diff --git "a/data/dm_maths/full_data/1375_11255.jsonl" "b/data/dm_maths/full_data/1375_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1375_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is the remainder when 6442 is divided by 119?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*f**2*j**2 + 391*f**2*j - 8*f*j + 30*j**2 - 19*j + 119 wrt f?\nAnswer: 4*f*j**2 + 782*f*j - 8*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 PM and 10:31 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2 - 3*x + 3. Let n(f) = 15*f**3 + 7*f**2 + 32*f - 27. Calculate 10*h(t) + n(t).\nAnswer: 15*t**3 - 3*t**2 + 2*t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 136956*l**4 - l + 21616?\nAnswer: 1643472*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 2*d = x + 6, x = 3*d + 13. Suppose h + 2 = 0, -5*a + 4*h + h = -5. Does 8 divide x*-14*(a - 2) - 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2151021, -2151033, -2151059, -2151105, -2151177, -2151281, -2151423?\nAnswer: -2151609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (216\/(-80) + 3)*(-11)\/33?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/15)\/(((-14742)\/(-130))\/(-21)).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7255 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-104)\/130)\/(4\/(-390)*-6*6\/12)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -3\/7*w**3 + 12\/7*w + 18\/7*w**2 - 24\/7 - 3\/7*w**4 = 0?\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 219255041?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d + 7*d - 3*d)*(-2*d**4 + 3*d**4 + d**4).\nAnswer: 14*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/(-6))\/(1\/6). Let o be (-10)\/8*(-2 + -2). Suppose 0 = 4*l + o*y, 2*l + 10 = -4*y + t. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.26? (a) 0.5 (b) 3 (c) 3.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 932228945?\nAnswer: 5, 613, 304153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*v - 52*v + 4*v**2 + 4*v**3 + 28*v as f*v**3 + k*v + c*v**2 + w and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 84\/10*(-70)\/(-42).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -17*h**2 - 436*h - 3342. Calculate y(-8).\nAnswer: -942","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 20*a**2 + 4*a + 3342. Give o(0).\nAnswer: 3342","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5.5961 - 0.0661. Let x = 5.83 - h. What is the nearest to 0.5 in 17\/3, x, -5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8d374 (base 16) in base 11?\nAnswer: 365637","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n - 16. Determine y(-8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 274169510?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00268475 rounded to four decimal places?\nAnswer: 0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6594*f**4 - f**3 - 2*f**2 + 10546.\nAnswer: 26376*f**3 - 3*f**2 - 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2*w**2 - w + 9. Let f be m(0). Suppose f*b - 31 = 131. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 178 is divided by 51?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.02 + -25.02. Sort k, -4, -1 in ascending order.\nAnswer: k, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 - 6*f**2 + 3*f + 7. Let m be q(5). Let u be (-1420)\/15*2 - 3\/(-9). Let o = -179 - u. Put 5, -2, m, o in ascending order.\nAnswer: m, -2, 5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -67 + 115 - (-2 - -32).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*d - 6*x + 2*x + 29, 2*x = -2*d + 4 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 990540?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*c + 0*c + 5*c)*(-69*c - 15*c**3 + 2*c**3 + 11*c**3) in the form d*c**3 + p + v*c + w*c**4 + f*c**2 and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-37)\/(-259))\/(12\/(-56))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 3:02 AM?\nAnswer: 2:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 10*i**3 - i**2 + i - 5. Let q be j(3). Suppose -3*p - 3*f + 789 = 0, 45*p + 3*f = 46*p - q. What are the prime factors of p?\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/12 - (-3 - (-52)\/16). Suppose f = -5*r - 3*t + 41 - 20, -2*t - 5 = -3*r. Calculate the lowest common multiple of r and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 238*r**2 - 10*r - 21. Suppose -3*a + 3*v + 0*v - 12 = 0, -5*v = -3*a - 12. Is c(a) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1764 - 1756. Calculate the smallest common multiple of 20 and c.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -2*x**3 + 9*x**2 + 6*x + 4. Give m(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 213.1652*123\nAnswer: 26219.3196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 54 + 124. Suppose 0 = 4*g - 3*h - 356, -2*g - h + d = -g. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**3\/2 - 87*m**2\/2 - 219*m + 264.\nAnswer: -3*(m - 1)*(m + 8)*(m + 22)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 460379 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s - l - 0 + 29, -5*l = -2*s - 10. What is the remainder when 143 is divided by s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the second derivative of 5*k**4\/36 + 85*k**3\/9 - k - 73. Factor x(n).\nAnswer: 5*n*(n + 34)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 534929 to the nearest integer?\nAnswer: 731","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2543 divided by 82674?\nAnswer: 2543\/82674","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 + 7*z**2 + 2*z + 2*z**3 - 1 - 8*z. Suppose -4*i + 3*i = 7. What is the remainder when b(i) is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10.03084ug to milligrams.\nAnswer: 0.01003084","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, 0.2, -127.138, 0.5, -1\/4 in descending order.\nAnswer: 5, 4, 0.5, 0.2, -1\/4, -127.138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 u when four letters picked without replacement from {u: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -8445200 to the nearest 100000.\nAnswer: -8400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 PM and 4:12 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.7519721319 to 4 decimal places.\nAnswer: 0.752","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 2*c**4 - 90*c**2 - 6*c + 402. Let i(k) = -15*k**4 + 720*k**2 + 50*k - 3215. Let d(u) = 25*f(u) + 3*i(u). Factor d(v).\nAnswer: 5*(v - 3)**2*(v + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 44, 104, 200, 344, 548, 824, 1184?\nAnswer: 1640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23, -45, -85, -155, -267, -433, -665, -975?\nAnswer: -1375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand g**3 - 12009 + 0*g**3 + 10874 + (4 - 3 - 2)*(2*g**3 - 3*g**3 + 2*g**3) + 3*g**2 - 3*g**2 - g**3 - 3*g**3 + 2*g**3 + 0*g**3 + 2*g**3 - g**3 - 3*g**3.\nAnswer: -4*g**3 - 1135","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 22 = 54. What are the prime factors of h?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -266.984888 + 269.985. Let f = 2.6 - -0.4. Let k = f - g. Round k to five dps.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 + 3 + 1)*-9*(-1)\/9. Solve x = z*u - 2, 0*u + 3*x + 14 = u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(16) + sqrt(1936) + sqrt(1936) + (2*sqrt(1936) - sqrt(1936)))\/(sqrt(128) + (sqrt(128)*-1 + sqrt(128) - sqrt(128)) - sqrt(8)) + 1.\nAnswer: -34*sqrt(2) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*-0.35.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10835.379 hours to days.\nAnswer: 451.474125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(-9 - -6)*(-7)\/((-462)\/4)?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 6098875?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.0411 - -0.0289. What is s rounded to 3 dps?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -10. Suppose -i*d + 45 = -3*d. Let x = 18 - d. Solve g + x = 2*l + 2*g, 5*l - 30 = 2*g for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00022084 to 6 decimal places.\nAnswer: -0.000221","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 38217?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*k + 4*k - 4*k**3 + 5 + 3*k**3 - 2 to the form c*k**2 + y*k + x + h*k**3 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -158169*d**5 - 32*d**3 + 13041542*d**2 - 2*d + 2?\nAnswer: -9490140*d**2 - 192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -414 = -5*x + 171. Let n = -1 + 1. Suppose n = 3*y - 0*y - x. What is the remainder when y is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2*l**3 + 4*l**2 + 21*l + 21. Is 11 a factor of k(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3698503 + 1001497. Round g to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-5 + 23 + -10) - -36 - 5 - 0.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 13, -18 in decreasing order.\nAnswer: 13, 5, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 23242 - 1?\nAnswer: 23241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 + -7.432201\nAnswer: -7.132201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 452 (base 7) in base 9?\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (7 - 6) + (1 - -4) + -15?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14285650321 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((3 - 3)\/2)\/(-2). Suppose -2*f + j = -5*n - 14, 0 = -f - n + 7. Suppose 0 = 4*r - 0*r - 5*b - f, 3*b + 1 = 4*r. Let w(s) = 6*s + 3. Calculate w(r).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*a**2 - 4*a**2 + a**2)*(22 + 32*a - 45 + 24).\nAnswer: -288*a**3 - 9*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1111 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6544445?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1319472 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1193042 and 496.1624?\nAnswer: 1193538.1624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*i**3\/7 + 1314*i**2\/7 - 156138*i\/7 + 612362 = 0. Calculate i.\nAnswer: -763, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -105*u**4 - 7*u**2 - 11*u - 899. Let a(k) = 21*k**4 + k**2 + 2*k + 180. Let x(g) = 11*a(g) + 2*c(g). What is the first derivative of x(i) wrt i?\nAnswer: 84*i**3 - 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 22\/(-11)*(-567)\/3. Solve 374*h - i*h = 8 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tgt when three letters picked without replacement from iciccibctccicdgit?\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 45*c**4 - 2*c**2 + 290*c?\nAnswer: 1080*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:33 AM and 8:59 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50768 divided by -38.\nAnswer: 1336","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/4*1*112\/(-350)*-20.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 95, 88, 77, 62, 43, 20, -7?\n\"Answer: -2*u**2 - u + 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -69811, -279440, -628825, -1117966, -1746863, -2515516?\n\"Answer: -69878*t**2 + 5*t + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - 2)*(-9 - -4). Solve -45 = -5*k - f*o, -2*k + 28 = -0*o + 4*o for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 3*o + 38. Let k = o + 63. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -62293, -124764, -187235, -249706, -312177, -374648?\n\"Answer: -62471*n + 178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence asa when three letters picked without replacement from assssass?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5*w - w - 3*w)*(1 + 5 - 4) + 4*w + 3*w - 5*w - w + 1 - 1 + 3*w - 1 + 1)*(-367 - 429 + 455 - 677).\nAnswer: -6108*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 70821\nAnswer: 7082.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2307575106?\nAnswer: 2, 3, 331, 387307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.437 - 6.437. Put -1\/3, f, -3, -821 in descending order.\nAnswer: -1\/3, f, -3, -821","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4487489?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - (7 + (9 - 7))) + (4 - 3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1838830?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(3\/8)\/(o*o**(-4)) assuming o is positive.\nAnswer: o**(27\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 3+150\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of -i**6\/360 - 2*i**5\/15 - 11*i**4\/12 - 55*i**3\/3 - 102*i**2 + i. Let c(a) be the first derivative of k(a). Calculate c(-15).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (539 + -6 + 1)*3\/6. Let u = 266 - o. Suppose 20 = 4*p, -9 = -4*c + 4*p - 9*p. What is the fourth biggest value in c, 0.04, 0.2, u?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -36*c**2 + 12*c + 32. Let x be r(-10). What are the prime factors of (-12)\/(-32) - x\/64?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 5546?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2 - 6*u - 14. Calculate the remainder when 127 is divided by l(-4).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -687.9116 and -8678945.\nAnswer: -8679632.9116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14516 is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -560 - -1082. Suppose -5*x = -2*y + t, -y - x = -6*x - 271. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*x + 50 + 302 = 0. Let g = 3 + 4. Solve 11*p = g*p + x for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c + 17 + 121 = -6. Sort -2, 7, c, 0 in decreasing order.\nAnswer: 7, 0, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1028.24 + -904.446. Let i = 0.206 + o. Let a = -123.99999788 + i. Round a to 7 decimal places.\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 20\/217, -5, -12?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 + 6*w + 3. Let x be d(-6). Suppose -j + x = -4. Solve 3 = -2*v - j for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 672 and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*12\/2*31\/(-1767).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 41, 34, 29, 32, 49, 86, 149?\nAnswer: 244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand s**3 - s**3 + 23*s**5 + (1 + 1 - 5)*(9*s**3 - 7*s**3 + 4*s**5 - 6*s**3).\nAnswer: 11*s**5 + 12*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 310 is divided by 136?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.98 + 0.98. Let k = -1.1 - -1. Which is the third smallest value? (a) i (b) k (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2311676?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 17, 26, 23, 8?\n\"Answer: -6*x**2 + 27*x - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -5*(-34)\/85*(-6)\/4\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 104\/315 and -11\/4725.\nAnswer: 4725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.1, 5\/2, -20, -3\/7, -1\/8 in increasing order.\nAnswer: -20, -3\/7, -1\/8, 1.1, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/11? (a) -0.018 (b) -1 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_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: Suppose -4*d - d = 25. Let y(l) = 3*l + 9. Let g(q) = -q - 3. Let v(s) = -7*g(s) - 2*y(s). Let c be v(d). Which is greater: c or -3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.091606 + 1.123464. What is c rounded to two dps?\nAnswer: 1.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 + (-2)\/1 - 3. Let v(f) = -f + 7. Let o be v(t). Solve 3*z + o = 1 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*v + 63 = -20*v. Calculate the greatest common divisor of 2 and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 + 4*x**2 + 4*x + 2. Let i = -5 + 8. Let w be 12\/(-8) - i\/6. Let d be g(w). Solve d*c + 7 = -1 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (48\/(-18))\/8*-15?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -142 or -11601\/7?\nAnswer: -11601\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 152 divide 564829?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.0726 - -0.6626. Which is the closest to k? (a) -3\/7 (b) 1\/4 (c) 2\/9 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15571, 64245, 145371, 258949, 404979?\nAnswer: 583461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1420 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: Collect the terms in 1213*r - 603*r - 3*r**3 - 610*r.\nAnswer: -3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 6 - 6 = 0. Calculate the least common multiple of -10 + 106\/4 - (-20)\/(-8) and f.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54594070.\nAnswer: 2, 5, 349, 15643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 2*h**3 + 270*h**2 + 532*h + 15. Give z(-133).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 22801721 to the nearest integer?\nAnswer: 284","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 7. Let p be (0\/w + -2)*2. Let u(x) = x**3 + 3*x**2 - 5*x - 5. Determine u(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 6344219 = 994219. Round o to the nearest one hundred thousand.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -62 + 68. Solve 3*f - 30 = -4*q - h, 4*q = 5*f - 8 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3345076?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*z**4 - 10*z**4 - 15*z**4)*(-3 + 1 + 3)*((-2*z + z + 2*z)*(2 + 3 + 0) - 8*z - 8*z + 2*z + 1).\nAnswer: 162*z**5 - 18*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3030333?\nAnswer: 3, 163, 6197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y. Let t(d) be the second derivative of d**5\/10 + 17*d**2\/2 - 2*d. Let x(u) be the first derivative of t(u). What is x(r(z))?\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -2*r**3 + 14*r**2 - 6*r - 14. Let i be v(9). Let n = -360 - i. Calculate the remainder when 478 is divided by n.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3520116 divided by -6?\nAnswer: 586686","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3*14\/8*-4. Suppose c - r - 2 = 0. Solve 4*x = h + 18, c = -2*h + h + 5*x for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -266412 = -24*u - 20436 + 157224. What is the thousands digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.84043 + -0.11257. Let f = 6 + y. Round f to two dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3885 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*o**4 - 2*o**4 + 5*o**4)*(o + o - 4*o) - 182*o**4 + 182*o**4 + 6*o**5.\nAnswer: 12*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23431 = w - 45*r + 49*r, -2*w + 3*r + 46862 = 0. What are the prime factors of w?\nAnswer: 23431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -2*v**3 + 7*v**2 + 8*v + 1. Let m be l(-1). Is m < 136\/73?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 59\/((-2655)\/(-75))*27?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -8858*h - 8857*h + 26566*h - 8853*h. Let v(k) = -10*k**2 + 2*k. Let i(j) = -20*j**2 + 5*j. Let r(d) = -4*i(d) + 10*v(d). Calculate r(z(f)).\nAnswer: -80*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do -1396 and -123 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = h + 5*d - 44, -140*h - 3*d + 36 = -137*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 38350.46t in kilograms?\nAnswer: 38350460","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the product of -33.94 and 0.88?\nAnswer: -29.8672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r - 2*r + r + (-4 - 3 + 6)*(7*r - 3*r - 2*r) - r + r + 2*r)*(-2 - 2 + 2)*(-3 + 1 + 3).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from {e: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = -5*s - 4. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*z + 4547 = -33*z. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + -7. Let d be 5\/(-20)*l*76. Let u = 91 - d. Solve u = z + 4*s, 0*s = -3*z - 4*s + 5 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 849 by 3.\nAnswer: 283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -6*d**3 + 29*d**2 + 881*d - 4680. Give q(5).\nAnswer: -300","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 42 = 2*v. Calculate the remainder when v is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(-4))**(-11))**7)**(3\/41) assuming o is positive.\nAnswer: o**(924\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, l: 2, i: 4, x: 2, v: 6, y: 2}. What is prob of sequence vnx?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -j**2\/4 - 1947*j - 7787\/4 = 0.\nAnswer: -7787, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 68890533 divided by 5\nAnswer: 68890533\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 600384 divided by 59.\nAnswer: 10176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -2*o**3 - 5*o**2 - 5*o - 68. Let g be v(-5). Let h be (-3 - -5)\/(3\/105). Solve h - g = -3*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (75\/(-125))\/(198\/(-20)).\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/9)*i)\/i**(6\/11)*(i*i**(-2\/7)*i)**(3\/14) assuming i is positive.\nAnswer: i**(5065\/4851)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1313 >= -1307?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108514*q - 108320*q = -9118 for q.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16230.\nAnswer: 2, 3, 5, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4421 (base 6) to base 8.\nAnswer: -1775","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -8*f**2 - 3. Let y(o) be the second derivative of 3*o**4\/4 + 2*o**2 + 48*o. Calculate -4*a(x) - 3*y(x).\nAnswer: 5*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (605 - 623) + (1 - -61) - 25.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -47 - -46.94. Let f = 2 - 7. Sort p, f, -0.5.\nAnswer: f, -0.5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -533*l + 130 = -511*l - 131 - 157 for l.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 14, -7, 0.08?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/(-35) - (-166)\/(-15))\/((-1007)\/(-9063)).\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, e: 8, f: 6}. What is prob of picking 4 k?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*k + 736 = -1628. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-55)\/(-15) + -2)*(-414)\/(-46).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 129653, 259196, 388741, 518288, 647837?\n\"Answer: l**2 + 129540*l + 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.2 - 0.1. Suppose -5*z = -3*c + 3, -5*c = -2*z - 2*z - 18. Let f = 545 + -541. What is the closest to s in c, f, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 274 divide 30108764?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -4 + 4*s**2 - 26*s**2 + s**3 + 7*s**2 + 15*s. Calculate i(14).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 60 = 102. What is the lowest common multiple of 3 and i?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 + -6. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 303 is divided by 92.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 52\/71 - 227\/213. Sort 1, -2, f, -2\/1327 in descending order.\nAnswer: 1, -2\/1327, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 105*d - 619. Determine c(10).\nAnswer: 431","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y. Suppose 4*x = -x. Let q(p) be the second derivative of 0 - 2*p + 2\/3*p**3 + x*p**2. Calculate q(u(m)).\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*v + 68002 = 16*v - 130070. Does 30 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 3 + 3 + -2 - 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the second derivative of -589*f**7\/6 - f**3 - 7*f**2\/2 + 1128*f. What is the second derivative of g(a) wrt a?\nAnswer: -82460*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7178 - -4122. Round t to the nearest 10.\nAnswer: -3060","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p + 5. Let h be f(-4). Let i(u) = 1. Let q(g) = -g - 1. Let n(j) = 6*j + 1. Let a(s) = -n(s) - 5*q(s). What is h*a(k) - 5*i(k)?\nAnswer: -k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -1\/2 (b) -1 (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - 4. Let x be ((-305)\/20)\/((-1)\/4). Suppose 0 = m*w + 3*o + 2*o - x, -o + 164 = 5*w. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -4*k - 3*r + 19, 4*k + 2*r - 14 = 0. Suppose -7*g + k*g = -3*v + 60, 45 = 2*v - 5*g. What is the least common multiple of v and 21?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d + 0*d = 45. Suppose d*f - 123 = -w, -2*f = 3*f + 2*w - 121. Solve 3*j - 7*r + 35 = -3*r, j = 4*r - f for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 43 + -29. Let q = l + -17. Let t(h) = h**2 + 3*h - 4. Let g be t(-3). Is q < g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -709.56305 rounded to one dp?\nAnswer: -709.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7709 + -2773155?\nAnswer: -2765446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 50347723 to the nearest integer?\nAnswer: 369","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 0*q**3 - 8*q**2 + 10*q - 6 - 3*q**3 + 4*q**3 - 1. Does 3 divide d(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 12*q + 5. Let j be r(4). Let o = -170 + j. What is the common denominator of 5\/(105\/o) - -2 and 50\/11?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10019 - -1799. What is y rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 115, 99, 73, 37?\n\"Answer: -5*p**2 - p + 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 4*x - 90 = 0, -3*x - x = -4*a + 120. Calculate the remainder when 65 is divided by a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, s: 11}. What is prob of sequence sss?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 332*c**2 - c - 1. Let i be x(-1). Suppose 4*h - 8*h = -i. What is the remainder when h is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/(-27)*-3 + (-145)\/(-261)\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1902 - 4*u + 1902.\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (6 - (0 + 3)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - 0. Let o = -3.2 + 3. Let w = 457\/5 + -91. Which is the closest to j? (a) w (b) o (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26491552 - -15191552. What is q rounded to the nearest one million?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -2*v. Let q(o) = 6003283*o**2. Determine z(q(a)).\nAnswer: -12006566*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1138564223?\nAnswer: 373, 3052451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 4 - 5 + 2 - 3*g + 4*g. Let z be u(5). Let t be (6\/4)\/3*z. Solve 0 = -3*b + 2*b + t for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:23 AM and 12:10 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -10*u**3 + 11*u**2 + 9. Let r(p) = p**3 - p**2 - 1. Let b(j) = -2*n(j) - 22*r(j). Differentiate b(x) with respect to x.\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 38.671, 3, 28, -0.2 in increasing order.\nAnswer: -0.2, 3, 28, 38.671","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1189*k - 679 + 679)*((-3 + 4 - 3)*(0*k**3 + 4*k**3 - k**3) + 0 + 0 - k**3).\nAnswer: -8323*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -i - 30, 3*i + 2*j = -2*i - 186. Let n = 74 + i. Suppose 0 = 2*z + n - 482. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2832*q**2 - 2460*q**2 + 2811*q**2.\nAnswer: -2481*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -26 (c) 5 (d) 23\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 188*q - 195*q = -28. Find the third derivative of 0*y + 60*y**6 + 16*y + 9*y**2 - 422*y**4 + 420*y**q wrt y.\nAnswer: 7200*y**3 - 48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.18362429 to 3 decimal places.\nAnswer: -1.184","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (51*c**2 + 58*c - 58*c)*(0 + 0 + 2) - c**2 + 0*c + 0*c + (4 - c - 4)*(-2*c + 2 - 2).\nAnswer: 103*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -112 + 19 + 7*k + 50 + 46. Let v(h) = 4*h + 2. What is 5*v(j) - 3*x(j)?\nAnswer: -j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62425*g = 62383*g - 2520 for g.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 times 0.28?\nAnswer: 2.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11*b**4 - 24*b**3 - 440*b**2 + 29499*b - 1.\nAnswer: -132*b**2 - 144*b - 880","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1 and -317.605.\nAnswer: -318.605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 971136829 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9\/52 - -12\/13. What is the closest to -953 in -4, -1\/12, v, 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2292*y - 680 = -2326*y. Solve 14*g - 18*g + y = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 6*t. Let a(c) = 23*c**2 - c + 319280. Determine a(g(y)).\nAnswer: 828*y**2 - 6*y + 319280","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, l: 5, a: 6}. Give prob of sequence laaa.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6643a + -4b?\nAnswer: 663de","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 4:29 PM?\nAnswer: 6:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 - -19 - (-113 - -68)?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 25\/(25\/(-8)) - -37 and -2*(-3 + (-1 - -3)).\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - 0 - ((19 - (-5 + 24)) + -5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) 2 (c) 2\/7 (d) -14 (e) 57 (f) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2454 and 6544?\nAnswer: 19632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 24, 58, 106, 174, 268, 394, 558?\n\"Answer: j**3 + j**2 + 24*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/3*(6\/4)\/1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-11 + 9)*(-59 - -6). Calculate the highest common factor of f and 318.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 5*b = -2 - 3, -2*b + 30 = 2*u. Suppose u*h - 7*h = -2*k + 145, 296 = 4*k + 4*h. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + (-1 - -4) + 0. Suppose y*d + 754 = 5*a, -4*a - 4*d = -d - 587. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 + 12299*f**2 + 469*f - 467*f + 2.\nAnswer: 12299*f**2 + 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/4 - (-56)\/32. Suppose -4*w = -p - 0*w + 14, -4*p = 2*w - d. Calculate the highest common divisor of p and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.1301 - 0.0029. Which is the biggest value? (a) y (b) 0.4 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2\/111145 - -15204638\/111145. Let h = 138 - v. Which is greater: -1 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 33*n**2 + 2*n**3 - 1 + 1 + 330*n - 223*n**2 wrt n.\nAnswer: 12*n - 380","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*v**6 - 384*v**4 + 6*v**3 - 69*v**2 + 42.\nAnswer: -240*v**3 - 9216*v + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*s**3 + 21613244*s**2 - 410736719*s?\nAnswer: 30*s + 43226488","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 30*d + 43*d - 14614 - 26266. Solve d = 57*u + 161 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*3*-1*sqrt(5) - sqrt(800)\/sqrt(10)*4) + 1)**2.\nAnswer: -20*sqrt(5) + 501","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 45\/37? (a) 16 (b) -2 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 2*i + 3 = -5, k + 2 = 5*i. Let s = 15 + k. Solve -22 = s*q - 8*q + 2*n, -15 = -5*q - 5*n for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/198 - (12\/(-22))\/3. Let r = -84 + 82. What is the smallest value in 3\/4, d, r, 0?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 AM and 8:53 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -161, -162, -165, -170, -177, -186, -197?\n\"Answer: -i**2 + 2*i - 162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/(b\/(b**5*b))*b*(b*b\/(b**(-1\/5)*b))\/b*b*(b**0)**(8\/13) assuming b is positive.\nAnswer: b**(41\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 + 13. Let -8*v**3 + 7*v**3 + 0*v**3 - 3*v - 3*v**2 - n + 1 = 0. What is v?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23459 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -u + 1, 86 = 4*t + 3*u. Let x = -12 + t. Suppose -3*y + 14 = 3*w - 1, y - w = x. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-25)\/(-120))\/(5\/2).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41503 (base 6) to base 9.\nAnswer: 7583","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*t + 228 - 73 = -130 for t.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24537 + -24545. Let n(t) = t**2 - t + 1. Let w(u) = 22*u**2 + 10*u - 8. What is y*n(p) - w(p)?\nAnswer: -30*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + 7c2c4?\nAnswer: 7c2c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = -q - 3*q - 4, 0 = 2*a - 8 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 y when three letters picked without replacement from {z: 2, y: 12, q: 3, t: 3}?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((27\/6)\/(-3))\/((-616)\/5544*(-9)\/74)?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 + 12*h - 57. Determine y(0).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 37.12+2221\nAnswer: 2258.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 11 = 41. Let i = -20 - h. Is 16 + (-6)\/(i\/3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -892141785 to the nearest 1000000.\nAnswer: -892000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(30\/5)*141. Let x = 0.692 + -0.692. Put x, -4, g in increasing order.\nAnswer: g, -4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sschashhsssgp. What is prob of sequence ss?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 660 and 2255682?\nAnswer: 22556820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*v - 28*v + 10*v)*(-3 - v + 3) - 5*v**2 - v**2 + 2*v**2 to the form a*v**2 + f*v + c and give a.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 + 4*v**2 + v + 2. Let b = 107 - 111. Give n(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3424\/(-321) + (1 - -10)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -20805015\/34 or -611913?\nAnswer: -20805015\/34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 - 156 = 3*t, 7*l - t = 4*t + 270 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1563, 6225, 17041, 37089, 69447, 117193, 183405, 271161?\nAnswer: 383539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by -13\nAnswer: -7\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (348\/(-5568) - 177\/(-16)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 0 + 14 + -16 + 11 + -10 + -14\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(57)*3 + sqrt(57))*5 + sqrt(1425)*-4)\/(sqrt(3)*2*-3 - -4*(sqrt(48) - sqrt(3))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.353690597 to 5 decimal places.\nAnswer: -1.35369","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 134*i**2 + 2*i**3 - 134*i**2 - 5*i - i**2 + 2*i**3 + i**2 + (2*i + 2*i - 2*i)*(-2*i**2 + 3*i**2 + 0*i**2).\nAnswer: 6*i**3 - 5*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6c7b56 (base 13) to base 7.\nAnswer: -30665414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -26012*p - 130081. Calculate q(-5).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*s - 583*s + 295*s - 742*s - 545*s + 31 wrt s.\nAnswer: -1583","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -5*w - 5. Let r be c(-2). Solve -5*k - 15 = 0, -2 = -r*q + 4*k + 10 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -22*r - 731*r**4 - 19*r + 694*r**4 + 4*r wrt r?\nAnswer: -444*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 273693068?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -41*g**3 - 2*g**2 + 1. Let r be h(-1). Solve -35 + r = 5*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 0.086 (c) 0.6 (d) -17 (e) -2 (f) 0.042\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, 2, 4, 13 in increasing order.\nAnswer: 2\/13, 2, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 27293*p - 190973. Calculate n(7).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m + 5. Let c(l) = -1. Suppose 0 = 2*q - 2*z, -4*q = -5*z - 4 + 5. Calculate q*i(j) + 5*c(j).\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*q**2 - 93356*q\/3 - 828608\/3.\nAnswer: -4*(q + 1936)*(12*q + 107)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03356095517 rounded to five dps?\nAnswer: 0.03356","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -193, 4, 8000, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.8201613 rounded to one dp?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1700)*-3 + sqrt(1700))*6 + -5 + (0 + sqrt(1700))*-1 + (sqrt(1700) + sqrt(1700)*1 + sqrt(1700))*6)*5 + -2)**2.\nAnswer: -13500*sqrt(17) + 1063229","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1985448 and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7728 = 1784*t + 343 + 44849 for t.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.674 + -4.574. What is the closest to 19 in f, -1\/2, -2\/5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/1443 and 43\/52.\nAnswer: 5772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 25410 and 15246?\nAnswer: 76230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 30 = 3*h, -3*h = -0*f + 3*f - 30. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/(((c*c**(-3\/10))\/c)\/c)*c**(-3\/4)*c*c assuming c is positive.\nAnswer: c**(71\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -133\/132 and ((55\/150)\/11)\/((-18)\/5)?\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the third derivative of 0 + 1\/30*t**5 + 0*t - 5\/24*t**4 - 1\/2*t**3 + 20*t**2. Is 30 a factor of p(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 4 - 19*i**3 - 10*i**3 + 60*i**3 + 2*i - 3*i**2 - 26*i**3. Let m(p) = -11*p**3 + 7*p**2 - 5*p - 9. What is 3*m(o) + 7*u(o)?\nAnswer: 2*o**3 - o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.5 + 1. Let w = 32 - 17. Suppose 5*b + w = -s, 2*s - 5*s + 3 = -b. What is the closest to -1 in s, -1\/7, q?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -125437891, -125437892, -125437893?\n\"Answer: -c - 125437890","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.741 rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 3) + 6\/(1 + -4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -2*c - 8*c + 5*d, 2*c - 2*d - 15 = -29 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 0 + 2*l**2 + 4076*l + 3 - 4076*l.\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -52.42 + 51. Let w = j - -65.42. Let g = w + -64. Does g = 41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 82\/(3 - (-7)\/(-3)) + -4. Calculate the highest common factor of g and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 5*m**2 + 2*m - 21. Does 6 divide j(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the third derivative of -a**8\/504 + 8*a**7\/105 - 83*a**6\/90 + 44*a**5\/15 - 121*a**4\/36 + 29*a**2 + 4*a. Suppose r(h) = 0. Calculate h.\nAnswer: 0, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 14872046.\nAnswer: 133848414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2*w**3 + 116*w**2 - 138*w + 1629. Calculate m(57).\nAnswer: 261","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2150 and 15846274?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a millimeter in micrometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, 10, -12, -70, -176, -342?\nAnswer: -580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5\/(-10)*8\/(-2). Suppose 2*h + 4 = h. What is the remainder when 14 is divided by p\/8 + (-31)\/h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -4*q**3 - q**2 + q + 1. Let v be t(-1). Suppose 0 = -v*x + 214 - 19. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 736 a factor of 3047776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o = 3*u - 4*o - 28, -2*u - o + 22 = 0. Suppose 89 = u*c + 29. Solve c*n = 8*n - 6 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87207752.\nAnswer: 2, 1489, 7321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*(-6 - -3) + (-1 - -1). Let b = y - 93. Let j = b - -104. Let s(q) = q**3 - 9*q**2 + 7*q + 8. Give s(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 27 + (-28 - -21)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 2*g**3 - 13*g**2 - 17*g - 1. Let r(x) = x**3 - x - 1. Let b(v) = -p(v) + r(v). Let h be b(14). Calculate the greatest common factor of 14 and h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -31\/84 + 1\/12. Which is the nearest to o? (a) 1\/5 (b) 1\/8 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -152439966 by -3.\nAnswer: 50813322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*r**4 + 117535972*r**3 - 30055*r**2 - 78*r - 26 wrt r.\nAnswer: 48*r + 705215832","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 30, 188, 460, 852, 1370, 2020, 2808?\n\"Answer: z**3 + 51*z**2 - 2*z - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -181*o - 960 = -187*o. Does 12 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9046.552 weeks to nanoseconds.\nAnswer: 5471354649600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 17*z**3 + z**2 + 45*z - 32. Let c(k) = -50*k**3 - 3*k**2 - 136*k + 91. Calculate 6*c(t) + 17*s(t).\nAnswer: -11*t**3 - t**2 - 51*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1\/10 of a millennium?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 4:29 AM?\nAnswer: 8:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2 - ((27 - (-12 - -35)) + (2 - -9))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2047, 4097, 6147, 8197, 10247, 12297?\n\"Answer: 2050*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 6 + 16*x - 3.\nAnswer: 16*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 - ((2 - 3) + 1). Let d = 0 - u. Let w be d + -9*3\/(-3). Calculate the greatest common divisor of 110 and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1))**(-11)\/((l\/(l\/(l**(2\/23)*l))*l)\/l**(-2\/3)))**(-42) assuming l is positive.\nAnswer: l**(-7966\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**6*p*p\/(p\/p**(-9))*(p\/(p\/p**(-3\/5)))\/p*(p**3*p*p)\/p assuming p is positive.\nAnswer: p**(2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3315366632.\nAnswer: 2, 251, 439, 3761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 3*j - 4569 = 3*o, -5*o - 4563 = -j. Let d be o\/(-42) - (-2)\/7. Let n = d - 16. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8.183 + 8.083. Are j and -15.98 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1638209234?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1999 to the power of 1\/2, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add -716.94 and 35.\nAnswer: -681.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 PM and 8:24 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -120 - -122. Suppose -3*u - a*c + 168 = 15, 3*c + 89 = 2*u. Calculate the lowest common multiple of 2 and u.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*a - 2790 = 255*a for a.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 51293 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -5*v + 6 + 12, -5*q = 2*v - 11. Suppose -2*z = 5*h - 28, 0*h + v*z - 3 = -h. Does 2 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/1908156 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -1. Let m(n) = -n + 3. Let l(d) = -2*a(d) - m(d). What is the units digit of l(9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -5, -4.9, 12, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*f - 22*f - 38 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 369539554?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*b**2 + 28*b**2 + 0*b**3 - b - 71 + 70 + 0*b + b**3 in the form x*b**2 + q*b**3 + t*b + v and give x.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2950063\/4880 - 3023\/5. Find the common denominator of k and 55\/16.\nAnswer: 976","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 - 83 = 4*t. Let m(y) = y**3 + 26*y**2 + 24*y - 23. Let f be m(t). Suppose -f*x + 3641649 + 5138351 = 0. Round x to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*j + 39 + 17 - 18 + 9 in the form n*j + k and give k.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 - 71*m + 5884. Let z be n(49). Solve -z*c + 32 = -4*v, 4*v + 19 + 9 = 3*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 + 5. What is the third smallest value in -0.06, 0.4, k?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13283 + -13254. Solve -x + 218 = -27*l for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-408)\/54 - -2)*10\/8 and -41\/22.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 7, k: 2}. Give prob of picking 1 k and 2 q.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 129558059 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -30*d**3 - 160*d**2 + 126*d + 7. Give y(-6).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 50*s**2 + 16*s + 10. What is the remainder when 461 is divided by y(-1)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.1654 + -13.8416. Let n = -0.107 - x. Round n to the nearest integer.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -65 - -123442?\nAnswer: 123355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3012212200 (base 4) to base 8\nAnswer: -3064640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-36)\/2)\/6)\/((-2)\/2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 n when two letters picked without replacement from {i: 6, x: 7, c: 2, n: 2, f: 1, m: 1}?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 671, 669, 631, 533, 351, 61, -361?\nAnswer: -939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(1470) - (sqrt(1470) - -4*sqrt(1470))))\/(sqrt(486)\/sqrt(9) - (sqrt(60) + (sqrt(60) + sqrt(60)*-3 - sqrt(60)))\/sqrt(10)))**2.\nAnswer: 3136\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13024483.\nAnswer: 13024483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5742430?\nAnswer: 2, 5, 17, 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 + (-159)\/6)*-2. Let q = 27 - u. Let r = q + 18. Which is greater: -5\/2 or r?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -111*q + 1999 + 289*q - 1999.\nAnswer: 178*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -1593.81812 to the nearest 100.\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(272) + 1 + sqrt(272))*-6 + sqrt(272) + sqrt(272) + 3.\nAnswer: -40*sqrt(17) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000049338 to 7 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/13, -97\/4, 740, 2\/23, -3\/8 in decreasing order.\nAnswer: 740, 2\/23, -2\/13, -3\/8, -97\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 328556 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -17395, -51, -4 in descending order.\nAnswer: -4, -51, -17395","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*t + 7770 = -36*t. Find the common denominator of (-2)\/(1104\/t - 2\/(-5)) and 61\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10983 and 781293.\nAnswer: 2860313673","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from {m: 2, c: 2, o: 4, j: 1, f: 1, n: 4}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 9:24 AM?\nAnswer: 2:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of 18248?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1350235810?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -3*b - 1. Let y be q(-1). Suppose 4*w + 4 + 2 = y*t, 18 = -3*w - 3*t. Let m = w + 8. What are the prime factors of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 32\/18 + -5 + 3. Let u be ((-3)\/12)\/(9\/(-4) - -2). Which is bigger: u or w?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3213 and 210.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 0.062, 0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of k**6\/180 + k**5\/12 + k**3\/2 - 4*k**2. Let b(o) be the first derivative of j(o). Does 14 divide b(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.4 + 0.8. Let g(d) = -d**2 - 5*d + 5. Let f be g(-5). Let h be (-2)\/f + (-9)\/(-10). Which is the closest to 2\/5? (a) z (b) h (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o - 2. Let s be j(0). Let x be (-16)\/(-3) - s\/3. Suppose 3*v = -0 + x. Calculate the greatest common divisor of v and 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (2 - 5) + 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 - 217?\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.8 - -5.8. Let n = -10.2 + 10. Let z be (-26)\/8 + (561\/68 - 9). Sort n, z, 0, o.\nAnswer: z, n, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1286*0.8\nAnswer: 1028.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*2*(sqrt(7) + 4*-2*sqrt(7)).\nAnswer: 42*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/672 and 17\/7840.\nAnswer: 23520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + 6. Suppose -5*u = -5, p = 2*b + 4*u - 29 - 169. Suppose -f + 4*i + 90 = 0, -b = -f - 2*i + 23. What is f rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -0.1 (b) 0.3 (c) -61903.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 126 and 1134.\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u + 2. Let s be o(0). Suppose -s + 6 = -4*f. Let z(p) = p**3 + p**2 - 3*p - 2. Let b(w) = -w**2 + w + 1. Calculate f*b(d) - z(d).\nAnswer: -d**3 + 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.0222 times 0.2\nAnswer: -0.00444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 36*n**2 - 16*n**5 - 36*n**2 + (1 - 1 - 2*n)*(0 + 0 - 2*n**4) + n**5 + n**5 + 0*n**5 - 2*n**5 + 4*n**5 + 0*n**5 + (-6*n**4 - 33 + 33)*(-2*n - 2*n + 3*n).\nAnswer: -2*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d*d\/(d\/(d\/(d*d**(-1\/4)*d)))))**38)**44 assuming d is positive.\nAnswer: d**1254","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 5*w = -48. Suppose a + w = -3*a. Let d be 1120\/1078 + 18\/(-21). Sort a, d, -0.5.\nAnswer: a, -0.5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.02315 - 3.02315. Which is the biggest value? (a) l (b) 46 (c) 8 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 1480 = -5*y, y = -0*y + 5*d + 276. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v. Let h = 4 - 10. Let w = h + 8. Let i(m) = -2*m**2 + w*m**2 + 2*m**2. Determine i(y(c)).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 9008849 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -179 + 182. Let q(g) = -1018 + 1018 + m*g**2. Let v(n) = -3*n. What is v(q(t))?\nAnswer: -9*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Find s such that 3*s**5 - 201*s**4 + 2358*s**3 + 27606*s**2 - 2361*s - 27405 = 0.\nAnswer: -7, -1, 1, 29, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.57, 2\/15, 419, 0, 1, 7\/4 in ascending order.\nAnswer: -1.57, 0, 2\/15, 1, 7\/4, 419","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -21220 - -134?\nAnswer: -21031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -1\/5, 0, 0.3, 2\/7, 11.2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1689 divided by 2?\nAnswer: 1689\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes before 7:58 AM?\nAnswer: 4:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 4:26 AM?\nAnswer: 12:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15\/4974536 and 56\/3789.\nAnswer: 44770824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2914\/(-521606) + (-201)\/(-3938).\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(-105))\/(26*1\/26*(-9)\/(-5))?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 3*h. Let z(i) be the first derivative of -i**3\/6 - i**2\/2 - 31*i + 3. Let l(q) be the first derivative of z(q). Calculate -l(j) - p(j).\nAnswer: -2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00004585 rounded to six dps?\nAnswer: -0.000046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 4, h: 2, x: 1, e: 1}. Give prob of sequence xhhe.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 84 and 1218?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of c**5\/20 + c**4\/4 + c**3\/3 - c**2. Let z be s(-4). Suppose j - 2*j + z = 0. What is the greatest common factor of 13 and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 152.87 - 152.4. Which is the third biggest value? (a) v (b) -1\/5 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 208\/7*p - 2\/7*p**2.\nAnswer: -2*p*(p + 104)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 16 + 10*w**2 + 16*w**2 - 3*w + 1. Let v(x) = -9813*x - 6 + 19624*x - 9*x**2 - 9810*x. Determine -4*n(r) - 11*v(r).\nAnswer: -5*r**2 + r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*y - 2*g, 0 = -y - 12*g + 14*g - 15 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 152 = 5*u, u - 3782 + 3748 = -71*f + 72*f for u.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10403 - 3492. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*a**2\/21 + 1634*a\/21 - 410\/7.\nAnswer: 2*(a + 205)*(4*a - 3)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.962889 milligrams to nanograms.\nAnswer: 3962889","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oolbbbbaa. What is prob of picking 1 l and 1 b?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y + 1. Let x(p) = p + 18. Determine 4*t(l) - x(l).\nAnswer: 3*l - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5.813 - -0.087. Let c = f + -0.9. Let y = -4 + c. What is the third smallest value in -0.5, -1, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1318 * -5353.1.\nAnswer: -7055385.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -6070.15 plus 119?\nAnswer: -5951.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -713 (b) 3 (c) -88\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 4*a + 30 = 0, -4*a = -4*s + s + 5 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*l = 9*l - 4705 + 5365 for l.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*q + 15*q**2 + 6*q + 3*q - 5*q.\nAnswer: 15*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 20247385?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8370 and 63612?\nAnswer: 318060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 230, 427, 612, 779, 922, 1035?\n\"Answer: -q**3 + 204*q + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - f + 2)*(f + 1 - 1)*(f + 5*f + 12*f).\nAnswer: -18*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -225280089*y**4 + 140047337*y**2 - 2 wrt y?\nAnswer: -5406722136*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 499478000 to the nearest 1000000.\nAnswer: 499000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 265, 531, 797?\n\"Answer: 266*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -2964 to the nearest one hundred.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + 0 - -14) + (-1785 - -1786).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qhwm when four letters picked without replacement from hwmmqh?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 2\/583, -2\/3, -4.\nAnswer: -4, -2\/3, -0.2, 2\/583","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 0*t - 13*t**2 + 2*t - 2*t - 7*t**3 wrt t?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 99 - 33. Which is bigger: -2\/3 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8 - -6)*5\/2. Is 2 - 2 - (-162 - m) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 86 - -42. Suppose 0 = 2*o, 5*u - 117 = -5*o + p. Let w = u - 33. What is the lowest common multiple of w and 18?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3426?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1000) - (sqrt(1000) + (sqrt(1000) - -2*2*sqrt(1000))))*1)\/(2*(sqrt(14)\/(-2*sqrt(7)) - sqrt(4)\/(sqrt(18) + sqrt(2))))*-4.\nAnswer: -400*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 338479, 338493, 338535, 338617, 338751, 338949?\n\"Answer: 2*d**3 + 2*d**2 - 6*d + 338481","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Solve -1681 = -2037852*l + 2037811*l for l.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzacaazaczabyzzbw. Give prob of picking 2 z.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 + 14721*f + 28 + 2403*f - 13 + 2*f**2.\nAnswer: 2*f**2 + 17124*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3663789 millennia in years?\nAnswer: 366.3789","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*d - 7*d + 3*d + 1621*d**2 - 386*d**2 to the form f*d + h + i*d**2 and give i.\nAnswer: 1235","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 = 7*a - 76. Calculate the remainder when a is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -2*z**2 + 248. Let n be f(0). Suppose 4*r + 16 = n. Is 19 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -28502 not equal to -28505?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than -2\/251519?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*n + 17*n + 470 = 0 for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/16 (b) -37\/11 (c) 1.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*b + 7*b = -5*r + 817, 5*b + 503 = 3*r. Let k = 168 - r. Calculate the greatest common divisor of 5 and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 5*p + 13238 = -0*p + 13228, w = -2*p + 4 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nu when two letters picked without replacement from {n: 7, u: 1, s: 4, l: 1, r: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 - 9 = 4*r + d, 3*d = -5*r + 3 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes before 10:32 AM?\nAnswer: 11:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22.848 - 21.848. Which is the fourth smallest value? (a) -3 (b) -0.19 (c) f (d) -1\/5 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaag when four letters picked without replacement from ooaoooeessogaasoooa?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-186)\/(-2) - (2 + -4). Let t be ((-6)\/10)\/((-19)\/n). Factor -155 - 16*g + 24*g**2 + 2*g**4 - 12*g**t + 155.\nAnswer: 2*g*(g - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 - 9*n + 3. Let r be 5\/2*(-90)\/(-25). Let q be f(r). Let m be (2\/q)\/((-3)\/(-9)). Solve -4*w = 3*d - 4, -2*d = -m*w - 4*d for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 a factor of 268653525?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -189, -739, -1653, -2931, -4573, -6579?\n\"Answer: -182*g**2 - 4*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/178920109 less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - 9. Let i(m) = 2*m**2 + 8*m + 6. Let v be i(u). Calculate the highest common factor of v and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) -200 (b) 1\/5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 84 and 3108?\nAnswer: 3108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 825 and 15150?\nAnswer: 166650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v. Let u(k) be the first derivative of -k**4\/8 + 9*k**2\/2 + 6. Let d(s) be the second derivative of u(s). Determine x(d(j)).\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.1, -6\/5, 0.4, 1\/2 in decreasing order.\nAnswer: 1.1, 1\/2, 0.4, -6\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 9*(-5)\/12*488\/(-305). Let l(h) be the first derivative of -h**3 - 11*h**2\/2 - 1. Let t(w) = 4*w**2 + 12*w. Determine g*l(o) + 5*t(o).\nAnswer: 2*o**2 - 6*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4228308 a multiple of 147?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of 0*u + 1\/4*u**4 - 2*u**2 - 1\/60*u**5 + 6 - u**3. Let p(x) be the second derivative of k(x). What is p(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 4 + -2 + -3 + 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 116609, 116617, 116639, 116681, 116749, 116849?\nAnswer: 116987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -4*u - 26. Let m(q) = -2*q - 12. Let o(v) = 9*m(v) - 4*p(v). Let b(y) = 3. Let w(i) = 1. Let a(s) = -b(s) + 2*w(s). Give 6*a(f) - o(f).\nAnswer: 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/14 + 104\/28. List the prime factors of (-6)\/(-3) - h\/(-1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8396131\/307 - 27349. Let p be ((-10)\/5526)\/(((-56)\/(-101052))\/(2\/(-12))). Let u = q - p. What is the common denominator of u and 97\/24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*w**5 + 90*w**3 + 3*w**2 - 6*w + 52?\nAnswer: 480*w**2 + 540","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*b**4 - 16*b**3 + 5*b**2 + 2*b.\nAnswer: b*(b - 1)**2*(9*b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 243815 is divided by 78?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**1\/q*q*q**(8\/13)*q assuming q is positive.\nAnswer: q**(34\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*j + 22 + 8 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 6*k - 7. Let p(q) = 5*q - 8. Let n(w) = -5*p(w) + 4*y(w). Let a be n(8). Sort 2, a, 3 in descending order.\nAnswer: a, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 129519924.6 and -3.\nAnswer: 129519921.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3171, -12427, -27539, -48249, -74299, -105431, -141387?\nAnswer: -181909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 3*t**2. Suppose 12 = -21*a + 17*a + 4*d, -5*a = 5*d - 15. Let j(s) be the second derivative of -s - 1\/2*s**3 + 0*s**2 + a. Determine j(x(q)).\nAnswer: -9*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -4*d. Let k(b) = -b**3 + 16*b**2 - b + 43. Let u be k(16). Let a(s) = -34*s**2 + 9*s**2 + 14*s**2 + u*s**2. What is a(i(o))?\nAnswer: 256*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -656*w. Let n(a) = 2*a**2 + 243756 - 243756. Give n(d(s)).\nAnswer: 860672*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1182289059 to the nearest integer?\nAnswer: 1057","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 476, 1502, 3216, 5618, 8708, 12486, 16952?\nAnswer: 22106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/17688 and -17\/4.\nAnswer: 17688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 406321364?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 263*j**2 + 30 - 30 + 207*j**2.\nAnswer: 470*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14 + 15. Let r = 0.8 + 0.2. What is the nearest to h in 0.2, r, -2\/3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 467*b - 13130 = 19093 for b.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 11:23 AM?\nAnswer: 4:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.48 - 3.28. Which is the smallest value? (a) -3 (b) 0.92 (c) 0.5 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -165*n*s**3*u + n*s**2 - 37*n*s + n*u - 6*s*u wrt s.\nAnswer: -990*n*s*u + 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 884269281 divided by 2.\nAnswer: 884269281\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -3*k**3 - 5*k**2 + 5*k + 1. Suppose 2*u + 0*u - 82 = 0. What is the remainder when u is divided by y(-3)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o**(-5\/8)*o)**24*o*o\/o**0*o*o\/(o*o\/(((o\/(o\/o**(-8)))\/o)\/o)) assuming o is positive.\nAnswer: o**49","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/36*-1 + (-11465)\/(-6). Let c = 4 + 1. Suppose -4*r - 962 = -2*s, -s - 3*s - c*r + j = 0. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yahhhyhhyhhyyyyahy. Give prob of picking 1 a and 2 h.\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.02 - 3.98. Let a = 190 - 193. What is the nearest to 1 in 1, d, a?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o + 4*o - o + 2*o - 3*o - o + (3 - 4 + 3)*(-2 + 2 - 2*o) + 5*o - 3*o - 3*o - 3*o + 0*o + 5*o)*(454*o - 569*o - 1199*o).\nAnswer: 2628*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3355708?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.537386511194+6.9\nAnswer: 6.362613488806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 2*h = 3*o - 15, 5*h - 15 = -3*o. Suppose -3*i - o = -3*n + 13, 13 = 3*n + 2*i. Solve -n*s - 5*j + 10 = 0, -s - 2*s - 2*j + 5 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-48)\/(-40))\/(1\/30). What is the highest common divisor of k and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27 and 18388566?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by 7.\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l. Let p(h) = h**2 - 5*h - 8. Let v be p(6). Let g be (v\/3)\/((-2)\/9). Let o(q) = -q**2 + g*q**2 - 4*q**2. Calculate m(o(u)).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wllbllbwwwbbbb. Give prob of picking 1 w and 3 l.\nAnswer: 16\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-126)\/45)\/((-4)\/10). Let r be ((-77)\/b)\/(2\/(-4)). Suppose 6 + r = 4*h. List the prime factors of h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 - 4*y + 6. Let z be r(6). Let x be z - (4\/(-1))\/2. Suppose -4*h + x = h. Solve -h*m + 15 = m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -32 + 40 + 3*x - 9. Let i be (3 - 9\/6)*4. Suppose 0*w - 30 = i*w. Give d(w).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/c**(10\/3)*c)**27 assuming c is positive.\nAnswer: c**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20009844 to the nearest integer?\nAnswer: 4473","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 90, -0.3, -0.01, 3, 1.3, -6\/7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-112)\/(-1296))\/(2\/(-51)) and -1 - (-5 - -2) - 1435\/294.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 + -1 - 3\/1. Let t(k) = -4*k**3 + 2*k**2 + 2*k + 1. Calculate t(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2159 - 2149. Let b(g) = g**3 + 4*g**2 - 5*g + 1. Let c be b(4). Let a = c + s. Does 23 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 6*b + 8 = 0. Let a(y) = 43*y + 4. Let f be a(b). Let l = -56 - f. Solve 5*c - l = -11 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -18711, -74898, -168557, -299688, -468291, -674366?\n\"Answer: -18736*h**2 + 21*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((15\/(-25))\/(36\/12))\/((-2)\/28)?\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 51901 and 474419.\nAnswer: 731","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (38*1647\/(-222528))\/(((-10)\/6)\/(12\/(-27)))?\nAnswer: -3\/40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, t: 11}. Give prob of sequence utut.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-7)\/(7\/189*-3). Factor 136*n**2 + d*n**2 + 7*n**3 - 2*n**3 - 94*n**2.\nAnswer: 5*n**2*(n + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*3*(sqrt(170) - -1*sqrt(170))*6)\/(-1*sqrt(10)*3 + (sqrt(160) - (2*sqrt(160) + sqrt(160) - sqrt(160)))).\nAnswer: 216*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 192 = 3*n, -2*n + 3*b = 8*b - 103. Suppose n*k + 66689 = 66*k. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 60 = -54 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or 43\/11?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxrxurru. What is prob of sequence xx?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 b, and 1 s when three letters picked without replacement from {b: 2, n: 1, s: 1, x: 1, i: 2, v: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -313 (base 4) in base 6?\nAnswer: -131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32806 is divided by 5439.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2238 + -1818. What is the greatest common divisor of b and 588?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 14*d**5 - 1258*d**4 - 109842*d**3 + 97706*d**2 + 237956*d + 31680 = 0.\nAnswer: -55, -1, -1\/7, 2, 144","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/9 + 0 - (1528\/(-96))\/((-56)\/224).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4282852?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 39\/(0 - (-7)\/((-14)\/(-6)))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -447.1 + 532. Let x = c - 80. Let i = 5 - x. What is the nearest to i in 0, -5, -0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1057487 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1756644 is divided by 292720?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 - -1. Suppose 2*f - 3*f + 3*b + 53 = 0, -225 = -5*f - 5*b. Let q = f + m. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1380465774 to the nearest integer?\nAnswer: 37155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6364759 to the power of 1\/3, to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 392220816 to the power of 1\/6, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*f - 2*f**2 + 5*f**2 + f - 8*f as o*f**2 + x*f + a and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 10:07 PM?\nAnswer: 7:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence meu when three letters picked without replacement from {e: 1, l: 1, u: 5, m: 1, y: 3}.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*r - 40*r + 4*r - 46*r.\nAnswer: -72*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 241 is divided by (-370)\/(-15) - ((-22)\/(-6) - 1)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.93162 + -1.93162092917. Round r to seven decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 289 + -285. Let u = 5 - 0. Let r = 13 + -12. Sort r, u, s.\nAnswer: r, s, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 223495 is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -p**3*s + 1750977*p**3 - p**2*s + 560699*p**2 wrt p?\nAnswer: -6*s + 10505862","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 5, o: 7, f: 3, z: 1}. What is prob of sequence fk?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-13 - -10)*1\/(-1). Suppose x*t - 59 = -53. Solve 0 = -3*k + 3*r + 9, k = -r - t + 7 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 70 = -3*h - 0*z, h + z - 24 = 0. Calculate the common denominator of -22\/7 and 50\/12 - h\/(-39).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of -3*y**2 - 3*y + 2. Differentiate r(m) wrt m.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, 1, 6 in ascending order.\nAnswer: -5, -2, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*h + 57 = -3*j, 136812*j - 136809*j + 2*h + 49 = 0 for j.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 3 - 5 = 3*r, -5*r + 10 = -5*b. Let m(d) = 1 - 3 + 4 + 5*d**2 + r + d**3. Calculate the lowest common multiple of 4 and m(-4).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 - 4*x + 5. Let i = -4 - 0. Let y be f(i). Let n(r) = r - 3. Let a be n(y). Solve -3*s + 4*w = -16, a*s = -3*s + 2*w + 8 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the first derivative of 5*y**6\/2 + 4*y**5 - 5*y**4 - 10*y**3 + 5*y**2\/2 + 10*y + 9. Factor o(d).\nAnswer: 5*(d - 1)*(d + 1)**3*(3*d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 3 + 4*n**2 + 0 - 3*n**2 - 2*n**2. Let d be x(0). Which is the second biggest value? (a) -0.1 (b) 5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(3 + 3*(0 + 1*sqrt(931) - -3*(sqrt(931) + 1)) + 5)*1)**2.\nAnswer: 102816*sqrt(19) + 4836708","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 208*b - 213*b = 3*o - 7, 4*o - 6 = -5*b. Suppose -5*q - 4*r - 6 = -2*q, -4*r - 10 = q. Solve -2*a + 5 = -b*x - x, q*x = -a - 1 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 16*q - 21. Suppose 54 - 537 = 7*h. Let v = 76 + h. Does 7 divide c(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1947, -1943, -1935, -1923, -1907?\n\"Answer: 2*y**2 - 2*y - 1947","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 26*q**2. Let s(x) = -28*x + 12 + 20*x - 10 - 2. Give b(s(h)).\nAnswer: 1664*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3733)\/(-132) - (-10)\/(-15). Let r = -5323 - -58645\/11. Let h = d - r. Calculate the common denominator of -103\/22 and h.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.181 + 0.081. Let u = -3 - -3. What is the nearest to -2 in u, -1\/2, q?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2f - -904?\nAnswer: 8d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 divided by 9279832?\nAnswer: 5\/1159979","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2*l. Let n = -63 + 90. Suppose 0 = -4*q + n + 5. Suppose -2 = 2*a - q. What is d(a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**2 + 4*a**2 - a**2)*(-2 - 1 + 1 + (0 - 3 + 2)*(-7 + 2 + 4)) - 4*a**2 - a**2 + 3*a**2 + (167 + 89*a**2 - 167)*(-2 + 3 + 0) + 0*a**2 - a**2 - 4*a**2.\nAnswer: 81*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 225.3, -2\/5?\nAnswer: 225.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*n - 11*n + 796. Let w = n - -229. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 83 - 72. Let k(x) = x**3 - 11*x**2 - 2*x + 25. Is k(d) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000655342 rounded to six decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = -2*a - 3 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 2 a when four letters picked without replacement from fplallpplafwpgpl.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*h + 64 = -66. Put 3, -5, -1, h in increasing order.\nAnswer: -5, -1, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 186117 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 468 and 374556?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -5, -4, -8, 1 in decreasing order.\nAnswer: 6, 1, -4, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -29.5 - -25.72. Let y = i + -0.82. Which is bigger: -1 or y?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(1 + -3 + 10\/65*15)\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4*(1 + 7954\/(-8)). Suppose c = 3*h + 4*c - 3978, 3*h - x = -4*c. What are the prime factors of h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of 5*p**4\/24 + 2*p**2. Let y(x) be the second derivative of -x**3\/6 - 22*x. Give c(y(r)).\nAnswer: -5*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 + 5 - 4\/2. Suppose -t = d - 4. Solve -d*y + 1 = -a, -y + 2*y + 4*a = -22 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 181807971?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-92 + -6 - -28) + -4 - -36\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**2 + 1068472*l - 2136960.\nAnswer: 4*(l - 2)*(l + 267120)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -652, -1182, -1702, -2206, -2688?\n\"Answer: t**3 - t**2 - 534*t - 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65)\/sqrt(5) + 4 + sqrt(13) + (1*sqrt(52) - sqrt(13)))**2.\nAnswer: 24*sqrt(13) + 133","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*f + 13*f - 2*b - 14 = 0, -72*b = 3*f - 67*b + 33 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -s, -38*l + 42*l - 4*s - 8 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -774610 rounded to the nearest ten thousand?\nAnswer: -770000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (-3 - 6) + -80 - (0 + (0 - 2))?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3502657000 rounded to the nearest one million?\nAnswer: -3503000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 566 = -559*n - 18999 for n.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*i - 5*i - 5*i + 20*i.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 2:24 PM?\nAnswer: 9:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22576330?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136*r - 5424108 = -5416900 for r.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -11011021202 (base 3) to base 10\nAnswer: -81857","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28 + 54 - 28) + 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*(-245)\/112*732\/3355*-44?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 17149 (b) 184 (c) -47\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 16 = 2*t, -3*q = 4*t + 820 - 810. Solve 5*x - 25 = -5*b, -q*x + b = -b - 6 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(1584)*2*-3 + -3)**2.\nAnswer: 576*sqrt(11) + 57040","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2727 + 2727.1. Which is the second biggest value? (a) -14 (b) s (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 PM and 3:14 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(1377)*-5.\nAnswer: -45*sqrt(17) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6.85 - 6.76. Which is smaller: -0.15 or k?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*l + 24*l - 2*r = 38, -l - 3*r - 2 = 0. Solve -l*o + 3*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/((-12)\/(-10)))\/(4\/12).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/86801 and -6\/19667.\nAnswer: 1707115267","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 540*p - 11491. Determine n(23).\nAnswer: 929","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-39)\/(-6) + (-3)\/2. Suppose l*u - 144 = 2*u. Does 19 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 56*y**2 - 17*y + 48. Give r(4).\nAnswer: 876","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m + 5*m + 2*q + 26 = 0, 2*q + 10 = -m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 213.180967 rounded to two decimal places?\nAnswer: 213.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9600147\/290978 - 5625\/1993. Let x = q - 50\/73. What is the common denominator of x and -95\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3 + 41*i**2\/6 + 13*i + 20\/3.\nAnswer: (i + 2)*(i + 4)*(6*i + 5)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5345406.241 - -5844.241. Let l = y - -5339562.03899967. Let f = l - 0.039. What is f rounded to seven dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -623*g**3 + 651*g**3 - g - 29*g as i*g**3 + d*g**2 + t + w*g and give i.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 2*r - 2. Let h(j) = 2*j**3 + 98*j**2 + 200*j + 84. Let m(v) = h(v) - 5*n(v). Find t such that m(t) = 0.\nAnswer: -47, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, n: 1, j: 2, e: 2, v: 6}. Give prob of picking 1 n and 1 j.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 199658 to the power of 1\/3, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 16455.2525743 from -226.\nAnswer: -16681.2525743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, s: 1, j: 3, o: 7, u: 4}. What is prob of sequence jjs?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.09, -3\/101, -0.2, 0.1, -0.3, 0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f + 0*f = 24. Which is the third smallest value? (a) 2 (b) 4 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -33*z**2 + 8*z**3 + 2*z**3 + 36*z**2 + (-1 + 7 - 4)*(5*z**3 - 5*z**3 + 2*z**3) + z**3 + z**3 - 4*z**3 to c*z**3 + j + k*z**2 + b*z and give c.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 - 40*t**2 + 339*t - 68. Let n be l(28). Let s be (-4)\/14 - (-804)\/21. Let x = s - n. Calculate the greatest common factor of 176 and x.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + (-1 - (-8 + 20)) - -13?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 + 3*p**2 - 6*p - 3. Let k be s(-5). Sort -4, -1, 4, k.\nAnswer: k, -4, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7367334445.91 + -1.04.\nAnswer: -7367334446.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1520 by -76.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2429 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n = 52 + 11. Sort n, -1\/3, -5.\nAnswer: -5, -1\/3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 47\/4 of a hour?\nAnswer: 42300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 58679907?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8204?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 - 10*l**2 - 12*l + 6. Let i(p) = -36*p - 837. Let x be i(-23). Give s(x).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*m + m**2 + 3*m + 5*m**2 - m**2 - 3*m**2 + (0*m**2 + 29*m**2 + 6*m**2)*(-1 + 1 - 4) to the form i*m**2 + w + v*m and give i.\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 12, m: 2, o: 3}. Give prob of picking 2 o.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*i - 6*i**2 - 5*i - 8*i**2.\nAnswer: -14*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -300 (base 8) to base 10.\nAnswer: -192","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + (2 - (-5 + 2)). Let b(o) = -o**2 + 8*o + 1. Let f be b(m). Let u(q) = 2*q**2 + 5*q + 8. Let z(d) = -d**2 - 2*d - 3. What is f*z(h) + 3*u(h)?\nAnswer: -2*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 divided by 3711?\nAnswer: 108\/1237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7986 and 3630?\nAnswer: 726","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -74 + 84. Suppose -4*g = -w - 2. Solve z**g + 0*z - 1\/3*z**5 - 2\/3*z**2 + 0 + 0*z**4 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the third derivative of -z**7\/5040 + z**6\/72 - z**5\/30 - 2*z**2. Let j(w) be the third derivative of n(w). List the prime factors of j(0).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 26\/1*(-327)\/(-218). Solve 0 = 46*l - 59*l - g for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*x**3 + 27*x**3 - 55*x**3 + 457 - 457.\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 323?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2546723418?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 - 142445*w + 427326. Give a(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6525*z - 6 + 35 = h + 6528*z, -5*z = -29*h + 26*h - 67 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 193170948?\nAnswer: 2, 3, 19, 569, 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11358791 or -124946706\/11?\nAnswer: -124946706\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 402*u - 14519 = -30*u + 1465 for u.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, n: 5, v: 3, y: 1}. What is prob of sequence nq?\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 86578138 to the nearest integer?\nAnswer: 9305","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 2 = -3*t + 23, 0 = 2*t - 4*r + 16 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 104*j = 4*q + 1764, -1253*q = -1248*q - 5*j - 55 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2e2 + -3bf?\nAnswer: -dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -25 - -22. Let j = -25 + 25.5. Let l = -0.2 + j. What is the smallest value in 1\/6, l, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 6*c + 30. Let j be p(14). Suppose -6*v + 432 = j. Is 2 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -4*b - 2056, 5*b - 12504 - 5836 = -9*h. Does 15 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12414106 is divided by 1379344.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 AM and 2:16 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2633 - 331. List the prime factors of j.\nAnswer: 2, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67 is divided by 25.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 4*a + 2600 = 0, 5*l + 2*a = 3*a + 3220. Suppose 0 = l*c - 646*c + 92. What is the remainder when c is divided by 38?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.8 - 0.2. Which is the smallest value? (a) f (b) -1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -7*z + 168. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -2, 21256?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 3*r + 1. Let c(j) be the first derivative of 8\/3*j**3 - 2*j + 1 + 3*j**2. Let a(q) be the first derivative of c(q). Determine -4*a(u) + 22*p(u).\nAnswer: 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, e: 7, d: 1, g: 3}. What is prob of picking 1 d and 2 e?\nAnswer: 21\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-133)\/(10108\/(-608)) - (208\/(-7))\/(-4)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0010497 to 5 dps.\nAnswer: -0.00105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 5 - 8*y**3 - 16*y**2 + 15*y**3 + 4*y + 13*y**2 - 5*y**3 - y**3. Let m(v) = 3*v - 4. Let g be m(3). What is the units digit of o(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -5 + (0 - -5 - 6 - -9).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2356*y + 2337*y + 2417*y - 6896*y in the form b + m*y and give m.\nAnswer: 214","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/2)\/((-92)\/(-368)). Factor 1\/6*a**o - 1\/6*a**3 - 2 + 4\/3*a.\nAnswer: -(a - 2)**2*(a + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1169 a factor of 1742979?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 37686 and 264.\nAnswer: 150744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 1719 divide 104850405?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 10010111111 (base 2) in base 16?\nAnswer: 4bf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 6622 (base 9) to base 14\nAnswer: 1ac8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 12\/72 + (-61)\/15 and 145\/48.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1874?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 193437?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 10 = 50. Let c = -9415 + 9555. Calculate the highest common divisor of c and x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 41, 271, 885, 2075, 4033, 6951, 11021, 16435?\nAnswer: 23385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.137 * -0.5.\nAnswer: -0.0685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + t + 2)*(0 + 0 - 4) + 2 + 0 - 4 + 2*t)*(-3 - 3 - 2).\nAnswer: 16*t + 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11*c**2*f - 115*c**2 + 31*c*f - 5*c + 3*f wrt c.\nAnswer: -22*f - 230","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 4 = -d - 6*y, -2*d = -4*y - 40. Find the third derivative of 3*u**2 - 2*u**2 - 9*u**4 + u**3 + 10 - 3*u**3 - d wrt u.\nAnswer: -216*u - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3248891581.\nAnswer: 13, 59, 743, 5701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 10622301797 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -64\/231 - -2\/21. Let x = -178.3 + 158. Let s = -20.1 - x. What is the closest to s in 1\/2, 0.3, o?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2. Let x(c) = -52*c. Give x(r(z)).\nAnswer: -52*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -21 and 2046.48?\nAnswer: -42976.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3910 + -129043\/33. Calculate the common denominator of 904\/(-18)*(2 + 4 + (-5270)\/880) and n.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuusss. What is prob of picking 3 u?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a meter in millimeters?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 243*z - 194*z = 343 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3493342\/20425 - 4276\/25. Let j = -79309\/8170 - v. Calculate the common denominator of j and 28\/(-10) + 2 - 1417\/(-260).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1229439?\nAnswer: 3, 409813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6305 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.26, -7, 11196?\nAnswer: 11196","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1374282 divided by 32721\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 + (-1 - 27 - ((29 - -8) + -52)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-1\/2))**37*r**(-1\/2)*r*r\/r**(3\/2)*(((r**(-5)\/r*r)\/r)\/r**(-4))**(-28) assuming r is positive.\nAnswer: r**(149\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by 139.\nAnswer: -7\/139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 465775?\nAnswer: 5, 31, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 204694 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 58974\/1 + (-360)\/(-15) + -11. What is the greatest common divisor of 61 and t?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + 1. Suppose -3*f - 2 = -q, -q - 4*f + a = -0. Solve -5 + 15 = -q*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 AM and 11:22 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*n + 12 = 12*n. Let v(c) = 5*c**2 + 11. Is v(n) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 - 13*m**2 + 13*m - 6. Let j be n(12). Let b(v) = v**2 - 3*v. Let w be b(4). Is j\/(-4) + 2\/w - -1736 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 3*n**3 - n**2 + n + 2. Suppose 0 = -314*c + 311*c - 3. Let x(o) = 3*o**3 + 3*o**2 + o - 1. Let s be x(c). Determine y(s).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 12:07 AM?\nAnswer: 4:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50 - 20 = 5*k for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*z + 3 = -19. Let t = -95 - -89.7. Let o = -5.2 - t. Which is the nearest to o? (a) z (b) 9\/5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 5*m + 33, s + 3*m = 2*m - 3. What is the hundreds digit of 23738\/52 - (-1)\/s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b - 8. Let u be y(-11). Solve 3*n + 3*h = 0, -16 = u*n - 7*h + 2*h for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d, s + 5*d - 80 = 3*d. Suppose -65 = -5*o - 5*i, -4*o + 2*i - s = -9*o. What is the common denominator of o*9\/(-8) - 2 and 101\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 6534, 4479, 2422, 363?\n\"Answer: -i**2 - 2052*i + 8587","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -588 - -611. Suppose -g*r + 39*r - 16 = 0. Suppose 0 = -4*p + 16, 2*z = -z + 2*p - 11. Sort -7, r, z in ascending order.\nAnswer: -7, z, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gggkgggkkgkvvggkgkg. Give prob of picking 1 v, 2 g, and 1 k.\nAnswer: 55\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k + 0*k - k)*(10 - 10 - 8*k**4) + (-k**5 + 0*k**5 - 6*k**5)*(1 + 5 - 2) - 4*k**5 - 4*k**5 + 6*k**5.\nAnswer: -38*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -24315834, -48631668, -72947502?\n\"Answer: -24315834*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a centimeter in micrometers?\nAnswer: 32500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v**2 + v**2 + 0*v**2)*(71*v**3 + 53*v**3 + 251*v**3) + (5*v - 3*v - 3*v)*(-1 - v**4 + 1).\nAnswer: 376*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -33445*u + 39 - u**3 + 33526*u + 177 wrt u?\nAnswer: -3*u**2 + 81","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 157*u - 164*u - 119. Let y(k) = 2*k**2 + 32*k - 37. Let n be y(u). Let q(v) = -31 + 31 + 8*v. Determine q(n).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z. Let n be y(-3). Let q be 31 - (-3 + (2 - -2)). Suppose -27*i = -q*i + 15. Sort n, -5, i in ascending order.\nAnswer: -5, n, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 148762877?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4762 to the power of 1\/2, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -221 + 170*u + 165*u - 330*u to y + w*u and give y.\nAnswer: -221","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4363 + -4363.54. Is 2\/5 at least k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h - 3*m - 3, 2*h + 0*h - 10 = 2*m. Suppose h*r = 5*r - 6870. What is r rounded to the nearest 100?\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i = -i - 5. Let v be 2\/(-6) + i\/3. Suppose 6*z - 3*z - 12 = v. Calculate the remainder when 6 is divided by z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q\/(q**10\/q))\/q)\/q**(-4))**(1\/4) assuming q is positive.\nAnswer: 1\/q","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = x + x. Let t be x\/70 - 26\/7. Let d be (4 - 1) + (-6)\/1. Which is smaller: t or d?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 3*r. Let m(o) be the first derivative of -o**4\/4 - o**3 + 11*o**2\/2 + 11*o - 2. Let u be m(-5). Let h(t) = u*t + 165 - 165. What is j(h(g))?\nAnswer: 18*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 31 and 14477.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-393 - 589 + 306)*(-u**3 + u - u).\nAnswer: 676*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**2 + 42803541*f - 85607094.\nAnswer: 3*(f - 2)*(f + 14267849)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.6 - 3.4. Which is the smallest value? (a) -14 (b) 0.4 (c) y (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5852 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: Is 278199049 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 - 6*b**2 + 17*b + 17. Calculate s(-8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -165198 - 5*t**3 + 330414 - 165208 + t**3.\nAnswer: -4*t**3 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/5*u**3 - 96\/5*u + 52\/5*u**2 + 0.\nAnswer: -2*u*(u - 24)*(u - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 562*h**2 + 22*h + 12. Give k(-1).\nAnswer: 552","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 3 - 2 + (-3 + 0 + 1)*(-2 - 7 + 1))*(3*j + 3*j - 4*j)*(j**2 - 3*j**2 + 8*j**2) to the form u*j**3 + s*j**2 + b*j + x and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*k - 10 = 2*c - 3*k, -4*k = 5*c + 25 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 30 + -30.1. Suppose -11 = -2*q - y, -3*y + 16 + 5 = 3*q. What is the nearest to x in 0, q, 13, -4\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, -1\/342.\nAnswer: -1\/342, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -14*h + 17 + 2*h - 2*h**3 + 33*h + 3*h**3 - 8*h**2. Does 4 divide a(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 216*p - 135*p - 1543 = 130*p + 858 for p.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 32 = -3*i. Let a = -1 - 4. Let c = a - i. Does 5 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cjgcjca. Give prob of sequence jcgc.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a meter in centimeters?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 359, 355, 351, 347, 343, 339?\nAnswer: 335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 PM and 2:47 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (26\/(-520)*-10)\/(1*-1).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 2*w - 3 = -17, -3*d = -w - 8. Let t = d + -12. Let i = -6 - t. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(350)\/sqrt(7) - (sqrt(80)\/sqrt(5))\/sqrt(8).\nAnswer: 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 81 and 34.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.3, 0.1, -166, 887?\nAnswer: -166","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 956793 + 956476 - 1913269 + n + 0*n + n.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46936 divided by 7.\nAnswer: 46936\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 - 7*o + 2. Let h be q(-7). Let r(f) = 2*f**2 - 2 - 3*f + 6*f - 3*f**h. Suppose -2*m - 5*z + 14 + 14 = 0, -3*m + 4 = -2*z. Give r(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t - 10 + 28 = 0. Solve -t*g = 2*y - 2, 16 = 2*g - 2*y + 6 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -3*z + 2. Let h be k(3). Let g = h + 9. Find the third derivative of t**2 - 2*t + g*t + t**2 + 2*t**3 wrt t.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(45) - sqrt(90)\/sqrt(2)) + 3 + sqrt(180) - ((3 + 0 + sqrt(5))*5 + 0))**2.\nAnswer: -24*sqrt(5) + 149","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4089*o + 7861 = -3202 - 16760 - 25334 for o.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29076401 is divided by 98?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0.32, 0.3, -1\/4, -94, 5\/2 in descending order.\nAnswer: 5, 5\/2, 0.32, 0.3, -1\/4, -94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -34, -74, -166, -334, -602?\n\"Answer: -4*d**3 - 2*d**2 - 6*d - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (315*t + 19864 - 19864)*(-3*t**4 - 6*t**4 + 2*t**4) + (-t + 0*t + 2*t)*(t**4 + 2*t**4 - 4*t**4).\nAnswer: -2206*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -2*c**2 - 5*c + 32. Let v be o(-5). Let h(p) = 2*p**3 - 11*p**2 - 13*p + 6. What is the least common multiple of h(v) and (2\/3*3)\/1?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 2*g**3 - g**2 + g. Let l(y) = -5*y**3 + 14*y**2 - 28*y - 3. Let p(t) = l(t) + 2*u(t). Let j be p(9). Solve 3*q = -j - 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -3*u - 2*m + 2, u = m + 6. Let j be 2\/u - 138\/(-24). Let h = j + 4. Does 4 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 8 - -6 - 3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 + b**2 - 1 + b**2 + 1 + (-8*b + 35 - 35)*(-1 + 1 - 3*b).\nAnswer: 26*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 48*o**5 + 2114 - 2114 + (-2*o**4 + 36*o**3 - 36*o**3)*(-2*o + 2*o + 2*o).\nAnswer: 44*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 110852915.\nAnswer: 5, 22170583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 192339457*m**2*v**5 - 21521*m**2*v - 159*m**2 - 6*m wrt v?\nAnswer: 3846789140*m**2*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -33 + 32. Let u = 3 - 5. Let o = u + 3. Which is the nearest to t? (a) -4 (b) -2 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 18 = -0*k. Calculate the remainder when 25 is divided by k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-171)\/(-6))\/(-19)*2. What is the biggest value in 8, c, -1, -0.4?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 8:47 AM?\nAnswer: 5:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 299448866 to the nearest integer?\nAnswer: 17305","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -2*f**2 + 3*f + 76. What is the lowest common multiple of p(-5) and 597?\nAnswer: 6567","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 + 8*t**2 - 9*t + 5. Let i be y(7). Let s = i - -24. What is the greatest common divisor of s and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggglgjgjlag. Give prob of sequence gg.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of 4\/3*o**3 - 134*o**2 + 1\/120*o**6 + 1\/24*o**4 + 1\/10*o**5 + 0*o + 0. What is c(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 35 - 14. What is the highest common divisor of 189 and r?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 306 is divided by ((-33)\/(-1) - -18)*3*1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50458.\nAnswer: 2, 25229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 4407?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 395756?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5942419 divided by -161.\nAnswer: 848917\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -479*u + 2747*u + 196*u - 1075*u as f + r*u and give r.\nAnswer: 1389","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (70 - 70 - 106*l)*(-l**2 + 3 - 3) + 14*l**2 - 28*l**3 - 14*l**2.\nAnswer: 78*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 28*n**5 - 6*n**4 + 38707*n**3 - 72953631*n**2 wrt n.\nAnswer: 1680*n**2 - 144*n + 232242","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99184876 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 + 349*s + 1373. Give d(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 11:11 PM?\nAnswer: 9:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.4 or -12\/25?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 845.0354 weeks to days.\nAnswer: 5915.2478","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffnz when four letters picked without replacement from cfnbrfnfbbz?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2256039610 to the power of 1\/3, to the nearest integer?\nAnswer: 1312","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*i**3*u**3 + i**3*u + 25*i**2*u**3 - 536*i*u**3 - 43338*i*u**2 wrt u?\nAnswer: -12*i**3 + 150*i**2 - 3216*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 479 and -1.0198?\nAnswer: -488.4842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 5*y**3 - 30*y**2 + 25*y + 60 = 0.\nAnswer: -1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2 + 10*r - 2. Let o be q(9). Let b(s) = -8 + 45*s**2 - o + 30*s - 39*s**2. Let y(z) = -z**2 - z - 1. Let a(f) = -b(f) + 3*y(f). Factor a(x).\nAnswer: -3*(x + 4)*(3*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17320 = 3*g - s, -4*g - 3*s = 9121 - 32210. What is the tens digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 46, -153, -484, -947, -1542?\n\"Answer: -66*d**2 - d + 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 111735 and 585.\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.04 - -0.05. Let b be -4 + (-69)\/(-9) + -4. Is b >= k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*b**2*m*r**2*v**2 - 3*b**2*m - 2*b**2*r**2*v**2 - m*r*v - 5*m*v**2 - v wrt r?\nAnswer: -18*b**2*m*v**2 - 4*b**2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5936 and 442374464?\nAnswer: 5936","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -k**2\/3 + 10167860*k\/3 - 25846344244900\/3 = 0.\nAnswer: 5083930","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 44 and 19360?\nAnswer: 19360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42 + -4 + -67 + 174.\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3277*d*j - j - 7 wrt d?\nAnswer: 3277*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 6. Let x = 168537\/2 + -84270. What is the third biggest value in -2\/7, q, 2\/5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.23560697 to 4 decimal places.\nAnswer: -0.2356","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 11*j + 6 - 3*j**2 + 2 + j**3 + 12*j**2. Is 11 a factor of u(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58904?\nAnswer: 2, 37, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19 + -12. Is n a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 6*k = -24. Let j(r) = -r**3 - 21*r**2 - 20*r + 5. Let i be j(-20). Differentiate -i*w + 2*w + k - 14 wrt w.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190)\/(sqrt(10) - -2*sqrt(10) - sqrt(10)) - (-5 + sqrt(19)*-4))**2.\nAnswer: 45*sqrt(19) + 1639\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 80221.26 micrometers?\nAnswer: 80221260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + -7. Let x be (-4)\/w - 33\/(-3). Solve -3 = -4*n + 7*n - 3*z, -z - x = 3*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or -423\/644?\nAnswer: -423\/644","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/6*(-60)\/80.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -g**2\/4 - 1169735*g\/2 + 2339471\/4 = 0?\nAnswer: -2339471, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -925*v + 299 + 309 = -849*v for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2257.\nAnswer: 37, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 7:33 PM?\nAnswer: 8:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 2:41 PM?\nAnswer: 1:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 2*h + 131 = 2*z, -2*h = 2*z - 94. Suppose -3*c + 78 = -4*l, 2*l + 3*l - z = -c. Is 8 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5154481?\nAnswer: 907, 5683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (26\/((-962)\/(-111)))\/((-3)\/6).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4 + 1 - -4) + (-19)\/17. What is the closest to b in -4\/7, 4\/5, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 9\/10 of a centimeter?\nAnswer: 9000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15 + 9. Let h = 13 + p. Let s = -19.7 - -19.2. What is the second biggest value in s, h, -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5, 0, -5, 38 in increasing order.\nAnswer: -5, -3, 0, 5, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3a (base 15) in base 5?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2097115 divided by -419423\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1516\/7*l + 2\/7*l**2 + 287282\/7.\nAnswer: 2*(l + 379)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, -54, -17, 0.1, 2\/3, -3\/2 in decreasing order.\nAnswer: 2\/3, 0.1, -1\/6, -3\/2, -17, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 + 101*s + 283*s + 162*s - 28.\nAnswer: 546*s - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -1118525*i + 7829683. What is y(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 10 = -7. Put -0.1, -0.02, h in decreasing order.\nAnswer: h, -0.02, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 2*d**2 + 7*d + 14. Let r be y(-10). Suppose -15 = -3*a, 4*t + 0*t + 4*a - r = 0. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*(b**(-1)*b)\/b*b)**4 assuming b is positive.\nAnswer: b**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 236 + -132. Is f a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6 + 44300?\nAnswer: 442e9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 41 + 64. Let d be 465\/r - 2\/7. Suppose 4*z - 13 - d = 2*w, -5*z = -4*w - 40. Solve -3*v = 2*m - 11, -m + z*v - 10 = 1 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/48 and -19\/40?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 2218797?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 441 divided by 4?\nAnswer: 441\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b**2 + 1912*b + 275082 = 0 for b.\nAnswer: -127, 1083","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + h + 3, 2*h + 51 = 2*q + 33. What is the closest to 36 in q, 2\/3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 329370?\nAnswer: 2, 3, 5, 10979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28919 and 847.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7993490 to the nearest integer?\nAnswer: 2827","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*j = -40*j. Let y be 2 - -2 - 2 - 0. Suppose 4*f = y*f. Solve 2*g + f*g = j for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10097 divided by 119\nAnswer: 10097\/119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 27\/6*((0 - -2) + 0). Suppose 0 = -o*i - i + 5279940. Suppose u = n + 4*n - 659997, -2*u = -4*n + i. Round n to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 108.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -512\/9 + 194\/9. Let r = i - -63\/2. Find the common denominator of -1 + 9*(-1)\/10 and r.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 i when two letters picked without replacement from iulisiisuoliiijsi?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((101 - 8) + 10)*(2 - 1) is divided by 17?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 12, 64, 152, 276, 436, 632, 864?\n\"Answer: 18*v**2 - 2*v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -23*s**2 - 824*s. Let i(c) = -63*c**2 - 2473*c. What is -11*h(y) + 4*i(y)?\nAnswer: y**2 - 828*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18 - -23. Let p(u) = -k*u - 38 + 0*u**2 + 2*u**2 - 6*u + 26. Is p(9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 188740\/27 - 6990. What is the common denominator of 59\/762 and s?\nAnswer: 6858","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20796 divided by -6?\nAnswer: 3466","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in -3\/8, -32\/3, -0.4?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - y + 55 = 67, -4*y - 3 = -q. What is the fifth biggest value in 0.2, -4, -2\/9, 4, q?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 5, z: 7, n: 3, t: 1, u: 2}. What is prob of sequence znh?\nAnswer: 35\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 PM and 6:10 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1533030 is divided by 75?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(-14))\/j)**(-4)*j**(1\/6)\/j**(-5) assuming j is positive.\nAnswer: j**(367\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1645?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, v: 5, h: 6}. What is prob of sequence vm?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 13, 3, -900840?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 + 4*v - 32. Let o be i(-8). Suppose -g - 2*s - 24 = -3*g, s - 5 = o. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.45 * 585.\nAnswer: 263.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -3.129134+0.15989\nAnswer: -2.969244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4730 and 8?\nAnswer: 18920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - 3 - (9 - 3 - 1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((4 + 1*(sqrt(252)*-1 + -5)*4)*5)**2*5.\nAnswer: -536000 - 96000*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 + 64*f**2 + 63*f + 131. Let r be v(65). Suppose -r + 4\/3*q**2 + 11\/3*q = 0. What is q?\nAnswer: -3, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*4*sqrt(720)*4*-1 - (sqrt(720)*1*-4 - sqrt(720) - (sqrt(720) + -5 + -2))**2.\nAnswer: -25969 + 816*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -1 (c) -0.006597\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -7 + 3 - 6 - 0?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13222?\nAnswer: 2, 11, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19878331 is divided by 6626110.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 560395?\nAnswer: 5, 11, 23, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31012220 (base 7) to base 12.\nAnswer: -a4b845","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 + -6.8. Let i(n) = -n**2 - 5*n - 3. Let f be i(-5). Let r be (4 - (0 - f))*-1. Which is the closest to r? (a) -2 (b) -1\/3 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-20)\/(-30))\/(2\/(-3)). Suppose -r = -5 + 10. Suppose 3*m - 12 = 0, -2*a + 0*a + 4*m - 8 = 0. Sort r, s, a in decreasing order.\nAnswer: a, s, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 491*s**2 + 14*s + 13. Let f be -2*(-4 + 5) + 1. What is the tens digit of q(f)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 130 + -129. Let q(o) be the first derivative of 1\/14*o**4 + 3\/7*o**2 + 2\/7*o + 2\/7*o**3 - r. Solve q(k) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100611 divided by 7\nAnswer: 14373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -25*h + 22*h - 2*f + 14, 0 = -3*h + 7*f + 32. What is the remainder when h is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - (4 - (8 + 9)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*a**3*p**3*u**2 + 120*a**3*p*u**2 - 94*a**2*p**2*u**2 + 2*a*p**3 + 2*a*p**2*u**2 wrt a?\nAnswer: 18*p**3*u**2 + 720*p*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9034 rounded to the nearest 1000?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from tbeoeeaaeaaag?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000 - 1000010100111110?\nAnswer: -1000010101000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 2*w = 2*w, 5*w = 0. Suppose t = 6*s - 2*s - 16. Solve -4*p = 3*x + 1, -2*p = -s*x - 4*p - 8 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 - 16*b**2 + 6*b + 80. Calculate x(-6).\nAnswer: -316","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1970 and 60.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.04418391 to four dps.\nAnswer: -0.0442","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -145399953.9 rounded to the nearest one million?\nAnswer: -145000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4847, -12693, -20537, -28379?\nAnswer: -36219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30 and 3090.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1b969a8 + -b?\nAnswer: -1b969b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p - 48 = -10*p. Suppose -i - 26 = -62*b + 58*b, i = 3*b - 20. Calculate the highest common factor of b and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -51*i + 2 + 44*i + 2 + 6*i**2 + i**3. What are the prime factors of s(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 n when two letters picked without replacement from kanvvkvyak.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.01 + -0.11. What is the second smallest value in 1, -0.4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1964016?\nAnswer: 2, 3, 23, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, -28, -25 in ascending order.\nAnswer: -28, -25, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -93, -199, -305, -411, -517, -623?\nAnswer: -729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-6)*4\/8 - -1. Determine r so that -2\/3*r + 0 - f*r**3 - 4\/3*r**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1934 + -1769. Calculate the greatest common divisor of n and 240.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 j when three letters picked without replacement from {r: 2, d: 1, j: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34759 is divided by 1448?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.32 - -393\nAnswer: 392.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-5 - (0 + -2))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 0*w = 3*t - 6, -4*w = -12. Let p(h) = 7*h - 3. What is the remainder when p(2) is divided by t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 1 + 0)*(0*z + z + z) - 13*z - 2*z + 0*z.\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 68\/(-276) - (0 - 1). Let t = -2\/23 + f. Factor 2\/3*q**4 + 2\/9*q**2 - t*q**3 - 2\/9*q**5 + 0*q + 0.\nAnswer: -2*q**2*(q - 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2659*n + 2665*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**4\/2 + 27*b**3 - 432*b**2 + 1728*b.\nAnswer: -b*(b - 24)**2*(b - 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 437295 is divided by 27329.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 696 = -2*s - 715, 0 = u - 3*s - 20 for u.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/102 - ((-869405)\/(-15334) + -58)?\nAnswer: 14\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 140485650 a multiple of 94?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/3 (b) -2\/9 (c) 0.3 (d) 6\/25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-3))**(-1\/70)\/((g**(2\/11)\/g)\/((g*g**13\/g)\/g*g)) assuming g is positive.\nAnswer: g**(10673\/770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence je when two letters picked without replacement from {e: 4, j: 2}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/14 - ((-1524)\/210 - -7). Sort 0.3, -4, -0.3, z in descending order.\nAnswer: z, 0.3, -0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -4*f - f + 85, 10 = -2*a. Let p(g) = -g**3 + 7*g**2 - 9*g + 6. Let n be p(6). Let u be (n\/(-10))\/((-15)\/(-50)). Solve f = -0*v + u*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -229 + 281. Does 44 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -305 + 310. Suppose 17 = 5*i + 4*x, -2*x - 13 = -i + 2*x. Solve -i = 4*o + 3*r + 2, 5*o + u*r = -5 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and 1544140?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -98 - -293. List the prime factors of u.\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 148\/19 (b) 8 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - -5. Suppose 4*a - 1 = m - 18, -2*a - 51 = -3*m. Suppose i = 4*c - 7 - m. What is the lowest common multiple of c and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 2*w + 3 + (564*w - 64*w + 585*w)*(-2 - 2 + 2) to the form p*w + j and give p.\nAnswer: -2172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7830 at most as big as 7812?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f - 1. Let s(p) = p - 15. Suppose 2*k + 5*z - 30 = 0, -145*k + 6 = -147*k + 4*z. Calculate k*i(t) - s(t).\nAnswer: 4*t + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the first derivative of -7*m**6\/120 - m**5\/4 + m**2 - 19. Let s(l) be the second derivative of o(l). Find the third derivative of s(n) wrt n.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1490\/8*8\/(-20)*-2?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 152577821?\nAnswer: 11, 83, 167117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 14) to base 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 79 * -99.7.\nAnswer: -7876.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119*p + 1045 = 337 - 482 for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d = 2*d + 30. Let h = 121 - 119. Which is greater: d or h?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/8, -25.4, 0.3, -3\/4, 1\/4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 441, 443, 445, 447?\n\"Answer: 2*u + 439","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2146795196346 less than -1.27?\nAnswer: -2146795196347.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 z, and 1 b when three letters picked without replacement from zzzyqyygyyqqqymqb?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1045 = -52*v - 17*v + 2977. Suppose 2*u = q + 2 - 16, 5*q - 45 = 5*u. Suppose -193 = -q*s - 49. Solve 4*i = -3*f + v, -f + s = 4*i + 4*f for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 - 3*d**2 - d - 4. Let t(l) = -l + 1. Let o be t(4). Give p(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 2*s + 174, -3*s + x = 6*x + 294. Let y = -63 - s. Suppose r - 4*r + y = 0. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of (-3)\/4 - (105105\/(-4))\/35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1032*v + 7637 + 27138 = 993*v - 92800 for v.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 21887 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*q*q**27*q)\/(q*q**(-9\/8)*q*q))\/((q*q*(q*q**26*q*q)\/q)\/(q\/q**10)) assuming q is positive.\nAnswer: q**(-79\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3 - 19979*r**2 - 19978*r.\nAnswer: -r*(r + 1)*(r + 19978)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 653, 1176, 1699?\n\"Answer: 523*n + 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 226\/1*-2*2\/(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 PM and 12:44 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -158726 rounded to the nearest one thousand?\nAnswer: -159000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k - 2*j + 1080, -2*j - 107 - 109 = -k. Suppose 0 = w - 0*w + 4*s - 78, k = 3*w + 3*s. Does 10 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/42324 and 121\/126972?\nAnswer: 126972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 r when three letters picked without replacement from grxyxrxgxxxxggxe?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -l**5 - 5*l**4 - 34498*l**3 - 49869*l**2 + 1311 wrt l?\nAnswer: -60*l**2 - 120*l - 206988","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*m + 95056 + 161544 = 0. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -2*b - 6*r + 496, b = 4*r + 242. Let o = -242 + b. Suppose 19 = -y + 5*i, 4*y + 5*i - 23 = y. Put -4, o, y, 5 in decreasing order.\nAnswer: 5, o, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 16*f**3 - f. Let l = -9 - -24. Let q be (-350)\/l - 1\/(-3). Let p = q - -22. Calculate g(p).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -9*f**3 - 3*f**2 + 3*f + 4. What is u(-2)?\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/6 and -67\/78?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 120168955 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 747.\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10386121?\nAnswer: 1867, 5563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -t + 5*t**4 - 9*t**4 + 5*t + 2*t**2 to the form b*t**4 + v*t**3 + h*t + f + i*t**2 and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 - 35 = -13*c. Let q(t) be the third derivative of t**5\/20 + 10*t**3\/3 - t**2. What is the units digit of q(c)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.068 + 3.832. Let a = 7.9 - j. Let n be -1 - 1 - (-5 - 2). What is the nearest to 0 in a, -1\/5, n?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + d + 2*b + 12 = 0, -d - 2 = b. List the prime factors of 2 + (57 - (d + 3)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 27, -8, -5, 33 in ascending order.\nAnswer: -8, -5, 27, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*d + 3*d - 3*d)*(2*d - 3*d + 0*d + (-3*d + 7*d - 2*d)*(-3 + 1 + 3) - 2 + 2 + 2*d + 34 - 39 - 13*d + 30) to q + v*d + m*d**2 and give m.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 175490 a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 175 + -49. Does 42 divide (-1280)\/(-120)*(g\/4 - 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18491, -18503, -18515, -18527?\nAnswer: -18539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*g = s - 9*g - 30, 2 = -2*g. Does 3 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 9469, 9481, 9493, 9505, 9517, 9529?\n\"Answer: 12*n + 9457","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25753?\nAnswer: 7, 13, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -44*-0.5\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 124?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -390 - 87*x**3 + 50*x**3 - 14 + 20*x**2 - 38 + 52*x**3 wrt x.\nAnswer: 45*x**2 + 40*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*u + 205*u = 390 - 1278 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 3*z**3 - 5*z**2 - 508. Let i(y) = 13*y**3 - 23*y**2 + 2*y - 2032. Determine -2*i(p) + 9*x(p).\nAnswer: p**3 + p**2 - 4*p - 508","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: c96036 (base 13) to base 8\nAnswer: 22016040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4891 or 4849?\nAnswer: 4891","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + -6. Let g be 3\/(u\/(-4)) - 0. Let x = -3 - -5. What is the greatest common factor of g and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 487*m = -16*m + 44856 for m.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 PM and 7:36 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13132 + -212332?\nAnswer: -232130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 c when three letters picked without replacement from {j: 1, k: 5, t: 1, l: 2, c: 3}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 35.74 less than -4?\nAnswer: -39.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a hour in minutes?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25)\/(((-639)\/(-2982))\/((-18)\/35)).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -4673*v + 43. Is a(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -96*s**3 + 406*s**2?\nAnswer: -576","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 96593552 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 6 + 4)*(15 + i**5 - 16 - 11*i**5).\nAnswer: -160*i**5 - 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.165 + 84.835. Let b = 84 - k. What is the nearest to b in 1\/3, 0.2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -25 - -26. Let x(q) = q**2 - 4*q - 1. Let i be x(4). Put i, 3, p in ascending order.\nAnswer: i, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1506\/(-7)*((-1203)\/903 + 126\/98) + -10.\nAnswer: 2\/301","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 11*k - 252 = 0. Calculate the smallest common multiple of k and 10.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1196 from -4075418.99417.\nAnswer: -4076614.99417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12063, -12036, -12009?\nAnswer: -11982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4604675?\nAnswer: 5, 184187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5596*k**2 + 5597*k**2 - 16784*k**2 + 5599*k**2.\nAnswer: 8*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 412*n - 3 + 2325*n + 434*n + 3 to the form b*n + d and give b.\nAnswer: 3171","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 4277*d + 55604. Calculate k(-13).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16679?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19216?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - 3278*h + 3273*h + 60, 0 = -s + h - 12. Factor s - 2\/3*r**2 + 2\/3*r.\nAnswer: -2*r*(r - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 5*(sqrt(180)\/(-2*sqrt(10) + sqrt(10)) + sqrt(18))\/(sqrt(9) + (sqrt(108)*-2)\/sqrt(12)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 132 - 128. Let t(o) = 5*o**2 + 12*o + 27. Let q be t(-3). Calculate the highest common divisor of l and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/13 (b) -3 (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 - 2 = p + 3*n, 30 = p + n. Suppose -p*y + 30*y + 24 = 0. Calculate the remainder when 94 is divided by y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6000556 is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, s: 1, q: 3, m: 4, b: 1}. What is prob of sequence qsqb?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -486, -2075, -4752, -8523, -13394, -19371, -26460?\n\"Answer: -p**3 - 538*p**2 + 32*p + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of h**5\/20 + 5*h**4\/12 + 5*h**3\/6 - 7*h. Let i be p(-4). Is i - (-2 - -2 - 221) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*t**3 - 74*t**2 + 63*t**3 + 74*t**2.\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 20.5405 and 0.733.\nAnswer: 15.0561865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -34*m**3 - 5*m**2 - 47*m - 22. Let p(n) = -12*n**3 - 2*n**2 - 15*n - 8. Give 11*p(z) - 4*u(z).\nAnswer: 4*z**3 - 2*z**2 + 23*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -975\/7 - -139. Let p = 105 - 61. Let m = p + -40. Is m <= l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.474 - -0.064. Let a = f - 5.79. Let x = a - -5.7. Which is bigger: -3 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 3*o = -17 + 105. What is the greatest common factor of o and 1507?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3\/8, -3\/5, -0.4, -2, 554?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 28300000 rounded to the nearest 1000000?\nAnswer: 28000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 4, k: 1, m: 1, l: 2}. Give prob of picking 1 m and 2 f.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -6, -33068, 16 in descending order.\nAnswer: 16, 12, -6, -33068","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-151)\/(-77) - 1608\/1407. Which is the fourth biggest value? (a) -1 (b) 0.4 (c) x (d) 1 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of 13*q**7\/21 - 11*q**6\/30 - q**4\/4 + 14*q**3\/3 + q**2\/2 - 2420*q. What is the third derivative of t(h) wrt h?\nAnswer: 1560*h**2 - 264*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 127.34 and 6?\nAnswer: 764.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000958571 to four dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 133*l**3 - 50*l - 273*l**3 + 139*l**3 + (-202 + 16*l + 202)*(0*l**2 + l**2 + l**2).\nAnswer: 31*l**3 - 50*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + -122?\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7837 divided by -461.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 35 = x, 4*j + 6 - 23 = -x. Let p be (-15)\/(-20)*2*-12. Let q = x + p. What are the prime factors of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 7 and -20.4?\nAnswer: 27.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 178681 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 4332973?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-286)\/(-715) - 166\/(-10). Calculate the highest common factor of 595 and n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 - 3*p - 9. Let q(u) = u**2 - 6*u. Let c be q(7). Let v be t(c). Suppose w - v - 42 = -2*y, -y = -2*w - 43. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 370000 rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - u + 6 = 2, -g = -3*u + 12. Suppose g = -3*y + 3 + 48. Suppose -25 = -2*s + y. Calculate the greatest common divisor of s and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 42 + 1*3*88\/264. Solve -122 = -y*q + 7 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1135, -2264, -3393, -4522, -5651, -6780?\n\"Answer: -1129*z - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 3*o**2 + 14*o - 1. Let p be b(-5). Find the second derivative of 55*j**p + 244*j - 193*j - 18*j**4 wrt j.\nAnswer: 444*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 190 divide 99560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u - 1. Give y(9).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 85020.35 micrograms?\nAnswer: 0.00000008502035","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -24*o**3 + 8*o**2 + 8*o. Let t = -464 - -472. Let m(n) = 16*n**3 - 5*n**2 - 5*n. What is t*m(b) + 5*a(b)?\nAnswer: 8*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 141926.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -83 + c?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -70 - 150. Let p = m - -218. Which is the nearest to 0.3? (a) 2 (b) -5 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40.3 times 26.681?\nAnswer: 1075.2443","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 413635, -0.929, 5 in increasing order.\nAnswer: -0.929, 5, 413635","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 9, h: 7}. Give prob of picking 1 g and 1 h.\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1 + (-4)\/(24\/33) and -46.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express q**3 - 3*q**4 + 0*q**2 - 3 + 0 + 2 + q**2 in the form n*q + r*q**4 + c*q**3 + j + o*q**2 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4127 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8.8 + -9. Let n = 0.7 + s. Which is the closest to -0.1? (a) 2 (b) n (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -140.1 - -148.89. What is s rounded to one decimal place?\nAnswer: 8.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 37*r + 41*r + 24 = 0, -2*r = -5*w + 21. Solve -3*g - w*x - 24 = 0, -3*g + 2*x = 2*g + 5 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 264*i**6 - 1264*i**2 wrt i.\nAnswer: 31680*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1417 and 5.\nAnswer: 7085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1877 - 1874. Let s(h) be the first derivative of -18*h**2 - 24*h + 98*h**3 - 54*h**5 + 561\/4*h**4 - 175\/2*h**6 + q. Let s(l) = 0. What is l?\nAnswer: -1, -2\/5, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of 13*w**5\/20 + w**3\/3 + 36*w. What is the second derivative of d(m) wrt m?\nAnswer: 78*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15 - -17. Let k be (12\/(-3) + -1)*-1. Suppose -5*x = -3*d + 22, -20 = -0*x + 3*x + k*d. Sort -3, i, x in descending order.\nAnswer: i, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.592499 hours to seconds.\nAnswer: 9332.9964","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*q**4\/9 + 430*q**3\/3 - 8228*q**2 + 36704*q\/9 = 0. What is q?\nAnswer: 0, 1\/2, 74, 248","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + 2*g - 3*g + 2*g + 3*g - 4*g + (3 + g - 3)*(-3 + 4 + 1) + 0*g + g + g - 5*g + 10*g - 11*g)*(-15*g**4 - 25*g**4 + 37*g**4).\nAnswer: 9*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -68 + 68. Suppose k = 19*h - 27*h + 1816. What is the hundreds digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1.702, 0, -2.21?\nAnswer: 1.702","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 3722?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 2*g = -4*g - 29, o + 1 = -3*g. Let a(x) = x**2 - 7*x - 1. Give a(o).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0011382 to five dps.\nAnswer: 0.00114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*s**2 - 8*s**2 - 163 - 555.\nAnswer: 2*s**2 - 718","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64 = -9*r + 25*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 6*m = -2*m - 884, -5*w + 1089 = -3*m. Let j = 1320 - 1298. Calculate the remainder when w is divided by j.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 + 5. Let d(l) = -3*l**2 + 9*l - 15. Let a(n) = -10*n**2 + 26*n - 43. Let r(x) = 4*a(x) - 11*d(x). Let i(b) = 4*b**2 - 3*b + 4. Give p*i(m) - 3*r(m).\nAnswer: m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -2*b. Let v(t) = 5*t + 28. Let j(u) = -u + 9. Let g(h) = 3*j(h) - v(h). Determine g(f(l)).\nAnswer: 16*l - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -22 - (38 - 29) - 0\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 5, -0.14, -22, -10?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -38*0.3\nAnswer: -11.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*f**2 + 668295*f - 86978 wrt f.\nAnswer: -4*f + 668295","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14010196 to the nearest integer?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l - 3. Let j be u(6). Suppose -j*n + 24 = -0*n. Calculate the remainder when 23 is divided by n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*m + 30*m - 20*m + 23*m to r + c*m and give c.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**9*(g\/(g*g**(-12)))\/g)**(-1\/12) assuming g is positive.\nAnswer: g**(-5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 9 = 356. Let o = b + -37. Let a be 9\/o + 45\/12. Let x(n) = -4*n + 2. Give x(a).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3881*j**2 - 727 wrt j.\nAnswer: 7762*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.16 times 98\nAnswer: 15.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 422092347 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 + j**2 + j + 1. Let r be m(0). Let k = -5.1563614 + 0.1563614. What is the nearest to 2 in 2, k, 3\/4, r?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3677*r + 2177*r + 39436 + 47716 = 3947*r for r.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 38 + (3 - 16 - -22) - (-4 - -8)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5552500)\/(-3 - (6\/(-14) - (-11271)\/(-4368))). Round b to the nearest 1000000.\nAnswer: -622000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -2*x**5\/7 - 550*x**4\/7 + 1662*x**3\/7 - 238*x**2 + 556*x\/7 = 0.\nAnswer: -278, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**0*n)\/n)**(-44) assuming n is positive.\nAnswer: n**(-44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/5)\/((-522)\/(-290)*(-3)\/(-9))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.04716 - 29279768608\nAnswer: -29279768607.95284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes before 11:21 PM?\nAnswer: 7:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2*l**2 - 9*l - 15. Let v be p(11). Suppose -7*u + v = -33. List the prime factors of u.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y**5\/9 - 8752*y**4\/9 - 3179872*y**3\/3 + 76737536*y**2\/9 - 153755648*y\/9 = 0 for y.\nAnswer: -2192, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-6)*k)**(-15\/7))**36 assuming k is positive.\nAnswer: k**(2700\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 205*s + 1540. Calculate b(-9).\nAnswer: -305","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 153.432 rounded to one decimal place?\nAnswer: 153.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5216 and 7824?\nAnswer: 15648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -5. Let y(v) = 6*v + 3. Let w(g) = g. Let u(n) = o*w(n) - y(n). Let q be u(-2). Solve -q = 4*m - 5*p, 3*p + p + 14 = -5*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -28175.6 or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-4)*(-5)\/75*24\/(-12)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r - 31*r**2 + 56*r**2 + 44*r**2.\nAnswer: 69*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1\/1469 - 527376\/7345. Is -72 at most k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9922 divided by 41331?\nAnswer: 9922\/41331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -41039 - -41039.0000098546. What is x rounded to 6 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - -63. Let r = f + -102. Find the common denominator of (-72)\/(-612) - (-853)\/119 and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -2*m + 6. Let o be z(5). What is the closest to -0.1 in 2\/19, o, 5?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 820014 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 9221 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*n**2 + 7*n**3 - 15*n**3 - 14*n**3 - 5*n**2 wrt n?\nAnswer: -132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 450\/(-60)*(-112)\/20. Solve 0 = 156*x - 149*x + o for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 94 + -58. Let f = -88 + i. Which is smaller: -53 or f?\nAnswer: -53","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -11279, -11278, -11277, -11276, -11275, -11274?\n\"Answer: z - 11280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 68050321 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 3 - (-6375 + 6274).\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of 2*b**5\/5 - b**4\/4 + 3253*b**2. Let x(l) = -4*l. Determine x(y(a)).\nAnswer: -96*a**2 + 24*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t\/(t**(3\/5)\/t*t*t))**(-10\/19))**(-10\/3))**(-1\/20))**(3\/19) assuming t is positive.\nAnswer: t**(3\/361)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 67? (a) 0.3 (b) 0.2 (c) 2\/5 (d) -5 (e) -171\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 957995 or 958233?\nAnswer: 958233","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6.6 + 0.6. Let w = y + 8. What is the closest to 0.1 in 3, -2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 2886*n + 6 + 10 = 2888*n - 10, 0 = v + 11*n - 196 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 12)*(-5*s - s + 0*s) + 1074 - 3*s + 0*s - 1121.\nAnswer: 51*s - 47","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -26 + 28. Let m(u) = 2*u**3 - 2*u**2 - u + 1. Let s be m(p). Let x(y) = 6 - s - 4*y + 3*y - 6. What is x(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*l + 32*l - 24*l.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2610 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1178557841 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - 8 - 8. Let g = f - -6. Suppose -g*x - 2*d + 9 = x, -x + 4 = d. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -34574503800 to the nearest one million.\nAnswer: -34575000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of p**4\/4 - 13*p**3\/3 - 21*p**2\/2 - 10*p + 2. Let c be m(15). Let h = -16 + c. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 198 divide 143550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 259 (base 10) to base 13.\nAnswer: 16c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.614*-32463\nAnswer: -19932.282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 + 5*r**2 + r + 41. What is the remainder when 284 is divided by o(0)?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = -5*v + 25*v. Solve n - v*p = -3*n - 20, 0 = -4*n + p - 12 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -1135*s + 7947. Let i be a(7). Solve t - 5*d = -5, 4*t + i*d - 21 = 3 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (1 + sqrt(153))**2 - ((sqrt(153) - sqrt(153)*1)*-4)**2.\nAnswer: 6*sqrt(17) + 155","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 132091.\nAnswer: 31, 4261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, 21, 26?\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 31*r + 53*r - 504. Suppose 2*h - 7*h + 150 = 0. Calculate the greatest common divisor of h and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1449 = 4*y - 211. Suppose 0 = 5*p - y - 230. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88 is divided by 51.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 395647?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (39\/(-65))\/((-4)\/5).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1797177 * -0.4\nAnswer: -718870.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 382\/(-6112)*50\/(-325)?\nAnswer: 1\/104","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 25 = -3*t, 3*h = 2*h - t for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the first derivative of -35*v**4\/4 - 4*v**3 - 21*v**2 + 9*v - 177. Is r(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 - -23. Let l be (-10)\/8*(10 - n). Let d = l + -4. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 145 and 1187260?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2c792 + 2d9?\nAnswer: 2ca6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.648056 millilitres in litres?\nAnswer: 0.004648056","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 688 - 1419. Let c = h - -731.3. What is the closest to -0.1 in c, 12, -1, -3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (53 - (-360)\/(-10)) + (-1314)\/78.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.17934+-0.5\nAnswer: -0.32066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 164c6 + 5?\nAnswer: 164cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 997203.9ng?\nAnswer: 0.0000000009972039","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -523*v**2 - 168*v**2 - 27*v**2 as s*v**2 + n + l*v and give s.\nAnswer: -718","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c + 1. Let f be w(0). Let p be ((-2)\/f)\/(-1 - 0). Suppose 0*h - p*h = -10600000. What is h rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -54632, -58651, -62670, -66689, -70708?\nAnswer: -74727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*b**2*h - 12*b*h - 2*b + 71*h + 1 with respect to b.\nAnswer: 18*b*h - 12*h - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 4*w + 3 + 1 - 2*w. Suppose -s + 4*s = 3*v + 12, 0 = v - 1. What is the tens digit of q(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 4*t**2 + 4*t - 7. Let z be i(6). Suppose 2 = 3*p + z. Let u = p - -90. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 - 19*r**2 + 19*r - 19. Let v be p(18). Sort v, -5, 2 in increasing order.\nAnswer: -5, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6240 or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 110\/9 (b) 7\/4 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*x = -30*x - 2*p + 22, -5*x + p + 21 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1237 (base 8) in base 7?\nAnswer: -1646","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2281 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate c**2 - 684210371*c + 349968537 with respect to c.\nAnswer: 2*c - 684210371","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 2 = -2, 3*v + 24 = 3*j. Let o be (-43)\/(-9) - 2\/(-9). Suppose -181 = -5*z - 3*u, -z + u - o = -38. Calculate the remainder when z is divided by j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3009 - 1800. Does 39 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 18*j - 1154. What is the smallest common multiple of 2132 and k(67)?\nAnswer: 2132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2719 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 216433506.\nAnswer: 2, 3, 31, 41, 101, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, 3, 8, 1, 11 in increasing order.\nAnswer: -24, 1, 3, 8, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4446 and 2717.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -4*o + 156. What is p(39)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2. Let y(f) = -16*f**2 - 3*f. Let o(s) = 15*s**2 + 4*s. Let g = -9 + 5. Let a(p) = g*y(p) - 3*o(p). Calculate a(h(w)).\nAnswer: 19*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1124160972 a multiple of 2244?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 0)*((1 + 1 - 1)*(-3*u - u + u) - 991 - 14*u + 991 + 2*u - u - 2*u).\nAnswer: -36*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 2\/1125 (b) 4\/5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2160240 and 168.\nAnswer: 15121680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) + 3*(sqrt(117) - (sqrt(117) + -4*sqrt(117))))\/(sqrt(441) + sqrt(441)*2)*-2.\nAnswer: -26*sqrt(13)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1419703, -2839408, -4259111, -5678812, -7098511, -8518208?\n\"Answer: d**2 - 1419708*d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 1 = -0*c. Which is bigger: c or 4\/19?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) 21\/1208 (c) 28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 204*b - 106*b + 2916480358*b**3 - 2916480361*b**3 - 98*b.\nAnswer: -3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -33 - -73. Let a = 776.42055 + -816.420551. Let r = a + f. Round r to 5 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2 - 168*r - 3528.\nAnswer: -2*(r + 42)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -5*h**2 - 185*h = 0.\nAnswer: -37, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -4*d - 3. Let o be w(-2). Suppose -o*b = -b - 12. Suppose -5*n + b*n = -42. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 535, 1096, 1685, 2302?\nAnswer: 2947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/19, -2\/9, 0.154, 0, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add -9.85 and -3778.7.\nAnswer: -3788.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 120531 and -0.047048?\nAnswer: 120531.047048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27762?\nAnswer: 2, 3, 7, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -59687 + 59637. Let s = 1 + -0.5. Which is the second smallest value? (a) s (b) o (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 8 = -2*f, -27 = -5*f + 3*s - 7. Let k be (-1)\/2*(-32)\/f. Solve -k*y - y - 5 = -5*q, -3*q - 25 = 4*y for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 753 is divided by (1 - 2)\/((-246)\/2952).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/9))**(-1\/53)\/(i**(-3))**(1\/6) assuming i is positive.\nAnswer: i**(479\/954)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-18)\/(-24))\/(1\/2). Let b(l) be the first derivative of 0*l - 7 + 0*l**3 - 3\/4*l**4 + j*l**2. Find the second derivative of b(z) wrt z.\nAnswer: -18*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*u = 18*u - 11. Calculate the remainder when 75 is divided by u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 3 - 1)*(51*r - 5596*r + 38344*r) to the form l + v*r and give v.\nAnswer: 65598","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17 + 39. Let a be ((-790)\/1975)\/(4\/(-30)). Sort 1, q, a in increasing order.\nAnswer: 1, a, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 3*d + 8. Let w(i) be the second derivative of 5*i**3\/6 + 15*i**2\/2 + i - 18. What is -11*v(z) + 6*w(z)?\nAnswer: -3*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 390784562 to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - (-5 - (-5 + -3))) + -10?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24812 + -347257\/14. Let s = 43018 + -2710070\/63. What is the common denominator of s and q?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*n - 5 = -85*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 45*z**3 - 31*z**2 - 17. Let t(d) = -15*d**3 + 10*d**2 + 6. Let i(p) = -17*t(p) - 6*u(p). What is the third derivative of i(c) wrt c?\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 619991317 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3731894 rounded to the nearest 100000?\nAnswer: 3700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 584903.\nAnswer: 11, 53173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 684\/11 + 346\/11*x + 2\/11*x**2.\nAnswer: 2*(x + 2)*(x + 171)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 4 + 21. Solve -p*n + 10 = 0, -3*c = -0*n + 5*n + 2 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of -n**4\/12 + 2*n. Let r(y) = -5*y + 8. Let u(s) = -s + 1. Let v(m) = -3*r(m) + 24*u(m). What is v(t(x))?\nAnswer: 9*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3321 and 3895?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*n**2 - 9 - 205*n + 205*n with respect to n.\nAnswer: -8*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -55*i - 795. Let s be d(-9). Is -300 greater than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/3*-3 + 12. Let j = 66 - k. What is the remainder when j is divided by 27?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18 - 13. Let q(x) = -x + s - 6 + 3*x - x. Calculate q(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1491 is divided by 64.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -279.5 - 169646675.05.\nAnswer: -169646954.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -50, -168, -378, -686, -1098?\nAnswer: -1620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -2*y - 10. Let u be w(-7). Let j be 0\/1*u\/8. Factor j*v - 1 + 4*v - 4*v**3 - 2*v**4 + 1 + 2*v**2.\nAnswer: -2*v*(v - 1)*(v + 1)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 64.9 + -62. Let q = a - 3. What is the third biggest value in -0.2, q, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3\/(-4))\/((-85)\/68). Let q = 1279\/7 + -183. Which is the biggest value? (a) q (b) -4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-6))\/(14*5\/60)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4566745 litres in millilitres?\nAnswer: 456.6745","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do -216283 and 6 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 + 3. What are the prime factors of 76\/u*(-9)\/6?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -297\/5 - -59. Let g = -0.6 - -0.1. Which is the nearest to y? (a) 0.3 (b) g (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**3 + 214684*n**2 - 644016*n.\nAnswer: -4*n*(n - 53668)*(n - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(-28) + ((-3)\/(-9)*-3)\/1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4 - -2 - (-9 + 0). Suppose 4*w = 1 + a. Calculate the remainder when 2 is divided by w.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3, -15, 95, -168 in ascending order.\nAnswer: -168, -15, -3, -1, 95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p**3 - 3*p**3 + 3*p**3 - 1 + 2*p**3 + 1 + (-2*p + 3*p - 3*p)*(-p**2 - 3*p + 3*p) + 2*p**3 + 2 - 2 + 2*p**3 - 3*p**2 + 3*p**2.\nAnswer: 10*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -4\/141 (b) 2\/9 (c) 7\/62\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1626 divided by 614910\nAnswer: -271\/102485","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 AM and 3:23 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/105)\/(-4*15\/(-200))\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 990446 (base 13) to base 6\nAnswer: 205051552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11.8 + 11.799999703. What is s rounded to seven dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/j**(2\/3)*j*j)**42*(j**(-1\/3))**10)**(-1) assuming j is positive.\nAnswer: j**(-410\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + (9 - -5) + 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1677*j**4 + 5*j**2 + 24915*j?\nAnswer: -20124*j**2 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 32.0048 to zero decimal places.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of -539*o**6\/20 + o**5\/60 - 195*o**4\/8 + 1410*o**2. Find the second derivative of l(k) wrt k.\nAnswer: -19404*k + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -6*b + 5. Let o(r) = -3*r + 2. Let v(z) = -6*g(z) + 15*o(z). Let j(f) be the third derivative of -f**5\/60 - 9*f**2 - 3*f. Give v(j(l)).\nAnswer: 9*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/6, 157, -2, -22, 2\/3, -60\/13?\nAnswer: -60\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/j**(-4\/5)*j)\/j)**(-9)*j\/(j*j*j**(3\/2))*j**(-24) assuming j is positive.\nAnswer: j**(-517\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5161 > 5183?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -37*n - 44. Is 8 a factor of z(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 - 6 - (6 - 4 - 0)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 42506 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of -27*m**5\/5 + m**4\/12 + 9*m**3\/2 + 7*m**2\/2 + m + 55. What is the second derivative of k(d) wrt d?\nAnswer: -648*d + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2 + d. Let s be x(2). Let z(p) be the second derivative of p**4\/4 + p**3\/3 + 3*p**2\/2 - 7*p. Is 11 a factor of z(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zcwf when four letters picked without replacement from cckzfzwkcfck?\nAnswer: 2\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.45 + -32.55. Let u = -1 - q. Let w = 39 - u. What is the nearest to -0.1 in -1, w, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of 119 + 0*a + 22*a**3 - 177\/4*a**4 + 0*a**2. Find the third derivative of u(h) wrt h.\nAnswer: -1062","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 2*w + 2 - w - 1 + 4*w + 0 - w + 5*w - 5*w + (7*w - 3*w - 3*w)*(0 + 5 - 3))*(7 - 4 + 8)*(7 - 12 - 3) as x*w + i and give i.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106*q + 1142 = -166*q + 5494 for q.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*n + 3*n - 196202*n**2 + 38*n**3 + 196201*n**2 - 2*n**4 to f + s*n**3 + q*n**4 + j*n**2 + g*n and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -102*g - 235. Let w(i) = 83*i + 239. Determine -5*a(q) - 6*w(q).\nAnswer: 12*q - 259","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the third derivative of -135*y**8\/112 - 21*y**7\/4 - 33*y**6\/4 - 113*y**5\/24 + 5*y**4\/6 + 5*y**3\/3 + 104*y**2 + 1. Solve m(v) = 0.\nAnswer: -1, -2\/3, -2\/9, 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -150 - -157. Let w(k) = -21 + 3*k**3 + k**2 + 11 + k - 4*k**3 + u*k**2. Determine w(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 13*n**2 + 5. Let d be u(-4). Let j = d + -1494\/7. What is the third smallest value in j, -0.1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + 7 - 13\/((-78)\/(-54)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-40)\/50 + (-98)\/(-10). Let w = g + 5. Suppose 0 = -9*t + 10*t - 25. What is the remainder when t is divided by w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 17*v**2 - 1. Let b be r(1). Suppose -4*n = b - 60. Let y = -34 + 54. Calculate the remainder when y is divided by n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1197 - -8381\/7. Determine m, given that -k - 2\/7*m**2 - 4\/7*m = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 = 83?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93*d - 43*d - 50*d + 370*d**3.\nAnswer: 370*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13368621*l**3*r**2 + 10095774*l**3 - 8*l*r**2 + 5*l*r wrt r?\nAnswer: -26737242*l**3 - 16*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -64 - -69. Suppose -8 = -3*d - 2*f - 2, y*f = 5*d + 15. Suppose d = -4*p - 4*b + 3916, -2*b + 2475 + 1437 = 4*p. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -2167*n - 556882. Determine b(-257).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2 + 1902*b + 52146. What is w(-27)?\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*v**2 - 53128*v + 176411524 = 0. What is v?\nAnswer: 6641","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2 + (-3 - -7 - 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11 in -0.4, 17277, -0.1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 218 is divided by 80?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1, -3, 0.7, -2\/9, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.13786 - 29.\nAnswer: -28.86214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -5 + (-2*-1*sqrt(98) - (sqrt(98) - (3*(1 + sqrt(98) + sqrt(98)))**2)).\nAnswer: 259*sqrt(2) + 3531","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 5636 to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 minus 12998.7581?\nAnswer: -12993.7581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9356775 divided by -128175.\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 670*h + 10704 = 224*h for h.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 143*g + 102*g = 75*g + 10710 for g.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4220886?\nAnswer: 2, 3, 37, 19013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((sqrt(112) - (sqrt(112) - (sqrt(112) - (sqrt(112) + 0)))*-6) + 2*(-1 + sqrt(7)) + sqrt(567) + sqrt(567) + 1 + sqrt(567))*3*3)**2.\nAnswer: -27702*sqrt(7) + 5526792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 138.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5100 and 1741140.\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 4*j = 4*z - 193500, 5*z + 3*j = 241858. Let h = -24675 + z. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 79959 and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -162*d - 4 + 166*d + 4.\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 224 a factor of 2749?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*d - 2*d + 0*d + 7*d + 29 in the form z*d + y and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -31.06 to the nearest integer.\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/363 and 89\/66?\nAnswer: 726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2*v**2 + 10*v + 4. Let q be h(-7). Suppose g = -g - q. Let x = -23 - g. What is x rounded to zero decimal places?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 - v. Let y(z) = -2*z + 1. Let r be y(1). Let l(h) = 2*h**3 + 6*h**2 + 12*h - 5. Let t(g) = r*l(g) - n(g). Is t(-10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/(5\/(20\/(-8))). What is the closest to 3 in a, -3, -5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-9950)\/(-75) - 8\/(-6) is divided by 71?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74*o**3 + 2 + 75*o**3 - 106*o**3.\nAnswer: 43*o**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add -30018784 and 0.3255.\nAnswer: -30018783.6745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 85 and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 105337?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 15*f - 53. Let l be j(4). Solve -12 = 13*h - l*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -41 divided by 9\nAnswer: -41\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (13*v**2 - 13*v**2 - 9*v**3 + 3*v)*(2*v - v - 2*v) as c + h*v**3 + i*v + b*v**4 + m*v**2 and give b.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20 - -21. Let d = -0.01 - 2.99. Let j = 6 + d. What is the closest to -2\/7 in k, j, 2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 7*u + 221. Let r be g(0). Let b = r - 218. Solve 0 = 20*a - 17*a - b for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -0.6, -90, -2.8?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-4)*h**(-1\/4))\/(h*h\/(h\/h**2))**(-40) assuming h is positive.\nAnswer: h**(499\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -871321.07?\nAnswer: -87132.107","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -37*n**2 - 10 + 24*n**2 - 2*n + 16*n**2 + (1 - n**2 - 1)*(-9 - 6 - 9) in the form t*n**2 + d*n + g and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10059787.\nAnswer: 337, 29851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rirmoiirriiiioi. Give prob of sequence mi.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 a when four letters picked without replacement from {a: 6, f: 2, v: 9}.\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2882 - -2897. Suppose 5*o = -2*x + 5*x - 29, 0 = 5*o + 20. Suppose p - 2*w + 6 = 0, -k + 6 = p - x*w. Let g(a) = a - 2. Calculate g(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1756, 3513, 5270, 7027, 8784?\n\"Answer: 1757*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -53 + 423\/8. Suppose -5*s = -2*w - 3*s, s = 3*w - 8. Let a = 54 + -49. What is the nearest to 1 in w, x, a?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -4*h + 18, c = -2*c + 4*h - 14. Let q be (c\/(-4))\/(1\/(-18)). Is 13 a factor of (3\/q + -2)*-21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of 1\/3*i**4 + 4\/9*i**3 + 0*i + 28 - 4\/3*i**2. Factor x(g).\nAnswer: 4*g*(g - 1)*(g + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -7*h. Suppose 0*p = -2*k + p, 0 = 2*k - 4*p + 12. Let q(d) = -2*d**k + 3*d + 4*d**2 - 3*d. Calculate y(q(r)).\nAnswer: -14*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5 and -755595.\nAnswer: -755590","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -16052420 + 15?\nAnswer: -16052402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19676550 divided by 3.\nAnswer: -6558850","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4649, -21313, -49087, -87971, -137965?\n\"Answer: -5555*w**2 + w + 905","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36 and 7404?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 287648, 287628, 287622, 287636, 287676?\n\"Answer: w**3 + w**2 - 30*w + 287676","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -152144*g**3 + 1036*g**2 - 1036*g + 1036. Let w(t) = 735*t**3 - 5*t**2 + 5*t - 5. Give 5*n(o) + 1036*w(o).\nAnswer: 740*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(2\/(-3) - 7\/21).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 32*g**5 + 8*g**4 - 887*g wrt g?\nAnswer: 640*g**3 + 96*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1945 = d - 2*d. Let l(x) = -3*x**3 + 117*x**2 + x - 37. Let q be l(39). Suppose 3*n + 973 = q*a, -4*n + d = 4*a - 9*n. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5.003 - 0.003. Let u = 832\/9 - 92. Put u, p, 3\/4, -1 in descending order.\nAnswer: p, 3\/4, u, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2962 at most 7606?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7378.376957 rounded to the nearest 10?\nAnswer: 7380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2 - 16*n - 9. Calculate g(14).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*i = -15*i. Suppose 0 = d + 5*s + 3 - 2, i = 5*d - 3*s - 23. Suppose -50 = -b - d*b. What is the least common multiple of b and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*h - 2*h - 58*h)*(-h + h + h).\nAnswer: -78*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.977713nm?\nAnswer: 0.000000977713","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -242431794 minus 0.1354373?\nAnswer: -242431794.1354373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 2 - 1)*(-3*q**3 + 17*q**3 - 8*q**3) to the form g*q**3 + m*q + v + c*q**2 and give g.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v - 8. Let u be k(8). Let x = -241\/410 + -1\/82. Is x at most u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 1277 = -703. What is the tens digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*r = 18*r - 562*r - 24135 - 11672 for r.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 divided by -5?\nAnswer: -158\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 46, 548, 1470, 2812, 4574, 6756, 9358?\n\"Answer: 210*i**2 - 128*i - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1973488, -1973472, -1973432, -1973356, -1973232, -1973048, -1972792, -1972452?\n\"Answer: 2*x**3 + 2*x - 1973492","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1419 = -10560*u + 10593*u for u.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 84 - 59. Solve 0*v - 3*v = -2*g - o, 5*g = -3*v - 10 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 0 + 97 + -110.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 718219?\nAnswer: 19, 103, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyyryyymyyyyyyyyyy. Give prob of picking 2 y.\nAnswer: 136\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -337 divided by 161?\nAnswer: -337\/161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1891 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + -44?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.22 or -1.7?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -8124879 bigger than -8124875?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5871, -5880, -5889, -5898, -5907?\nAnswer: -5916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -3*p + 18. Let x(z) = -z + 6. Let g be x(0). Let m be l(g). Solve 2*b - k + 1 - 13 = m, -b = k for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3757?\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqqqqqqqqqy. What is prob of picking 2 q?\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*g, -3*u + 2*g + 162 = 5*g. What is the greatest common divisor of u and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -12*m. Let w(a) be the third derivative of 0*a**3 - 1\/3*a**4 + 143*a**2 + 0*a + 0. Determine q(w(k)).\nAnswer: 96*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -64*b + 115*b + 28*b**2 - 51*b. Let r(k) = -7*k. What is r(u(x))?\nAnswer: -196*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -13*i**3 + 55403*i**2 + 123650*i + 25584.\nAnswer: -(i - 4264)*(i + 2)*(13*i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of -1\/30*p**5 + 0*p**2 - 2 + p - 1\/9*p**4 + 0*p**3. Suppose w(m) = 0. Calculate m.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8 + 2*s**5 - s**5 - 2*s**4 + s**4 + 22*s**5 + 22*s**5 - 13*s**5 + 2*s**5 + 0*s**3 + 0*s**3 + (s**2 + s**2 + 0*s**2)*(-s**3 + 0*s**3 - s**3).\nAnswer: 30*s**5 - s**4 - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -1.2, 0.31?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11835535?\nAnswer: 5, 43, 55049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (56\/(-280))\/(24\/(-525)).\nAnswer: 35\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 5) to base 11.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ucn when three letters picked without replacement from {n: 2, p: 2, u: 5, d: 6, c: 3}?\nAnswer: 5\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2490685 and 2065.\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) 3\/7 (b) 7\/4 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) -3 (c) 2\/1421615 (d) -2\/7 (e) -2\/15 (f) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 4. Let l(t) = 57 - 10*t**w - 57. Let s(j) = -2*j**2. Calculate l(s(f)).\nAnswer: -40*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 136 a factor of 18069?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/6 and 99\/392.\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4490.91 or 7\/10?\nAnswer: 7\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 11, 5\/4, -4\/3?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*j**3 + 3*j**3 - 3*j**3 + (-j**3 + 0 + 0)*(10 - 7 + 2) to n*j**3 + k + o*j + f*j**2 and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -3*g**3\/7 + 1464840*g**2\/7 - 178810089084*g\/7 - 715263793968\/7 = 0.\nAnswer: -4, 244142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*z**4 - 10152*z**3 + 2*z**2 - 7099 wrt z?\nAnswer: 8*z**3 - 30456*z**2 + 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the third derivative of 0*n**3 + 0*n + 5\/24*n**4 + 4*n**2 + 0. Let w(h) = -6*h. Determine w(l(j)).\nAnswer: -30*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -4*g. Let l(x) be the third derivative of 115*x**4\/24 - x**3\/2 + 2*x**2 - 2350. Determine l(h(t)).\nAnswer: -460*t - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**2 + k - k)*(0*k + 0*k + 2*k**2)*(87267*k + 4 - 86594*k - 7).\nAnswer: 1346*k**5 - 6*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -3*c + 1. Let x be ((-39)\/(-65))\/(6\/40). Calculate k(x).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 336872461 to the nearest integer?\nAnswer: 696","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 475544, 951097, 1426652, 1902209, 2377768?\nAnswer: 2853329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 4 = 2. Let y be x\/((9\/(-28))\/(-9)). Let o = y - 20. Calculate the remainder when 15 is divided by o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 b when three letters picked without replacement from ubejuubou.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/80 and -53\/40?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 5 = f. Solve t + 2*d = -f, -5*t - 2*d = -d + 24 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 - 11. Let w = f - -7. Suppose o + 115 = w*o. List the prime factors of o.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -297 - -520. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -e6 (base 15) to base 9.\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(126)\/(-3*(sqrt(2) - -2*sqrt(2))).\nAnswer: -sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -3 (c) 8\/5 (d) 22\/7 (e) -5 (f) 0.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 370 = -3*u, -q - 229 = -2*u + 17. Suppose -2*d - u = -4*d. Suppose -3*g + d = -2*y + y, -2*g = y - 44. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.8933158 centuries?\nAnswer: 89.33158","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + -3.4. What is the smallest value in u, 3, 2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 3*w = 7, -w = 2*c - 0*w + 5 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2787884267?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 769145?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1097*a + 1089*a - 2197*a - 1 - 5*a**2 + 1 + 0.\nAnswer: -5*a**2 - 11*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 3\/5, -0.4, -35, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1546 - 1547.093. Let l = 0.726 + j. Round l to 1 dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 86694.19 meters to nanometers.\nAnswer: 86694190000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -56675 by 3.\nAnswer: -56675\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -3691530, 2 in ascending order.\nAnswer: -3691530, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 97 + -85. Let j be (-9)\/(-2)*m\/(-18). Let s(x) = -2*x**2 - 4*x - 3. Determine s(j).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6979 is divided by 132.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1703680 minus -169652894?\nAnswer: 167949214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.4 - -0.6. Let s = -1 - z. Let x(g) = g + 7. Let n be x(-6). Put n, s, -4 in descending order.\nAnswer: n, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6110607455?\nAnswer: 5, 23, 53135717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of 16*f**3 - 4. Let c(p) = -3*p**2. What is -33*c(s) - 2*q(s)?\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 10:25 AM?\nAnswer: 10:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -5 - (-51 + (4 - 5)). What is the units digit of x\/(-1)*(-21 - -17)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 61227*m**4 - 30615*m**4 - 29 - 30610*m**4 - 78*m to the form y + c*m**4 + w*m**2 + d*m**3 + r*m and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of 1325*u**4\/2 + 1843*u**2 + 10528*u. What is the derivative of k(i) wrt i?\nAnswer: 15900*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 2*h + 50 = 0, 0 = 2*i + i + 5*h + 107. Let d = i + 47. Let m be d\/(-171) - (-80)\/38. Solve w = m - 1 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 127039014?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/3 + (-103)\/(-3). Suppose 0 = -j + 5*l - 11, -5*j + l = -j - 32. Suppose 8 + j = o. Calculate the greatest common factor of o and k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31 * -2.5\nAnswer: 77.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 15\/7, 0.3, 0, 0.09, 0.18?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 575.9749mg?\nAnswer: 575974900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/10 and 51\/334?\nAnswer: 1670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3710*w + 12*w**3 + 3710*w.\nAnswer: 12*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 66252 to the nearest integer?\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 + -1)\/(0\/(-1) - 3). Suppose 3*x - 3 - 15 = l. Find c, given that x - 2 - 4*c**2 + 4*c - 4*c = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1866*h - 873 wrt h.\nAnswer: 1866","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 80 and 581866320.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*z + 4*z**2 + 96 - 96)*(-4*z**2 + 5 - 5) in the form k*z**2 + j + x*z**4 + v*z**3 + i*z and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22 + 32. Suppose -13*z + 162 = -f*z. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k - 3*k + k)*(1 + 1 - 1) + 4 - k - 4 + (18 + 3*k - 18)*(-2 + 0 + 0) + 234 - 2*k - 234.\nAnswer: -11*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of -7*v**4\/12 - v**3 - 63*v. What is the second derivative of j(x) wrt x?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 61774819?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*h - 2*h, 2*h = 4*m - 16. What is the remainder when 37 is divided by 16 + (m - 2 - 6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 + 10*u**2 - u + 44. Let v be t(0). Suppose v*n - 71*n = -10503. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3005?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5281.\nAnswer: 5281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 4*q. Is -3 - (96\/(-4) + q) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the third derivative of l**6\/40 - 2*l**5\/15 + l**4\/6 + l**3 - l**2. Let c be j(5). Suppose -2*b = -c + 7. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.4 + -0.4. Let l = 2 + x. Suppose 4*k - 10*k = 5*k. What is the closest to 5 in k, l, 2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((-3*(sqrt(234)\/(sqrt(9) + sqrt(9) + (sqrt(9) - sqrt(18)\/sqrt(2)) + sqrt(9)) - sqrt(26) - sqrt(26)))\/(-3*-6*sqrt(4)\/sqrt(2)) + -3)*4)**2.\nAnswer: -1280*sqrt(13)\/3 + 207424\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of -h**8\/6720 - h**7\/1260 + h**6\/720 + h**5\/60 + 3*h**4\/4 - 9*h. Let n(a) be the third derivative of p(a). Factor n(j).\nAnswer: -(j - 1)*(j + 1)*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 + 35*m**2 + 13030*m + 533. What is r(133)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6639 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 504 and 3108.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p + 5*p - 45. What is the third derivative of 7*j**5 + 13*j**5 - 13*j**2 - 2*j**p + 6*j**5 wrt j?\nAnswer: 1440*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 433 is divided by 82.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = -3*b, -5*b = 2*u - 4321 + 4306 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + w**4 - 27\/2*w**3 - 12*w**2 - 2*w + 9\/2*w**5 = 0. What is w?\nAnswer: -1, -2\/9, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11791 + 18061. Suppose -18*c = 12*c - i. Is 3 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7385*o**3 - o**2 + 810*o + 4.\nAnswer: -44310","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = -51*o + 56*o for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 23 + -18. Suppose t*h + 23 - 63 = 0. Let z = 40 - h. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 358163727?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -241 (base 12) to base 3\nAnswer: -110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -12*h. Let d be (-1 + 0)*(-1)\/(5\/15). Suppose -d*i - 73 = -79. What is c(i)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*h = -13*h - 290. What are the prime factors of h?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2 + 394*r - 1920.\nAnswer: -2*(r - 192)*(r - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2323 is divided by 470?\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -2*b**3 - 2*b**2 + 6*b - 5. Let f(z) = -z**3 - z + 1. What is 5*f(v) + o(v)?\nAnswer: -7*v**3 - 2*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of -67*n**4\/4 - n**3\/3 - n**2\/2 - 2*n - 25. Let q be o(-1). Calculate the greatest common factor of 13 and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7202*s**2*w**3 + 6*s*w**3 - 5538*s*w wrt s?\nAnswer: -14404*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, o: 2, l: 1, q: 2, g: 1}. Give prob of sequence qgqj.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -964 + 1486. Does 7 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u**3 - 68274*u**2 - 25819820*u + 6459222 = 0. Calculate u.\nAnswer: -363, 1\/4, 8897","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1794231*k**3 + 869*k**2 + 2*k + 847 wrt k.\nAnswer: -10765386","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*p - 86*p + 5*g = -35, -3*g + 19 = 5*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 26770b (base 12) to base 6\nAnswer: 21340415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2346*p*u**2 + 8*p*u + 2*p + 2*u**2 + 331066 with respect to u.\nAnswer: -4692*p*u + 8*p + 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) -8 (c) -1\/6 (d) -1\/28 (e) -0.434 (f) -2 (g) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*t - o + 11, 3*t + 214 - 245 = 4*o for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 656 = 5*l + 4*f, -3*l - 189 = 5*f - 580. Calculate the greatest common factor of l and 176.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 114 take away -23?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11.2 + -11. Which is the nearest to 0.3? (a) z (b) -3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*m + 4*p - 75 = -17*m, 0 = -2*m + 2*p - 32. Let x(o) = 2*o - 12. Let d(j) = j - 6. Give m*d(l) + 6*x(l).\nAnswer: l - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 188*q + 8 - 6. Let m(j) be the first derivative of 4\/15*j**5 + q*j - 10 + 0*j**2 - 1\/9*j**6 + 1\/6*j**4 - 4\/9*j**3. Let m(b) = 0. Calculate b.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9349*z + 939216 = -9301*z. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -52\/327 and 41\/763.\nAnswer: 2289","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/4 + 1\/(-4) and (-4)\/6 + (-13)\/((-1092)\/(-1610)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.043533148 + -73.844.\nAnswer: -73.887533148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 o when three letters picked without replacement from {u: 4, o: 6, r: 3}?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -2*r - 4*k, 16 = -4*r - r - 4*k. Solve 3*m - 2*a = -8, m = -4*a - r*a + 2 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24000 to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 - -5. Let y(f) = -3*f - 11. Suppose -l + 6*l = -z + 34, 2*l + 92 = 4*z. What is the remainder when z is divided by y(s)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f*f**(-1)\/f))**23)**(-4\/15)*f\/(f\/f**(3\/4))*f**1*f**(-2)\/(f\/f**(-5)) assuming f is positive.\nAnswer: f**(-1111\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -5*h + 53, -3*h = 2*p - 9 - 20. Let r be (-172)\/(-14) + -1*2\/p. Let v = 1 - -1. Put r, 0.4, v in ascending order.\nAnswer: 0.4, v, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + -3. Let w be (m - -12)*3\/5. Suppose -v + 2 + w = -5*o, -o - 103 = -5*v. Solve 3*z + 2*b = -0*b - v, -12 = 3*z - b for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 775 and 279.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8137 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**5 - 4*x + 4*x)*(2 - 3 + 2)*(-883 + 382 - 814).\nAnswer: 1315*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 922733 greater than 2\/287?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 697605 is divided by 13944?\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 4*z - 7*z. Let t(f) = -2*f**2 - f. Let k(v) = -v**2 - v. Calculate z*t(u) - 3*k(u).\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 4. Suppose -2*z + 18 = 2*l - l, -5*z + s*l + 34 = 0. Suppose w = 2*w - z. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.701 + 0.299. Let q = 919\/8 - 115. Sort z, q, -5 in descending order.\nAnswer: z, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 7:09 AM?\nAnswer: 1:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65138 + 2*s + 65138.\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -4.2. Let s = -0.07 + -1.93. Let x = s + o. Which is the biggest value? (a) 4 (b) 5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + 7bf?\nAnswer: 7bf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -1) + -5 + (-1 - -1)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*o**2 + 30*o**2 + 55*o**2 + (1 - 2*o - 1)*(0 + 2*o + 0) + 0 + 0 + 3*o**2)*(-2*o + 3*o + 0*o).\nAnswer: 74*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 21.8 * 0.030214\nAnswer: 0.6586652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.2 + 12.4158?\nAnswer: 30.6158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*m = -25 - 29. Solve -12 = 3*j + m*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**2 + 2*h**2 - 2*h**2)*(7*h + h - 26*h - 35*h).\nAnswer: -53*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.67 - 0.33. What is the third biggest value in 2\/7, -4, z?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 40, 44, -84, 1 in descending order.\nAnswer: 44, 40, 5, 1, -84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 187123 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 - (-106)\/10) + (-6)\/(-15). Suppose c*w - 9384 = 1407. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 16*k**4 - 128*k**3 - 300*k**2 - 196*k - 40 = 0.\nAnswer: -1, -1\/2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25.3 + 28. Let r = -1.7 + f. Put -3, 0.2, r in increasing order.\nAnswer: -3, 0.2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -7*a**2 + 1003*a + 46261. What is r(180)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, o: 1}. Give prob of picking 2 s.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of 0 + 1\/12*j**4 + 13*j**2 + 0*j + 1\/6*j**3. Determine u(-7).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 91.1769 litres to millilitres.\nAnswer: 91176.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 260 and 1196.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 189 + 38. Is 22 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 16.78796 to three decimal places.\nAnswer: 16.788","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1184 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 31, -31, -4, -2, 29, 1 in descending order.\nAnswer: 31, 29, 1, -2, -4, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 + 4*w**2 + 23*w - 12. Let p be u(7). Put 0, p, 1 in decreasing order.\nAnswer: p, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 17593774 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3404 and 230288?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 72.9 + -72.8999919. Round t to 5 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 136997 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -41442 or -41404?\nAnswer: -41442","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 74\/946619?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 270 - 249. Suppose 0 = -6*i + 45 + v. Calculate the remainder when 51 is divided by i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -3*b + 44. Calculate i(13).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 796515567?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -d**3 - 1086*d**2 + 4356*d - 4360 = 0.\nAnswer: -1090, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 5*i = 2*k - 1100, -4*i - 16 = 0. Let t = -297 + k. Does 3 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-967)\/2)\/((-3)\/6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*f - 151 + 43 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 3:10 AM?\nAnswer: 7:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o - 307. Let q(h) = -h - 156. Calculate -5*q(d) + 2*t(d).\nAnswer: 3*d + 166","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 673, -508, -4 in ascending order.\nAnswer: -508, -4, 673","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 28 - 32. Let k be (-7 - -4) + 53 + n. Let x = 185\/4 - k. Sort x, -2\/5, 0 in decreasing order.\nAnswer: x, 0, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**3\/9 + 716*d**2\/9 - 6298*d\/9 + 5584\/9.\nAnswer: -2*(d - 349)*(d - 8)*(d - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) -0.19 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1\/37 - 57\/740. Let j(a) = -a**2 + 4*a - 9. Let l be j(7). Let f be 1\/5 - (-36)\/l. What is the second smallest value in f, n, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*n - 7*n + 6*n + (4*n + n - 4*n)*(3 - 4 + 3) + n + 0*n - 6*n)*(2 + 1 - 2) + (1 + 3 - 6)*(-2*n - n + 0*n).\nAnswer: 14*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 159366 is divided by 4553.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4 - 16\/((-12)\/3). Is (p - -1)\/((-2)\/(-1022)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140215 is divided by 35004?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seventy-four fifths of a century?\nAnswer: 17760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 21*i + 200. Let p be d(-7). Suppose -13332 - 36912 = -p*k. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 2) to base 9\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -6 + (-5 - -6) + 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 4*z + 30 = 0, -i - 8 = -3*z - 2. Which is the closest to i? (a) -1\/4 (b) -4 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2173*v**2. Let a(x) = 99591*x. Give n(a(y)).\nAnswer: 21552612101613*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 13 - 9 - 12 - (-10 + -2)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 17963, 30146, 42329?\n\"Answer: 12183*d + 5780","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28885 is divided by 255.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2944\/(-832) - 6\/13?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 204*d**3 + 1941*d**3 - 108*d**3.\nAnswer: 2037*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-50)\/(-40) + 2\/8*-1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 to the power of 1\/2, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -2*y - 7. Let o(h) = 0 - 27*h + 2 + 28*h. Let s(w) = 2*m(w) + 7*o(w). Let z(a) = 2*a**2. Calculate z(s(i)).\nAnswer: 18*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -l - 27, -3*l - 5*s - 53 + 23 = 0. Calculate the common denominator of 137\/6 and ((-489)\/l + 3)\/4.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12 - 34*y + 37*y**2 - 1\/2*y**5 - 39\/2*y**3 + 5*y**4.\nAnswer: -(y - 3)*(y - 2)**3*(y - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5770663 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -31 - -34. Let i = -27 + 21. What is the third biggest value in r, i, -0.2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*h\/(h**(-16)\/h))\/(h*h**(-15))*(h\/(h**(1\/6)*h))**(-7\/3) assuming h is positive.\nAnswer: h**(619\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -163828*o**2 + 161457*o wrt o.\nAnswer: -327656","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-131*y + 99 - 99)*(-2 - 3 + y + 4) to u + m*y + s*y**2 and give s.\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 18960863\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 3039727?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*a = 73*a + 6 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 29, 22, 21, 32, 61, 114, 197?\n\"Answer: x**3 - 3*x**2 - 5*x + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (272\/(-425))\/(30*50\/(-625))?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, -0.01, 1, 2\/37, 16, -3 in decreasing order.\nAnswer: 16, 1, 1\/2, 2\/37, -0.01, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -2*y**2. Let g = -6 + 21. Suppose v - g = -5*l, -l - 2*v + 2 = -1. Let m(i) = -l + 11*i + 5 - 2. Calculate s(m(x)).\nAnswer: -242*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44894781 divided by 7.\nAnswer: -44894781\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -31536, -63003, -94470?\n\"Answer: -31467*b - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -130297 + 260584 - 91*b - 130287 + 6*b.\nAnswer: -85*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = k, 4*o = -5*k + 4 + 7 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 57\/(-6)*(-51)\/((-1785)\/70)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14\/11 - -68\/33. Let o(p) be the first derivative of 0*p**2 - u*p**3 - p**4 + 0*p - 7. Find the third derivative of o(h) wrt h.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 7*z - 6. Let g(o) = 15*o - 13. Let w(h) = -6*g(h) + 13*k(h). Give w(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - b**2)*(8*b - 22*b + 29*b)*(2 - 4 + 3)*(-4 + 3 + 2) to the form q*b + t + u*b**2 + x*b**3 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.987 rounded to one decimal place?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18499\/5912 + -3\/739. What is the common denominator of u and 50\/21?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.03 and -2454769?\nAnswer: 73643.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aasaeeasqssssacsas. Give prob of sequence qe.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 598\/(-234)*(15 - 24)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/16 and (-6780)\/(-672) + (-2)\/(-7).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 1:13 AM?\nAnswer: 5:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 4*k + 33 = -0*k, 3*q + 2*k + 43 = 0. Let u(m) = -m + 7. Let j be u(5). Is (q\/j)\/((-3)\/42) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 5:28 AM?\nAnswer: 10:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*m - 90 = -45. What is the fourth smallest value in 0.4, -1\/7, m, -0.5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13? (a) -0.3 (b) -1 (c) 2\/49\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4196970282 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -310603 (base 8) to base 11.\nAnswer: -70253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5.13 * 3.3.\nAnswer: 16.929","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -79.02155 - 0.06845. Round b to the nearest integer.\nAnswer: -79","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-115)\/69)\/((2\/3)\/(-2)). Suppose -5*r + 623 = 2*f, 0*f + y*r + 289 = f. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -139 divided by 9\nAnswer: -139\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -17\/4*y**4 + 13\/2*y**2 - 3\/8*y**5 + 5\/2*y - 35\/8*y**3 + 0 = 0?\nAnswer: -10, -2, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 25 - 4 = -x, x + 4*i = -57. What is the common denominator of (0 - x\/32) + (-77)\/154 and 77\/24?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -850, -1705, -2562, -3421?\n\"Answer: -u**2 - 852*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((33\/231)\/(1*8\/(-28)))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, 22917, 2, 5.\nAnswer: -5, 2, 3, 5, 22917","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 a when two letters picked without replacement from {b: 5, a: 15}?\nAnswer: 15\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4242.226 millimeters in kilometers?\nAnswer: 0.004242226","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17*h**3*o**3*u - 24*h**3 - 15*h*o**3*u + 5*h*o**3 - h*o*u wrt u.\nAnswer: 17*h**3*o**3 - 15*h*o**3 - h*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31126220.\nAnswer: 2, 5, 47, 33113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53.26899mg to tonnes.\nAnswer: 0.00000005326899","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 78 + 318 = 0. Let w be 0 + 1 - (-7 - -2). Calculate the greatest common divisor of w and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -2*q**3 - 3*q + 1. Let x(s) be the third derivative of -s**6\/120 + s**3\/6 - 14*s**2 - 7. Calculate j(p) - 3*x(p).\nAnswer: p**3 - 3*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*(v*v**(-1))\/v)\/v)\/v)**14\/((v\/((v*v**4\/v)\/v))\/(v**(2\/15)\/v))*(v*v**(-2\/13)*(v**(-5\/4)\/v)\/v)**(-3\/16) assuming v is positive.\nAnswer: v**(-329671\/12480)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f**3 + 2*f**2 + 6*f - 56. Let a(v) = 2*v**3 + 3*v**2 + 4*v - 57. Let n(g) = -2*a(g) + 3*c(g). Find the first derivative of n(i) wrt i.\nAnswer: 6*i**2 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/3486 and -7\/47310.\nAnswer: 331170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fdfndfd. Give prob of picking 2 d and 1 n.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -7\/104 (b) -1\/4 (c) -4 (d) 5 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -79 - cb7?\nAnswer: -d52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -18, 773 in decreasing order.\nAnswer: 773, 18, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 5*i + 1. Let v be u(-3). Let n = 17 - v. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10620.\nAnswer: 2, 3, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/17)\/g)**14 assuming g is positive.\nAnswer: g**(-224\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 0 - 2 + 13*b**2 + 0 + 3*b**3 + 29*b**3. Let r(w) = 95*w**3 + 39*w**2 - 7. Let l(n) = 2*r(n) - 7*s(n). What is the third derivative of l(m) wrt m?\nAnswer: -204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, -31, -84, -187, -358, -615?\nAnswer: -976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 266*p - 90968. Determine h(339).\nAnswer: -794","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 124932?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -29*a**3*h**2 - 4*a**3*h - a**3 + 228419*a**2*h**3 + 37*a**2*h + 58*a*h + 4*h wrt h.\nAnswer: -58*a**3 + 1370514*a**2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00561051 rounded to three decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -135*n**3*v**4 - 2*n**3 + n**2*v**4 + 5 wrt v.\nAnswer: -540*n**3*v**3 + 4*n**2*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 2*s - 1186 = -4*j, 608 = 2*j + 2*s. What are the prime factors of j?\nAnswer: 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/45 and (300 + -423)*1\/(-135).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9055*1.\nAnswer: 9055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fifty-five quarters of a hour?\nAnswer: 825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of -4*n**5\/5 - 5*n + 6. Differentiate t(y) with respect to y.\nAnswer: -16*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of b**7\/210 + b**6\/60 + b**5\/60 + 2*b**2 + 3. Let i(q) be the second derivative of k(q). Factor i(r).\nAnswer: r**2*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -12*a**3 + 4*a**2 + 4*a + 4. Let p = 12764 - 12765. Let f(b) = b**3 - b**2 - b - 1. Determine p*x(c) - 4*f(c).\nAnswer: 8*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*m - 64 + 64 + 69*m.\nAnswer: 56*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 14*(-22*(-1)\/(-4) - -6)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -352 = -263*t + 261*t. What is the greatest common divisor of 22 and t?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -63 by 4.\nAnswer: -63\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together 79125906 and -0.2.\nAnswer: 79125905.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-2\/9))**(-2\/7)*l**15*l\/((l**(-2\/27)\/l*l*l)\/l) assuming l is positive.\nAnswer: l**(428\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -7\/6, -5, 61, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {l: 6, o: 3, p: 4}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 + -0.2544?\nAnswer: 242.7456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 6, g: 2}. What is prob of picking 1 g and 2 p?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s**2 - 28011*s + 28011*s.\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 279*p**2 + 736*p**2 + 3*p + 575*p**2 + 77*p**2 + 276*p**2 as q + g*p + i*p**2 and give i.\nAnswer: 1943","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 110 divide 249400?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -26*p - 109. Let x(d) = 11*d - 137. Let o be x(12). Calculate the remainder when 56 is divided by w(o).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert b (base 15) to base 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(114)*-2)\/(sqrt(726) + -2*sqrt(726)).\nAnswer: -10*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -2*l**2 + 12*l**3 + 1 - 2*l**2 + 30*l**3 - 2*l + 2*l**3. Let q be f(-2). Let x = q - -1213. Round x to the nearest one hundred.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 187*s + 1717 = -4080 for s.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -11*f**2 - 15. Let k(i) = 6*i**2 + 7. Suppose -8*q + 6 = -5*q. Let x(z) = q*h(z) + 5*k(z). What is the derivative of x(o) wrt o?\nAnswer: 16*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-7)\/9 - -1*1. Let s = -38.5 + 39. Let h = 0.05 - 0.45. What is the smallest value in k, s, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1776952146?\nAnswer: 2, 3, 83, 1877, 1901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 2*s - 4 = -3*s, -4*h - s = 8 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -2*z - 16. Sort -1, z, 1 in decreasing order.\nAnswer: z, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 768, 1019, 1272, 1527?\n\"Answer: m**2 + 248*m + 519","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -69 + 70 - (-68 + -2) - (13 - (1 + 15))?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -3*j**3 + 2*j**2 + 9. Let i be v(-3). Let w = -51 + i. Calculate the highest common factor of 114 and w.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 17124 and 25686.\nAnswer: 51372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1267, -2644, -4021?\nAnswer: -5398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 3*m**2 - 6. Let p(r) = -r**2 + 3. Let a(q) = -3*h(q) - 6*p(q). Let s(v) = 22*v**2 - 4. Give a(s(t)).\nAnswer: -1452*t**4 + 528*t**2 - 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 - 7.5. Let z be 0 + 2 + 65\/3. Let n = 25 - z. Sort h, n, 0.1 in increasing order.\nAnswer: h, 0.1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = 1889 - 1865 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -194572698 to the nearest one hundred thousand.\nAnswer: -194600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -21*y - y - 16*y + 40*y - 281 - 43*y**3 wrt y.\nAnswer: -129*y**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 21\/5 of a week?\nAnswer: 42336","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (1 + 8 + -6 - 10) + 4 + 8\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 12, 0, -1\/2, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 119351141 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -3 + 4 + (3 + -5 + 0 + sqrt(171)*-3)**2.\nAnswer: 36*sqrt(19) + 1542","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-924)\/847 + (-40)\/44.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 - p - 2. Let q be g(4). Let n(h) = -3*h**2 + h + 3. Let u(x) = -5*x**2 - 8*x - 3. Let c(o) = -2*n(o) + u(o). Give c(q).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -829, -843, -871, -919, -993?\n\"Answer: -z**3 - z**2 - 4*z - 823","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 75 - 14. Let y(l) = -6*l**3 - l**2 + 1. Let v be y(-1). What is the common denominator of (-3)\/(-8)*k\/v and 49\/10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 - 11*n**2 + 47*n - 263. Let z be w(9). Which is the closest to 0.1? (a) 1\/4 (b) 75 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3 + 2)*(25 - 24). What is the nearest to d in 0.2, -2\/5, 5.5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -647 divided by -100023\nAnswer: 647\/100023","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, p: 2, f: 2, a: 1, c: 1}. Give prob of picking 2 u.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 8, 3\/8, -13, -8.464, -0.06?\nAnswer: -8.464","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 878.1 less than or equal to 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 104*j**2 + 1985*j + 142. Determine r(-19).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1062918 and 66.\nAnswer: 11692098","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (-7 + -12 + 10).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 1*sqrt(180)*1 + 3 - (sqrt(180)*-4 + -1 + (-3*sqrt(180) - sqrt(180)) + -4))**2.\nAnswer: 1296*sqrt(5) + 14724","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 124 + 120 + 7671*q - 143 - 101 in the form d*q + o and give d.\nAnswer: 7671","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 32692+0.0796\nAnswer: 32692.0796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 96 = 3*x - 6*x, 5*g + 32 = x. What is the highest common divisor of 16 and x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*14\/4 - (-297)\/(-54).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*a**2 - 71*a**2 - 948*a**2 + 1268*a**2.\nAnswer: 200*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*p**3 + 4*p**3 - 3*p**3 + 3*p**3 - p**3.\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.08 and 4.1.\nAnswer: -0.328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 7064 + 5104 = 0. 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: Round -37959.3614 to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -161 - -165. Calculate the greatest common divisor of 4 and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, g: 1, t: 1}. Give prob of sequence fgft.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k + 1. Let m(l) = 3*l**3 - 16*l**2 + 4*l - 6. Let y(c) = -m(c) + 2*z(c). Let i be y(5). Solve 6*o = i*o - 12 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 70202325?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 56740419?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + -2335?\nAnswer: -2335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*v**2 - 22322*v + 9564 = 0 for v.\nAnswer: 3\/7, 1594","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2 + 8*p. Let x be u(7). Suppose x*w - 6*w - 2 = 0. Determine i, given that -1 - 7 + w*i**3 + 8 + 8*i**2 = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5027 divided by 105.\nAnswer: -5027\/105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of -p**5\/20 - 4*p**4\/3 - 4*p**3\/3 - 15*p**2\/2 + 10*p. List the prime factors of r(-16).\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -422 + 374. Suppose t + 4*t = -245. Which is smaller: j or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -12*r**4 + 2211*r**3 - 543*r**2 - 1656*r = 0.\nAnswer: -3\/4, 0, 1, 184","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -421293161 > -421293161?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -66*k**2. Let s(f) = 2998*f. What is s(g(u))?\nAnswer: -197868*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1c + aa3c7?\nAnswer: aa3a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 57823 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(207\/276*4\/33))\/(5\/10)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2447317 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7.5 + -3. Let f = -11 - y. Which is the nearest to 2\/5? (a) f (b) 2\/15 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 111 - 38. Suppose -5*j - m = -228. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -27 and 22.26.\nAnswer: -601.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((1*sqrt(570))\/sqrt(10))\/sqrt(3) + 1.\nAnswer: 1 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/(-7) + 2\/(-8). Suppose 0 = n + 3*n - 20. Do n and b have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*y**2 - 600*y = 0. What is y?\nAnswer: -120, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - -12)*(20 + -18). Suppose 0 = -f*s + 29*s - 1203. Suppose s = 2*d - 1181. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 220*a - 225*a + 215. What is the highest common divisor of 387 and a?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 4*n - 15 + 2 = 0, 0 = 5*t - n - 14. Let w(m) = 6*m**2 - m**2 - t + 3. Let u(d) = d. Give u(w(o)).\nAnswer: 5*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2069, 9571, 22075, 39581, 62089, 89599?\n\"Answer: 2501*b**2 - b - 431","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 5*r**2 + 6*r + 823. Let c(v) = v**2 + 2*v - 1. Give -3*c(i) + x(i).\nAnswer: 2*i**2 + 826","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 6 - -7) + (1 - 3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 4*f - 2754, 2*m - 6*f + 3*f = 1836. Is 919 less than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 32 and 156.\nAnswer: 1248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 - 3*x + 5. Let l(r) = r - 2. Let n(f) = -2*c(f) - 5*l(f). Let w be n(4). Let v = -13 - w. Calculate the remainder when 29 is divided by v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.038 and -112.3.\nAnswer: -4.2674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 5) + 0*(-4)\/16?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -u**4 + 12 - 3*u - u**4 + 2*u in the form j*u**4 + n*u**2 + c*u + p*u**3 + x and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-190)\/(-114))\/((-1)\/6)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 432 and 4355064.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 + 9*w**2 + 2*w - 13. Let b(k) = 2*k**3 - 17*k**2 - 5*k + 25. Let v be (4 + (-87)\/6)*(-8)\/(-12). Let h(a) = v*i(a) - 4*b(a). What is h(6)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 15 = -5. Let m be 1\/5 - (-19)\/5. Suppose m*d - 19 = -0*d + 5*g, -4*d - g = -1. What is the smallest common multiple of u and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**2 - 22840758*z + 43475018834547.\nAnswer: 3*(z - 3806793)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 + 56 = 4*g, -2*g = -11*t + 34664. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 52 + 535362?\nAnswer: 535444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the third derivative of l**4\/24 - 2*l**3\/3 - 552*l**2. Calculate f(13).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 492748 is divided by 61583.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, -2.109, -1\/2, 2.6, 0.1, -67?\nAnswer: -2.109","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of 2*k**6\/45 - k**4\/24 - 4*k**3\/3 + 16*k + 89. Let p(v) be the third derivative of f(v). Determine p(-1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from haahahho. Give prob of sequence hhho.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**1*h*h)**(-3\/14) assuming h is positive.\nAnswer: h**(-9\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1110001022101002 - -21?\nAnswer: 1110001022101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, l: 2, x: 4, v: 1}. Give prob of sequence vll.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 7 = -4*z, 0*z - 23 = z - 4*t. Find the common denominator of -19\/22 and (-3)\/(-6)*23\/z.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 2*k + 17, 4*b - 107 + 28 = -3*k. List the prime factors of b.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26109279?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = -d - 4*d. Let t = -13 - d. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 - 32*f**2 + 32*f - 28. Let a be j(31). Let k(l) = 3*l + l**2 + 0 - 2*l**2 + 4. Let r be k(a). Solve q = 2*u - 6*u + 13, 16 = -2*u + r*q for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 2 = -2*h, 0*h = -4*h - 3*z + 4 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 3)*(-6*b + 0*b + 3*b)*(2 - 5 - 3).\nAnswer: 36*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1675, -2885, -4095, -5305?\nAnswer: -6515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1*((-108)\/(-30))\/9\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 32594 and 44?\nAnswer: 717068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 104*w**3 - 4153*w + 1 - 525*w + 304*w**3 + 504*w**3 wrt w.\nAnswer: 5472*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o - 139297 = 5717 - 15984. Are -12904 and o unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1304 - 2615566?\nAnswer: -2620203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -166, -904, -1642, -2380, -3118?\nAnswer: -3856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -149\/22002 and 16\/473043.\nAnswer: 946086","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/6, -5, 1 in decreasing order.\nAnswer: 1, -1\/6, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 12:23 PM?\nAnswer: 6:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of -j**6\/120 - 271*j**5\/20 - 659*j**4\/12 + 581*j**2 + 2. What is the second derivative of m(b) wrt b?\nAnswer: -6*b - 1626","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + -204988?\nAnswer: -204983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 25787 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 7 (c) 343.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -477 divided by -477?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.8148 - 0.6148. Let m = 0.1 - -0.3. What is the nearest to -1\/3 in 3, m, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 15) to base 2.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -261456 by 8.\nAnswer: -32682","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 4210 - 2*l**2 - 4210. Let a(o) = 490*o. Give a(n(w)).\nAnswer: -980*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2961911 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n**(-2\/15)*n\/(n*(n**(-1\/5)\/n)\/n)*(n**0)**(-27) assuming n is positive.\nAnswer: n**(46\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1021, 990, 939, 868, 777, 666?\nAnswer: 535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y**3 - 14 + 6 + 15 + 6.\nAnswer: y**3 + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, k: 1, j: 6, o: 3, u: 4}. What is prob of sequence ujwk?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3141004432 + 14?\nAnswer: -3141004414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20913647*0.3.\nAnswer: -6274094.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 AM and 9:35 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 65 - 62. Let a be v + ((-5)\/(-5) - 0). Solve 0*z - 4*z = -a for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 786 and 2?\nAnswer: 786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 3 - 3 + 8 + 300*l.\nAnswer: 300*l + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 144c052 (base 14) to base 9.\nAnswer: 20508584","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1058*c = 1046*c + 60 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 + (-6)\/7)*14. Let w be 3\/(l\/(-2))*0. Suppose w = -5*k + y + 6, -k - 2*y - y + 14 = 0. Solve k + 2 = -i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 - (-157 + 15\/5). Let v = t + -106. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -282, -53, 2, -5, 4 in increasing order.\nAnswer: -282, -53, -5, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-4 + (0 + sqrt(208))**2).\nAnswer: -1224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-144)\/(-168) - (1\/1 + (-30)\/14). Let n(k) be the second derivative of 25*k + 6*k**3 - 39\/2*k**d + 0. What is the first derivative of n(y) wrt y?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1117302 is divided by 964?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 55\/2 of a meter?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12848?\nAnswer: 2, 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-14668)\/(-20) + 10\/(-25)?\nAnswer: 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-1020)\/75)\/((-4)\/30)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 560784 a multiple of 336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2727 is divided by 1293.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30488171?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 12 = 0, -10*m + 7*m - 28 = -2*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 596*y + 23846. What is h(-40)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 5*q + 10, 2*q + 0 = a + 1. Let o = 1 + -1. Put o, 5, q in descending order.\nAnswer: 5, q, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*v - 411 - 1206 = 0. Calculate the greatest common divisor of v and 84.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0\/2 - 0)\/(-1). Let p be (4 - (3 - -2))\/((-1)\/2). Suppose n - p*n = h, -66 = -3*i + 4*n. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 164*p**3 + 14*p - 14*p - 113*p**3 - 95*p**3.\nAnswer: -44*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -10 + 18 + -11\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 31 + -18. Let n be 39 + -45 - 12\/(-2). Suppose -7*c + j + 8 = n. Solve -4*h + c*h = -1 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22409 - -134435\/6. Which is the biggest value? (a) 0.09 (b) w (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 PM and 4:08 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.093 (b) -5 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2087.\nAnswer: 2087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.075 + 0.04. Let k = -0.014 - q. Round k to 2 decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (139707\/(-1548))\/((-38)\/8)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 10 + -9 - ((11 - -1) + -4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbfbuffuuuuu. What is prob of sequence uub?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*n + 14 = 17*n. Solve 0 = -5*s - 2*o - 10, -3*s - n*o - o - 6 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -8*c - 7. Let y be j(-3). Let x = -7 + y. Suppose l = 27 + 3. Calculate the greatest common divisor of x and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10009 equal to 67?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -q + 5*x, 4*q - x + 2 + 5 = 0. Let z be q - -5 - (1 - 0). Factor -6*b + 15\/4*b**2 - 3\/4*b**z + 3.\nAnswer: -3*(b - 2)**2*(b - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4128 * -302734\nAnswer: 124968.5952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6 - 9\/(189\/111))*7. Solve -p*w = 3*u - 11, 2*w - 3*u - 10 = -14 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 24 = 26. Solve h*m - 5*c - 12 = 4, -4*c - 20 = -4*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-336)\/(-288))\/(14\/6). Which is the smallest value? (a) -27 (b) -4 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*n = 10*n - 3*c - 80 - 26, 3*n - 188*c + 181*c = 209 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 463479530875 less than -2.8?\nAnswer: -463479530877.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(3 + (0 + sqrt(80) + -5 - (5 + -2*sqrt(80))) + (-3*(sqrt(80) + -3*(sqrt(80) - (sqrt(80)*-1 - sqrt(80)))) + -3)**2).\nAnswer: -1692*sqrt(5) + 138246","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -b + 190713, -69*x = -66*x - 3*b - 190713. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 620*v**2 - 2 - 328*v**3 - 152*v**3 - v**4 - 617*v**2 as y*v + p*v**3 + s*v**4 + u*v**2 + c and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*s = 16*s - 4. Suppose 4*d + 0 = -3*n + 2, -n = -s*d + 6. Let l(b) = -b**2 - 9*b - 8 - b**3 - 6*b**d + 1 - b**2. Determine l(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10\/3 - 11\/3. Sort -0.08, c, 2 in descending order.\nAnswer: 2, -0.08, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26831?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -937789 or -937791?\nAnswer: -937789","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*a - a. Let d be 8 + (0 - -1) + -5 - 4. Suppose d = -5*s + o - 2, 4*o = s + 6*o - 4. Solve s*j - a = -j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1840.6 rounded to the nearest ten?\nAnswer: -1840","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q + 1. Let t be d(-4). Let y(n) = n - 2. Let l be y(t). Suppose 5*i - 30 = l*i. List the prime factors of i.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -322*q**2 - 200*q**2 - 7*q - 49*q**2 - 27 - 25*q**2.\nAnswer: -596*q**2 - 7*q - 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 94022, 187440, 280858, 374276?\nAnswer: 467694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 + 16*b + 3*b.\nAnswer: 19*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 407337.3 litres?\nAnswer: 407337300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j**3 - 8*j**3 + j**3)*(-2*j + 2*j + 2*j + (6*j + 0*j + 6*j)*(-4 + 4 - 3)).\nAnswer: 306*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 30 divided by 12\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 15 = c - 3, -3*k + 24 = 5*c. Solve 2 = -2*p + k*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 661660122.00000342 + -661660133. Let w = -10.97 + -0.03. Let z = w - c. Round z to 7 decimal places.\nAnswer: -0.0000034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 428447 + -300190. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 71*w**2\/7 - 73*w\/7 + 2\/7.\nAnswer: (w - 1)*(71*w - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 4*j - 35 - 53, 3*j = -2*o + 36. Let g = -21 + o. Factor -85*l**3 - 4*l**2 + 43*l**g + 4*l**4 + 42*l**3.\nAnswer: 4*l**2*(l - 1)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5368 is divided by 1321?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 4\/9 (b) -5 (c) 2\/23 (d) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 137\/8 + -17. Which is the closest to 0.2? (a) y (b) -5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55 = 5*m - 5*n, -288*m + 574*m - 3*n - 2*n = 282*m + 59 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = 2*x - 3*q + 8*q, 0 = -2*x - q - 17. Let y(r) = 86*r**3 + 0 - 1 - 8*r - 85*r**3 - 89*r**2 + 33*r**2 + 28*r**2 + 33*r**2. Calculate y(x).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1193 - -279. Does 60 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 489274425 to the nearest integer?\nAnswer: 788","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 3*z - 1. Let h(o) be the third derivative of 5*o**4\/24 - o**3\/3 - 16*o**2. What is 9*b(a) - 4*h(a)?\nAnswer: 7*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -2*p**2 + 26*p + 4. Let r be i(13). Which is the closest to -1? (a) 0.06 (b) -5 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 272 and 10972684?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 = 3*k + 5*k. What is the remainder when 18 is divided by k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 937?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 748183522.\nAnswer: 2, 673, 555857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107*z = 110*z - 5*y + 7, 4*z - y - 36 = 0. Solve 33 = 11*o + z for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*l, l + 3*l + 5 = q. Let c be 3*q*(-10)\/(-6). Let x be -2 - 2 - (2 - c). Which is smaller: x or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - u = 1077 + 84, 2*u - 1448 = 5*h. Let v = h - -295. Solve -3*i = -v*j + 5 + 6, 29 = 3*i + 5*j for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 3855872\/15 and 257059 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*j**3*l**4 - j**3*l + 48*j*l**4 + 208*j*l**2 wrt l?\nAnswer: -48*j**3*l + 1152*j*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 564 + -533. Put -5, -1, p in decreasing order.\nAnswer: p, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 3 d when four letters picked without replacement from {d: 6, f: 2, q: 2, s: 1}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + -40050323?\nAnswer: -40050330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + 4, 2*g - 20 = 4*y - 2*g. Let n = y - -16. Solve 3*z - 5 = n for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p. Let g(k) = 3*k - 47. Let c be (-33)\/(-2) - 39\/(-26). Let t be g(c). Let q(h) = -5*h + 22*h - t*h. Calculate q(a(f)).\nAnswer: -10*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 207 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2254945, -9019804, -20294569, -36079240, -56373817, -81178300?\n\"Answer: -2254953*u**2 + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 1944.\nAnswer: -5\/1944","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1154 divided by -189.\nAnswer: -1154\/189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 - 2*k - 5. Let s be x(4). Let c(j) = j**2 - 24*j + 80. Let g be c(4). Suppose -2*q + f + 63 + 63 = 0, -s*f = g. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2 + 0 + 0)*(1 - 6 - 1) + (3 - 3 - 1)*(-4 + 0 - 1))*(-12302 + 12302 + 108*r) to c*r + d and give c.\nAnswer: -756","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 180151\/329 + (-3 - -2). Let u = o + -547. What is the nearest to 0 in -2\/31, u, 0.4?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uumm when four letters picked without replacement from {m: 6, u: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from uwuwuuuuuwuwuu?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - 11000100111?\nAnswer: -11000101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: e6b (base 16) to base 3\nAnswer: 12001201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.95803 + -0.04197. What is the nearest to 0.1 in -38, 1, 0.4, z?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1729 divided by 12416?\nAnswer: 1729\/12416","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*j + 17*j + 5*j.\nAnswer: 10*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5\/(-2)*(2 + -4). Let u be 204\/(-21) - 2\/7. Let m be (30\/4)\/((-5)\/u). Solve m - 5 = 3*c - 2*t, 5*c = -v*t + 25 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/51, 3\/10, 0.4, 0.2?\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5462*m**2 + 9185*m**2 - 4541*m**2 + 8220*m**2)*(6 - 3 - 2) to u*m + o + i*m**2 and give i.\nAnswer: 18326","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-6*(-2*(-1 + sqrt(117)*1) - -2*(sqrt(117) + 0 + sqrt(117) + 1 + sqrt(117) + sqrt(117))))**2.\nAnswer: 5184*sqrt(13) + 152205","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -140143 (base 6) to base 14.\nAnswer: -4a63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1484.332 meters in millimeters?\nAnswer: 1484332","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.012 - 4.988. Sort b, 3, -0.4, -4\/5 in ascending order.\nAnswer: b, -4\/5, -0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59542?\nAnswer: 2, 7, 4253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4 - (1898\/(-78))\/(7 - 1). Let b(s) be the first derivative of 0*s + o*s**3 + 0*s**4 + 0*s**2 - 1\/30*s**5 + 11. Determine r, given that b(r) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of 167*f**2\/2 + 9*f - 351. Differentiate z(h) with respect to h.\nAnswer: 167","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*t + 27*t + 1815 = 0. Suppose -49*m + 1125 + t = 0. Is 2 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, 5, 35, -1 in increasing order.\nAnswer: -5, -1, 2, 5, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 91*g**3 + 6*g**2 + 6. Let y(v) = -546*v**3 - 35*v**2 - 35. Determine 35*u(h) + 6*y(h).\nAnswer: -91*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 24564966 or 24564960?\nAnswer: 24564966","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 12040800977 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 255, -1, -3, -5, 1194829 in increasing order.\nAnswer: -5, -3, -1, 255, 1194829","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 13*t**2 + 21*t - 965. Let a(u) = -3*u**2 - 5*u + 241. Let y(o) = 9*a(o) + 2*v(o). What is the hundreds digit of y(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51770325683 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - z = -995, -3*g + 2*z - 1026 = -4016. Let w = g - 587. Is w a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, i: 3, m: 2, r: 1, n: 3}. Give prob of picking 1 l and 1 n.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 5*z**2 - 650*z + 11880 = 0.\nAnswer: 22, 108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 96 - -14 - (-14 + -1 - (26 + -37))\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j + 0*j + 10*j**2)*(-5*j + 3*j + 5*j) + 2 + 146*j**3 - 155*j**3 + 5*j**2 - 2*j**2.\nAnswer: 21*j**3 + 3*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -2\/13, -0.1, -1\/4, 1\/23126?\nAnswer: 1\/23126","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 352 + -2111\/6. Let s = -138 + 688\/5. What is the closest to -0.2 in 0.3, s, d?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the third derivative of -9*b**2 + 0*b**3 - 1\/4*b**4 - 3 + 0*b - 1\/20*b**5. Solve t(p) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -39*x**2 + 5*x**3 - 2*x**3 + 8*x - 4*x**3 + 4 + 40*x**2 to q*x**3 + a + m*x**2 + t*x and give t.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 + 2*o - 18. Give j(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 0 (c) -33 (d) -1\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + (-160)\/(-45) - (-4)\/9. Let q(t) = -t**3 + 2*t**2 - t + 1. Calculate q(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17.997 - 17.9978353. Round x to five dps.\nAnswer: -0.00084","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -4*b**2 + 6*b - 14. Let o(a) = 3*a**2 - 7*a + 14. Let q(r) = 5*o(r) + 4*t(r). Let d be q(-10). What is the highest common divisor of d and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/313 and -27*(-11)\/(-121) + (-10)\/(-2)?\nAnswer: 3443","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118 = q - 22. Let g(k) = -k**3 + 20*k**2 + 18*k + 60. Let o be g(21). What are the prime factors of 3\/(-1*o\/q)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -119, -123, -129, -137?\n\"Answer: -d**2 - d - 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and -175.2.\nAnswer: -525.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 139705145 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119*j - 356376 - 33587 = 0. List the prime factors of j.\nAnswer: 29, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 - 2*i - 1. Suppose 0*a - 4 = 2*a. Let w be y(a). Suppose 0 = u + 4*g - 22, 0*g = -5*u - 2*g + 20. Put u, 3, w in ascending order.\nAnswer: w, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 60620 and 515620?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 z when three letters picked without replacement from qzzq.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -31 - -19. Let v = -112.69 + 2.69. Let b = v + 109.9. What is the nearest to b in 2\/5, j, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3*(5\/30)\/((-1)\/2). Let u(x) = -212*x**3 + x. Is 9 a factor of u(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 255181 is divided by 3261?\nAnswer: 823","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*t = -43*t - 16. Let x be 36*(t\/6)\/(-4). Solve 2*u - 6*q = -q + x, 6 = -4*u - 5*q for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8b55a2 (base 12) in base 10?\nAnswer: 2228234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 2*r = 224, 0 = -2*n + 7*r - 3*r + 98. Which is bigger: n or -158?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-44 - (-8 - -10)) + 39\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 2211, -3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-92)\/1150)\/(1*(-9)\/(-9)).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -108*l + 405*l - 252 + 253. Let c be t(1). Suppose -1073 = -3*r + c. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -2\/5, -5, -11\/4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 1:52 PM?\nAnswer: 4:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -10752, -22607, -34462?\n\"Answer: -11855*y + 1103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 2.2?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 10100101001100100100010 (base 2) in base 12?\nAnswer: 1990742","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 189\/42 - (2 + (-3)\/2). Let d(b) be the first derivative of -1\/2*b**2 - 5 + b**3 - 1\/4*b**o + b. What is d(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: -24573 divided by -8191\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -196 - 92 = -48*y for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 5*sqrt(6)\/sqrt(3))**2 + -3 + (sqrt(2) - ((sqrt(2) - (0 + sqrt(2))) + -1)) + 5*(1 + sqrt(72) + 0) + 5.\nAnswer: sqrt(2) + 67","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2.4 (b) -0.4 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*b + 66 = 106 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 3)\/(-1)*(-3)\/(-6)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 2 = 2*k, 3*k = -z + 4 + 7. Let g(b) = -4*b**z + 7 - 12 + 9*b + 5*b**2. Let x = 42 + -51. Give g(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 2784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -5*n**2 + 470*n = 0.\nAnswer: 0, 94","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 32 + -23. Suppose 0 = -j - 2*j + i. Is j != 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 42*v + 16. Let u(h) = 88*h + 35. Let m(l) = 13*p(l) - 6*u(l). What is m(-2)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the third derivative of -b**4\/24 - b**3\/6 + 4*b**2. Suppose -5*k - 2*f + 17 = 0, -69*k + 4 = -71*k + f. Let a(h) = h + 3. What is k*a(d) + 2*s(d)?\nAnswer: -d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 195 and 650.\nAnswer: 1950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*n - 27 - 75 + 13*n + 10*n + 10.\nAnswer: -5*n - 92","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4568 - 2995. What are the prime factors of f?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 3 + (0 + 4 - 2)*(2 - 3 + 2))*(9282*v + 1580*v - 2339*v).\nAnswer: 25569*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -785 (base 10) to base 14.\nAnswer: -401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10175462?\nAnswer: 2, 11, 29, 41, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-48)\/(-27))\/8)\/(-4*(-2136)\/864).\nAnswer: 2\/89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 23183\/(-291) + (-10)\/2*7\/(-21)\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d - 2*d - 54*d**2 + 164*d**2 - 118*d**2.\nAnswer: -8*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1362831 or 0.1?\nAnswer: 1362831","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 2*m - 5111, 4619 = -8*s + 4*m + 18247. List the prime factors of s.\nAnswer: 13, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -54216 - -921696\/17. Determine q, given that 8\/17*q**3 + 18\/17 + 2\/17*q**4 - 4\/17*q**2 - h*q = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -7*p + 1699. What is the units digit of c(-63)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 1848 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: What is the remainder when 2305 is divided by 788?\nAnswer: 729","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*g**2 - 28*g**3 - 6*g**2 + 57*g**3)*(341 + 47*g - 341).\nAnswer: 1363*g**4 + 47*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2248089252.\nAnswer: 2, 3, 3323, 56377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -10 + 6*d**2 - 4*d**2 + 13*d + 3*d**2 - d**3 + 2*d**2. Let t be j(8). Suppose 0 = -6*b + b + t. Calculate the highest common divisor of b and 48.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 4*n + 19 = 0, -3*n + 4 = q - 2*n. Suppose -q*a = a - 1284. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tdxxx. What is prob of sequence xt?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -810*k + 472*k - 420*k - 645*k. Let a(f) = 23*f. Determine -184*a(o) - 3*v(o).\nAnswer: -23*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 234\/(-52)*(-4)\/9. Let l be (3\/1)\/(3\/8). Solve x*j - 2*c + c = -6, l = -3*j + c for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -191 + 277. Let z be 14*(-1 + x\/14). What is the greatest common divisor of 24 and z?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 4*x = x + 27714, -x + 18475 = 2*b. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - 5521140?\nAnswer: -5521136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 74 + -20. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -4*m**2. Let j(z) = -6*z. Let c(a) = -30*a. Let u(i) = 5*c(i) - 24*j(i). What is k(u(p))?\nAnswer: -144*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 + 17. Suppose 0 = -2*y - 4*z + 9 + 15, -3*z = c*y - 32. Let x be (3 - 3)\/(y\/2). Solve x = n + 5*f - 4*f + 8, 3*f = -n - 14 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26251 = -11*o - 6011. Is o a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -22*n - 7. Let v be u(0). Let w(f) = 7*f + 39. Determine w(v).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 63919\/(-1559)*-2*1\/(-2).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2*c**3 - 6*c - 2*c**3 - 6 + c**3 - 3*c**2 + 0*c**2. What is the tens digit of y(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -249, -89, 181, 561, 1051?\n\"Answer: 55*l**2 - 5*l - 299","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 + 58*x**2 + x - 62. What is w(58)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -2*o**2. Suppose -10 = 4*p - 6*p. Let a(i) = -p*i - i + 3*i. Determine f(a(n)).\nAnswer: -18*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3187 + 3208. What is the remainder when z is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 93 - 54 = -5*m, -123 = -4*m - h. Let b be 10\/m - (-56)\/(-6). Let g(y) = 2*y**2 - 4*y + 1. Let v(c) = 8*c**2 - 17*c + 5. Calculate b*g(s) + 2*v(s).\nAnswer: -2*s**2 + 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 40 and 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and -148.41?\nAnswer: -74.205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -1 - 3 + 0 + 2*j - j**2. Let y(d) be the second derivative of 32 + d - 5\/2*d**2 + 1\/3*d**3 - 1\/12*d**4. Determine -3*h(u) + 2*y(u).\nAnswer: u**2 - 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*j - 3*j - 5*j)*((-6 + 2 + 3)*(-2 + 1 - 2) - 2 + 8 + 14 + (-2 + 0 + 3)*(6 + 0 - 3)).\nAnswer: -442*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -571*s + 1172*s + 168 = 573*s for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.04, -106, -4 in decreasing order.\nAnswer: 0.04, -4, -106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*r**5 + 1098*r**4 + 3821*r**3 - 6634*r**2 - 12552*r + 14272 = 0. What is r?\nAnswer: -4, -2, 1, 8\/5, 223","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -180\/47 <= -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 288 and 71964.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -18911, -18913, -18915, -18917, -18919, -18921?\n\"Answer: -2*i - 18909","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -1.22. Which is smaller: x or 1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 2 v when four letters picked without replacement from {k: 5, e: 4, z: 2, v: 4}?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {a: 4, x: 9, f: 1}.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -25 by -7.\nAnswer: 25\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -17b180 (base 15) in base 16?\nAnswer: -1190f4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 - p**2 - 77. Determine u(0).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + -12201?\nAnswer: -12202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -3*o, 3*f = -3*o + 9 - 21 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-188)\/235 - 98\/(-60))*18\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*i + 3*i + 84. Let q be ((-4)\/7)\/(8\/i). Suppose 0 = o - 8 - q. Is o a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1530 - 1526 - 1546 + 4582)*(-2*q + q - q).\nAnswer: 40*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 8, 2*v + 11*g - 14*g - 804 = 0. Calculate the remainder when v is divided by 57.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 + -5)*234\/(-27). Suppose 3*u - q + 6*q = -2, 0 = 4*u + 2*q + i. Let w(y) = -y**3 - 7*y**2 + 10*y + 5. Let l be w(-8). Is l > u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = -3*z + 11, 62*z - 66*z - 20 = -2*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 8.591689ml?\nAnswer: 0.008591689","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 2, 4, -5, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1140 - 852?\nAnswer: 5bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, 1, 6, 1900, -5, -7.\nAnswer: -7, -5, 1, 2, 3, 6, 1900","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8660708 to the nearest integer?\nAnswer: 2943","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 9*l - 9. Give r(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -24662943.39 rounded to the nearest one million?\nAnswer: -25000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 PM and 8:31 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 2*k**3 + 65*k**2 + 22*k + 95. Let s be t(-32). Calculate the greatest common factor of 15 and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1001323310330 - -100?\nAnswer: 1001323311030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/2036826 and 29\/925830?\nAnswer: 10184130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, -177, -648 in descending order.\nAnswer: 4, 2, -177, -648","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*w = 98, z + z - 2*w = 215 - 143 for z.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 167 (b) -306 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*51*(-222)\/((-481)\/13)*8\/36.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -362550399\/590 - -614492. Calculate the common denominator of 63\/65 and a.\nAnswer: 7670","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -o**4\/4 + 15*o**3\/4 = 0. Calculate o.\nAnswer: 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -20*o**3 + o**2 - 3*o - 4. Calculate the remainder when 32 is divided by g(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37.71671cm to millimeters.\nAnswer: 377.1671","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2171 + 2967 = 8*r - 6862. What is the highest common divisor of r and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 144\/2100*1725\/69. Solve -108\/7*k - 88\/7*k**3 + 152\/7*k**2 + 4 + 4\/7*k**5 + r*k**4 = 0 for k.\nAnswer: -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 378 + 5052 = 0. Is j a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, i: 4, o: 1, k: 1, r: 1}. Give prob of picking 1 r and 2 i.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 4*a - 85 = -133, 6*a - 76 = 2*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j + 3*j**4 - 4791 - 6*j**4 + 4789. Let r(w) = w**5 - 4*w**4 - 2. Let s(x) = -3*m(x) + 2*r(x). What is the second derivative of s(h) wrt h?\nAnswer: 40*h**3 + 12*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(2\/67))\/(z\/(z**3\/z*z)))\/((z\/(z**(2\/7)*z*z))\/z*z**(-14)) assuming z is positive.\nAnswer: z**(9031\/469)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1396962416 or -1396962417?\nAnswer: -1396962417","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 236905263 to the power of 1\/2, to the nearest integer?\nAnswer: 15392","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -2*c**3 - c**2 - c. Let i be t(-1). Suppose l - 30 = -i*l. What is the greatest common divisor of 5 and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 5 - 78\/12 - 83\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 4*z + 42 = 0, z = -0*z. What is the tens digit of 272\/10*(-16 - y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 12:36 AM?\nAnswer: 5:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -6220?\nAnswer: -1\/3110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -2*c**2 + 0 + 0 + 3*c**2 + 7. Let t be x(5). Suppose -t - 2 = -o. Is 7 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7056\/972)\/98 + 1757\/(-756)\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, q: 1, b: 4}. Give prob of picking 3 b.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -0.2.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 136667641?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(3 + -1*((2*sqrt(2057) - sqrt(2057)) + 3 + sqrt(2057))*-2*-4))**2.\nAnswer: 118272*sqrt(17) + 8432528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2*d + 0 + 0)*(-3*d + 2*d + 2*d) + 2 - 2 - d**2)*(29267 - 16*d + d - 29185) to the form v*d + k + n*d**2 + y*d**3 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -8609 >= 10015?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuummlmhueu. What is prob of picking 1 e and 1 u?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-24)\/16 + (-2)\/4. Sort 4, k, -4 in ascending order.\nAnswer: -4, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 8*o**3 - 11*o - 11. Suppose 59 = -5*a - d, -2*d + 47 = -0*a - 5*a. Let v(l) = -3*l**3 + 4*l + 4. Give a*v(p) - 4*n(p).\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*a + 3*a. Suppose 3*n = k + 7 - 2, 2*k + 4*n - 20 = a. What is the closest to -0.2 in k, 1\/2, 1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-31*o - 3*o + 11*o)*(-o + 4*o - 2*o) - 10*o**2 + 0*o**2 - 3*o**2 - 5*o**2 + 9 - 9 to the form n*o**2 + l + g*o and give n.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k*k*k\/(k\/k**(-4))*k))\/k)\/(k*k**(-3))*((k\/(k*(k\/k**(-1\/2))\/k))\/k)**(-1\/5) assuming k is positive.\nAnswer: k**(33\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 377 - 350. Is -2 greater than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 6 (b) -0.1 (c) -0.2 (d) 2\/13 (e) -3\/7 (f) -108\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 plus 50045?\nAnswer: 50043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + (8 - 2)\/(-2). Let j = g - -4. Let z = 3 + j. Which is the third smallest value? (a) -3 (b) z (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 39*r**2 - 11*r - 23*r**2 - 8*r**2 - 22*r**2 to h*r + g + k*r**2 and give k.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2921 to the power of 1\/2, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -136.2 to the nearest ten.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express q + 5*q + 10 - 7*q as c*q + o and give o.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, g: 5, f: 9}. Give prob of sequence fd.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -2*l**2 + 62*l - 473. Give z(19).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 5*z = 1943, -5*t + 0*z + 4*z + 4775 = 0. Does 14 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 2382 = -3*q, 5*i - 2*q = 1261 + 2674. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 2*y - 2. Let f(p) = -2*p + 2. Let n(w) = 2*w - 37. Let j be n(17). Determine j*f(c) - 4*h(c).\nAnswer: -2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -2*p**2 - 41*p - 205. Calculate s(-11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.2 (b) -2\/837 (c) 1 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 97771 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d - 12*d**3 + 14*d**3 - 125 + 128 - 4*d**2 to the form q*d**2 + o*d**3 + c + y*d and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -2*n + 30, -3 = 4*p + n - 24. Let l(z) = -4 + 0*z**3 - p*z**2 - 7*z - z**3 + 5*z - 2. Calculate the remainder when l(-4) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the second derivative of 2*l**7\/7 + l**4\/6 - 20*l. Find the third derivative of s(x) wrt x.\nAnswer: 720*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8131000 rounded to the nearest 1000000?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 166, -3, -5, 0 in ascending order.\nAnswer: -5, -3, 0, 166","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 1, 10, -2, 0 in ascending order.\nAnswer: -8, -2, 0, 1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9813 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j**2\/7 + 131224*j\/7 - 112488 = 0.\nAnswer: -65618, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 - 21*r + 13. Calculate s(-22).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 12a + 5?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/((-36)\/6))\/((-216)\/(-64))*54\/72.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 178 = -4*k + 5*m - 215, m = -k - 87. Let r be 4\/(-6)*(7 + k\/8). Solve 4*o - 4 = 0, r*y = 2*y + o - 1 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 154\/(7161\/93)*((-2)\/(-6))\/(20\/(-114))?\nAnswer: -19\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a millimeter in micrometers?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 850305*a**4 + 2*a**2 - 289109*a - 2 wrt a?\nAnswer: 20407320*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 192 and 13008.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -28*q - 82. Let g be y(-3). Let d(v) = -3*v - 46. Let r be d(-19). Which is the second smallest value? (a) 2\/3 (b) r (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -100341 by -176.\nAnswer: 100341\/176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxoffxffxx. What is prob of picking 1 o and 1 f?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 631.126kg to nanograms.\nAnswer: 631126000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 155069 to the power of 1\/3, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27963.\nAnswer: 3, 13, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.1 and -134560.\nAnswer: -134560.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 16131200\/130 - (-1)\/((-52)\/8). Suppose -4*w + k = 2*w. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*k**2 - 38*k + 38*k + 533 - 534 + 41*k**2.\nAnswer: 28*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -16, 71, 1208?\nAnswer: 71","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 130\/78*(-6)\/(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2257*d**2*y**4 + 4*d**2*y - 4*d*y**5 - 8*d*y**2 - 45*y**2 wrt y.\nAnswer: 54168*d**2*y - 240*d*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8)\/(-10) - 2\/(-10). Suppose l = 7*i - 2*i + 28, -3*l - 2*i = o. Let r = 3 - 1. Calculate the greatest common divisor of r and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*y + 4*y - 134*y + 27*y.\nAnswer: -127*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -493 + 112 = -g - 2*t, 2*t = 10. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1\/14 + -1\/14. Which is the nearest to 1? (a) -4 (b) h (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*a - 2*x = 12*a + 3130, 5*a - 3*x - 3911 = 0. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81061018 is divided by 180?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (28\/6)\/(2\/(-33)). Let w be (4 - (-322)\/f) + 2006\/22. Calculate the remainder when 107 is divided by ((-4)\/(-14))\/1*w + 1.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 - -14. Let x be (-3)\/(m\/(-9)*-3). Let l = 6.4 + -6. Which is the closest to 0? (a) 4 (b) x (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 223\/3 in -0.58, 2, -74?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v and 1 d when four letters picked without replacement from vdvzvvzvz.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:08 AM and 5:20 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 632 (base 8) in base 4?\nAnswer: 12122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -5*r - 12, -5*w + 4 = 2*r. Solve -b - w = -1 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrr when three letters picked without replacement from {b: 3, r: 15}?\nAnswer: 455\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p + p**2 - 2*p + (0*p + 4*p + 2*p)*(3*p - 3*p + p) + 3 - 3 - 2*p**2 + (3 + 2 - 3)*(-2*p**2 - p + p).\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 315 = -156*r + 135*r for r.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/((g*g**2)\/g))**(-14\/3)\/((g*g**0*g)\/g)**(-41)*g*g**0*g*(g*g**(-4\/9)*g)\/g*g*g\/g**1*((g\/(g\/(g**(5\/6)\/g)))\/g)\/g assuming g is positive.\nAnswer: g**(847\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -3*h + 192. Suppose 26 + 22 = 3*n - 3*l, 3*n - h = l. Does 18 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26 - 48\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of 0*l**2 + 5 + 0*l**5 - 1\/2*l**6 + 4\/3*l**3 + 0*l**4 + 0*l. What is the third derivative of v(c) wrt c?\nAnswer: -180*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -14051, -28101, -42151, -56201, -70251?\n\"Answer: -14050*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-10024)\/(-9666))\/((-16)\/(-216))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -27.6 + 23.63. Let x = 0.03 - d. Put -0.1, 0.3, x in ascending order.\nAnswer: -0.1, 0.3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 118, 224, 326, 424, 518?\nAnswer: 608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in one quarter of a kilometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 142 (base 12) to base 14\nAnswer: dc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 - 11 - (-3 - 0). Let c(k) = 3*k**3 + 5. Let i(n) = -7*n**2 - 16*n + 2. Let z be i(-2). Let x(o) = 2*o**3 + 4. What is v*x(s) + z*c(s)?\nAnswer: 4*s**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 0.439, -4\/3, 1, -4.\nAnswer: -4, -4\/3, -1\/3, 0.439, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -80, 22, -0.3, 0.3 in decreasing order.\nAnswer: 22, 0.3, -0.3, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 116646510 to the nearest 1000000.\nAnswer: 117000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 + 9*x + 12. Let t be m(-9). What is the highest common factor of 108 and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 481.77 + -225.83. Let f = 256 - p. Let o = 9\/2 + -4. Which is the nearest to 0? (a) o (b) 0 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -762, -802, -840, -876?\nAnswer: -910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the third derivative of h**6\/540 - h**5\/135 + 2*h**2. Factor t(z).\nAnswer: 2*z**2*(z - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.143 - 12.597. Let o = 0.7 - 1.44. Let w = o - j. Sort -1, -1\/3, 3, w in decreasing order.\nAnswer: w, 3, -1\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 142 and -564270.\nAnswer: -564128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 - 8*h**2 + 8*h. What is d(-8)?\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 PM and 11:41 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16136 and 44280.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10083 = 71*c - 70. Is c a multiple of 92?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**16)\/(((t*(t\/(t\/(t\/(t\/(t\/(t*t*t*((t\/(t*t**6))\/t)\/t))))*t*t))\/t)\/t)\/t*t))**(9\/5) assuming t is positive.\nAnswer: t**(126\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve a**2\/6 - 10*a\/3 + 32\/3 = 0.\nAnswer: 4, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13 + -1102004?\nAnswer: -1101551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 875 divide 257375125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1734 - 514. List the prime factors of z.\nAnswer: 2, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -169, -336, -503?\nAnswer: -670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 14584 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of 0*t - 8\/3*t**3 + 0*t**4 + 0 - 1\/60*t**5 - 6*t**2. What is the first derivative of d(j) wrt j?\nAnswer: -2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -138, -645, -1618, -3159, -5370?\nAnswer: -8353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*a**3 - 34*a**3 - 13*a**3.\nAnswer: -64*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-25)\/(675\/(-486)) - -867. Calculate the highest common divisor of f and 15340.\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmhh when four letters picked without replacement from mmhhhm.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -28*p - 18. Let t(k) = 23*k + 15. Let g(x) = 5*h(x) + 6*t(x). Let f(b) = 13*b - 2 + 2. Calculate g(f(w)).\nAnswer: -26*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 513614626 a multiple of 2173?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*f**3 + 14*f + 6 - 17 + 11.\nAnswer: -4*f**3 + 14*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - 121?\nAnswer: -201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 809.7936 decades in months?\nAnswer: 97175.232","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 + u + 5. Let n be x(3). Let i(c) = -80*c**3 - 2*c**2 + 1. Is i(n) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.6 - -1.6. Suppose -5*q + q = 0. Let o = -203\/3 - -68. Which is the nearest to q? (a) 1 (b) o (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1685091 by 7.\nAnswer: -1685091\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5045904 plus 0.526?\nAnswer: 5045904.526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*g**4 + 35*g**2 + 816 - 108*g**3 - 818 - 74*g**2 as w*g**4 + i*g**3 + b*g**2 + y*g + o and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 + 8*y**2 - 9*y - 6. Let k be b(7). Let q = -6 - k. Suppose 0 = 2*x - d - 36 + q, 0 = -2*x - 5*d - 2. Is x a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 3:40 PM?\nAnswer: 3:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3322332?\nAnswer: 2, 3, 13, 31, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -8899130 to the nearest 10000.\nAnswer: -8900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3869 - -3938. Is y a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 346301526?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2994462?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-4) - (-17)\/2. Let n = 16 - u. Suppose -1 = -q + n. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of 3\/2*k**2 - 2\/3*k**3 + 2*k - 425. Let r = 1 - -3. Give p(r).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 194 - 166. Is ((-60)\/(-7))\/(2\/r) a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 - 5*u - 2. Let m be j(-5). Let h = 56\/75 - 2\/25. Which is bigger: m or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12 - 9*x**2 + 28 + x - x + 18 to the form i*x + u*x**2 + b and give b.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 5*n**3 - 76*n**2 + 90*n - 48. What is y(14)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of u**8\/1120 - u**7\/180 + 49*u**6\/3240 - 97*u**5\/30 - 3*u**2 + 11*u. Let d(f) be the third derivative of j(f). Factor d(k).\nAnswer: 2*(9*k - 7)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-3)*28\/(-12)*7\/(-245).\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -2*q**2 - 5*q. Let f be t(-3). Suppose -z - 27 = -4*z. Let r be 1\/2 - z\/6. Sort 4, r, f in descending order.\nAnswer: 4, r, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 2 = 4, q + 7 = -4*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 4*u + 11. Let i be g(6). Let y be (-1)\/4 - i\/(-76). Which is bigger: y or -1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of -5*r**4\/12 + 45*r**3\/2 + 70*r**2 + r + 207. Let o(n) = 0. What is n?\nAnswer: -1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 + 5*t**2 + 2. Let r be p(5). Let o(f) = 2*f - 1. Let c be o(r). Suppose -c*h - 5 = -4*h. Solve h - 15 = -5*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -679*k - 8497. Determine q(-12).\nAnswer: -349","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 - 10*d**2 - 9*d - 10. Let b be h(11). Let g = 28 - 21. Find the second derivative of -g + 7 - b*j + 2*j**2 wrt j.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20201 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*s - 13*s - 7*s - 7*s**2.\nAnswer: -7*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**2 + 13*q + 2. Let f be r(-13). Solve m + 2 = -5*c - 7, -2*c = f*m + 2 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 36120\/149?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -4*a**2 - 56*a + 128 = 0.\nAnswer: -16, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/7, -1\/5, -5, -1, 6.\nAnswer: -5, -1, -1\/5, 1\/7, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.58916510475 - -1.\nAnswer: 0.41083489525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 147 = -k - 0*k, 4*q + 5*k + 259 = 0. Let x = -17 - q. Let s = x + -34. Is s a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 + h**2 + 1. Let g(a) = -27*a**3 - 243*a**2 - 9. Let t(m) = -9*f(m) - g(m). Find the third derivative of t(n) wrt n.\nAnswer: 216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 62*c - 28. Calculate q(2).\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 54 = 2*v, -2*v = -0*v - 2*p + 46. Let u = v - -41. Is u a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 = -3*c + 4*v, -294 = -4*c - 3*v - 291 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + 5. Suppose r - 2*h - 11 = d, 3*h - 3 + 15 = 0. Suppose -3*s = -5*u - 17, 4*u - 7*u = r*s - 57. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 6 = -2. Find r such that 48 - 79*r**2 - 296*r + 134*r**2 + 298*r**2 + 115*r**y - 70*r**3 = 0.\nAnswer: 2\/7, 2\/5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -333.3812 - -333.4. Which is greater: -0.1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -9*z**2 - 18*z + 4. Let x be r(-2). Put 1, x, -25 in decreasing order.\nAnswer: x, 1, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 18 = 5*x, d - 2 = x - 3*x. Let o(q) = -q**2 + 2. Let k be o(x). What is the units digit of (-19)\/k - (-15)\/30?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112) + -3)**2 + -1 - (1*-2*sqrt(112) + sqrt(112))**2.\nAnswer: -24*sqrt(7) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -147.3 - -148. Let o = -39 - -197\/5. What is the second smallest value in o, 1\/3, l?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1746 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/2)\/r**(-5))**(1\/49)\/((r**(1\/2)\/(r\/(r\/r**(2\/13)*r)))\/r**(-4\/7)) assuming r is positive.\nAnswer: r**(-1150\/637)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/14*77\/(-22). Suppose g + 171 = -5*u - 0*g, j*g - 8 = 0. Let i = 43 + u. What is the greatest common divisor of 20 and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 203381204?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/925 (b) -5 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2262)\/696)\/((-1)\/28)*1.\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2 - 3*t + 121. What is the remainder when l(-13) is divided by 21?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -98, -1, 12, -4, 5 in ascending order.\nAnswer: -98, -4, -1, 4, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 1 - (137 + (20 - 171))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -94 + 83. Let l(p) = 25*p - 11. Let h(u) = -13*u + 6. Give d*h(k) - 6*l(k).\nAnswer: -7*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 0 + 2*v**2 + 3*v + 1 + v**3 + 1. Let c be (42\/(-12))\/(2\/(-4)). Let m be 1\/(c\/(-2) + 3). Calculate z(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from nkkrn?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1*-9 + -1)\/(-2). Let o = j - 3. Suppose 24 - 58 = -o*z. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + -14 + 3 + 9 + 10.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppu when three letters picked without replacement from {y: 4, o: 1, p: 2, u: 1}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 55*i - 3. Let n be u(3). Let t be -5 + (-3 - -1) - -1. Let d be (t\/(-4))\/(1\/12). What is the highest common factor of d and n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5353\/17 - 315. Put n, -0.2, -3, -0.8 in increasing order.\nAnswer: -3, -0.8, -0.2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/5 - (-8)\/20. Let z = -10425\/4 + 2631. Find the common denominator of z and 23\/(-4) + o\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 + -16 + 28 + 34?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 46 in 1.1, 440\/7, 7, -1\/2?\nAnswer: 440\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54 is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1158 - -0.2158. What is the nearest to -0.1 in 1\/4, s, -124?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*f**4*o*q - 2*f**4*o + 13*f**4 + 2*f**2*o*q - 3*f*o*q - 3*f*o - o wrt f.\nAnswer: 72*f*o*q - 48*f*o + 312*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16 and 147161744?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*u**4 - 4 - 3*u**4 - u**4 + 7*u**4 wrt u?\nAnswer: -4*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*w - 549 = 3*w. Is w smaller than 38?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 114\/22 - (-18)\/(-99). Suppose 0 = 2*m + h*r + 3, 14*r - 10*r - 4 = 0. Put -2, m, -3, -10 in descending order.\nAnswer: -2, -3, m, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwwkwfwwfnnknww. Give prob of picking 1 n, 1 w, 1 f, and 1 k.\nAnswer: 27\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (5\/3)\/((-15240)\/(-1524))\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the third derivative of 7*l**2 + 0 - 3\/112*l**8 + 0*l + 0*l**3 + 0*l**6 - 3\/20*l**5 + 0*l**7 + 0*l**4. What is the third derivative of f(c) wrt c?\nAnswer: -540*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -27494 + 54982 - 27513 - 47*n in the form r*n + u and give r.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.1 and -6172.7?\nAnswer: 6172.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 243595842 divided by 14\nAnswer: 17399703","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 402934 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j + 6. Let s be u(7). Let w = 1 - s. What is the first derivative of -4 + 2 + 0*o**3 - w*o**3 wrt o?\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -122005 (base 8) in base 6?\nAnswer: -522221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.005 + 1.13. Let k = u + -0.025. Is k at most -159?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 3412*u + 990. Is y(49) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.02 * -73829\nAnswer: -1476.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1165708\/2737 >= -427?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.3 - -0.7. Let k be (-3 + 2 + 2)*1. Let y = k + -2. Sort -2\/13, r, y.\nAnswer: y, -2\/13, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*r**4 + 134528*r**3\/3 - 152392*r**2\/3 + 8960*r\/3 + 2988 = 0.\nAnswer: -1\/5, 1\/3, 1, 2241","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cl when two letters picked without replacement from {u: 4, k: 1, l: 2, c: 3, q: 7}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4613143 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -3*o - 2, 5*o = 2*v + 5. Let f(s) = -s**3 - 6*s**2 - 4*s + 5. Let g be f(v). Let z(q) = -q**2 - q + 13. What is z(g)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 - 2*d**3 - d**2 + d**4 + 1 + 2*d**3 as b*d**3 + u*d**4 + x + r*d + t*d**2 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -287964, -575922, -863892, -1151880, -1439892, -1727934?\n\"Answer: -c**3 - 287951*c - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 - 5*q**2 - 6*q + 4. Let t be g(6). Suppose 5*f - 3*v - 76 = 0, -2*f + t*f - 22 = -3*v. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 70*i**3 + 84*i**2 + 16*i + 27. Let f(s) = s**3 + 6*s**2 + s + 2. Let c(q) = 14*f(q) - t(q). Determine c(1).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 - 14\/(-6))*12. Let y = j + -4. Suppose -2*x + 2*f = -8, y = 2*x - 5*f + 2*f - 7. List the prime factors of x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*a + 3*a - 33. Let j = 18 + 1. What is the remainder when j is divided by a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 18 + 46 = -5*z, 2*t = 2*z - 50. Let p(d) = -d**3 - 21*d**2 - 2*d - 39. Let y be p(t). Put 38, y, -3 in decreasing order.\nAnswer: 38, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -84ae2 (base 16) to base 11\nAnswer: -341343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 390, 549, 920, 1605, 2706, 4325, 6564, 9525?\nAnswer: 13310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4751 or -4720?\nAnswer: -4751","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27707 = -4315*k - 126836 - 87097 for k.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**33*j**(6\/7) assuming j is positive.\nAnswer: j**(237\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68773849*f**2\/4 - 8293*f - 1 = 0.\nAnswer: -2\/8293","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.0161 less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -11*w**2. Let q(z) = -28*z**2 + 16. Let c(o) = 29*o**2 - 22. Let b(k) = 3*c(k) + 4*q(k). Give n(b(i)).\nAnswer: -6875*i**4 - 1100*i**2 - 44","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*d - 2*d + 0*d + (1 - 3 + 0)*(3*d - 2*d - 3*d) + 3 - 3 - 2*d)*(-2*d**3 + 3*d**3 - 3*d**3) in the form o*d**3 + u + i*d + l*d**2 + r*d**4 and give r.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zkzk when four letters picked without replacement from zzkkzzkzzk?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 488 is divided by 35.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + -6. Let j be 12*(-10)\/(-4)*i. Let b = 59 - j. List the prime factors of b.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 29 + -1. Let s = 29 - o. Let n be (-3)\/(-12) - (0 - 0). Which is the third biggest value? (a) n (b) s (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/14 + 122\/14. Let k be (-20)\/(-5)*(-3 - -1). Let h be (-13)\/(-3) + k\/24. Solve g + h = f for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 407 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -76.8933 rounded to one decimal place?\nAnswer: -76.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, l: 7, o: 6}. Give prob of picking 2 l and 2 o.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -1\/6, -6378, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**5 - 97*k**4 + 12*k**3 + 1180*k**2 + 1552*k.\nAnswer: -k*(k - 4)*(k + 2)**2*(k + 97)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17 - (-12 - 5)) + -17 + 20?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.022+0.35\nAnswer: 0.372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-4*(sqrt(1700) - sqrt(1700)*1)**2 + 4 - (2*(sqrt(1700) - (sqrt(1700) + 0)) + 0)**2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 - 12*j**2 + 5*j + 9. What is o(-12)?\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*n**4 + 1530*n**3 - 92540*n**2 - 3952890*n + 4043905 = 0. What is n?\nAnswer: -29, 1, 167","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3978, 7957, 11936, 15915, 19894, 23873?\nAnswer: 27852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 - 1)*(6 + 0). Let s = -8 + d. Suppose -8*r + s*r + 16 = 0. Solve -2*q + r*l = 4, q + 0*q + 3*l = 13 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 5*s**2 - 2*s. Let y be (-21)\/(-28) + (-3 - 51\/(-12)). Let i be 5\/y*(12\/(-5))\/3. What is h(i)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 4*x + 6*x. Let u be (-1)\/(11\/(-2) - 15\/x). Solve 2 = h, 2*h - 8 = u*b + 2*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4\/5 (b) 95 (c) 0.5 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*n + 53 - 77, -15 = -u + 3*n for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6754762649 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 + 2. Suppose 4*l + 2 = -2*g, -l - 14 = -16*g + 12*g. Which is the nearest to 13? (a) -0.1 (b) g (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -79\/5 - -973\/60. Let x(y) be the second derivative of 1\/12*y**4 + 4*y + 0 + o*y**3 + 1\/2*y**2. Factor x(g).\nAnswer: (g + 2)*(2*g + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 246 is divided by 178?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 2*g = -115. Let w = -21 - g. Suppose 4*m - 8 = 12. Solve w = 2*y - 2*j, -4*y - 4*j = -7*j - m for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -47350*p**3 - 201*p**2 + 49*p wrt p.\nAnswer: -284100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the third derivative of -t**6\/120 - t**5\/30 - t**4\/12 + t**3\/3 + 32*t**2. Let v(l) = -5*l**3 - 9*l**2 - 9*l + 8. Determine -9*c(i) + 2*v(i).\nAnswer: -i**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 + 18*n + 34. Let z be j(-16). Solve -z*v + 4 = -2*m, -2*m = -5*v - 5*m + 2 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 + 3*q**2 + 3*q - 4. Let m be u(4). Let x = m - -6. Let p be 16\/(-572) - x\/(-13). Which is the third biggest value? (a) 1\/2 (b) p (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 799*n = -21404 - 11355 for n.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 188696541 and 1293?\nAnswer: 1293","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15167 divided by -404.\nAnswer: 15167\/404","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 + 11*v**2 - 42*v + 8. Let c be f(-14). Let j be (-4)\/(-14) - 4\/14. Solve j = i + i + c for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-14)\/((s*s**1\/s)\/s)*((s\/(((s**(-14)\/s)\/s)\/s))\/s)\/((s*s\/(s*s\/(s\/s**(-12\/5))))\/s) assuming s is positive.\nAnswer: s**(3\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 PM and 7:48 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -106.83 + 103. Let h = l - -3.9. Let n = h - -2.93. Sort -0.3, 5, n in decreasing order.\nAnswer: 5, n, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -23 - 19. Suppose -9*b - 4*v - 23 = -10*b, 2*v + 76 = 2*b. Let q = b + y. Calculate the greatest common factor of q and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-12)*-10)\/((-19)\/(-57)).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -110*z - 46. Let n be c(3). Let r = -152 - n. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22907 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 13873522?\nAnswer: 5\/13873522","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 8 = 0, -4*r - 268 - 183 = -5*j. Calculate the greatest common divisor of j and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 1827898?\nAnswer: 5483694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*z = -7*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 53, -5, -1, 4, 1753 in decreasing order.\nAnswer: 1753, 53, 4, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 173208 (base 9) to base 16.\nAnswer: 1a345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15\/8 - -7\/4. Let w(a) = a**3 + 7*a**2 - 9*a - 7. Let m be w(-8). Let c be ((-12)\/(-42))\/(27\/(-21)). What is the nearest to t in 2\/5, c, m?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 70729 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - (-4 + 7)) + -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -408 - 507*c + 408 in the form a + x*c and give x.\nAnswer: -507","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -72 - -107. What is the highest common factor of q and 70?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (45 + 20 - 47)*(-j + 3*j - 5*j)*(0*j - 7*j + 0*j).\nAnswer: 378*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 539, 542, 535, 518, 491?\nAnswer: 454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 20577.38 to the nearest one hundred.\nAnswer: 20600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -155 - -188. What is the greatest common divisor of 165 and y?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + 5*c - 171, -5*c = -f + 3*f - 332. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 121140, 242227, 363314, 484401, 605488, 726575?\n\"Answer: 121087*s + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93075.\nAnswer: 3, 5, 17, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -701 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 h when two letters picked without replacement from {h: 14, l: 5}?\nAnswer: 70\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 15 = 3 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 175 = -4*r, -r - d = 3*d - 41. Let l = r + -43. What is the nearest to l in -2\/3, -3, -2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7238 is divided by 771.\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.38 - 3.4. Let n = d + 0.31. Let s = n + -0.59. Put -1, s, 1\/3 in ascending order.\nAnswer: -1, s, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8.513 times 0.043\nAnswer: 0.366059","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 5*j - 30, -3*j + l = -2*l - 42. Suppose 31 = 5*b - j. Suppose -3*z = -3*r + 2 - 8, 0 = -2*r - z + b. Solve -3*q - 4 = -r*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of 8*m + 31 - 4\/3*m**3 + 2*m**2. Solve r(b) = 0 for b.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1592134 is divided by 796031.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/6 - 340\/(-68).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 + 10*r**2 + 11*r + 3. Let v = 12 - 1. Let g be p(v). Let l(b) = b**2 + 1. Determine l(g).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 53543 (base 7) to base 2\nAnswer: 11001111111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2772)\/550)\/(9*20\/(-2100)). Let -k*p - 48\/5*p**3 - 3\/5*p**4 - 231\/5*p**2 + 0 = 0. Calculate p.\nAnswer: -7, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of 0*t**5 + 19\/12*t**4 + 0*t**2 + 11*t - 5\/14*t**7 + 0*t**6 + 0*t**3 + 0. Find the third derivative of o(j) wrt j.\nAnswer: -900*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 4*b + 18. Let i be (1 - (-4)\/3)*b. Is 6 greater than or equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that j**2\/3 + 6903*j - 20710\/3 = 0.\nAnswer: -20710, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -21*o**3 + 7*o**2 + 6*o + 11. Suppose -15 = -3*w - 3*d, 4*w - 31*d - 32 = -23*d. Let z(j) = 11*j**3 - 4*j**2 - 3*j - 6. Calculate w*h(m) + 11*z(m).\nAnswer: -5*m**3 - 2*m**2 + 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 4*y**2 - 9*y. Let u(t) = -4*t**2 - t. Let r(l) = -3*l**2. Let f(n) = 3*r(n) - 2*u(n). Calculate -9*f(j) - 2*p(j).\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**4\/5 + 76*p**3\/5 + 384*p**2\/5 - 9216*p.\nAnswer: p*(p - 20)*(p + 48)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4754 and 431969833.\nAnswer: 2377","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 2\/17 (c) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -128, 13649 in descending order.\nAnswer: 13649, 7, -128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*h + 126 = 19*h. Let j(t) = -2*t**2 + 2. Let f be j(4). Let r = f - h. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 113451 divided by -3?\nAnswer: -37817","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.52 - -0.5. Let s = y - 0.98. Let x = 17 + -17. What is the smallest value in s, x, -2\/3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 - 1. Let s = 35 + -38. Let h(v) = -2*v**3 - 2. Let t be (-6)\/4*(-14)\/3. Let d(y) = s*h(y) + t*k(y). Find the first derivative of d(u) wrt u.\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 6117 + 4795 = -3*r, -4*r - 21822 = -2*m. What is the remainder when m is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20240356608.99999236 - -20240356941. Let s = 332 - r. Round s to 6 dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) 2\/11 (c) 3 (d) 2\/15 (e) 5 (f) -2091\/20\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = q + 449, q - 895 = -4*f - 0*q. Suppose -4*v + f + 136 = 0. Let c be 18*(-2)\/(-9)*15. Calculate the highest common divisor of c and v.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -6*k**2 - 3*k - 2. Let d(h) = -h. Let b(n) = -64*n - 443. Let i be b(-7). What is i*d(o) - r(o)?\nAnswer: 6*o**2 - 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**2 - 10*m + 3. Let o be v(-10). Suppose -i - 2*i = o. Suppose -2 = -3220*d + 3222*d. Which is the nearest to i? (a) -0.5 (b) d (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -495 + 269. Let m = u - -225. Is m at most -45?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 35 = -4*a + 3, 2*u = -2*a + 24. Let h(o) = -3*o - 2 + 15 + a. Let b be h(12). Which is greater: b or -18?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gste when four letters picked without replacement from ggstesggx.\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 241 less than 240?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 8689, 0.6, -3, 0.5, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-60 - 94) + 62 + 21?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*l + 4*l - 27*l + 567 = 0. Let k(f) = f - 10. Let w(c) = -c + 11. Let s(p) = -3*k(p) - 2*w(p). Calculate s(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5790950, -5790922, -5790894, -5790866, -5790838, -5790810?\nAnswer: -5790782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2*z**2 - 5. Let c(x) = x**2 - 2. Suppose -3*d = -5*v - 5, -3*v = -2*v + d - 7. Determine v*l(k) - 5*c(k).\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand n + 2*n - 4*n + (-2*n - 2*n + 6*n)*(-1 - 1 + 4) + 4 - n - 4 + n - 1 - 5 + 4.\nAnswer: 3*n - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3971 take away 0.1080392?\nAnswer: 3970.8919608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vy when two letters picked without replacement from ryzvryr?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**2 + 2. Let q(m) = 2*m**2 + 7*m. Let j(x) = q(x) + 3*y(x). Suppose 2*l = -4*r + 20, -38 = -4*l - l + 2*r. Let p be j(l). Are p and -2 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78846?\nAnswer: 2, 3, 17, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-6*(-1 + sqrt(450)))**2 + ((sqrt(2400) + 2*sqrt(2400))\/(1*sqrt(768)))**2.\nAnswer: -1080*sqrt(2) + 130105\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 15 = -3*r, 4*i = 4*r - 8. Let b(l) = -l**3 - 37*l**2 - 34*l + 74. Let h be b(-36). Solve 3*d + 2 = z - i, z = h*d + 4 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + n = -85, -2*n = -0*a + 4*a - 310. Let t be a\/12 + 4\/3. Let i = t + 13. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7550 and -0.08.\nAnswer: -604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 10 = -6. Suppose 5*a - 2*w - 56 = w, -8 = g*w. Let m = a - -2. Is m a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 - 2*f - 1. Let t be p(-1). What is the second derivative of w + w - 2*w**t + 0*w wrt w?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - (-19 + (-13 - -16)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (10 + -6 - 3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31*g - 58*g + 4*g + 31*g to the form a*g + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -49291, -49936, -50581?\nAnswer: -51226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*f**5 + 0*f**5 + 0*f**5)*(3 - 4 + 3) - 3*f - 2*f**5 + 3*f + 3316*f**5 - 3*f**2 - 6631*f**5 + 3317*f**5 + 4*f**3.\nAnswer: 10*f**5 + 4*f**3 - 3*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1228, -2436, -3644, -4852?\n\"Answer: -1208*n - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2012367 by 1659.\nAnswer: 1213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -z + y, 25 = -3*z + 6*z - 4*y. Let i(m) = 2*m**2 - 3*m**2 - z*m + 21*m - 6. Calculate i(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2\/469 + 22989\/1876. Let u = g + -155\/12. Let v = -4 - -4.1. What is the closest to -2\/3 in u, -3, v?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(363) - (sqrt(363) + (sqrt(363) - (sqrt(363) + 4)) + sqrt(363))) - sqrt(363))**2.\nAnswer: -1056*sqrt(3) + 5952","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10\/9*c**4 + 8\/3*c**2 + 0*c + 0 - 28\/9*c**3 - 1\/9*c**5 = 0.\nAnswer: 0, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 6*k + 15. Suppose -3*p + k = -10. Solve 0 = -s + 2*s - p for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1950 = -4*w - 3*d + 7068, -5*d - 10 = 0. What is the hundreds digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*x + 168 = 31*x + 70*x. Sort -19, -4, 4, x, -2 in ascending order.\nAnswer: -19, -4, -2, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 130 divide 1299480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 38\/64707?\nAnswer: 38\/64707","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-10)*5*8\/48.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-872*g**4 - 480*g**4 - 404*g**4 + (-3*g**3 + g**3 + 0*g**3)*(2 - 2 + 2*g) - 2*g**4 - 3*g**4 + 6*g**4)*(-4*g + 0*g + 2*g)*(5 - 4 + 3).\nAnswer: 14072*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 91a9 + -125?\nAnswer: 9084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(0 + (-2)\/22). Let a = 23 - n. Solve l = 3*s - s - 5, 3*l - 5*s = -a for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 5*p + 17823, -3*s - 6555 = 4*p + 7709. Let m = p - -10012. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 0*y = 2*a - 20, -2*y = 5*a - 6. Let m be (y\/10)\/((-4)\/(-10)). Suppose -6*c = -2*c - 20. Sort m, -4, c.\nAnswer: -4, m, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o**4\/11 - 9458*o**3\/11 - 56720*o**2\/11 - 75616*o\/11 = 0.\nAnswer: -9452, -4, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 27 - 12*u**3 - 14*u**3 + 20*u**3.\nAnswer: -6*u**3 - 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -470454, -940955, -1411456, -1881957?\n\"Answer: -470501*x + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9591 - -9624. What is the remainder when 4220 is divided by c?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2*s**2 - 9*s + 489. Let h be g(-18). Solve -5*c = -2*p + 18, -2*p = -h*c - 0*c - 10 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 - 6*a**2 - a - 5. Suppose 0*i - 2*i - 8 = 0, 0 = -5*d + 4*i - 14. Let s be n(d). Calculate the greatest common factor of 11 and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nl when two letters picked without replacement from psllpmlmpltlpnlp.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4)\/12)\/((-1)\/(-3)). Let p be b\/(((-3)\/(-30))\/(-1)). What is the units digit of 66\/p + (-10)\/(-25)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 263.154 micrometers to meters.\nAnswer: 0.000263154","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2 + 4*w - 1. Let n = -3 - -5. Let m be j(n). Suppose 0 = -7*z - 210 + 224. Solve 5*l - z = m for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the third derivative of 0*g**4 - 2*g**2 + 0 - 1\/525*g**7 - 1\/15*g**3 + 0*g**6 + 0*g + 1\/75*g**5. Factor l(r).\nAnswer: -2*(r - 1)**2*(r + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 297633250 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most 101276?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 14*v**3 + 13*v**2 + v - 5. Let t be y(4). Suppose 13*l + t = 4743. Is l a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, p: 2, e: 1}. What is prob of picking 1 a and 1 p?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 15\/4 of a microsecond?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 389 not equal to 397?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 - 9*c**2 - 9*c - 11. Let k be (-2)\/((-2 - 22\/(-10))*-1). Determine j(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.48 + -1469936143\nAnswer: -1469936144.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -168153*x - 1056344 wrt x?\nAnswer: -168153","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 19180 a multiple of 137?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -60 + 62. Factor 2*y - g - 1\/2*y**2.\nAnswer: -(y - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -116*f**3*x**2 + 2951*f**3*x - 2*f**3 - 15*f**2 - 30*f*x**2 + x**2 + 2*x - 565 wrt f?\nAnswer: -696*x**2 + 17706*x - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2697?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 14*x + 43. Let c be p(-9). Let s = c + 89. Calculate the highest common factor of 24 and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 4*d - 49 = -11, -4*d = -2*r + 8. Suppose m + 111 = 4*m. Let f = -20 + m. Calculate the remainder when f is divided by r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1804704172 to the power of 1\/3, to the nearest integer?\nAnswer: 1217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1\/6)*q\/(q*q**(-2)))\/(q**4*q*q**(-5)))\/(q\/q**2*q**(-14))**(1\/38) assuming q is positive.\nAnswer: q**(127\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 925120.\nAnswer: 2, 5, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1256079 and 4488?\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add -5389 and 473938.\nAnswer: 468549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.305197ml in litres?\nAnswer: 0.000305197","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**4 + 70*k**3 - 656*k**2 + 1848*k.\nAnswer: -2*k*(k - 22)*(k - 7)*(k - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 137 + -135. Sort 1\/9, 0.1, y, -1\/4 in descending order.\nAnswer: y, 1\/9, 0.1, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1460*m - 69 + 69.\nAnswer: 1460*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14705*j + 6 + 30686*j - 5.\nAnswer: 45391*j + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -324 + 494. Suppose 0 = 12*w - 566 + p. Is w a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1138324 divided by 569162.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**2\/5 + 9*y + 108\/5.\nAnswer: 3*(y + 3)*(y + 12)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/24*-3*-4. Let h(u) = -u**3 - 2*u**2 + 4*u - 4. Let f be h(-4). Solve -k - f = t*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 28, -0.007, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t + 5. Let c be r(2). Suppose -5 - c = -i. Solve 13 = 5*v - i for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -5781*y + 98269. What is c(17)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -r + 5*g, -5*r + 51 - 7 = 3*g. Suppose -3*h = -4*z - 5 + 7, -r = -5*h. Sort -1, z, -5, -2 in decreasing order.\nAnswer: z, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -200022111102 + -22?\nAnswer: -200022111201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cdkt when four letters picked without replacement from {c: 1, t: 4, d: 10, k: 3}?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*a - 241 + 131 = 0. Solve j = 13*c - 16*c + 6, 4*j + 10 = a*c for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 2*s - 840. Let r = -590 + s. What is r rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 + 2 + (0 + 0 - 2)*(6 - 4 + 0) - 2 - 2 + 1)*(31632 - 31632 - 6*u - 6*u**2).\nAnswer: 12*u**2 + 12*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10100 (base 2) to base 3.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) - (1*-3*sqrt(77) - sqrt(77)))\/(sqrt(11) - (sqrt(44)\/sqrt(4) + sqrt(11))*-1).\nAnswer: 5*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1821050 to the nearest integer?\nAnswer: 1349","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2574380 (base 9) to base 2\nAnswer: 101010111100100110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 5415?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 873 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 147*m**2 + 517*m**2 - 2461*m**2.\nAnswer: -1797*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6c2 + -3?\nAnswer: -6c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -3*l**3 + 290*l**2 - 250*l + 5607. Calculate p(96).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 17404*p**3 - 38*p**2 - 38*p. Let x(t) = 4352*t**3 - 10*t**2 - 10*t. Determine -5*g(z) + 19*x(z).\nAnswer: -4332*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6165 and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*m + 4*m + 8. Let r(x) = 4*x - 2 + 1 - 7*x + 2*x. What is r(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3138\/5 - 612. Suppose 0 = -i - 11*i + 192. Which is smaller: i or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 26\/24 - 8\/24. Which is bigger: c or 0.03?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1117459098 to the nearest integer?\nAnswer: 1038","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5874 = -11*z + 1595. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/24 of a minute in milliseconds?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 46 - 27. Let c = -51 + 146. What is the greatest common divisor of c and g?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4049126 rounded to three dps?\nAnswer: -0.405","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/(-4)*2\/(-3). Let o(t) = 5*t - 6*t + 3*t - 7*t. Determine o(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - -2*(sqrt(5) + -1) - (sqrt(30)\/(sqrt(6)*-1) + sqrt(5)) - (sqrt(5)*-2 + 1 - (sqrt(5) - -1*sqrt(5)*-1)))**2.\nAnswer: -30*sqrt(5) + 134","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -73, -147, -221?\n\"Answer: -74*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 713 minutes after 2:45 PM?\nAnswer: 2:38 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Is 491479 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -77211, -77221, -77237, -77259, -77287, -77321, -77361?\nAnswer: -77407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.20411224 + -0.2041. What is j rounded to 7 dps?\nAnswer: 0.0000122","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 2*n**3 - 276*n**2 + 1338*n - 5. Give j(5).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((-1 + sqrt(1584) + 2 + sqrt(1584)*1 + -5 - (-4 + 5 + (1*sqrt(1584) - sqrt(1584))))*-1 + 0))**2.\nAnswer: -240*sqrt(11) + 6361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 498\/(567\/(-54) + 12). What is the greatest common divisor of 284 and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 46*v**2 - 18*v + 28. Let x(t) = -23*t**2 + 11*t - 18. Let q(w) = 4*u(w) + 7*x(w). Let b(s) = -15*s**2 - 3*s + 9. Give -8*b(p) - 5*q(p).\nAnswer: 5*p**2 - p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes after 2:11 PM?\nAnswer: 8:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8\/13 in -21, -5, -25\/111, 3, 2, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 + 3*v**2 + 3*v - 7. Let k be i(5). Let h = -37 - k. Suppose -h*t = -544 - 261. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 2*a**3 + 22*a**2 - 20*a - 26. Let y(p) = -2*p**3 - 21*p**2 + 19*p + 25. Let c(q) = -6*n(q) - 7*y(q). What is c(-8)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24004 - 6013 - 6022 - 5960 + 5*m**2 - 6009.\nAnswer: 5*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -242520 = -4*k - 5*f, -440*k = -439*k - 3*f - 60613. What is the hundreds digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3661515980?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 18385604 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from {u: 5, p: 7}?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/6)\/((-1)\/6). Let x be (3\/(-2))\/((-3)\/o). What is the units digit of -1 - -9 - 1\/x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n**4\/2 - 51*n**3\/2 - 257*n**2 + 102*n + 1036 = 0. What is n?\nAnswer: -37, -14, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2*-1.832\nAnswer: 3.664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2 + 6*g + 6. Let c be t(-5). Is 4\/9 != c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-352)\/(-7436)*13)\/((-27)\/(-117))*(-9)\/116.\nAnswer: -6\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 79 - 78.51. Let o = -0.19 - s. Round o to one dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13332 + -13339. What is the closest to -2\/7 in 2, -58, -4, a?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 38 or -756146?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 15*z**2 - 3*z + 5. Let w = 2 - 7. Let o be l(w). Let h = o + -267. Is h a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22 - -28. Let a(o) = -15*o**2 + 15. Let m(k) be the second derivative of k**4\/3 - 2*k**2 - 2*k. Give c*a(q) + 22*m(q).\nAnswer: -2*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (42\/322)\/((-286)\/(-44)*84\/(-91)).\nAnswer: -1\/46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -5 + (2\/3 - (-8)\/(-12)). Let s = -548.5 - -548. Let g = -0.2 - -1.2. Which is the closest to s? (a) p (b) 0.4 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22095501 to the power of 1\/5, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((-1*sqrt(1584))**2 + 2 + sqrt(891)) - (((1 + sqrt(704) + sqrt(704))**2 - (sqrt(33)\/sqrt(3) + -4))*-5 + 4).\nAnswer: 200*sqrt(11) + 22031","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -236? (a) -1 (b) 2\/3 (c) 0 (d) 8 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -3*y. Let w(p) = -180*p**2 + 7*p. Let v(m) = 60*m**2 - 2*m. Let q(i) = -7*v(i) - 2*w(i). Give q(j(d)).\nAnswer: -540*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104)*1*2)\/(3*-3*sqrt(8)).\nAnswer: -2*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 122 a factor of 28044628?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 18276, 18276, 18274, 18270?\n\"Answer: -v**2 + 3*v + 18274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 53 - 259. Let v = -1180 + 832. Let d = z - v. List the prime factors of d.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - 10 - -9) + -13 - (3 + -8).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-8)\/2 + (37 - 0) - 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*z, -7*m + 2*m - 3*z = -8653. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*q - 6*q**2 + 0*q)*(55*q + 63*q + 22*q) - 2 + 2 - q**3 + (q**2 + 3*q**2 - 3*q**2)*(-3*q - 2*q + 3*q) as n + s*q**2 + m*q + f*q**3 and give f.\nAnswer: -843","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -9 (b) 8 (c) 0.065 (d) -2\/13 (e) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 + 3*z + 3. Let s be v(3). Suppose 0 = -y + 25 + s. What is the remainder when y is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 2164788?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 - -7. Let z(h) = h**2 + 11*h - 1. Let c(a) = 11*a + 6. Let l(k) = 9*k + 5. Let r(m) = 5*c(m) - 6*l(m). Give n*z(s) + 22*r(s).\nAnswer: -2*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 18*p. Let q(l) = 24*l**2. Determine q(k(z)).\nAnswer: 7776*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 42 + -27. Suppose -o = 2*n + 2*o - k, -5*o - 15 = 0. Let b = 13 - n. Which is greater: b or 1\/23?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l - f + 296 + 244, 4*f + 238 = 2*l. Let c = 114 - l. Solve 5*h - 2*h = c*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11 + 10*i**2 - 11 + (-40*i + 126*i + 74*i)*(-7*i + 2*i + 3*i).\nAnswer: -310*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 13*h + 32*h**2 + 6 - 3 - 4*h**2 - 6*h.\nAnswer: 28*h**2 + 7*h + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3\/5 (b) 3\/4 (c) 0.02 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*c**3 - 2*c**3 - 3*c**3)*(-1956 + 3931 - 2016)*(-c**2 + 4*c**2 - 4*c**2).\nAnswer: 41*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2 + 15*v + 4. Let l(w) = -w - 1. Let p(c) = a(c) + 6*l(c). What is the remainder when p(8) is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 360 divide 800363?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 84 + -80. Let f(a) = 5*a - 5. Give f(h).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*p**2*r**4 + 230*p**2*r - 24*p**2 + 13 wrt r?\nAnswer: -8*p**2*r**3 + 230*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*r + 5 + 4 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 376765493 to the power of 1\/2, to the nearest integer?\nAnswer: 19410","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 16505002, 0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9308148 - 606.\nAnswer: -9308754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j - 18 - 9 = 0. Let h(u) be the third derivative of 0*u + 0*u**j + 1\/60*u**5 - 1\/24*u**4 + 0 + u**2. Find the second derivative of h(b) wrt b.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.057 - -0.443. Let l = 12 + -17. What is the nearest to 1 in b, -1\/6, l?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -4*k**3 - 5*k**2 - 8*k + 7. Suppose -56 = 3*d + 4*g - 18, -4*d - 3*g = 39. What are the prime factors of h(d)?\nAnswer: 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = -2, 2*l - 5*w + 17 - 4 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**0)**(-26)*(p**1*p)**(9\/7) assuming p is positive.\nAnswer: p**(18\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -223, -450, -677, -904, -1131, -1358?\nAnswer: -1585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 7*f + 825. List the prime factors of k(-56).\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 - 8*z**2 + 14*z + 8. Let n be h(-10). Let b = 78 - n. Let y(q) = q**3 + 8*q**2 - q + 27. Is y(b) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/35 and 167\/229457460.\nAnswer: 1606202220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 - -358.4\nAnswer: 357.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 283*u - 66. Let c(h) = -113*h + 26. What is -12*c(g) - 5*p(g)?\nAnswer: -59*g + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*d**3 - 60*d**4 - 6*d**3 + (-d + 0*d - d)*(d**3 + 2*d**2 - 2*d**2) + 3*d**4 + d**4 - 5*d**4 + 2*d**4 + 3 - 3 + 99*d - 99*d + 5*d**4.\nAnswer: -56*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1 - 0.3. Let t = -3 - 2. Which is the nearest to l? (a) t (b) 1\/3 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the third derivative of -w**5\/20 + w**4\/12 - 199*w**2 - 1. Let i(g) = -19*g + 23*g**2 - 7*g**2 + 8*g. Calculate -6*i(l) - 33*x(l).\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 643017 (base 10) to base 9\nAnswer: 1180043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 23866000 to the nearest one million.\nAnswer: 24000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-10)\/(-6))\/(4\/12). Let s(m) = m**2 - 2*m - 14. Let x be s(i). Is (x\/2)\/((-10)\/(-120)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-209)\/(-15960)*488 + (-2)\/35.\nAnswer: 19\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 30\/(-40)*(-4)\/3. Sort y, -37, -2 in ascending order.\nAnswer: -37, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 220521940 a multiple of 81?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*p**2 - 3*p**3 - 3 + 1033*p**4 - 524*p**4 - 526*p**4 to the form h*p**3 + v + s*p**4 + u*p**2 + r*p and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.708 - 0.95. Let g = 49.712 - 48.5. Let x = g + n. Round x to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 - 5*o**2 - 7*o - 3. List the prime factors of i(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2393946, -4787892, -7181838, -9575784, -11969730?\n\"Answer: -2393946*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -141*p**3 + 0*p + 2 + 0*p.\nAnswer: -141*p**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*y + 1121 = -1084 for y.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*a - 8*a + 20 = 5*m, -3*a + 20 = 5*m for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 341 + 142 = x, 489 = x - 2*m. What is the tens digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 1886?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 5*n = 10. Suppose 4*l - 3*x + 15 = -n*x, 0 = 2*l - 4*x + 4. What is the closest to -1\/4 in -4\/5, 2\/17, l?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 139698205 to the nearest integer?\nAnswer: 519","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2 + 64711*f - 452873. What is k(7)?\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of -n**4\/6 + 4*n**2. Let y(q) = -2*q**2. What is y(g(j))?\nAnswer: -32*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 54963200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 4*g + 45. What is n(-11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3301845 at most as big as 3301840?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3866 - -15642. What is the greatest common factor of 23 and y?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p**4 - 1790*p**3 + 105095*p**2 + 327740*p + 220860 = 0. What is p?\nAnswer: -409, -2, -1, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 PM and 10:20 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 520745?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 2*w + 4*r = 552, w - 5*r = 162. Let s = -70 + w. Calculate the highest common factor of s and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 415 and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.69 - -23.69. Let j = 21 - s. Is j < -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2574 or -2576?\nAnswer: -2574","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -290*a - 106*a - 396 = 0. What is the closest to 5\/4 in a, 1, 7, 1\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 + -3)\/((-3)\/6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 6 + -4 + -10 + (20 - 6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of (-13 + 1)\/((-30)\/135)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 g when four letters picked without replacement from {q: 9, g: 10}.\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h = -247 + 256 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2116 - 0?\nAnswer: -2116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -21*f**2 + 1451*f + 1444. Let m(z) = 78*z**2 - 5805*z - 5778. Let a(o) = 4*m(o) + 15*y(o). Suppose a(r) = 0. Calculate r.\nAnswer: -484, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 11, 81, 211, 413, 699, 1081, 1571?\n\"Answer: 2*w**3 + 18*w**2 + 2*w - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 + (104\/20 - 1). Let y be 3\/13*19490\/(-15). Let w = -300 - y. What is the nearest to -0.3 in w, f, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5*81\/(-270))\/(3\/20).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 132066 and 24012.\nAnswer: 264132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -2, -3, -1\/4, 416\/7?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, b: 2, f: 1, e: 1, d: 4, m: 3}. What is prob of picking 2 d and 1 h?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(34)\/(6*(sqrt(10)\/sqrt(5) + sqrt(2))).\nAnswer: sqrt(17)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q**4 - 1 + 1 + q**4 - 14*q**2 + 14*q**2 + 2*q**4 - 2*q**4 - 2*q**4 + (-5*q**2 + 0*q**2 + 3*q**2)*(3*q**2 - 4*q**2 + 2*q**2).\nAnswer: -4*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 - (-60)\/(156\/13). Let y be ((-1)\/(-2))\/(3\/12). Suppose 5*c - y*w = -58, -3*c = -c + 2*w + 12. Sort c, j, 0 in ascending order.\nAnswer: c, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-9)\/6*4\/1. Let r(k) = k + 6. Let m be r(p). Suppose -5*g + 5 + 15 = m. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 2*p - 18 = -p, 2*f + 5*p - 27 = 0. Let q(m) be the second derivative of 0 + 1\/6*m**3 + 0*m**2 - 6*m - 1\/12*m**4. Calculate q(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1.11311 micrograms?\nAnswer: 0.00000111311","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -110, -2\/19, 11\/4?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/(-9)*(-3)\/(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6 and 11406.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 88 and 198.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 8*s - 9. Let h(n) = -7*n + 9. Let g(r) = -6*h(r) - 5*o(r). Let m be g(6). Let i = 0.2 + -0.2. Which is the smallest value? (a) i (b) m (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7.16201 - -0.01561. Round p to one dp.\nAnswer: -7.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -2*u. Let l(g) = 0*g**2 + 9*g**2 + 87*g - 87*g. Give t(l(z)).\nAnswer: -18*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -2*t**2 - 5*t + 1. Suppose 17 = 3*z - 10. Let q be ((-5)\/(-2))\/(z\/(-18)). Let d be m(q). Are d and -24 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -80, -45, -14, 13, 36, 55, 70?\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seven eighteenths of a day?\nAnswer: 33600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -6*h + 34 - h + 2*h + 51 - 83. Let q(o) = -o. What is -6*q(j) + 2*w(j)?\nAnswer: -4*j + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -421 - -622. Suppose 0 = -3*a - 189 + r. Solve -44 = -8*k - a for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b - b - 3*b)*(-b + b - b**3).\nAnswer: 2*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*r + 3*r - 4019115 + 4019125.\nAnswer: -r + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, 188, 11, 5 in descending order.\nAnswer: 188, 11, 5, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 701287582?\nAnswer: 2, 79, 4438529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -185\/203 - -14\/29. Let w = 21\/8 + -47\/24. Which is the closest to w? (a) g (b) 3\/4 (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2017134*s - 4033452*s + 2016719*s.\nAnswer: 401*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 + (3 - (-14 + 13 - -22)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 49, -0.8, -4, 5.\nAnswer: -4, -0.8, -1\/4, 5, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1584*d - 42 = 1583*d. Let x = 33 + -41. Is (-10771)\/x - d\/112 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 35400 - -8700. What is the tens digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5000211 - -42?\nAnswer: 5000253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 1501*h + 1502*h + 1490*h - 4488*h. Let z(a) = -28*a + 36. Determine d(z(v)).\nAnswer: -140*v + 180","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4053 + -4143.6. Which is smaller: b or 3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is -4\/25 >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 11*t**2 - 11*t - 498. Let v(u) = -2*u**2 + 2*u - 1. Determine i(p) + 6*v(p).\nAnswer: -p**2 + p - 504","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 246973235 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2799, -2794, -2777, -2742, -2683, -2594?\n\"Answer: x**3 - 2*x - 2798","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -100820 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.061 times 0.5?\nAnswer: 0.0305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 4*n**2. Let z(y) = -4*y - 11. Let h(b) = b + 3. Let x(q) = -22*h(q) - 6*z(q). Let m(g) = -2*g. Let s(p) = 6*m(p) + 5*x(p). Give j(s(k)).\nAnswer: 16*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1386199974?\nAnswer: 2, 3, 231033329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of -11*q**3\/3 - 5*q**2\/2 - 3*q. What is the tens digit of u(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 190874.44 + 569.\nAnswer: 191443.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 62, 57, 40, 5, -54, -143, -268?\n\"Answer: -t**3 + 2*t + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7381 is divided by 789.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -7040616 bigger than -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1406, 2808, 4208, 5606, 7002?\n\"Answer: -s**2 + 1405*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82 is divided by 47?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8214 - 8218. Sort -2, n, 1129.\nAnswer: n, -2, 1129","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 259.602 - 260. What is m rounded to 1 dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.2 (b) 0.5 (c) 3 (d) 3\/5 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 - 48*j**2 + 2*j + 48. Let x be l(-48). Let h be -4 + (-212)\/x - 1\/4. What is the closest to 1 in h, 5, -1, 10?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2222443 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12519440?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2376*q**2 + 18 - 1160*q**2 - 1193*q**2 - 18.\nAnswer: 23*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3991 + 6336. Let w = -40158591569\/17102590 - 1\/1710259. Let f = w + u. Calculate the common denominator of f and -39\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 216246747 to the nearest integer?\nAnswer: 14705","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -162949, -162963, -162991, -163039, -163113, -163219?\nAnswer: -163363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/29460004 and -53\/71545724.\nAnswer: 500820068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -3855\/43004 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -8636 less than 4?\nAnswer: 8640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 267798493 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 430 (base 5) to base 12\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 7 = -4*n, -5*q + 2*q = 2*n + q for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -175, -242, -155, 146, 721, 1630?\n\"Answer: 10*j**3 + 17*j**2 - 188*j - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (12\/9)\/(444\/(-36)). Let c = 69\/296 + x. What is the biggest value in -3, -7, c, 2\/17?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 5*k - 20 = l, k + 4 = 4*l. Suppose n = -b + 50, l*b + 5*b - 260 = 5*n. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*h + 3745*i = 3742*i - 57, -2*h = 4*i - 3 + 13 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = 3*g + q, -38 + 53 = -2*g + 3*q for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*w - 3*v - 10, 63*w - 2*v = 68*w - 10 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*((-125)\/(-258) - 10\/320*16).\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -68, 89, -31, -5\/6 in decreasing order.\nAnswer: 89, -5\/6, -2, -31, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12\/(-9)*231\/(-44). Let y(s) = 217*s - 60. Is y(n) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -112*b + 111984 + 3*b**3 + 111981 - 223973 - b**3 as c*b**3 + n*b + x + g*b**2 and give x.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21287\/11 - -1935. Let f(x) = -2*x + 27. Let l be f(5). Which is the smallest value? (a) z (b) 10 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120088.2 years in months?\nAnswer: 1441058.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 4 + 32)*(0 + q + 0) + 3*q - 5*q - q.\nAnswer: 31*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.27 + 0.71. Round h to 1 decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -11 (b) 1\/8 (c) 0.043162 (d) -2\/7 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10461 is divided by 65?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 11:34 AM?\nAnswer: 9:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/11525 and -113\/2810.\nAnswer: 6477050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 901184083 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -554658, -1109318, -1663978?\n\"Answer: -554660*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 4*v + 31 = 0, -3*v = -285 + 297 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10209 minus -0.1?\nAnswer: 10209.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-3)\/(-5))\/(312\/23917400) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = -5*m + 12, 5*u + 2*m - 25 + 7 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 + 11*v**2 - 8*v + 28. Determine p(8).\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.3 + 0.38. Let t = s + -1.28. Let k = 0.22312 + -0.02312. Which is smaller: t or k?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1012010010 + 111220?\nAnswer: -1011121020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -893 - -904. Let o = 8 + -37. Let x = o + 40. Calculate the greatest common factor of x and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, 0.17, 2265 in descending order.\nAnswer: 2265, 3\/4, 0.17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 986053.5 rounded to the nearest 10000?\nAnswer: 990000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 35206987 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 AM and 7:31 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -9*o + 2. Let q be b(-1). Calculate the greatest common factor of q and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 divided by 50?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1.033 or 1\/1845?\nAnswer: 1\/1845","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t - 7. Let b(q) = 6*q - 35. Let z(s) = -2*b(s) + 11*v(s). Give z(7).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 194123434?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/6)\/(-8*(-3)\/30)*(-6734)\/7215?\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1602707 by -23921.\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1470 by -3.\nAnswer: -490","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10488 and 1311?\nAnswer: 1311","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-27)\/(-18) + 2\/(-4). Suppose 0 = 2*h - 4*h. Let q = -207\/145 - -24\/29. Which is the nearest to h? (a) w (b) q (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -24, -62, -100?\n\"Answer: -38*g + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 4*o = 8, -9 + 1 = -2*u - 3*o for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 AM and 10:00 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-3)\/7*98\/21.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gm when two letters picked without replacement from {g: 10, f: 6, m: 1}?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 24780 to the power of 1\/2, to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 32, -4, 0, 1\/4, 0.01 in decreasing order.\nAnswer: 32, 0.3, 1\/4, 0.01, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 - ((9 - 1 - -4) + -51 + 45)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 143 - 4568*z + 6*z**4 - 17*z**3 + z**4 + 9146*z - 4577*z wrt z.\nAnswer: 84*z**2 - 102*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2 + 15*h + 1. Suppose -5*w + 287 - 77 = 0. Suppose 5*n - 2*g - 69 = 0, 0 = -0*n - 3*n + g + w. What is the lowest common multiple of p(n) and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 118 - 116. Let k(s) be the first derivative of -4 - 4*s**3 + 12*s + 6*s**j - 4*s**4 - 4*s**2 + 6*s**2. Factor k(d).\nAnswer: -4*(d - 1)*(d + 1)*(4*d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/(-3))\/((-2)\/(-6)). Suppose 4*a = -2*n + 488, -y*n = -0*a + 2*a - 498. Suppose 0 = -0*z - 2*z + n. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 989416192 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 22697*y**4 - 10582*y + 146748447?\nAnswer: 90788*y**3 - 10582","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -2. Let w be 2\/9 - 10\/18. Let g be (8\/10)\/(4\/(-10)). Which is the nearest to u? (a) -5 (b) g (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/7)*(m**(-4)\/m)\/m*(m\/((m*m**(2\/5))\/m))\/(m*m\/(m**3*m*m*m)))**(29\/4) assuming m is positive.\nAnswer: m**(-1131\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -11*f - 6. Let k be f + (-8)\/(-5) + (-32144)\/(-410). Round k to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3*2\/(-9))\/((-1694)\/(-231)).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1309458.15 nanoseconds in weeks?\nAnswer: 0.000000002165109375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/7 (b) 2 (c) 20 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 3*g**3 + g**2 - 2*g**3 - 3 + g - 2*g**3 + 4. Let l(i) = 2*i**3 + i**2 - i + 1. Calculate -l(x) - n(x).\nAnswer: -x**3 - 2*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 73, 92, 119, 154?\nAnswer: 197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 5*k = -10, 347*r - 352*r + 13*k - 102 = 0 for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -4. Let o(z) = 18*z**2 + 10*z + 2. Let w(j) = 72*j**2 + 39*j + 8. Let a(d) = f*w(d) - 9*o(d). Suppose a(i) = 0. What is i?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 964573?\nAnswer: 19, 50767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express p**2 + p**3 - p**2 + (3*p**2 - 3 + 3)*(-2 + 2 - p) + (-1 + 1 - p)*(-p**2 - 4*p**2 + 6*p**2) as t*p + w + n*p**2 + a*p**3 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of p**7\/630 + p**6\/180 - p**4\/36 - p**3\/18 - 20*p**2. Factor v(r).\nAnswer: (r - 1)*(r + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 195 - 143. What is the least common multiple of j and 32?\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -206688 and -206691 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 24534 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 884 is divided by 109?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -505738674 by 9.\nAnswer: -56193186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-406)\/198 + (-6)\/27 and 49\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - -2243?\nAnswer: 2250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 771645047 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -6*h - 11 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-9324)*-7)\/((-36)\/108).\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(1216))**2*5*-4.\nAnswer: -24400 - 640*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*w**2 + 49 - 8*w**4 + 17*w**4 - 49 wrt w?\nAnswer: 216*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1524*i + 15*i = -14075 + 494 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -29*u**3 - 21*u**2 - 34*u + 23. Let a be (-234)\/34 + 0 - (-22)\/(-187). Is g(a) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1325037 (base 8) in base 9?\nAnswer: -625208","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 112713833 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 28163 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-174)\/29)\/(2*(-2)\/6). Solve 0 = -3*s - 6 + u for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -9. Let f = 138 + -96. Suppose -12*x = -13*x + f. What is the highest common factor of x and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 96 - 94. Suppose -4*q + 2*m + 736 = 0, 0 = -0*m - j*m. List the prime factors of q.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 2*d = 4575, 41*h + 3*d = 46*h - 7624. Is h a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 2*w - 2 - 5 - w. Let l be ((5 - 2) + -4)\/1. Let j be (-20)\/2*l\/2. What is n(j)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a micrometer in nanometers?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - -11011011?\nAnswer: 11011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 10 - (24 + 8 + -20 - 16)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of -50\/3*s**3 + 21\/2*s**2 + 0*s + 132. What is the second derivative of k(z) wrt z?\nAnswer: -100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 4*h. Let g be d(-2). Let v = g - -10. What is the tens digit of ((-44)\/5)\/(v\/(-5))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28 and 1348.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8982 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40109502.\nAnswer: 2, 3, 769, 8693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the third derivative of 167*a**7\/210 - 2*a**6\/15 - 3383*a**5\/60 + a**4\/12 - a**3\/3 - 7384*a**2. What is the third derivative of c(b) wrt b?\nAnswer: 4008*b - 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22618 + -22618. What is the fifth biggest value in t, -2.4, 14, 0.3, -0.4?\nAnswer: -2.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - d = -6. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -9*95\/(-30)*4. Suppose v + 443 = f. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.007498131 rounded to five dps?\nAnswer: 0.0075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/80 of a centimeter in micrometers?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zxj when three letters picked without replacement from xujjuz.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (9794\/498)\/(7\/(-3))*(-28)\/(8\/2)?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -23*m + 25. Let s(q) = 10*q - 10. Let i(j) = -14*s(j) - 6*t(j). Let y(z) = -10*z - 51. Determine -11*i(c) + 2*y(c).\nAnswer: 2*c + 8","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1164 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 84*w**2 - 9*w - 13. Let m be i(10). Suppose -m = 8*a + 2711. Let s be a\/72 - 1\/(-9). Is s at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 - 8*v - 3. Let o be c(9). What is the third derivative of 4*f**6 - f**2 - 39*f**5 + 39*f**5 - 11*f**o wrt f?\nAnswer: -840*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104 is divided by 55?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4270 and 84.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 35*m - 8 - 5 - 32*m.\nAnswer: 3*m - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**20*m**(7\/5) assuming m is positive.\nAnswer: m**(107\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/5 - 8\/5*s**2 - 11\/5*s.\nAnswer: -(s + 1)*(8*s + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 2 m when four letters picked without replacement from mahahmmamhmammhmhmh.\nAnswer: 45\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4861 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2469, -10306, -23369, -41658, -65173, -93914?\n\"Answer: -2613*y**2 + 2*y + 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1139254 to the power of 1\/2, to the nearest integer?\nAnswer: 1067","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 3 = 12, k - 85 = -2*y. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 136 is divided by 21.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 8531 divided by 6\nAnswer: 8531\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 21 = -15*x + 20*x, 4*x - 20 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 28 - 20. Suppose 0 = 2*s + 2*z - 18, 5*s + 0*z = 5*z + 5. Suppose 2*p - 1 = s. Solve p*m = q*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1121 - 419 = -10*m. Calculate the remainder when m is divided by 39.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2326 <= 16276\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -9 + (84 - (26 - -92)).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3221636 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -21.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 182 divide 3312946?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 85*z**3 + z**2 - 1. Determine k(-1).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2805 divided by 1945?\nAnswer: 561\/389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.587 rounded to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 4*s + 5 = 0. Let h be (-4)\/32*(1 + s). Let i = 2.93 + -0.93. What is the nearest to i in -2, h, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 173152 divided by 1546.\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -6706214.5 from -1.\nAnswer: 6706213.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 2 + 110*x - 35*x.\nAnswer: 75*x - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 2 = 24. Let t = d + -6. Calculate the highest common divisor of t and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2866 - 522. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1583106 - 47*f + 1583106.\nAnswer: -47*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 7*x**3 - 14*x**2 + 7*x - 7. Let z(f) = f**3 - f**2 - 1. Let v(t) = -j(t) + 6*z(t). What is the units digit of v(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*x + 89*y - 84*y = 98, 0 = -x - y - 20 for x.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:44 PM and 7:11 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 148617*n**2*r - n*r + 3175*r wrt n?\nAnswer: 297234*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of 5*n**3\/6 - 2*n. Let y be c(1). Solve -3*j - 10 = -j - 3*l, -4*j = -y*l + 18 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9052.1 - -8370. What is q rounded to the nearest ten?\nAnswer: -680","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/728 and -79\/4888?\nAnswer: 34216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + 6 - -8 - (-10 + 7 + 0).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p + 137. Let t(s) = -355*s**2. Give t(f(m)).\nAnswer: -355*m**2 - 97270*m - 6662995","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 8 = -1. Which is greater: 0 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1051708 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/11 in 8, 2\/7, -6\/13, -922?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -326 - -314. Let w be (23\/8 - 3)\/(4\/h). Let r = -341\/714 - -13\/34. What is the third biggest value in -2\/5, 0.4, w, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-71)\/(-6))\/((-2)\/3). Let v = 18 + i. Let s = -28 - -28.1. What is the closest to s in 2, 0.1, v?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -31*m - 3. What are the prime factors of q(-2)?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 108 and 1026594?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2\/3 + 17101*n\/3 - 4179544\/3.\nAnswer: -(n - 16853)*(n - 248)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 25051 at most as big as 21723?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 16*i - 2. Let f be v(1). Let m = 125 - 27. Calculate the greatest common factor of f and m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j**(-1\/13)*(j**9\/j*j)\/j)\/(j**8*(j*j**14\/j)\/j) assuming j is positive.\nAnswer: j**(-144\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 92*i**3*l**3 - 157946*i**2*l - 2*i*l**3 - 2*i*l**2 - 5241*l**3 - 4 wrt i?\nAnswer: 552*i*l**3 - 315892*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22)\/(-220)*6*-1.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a hour in seconds?\nAnswer: 2160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m - 2 + 5*m - 9*m + m**4)*(0*m - 2*m + m).\nAnswer: -m**5 + 3*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 4, 2\/23, -12, 2070?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -35, 0, -6 in decreasing order.\nAnswer: 0, -6, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((0\/2)\/(-3))\/(1 + 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -168 + 169*x**3 - 179 + 354 + (2*x + 2*x - 2*x)*(x + x**2 - x).\nAnswer: 171*x**3 + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*t - 27*t + t + 7*t.\nAnswer: -50*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -14 (b) 5 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 355.7606mg?\nAnswer: 355760600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -52 - -79. Suppose -4*p + 5*i = a, -9 = p - i - i. Is (-1)\/(-1) - (-6 - p) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1171 - 10474\/9. Let s = -6\/7 - -38\/7. Calculate the common denominator of v and s.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -2*x**3\/5 - 294*x**2\/5 - 14406*x\/5 - 235298\/5 = 0.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 10*t + 67. Let g be p(-6). Suppose r = -5*u + g, -5*u + 7 + 2 = 2*r. Which is the fourth smallest value? (a) -0.1 (b) u (c) 18 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - r = -24, 0 = 2*v - 4*r - 0 + 6. Suppose -3*s + 8 = -5*s. Which is greater: v or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39084258 plus 217?\nAnswer: 39084475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = -2*t - 0 + 4, -t = -5*s + 11 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-9)\/21 - (3 - 264\/28). Suppose 0 = -o*p + 7*p - 3. Sort p, -4, 5, 2 in ascending order.\nAnswer: -4, 2, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 907 + -909. What is the second biggest value in 0.5, -371\/2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l + 0 + 2 - 3*l)*(3*l**3 - l**3 - l**3 + (-5*l**2 + l**2 + 2*l**2)*(-2*l - 4 + 4)).\nAnswer: -20*l**4 + 10*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -59368, -116807, -174242, -231673?\n\"Answer: 2*r**2 - 57445*r - 1925","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*n + 2*n + 45 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - (-2 + (0 - (7 + -30)))) + 5.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, j: 10, i: 4, n: 1}. What is prob of picking 1 n and 1 s?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 3*p + 1581 = 0, 20 = -4*p - 0*p. Calculate the common denominator of -23\/16 and h\/288 - 2 - (-3)\/(-8).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 178484256 and 288.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 78 and 4238?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -3*r**3 - 21*r**2 - 13*r + 1. Let i(q) = 3*q**3 + 20*q**2 + 12*q - 1. What is -6*i(n) - 5*u(n)?\nAnswer: -3*n**3 - 15*n**2 - 7*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-10))\/(-5*(-24)\/(-8880))\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nphs when four letters picked without replacement from pspnpsshsssspsh.\nAnswer: 8\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p**2 + 66*p - 2*p**2 + 7373*p**3 - 6023*p**3 - 23*p.\nAnswer: 1350*p**3 + 43*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 83 - 53. Suppose -5*u + 25 = k, -u + 2*k - s = -6*u. Suppose -u*q - 24 = -4. What is the second smallest value in q, 5, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -151 - -185.2. Let m = f - 33. Round m to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1909470 to the power of 1\/5, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01320673163 to 5 dps.\nAnswer: 0.01321","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 83.27001 nanoseconds to seconds.\nAnswer: 0.00000008327001","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23.073 + -631276.\nAnswer: -631252.927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -48 times 22\nAnswer: -1056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.2323 or 58174?\nAnswer: 58174","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1*(-1)\/2*28\/6*(-135)\/(-45)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.1 + 25?\nAnswer: 8.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 18.7, -0.1.\nAnswer: -2, -0.1, 18.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 961 + -1d7?\nAnswer: 768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a**(-1)\/a))**(-4)\/((a*a\/((a\/((a\/a**(-1\/3))\/a))\/a))\/(a\/a**(-1\/6))) assuming a is positive.\nAnswer: a**(-79\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -9285435 divided by -68781?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 - 9*d + 5. Determine s(7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1073883098.\nAnswer: 2, 17, 31584797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, a: 5}. What is prob of sequence ya?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1718*w**3 + 3435*w**3 - 114*w**2 - 1719*w**3 + 11 to g*w**2 + i + u*w + h*w**3 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1077090?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.2 + -1.6. Let g = 6 + -2. Let b = g + x. Put b, 5, -5 in decreasing order.\nAnswer: 5, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1200212202 - 10?\nAnswer: 1200212122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7008?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -2*z**3 - z**2 - 2*z. Let l(v) = -5*v**3 - 3*v**2 - 6*v. Let r(b) = -3*l(b) + 8*t(b). Give r(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -28, -57, -5, -30, 1 in descending order.\nAnswer: 1, -5, -28, -30, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 53082760 to the power of 1\/3, to the nearest integer?\nAnswer: 376","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.01 + -2.6. Let r = -0.01 + k. Let p = r + -0.411. Round p to 2 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17 + -8. Suppose -z = -6*x + 183. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -123066 (c) 2\/165\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4\/13 (b) 1\/10 (c) 5 (d) -0.22\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -696.2, -1, 2, -75.7 in ascending order.\nAnswer: -696.2, -75.7, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38174639.\nAnswer: 17, 37, 137, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1579*q + 84*q - 1692*q + 707*q to the form h + l*q and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 1)*(-9 + 18 - 12*j - 10) + 0 + j + 0.\nAnswer: -23*j - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -3*y + 2. Let m be -1*(-2)\/2*3. Suppose -4*f = 2*b - 26, y*b - m*b - 23 = -4*f. Is f a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 179475383 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**2 + 2*h - 3. Suppose 4*f - 2*q = -18, -4*f + f = -q + 13. Let s be (6*5\/(-20))\/(f\/(-8)). Calculate w(s).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -42 - 18. Let w = c + 96. Suppose 4*f = -w + 108. Solve -2*m = -2*u - 12, 3*m - f = 2*m + 4*u for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-39)\/189 - 22\/99\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-1)\/(8\/4*1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/7))**41\/(u**3)**(-5\/6) assuming u is positive.\nAnswer: u**(-129\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 11*c - 23. Let i be m(16). Suppose -68 = 3*g - 7*g. What is the greatest common divisor of g and i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1696 - 33*n - 1696 to f + o*n and give o.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - 2390069?\nAnswer: -2390065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23\/33 + 4\/11. Let j = -0.18 + 0.08. Let w be 0 - (-1)\/18*-3. Which is the closest to j? (a) k (b) w (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34189*j + 34194*j = -80 for j.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -225, 9, 3, 50 in descending order.\nAnswer: 50, 9, 3, -225","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 - (-14)\/4)*4. Suppose k*i - 36 = -3*i. Suppose 4*o - 821 = -5*l, -i*l - 2*o + 813 = l. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 u when three letters picked without replacement from {u: 3, o: 3, y: 6, b: 1, v: 5}.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*n + 6 = -12*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 5*w - 4*a - 360, -3*w + 5*a = -232. Let v = 153 - w. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -2*v - 4*a + 2*a, 2*v = 5*a + 30. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vf when two letters picked without replacement from {l: 3, v: 3, f: 2}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 4 - 41\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 2, -299 = 4*l - 2*c + 3*c. Let y = l + 451\/6. Let h = -0.09 - -5.09. What is the third smallest value in 0.3, y, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-6)\/p**(-3)*((p\/((p\/(p*p*p**(1\/6)*p*p))\/p))\/p)\/(p*p**(-2\/7)\/p))**(3\/16))**14 assuming p is positive.\nAnswer: p**(61\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 - 7*h + 1. Let s be v(7). Let n(u) = -4*u**3. Let y be n(s). List the prime factors of y\/6*18\/(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -10219\nAnswer: 5\/10219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 11338319 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4375812694?\nAnswer: 2, 11, 198900577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaaappappa. What is prob of picking 2 a and 1 p?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(57) + -3*sqrt(5700))\/sqrt(3).\nAnswer: -29*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 4, i: 1, j: 10, h: 4}. Give prob of sequence hkhj.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47554 is divided by 23776.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 36 = 2*o. Suppose 4*u - o = 2*z + 2*z, u = -z + 1. Suppose -1580000 = -u*p + 7*p. Round p to the nearest 100000.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by 17014838.\nAnswer: -7\/17014838","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 13\/5, -8\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 11:21 AM?\nAnswer: 4:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 451758 is divided by 5509.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of -b**6\/720 + b**5\/15 + b**4\/24 - 27*b**3\/2 - 8*b**2 + 10*b. Let l(v) be the second derivative of u(v). Determine l(9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4aa21 (base 16) to base 5\nAnswer: 34240242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15\/7 and 35\/593588.\nAnswer: 4155116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (8 - 19\/(190\/120))\/((-3)\/12)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 64*q - 65*q + r, 4*r + 21 = 5. Calculate the least common multiple of q and 9\/(1 - 1 - -1).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of 0*h**3 - 2*h**5 + 0*h**4 - 9\/2*h**2 + 10 + 0*h. What is the second derivative of f(t) wrt t?\nAnswer: -120*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c + 3. Let v be i(-6). Suppose -q - v = -25. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -b9 (base 13) to base 2\nAnswer: -10011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tq when two letters picked without replacement from tqttqtzqqq?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 971, 3893, 8797, 15707, 24647, 35641, 48713, 63887?\n\"Answer: 4*w**3 + 967*w**2 - 7*w + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -13665 (base 15) in base 11?\nAnswer: -42801","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 - -20. Suppose d = f + 4*f. Suppose x - 10 - f = 0. Does 12 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {u: 3, s: 12, o: 2}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 412, 1543, 3422, 6043, 9400, 13487?\n\"Answer: -a**3 + 380*a**2 - 2*a + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 2674936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2537173654 - 0?\nAnswer: 2537173654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -r**5\/5 + 420319*r**4\/5 - 44168066222*r**3\/5 + 220831084178*r**2\/5 - 132494111121*r\/5 - 397493681841\/5 = 0?\nAnswer: -1, 3, 210157","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -2*i + 1 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -725497 divided by -11\nAnswer: 725497\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*s**3*y**4 + 2*s**3 + 62*s**2*y**4 + 807*s*y wrt y.\nAnswer: 24*s**3*y**2 + 744*s**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.254 times 0.72\nAnswer: 0.18288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.75 - 116.\nAnswer: -116.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/28794770 and -103\/33876200.\nAnswer: 575895400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.3191 + 18.6809. Which is the nearest to -0.1? (a) 2 (b) 1\/2 (c) -6 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -134216, -268454, -402692, -536930, -671168?\n\"Answer: -134238*k + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -49592, -99159, -148716, -198263, -247800, -297327?\nAnswer: -346844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7708107 is divided by 1999?\nAnswer: 1962","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 28*p**2 + 5409*p - 5413. What is o(1)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -866957 divided by 49?\nAnswer: -17693","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u - 171 + 159 - 3*u. Let q(c) = 2*c + 1. Let w(v) = -f(v) - 2*q(v). Let t be w(5). Solve 0 = k - 4*o + 22, -k + 23 = -t*o + 5*o for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -9 and -1087.\nAnswer: -1096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8.50399916 - 8.504. Round f to 6 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -39 + 25. Let d(j) = -j + 11. Let o be d(s). Suppose 4*x - k = -0*x + o, 40 = 3*x - 5*k. Which is the smallest value? (a) x (b) -2\/9 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -294848, -294921, -294994?\nAnswer: -295067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 1312251\nAnswer: -2\/1312251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 38294 > 31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/3480 and -115\/9396?\nAnswer: 93960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -82*z + 913. Give x(11).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2888*f + 246. Calculate c(-1).\nAnswer: -2642","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6\/(-7))\/((-2)\/(-14)). Let i be (-9)\/o*(5 + 1). Suppose -4*m + 92 = -r, -5*m - 4*r - i = -124. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -355*v - 285*v - 895*v.\nAnswer: -1535*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*j - 9414 = -9978 for j.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 2:48 PM?\nAnswer: 11:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*r - c + 4 = 4*r, 3*r + 4*c = 16 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-12)\/9)\/(1\/3). Is ((-10)\/(-3))\/(s\/(-66)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28009505.\nAnswer: 5, 29, 6661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*l + 327 - 465 + 226 = 0. Let i be 2 + (-15)\/9 - 0. Let s = -0.7 + -0.3. What is the closest to s in l, i, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*c = 1234 - 3106. Suppose -12 + 77 = 5*t. What is the highest common factor of t and c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 n when four letters picked without replacement from nnnznnnnnznnznnn.\nAnswer: 11\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -2*p + 30 + 18, 0 = 4*j + 12. Suppose p - 5 = 4*v. Put v, 1\/4, 5 in descending order.\nAnswer: 5, v, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jvvhvvvvzhfhvhhj. What is prob of picking 1 j and 3 h?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5\/((-20)\/48) + 4\/2. Let d be ((-18)\/l)\/(15\/25). Suppose -d*g + a + 37 = 2*a, -47 = -5*g + 2*a. What is the lowest common multiple of g and 4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, y: 1, l: 1}. Give prob of sequence lyb.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1324178 or -6620896\/5?\nAnswer: -6620896\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3137 is divided by 285?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8504444 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = u + 8, c = u + 1 + 1. Let t = -0.3 + 3.3. Is t greater than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.054 - 4.946. Let m(h) = -5*h**3 - h**2 + h - 2. Let i be m(-2). Let u be 5 - 3 - i\/18. Sort u, v, -1\/6.\nAnswer: v, -1\/6, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*t**5 + 36*t**2 - 47*t**3 + 101*t**3 - 173*t**4 - 54*t**3 + 205*t**2 wrt t.\nAnswer: -120*t**2 - 4152*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -33916, -67511, -101106, -134701?\n\"Answer: -33595*l - 321","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -616 + 614. Let j be 1\/((-33)\/15 - -2). Put 5, v, 1, j in descending order.\nAnswer: 5, 1, v, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**2\/5 + 3084978*v\/5 + 299271093\/5.\nAnswer: -3*(v - 1028423)*(v + 97)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00013533311 rounded to 7 decimal places?\nAnswer: -0.0001353","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8 + -33.77465263.\nAnswer: -25.77465263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -36*b*i**3 + 2383*b*i - 209*b + 7242*i**4 wrt i.\nAnswer: -216*b*i + 86904*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from {t: 16, q: 4}?\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 16779?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the third derivative of -4*o**2 + 0 - 1\/24*o**4 - 1\/360*o**5 + 0*o - 1\/4*o**3. Factor b(t).\nAnswer: -(t + 3)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6949 is divided by 65?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 436997 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - 2286\/42 - (-266 - -266 - 4\/(-7)).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of -z**3 + 5*z**2\/2 + 4. Let m(x) be the second derivative of x**4\/3 - x**3 - 2*x. Determine 6*b(u) + 5*m(u).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 125707?\nAnswer: 125707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*q + 0*q + 2*q)*(6 + 8 - 13)*(-1 - 2*q + 1) + 0*q**2 - 2*q**2 + q**2 as g + w*q + l*q**2 and give l.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 245607 - 188850. Is 4\/(-6) - d\/(-81) 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 2243 and 1590.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 9) to base 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-16)\/(-6)*9\/(-2). Let k be (-35)\/60 + (-1)\/b*3. Which is bigger: k or -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 6*d - 1115. Suppose -5*j = -4*g - d, 0*j + 3*g = -3*j + 123. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -362 - -370. Let l = -42 + 22. Is 4 a factor of d\/l - (-171)\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:32 PM and 5:52 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 9*n**2. Suppose -2*c = -56 + 8. Suppose 2*k + c = 72. Let s(y) = 24 - k + y. Give l(s(f)).\nAnswer: 9*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 5*c + 106 = 0, 0 = 2*o + 2*c - 4*c - 68. What is the highest common divisor of o and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6941715.\nAnswer: 3, 5, 11, 42071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 262 = 38. Let d = b + 87. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-25 + 22)\/(9\/(-2) - -3)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 132 and 4092.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2\/37 and -91\/10.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 24 + 246153?\nAnswer: 246210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 6*r - 15 = 0, -2*r - 22 = -4*d. Let u = -33 + 37. Solve -u*j = -4*p - 16, -d*j + 10 = p + p for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20804 - 15924. What is the greatest common divisor of r and 240?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10852762 to the nearest integer?\nAnswer: 3294","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/389, -3, -0.27, -2, -0.5, 26.\nAnswer: -3, -2, -0.5, -0.27, 2\/389, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence anaa when four letters picked without replacement from annaaaa.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**2 + 7*t**2 - 5*t**2)*(-2*t**3 - 3*t + 3*t).\nAnswer: -8*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -260*q**3 - 394*q**2 - 209898*q wrt q.\nAnswer: -1560*q - 788","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 272405171 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 + 23*a + 29. Let z be m(-22). Let c(r) = 8*r - 46. Calculate the remainder when 78 is divided by c(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 2*p + 14 = -2*p, -i + 2*p = -8. Let x be (-1)\/i + 87\/(-54). Let n = -43\/63 - x. Which is greater: -1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(325) + 2 + ((-1 + sqrt(325))*-4 - sqrt(325)))*-3 + (sqrt(13) + (sqrt(156)\/sqrt(3))\/sqrt(4) + 4 - -4*-2*sqrt(637)))**2.\nAnswer: -204*sqrt(13) + 757","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 r when two letters picked without replacement from {k: 6, r: 1, f: 4}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4559362?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 0.6 (c) 8\/9 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (6*(2 + sqrt(252)) + -1 - (1 + -6*(sqrt(252) + sqrt(252) + 2)))**2.\nAnswer: 4752*sqrt(7) + 82137","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*b - 0. Let v(z) = -z**b + 3 - 6*z - 7*z**2 - z - 11. What is v(-6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 191*p**3 + 11*p**2 + 2. Let b(o) = -95*o**3 - 5*o**2 - 1. Let g(y) = 13*b(y) + 6*r(y). Is g(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t = 5*t - 132. Suppose -24 = -6*m - t. Factor 1\/5*a**m + 3\/5*a + 2\/5.\nAnswer: (a + 1)*(a + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -193, -194, -195?\n\"Answer: -p - 192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.02 + -0.42. What is the nearest to 0 in 0.2, w, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1475?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 3*w**2 - 27*w + 47. Let x(v) = -2*v**2 + 18*v - 31. Let y(t) = -5*r(t) - 8*x(t). Let g be y(5). Is g greater than -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -39*f**2 + 78*f + 3. Let d be p(2). Solve -2 = 5*n + d for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 669356 and -0.6.\nAnswer: -401613.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52237.88 nanometers to kilometers.\nAnswer: 0.00000005223788","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63237.\nAnswer: 3, 107, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2)*(3*j - 3*j + j)*(4*j + 4 - 4)*(2 - 2 + 4*j).\nAnswer: -32*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of 2*v - 1\/4*v**4 + 2\/3*v**3 + 3\/2*v**2 + 28. What is u(-2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140*w + 2*y = 830, -2592*w = -2590*w + 2*y - 2 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -145, -1394, -4823, -11518, -22565?\n\"Answer: -181*f**3 - 4*f**2 + 30*f + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the third derivative of -c**6\/15 - 73*c**5\/30 - 1645*c**3\/6 - 2537*c**2. Find the first derivative of l(h) wrt h.\nAnswer: -24*h**2 - 292*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1095?\nAnswer: 3, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-29 - (1 - -1) - 1) + (-52 + 159 - 105)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 3 w when four letters picked without replacement from xwwwxwwwwwwxwwww.\nAnswer: 33\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 d, and 2 i when four letters picked without replacement from {i: 6, p: 3, y: 3, d: 6, c: 2}.\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 + 47*l**2 + 174*l + 90. Let q be b(-43). Let s = 50 - 14. Solve -5*k - 25 = -z, -8*z + 4*k + s = -q*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -4*h**2 - 112*h. Let r(o) be the third derivative of -o**4\/12 + 205*o**2. Give r(t(n)).\nAnswer: 8*n**2 + 224*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (5 - 3) + (-235)\/(-2). Let d = -88 + y. Find the common denominator of -47\/8 and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1136*d**3*m + 2*d**3 - d**2*m**3 + 114*d*m + 4*d + m**3 - 3*m**2 wrt d?\nAnswer: -6816*d*m + 12*d - 2*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.041 - -0.0475. Let o = n + 0.1335. Let q = 0.38 + -0.08. Which is the closest to 1\/2? (a) o (b) q (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37254865 to the power of 1\/3, to the nearest integer?\nAnswer: 334","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 250 - 177. Let g = -20708 - -20708.1. Is g greater than or equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0293 minus 0.5?\nAnswer: -0.4707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2356.47*-2.4.\nAnswer: 5655.528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000007795 rounded to seven decimal places?\nAnswer: -0.0000078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 12 = 2*g + 4*x, -2*g = 5*x + 15. Let j = 48 - 14. Suppose 3*b + j = 3*o + 94, -2*o - 2 = g. Does 8 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 213137 to the nearest 1000.\nAnswer: 213000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 765963, 765962, 765961?\n\"Answer: -u + 765964","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*c + 3*i - 75, -2*c - 1748*i = -1743*i + 15 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 5*o + 24. What are the prime factors of t(10)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 - 3*t**2 + 4*t. Let y be i(-4). Let d(u) = 16 - 64*u + 22*u + 17*u + 30 + 24*u. Is 4 a factor of d(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 - -17.2. Let d = 5.6 - r. Let j(w) = w + 1. Let x be j(-5). Which is the nearest to -2\/5? (a) x (b) 0.5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 360*j**2 + 8*j + 12. Determine l(-1).\nAnswer: 364","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 13 + -10 - -10\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 2 = 5*a, 5*m = -2*a + 53 - 48. Solve 0 = -3*l - a*l - 6 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-140)\/(-126)*(-5)\/(100\/24)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 17 - 5*s - 10*s**2 - s**3 + 4*s**2 - 11*s**2 - 10*s. Let w be r(-16). Is w at most as big as -3\/16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 5*d - 11, -d + 6*j - j + 13 = 0. Let g(y) = 6*y - 4. Let p(f) = 1. Let w(s) = g(s) + 4*p(s). Give w(d).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of s**4\/4 + s**3\/3 + 198. Let u(m) = -42*m**3 - 35*m**2. What is -105*h(k) - 3*u(k)?\nAnswer: 21*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*(c*c*c**(-1))\/c*(c**28*c)\/c)**(8\/3) assuming c is positive.\nAnswer: c**(232\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*j + 5*j + j**3 + (-4*j**2 + 2*j**2 + 0*j**2)*(-j + 0 + 0) + j**3 - 3*j**3 + j**3 + 2*j**3 - 2*j**2 + 2*j**2 + 90*j**3 + 100*j**3 - 70*j**3.\nAnswer: 124*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-32)\/(-12) + -1)*(-6534)\/11. Let o = v + 2930\/3. What is the common denominator of o and -23\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0894 - -26136592802\nAnswer: 26136592801.9106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -124.6 + 124.599991912. Round h to six dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4 + 1)\/(-10) - 17885\/(-10). Let w = 2920 - v. List the prime factors of w.\nAnswer: 2, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -3*a**2 + 24*a + 20. Give x(10).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11567?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qaqqqqqqtqaqqaqq. Give prob of picking 1 t, 1 q, and 1 a.\nAnswer: 9\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -5, 23, -2, -9 in ascending order.\nAnswer: -10, -9, -5, -2, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 36\/27*(-3 + (-84)\/(-22))?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 73*x**2 - 9*x - 9. Let u = -104 + 102. Let k be s(u). What is the greatest common divisor of k and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6868 (b) 4 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 + y**2 - y - 1. Let r(h) = 3*h**3 + h**2 - 3*h. What is k(q) - r(q)?\nAnswer: -2*q**3 + 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2\/5 - 14398*n - 20221656\/5.\nAnswer: -(n + 282)*(n + 71708)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/3 - 124\/(-6). Suppose 51 = z - p. Let o = -72 + z. Solve -5*b + 6 = -3*u - o*u, 0 = -3*b for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**2 + 8*o - 4. Let q be x(7). Suppose -q*a = 2*a. Suppose 3*r - r - c + 4 = a, 4*r = -2*c. Which is smaller: r or 1\/3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -29, -132, -305, -548, -861?\n\"Answer: -35*z**2 + 2*z + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 4 = 37. Suppose -2*z + g = -v, -4*z + 3*z = -3*g - 13. Let r = z + 53. List the prime factors of r.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 5 = -25. Let k(b) = 3*b**2 - 5*b + 6. Let j be k(o). Suppose -6*i = -j - 4. List the prime factors of i.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -2*g - 15, 2*g + 4*j = -0*j - 10. Suppose g*h + 10 = -4*d, -4*h - 5*d - 2 = 15. Suppose 0 = i - 3*i + h, 2*i - 17 = -k. Is k a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qxoqhhh. Give prob of sequence qq.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/b**(-18)*b))**34*(b\/b**7)**(-10\/3) assuming b is positive.\nAnswer: b**(-626)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 38519?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-12)\/(-28) + (-165)\/(-7). Let k = -20 + v. Let r(c) = -c**2 - 2 - 3 + 8*c**2 - 6*c**2 - 4*c. Determine r(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 4, 10.75, -0.2, -3\/136, -3?\nAnswer: -3\/136","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (15*1693)\/(54\/36000). Round h to the nearest 1000000.\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 11 + (-47 - -19)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*m - 13*m + 0*m - 2*m + 6*m.\nAnswer: -9*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -211, -2, 4.\nAnswer: -211, -4, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the second derivative of f**5\/20 - 5*f**4\/12 - 11*f**3\/6 + 5*f**2 + 6563*f. Calculate v(6).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -84*(-1)\/66*(15 + 4 + -8)*2\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16*(16\/24)\/(32\/(-12)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -33 + 32 + (-2 + 0 - 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1383458 is divided by 583.\nAnswer: 582","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1 + 0.11. Let v = 1.99 + n. Let p = -0.9 + -0.1. Which is smaller: v or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + p + 7 = 0, -7*p - 13 = 3*n - 2*p. Let c be 2*65 + -2 + n. Suppose 2*f + 15 = c. Calculate the highest common divisor of 8 and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/2384946 and -65\/108?\nAnswer: 14309676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(7\/3)*d*d*d**(2\/9)*d)\/(d**(2\/11)*d**0\/d*d))**(-3\/14) assuming d is positive.\nAnswer: d**(-38\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a day in minutes?\nAnswer: 192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 471 = 4*w - 1507 - 358. Which is smaller: w or 583?\nAnswer: 583","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from siamtai. What is prob of picking 1 t and 1 i?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -19666682.5 to the nearest 1000000.\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xcxxxcefxxfxxxxc. Give prob of sequence ec.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -2*j**4\/3 - 632*j**3 - 119360*j**2 + 50659328*j\/3 + 922746880 = 0.\nAnswer: -512, -44, 120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-1\/9))**(1\/9) assuming f is positive.\nAnswer: f**(8\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + 1. Let b = -7 - -6. List the prime factors of i\/(0 + b) - -12.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzm when three letters picked without replacement from ymzzzmmyyzz.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3595100?\nAnswer: 2, 5, 35951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 2 c when four letters picked without replacement from ckcdkkdceoecdon?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2421 (base 6) to base 5.\nAnswer: 4324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + -23?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 10306022 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 5*v - 382 + 342 = 0, -3*v + 32 = -4*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 37*v + 7*v + 14 - 12*v.\nAnswer: -42*v + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -3*22\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 129, 1298, 4487, 10710, 20981, 36314, 57723, 86222?\nAnswer: 122825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 6*r**2 - 668*r - 1342. What is w(-2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/2 - 2 - -25. Is 18 a factor of (114\/(-15))\/(1 + l\/(-20))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 51607, 53442, 56493, 60760?\nAnswer: 66243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(1700) + 1)*2*1 + (sqrt(1700) + sqrt(1700) + sqrt(1700) + 0)*-2*1)**2 + 3.\nAnswer: -160*sqrt(17) + 27209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2 - 2 + 5 + 5*i**4 wrt i.\nAnswer: 20*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/2720 and 21?\nAnswer: 2720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 280\/(-20020) - (-8)\/88.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*j - 2 - 8 + 10 as l*j + n and give l.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -6*q**3 + 3*q**2 - 10*q - 3. Let n(a) = 13*a**3 - 5*a**2 + 19*a + 5. Let l(p) = -5*i(p) - 3*n(p). What is the second derivative of l(y) wrt y?\nAnswer: -54*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lls when three letters picked without replacement from {s: 8, l: 4, v: 5}.\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2 + 4*z + 3. Let s be a(4). Suppose -120 = s*x - 504. Suppose 0 = -2*p - 6 + 38. What is the greatest common factor of p and x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -496, -575, -696, -853, -1040?\nAnswer: -1251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3179916 and 114.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5248 is divided by 1294.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 802396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1474*c**2 + 2*c - 2*c.\nAnswer: 1474*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + -44?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -75965.34662 rounded to the nearest ten?\nAnswer: -75970","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1245.4 + 1245. Which is the closest to 0? (a) d (b) 8\/13 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/256720174 and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 2 - 0. Let i(m) = 15*m - 1. Let t(w) = -5*w. Let g(y) = 3*i(y) + 8*t(y). Is 7 a factor of g(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + -2. Let w be (18 - 3)\/x*-1. Let l(n) = n**3 - 13*n**2 + 12*n + 2. Let u be l(12). Solve w*t + 5*a = 3 + 17, -u*t = a - 4 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 175165782?\nAnswer: 2, 3, 11, 2654027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -171813 divided by 57271.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3 - 4 - -3)*-1. Is 2 + (11 - a) + 0 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 60 = 2*d, 0*d = 4*x + d - 72. Calculate the greatest common divisor of 153 and x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3709?\nAnswer: 3709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x + 8. Suppose 4*s - 14 = 3*s - 4*j, -4*j - 58 = -3*s. Suppose 6*g - 9*g = -s. What is m(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 - f**2 - 2*f - 3. Let q be (-27)\/(-18) - ((-13)\/(-2) + -2). Give u(q).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1450 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2454537885?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + 1558f1?\nAnswer: 1558f5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23 + -25. Let q = -0.08 - 3.92. Which is the third biggest value? (a) i (b) 2\/7 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 1\/3 (b) 4 (c) -2\/9 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttattttaatttta. Give prob of picking 2 a.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nine tenths of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 8278, 16536, 24794, 33052?\n\"Answer: 8258*f + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53 + 10*y**2 + 127 - 74.\nAnswer: 10*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -268*s + 141*s = -158*s. Let w(i) be the third derivative of 0*i**4 + 0*i + s*i**3 + 0 + 1\/5*i**5 + 12*i**2. Let q(p) = -4*p. What is q(w(v))?\nAnswer: -48*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5087607ml in litres?\nAnswer: 0.0005087607","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + -5.7. Let t = -13.9 - y. Round t to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 182885*n**2*s**3 - 448033*n**2 + 2*s**3 wrt s?\nAnswer: 548655*n**2*s**2 + 6*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.2803247749 rounded to 4 dps?\nAnswer: -1.2803","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*g + 3*g + 6. Let r be (g - 2)\/(5\/((-20)\/12)). Solve r = -c - 3*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/436 and -55\/76.\nAnswer: 8284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 4 + 2*a - 2)*(0 + 0 + 5*a) in the form r*a**2 + l + n*a and give r.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 462527\/20 + -23121. Calculate the common denominator of -143\/3480 and q.\nAnswer: 3480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*s + 2267 = 1773 for s.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/3 of a day in hours?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 25002053 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.01 (b) 11815 (c) -0.04 (d) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 152 - 518 = 0. Let t be (-2170)\/42 - 4\/(-6). Let g = r + t. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oypyyopo. What is prob of sequence yopp?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 973 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/(-1*(0 - -1)). Let x(p) = p**2 - p + 4 + 5*p - 4*p. Let w be x(2). Solve z*s + w = -s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 5352*s - 5357. What is z(1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21555 or -21554?\nAnswer: -21555","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.3 + 0. Let x(h) = -h**2 - 3*h + 1. Let j be x(-3). Let f be (-96)\/51 + 2\/j. Which is the closest to -0.1? (a) 5 (b) f (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 131 = 5*p - 59. Suppose 0*j = j + 3*a - p, 2*a + 173 = 5*j. What are the prime factors of j?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -2*s**3 + 2*s**2 + 3*s - 3. Let r(i) = -2*i + 18. Let g = -9 - -17. Let t be r(g). What is x(t)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9525322 is divided by 1587551?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 14, -2 in increasing order.\nAnswer: -2, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 307866, 615806, 923746, 1231686?\n\"Answer: 307940*t - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 80.\nAnswer: -3\/80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = 0, 3*o + 4*j + 5*j - 3*j - 5 = -2*o + 10*j for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.1124 + -0.17. What is c rounded to three dps?\nAnswer: -0.058","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of 11*p**8\/112 + 71*p**7\/210 - 323*p**4\/3 + 23*p**2 - 23*p. Find the second derivative of z(b) wrt b.\nAnswer: 660*b**3 + 852*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 551 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*4*(0 + ((3 + sqrt(2) - sqrt(2))**2*-4 - sqrt(2)) + 4).\nAnswer: -384 - 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 3909?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lbmxblllyllvvl. What is prob of sequence xl?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000103306638 to four decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*v - 3*v**3 + 2 + 1601*v**2 - 4*v**4 - 1599*v**2 + 2*v**3 to u*v + k + l*v**2 + j*v**4 + z*v**3 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -6. Let 1 - t**2 + 0*t**2 + t**4 - t**h = 0. What is t?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1010001010001110 (base 2) to base 9\nAnswer: 63067","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 - 32*r**2 - 254*r - 87. Let p be d(-13). Which is the nearest to p? (a) 2 (b) -3 (c) 60\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 8:11 PM?\nAnswer: 5:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/14 + 30\/(-56). Let s = 33 - 35. Let g be (2\/7)\/2*s. Which is the nearest to -2\/5? (a) o (b) -1 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1160557 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 2*h - 4 = 3*b, 0 = b - 4*h - 5. Let w = 5 - 5. Suppose -a + w*a + b = 0. Calculate the greatest common divisor of 11 and a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 41*v**2 - 2*v. Let n be k(-1). Let u be (-108)\/21 - -5 - n\/(-7). Is 7 less than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 73.706 * -0.3\nAnswer: -22.1118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 15 = -2*g, -3*u - 715 = -5*g - 679 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-1) + -2*2. Let j = -2 - h. Suppose j = -5*a + 23 + 32. What are the prime factors of a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 PM and 7:07 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4665*h - 2458*h = 2484*h + 16066 for h.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 != -1\/978?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 - -10. Let p = -0.9 - c. What is the closest to p in -0.2, 0.2, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 AM and 4:55 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mommazsezzaeaea. What is prob of picking 1 z and 1 s?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000054412709 to seven decimal places.\nAnswer: 0.0000054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of n**4\/6 - 5*n. Let t(r) = -6*r**2 - 5*r. Let x = 1 - 0. Let p(v) = v**2 + v. Let b(d) = x*t(d) + 5*p(d). What is o(b(h))?\nAnswer: 2*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*b + 4*b + 130. Let x(p) = 10*p - 96. Calculate the remainder when x(12) is divided by b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -2*k**2 - 8*k - 5. Calculate o(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-117)\/21 - 3\/7. List the prime factors of (0 + g)*4\/(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1600\/400*2\/(-20) - 2673\/(-6345)\nAnswer: 1\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2848 - -1744?\nAnswer: -1104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 142 - 138. Suppose 0 = 4*c + 25 - 5. Let g(q) = -2*q**2 + 10*q + 10. Let w be g(6). Sort c, t, w in descending order.\nAnswer: t, w, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60559.3ug in tonnes?\nAnswer: 0.0000000605593","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 11*n - 127. Let v be g(26). Let w = -138 + v. Solve -y = -i - 1 - 5, 4*y = -5*i - w for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -26712 and 4.\nAnswer: -106848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-9)*3\/(-2)*-1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34*-2.4.\nAnswer: -81.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (293\/(-586))\/((-1)\/(-30))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -11241*s + 5272018. Calculate b(469).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (11 + -8)*5\/3. Is 742\/10 + (-1)\/u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 40*s - 22*s + 89*s)*(-4*s**4 + 3*s**4 + 0*s**4).\nAnswer: -27*s**5 + s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 59398258*p**5 - 54925*p**2 + 12*p + 3.\nAnswer: 3563895480*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 35605648?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, 17, 27, 41, 59?\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 + 11*d - 10. Let i be f(-12). Suppose -54 = -i*o - 2*o - 3*l, o + 2*l = 11. Calculate the smallest common multiple of o and 25.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18*u**5 - 4*u**4 - 105712*u**3 - 235*u**2 - u + 49.\nAnswer: 1080*u**2 - 96*u - 634272","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h - 9 = 4*h. Let z(v) = -9*v**2 - v**h + 5*v + 0*v**2 - 10 + 5. What are the prime factors of z(-10)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iwiwiwopiiwwweeeewiw. Give prob of sequence wpe.\nAnswer: 4\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1249 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9885, -19468, -29039, -38592, -48121, -57620?\nAnswer: -67083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1656895 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 1 + 2. Solve 4 = l*g + 7 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 + 9 + -12 + -16 + 16.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*f - 6*f - 150. What is the smallest common multiple of 32 and f?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -43 + 9\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.18, -2, 54 in ascending order.\nAnswer: -2, 0.18, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + -4. Let s be (d - (1 - -1))\/(-2). Let n(b) = b**3 + b + 2. List the prime factors of n(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gghh when four letters picked without replacement from {h: 6, g: 6}.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*i + 5*i - 2*i)*(-66 + 957*i - 958*i - 46) - 41 + 41 - 4*i**2 to the form b*i**2 + p + d*i and give d.\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in six fifths of a meter?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 28*k. Let d(x) = -3*x + 31*x - 20*x - 5*x. Calculate f(d(u)).\nAnswer: 84*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kvz when three letters picked without replacement from {v: 4, z: 6, m: 1, k: 4, e: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 1753692752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2113343242 (base 5) to base 10.\nAnswer: -4434197","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00012350235 to seven dps.\nAnswer: 0.0001235","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r + 18. Let x(n) = n**2 + 13*n + 9. Let c be x(-11). Let q be b(c). Suppose -q*h = -4*y + 80, -h - 20 = 4*h. Is 15 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1728)\/sqrt(8))\/sqrt(2).\nAnswer: 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -47*s**3 + 2*s**2 - 3*s - 2. Give q(2).\nAnswer: -376","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 6*m**3 + 2*m**2 - 5*m - 6. Let b be d(-1). Sort 1.3, b, 2 in ascending order.\nAnswer: b, 1.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(2 + (sqrt(153) + 2)**2 + sqrt(153)) + 1 - (-4 + (-4*(-2 + sqrt(153)) + sqrt(153))**2)*1.\nAnswer: -1595 + 129*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**0\/n)**(-29)\/((n*n**(-6))\/n**(1\/3)))\/((n**(1\/3))**(11\/4)\/(n**(2\/13)\/n*n**9\/n)) assuming n is positive.\nAnswer: n**(6329\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2 - 7*r - 14. Let g be q(-6). What is the smallest common multiple of 11 and 10\/(-4)*(6 + g)?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.020858709 rounded to five dps?\nAnswer: 0.02086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*r**2 - 20*r**6 - 8*r**6 + 21*r**6 + 4*r**2 wrt r.\nAnswer: -840*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -268*v**5 + 45*v**5 - 104*v**5 - 62*v**5 + 28*v - 239*v wrt v.\nAnswer: -7780*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 2*b**5\/7 + 3282*b**4\/7 + 1795558*b**3\/7 + 328662294*b**2\/7 + 644821200*b\/7 - 139326048 = 0.\nAnswer: -564, -511, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 6, -5\/2, 9, 0.6 in increasing order.\nAnswer: -5\/2, 0.6, 2, 6, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 35.09354 kilometers in meters?\nAnswer: 35093.54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.31 rounded to the nearest integer?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-6))\/(19\/171).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 299*v**2 - 170. Let c(b) = 2388*b**2 - 1359. Let i(m) = 4*c(m) - 33*t(m). Find the first derivative of i(u) wrt u.\nAnswer: -630*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in twenty-one eighths of a micrometer?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10498357?\nAnswer: 10498357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 54613 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (157 - (-6 + 9)) + (2 - 0). Let j = t - 36. List the prime factors of j.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**2 + 4*o - 4. Suppose -4*r - 17 = 3*y, -156*y + 158*y - 22 = 4*r. What is k(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 PM and 9:15 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 1283 divide 3081377?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2\/6715 + -13704\/919955. Let j = 6407\/2192 - t. Find the common denominator of j and 75\/2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 11*d - 17. Let s = 18 + -11. Let v be i(s). Suppose 15 = -5*x + v. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 4*v**3 + 57*v**2 + 142*v + 401. Determine t(-12).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-11) + (10098816\/1496)\/(-136).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of -2 + 2\/45*r**3 + 8\/15*r - 4\/15*r**2. Suppose p(q) = 0. What is q?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.8757362 kilometers?\nAnswer: 875.7362","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3158?\nAnswer: 2, 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19537, 39258, 58979, 78700, 98421, 118142?\nAnswer: 137863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 11:24 AM?\nAnswer: 7:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15470 divided by -85.\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 972?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 + 29*b**2 - 5*b - 44. Is q(-29) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q**5\/7 + 6564*q**4\/7 + 10778086*q**3\/7 + 21536484*q**2\/7 + 10764961*q\/7 = 0. Calculate q.\nAnswer: -3281, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000780231434 to seven decimal places.\nAnswer: 0.0000078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-2)\/((-7538)\/(-1508) - 5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -25 + -3. Let x be (-2)\/(-4) + k\/(-8). Solve 3*u = 2*u - x for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 154615.\nAnswer: 5, 17, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l + 6*l - 3*l)*(-3 + 4 - 2) + 0*l - 3*l + 2*l - 3204 + 137*l + 3204.\nAnswer: 134*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8 - 1 + 3)*(3*w - 3*w + 2*w)*(-6*w - 11*w - 2*w) to the form b*w + h + k*w**2 and give k.\nAnswer: 228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 2*o + 405. What is the least common multiple of o and -45*826\/(-236)*(-4)\/(-6)?\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/((-10)\/(-3)) + (-3)\/(-2). Let q = 2 + n. Suppose -4*a = -6*a + q. Let j(d) = -5*d**2 + d. Calculate j(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 + 17*p + 3. Let z be i(19). Let h = z + 47. Let b(f) = -4*f**2 + 21*f - h*f - 8*f. Calculate b(-2).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -2*z + 2 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -24591 - 6?\nAnswer: -24597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of -p**5\/10 + 13*p**4\/6 - p**3\/3 + p**2\/2 + 9*p - 533. Give f(13).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (10\/6)\/((-1)\/3). Let m = -35 - -34. Is m smaller than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (564 + 40*t - 564)*(-2*t**2 - 4*t**2 + 2*t**2 + 2*t**2 + 0*t**2 - 3*t**2 + 2 - t**2 - 2 + (0*t - t + 2*t)*(-3*t - 2*t + 4*t) + 3*t**2 - t**2 - t**2).\nAnswer: -240*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 - ((-1)\/1)\/(-1). Let d = r + 14. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12227 (base 11) to base 16.\nAnswer: 44a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(612))**2 + 4.\nAnswer: -12*sqrt(17) + 617","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-240)\/(-1))\/((-252)\/(-672)) is divided by 46.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -0*g + 34. Let p = g - -31. Calculate the remainder when 27 is divided by p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22382 and 2213896?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*x - 101*x**2 - 103*x**2 + 201*x**2 + 55 + 2*x**3 to the form l*x + o*x**2 + g + p*x**3 and give g.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 26*g**3 - 120*g**2 + 238*g + 9. Calculate t(2).\nAnswer: 213","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 409, 744, 1081, 1420?\n\"Answer: b**2 + 332*b + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-30))\/((-4)\/(12\/1))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(2\/3))**41\/(t**(-2\/9)\/((t**(3\/5)*t*t)\/t)))**2 assuming t is positive.\nAnswer: t**(2624\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 5*v + 25 = 0, -4*z = -4*v - 22 + 2. Suppose 5*l - l - 20 = z. Suppose -r + 0 = -1. What is the greatest common factor of l and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*q - 3*x + 4*x, -4*x + 19 = -3*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + -40?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 3*z - 4. Let r(h) = 2. Let a(c) = -d(c) - 2*r(c). Let t(w) = -6*w**2. Calculate a(t(m)).\nAnswer: 18*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 38692043287 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 (base 5) in base 3?\nAnswer: 10220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -59 - -5. Let a be (-4)\/(-10) + w\/10. Put 3, a, 0 in increasing order.\nAnswer: a, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -424261 = -62*t + 466237 + 4224. Does 27 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -186*m + 27540. Calculate l(148).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 + 54*s - 180. What is k(0)?\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, -1, 6, 4 in increasing order.\nAnswer: -2, -1, 0, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52192874 is divided by 99.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 36964 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114*j + 65*j + 2580 = 80*j for j.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - -1 - ((2 - -137) + -12) - (-350 - -361).\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (28*q - 71*q + 27*q)*(0*q**3 + 2*q**3 + 0*q**3) + q**4 + q**4 + 0*q**4 as s*q**4 + j*q**2 + l + g*q**3 + a*q and give s.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -30 + (-45 + 35 - 14) + -9\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 749 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 3*t = -0*v + 133, 5*v + 329 = 4*t. Let r = -61 - v. Suppose 3*u = -4*q + 280 + 562, -4*q + r*u = -828. Is q a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2*x**4 - 2 - 19*x**4 - 6*x**4 + 4*x**4 + (2*x + 4*x - 3*x)*(-3 + 3 - 2*x**3) - 2*x + 2*x - x**4.\nAnswer: -30*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*t + 303 = -226*t - 5530 for t.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 7, -62 in descending order.\nAnswer: 15, 7, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k**2\/9 - 6871504*k\/9 + 54972160\/9 = 0. What is k?\nAnswer: -3435760, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2 + s + 2. Let y(n) = 10*n**2 + n. Give j(q) - y(q).\nAnswer: -11*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 133959*n*z**4 - 3*n*z**2 + 55*n*z - 68508257*n wrt z?\nAnswer: 535836*n*z**3 - 6*n*z + 55*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 (base 3) in base 4?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the third derivative of 0 + 1\/336*b**8 + 55*b**2 + 1\/90*b**7 - 1\/45*b**5 + 0*b + 0*b**4 + 0*b**6 + 0*b**3. What is n in f(n) = 0?\nAnswer: -2, -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -4081, -9205, -14329?\n\"Answer: -5124*b + 1043","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 5 = 1. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 45874679?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45854?\nAnswer: 2, 101, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.27? (a) -9 (b) -0.4 (c) 16\/7 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.25 - 0.2. Let w = o + -4.05. Let g be ((5\/2)\/((-2)\/4))\/1. What is the nearest to 1\/2 in g, -3, w?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 15 = 17*n, j = 4*n - 462 + 459 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 131*c + 6. Let i be z(-4). Let y = -2582\/5 - i. Factor 38\/5*b**2 + y*b**5 + 2\/5 + 14\/5*b + 10*b**3 + 32\/5*b**4.\nAnswer: 2*(b + 1)**3*(2*b + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5)\/(-25) - 62\/10. Let p = -3 - c. Sort p, 0, -4 in decreasing order.\nAnswer: p, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4193 in 32839, -0.5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = -5*r, -2 = -2*q - 9*r + 6*r for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the first derivative of v**4\/30 + 8*v**3\/45 + 4*v**2\/15 + 1810. Factor k(u).\nAnswer: 2*u*(u + 2)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15\/18*(-8)\/(-30)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6302 and 3442?\nAnswer: 10845742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1700 - 6445. Let x = -4776.152 - n. Let t = x - -31. Round t to two dps.\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 2*u - 3 = 0. Suppose u*a + 5*y = -0*y - 25, 0 = 5*a + 2*y + 10. Suppose a = -3*i - 3, -6494 = 3*x - 8*x - i. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 186*m**2 + 830*m - 24. Let j(a) = a**2 + a - 4. Let n(h) = -d(h) + 6*j(h). Find the second derivative of n(c) wrt c.\nAnswer: -360","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 362*z + 830. Let f(r) = 1. Let l(w) = -5*f(w) + i(w). What is the first derivative of l(y) wrt y?\nAnswer: 362","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 43450 and 150.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the second derivative of g**7\/105 + 8*g**6\/75 - 9*g**5\/50 - 18*g**4\/5 + 36*g**3\/5 + 87*g - 2. Suppose r(o) = 0. Calculate o.\nAnswer: -6, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -448 - 4701805*d**2 - 654*d + 182*d + 4*d**3 + 4701785*d**2 = 0.\nAnswer: -8, -1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1271?\nAnswer: 31, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 29.58636 - 0.01636. Let u = t - -0.43. Let y = u + -28. Which is bigger: -3\/8 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -113234\/579 or -195?\nAnswer: -113234\/579","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, e: 5, g: 1, n: 1}. Give prob of sequence ffn.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*r - 3748 = -3853 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 10) to base 15.\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 60990, 61022, 61056, 61092, 61130, 61170?\nAnswer: 61212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 340\/90 - ((-7)\/(-9) + -1). Suppose -5*d + 3*t + 64 = 2*t, -28 = -d + 4*t. Solve 3*w - w + d = 4*y, w - u*y + 16 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 109*b + 427660 + 110*b - 221*b.\nAnswer: -2*b + 427660","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2, -1\/7, -4, -1\/4, 1459 in descending order.\nAnswer: 1459, 2, -1\/7, -1\/4, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 315 is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*z + 30*z + 15*z + 14*z to the form c*z + q and give c.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 759*g**3 + 9 + 0 - 1079*g**3 + 310*g**3.\nAnswer: -10*g**3 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*b**2 + 1924*b + 480 = 0. What is b?\nAnswer: -120, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (39\/(-351))\/((-4)\/(-12))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12d6 (base 14) to base 8.\nAnswer: -6374","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 - 20*x**2 + x + 15. Let v be c(-20). Let a = 259.021 + -263. Let h = a + -0.021. What is the nearest to -0.1 in h, 0, v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -12. Calculate the lowest common multiple of j and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:58 PM and 1:49 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.296 - 0.704. What is the third smallest value in 0.4, u, -2\/93?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 4. Let u be (-2)\/y - 34\/(-6). Let h = -9 + u. Sort 0, h, 1.\nAnswer: h, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 26609?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 2\/9, 0.6, -90.3, -3\/19, -18?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 15) to base 7\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 431*a**2*s**4 - 2*a**2 - 560*a*s - 2*s**5 wrt s.\nAnswer: 5172*a**2*s**2 - 40*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5645856 and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3321 + -5?\nAnswer: -3326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 4*q - 30 = 41, -s = 3*q - 41. Is 6 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -208*p - 2. Let a be z(-1). Suppose 0 = -3*t + a + 358. Suppose 9*s = 5*s + t. Calculate the remainder when s is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/6 - 703\/3. Let p be 4\/10 - q\/65. Suppose 5 = 2*z + p*u - 3, -u - 75 = -5*z. Calculate the smallest common multiple of z and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 + 2 - 634\/(-168). Let l = -3\/28 + v. Let m = -35\/12 + l. Which is the third biggest value? (a) 0.1 (b) 2 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - -5) + 2 + -8?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/42 and -28\/3.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3403, 3404, 3407, 3412?\n\"Answer: k**2 - 2*k + 3404","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(104)\/(sqrt(8) + 3*sqrt(288))*-3.\nAnswer: -3*sqrt(13)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4842904052 to the nearest integer?\nAnswer: 1692","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -723370 by 5.\nAnswer: -144674","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3037 is divided by 499?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*((x\/(x\/(x**(-1\/2)\/x)))\/x*x)\/x*x\/x**(1\/10))\/(x*x*x\/x**4*x*x**(-6))*((x*x\/x**(-2\/25))\/(x*x**(-2\/9)))**(-2\/29) assuming x is positive.\nAnswer: x**(34649\/6525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of -93*w**6 - w**4\/2 - 358*w**3\/3 - 295. What is the third derivative of j(x) wrt x?\nAnswer: -33480*x**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63 + 38 + 14*n - 107 + 28*n - 2*n.\nAnswer: 40*n - 132","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -690 + 707. Suppose -u = u. Solve -2*y = -5*r - 15 - 5, -3*y + r + d = u for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5050125697 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -r - 49, -5*r - 6 = -7*r. Suppose 21306 + 29394 = n*u. Round u to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 986386785?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -3*u**2 - 2*u + 4. Let y(s) = s**2 - 4*s - 1. Let l(n) = -h(n) - 4*y(n). Factor l(r).\nAnswer: -r*(r - 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 324\/(-48) + 2\/(-8). Let q be p\/(-49) + (-68)\/(-14). Let r(f) = 7*f - 5. Let u be r(5). Solve 4*j = 3*h + 2*h - u, q*h - 15 = j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 117\/27680 and -121\/560?\nAnswer: 193760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 9:36 PM?\nAnswer: 1:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llllllllqqlllqllqll. Give prob of picking 2 q.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 - 4. Suppose c = -c + 6. Suppose 2*x + 4*n + 28 = 10, -c = n. Let u be h(x). Solve -u*k = -4*b + 20, 2*k - b = -3*k - 20 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:14 PM and 8:17 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1138410 and -0.05?\nAnswer: 56920.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 10) in base 3?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 303741*t**2 - 490247?\nAnswer: 607482*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 7*p - 5. Let n(l) = 8*l - 6. Let r(t) = -5*n(t) + 6*v(t). Let h(s) = -4*s. Determine r(h(c)).\nAnswer: -8*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(1053) - (-2 + sqrt(1053))) + -4 + -4))**2 - 4*(-6*3*sqrt(1872)*-4)**2.\nAnswer: -38817216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7575 and -803?\nAnswer: 6082725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + 2. Determine o, given that -17*o**3 + 3*o**2 + 20*o - 2*o**2 + 8 + 15*o**c + 21*o**3 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -6*2*(sqrt(17) + -3).\nAnswer: -12*sqrt(17) + 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -158 - -160. Solve 2*z - 4 + n = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 225? (a) 0.1 (b) -1\/2 (c) -1\/4 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5665292 and 46996.\nAnswer: 1516","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25289, -50447, -75607, -100769?\nAnswer: -125933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 - 5*-44 - 4. Let n(r) = 3 + 0*r - 3*r + 220*r**3 - 2*r**2 - m*r**3. What is n(2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -34*i + 2*i - 27*i - 767 for i.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -299052 (base 10) in base 8?\nAnswer: -1110054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 67*y**2 + 2*y. Let z(d) = -2*d**2. Calculate c(z(n)).\nAnswer: 268*n**4 - 4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.184272 to 2 decimal places.\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 PM and 3:42 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1577 by 19.\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 6:31 AM?\nAnswer: 3:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 59406796 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 + y**2 + y + 10. Suppose d = -0*d - 2*v + 5, 0 = 4*d + 2*v - 20. Suppose -d*j + 10 = 0, 0*p - p - 2 = -j. What is the units digit of i(p)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 4 = 3*w. Let r(k) be the third derivative of 1\/24*k**4 + 5\/6*k**3 + 0 - 12*k**2 + 0*k. Calculate r(w).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 PM and 12:10 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in thirty-one fifths of a meter?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-3) - (-4 + 6).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22 - -17. Let l = 59 - 355\/6. Which is the closest to 0? (a) 3 (b) f (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3689 and 119.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 153 divided by -7631.\nAnswer: -153\/7631","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 2 = -3*q - 4, -q + 23 = 4*j. Suppose 18 = 2*g - 2*h, -q*g = -7*g - 4*h + 28. What is the first derivative of -16 - 5 + g - 28*b wrt b?\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-29*u + 15*u - 4*u + (5 - 5 + 1)*(0 + 2*u + 0))*(-22 - 675 + 32) in the form f*u + v and give f.\nAnswer: 10640","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1 - ((-41)\/(-5) + 14\/(-70)) and 30\/11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 2\/27, 16, 15, -1\/11?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 74404, 74402, 74400?\nAnswer: 74398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -206.5 - -227. Let o = d + -28.5. What is the closest to o in -2\/3, -1\/2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + 0)*(386\/16 - 24).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-24 - 3)\/324 - ((-190)\/(-24) + -3)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.013456 to three decimal places.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f and 1 l when four letters picked without replacement from fpqppxlplffplxfff.\nAnswer: 3\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (6*sqrt(171)*-2 + sqrt(171) + 6*(1 + sqrt(171)) - (sqrt(190)\/((2*sqrt(100))\/sqrt(10)) + 1)))**2.\nAnswer: -62*sqrt(19) + 18275\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.1038 + -0.1148. Let l = f + 2.011. Let p(t) = -4*t**2 + t + 1. Let h be p(-1). What is the smallest value in h, -0.2, l, -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 342456 or 342459?\nAnswer: 342456","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -4*c**3 - 3*c**2 + 606*c - 4. Calculate a(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*v - 83 = -21. Suppose 0 = -4*t - 23*q + 24*q, 0 = -v*t - 4*q. Let l(u) = u**2 + u - 1. Let s be l(1). Solve 4*p - 3 - s = t, -p = 5*d - 26 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -49528.\nAnswer: -1\/24764","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000207 rounded to 6 decimal places?\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 + 3*n**2 + 2*n - 2. Let o(q) be the third derivative of q**4\/8 - 7*q**3\/3 + 6*q**2. Let s be o(4). List the prime factors of a(s).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1203984, 2407970, 3611954, 4815936, 6019916, 7223894?\nAnswer: 8427870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6173936110*d**2 + 6173936012*d**2 - 1 + 1 + d.\nAnswer: -98*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -65, -96, -185, -362, -657?\n\"Answer: -5*w**3 + w**2 + w - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -1\/7896035?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -484 = 4*c - 496. Let g(a) = 9*a - 44*a**2 + 0*a**3 - 9 + 35*a**2 + a**c. Determine g(8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 13892743154 and 3249?\nAnswer: 13892739905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 4*l**2 - l. Let m(r) = 16*r + 15. Let f(w) = 3*w + 2. Let o(t) = -15*f(t) + 2*m(t). Determine o(d(p)).\nAnswer: -52*p**2 + 13*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fj when two letters picked without replacement from hfctj.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 74, 0, -1, 4, 6 in descending order.\nAnswer: 74, 6, 5, 4, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -17*n + 6. Let i be x(-2). Calculate the remainder when 13 is divided by i\/5 + 0\/(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3667*p + 3642*p + 175 = 0. What is the remainder when 3849 is divided by p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 - -2. Let k be (h + 4)*2\/2. Let m = 13 + k. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 267*j - 47*j + 216*j + 21*j + 86*j.\nAnswer: 543*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -585, -5275, -13165, -24249, -38521, -55975, -76605?\n\"Answer: o**3 - 1606*o**2 + 121*o + 899","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g + 68 = 5*y - 5*g, y = -3*g + 18. What is the greatest common factor of y and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.01, -30, 0, 4, -2\/9 in increasing order.\nAnswer: -30, -2\/9, 0, 0.01, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7661883 divided by -134419.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j + 4. Is 2 a factor of d(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.7 - -0.2. Let z = 7.1396 - 7.5396. Which is the third smallest value? (a) z (b) x (c) 0.03 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -115bf - -3fa?\nAnswer: -111c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2558 is divided by 102.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 743\/13 - (3 - (-333)\/(-117)). Let t(u) = u - 5. Let o be t(-5). Let l = h - o. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 + 5*t**2 + t - 1. Let w be r(5). Factor 3*p**3 + 6*p**4 - w*p**2 - 2 - 6*p + p**5 + p**5 + p**3.\nAnswer: 2*(p - 1)*(p + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 12:06 PM?\nAnswer: 9:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the third derivative of -311*y**5\/60 - 134*y**3\/3 + 3*y**2 + 342. Find the first derivative of d(m) wrt m.\nAnswer: -622*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -296*h. Let s(g) = 151*g. Determine s(x(q)).\nAnswer: -44696*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r - 3. Let y(o) = o + 12. Let g(s) = 13. Let c(v) = 2*g(v) - 3*y(v). Let q = 8 + -15. Let w(z) = q*d(z) + 2*c(z). Give w(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 412873?\nAnswer: 23, 29, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1575 + -86624\/55. Find the common denominator of f and 179\/330.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -56\/3 and 32\/9 - 72\/(-54).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.414534878 to two decimal places.\nAnswer: -0.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.043 to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/250 in 2\/5, -2, -5, 6?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 367 divide 132295614?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 d, 1 z, and 1 a when four letters picked without replacement from {i: 8, d: 1, z: 2, r: 1, a: 3, n: 2}?\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9093461*b**2 - b**3 + 211 + 9093446*b**2 - 211.\nAnswer: -b**3 - 15*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 + 10*r**2 + 10*r + 11. Let l be b(-9). Let c = -0.6 - -1. What is the nearest to 0.1 in 1\/8, l, c?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hchhchcchhhhhhhc. What is prob of sequence chh?\nAnswer: 55\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-5)\/((-15)\/(-94)))\/(1\/(-3)). Let o = -81 + k. Solve -j - o = -17 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - (12 + -1) - (3 - -1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -3*x**2 - 5. Determine z(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52913?\nAnswer: 7, 7559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 5*b**2 - 2*b + 1. Let r be x(1). Let m = -2 + 12. What is the highest common divisor of m and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8691100173 take away 0?\nAnswer: -8691100173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.59 to 0 dps.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1\/2, -44, -5, -53 in increasing order.\nAnswer: -53, -44, -5, -1\/2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d + 21 - 1. Let g = 1 - d. Suppose -3*u + 0 + g = 0, -4*u = -c. Is 8 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -140*-0.2.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11300.\nAnswer: 2, 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 AM and 4:43 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (278*v**3 + 762*v**3 - 2*v**2 + 2*v**2)*(-2*v + v - 2*v) to the form d*v**2 + h*v + o*v**3 + w*v**4 + j and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 + 3*w**2 - 2*w. Suppose 0 = -8*t - 33 + 353. Let h = t - 34. Let z be (1\/(h\/4))\/((-2)\/9). Determine u(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, -335, 0, -2\/7 in increasing order.\nAnswer: -335, -2\/7, 0, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.3 - -0.4. Let p = m + -0.3. Let r = -153.7 + 154. Which is the third smallest value? (a) r (b) 5 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -477922?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 13*g**2. Suppose -16*q - 5*h = -21*q, -5*q = 5*h - 40. Let i(n) be the second derivative of -1\/6*n**4 + 0 + 0*n**3 + q*n + 0*n**2. Give i(z(w)).\nAnswer: -338*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28, -117, -284, -547, -924?\nAnswer: -1433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1331 is divided by 193?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*j + 91 + 125 = -25*j - 2*u, u + 24 = 2*j for j.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - 2) + (-4 - -13 - (20 + -3))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 + 4. Let x(w) = 2*w + 3. Let y be x(-4). Let g = y - z. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 500\/(-15)*(-102)\/(-170)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 992 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 997953808?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -0.3, 1, 5, 55 in ascending order.\nAnswer: -5, -0.3, 1, 5, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 6*s + 7. Let z(o) = -7*o - 8. Let a(l) = 6*h(l) + 5*z(l). Let r be a(3). Let f = r + 1. Does 2 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 107 divide 359062682?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 157*f**2*g + 531*f**2*i**2 + 2*f*g*i + 15*f*g - 2*g*i**3 wrt i?\nAnswer: 1062*f**2*i + 2*f*g - 6*g*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1979 - 1967. What is the nearest to 2 in 5, -1\/2, j?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s = 1186.3 + -1186.36. What is the smallest value in 1, -10, s, -2?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15163?\nAnswer: 59, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine quarters of a microgram in nanograms?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 8) to base 10.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(220)\/sqrt(4))\/sqrt(5) + (2*sqrt(110)\/sqrt(160))**2.\nAnswer: -3*sqrt(11) + 11\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 119.41281ms?\nAnswer: 0.000033170225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -11100100011001000011 (base 2) in base 10?\nAnswer: -935491","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 6*y**2 + 306*y + 1246. Calculate the remainder when 1061 is divided by b(-4).\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204)\/sqrt(4)*-1)\/(3*sqrt(6)\/sqrt(2) - sqrt(3) - sqrt(3)).\nAnswer: -sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/608 and 115\/494.\nAnswer: 7904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7.312 + -0.088. Let r = -4.4 - n. What is the biggest value in 2\/3, r, -1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 436 - -2 - (-1 - -4). Suppose 0 = 5*v - 1100 + c. What are the prime factors of v?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14609 + 14771 + o**2 - 29380.\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 36398 to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -20 - -30. Let q(i) = -2*i**3 + 18*i**2 + 9*i - 8. Let g(l) = -l**3 + 9*l**2 + 5*l - 4. Let x(t) = -7*g(t) + 3*q(t). What are the prime factors of x(b)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ewxoxeefxxoteoeoeoex. What is prob of sequence wf?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 - -10.5. Let w = c - 2. Let i be 1\/((4\/(-54))\/((-12)\/27) - (-4)\/(-6)). What is the third smallest value in 27, i, w?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 6) to base 2\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.4387 times 4\nAnswer: -1.7548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35254499?\nAnswer: 7, 83, 60679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -13154.1 smaller than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 y when three letters picked without replacement from ycycyhyyccycyyhchchc?\nAnswer: 28\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 99141*a**4 - 2*a**3 + 187*a**2 + 272 wrt a.\nAnswer: 2379384*a - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 943514?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 PM and 8:38 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8662 a multiple of 122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.009 and -18141.\nAnswer: -18141.009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110054 is divided by 418.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2104*c - 1893 + 1893)*(-2 + 0 - 2) + (-4*c + 6*c + 0*c)*(1 - 4 + 2).\nAnswer: 8414*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -2 + 6*a + 0*a + 8*a. What is the remainder when q(1) is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/10)\/(((-448)\/(-120))\/28).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1.4 * -22884\nAnswer: -32037.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 10:35 PM?\nAnswer: 5:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 139159.\nAnswer: 31, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*b*s**3 - 518*b*s - 6735*b - 7161*s**3 - 58*s**2 - 21 wrt s.\nAnswer: -54*b*s - 42966*s - 116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 8*n + 33. Give z(-2).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1234 + 171522\/139. Let v = y + 981\/278. Which is smaller: -0.1 or v?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, 76, -82, -25, 4 in decreasing order.\nAnswer: 76, 4, -21, -25, -82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -51.3 - -49. Let t = 78706.30026 - 78704. Let a = t + o. Round a to four dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000887 to 5 decimal places.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -31638133 and -0.4?\nAnswer: 31638132.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17.69 or 23.995?\nAnswer: -17.69","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(0 + (sqrt(448)*-2)**2).\nAnswer: 8960","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 3*d - 2*n - 66, 3*n + 27 = -d. Let u be 5\/d - 12\/108. Which is the nearest to -0.3? (a) 1\/5 (b) u (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00951008 to five decimal places.\nAnswer: -0.00951","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-1)*p)**25\/(p**1)**(5\/7))**12 assuming p is positive.\nAnswer: p**(2040\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 2:59 PM?\nAnswer: 12:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/15)\/(1\/(-5)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 8412 = -h - 3*x, 4*h - 2*x = 16792. Round h to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -17*k**3 + 5. Let r(l) = -16*l**3 + 4. Suppose 0 = 48*d - 50*d - 10. Determine d*r(a) + 4*g(a).\nAnswer: 12*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 368, 374, 380, 386, 392?\n\"Answer: 6*f + 362","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8944 is divided by 277?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -8*i - 609. Let m(y) = 38*y + 2842. Let p(h) = 3*m(h) + 14*x(h). Let v(d) = -2 + 1 + 0 + 10*d. Give p(v(q)).\nAnswer: 20*q - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of -40\/3*l**3 + 14*l**2 - 10*l**4 + 12*l + 28\/5*l**5 + 2*l**6 - 58. What is f in n(f) = 0?\nAnswer: -3, -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 6*l - 5*l + 8*l - 3*l. Let n(r) = -2. Let z(t) = -t - 9. Let k(m) = 9*n(m) - 2*z(m). Determine k(w(b)).\nAnswer: 12*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 - (-3 + (-5 - -10)). Sort -2, h, -5 in increasing order.\nAnswer: -5, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45290019?\nAnswer: 3, 15096673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5*(24\/(-100))\/(-1). Let -u*k**2 + 8\/5 + 0*k - 2\/5*k**3 = 0. Calculate k.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h. Let z(s) = 19 + 19 - 38 + 59*s**2. What is z(n(c))?\nAnswer: 59*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*u**2 + 44*u**2 + 0 + 0.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/5)\/(9\/15). Let h(j) = -j**2 + 29*j + 30. Let y be h(30). What is the nearest to l in y, 2, 1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2128426 is divided by 41?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 10\/6 - 1\/(-3). Suppose -4*o - 3*i + 4*i = 38, -i = -a*o - 18. Calculate the remainder when (-106)\/o - (-8)\/20 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 63*1*1\/7. Let y = 404 + -272. Suppose y = i*v - 6*v. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*i = 20*i - 68. What is the remainder when 235 is divided by i?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35+-99457.305\nAnswer: -99492.305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*z + 9*z - z + 0*z.\nAnswer: 8*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1796 - -3?\nAnswer: 1799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p. Let z be k(-4). Suppose 0 = z*j - 55 - 25. What are the prime factors of j?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (900\/(-300)*1*(-5)\/(-3))\/((-16)\/(-16))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 100583 - 112?\nAnswer: 100471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -54*n**5 - 4536*n**4 + 9216*n**3 - 6172*n**2 + 1718*n - 172 = 0.\nAnswer: -86, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - ((-10 - -2) + 12) - -8?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 15200 + 25?\nAnswer: 15225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 u, and 1 s when three letters picked without replacement from {s: 7, u: 1, c: 2, x: 7, h: 3}.\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6 + 26)*(-4)\/(-10). Let f be (-168)\/(-16)*q\/6. Let s = -109 + 221. Calculate the highest common divisor of f and s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 333*b**2 + 48*b + 181. What is the hundreds digit of c(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 31154 to the nearest integer?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111 (base 10) to base 7.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 14*y**2 - 3*y**2 + 55 + 10*y**2 - 5*y**2 - y wrt y.\nAnswer: 32*y - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1880155 to the power of 1\/5, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24, -53, -86, -123, -164?\nAnswer: -209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 10 = 4. Is v greater than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 4*s = -2*m + 569, 3*s - 6 = 0. Suppose 0*a - 4*a = -5*i + 1732, 3*i = -5*a - 2202. Let v = m - a. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 212182843.\nAnswer: 1\/212182843","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5544499 is divided by 48.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129*m - 166 = -811 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -37240664 >= -37240665?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10538313 is divided by 190?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/4792 and -2\/11381.\nAnswer: 91048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - -11. Suppose t*b - 42 = b. List the prime factors of b.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 547715 is divided by 39?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.9 + 3.1. Let g be (2\/(-2) - 8\/(-6))*-3. Let k be g + 2 - 4 - (-3)\/3. Which is the third smallest value? (a) 2 (b) k (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -145a7 (base 11) to base 15\nAnswer: -61e2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 88*y + 429. List the prime factors of v(43).\nAnswer: 11, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 11) to base 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -45552*j**4*k + 6375*j**4 - 810152*k + 205 wrt j.\nAnswer: -182208*j**3*k + 25500*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22304270.\nAnswer: 2, 5, 983, 2269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -15929379 + 3?\nAnswer: -15929376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -0*x - 25, r - 2*x = 9. Let q(y) = -3*y + 45. Let d be q(13). Let h be (3\/d)\/((-3)\/(-24)). Put 6, h, r in increasing order.\nAnswer: r, h, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.03 - 0.27. Let o = -10\/19 + 128\/171. Which is the nearest to 0.1? (a) o (b) 1\/5 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1400370 and 5460.\nAnswer: 254867340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 4*k - 14, 5*b = k + 2*k - 14. Let m = b - -3. Find the third derivative of q**5 + 2*q**5 - q**m + 2*q**2 wrt q.\nAnswer: 180*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4055.892 weeks to nanoseconds.\nAnswer: 2453003481600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 - 143*m - 2604. Give j(-22).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55283 is divided by 11008.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 - 2 - 11 - ((7 - 115) + 9 - -1).\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) + -1 + sqrt(19) + sqrt(19) + sqrt(76) + sqrt(76) + 0)**2 - (-1*sqrt(171)*6 + sqrt(171))\/((sqrt(81)*-1)\/sqrt(9)))*-4 + -4.\nAnswer: -6164 + 92*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*h)*(21*h - 3*h + 3*h)*((-h - h + h)*(2 - 4 + 0) - 2 - h + 2 - 3*h + 2*h - h).\nAnswer: 42*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -157*x + 1678. Calculate the least common multiple of n(10) and 9.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7 or 1232342?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*b - 16 = -2*f + 31*b, f = b + 8. Solve f*v - 4*v - 32 = 3*w, v - 13 = 2*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/70*1379\/(-591)\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 PM and 9:07 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2769, -11102, -25009, -44496, -69569, -100234?\nAnswer: -136497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(102)\/(sqrt(96) - sqrt(6))*1.\nAnswer: sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - -1331?\nAnswer: 1325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4718*b + 4690*b + 476 for b.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*u + 2*o, -u - u + 10 = -2*o. Let a be -3*((-168)\/(-9) + u). Let c = a + 61. Let w(b) = -b**2 + 5*b. Determine w(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/846876 and -143\/36.\nAnswer: 2540628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 + 2 + 3 + (-13 - -175) + -49.\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 858835?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 20*(3\/(-1))\/3. Let g = 23 + z. Suppose k = -0*k + g. Solve q - k*u - 1 = 3, 0 = 5*q - u - 20 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-18) - 1\/(-2).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*x - 13*x - 22*x)*(2*x**3 + 2*x**4 + 3*x**3 - 4*x**3).\nAnswer: -82*x**5 - 41*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00462486 rounded to 5 dps?\nAnswer: 0.00462","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 790548?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100100 + -111?\nAnswer: -101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*t - 19. Suppose 4*z - 15 = -v, 3*v - 116 = 4*z - 39. Suppose -19*y = -v*y - 8. Which is greater: y or t?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/1*(-10)\/(-10). Let w = -4.6 + 0.6. Let y = w + 2. What is the nearest to 2\/3 in y, 0, c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 3*t + 15, 0 = -5*t + 15 - 0. Let q be 1*-70*9\/r. Let d = -43 + q. What is d rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 411263096 to the power of 1\/2, to the nearest integer?\nAnswer: 20280","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -2 + (sqrt(110)*-1*-6)\/sqrt(10) + (sqrt(275))**2 + -1 + -2.\nAnswer: 6*sqrt(11) + 267","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0*((-2)\/(-10) - 448\/640)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3451\/766 + 2\/383. Let a = 15761\/2436 + 23\/203. What is the common denominator of a and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (9 + -13 + 22 - -20)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.8 - -0.8. What is the third smallest value in j, 0, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tzzztzzzzzzzzzzzzzzz. What is prob of picking 2 t and 2 z?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -1071781?\nAnswer: -5\/1071781","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 - 10. Suppose -3*y + 0*y = -3*u + 99, 0 = 4*u - 3*y - 127. Calculate the greatest common divisor of u and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the second derivative of -13*l**4\/6 + 3*l**3\/2 + 822*l. Let u(g) = 13*g**2 - 4*g. Determine 4*h(y) + 9*u(y).\nAnswer: 13*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 63.191 + -44.1\nAnswer: 19.091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7224 or 7225?\nAnswer: 7225","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 519048 is divided by 50.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (-24)\/9)\/(9478\/1050 + -9).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/2232 and -161\/7440.\nAnswer: 22320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1735972 a multiple of 102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**15*v*v**(2\/45)*v assuming v is positive.\nAnswer: v**(767\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/17? (a) 26 (b) -279 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 - 13*q + 43. Let u be i(8). What is the remainder when 107 + (-8)\/(-6)*u + -3 is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 310917 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: Let w(z) = -z**3 + 8*z**2 - 5*z - 5. Let f = -2097\/155 + 97\/31. Find the common denominator of w(5) and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -7, 34, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 183015.87 rounded to the nearest one hundred?\nAnswer: 183000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.8 + -3.2. Let y be 10\/3 + 4\/(-1). What is the biggest value in c, 12\/7, y?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1279086922?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + -6. Let g(d) = -d - 2 - d + q. Let k(o) = o**2. What is g(k(j))?\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -322 + 511. Let k(z) = -3*z + 16. Let f be k(4). Suppose f*n + 3*x - x - 80 = 0, -4*n + 94 = -5*x. What is the greatest common factor of a and n?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4024.956 - -4067.955925. Let g = 48 - 91. Let o = g + q. Round o to five dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -323 divided by -323.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*y**2 + 1 - 52*y + 0 - y**2 + 34*y in the form m + s*y + v*y**2 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - p = 5*l - 376, 179 = l - 4*p. Calculate the highest common divisor of l and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/9)\/(-4 + 185\/45)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003938 to 4 dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 652393242?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - 10 = p. Suppose p*h + 1 = h. Let s = h + 1. Is s != -2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/24124 and -29\/14365842.\nAnswer: 28731684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2339711 is divided by 2623.\nAnswer: 2618","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 154709, 309196, 463589, 617840, 771901, 925724, 1079261?\nAnswer: 1232464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15.2 + -20.36. Let h = 3 - 2.96. Let q = f - h. What is q rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 275497303?\nAnswer: 29, 327583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 177535363.\nAnswer: 107, 487, 3407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - -19451?\nAnswer: 19456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -3*l**2 + l + 76. Calculate the remainder when s(0) is divided by 45.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j + 6. Give y(-8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54\/135 + (87\/(-5) - (-33)\/11).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 0 - 5*m - 32*m to s + q*m and give q.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 63 = 3*q. Let g(x) = 12*x + 14. Let t be g(0). What is the highest common factor of t and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 AM and 4:55 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 650.322 + -645.1. Let c = 0.222 - b. Put 2\/9, -51, c in descending order.\nAnswer: 2\/9, c, -51","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*k - 3*u + 20, -4*k + 233747*u = 233752*u + 16 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 4*h + 28, 0 = -3*u - 3*h + 41 - 38. Solve 2 = u*s - 6*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 divided by 2?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*c**3 - 14*c**3 + 61*c**3.\nAnswer: 3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4145 and 4155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.301 - 20.399. Let d = -15 - v. Let o = 5.7044 - d. What is o rounded to three decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.411696ng in tonnes?\nAnswer: 0.000000000000000411696","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/10 of a gram in milligrams?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 5*s**2 + 3*s - 6. Let o be t(3). Let z = 85 - o. What are the prime factors of z?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*m**3 - 61*m**4 - 60 + 34*m**4 - 7 + 28*m**4 as l*m**3 + r + q*m**2 + w*m + v*m**4 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8264 or -8267?\nAnswer: -8264","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 214 divided by -2.\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b0 (base 15) to base 16\nAnswer: a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -333 (base 4) to base 8.\nAnswer: -77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14184192*a**2*y**3 - 41833*a*y**3 - 29*a*y**2 - 2*y**3 wrt a?\nAnswer: 28368384*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.3, -5, -155, 4, 1\/8?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-102200)\/700*(-5)\/2*1*(-2)\/(-10)?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {w: 2, o: 3, l: 2, g: 1, y: 9}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9576 or 9575?\nAnswer: 9575","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.2 - 17.2. Let p = v - -17. Is -7 smaller than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hdgggyiidugy. What is prob of sequence hyi?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 3*k - 22 = -1, -k = 4*h + 9 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkkt when four letters picked without replacement from kttktktkkekkkk.\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59*f + 189*f - 5 + 6.\nAnswer: 130*f + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -139*o - 703. What is a(5)?\nAnswer: -1398","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 12) in base 2?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 d when two letters picked without replacement from {a: 2, r: 5, h: 3, d: 3}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1473004 is divided by 2376?\nAnswer: 2260","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 139304294 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9541?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/20)\/(1*(-1)\/4). Let f = 4.06 + -0.06. Let q = f + -2. Sort -1\/9, q, r in ascending order.\nAnswer: -1\/9, r, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -68\/3 - -1085\/48. Calculate the common denominator of z and 71\/4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1801720849 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 15 from -87763550.\nAnswer: -87763565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -121 divided by 1?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 AM and 8:24 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -2*c**2. Let y(d) = -2*d - 10. Let z be y(-6). Let o(m) = -m**2. Let q(h) = -13*h**2. Let u(f) = z*o(f) + q(f). What is j(u(b))?\nAnswer: -450*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.065659695 to two decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -6668, -13460, -20454, -27752, -35456, -43668, -52490?\n\"Answer: -17*g**3 + g**2 - 6676*g + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3112 (base 4) to base 12.\nAnswer: -15a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -64*p. Let d(a) = 2*a + 302. Calculate d(s(u)).\nAnswer: -128*u + 302","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 487*x - 1612 = 485*x - 4*v, -3*x = -5*v - 2396. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 y when two letters picked without replacement from {y: 7, r: 2, n: 9}?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**2\/2 + 36639*a\/2 - 12477054.\nAnswer: -3*(a - 11489)*(a - 724)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 + 5*c**2 - 6*c + 5. Let i be y(4). Let h be 19*(i - -4) + 2. Let u = 37 - h. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27 - 16. Let q(z) = -t*z + 12*z - 7*z. Let y(w) = -w**2. Give q(y(i)).\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 8, 26, 50, 80, 116, 158?\n\"Answer: 3*p**2 + 9*p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 321 divide 1414440?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*f**3 - 17*f**3 + 15*f**3 + 20*f**3.\nAnswer: 28*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 50 + 0.725.\nAnswer: 50.725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3318 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of -h**7\/14 + 2*h**5\/5 + h**3\/6 + 3*h**2\/2 - 13*h - 1. What is the second derivative of j(z) wrt z?\nAnswer: -60*z**3 + 48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5*m**2 - 5*m**2 - 2*m**2)*(-3*m + 5*m - m)*(-3*m**2 + m**2 - 2*m**2).\nAnswer: 8*m**5 + 4*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**2 + 8*r - 14. Let m be k(6). Let g be 1\/(2\/((-4)\/5)). Are g and m equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjmjmtj. Give prob of sequence jm.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(390)*1)\/sqrt(10))\/(sqrt(9)\/sqrt(108)))**2.\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -30*u**2 - u + 1. Let f be h(2). Let n = 208 + f. What are the prime factors of n?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74.58134 milligrams to nanograms.\nAnswer: 74581340","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*p + 27*k = 40*p + 85, 11 = 16*p - 17*p + 5*k for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 - -1) + (-3 - -6). Suppose 0 = 6*t - v*t - 20. Solve -4*d - 8 = 0, -t*s + 5 = -2*d - 4 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 454\/3 + -153. Let j = -0.11 + -5.89. Let l = 8 + j. What is the closest to 0.1 in 0.2, l, u?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of -m**3\/3 + 1. Let w(y) = -7*y + 4. Let g(p) = 176*p - 99. Let s = 45 + -41. Let h(i) = s*g(i) + 99*w(i). Give d(h(a)).\nAnswer: -121*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -2*b - 4. Let z be a(2). Suppose -t - 3*t + 32 = 0. Let y = z + t. Sort -5, y, -2.\nAnswer: -5, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, p: 1}. What is prob of picking 3 u?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -139\/1581740?\nAnswer: -139\/1581740","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24, 108, 248, 432, 648, 884?\nAnswer: 1128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 8:47 AM?\nAnswer: 5:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -13*y**3 + 56*y**4 - 30*y**4 - 27*y**4 + 18 wrt y?\nAnswer: -4*y**3 - 39*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/(-12)*(-11)\/((-440)\/(-12)))\/(-5)?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 207970*w**5 + w**3 + 147467*w.\nAnswer: 4159400*w**3 + 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 AM and 8:29 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2814 - -33799\/12. Let i = -281 + 2516\/9. What is the common denominator of n and i?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -3*x**3 + 119*x**2 - 13*x - 675. Does 90 divide f(35)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 6*x + 18. Let k be l(-3). Solve 4*r + 3*j - 13 = k, -3*r + 5*j + 0 = -17 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -45*s**4 + 3*s**3 + 2*s - s**2 - 4 + 93*s**4 - 3 - 49*s**4 to the form v + o*s + k*s**2 + w*s**3 + z*s**4 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21865.\nAnswer: 5, 4373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 6:32 PM?\nAnswer: 10:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + o + o + 158, -73 = -2*n - o. Suppose 0 = -g + 198 - 8. Let s = g - 175. What is the remainder when n is divided by s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5 and -153.\nAnswer: -148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -675? (a) -9 (b) 5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(3\/14)*(i\/i**1)\/i*i*i)\/(i**2\/i)**(2\/17) assuming i is positive.\nAnswer: i**(261\/238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 AM and 7:56 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 5*a + 930, 0*a + 2*a - 3*k + 379 = 0. Let l = a - -242. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + 7 + 6 + 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 287 divide 29749559?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + -42306213?\nAnswer: -42306214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*p - 91 = 43*p. Solve -3*l + 0*l - p = j, 0 = 3*j - 2*l + 6 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44721?\nAnswer: 3, 4969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-534)\/4)\/((-48)\/16672) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14*y*z**4 + 7620*y*z**2 + 2*y*z - 88*y - 2*z - 5 wrt z.\nAnswer: 168*y*z**2 + 15240*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14 - -22. Suppose 11*u = b*u + 66. Calculate the remainder when 63 is divided by u.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.2 - 1.8. What is the third biggest value in y, -0.5, -3, 8?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -9, -7, -11, -27, -61, -119, -207, -331?\n\"Answer: -g**3 + 3*g**2 - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8 - -8)*(-2)\/4. Suppose -135 = 9*a - i*a. What is the hundreds digit of (-2139)\/a - (-6)\/(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3148 divided by 124\nAnswer: -787\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -0.06398\nAnswer: -0.19194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -13790 (b) -2\/7 (c) 584\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + 2 + -4 + 6. Suppose -5*f = -m*h - 20, -f = -5*f - h + 16. Suppose 0 = -f*o - 2*i + 114, -3*o + 75 = 5*i - 0*i. Is o a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 98 - 246 = 0. Let d = -869\/21 + -317\/7. Let x = t + d. What is the third smallest value in -2\/11, x, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -9*y**2 + 8*y + 8. Let m(w) = -6*w**2 + 5*w + 5. Let a(k) = -5*h(k) + 8*m(k). Let t(v) = 2*v. What is t(a(c))?\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-22)\/75)\/(-1 - 34\/(-18)). Let m = h - -2\/25. What is the closest to -0.1 in 0.8, -3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2047?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (40 - (-2750)\/(-77))\/2. Solve 9\/7*w + 0 - 3\/7*w**4 + p*w**2 + 3\/7*w**3 = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26381628 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0943 and -0.17805?\nAnswer: 0.016790115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -559586 divided by -196?\nAnswer: 279793\/98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 9*s**2 + 17*s + 2. What are the prime factors of o(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69594659.\nAnswer: 31, 139, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 + 11*x**2 - 10*x + 5. Calculate w(10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**2 - 4795*q + 28590.\nAnswer: 5*(q - 953)*(q - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3624 + 3739. Solve -5*m + 116*w - s*w = 20, -2*m + w = 8 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:59 PM and 9:54 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -5, 92, 3, 2 in decreasing order.\nAnswer: 92, 12, 3, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - o = -11, -18*a + 13*a = 5*o - 20. Solve -31 = -8*m - a for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10379*p - 37*p**3 - 10379*p - 80*p**3.\nAnswer: -117*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(-9))**(-2\/33) assuming v is positive.\nAnswer: v**(-20\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -9*g**2. Let y(v) be the first derivative of v**2\/2 - 9. Give m(y(f)).\nAnswer: -9*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*j + j + 72. What is the first derivative of 14 - 8*m**2 - j + m**3 - 10 wrt m?\nAnswer: 3*m**2 - 16*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-31 - 0) - (4807 + -4818).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - -100402467?\nAnswer: 100402464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.2 - 1.2. Let r = -39\/5 - -8. Which is the nearest to -2\/9? (a) t (b) 6\/11 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.3, 1, -0.27, -2004, -0.5, 19?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 419*o - 834*o - 75*o**2 + 415*o.\nAnswer: -75*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 o when two letters picked without replacement from oppjpuppppjwwp?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(120)*3 - sqrt(120))*3)\/(6*-3*sqrt(24)))**2.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6865050 is divided by 406.\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -29.673 rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yaay when four letters picked without replacement from {a: 6, y: 4, p: 5, i: 1}.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 6*m - 8. Let d(y) = y**2 + 4*y - 4. Let p be d(-6). Let l = p - m. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -5*c + 2*c + c. Let m(f) = -3*f - 2. Let t be (-2)\/(-3)*15 - 0. Let v(b) = -7*b - 5. Let x(o) = t*m(o) - 4*v(o). Calculate x(i(n)).\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 22436402 to the nearest integer?\nAnswer: 282","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1120 = 6*g - 26*g. Suppose -g*r + 38160000 = -38*r. Round r to the nearest 100000.\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(45)\/(sqrt(18)\/sqrt(2)))**2 + -5.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*b + 45 = 141 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2 - 8*l - 1. Let j be a(8). Let w be (-6)\/(-33)*9\/(-6). Which is greater: w or j?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2141*v + 16 = 2149*v. Solve -v*a = y + 2 - 11, 24 = -4*y + 4*a for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -51 + 8129?\nAnswer: 8098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*w - 26 - 75*w**3 - 85*w**3 + 237*w**3 - 78*w**3 as y + c*w**3 + n*w**2 + q*w and give q.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q - 3*q + q)*(4*q + 3*q**2 - 4*q) + 22*q**3 + 16*q**3 + 31*q**3.\nAnswer: 66*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -244 + 250. Let t be 1148\/(-369)*a\/(-7). Put -3\/5, -0.5, t in descending order.\nAnswer: t, -0.5, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*g**3*h + 16*g**3 - 3948*g**2*h + 2*g - 12 wrt h?\nAnswer: 2*g**3 - 3948*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.27 times -490?\nAnswer: 132.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 2*z - 16*z = -10 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73024 is divided by 10415.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 273808 times -1?\nAnswer: -273808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 115*u - 8 + 6 - u**2 - 10 - 2*u**2 + 18*u in the form i*u**2 + v*u + g and give g.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 672*f - 1340*f + 3879*f**2 + 668*f to b + k*f + w*f**2 and give w.\nAnswer: 3879","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -224*o = -1891 + 547 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 171 and 456?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**2. Let d(y) = y**3 + 2*y**2. Suppose -4*i + 6*i + 4 = 0. Let v be ((-4)\/(3\/(-3)))\/i. What is v*b(c) - d(c)?\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/4, 3, -103.4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 - 4062\/(-252)) + (-38)\/133?\nAnswer: 17\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 3, 3*r + x = 13 + 14. Suppose r*c - 89 = 247. Is c a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6172 - -6264. Solve 4 = -88*t + g*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = 183*q - 179*q. Let x = q - -25. What are the prime factors of x?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - 13) + 1 + (-1 - (-2 + -11))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (35 - 30)*(-4 + 0)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*m - 24 + 11*m + 11 + 5 - 4*m in the form w*m + a and give w.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2468*c**6*k - 10894*c**4*k*l + 19*c**2*k*l + 534*c**2*k + 4*c**2 + 61*c*l - c wrt c?\nAnswer: -296160*c**3*k - 261456*c*k*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27975?\nAnswer: 3, 5, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11136 = -1325*s + 2114 for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0051757 rounded to 5 dps?\nAnswer: -0.00518","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 1 = 0, 0 = -4*z + 3*s + 1129273 + 790122. Let r = z + 20152. Round r to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the third derivative of x**7\/1260 + x**6\/360 + x**5\/120 + x**4\/8 - 7*x**2. Let d(n) be the second derivative of a(n). What is d(-3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -0*h - 5*h + 25, 5*b + 25 = 0. Let n be (-8)\/(-52) + (-37)\/(-13) - 6. Suppose 2*p + 4 + 0 = 0. Put n, h, p in decreasing order.\nAnswer: h, p, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 0, 0.2, -1780?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0035178 rounded to five dps?\nAnswer: 0.00352","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*t - 7*t + 4*t)*(-63 - 2 + 2) + (4 + 1 - 4)*(3*t - 4*t - t) as w*t + b and give w.\nAnswer: 313","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - t = 35 - 14, 2*r - 2*t = -6. Let p be (-3258002)\/r - 23\/69. Round p to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 times -3.11085\nAnswer: -3.11085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -142.69 < -2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3403114 (base 6) in base 11?\nAnswer: 108061","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/4))**(-3\/13) assuming h is positive.\nAnswer: h**(3\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*v**4 - 175486*v**3 - 5708998*v wrt v.\nAnswer: 36*v**2 - 1052916*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 21778036 to the power of 1\/2, to the nearest integer?\nAnswer: 4667","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 - (3\/(-6) - 1\/(-6)). Let o be 7\/(-63)*18\/(-4). Let s = 8\/3 + -67\/24. What is the biggest value in s, o, y?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52 = -400*h + 404*h for h.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -1127038*s - 2. Let p be n(-1). Let v = p + -527036. Round v to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -53 + 55. Suppose -a + 4*q = -228, 7*a - h*a - 1117 = -3*q. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-4))\/((-23)\/4 - -6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3508187 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*5)\/(-10*(-108)\/180)*52\/(-325)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 5*f**3 + 3*f**2 + 1. Let a be j(4). Suppose o = 4*w - 0*w + a, 2*o + 2*w = 768. Suppose 7*t = 10*t - o. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 AM and 5:08 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 10, q - 4*t + 3 + 0 = 0. Suppose 5*v + 2 = q. Let i(y) = y + 17. Let m be i(-22). Sort m, 2, v in decreasing order.\nAnswer: v, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 11*o - 17*o + 9*o. What is the remainder when 39 is divided by o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -c + 4*k, -5*k = -301805*c + 301804*c + 20 for c.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-47*b - 37*b + 101*b)*(-131*b + 14*b + 48*b)*(-1 - b**2 + 2*b**2 + 3) - b**4 - b + b in the form l + z*b**4 + p*b**2 + i*b + a*b**3 and give p.\nAnswer: -2346","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 153495049.\nAnswer: 53, 59, 191, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 249 is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from amyktkp. Give prob of sequence kpma.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -44 - -222\/5. Solve 2\/5 - p*u**2 + 0*u = 0 for u.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -808*k**2*s**2 + 10*k**2 + 15415*k + 51103*s**2 - 17*s wrt s.\nAnswer: -1616*k**2 + 102206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qw when two letters picked without replacement from wooytoowooqyotyooooo?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of 11*j**4\/4 + 8. Let d(r) = -5*r**3. Determine -7*d(i) - 3*u(i).\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -98 + 102. Is m smaller than -0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 4*d + 15 = 0. Suppose d*t - 12 = -2*f, -3*t + t - 5*f = 3. Determine g, given that 5*g**3 + 0*g**5 + 0*g**3 - g**2 + g**5 - t*g**3 + g**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*6\/10*29\/2175*-5*-100\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -12102, 0, 3, -23 in decreasing order.\nAnswer: 3, 0, -23, -12102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b6 (base 15) to base 14.\nAnswer: -204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*h**2 + 69*h**6 - 73*h**6 + h**2 wrt h.\nAnswer: -480*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeovvvevvoovevo. Give prob of picking 1 o and 2 e.\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 2473977?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*j + 118318 = 117703 for j.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 9*n**3 - 19*n + 6. Let x(q) = 13*q**3 - 18*q + 6. Determine 3*j(f) - 2*x(f).\nAnswer: f**3 - 21*f + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 - 5*y**2 - 27*y + 13. Is u(14) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (4*2*(sqrt(640) + sqrt(640)*-1))\/(-4*(-6*(-2*sqrt(80) - sqrt(80)))\/sqrt(10)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -40.3517 and -0.3?\nAnswer: 40.0517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -50\/13919?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 561*z. Let m(a) = -2*a. What is m(u(s))?\nAnswer: -1122*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 - 3. Let y(m) = 5 - 1 + m**2 + m**2 - i. Let g(x) = 465*x + 3722. Let b be g(-8). Let a(h) = -8*h**2 - 9. Give b*a(c) + 9*y(c).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1403 (base 9) to base 15.\nAnswer: -4a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 60 + -8. Let j be 1\/(14\/z) - (-10)\/35. Let n = 0.31 + -0.41. Put 0.4, j, n, -2\/21 in decreasing order.\nAnswer: j, 0.4, -2\/21, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 64*q**2 - 70*q**2 - 12*q + 3*q**3 - 86*q**4 + 88*q**4 - 6*q**2 as o*q**2 + f + k*q**3 + z*q**4 + j*q and give o.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142 is divided by 36?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2 + 5*g - 5. Let c(b) = 5*b**2 + b. Let t(d) = d - 9. Let s be t(8). Let j be c(s). What is k(j)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -209748\/43 or -4878?\nAnswer: -209748\/43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.625 - 44.395. Let h = -38 - r. Let q = h + -0.76999971. Round q to seven decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 262*g + 100 + 76 = 86*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.11529 + -1059.08471. What is i rounded to the nearest 100?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*s - 372 - s + 4*s.\nAnswer: -s - 372","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -324 - -325. Calculate the greatest common divisor of 29 and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1806 divided by 14\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(242) + -2*1*sqrt(242))\/sqrt(11))\/((sqrt(704) - sqrt(44))*6).\nAnswer: -sqrt(2)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/30*1*(2088\/48)\/(-29)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 786002 is divided by 261997?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/19)\/o**(-1\/29)*(o\/(o\/o**(-1\/12)))**(7\/12))**(-33) assuming o is positive.\nAnswer: o**(104203\/26448)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 168495481 and 3538.\nAnswer: 1769","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5303 - -5306. What is the nearest to 1\/5 in 0.1, r, -10, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -513 - -983\/2. Let j = -469\/22 - r. Let t = -1028\/9 - -114. Which is the closest to t? (a) 0.1 (b) j (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 5, m: 3, b: 1}. Give prob of picking 1 m and 1 b.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 5*z - 0*v + 200, z + 35 = -2*v. Is (-4)\/3*z\/10 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 e when two letters picked without replacement from cxekxee?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 AM and 5:44 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 4015 divide 420154624?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36918996 is divided by 49?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.1 + 0.1. Let v = 72\/671 - 1\/61. Sort r, v, 0 in decreasing order.\nAnswer: v, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 - 2)*(-a - a + 0*a)*(0*a + 0*a + 2*a**2)*(-55 + 55 + 10*a).\nAnswer: 40*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 14, p: 4}. What is prob of picking 4 t?\nAnswer: 1001\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 40 = -4*c, -26*c + 21*c - 2*n + 58 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 43212 and 3900.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.2190826833 - 51.7809159967. Let r = -52 - v. What is r rounded to seven decimal places?\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*g + 8*g - g + 0*g - 10040*g**3 + 9717*g**3.\nAnswer: -323*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h + 2*h - 3*h)*(3*h - 3*h - 2*h)*(0 - 4 + 1)*(3 - 5 - 2).\nAnswer: -48*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11772.\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6686 is divided by 374.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - -3. Suppose -3*a + 5*b = n, 4*a - 4*b + 5 = a. What is the second derivative of -4*j - a*j**3 + 5*j + 10*j**3 + 9*j wrt j?\nAnswer: 30*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(12\/2)*-242. Let b = 107 - 96. What is the highest common factor of b and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -810 = 145*w - 315 + 375 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8749206607 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -6*(sqrt(2299) + (-1*sqrt(2299) + -2 - sqrt(2299)) + sqrt(2299)*-2 + -5 + 5)**2.\nAnswer: -124173 - 792*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(150\/40))\/((-2)\/5)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttttgtggttt. Give prob of picking 2 g.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25654188 divided by -12827094.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -6*q + 35. Let f be v(4). Solve -f = p - 8 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4606150 to the nearest 10000.\nAnswer: -4610000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/1*((-4)\/(-8))\/((60\/(-3))\/(-120)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 26199915?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 79? (a) 5 (b) -4 (c) -0.1 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2832909837?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54 + 3*i - 51*i - 7 - 9 + 46*i.\nAnswer: -2*i - 70","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 156, 1113, 3684, 8679, 16908, 29181, 46308, 69099?\nAnswer: 98364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 411*v**2 - 83*v - 84. Calculate the remainder when f(-1) is divided by 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -428*g + 368*g + 1 - 1 in the form u + v*g and give v.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-18))\/((-2981)\/2981).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5104746969?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 + 3. Let i(h) = -2*h**3 - 4*h**2 + h - 5. Let v be i(l). Suppose o = -3*o + v. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 4*h + 5*b, 2*h + 68 - 84 = 2*b. Let n(k) = k**2 + 4*k + 3. Let g be n(-4). Find the second derivative of -s - g*s**4 - h*s - 2*s wrt s.\nAnswer: -36*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 6, 23, 217, 2?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -214 + 200 + 412*n**3 - 44*n - 411*n**3 - 12*n**2. What is u(15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 (base 6) in base 4?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -29 + 28.7. Put 4, g, -2 in descending order.\nAnswer: 4, g, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 111820135.\nAnswer: 5, 7, 17, 23, 8171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 + 7*p**2 + 6*p + 4. Let n be o(-6). Suppose -n*v - 2*l = -5*v + 4, -4*v - 6 = 3*l. Find the first derivative of y + 5 + v - 3 wrt y.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 156249 and 19933?\nAnswer: 643","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p - 10. Let m be 245\/(-20) + 3\/(-4). Calculate j(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15.9 + -15.6. Let w = -0.44 + 0.04. Let l = w + 0.2. Which is the second biggest value? (a) l (b) f (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1012 (base 3) to base 15\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 608 and 96?\nAnswer: 1824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 1762*r**2 - 998*r + 999*r + 3 + r**3 + 4709*r**2 in the form n*r + w*r**2 + p + f*r**3 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000064078 rounded to 7 dps?\nAnswer: 0.0000064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 + 4*i**2 + 6*i - 1. Let s = -1 - -3. Let p(r) = r. Let w be -2 + -1*(3 + -4). Let l(g) = s*p(g) + w*a(g). What is l(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + -1\/3. Let z = -1.691 + 1.491. What is the closest to w in -2, z, 0.1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -171316 - -260316. Round m to the nearest 10000.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**3 - 910*u**2 - 17095*u - 30590.\nAnswer: -5*(u + 2)*(u + 19)*(u + 161)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-24)\/72 + (-20)\/(-6). Suppose 39 = 2*o + 5*t, 2*o - 3*o - m*t = -22. What is the lowest common multiple of 25 and o?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -200401 (base 5) to base 2\nAnswer: -1100011001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of 5*k**4\/8 - 11*k**2. Let z(i) = -i. Calculate l(z(d)).\nAnswer: -15*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 6 + -6 + -8\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 8 = -2*p, -63*b + 6 = -60*b. Factor -27*l**p - 3*l**4 - 81\/4*l + 0 - 1\/4*l**5 - 27\/2*l**3.\nAnswer: -l*(l + 3)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 33 - -2101403411?\nAnswer: 2101403444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g - 0*g + 9. Find the second derivative of -7*x**3 + g*x - x - 4*x - 4*x wrt x.\nAnswer: -42*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7007622?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - r - 1 = -3*f + 9, -2*f + 11*r = 6 - 56 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 24\/919 and 37\/48.\nAnswer: 44112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2514262, -2514260, -2514258, -2514256?\nAnswer: -2514254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -655 (b) 2 (c) 4\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 302 divide 95261370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1906 = o - 1033. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -391 + 376. Let q be -4 - (21\/(-6) - s\/10). Let w(r) = 12*r + 5. Determine w(q).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 10:35 AM?\nAnswer: 6:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.74 - -0.94. Which is greater: 1 or d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*u + 20*u + 793 = 0. Let l(o) = 69*o**2 + u*o**2 + 27 - 128*o**2. Let f(t) = t. What is l(f(g))?\nAnswer: 2*g**2 + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the third derivative of -z**6\/360 - 15*z**3\/2 - 10*z**2. Let t(c) be the first derivative of n(c). Let x(a) = -62*a**2. Determine x(t(o)).\nAnswer: -62*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001238778 to six dps.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -2*v + 1 + 4*v - v. Let c be p(6). Suppose -c = -4*z + 5. Solve z*b - 4 = b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1724 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: What is ((-3)\/6)\/((-22)\/(-44)) + 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8.4 + 3. Let o = -0.4 - u. Let x = 0.05 + 0.05. What is the closest to x in o, -2, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000931367837 rounded to 7 decimal places?\nAnswer: -0.0000093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/16)\/(3\/18).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jro when three letters picked without replacement from {j: 1, o: 1, x: 6, r: 1, k: 1, h: 1}?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 9:13 AM?\nAnswer: 9:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -104, -108, -114, -122, -132, -144, -158?\nAnswer: -174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 10:42 AM?\nAnswer: 11:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 68334 divided by -6?\nAnswer: -11389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -733*b + 315 + 301 = -645*b for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-117 - 33*q + 117)*(-q**2 + 0*q**2 + 0*q**2) - 40*q**3 - 2115*q**2 + 2115*q**2 to n*q + p*q**3 + r*q**2 + h and give p.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 3*r - 3*c - 37, 3*r - 5*c = 67. Let d be (-7)\/r*(1 - 1)\/2. Suppose d = 31*g - 35*g + 7796. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2*n - 1. Let h be 88\/(-10) + (-5)\/25. Let b = h + 8. Give l(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-60)\/4*282\/(-235).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 - 5*y + 1. Let a(u) = 2*u + 4. Let i be a(-4). What are the prime factors of r(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16 + -12. Suppose -16 = -g*b + 16. Suppose 2*z - b*z + 324 = 0. Does 10 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (2\/6)\/(3\/1269) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of -g**5\/60 - 29*g**4\/24 + 2*g**3\/3 - 4*g**2 - 2*g. What are the prime factors of q(-20)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2308 is divided by 70?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/(-25))\/((-18)\/(-60)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -544497, -2177921, -4900295, -8711619, -13611893, -19601117?\nAnswer: -26679291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -2\/3, 40\/11, 2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13155*f**2 - 8905*f - 1 wrt f.\nAnswer: -26310","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 1:50 PM?\nAnswer: 10:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1517273?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*f + 8*f - 3*f**2)*(-25 - 11 - 7 - 2*f).\nAnswer: 6*f**3 + 129*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 4*u**2 - 3*u. What are the prime factors of h(4)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 197852009 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(2\/3)*l)**0\/((l\/(l**(1\/7)*l))\/l*l\/l**(-2\/11)))\/(((l\/(l\/((l*l**1\/l)\/l*l)))\/l)**(6\/11)*(l**2)**(5\/12)) assuming l is positive.\nAnswer: l**(-403\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 + 8*w - 14. Let d(f) = 6*f + 1. Let r be d(-2). What is the tens digit of m(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q + 57. Let n(g) = 29. Determine -5*n(y) + 2*x(y).\nAnswer: 2*y - 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of -q**5\/15 + 239*q**4\/6 + 2072*q**2. Suppose j(f) = 0. Calculate f.\nAnswer: 0, 239","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/((-17)\/(6781555\/22)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 7 = 9*j - 6*j, -2*j + 6 = 2*y. Let t(m) = -m**3 + 4*m**2 + 2*m + 1. Let l be t(3). Put l, -5, j in increasing order.\nAnswer: -5, j, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r + 14*r**2 - 28*r**2 - 1 + 1.\nAnswer: -14*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -95 and -0.18361?\nAnswer: 94.81639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -153.737 to the nearest ten.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23 - 12. Let z = -16 - f. Solve -6*x + x = -2*k - z, 0 = 3*x + 5*k + 1 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 2, 689735?\nAnswer: 689735","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 + 2*t**2 - 2*t + 13. Let m be q(3). Let d(f) = -2*f**3 - 4*f**2 - 4*f + 1. Let j be d(m). Calculate the highest common factor of 81 and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 4182?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence knvv when four letters picked without replacement from {k: 1, v: 2, n: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 5*g + 27. Let h be v(6). Solve -59*c - 8 = -h*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*f - 105*f - 2382 + 14637 = 0. Solve -9*o + f = -28*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 2887523637231 and 8.\nAnswer: 2887523637239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 738 a factor of 2512890?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 100819 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85740279 is divided by 316?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(2 - 1)*3. Let o(u) = u**2 - 4 - 1 - 2 + 4. Calculate o(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3302*s**2 - 1906*s wrt s?\nAnswer: -6604","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -368 - 20*c + 136 + 145. What is the hundreds digit of x(-25)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - 3. Let l be (n\/(-4))\/(6\/(-8)). Which is greater: l or -3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3176849213 to the nearest integer?\nAnswer: 1470","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -145166 or -145165?\nAnswer: -145165","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 PM and 10:01 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 3*y - 68, -5*y - 14 = 4*s - 74. Let u = 92 + -88. Suppose 5*t - u*a = 29, 5*t - 3*a + 4*a - 24 = 0. Solve y + 9 = -t*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-84)\/(-45))\/(-14))\/((-16)\/12).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.1 - 0.1. Let l = 419 - 422. What is the biggest value in o, l, -1.4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - -7) + (36\/21)\/((-21)\/(-343)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -356338, -1425144, -3206488, -5700370, -8906790, -12825748, -17457244?\n\"Answer: -356269*h**2 + h - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 161*v - 158*v - 12. Let g = -1 + 5. Calculate the remainder when g is divided by v.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the third derivative of x**4\/24 - x**3\/6 + x**2. Let w be r(5). Find the first derivative of 0*d**4 - 3*d**4 + 4 + 5*d**w wrt d.\nAnswer: 8*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 + 7*r**2 + 544*r + 94. Give f(-20).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37203, 74404, 111605?\nAnswer: 148806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(10\/(-4)))\/((-10)\/(-75)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + -4 + 3 + 69\/21. Let i = 507.99 - 508. Which is the closest to 0? (a) i (b) -3\/8 (c) 0.4 (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*x - 65 + 5. Suppose o = 2*d + 13 - 29, -x*o + 17 = d. What is the greatest common divisor of d and 423?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13401 (base 5) to base 2\nAnswer: -10001001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 29988369?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/60 - (-1)\/(-3). Let m be -4*4\/(-16) + -6. Which is the third smallest value? (a) w (b) -0.1 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 - 8*v**2 - 8*v - 3. Suppose 2*q - q + 8 = -i, 24 = -3*q - 5*i. Is b(q) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 515398 divided by -261\nAnswer: -515398\/261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14 + 55\/4. Which is the second smallest value? (a) m (b) -2\/5 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 13494*l - 1983623. Determine h(147).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24458 - -171208\/7. Let c = -7 - 2. Sort c, -5, 2, o in descending order.\nAnswer: 2, o, -5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2359*w - 25495 = 5172 for w.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkdekede. What is prob of sequence dkd?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16348.74101 - 16364.64. Let j = 15.9 + f. Round j to 4 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**4\/5 + 2*v**3\/5 + 72*v**2\/5 - 416*v\/5 + 128.\nAnswer: -(v - 4)**3*(v + 10)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -470069963 divided by 4.\nAnswer: -470069963\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 5 = 3*v + 19, -3*q + v + 10 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/(-3))\/((-12)\/(-126)). Let v = -10 - y. Let w(u) = u**2 + 5*u - 9. What are the prime factors of w(v)?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1092*f + 5151 - 1692 = -8859 - 786 for f.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the second derivative of -5*f**3\/2 - 77*f**2\/2 - 2*f. Calculate the remainder when b(-21) is divided by 48.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -31085\/259908 - -35\/2148. Let m = -378\/121 + f. Find the common denominator of 2\/(-5) + (-33)\/(-30) and m.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + n + 2*n = -16, 5*n + 18 = 4*w. Suppose 0 = w*d + 10 - 18. Let u be (-38)\/d + 6\/12. Is u not equal to -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3173645 (base 9) to base 16\nAnswer: 19f87d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -15. Let i(w) = -2*w - 4. Let o be i(-5). Calculate the highest common divisor of m and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*c**3 - 465*c**2*k*m**2 - 275*c - 99*k*m**2 - 1112*m**2 wrt c?\nAnswer: -6*c**2 - 930*c*k*m**2 - 275","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 + 7*j + 1. Suppose m = -0*m - 2. Suppose -120 = -2*i + 4*f - 12, i = f + 54. Let d(o) = 84*o - i*o - 28*o. Calculate m*g(k) + 7*d(k).\nAnswer: 2*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.1962 - 18.8038. What is the closest to -0.1 in -5, 5, 1\/2, a?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 271*n**3 - 2*n**2 - 14*n + 13. Is 67 a factor of y(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.3 (b) -20 (c) -240 (d) 1 (e) -2\/7 (f) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**2 - 4 + 4)*(-4 + 7 - 1) + 3*w**2 - 3 + 3 + 4*w + w**2 - 4*w + (w - w - 2*w**2)*(-2 + 2 - 2).\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 PM and 2:42 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -3*p + 3, -6*p + w = -2*p - 4. Let l be 1 - (1 - p) - 1. Suppose l = 4*g + 4*b - 5148, -5*b = -5*g + 5110 + 1285. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 32, 80, 126, 170, 212, 252?\n\"Answer: -r**2 + 51*r - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -53368, -54777, -56186?\n\"Answer: -1409*y - 51959","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 32668964?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*f**2 + 104 - 198 + 94.\nAnswer: 23*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in thirteen fifths of a millimeter?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of 0*v + 0*v**2 - 2\/3*v**3 + 3\/4*v**4 + 3. Find the third derivative of u(s) wrt s.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -638, -266, 706, 2578, 5650?\nAnswer: 10222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(1*sqrt(12) + -2 + sqrt(6)\/sqrt(2)).\nAnswer: -6 + 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 816 and 20196?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 32 - -23. Suppose 2*k + 100 = 2*x, x + 6*k - 2*k = f. Does 17 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5\/75)\/(6*10\/180). Which is the closest to 2? (a) 2 (b) p (c) 0.193 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 374983 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1\/10 of a millennium?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 676710.\nAnswer: 676710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 + 7*u**2 + u - 7. Let h(k) be the second derivative of k**4\/12 + 5*k**3\/6 - 7*k**2\/2 - 4*k. Let b be h(-5). Calculate x(b).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7084 = 1264*j - 27044 for j.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 8 = 0, -4*y + 9 - 21 = -4*g. Suppose 4*x = -70 - 18. Let k be -1*((-46)\/x - 2). Which is smaller: k or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a milligram in micrograms?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 + s - 2. Let z be m(-6). Let w = z - 79. What is w rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 114\/27 - 4\/18. Differentiate o - 13 - 2 - 11*w**2 wrt w.\nAnswer: -22*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 235119 is divided by 117527.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 136, -2, -8\/5?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 151\/1584 and -37\/2640?\nAnswer: 7920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 7, z: 2, l: 4, i: 2, e: 1}. Give prob of picking 2 g and 2 l.\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3657619 (base 10) to base 8.\nAnswer: -15747623","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 966034?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42 - 68 - 131391*t + 8.\nAnswer: -131391*t - 102","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 126796278?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54015816.\nAnswer: 2, 3, 167, 13477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2889683 nanograms in tonnes?\nAnswer: 0.0000000000000002889683","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -8902, -6, 0.6, 5, 0.5?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -9 (b) 24 (c) -5 (d) 0.4 (e) 4 (f) -0.13 (g) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192) - (sqrt(192)*-1 + sqrt(192)))**2*-2 - (sqrt(192)*-2*-5 + sqrt(192) - sqrt(192)).\nAnswer: -384 - 80*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/40 and 40\/863213.\nAnswer: 34528520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 10.106298 times 5\nAnswer: 50.53149","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 2150, 53, -1 in decreasing order.\nAnswer: 2150, 53, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 15750*9\/((-27)\/(-80)). Suppose -6*u - o = -u. Round u to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u - 2. Let k be a(1). What is the remainder when 65 is divided by 1*(k + 0 + 23)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -4 (c) 12 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 356374922?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9690*x**2 + 9685*x**2 - 19370*x**2.\nAnswer: 5*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vf when two letters picked without replacement from {f: 3, v: 9}?\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -170 - -169. List the prime factors of 0 + 0 + (w - 2) - -230.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iu when two letters picked without replacement from adiadu.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18828162 and 6.\nAnswer: 18828162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 17*s**2 - 24*s**2 + 11*s**2. Let n(u) = 8*u**2. Give a(n(t)).\nAnswer: 256*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 2\/3, -2\/5, -5, 5, -33.8, 692?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 12246 + 3?\nAnswer: 12252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 51833 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 2*m - 30, 0 = -4*c + m - 2*m + 84. Solve 5*t + 5*h + 7 = c, 2*h = t - 3 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55827 is divided by 2233?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -183838138 and -0.2.\nAnswer: 36767627.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 3, -5, -233, -3, 6, 43 in decreasing order.\nAnswer: 43, 10, 6, 3, -3, -5, -233","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from {w: 8, x: 5}?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v. Let m(i) = -2*i + 2. Let h(f) = m(f) + 3*x(f). Let o be 1*(-4 + -1)*1. Give h(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18.243*135\nAnswer: 2462.805","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 153235644?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 614 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 248289\/7 - 35338. Let z = -132 + i. Let n = 1.7 + 0.3. What is the second smallest value in 0.4, z, n?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -7 (b) -2\/13 (c) 1\/3 (d) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, l: 2, b: 1, m: 1, q: 1}. Give prob of sequence lqlo.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of b**3\/6 + 3*b**2\/2 + 13*b. Calculate the lowest common multiple of j(9) and 34.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1166)\/(-159)*24\/(-16).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -8 - 26. Let t = g - -10. Which is the second biggest value? (a) -0.2 (b) t (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 70 + 52. Let q = 63 + o. Solve q*h = -15 + 21 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/23261638 at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -34*z - 277 + 277 - z - 2*z + 5*z + 2*z + 0*z - 4*z + (-2 + 3 + 0)*(2*z + 0*z - 3*z) - 24*z - 91*z + 8*z.\nAnswer: -142*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2816629 or 2816623?\nAnswer: 2816623","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -1\/4647?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*j**2\/15 - 91856*j\/5 - 3031006\/15 = 0. What is j?\nAnswer: -137773, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8685*r**3 + 1157*r + 179*r - 1336*r - 8686*r**3.\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*n**4 + 981*n**3 - 390*n**2.\nAnswer: -3*n**2*(n - 65)*(5*n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(91) - 2*(sqrt(91) - (-5*sqrt(91) - sqrt(91))))\/(4*sqrt(567)))**2.\nAnswer: 2197\/1296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2 + d + 1. Let g be w(1). Let q be 27\/(-18)*(3 - g). Sort -16, 0, q.\nAnswer: -16, q, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1014 is divided by 108?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*f + 3*f - 6*f + (0*f - 4*f + 2*f)*(-3 - 4 + 2)*(-2 + 1 + 0) to r + z*f and give z.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00747499758 rounded to four decimal places?\nAnswer: 0.0075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15 + -11. Let n be (1 - (-2)\/(-2))\/2. Let r = n + 0. Solve r = 3*t, -5*t = -h*d - 18 - 2 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7486, -26882, -53636, -83188, -110978, -132446, -143032?\nAnswer: -138176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*w + 7*w - 26*w - w**3.\nAnswer: -w**3 - 5*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 369237704?\nAnswer: 2, 11, 4195883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -266 + 413. Let a = s + -142. Solve 5*k - 25 = a*r, 0 = -5*k - 4*r - 1 - 1 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*m - 3*m + 0*m + (-2*m + m + 0*m)*(0 + 6 - 4) + m + m - 4*m)*(5*m**3 + 12*m**3 - 14*m**3).\nAnswer: -6*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1170 = 4*k - 10*k. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2575, 5136, 7697, 10258, 12819, 15380?\n\"Answer: 2561*q + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -64 - -106. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1264536*f**4 + 96*f - 128217790?\nAnswer: 5058144*f**3 + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f - 6. Let a be j(-6). Suppose 4*c - 10 = -a*p - p, 4*c = 4*p. Solve 3*r = p*h, h + 2*r - 12 + 5 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5855 and 505?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 + 12. Suppose 0 = h*z - z. Solve 8*w - 4*w + 16 = z for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, 5, 12, -181.\nAnswer: -181, -26, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81*o + 2477385*o**2 + 2477386*o**2 + 2477385*o**2 - 7432155*o**2.\nAnswer: o**2 - 81*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-9\/11))**(-5)\/((y**35\/y*y)\/(y\/y**(-31))))**33 assuming y is positive.\nAnswer: y**36","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -373*x + 376*x - 6279. Suppose x*o + 4 = 2094*o. Solve -z - o = -3*z - 2*l, 14 = -5*z + l for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119 is divided by 44 + -10 + 2*-3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/51 - 24978\/102. Let z = o - -675. What are the prime factors of z?\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 63748988?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/(-144)*(-282)\/((-6)\/6)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 + -0.1825.\nAnswer: 0.1175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/7 (b) 1 (c) -77 (d) -5\/24 (e) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.2287 rounded to 1 decimal place?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -2*o. Let n(h) = -5*h**2 + 3. Let z(b) = -10*b**2 + 7. Let x(c) = -7*n(c) + 3*z(c). What is x(t(r))?\nAnswer: 20*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 42564 - 42564 + 18*j**4 + (-4 + 4 + 2*j)*(7*j**3 + 5*j**3 - j**3) - j**4 + 4*j**4 - 5*j**4 to the form i*j**3 + u*j**2 + m + t*j**4 + s*j and give t.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1763 (base 9) in base 3?\nAnswer: -1212010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 10 = 5*m - 15, 5*m - 4*y = 15. Let z = m + 8. Let b = 20 + 9. What is the remainder when b is divided by z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -2*x**3 + 5*x**2. Let b(q) = -4*q**3 + 9*q**2. Give 3*b(o) - 5*h(o).\nAnswer: -2*o**3 + 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 9:56 PM?\nAnswer: 5:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 23*p = 28*p + 10, 2*u - 5*p = 15 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 415 - 8. Let a = u - -10. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 45.3?\nAnswer: 90.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 2*a + 220 = 0, 191 = -2*m - m - 5*a. Let y = 63 + m. Solve 0 = 5*c + 4*h - 15, -3*c = -c + h - y for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 3*n - 513 = -471, 4*a - 23*n = 41 + 38 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 199569927 divided by -2657?\nAnswer: -75111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of -63*u**3 - 3*u**2 - 7*u + 86. What is the second derivative of v(w) wrt w?\nAnswer: -378","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 - m**2 + 4. Suppose -z = -5*z. Let t be x(z). Suppose 2*u - 14 = -0*p + 2*p, 0 = 5*u - t*p - 35. What are the prime factors of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of -p**6\/6 - p**4\/12 + 5*p**3\/6 - 5*p - 8. What is the third derivative of u(h) wrt h?\nAnswer: -120*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 5:37 AM?\nAnswer: 11:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 3*q = 14 + 4, 0 = -5*p + 3*q + 12. Let v be 8\/3 - (-1)\/p. What is the second derivative of 4*c + 13*c**3 - 6*c**3 - 7*c**v + 5*c**4 wrt c?\nAnswer: 60*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5416.9834656 + 20.6\nAnswer: 5437.5834656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 - 0) + 16 + (5 - 9). Suppose 15*z - v*z = 0. What is the closest to z in -1, -0.1, -0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 42 = -5*u. Let h = -4 + u. Suppose -3*t = -h*y - 336, -5 = 5*y - 10*y. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4\/5 (b) -0.5 (c) 0.3011 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of 0 - 13*n**3 - 12*n - 13\/2*n**2. Find the first derivative of o(b) wrt b.\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 6 = 5*z - 4*z, z - 12 = 3*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3469, -2, 24, -5.\nAnswer: -3469, -5, -2, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 581.9207 + 7.141.\nAnswer: 589.0617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g = 4*g + 12. Solve 0*r = -g*r - 4 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -27 - -32. Suppose -29 = -2*d - 4*p + 45, -d - m*p = -34. Let l = d + -24. Calculate the highest common divisor of l and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113763061 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 + 62*l + 152. Is y(-61) a multiple of 91?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -0.2, -3\/5, 17\/354808?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (18\/135)\/(-3 - (-134)\/42) and -133\/90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5e (base 15) to base 13\nAnswer: -6b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of 0*m + 0*m**4 + 0*m**3 + 0*m**6 + 2\/105*m**7 + m**2 + 1\/30*m**5 + 0. What is the third derivative of b(u) wrt u?\nAnswer: 96*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21729.\nAnswer: 3, 7243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q**3 + 576*q**2 + 1140*q + 568 = 0. Calculate q.\nAnswer: -142, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -33*i + 35*i - 24. Suppose -3*f - 20 = -7*f + 3*z, -3*z = i. Factor 0 + 2\/5*p**f - 4\/5*p.\nAnswer: 2*p*(p - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -14*h - 11. Let j(n) = -7*n - 6. Determine -7*j(b) + 4*z(b).\nAnswer: -7*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*b + 15*b + 50 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*g**3 + 141*g**3 - 121*g**3.\nAnswer: -4*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.3, 2, -1.1, 0.2, 278?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 397 a factor of 3059124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -188*r + 4. Let y(g) = -948*g + 21. Give 11*q(v) - 2*y(v).\nAnswer: -172*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 15 = 3*m - 2*v, 3*v - 9 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-10)\/15 - 20\/(-21). Suppose 3*g - 4*m + m = 3, 4*g + 2*m = -14. Let i be (g*2\/(-4))\/1. Which is smaller: i or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 + -11. Let p(q) = q**5 - q**4 - q**3 - q**2. Let d(l) = 13*l**5 - 19*l**4 - l**3 - l**2. Let x(g) = y*p(g) + d(g). Factor x(o).\nAnswer: 3*o**2*(o - 1)**2*(3*o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-2\/5))**(-41)\/(s\/(s\/(s\/s**(1\/3))))**(1\/9))**(-5\/4) assuming s is positive.\nAnswer: s**(3331\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1580, 1, -45 in descending order.\nAnswer: 1580, 1, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 7*f = -5. Let c be (12\/f)\/4 - -17. Suppose -5*d + 25 = 0, 2*a + 4*d - c = 3*a. Solve a + 4 = 5*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 100812 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (10\/4)\/((-75)\/(-18)*(476\/(-680))\/7)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4623+-55162916449\nAnswer: -55162911826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/(-260))\/((-30)\/(-9)*(-99)\/(-825)).\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*x - 30 = -30*x + 5*z, -5*z + 30 = -5*x. Let f be 2\/4*-2 + (-3 - x). Put f, 10, 19 in increasing order.\nAnswer: f, 10, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 897746*m + 914*m**3 - 135*m**3 - 897695*m wrt m?\nAnswer: 4674*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -83, -100, -143, -224, -355?\n\"Answer: -2*w**3 - w**2 - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11609664203 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*3308.\nAnswer: -1654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 2 = -6 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -116000 - 4?\nAnswer: -116004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18937?\nAnswer: 29, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2528723 is divided by 2764.\nAnswer: 2427","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15276?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -134*n**2. Let c(t) be the third derivative of 11*t**4\/12 + 9282*t**2. Calculate o(c(p)).\nAnswer: -64856*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from efeeeeeefe. What is prob of sequence eeee?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 2:51 PM?\nAnswer: 1:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/6)\/((-5)\/15). Suppose o*x = -0*x - 2*d + 28, 0 = -d + 4. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5.2*-2\nAnswer: -10.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**3 + 3307*b**2 + 13249*b - 16555.\nAnswer: -(b - 3311)*(b - 1)*(b + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/462 and -143\/2226.\nAnswer: 24486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 1 + -3 - (-5 - -7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - s = 3*s + 916, -2*q = 2*s - 922. Suppose -6*c - 4 = -q. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 290833 is divided by 119.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 87900?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 8280 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 2*w - 1 + (-5*w + 3*w + 5*w)*(-2 + 5 - 4) - 2*w - 1 + 1 + (3 - 3 - w)*(-2 + 1 - 1) + w - 5 + 5.\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 8601.216 millilitres?\nAnswer: 8.601216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 215736 and 178?\nAnswer: 215736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/42 + ((-6)\/(-21) - 1950\/175)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 182915*t = a + 182912*t + 26, -4*a = 4*t + 56 for a.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the third derivative of l**5\/10 - l**4\/8 + l**3\/2 + 6*l**2 - 4*l. Let d be n(1). Solve -4*w = -w + d for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 120 and 445704?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/((-2)\/25 + 0). Let b be (18\/21)\/(2\/(-14)). Let s be b\/(-14) - 2091\/(-21). Calculate the greatest common divisor of h and s.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 239*h + 633*h - 12 - 1110*h + 263*h.\nAnswer: 25*h - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 0*h + 3*h - 5*h. Suppose 3*m + j - 52508 = 0, m = 2*j + 7310 + 10188. Let p(v) = 7*v**2 + m - 17502. Give p(k(y)).\nAnswer: 28*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23439101 to the nearest integer?\nAnswer: 286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9980263 = 45*n + 2042848. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -634 * 121\nAnswer: -76714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -324 = -6*s - 312. Let i(a) = -2*a + 4. Let r be i(3). Let x = r - -6. Solve g = 3*g + x*d - 10, -5*g - d = s for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 432 + -437. Sort 47, w, -3 in decreasing order.\nAnswer: 47, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/7 (b) -2\/9 (c) 3 (d) 4\/39 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -71038248 divided by -11839708\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 3*j - j. Calculate the lowest common multiple of 18 and j.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 3*j + c = 13, 2*j - 10 = -c. Let o be ((-18)\/(-4))\/((-150)\/24 + 7). Calculate the greatest common factor of o and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - c - 8 - 1 = 0, 5*c = -w + 27. Suppose -3*q - w = 0, 2*q - q = -2*s + 2. Suppose -s*b = -7*b. Put b, -1, 1 in ascending order.\nAnswer: -1, b, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*w**2 - 2*w**2 + 2798*w - 5617*w + 2804*w - 28*w**3.\nAnswer: -28*w**3 + 4*w**2 - 15*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11? (a) 2 (b) 9 (c) -352\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -3*s - 4 + 3*s**3 + 9*s**3 + 11*s + 11*s**3 - 2*s**2. Let c be y(4). Find the third derivative of -c - 2*i**5 + 16*i**2 + 1468 wrt i.\nAnswer: -120*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1085, -1155, -1309, -1547?\n\"Answer: -42*r**2 + 56*r - 1099","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/6)\/(685\/137)*102\/(-2).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 630 + -630. Let w be (-4)\/14 - 22\/(-28). Which is the nearest to w? (a) -5 (b) 4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36194460?\nAnswer: 2, 3, 5, 719, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 5\/4 of a millisecond?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5416\/5 or 462?\nAnswer: 462","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*k**5 + k**5 + 4*k**5 + (k + 6*k - 4*k)*(-9*k**4 + 59*k - 59*k) + k**5 + 0*k**5 - 4*k**5.\nAnswer: -28*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.96 + -6. Let c = k - -0.54. Let d = 0.5 - 0.1. What is the closest to -0.1 in c, -1, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 + 0*(-2 - -3))\/15. Put 1\/2, a, -0.1, 4 in descending order.\nAnswer: 4, 1\/2, a, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-147)\/(-2) - 24\/(-16) is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 442, 884, 1326?\nAnswer: 1768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -24, -3, -12780.\nAnswer: -12780, -24, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 951 divide 425522097?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 4*u**3 - 82*u + 99*u - 3*u**3 + 13*u**2 + 5*u**2 + 2. Let o be f(-17). Let y = -0.06 - 0.34. Which is the nearest to o? (a) 0.4 (b) y (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 5, -10, 0.1, -0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1556 is divided by 362.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 - -4) + (-2)\/2. Suppose 4*y = -5*m + 15, -5*y = m - g - 2. Let w be 2 + 0 - 24\/9. Which is greater: y or w?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(187) - 3*sqrt(187))\/sqrt(11) - -1*-1*sqrt(17))**2.\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1))**(-28)*r**(-1)*r**5*(r\/r**(1\/3))**(18\/7)\/(r*r**(-2)*r*r**4*r) assuming r is positive.\nAnswer: r**(201\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -7d7 (base 14) in base 2?\nAnswer: -11000011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 8557 divided by -2\nAnswer: -8557\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2629.3907 - -23.\nAnswer: 2652.3907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -243, -237, -227, -213, -195?\n\"Answer: 2*x**2 - 245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fkff when four letters picked without replacement from {d: 2, q: 7, f: 3, x: 1, k: 5}.\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3792252 and 1704.\nAnswer: 852","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*j + 14*j + 352 = 0. Let s = 354 + j. Solve -4*f - s = -4*p + 6, 18 = f + 3*p for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2.1, 1\/5, 8\/125, -3\/7, -1\/2, 0.4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 11*d**3 - 4*d**2 - 4. Let p(f) = 12*f**3 - 5*f**2 - 5. Suppose 0 = 3*r - 4*h + 7, -4*r - 30 = 4*h + h. Calculate r*u(l) + 4*p(l).\nAnswer: -7*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2*x**2 + 5*x - 45. Let d be l(4). Solve 3*j - 13 = z, -4*j + 4*z = d*z - 13 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3119, -7395, -14543, -24569, -37479, -53279, -71975, -93573?\nAnswer: -118079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3646*f - 3646*f + f**2.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 23, 8, -1, -3, -7 in descending order.\nAnswer: 23, 8, 5, -1, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 300138 to the nearest integer?\nAnswer: 548","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-104)\/(-156) + 1\/((-3)\/4). What is the smallest value in d, 4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -213588 divided by 17799.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 4:10 PM?\nAnswer: 5:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 19 - ((-7308)\/224 - -52)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5339 divided by -3574.\nAnswer: 5339\/3574","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5913779 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 36.6 times -0.32\nAnswer: -11.712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -25311781 divided by 121109\nAnswer: -209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 87 - 82. Solve 0 = -h + 1, -5*k - 4 = -f*h + 1 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(8)\/sqrt(4) + sqrt(98) + 1 - -6*sqrt(18)*2.\nAnswer: -1 + 44*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1825, -7 in descending order.\nAnswer: 3, -7, -1825","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21.7 - 36.8. Let t = h - -58. Which is the closest to -1\/4? (a) t (b) 0.2 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*j + 3*w, -j = -4*j - 5*w - 15. Which is smaller: j or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 697578 = 5912422. What is f rounded to the nearest one hundred thousand?\nAnswer: 6600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -605*i = -1307*i - 4914 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/48)\/((-5)\/(-3))*-16*-5.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1110866231 to the nearest integer?\nAnswer: 33330","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, v: 9, p: 1, m: 3, h: 2, i: 2}. What is prob of picking 1 h and 1 v?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 188955288?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -3*o + 909, 4*o + 618 = -b + 3*b. What are the prime factors of b?\nAnswer: 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of -1685*p**4\/24 - 453*p**3 + 68*p**2 - 8. What is the first derivative of l(c) wrt c?\nAnswer: -1685","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 0 - -11 - (-108 + 110).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the third derivative of l**6\/300 + 7*l**5\/75 + 2*l**4\/5 + 34*l**2 + 12*l. Solve r(y) = 0 for y.\nAnswer: -12, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -640*(2 - 8\/20). Is (-2)\/6 + s\/(-12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the first derivative of 8*i**4\/17 - 80*i**3\/51 - 23*i**2\/17 - 6*i\/17 + 10. Determine c so that p(c) = 0.\nAnswer: -1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*0.031.\nAnswer: -0.0155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 35 = -5*i. Suppose 0*r - i = -r. Calculate the remainder when r is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 496*m + 1428*m + 1359*m as o + z*m and give z.\nAnswer: 3283","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -31\/5329905 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (37\/(15096\/306))\/((-4)\/6*(-3258)\/(-32))?\nAnswer: -2\/181","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 108 - 48 = 0. Suppose f + g = 2*f. What are the prime factors of f?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 8*y**3 + 1017*y**2 + 102*y - 2777. Calculate l(-127).\nAnswer: 398","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-5 - 5) - (30 - 27 - 56).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = -4*a - 4, 2*a + 0 = z - 4 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -4*d**3 - 2*d**2 + 4*d - 43. Determine v(-5).\nAnswer: 387","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 424 - 218 + 3*o - 200 + 2*o. Let h = -13 + 18. Let z(r) = 6*r + 7. Give h*s(c) - 4*z(c).\nAnswer: c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1797 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, -2, 0, -334 in descending order.\nAnswer: 0, -2, -20, -334","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3401, 6814, 10227, 13640, 17053, 20466?\nAnswer: 23879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -57 - -119. Let l = j - 62.039. What is l rounded to two dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36327 is divided by 1133?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iby when three letters picked without replacement from biyrv?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**2\/6 + 11270*k\/3 - 112825\/6.\nAnswer: 5*(k - 5)*(k + 4513)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 169 - 154 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 79284.8102 to the nearest 10.\nAnswer: 79280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 6, -42, 10, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*n**2*r**3 - n**2*r - n*r**3 - n + 15569321*r**3 + r**2 - 80395692 wrt r?\nAnswer: -24*n**2 - 6*n + 93415926","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-14)\/(-8) + (-1)\/(-4). Suppose -95*o + 608 - 67 = -884. Suppose 0*u - 63 = -3*u. Solve -p*n - o = 3*n, -3*g = -4*n - u for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + p - 13 = -4*t, 0 = p - 5*t + 5. Let z(q) be the first derivative of 7*q**3\/3 - 5*q**2\/2 + 7*q - 5. Is z(p) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 873, 881, 889?\n\"Answer: 8*u + 865","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of -j**5\/20 - j**4\/12 + j**3\/6 + j**2\/2 - 2*j - 1. Let y(p) be the first derivative of i(p). Determine a so that y(a) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4\/7)\/(1\/7). Suppose -3*d + k + 41 = -o*k, 0 = -3*k + 15. Let r = 36 - d. Calculate the smallest common multiple of r and 18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3889531 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f - 9. Let n be v(6). Let s = -11 - n. Let k(c) = -16*c + 3. Is k(s) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 182171 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 270 and 1782918?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -122 - -112?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of d**4\/2 - d**3\/3 + d**2\/2 - 2*d + 454. Let h(y) = -6*y**3 + 3*y**2 - 3*y + 7. Calculate 7*g(f) + 2*h(f).\nAnswer: 2*f**3 - f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(-21)*(-11)\/143?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3034694 and 260?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -675213282.7000317 + 675213314. Let x = -31.3 + m. Round x to six dps.\nAnswer: -0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 414*r**2*u**2 + 16*r**2*u + 2*r**2 - 17*r*u**2 + 8*r*u - 2508*r - 9*u**2 + 2*u wrt u.\nAnswer: 828*r**2 - 34*r - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 66384 and 905865.\nAnswer: 1383","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1247129 is divided by 54?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 79793\nAnswer: 4\/79793","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 1 - 1)*(0*x + x + x) + 6*x - 28*x - 27*x)*(-2*x**2 - 2*x**2 + x**2).\nAnswer: 141*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 230867 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/96 or 2042?\nAnswer: -1\/96","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 609772 is divided by 4917?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-90 - -99) + 4 + -1?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12021122 (base 3) to base 5.\nAnswer: 110401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**3 + 7050*i**2 + 230472*i.\nAnswer: 2*i*(i + 33)*(i + 3492)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3757 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2708 is divided by 129.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -32406 + 32404. Put -52, b, -5, -1 in increasing order.\nAnswer: -52, -5, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -568, -585, -604, -625, -648?\nAnswer: -673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of 2*v**3 - 3*v**2\/2 - 3*v - 17. Let f(c) = -c**2 + 1. Let x(m) = -35*f(m) - 5*w(m). Factor x(n).\nAnswer: 5*(n - 1)*(n + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 71, 74, 87, 116, 167, 246?\nAnswer: 359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1203732?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -4*n. Suppose -5*r = 5*k - 90, 1 + n = -k. List the prime factors of r.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -4*z**3 - 5*z + 3. Let q(c) = c**2 + c + 1. Let d(n) = 7*n**3 + 2*n**2 + 11*n - 3. Let b(w) = -d(w) + 2*q(w). What is 3*b(y) - 5*p(y)?\nAnswer: -y**3 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 2*n**3 - 3*n**2 + 31*n - 17. What is the units digit of m(9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (570\/(-15))\/(34\/17)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 415 in -40\/7, -3\/8, -3, -2\/11, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3025 and 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - -7. Let h = -3 - -3. Let i(m) = -m**3 - m**2 + 11. Calculate the remainder when i(h) is divided by w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the third derivative of 6*d + 0*d**3 + 49\/120*d**5 + 3*d**2 + 11\/48*d**4 + 29\/192*d**6 - 1\/240*d**7 + 0. Let v(x) = 0. What is x?\nAnswer: -1, -2\/7, 0, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-36)\/7)\/((-174)\/203)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of -v**6 + 6*v**2 - 7. What is the second derivative of n(l) wrt l?\nAnswer: -120*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -2*o**2\/9 - 92*o\/9 - 10 = 0.\nAnswer: -45, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*h + 40 - 4. Suppose 17*n - h = 13. Let r(o) = -7*o - 1 - 5*o + 0. Calculate r(n).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 1:44 PM?\nAnswer: 1:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4 and 876440.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 t when three letters picked without replacement from tqxmtqxktmxt?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2049918*d - 273 = 2049897*d for d.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -0*z + z - r, -5*z + 102 = -r. Let y(a) = 6*a**2. Let o(s) = s**2. Let x(l) = z*o(l) - 4*y(l). Let g(c) = -5*c. Give g(x(f)).\nAnswer: 15*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*h + 2*o = -18*h + 3811, 9*h + 6852 = o. What is the fifth smallest value in -0.3, -1, h, -2, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/3 (b) 5 (c) 3 (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 - 3*w + 4. Let d be y(-4). Let s(v) = v**2 + 32. Let o be s(d). Suppose -3*p + 7*p - o = 0. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25 + 1 - 55*z - 6 - 8 - 9.\nAnswer: -55*z + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - -1 - (8 + 13 - 15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 177 - 263 = -887*r + 888*r for r.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of y**3*z**2 + 5941*y**3 - 16*y**2*z - 4372*y*z**2 + 8*y*z wrt y?\nAnswer: 6*y*z**2 + 35646*y - 32*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**10*i\/(i**(2\/39)*i))**5)**(-44) assuming i is positive.\nAnswer: i**(-85360\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 2 - 2)*(-2 - 8*y + 3*y + 1) + 4*y - 2*y + 3*y + 2*y + 2*y - 2*y to the form c + m*y and give m.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -45*a*d*o**3 + 2616181*a*d*o - 2*d*o**3 + 219*d*o**2 + 2902*d*o - 2*o**2 - 2*o wrt a.\nAnswer: -45*d*o**3 + 2616181*d*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-1016)\/(-2159)*238\/4\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*c**4*d**3 + 1491*c**4*d - 16*c*d**3 + 6*c*d - 4*d**3 - 2*d wrt c.\nAnswer: -48*c**2*d**3 + 17892*c**2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3 + 1*-2)\/1. Let f = h - 4. Let w = f - -8. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the third derivative of 2*w**7\/105 - w**5\/60 - w**3\/3 - 6*w**2. Let p(r) be the first derivative of l(r). Find the second derivative of p(o) wrt o.\nAnswer: 96*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7 and 1310351.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5329850 take away 1?\nAnswer: -5329851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2*u**2 - 6*u + 14. Let n be q(-6). Suppose -n = -l + 5*g, 0 = l - 0*g - 3*g - 124. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 344612 and 808.\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 divided by 228.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/10 - 1851\/(-15). Let m be (r\/(-4))\/(6\/(-16)). Suppose 0*x + x - 3 = 0, 5*v = x + m. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 74\/26 - (-16)\/104. Let q(d) = -d**3 + 2*d**2 + 5*d - 3. What is the units digit of q(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 17 = -l. Suppose s = m + l, 5*m - 4*m - 30 = -2*s. Suppose 38 + 137 = 5*r. What is the remainder when r is divided by s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -22*x**2 + 1. Let f be t(-1). Let m = 47 + f. Let s = m + -13. List the prime factors of s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4 - -10*(-3)\/(-6). Let u be k\/(-5)*(-80)\/12. Let c = 43 - u. Calculate the highest common divisor of c and 124.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 79 and 1027.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 2 = -3*r, -5*c + 19 = 6*r + 18 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 - 5*k**2 - 9*k - 10. Suppose 0 = -3*j + 7*j - 28. Let c be y(j). Calculate the greatest common factor of c and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -631 times 0.06\nAnswer: -37.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2\/(-3))\/((-32)\/(-108)))\/(-3).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3.2 (b) -20 (c) 13586\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -2*p + 156, 0 = -k - 788*p + 786*p + 78. Solve 88*v - k*v = -20 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of -1537*a**7\/210 - 2083*a**3\/6 + 2210*a**2. What is the first derivative of b(s) wrt s?\nAnswer: -6148*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (22\/(-18) + 1)\/(3 - 112\/48). Let p = -0.2 + -0.3. What is the closest to m in -2, p, 5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand l**5 - 4*l**5 + l**5 + (2 + 3 - 4)*(-2*l**3 + 2*l**3 + l**5) + (-l**2 + l**2 - 2*l**3)*(-2*l + 3*l - 2*l)*(-166*l - 62*l + 37*l).\nAnswer: -383*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand o**3 - 3*o**2 + 2*o**2 + 0*o**3 - 47*o**3 + 40*o**3 + 30*o**3 + (-o + 2*o**2 + o)*(o + 2*o - o) - 3*o**3 + o**3 + 4*o**3 - 2 - 2*o**3 + 2.\nAnswer: 28*o**3 - o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*-6*2*sqrt(171))\/(2*sqrt(144)*5 + sqrt(144) + sqrt(144)))**2.\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + 13. What is the remainder when 46 is divided by i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 349944 by 24996.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**5 - 10*p**4 + 10*p**2 - 5*p.\nAnswer: 5*p*(p - 1)**3*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/2870364 and 89\/29660428?\nAnswer: 88981284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.7 - 9.3. Let v(k) = 14*k + 134. Let p be v(-9). Suppose -2*r + 3 + p = n, -3*r = -4*n + 11. Put 2\/7, r, y in ascending order.\nAnswer: y, 2\/7, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4570367 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (10046584\/40)\/(146\/(-10) - -2). Let c = 19933 + v. Calculate the common denominator of -16\/35 and c.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-825)\/(-5) - -6) + -1*3. Suppose -2*n - 4*n = -a. What are the prime factors of n?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 2*t + 2. Let d = -112 - -113. Let p be h(d). Calculate the highest common divisor of 64 and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in twenty-nine fifths of a kilometer?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (974\/(-4))\/((-5)\/10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 263 or 261?\nAnswer: 263","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.824, 5, 2\/5, -75, -0.22?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3.424 + -0.124. Let r = 3.300135 - c. What is r rounded to five dps?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 84 - 48. Let n be (-5)\/25 - u\/(-5). Let m = n - -4. What are the prime factors of m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2329 + -2327. Put 0.2, j, -329 in ascending order.\nAnswer: -329, 0.2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-46)\/23)\/((-5)\/20)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37613795?\nAnswer: 5, 7522759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54 = -70*h + 61*h for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11\/(22\/9))\/(3\/4).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3377.1 - -3377. What is the third smallest value in -1\/3, -1\/7, -0.3, l, -6\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 10) to base 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.09, -5, -27\/5, -6 in increasing order.\nAnswer: -6, -27\/5, -5, -0.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/8 - ((-3)\/(-2) - 2)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7744 + 15506 + l - 7762.\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of n**3\/3 + 29*n**2\/2 + 201*n + 12786. Calculate v(-18).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x**3\/6 + 5176*x**2\/3 + 8765935*x\/2 - 427382421 = 0. What is x?\nAnswer: -5223, 94","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1136000474 + 0.1136. Round p to seven dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(128)*2 + sqrt(128)) + 1 + sqrt(128) + -5)**2.\nAnswer: -448*sqrt(2) + 6288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-28)\/5 - -5)\/(-6)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -147*c + 10. Calculate the remainder when h(-1) is divided by 40.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 595613 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 - 10. List the prime factors of (-76)\/1*r\/(-2).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 49 and 36799.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -32 or 0.05409?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2265 (base 7) to base 2.\nAnswer: -1100111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y. Let j(t) be the first derivative of 3*t**2\/2 - 264*t + 985. Calculate n(j(z)).\nAnswer: -3*z + 264","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zpmbz. Give prob of picking 2 m and 1 b.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 5*v**3 + 3*v**2 + 23*v - 27. Determine j(5).\nAnswer: 788","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 532*b + 2590*b + 2526*b + 1359*b to p + s*b and give s.\nAnswer: 7007","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2 - 1. Let f(o) = -5*o + 24 + 4*o + 1 + 5*o. Let g be f(-6). Let r(i) = 0 + 5 + i**2 - 4*i**2 + i. Give g*r(s) + 4*j(s).\nAnswer: s**2 + s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12270 and 180.\nAnswer: 73620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2506 and 14343091?\nAnswer: 1253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -717581456 divided by -1?\nAnswer: 717581456","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/49844729, -0.5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*d**3*j*s**2 + 2*d**3*j*s + 2*d**3*j + 14*d**2*s + 39*d*j*s**2 + s wrt s?\nAnswer: 6*d**3*j + 78*d*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4323 by 155.\nAnswer: -4323\/155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -134 or 24222?\nAnswer: 24222","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12721310 to the nearest integer?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 0 + 4)*(2*g - g + 3*g)*(-119*g - 88 + 185 - 97) to y*g + j + n*g**2 and give n.\nAnswer: -2380","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c*c\/(((c*c**(-2\/5))\/c)\/c)*c)\/c)**(22\/5))**16\/(c**(-4)*c*c**4)**(-46) assuming c is positive.\nAnswer: c**(8894\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 108551*w**2 + 1613*w**2 - 4677*w**2.\nAnswer: 105487*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (27*(-16)\/1008*7)\/(6\/(-32))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*u**5 - 2185*u**4 + 755*u**3 + 3645*u**2 - 740*u - 1460 = 0.\nAnswer: -146, -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-14) + 155\/175?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -2\/7 (c) 15 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -v**4 + 382*v**3 + 40*v**2 - 62780*v + 2 wrt v?\nAnswer: -12*v**2 + 2292*v + 80","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 625 and 2875?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 55 and 105.\nAnswer: 1155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3.5022 and -2.2.\nAnswer: -7.70484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 105 = -2*a. Is a a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + n + 10 = 6*n, 4*p + 3*n - 6 = 0. Suppose 2 = 2*i - p. What is the closest to -1 in 0.5, 2\/11, i?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.056*6.14.\nAnswer: 0.34384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 50 in 353, 18\/37, -4?\nAnswer: 18\/37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 40679001 to the nearest integer?\nAnswer: 344","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cngng. Give prob of sequence nncg.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 201774.\nAnswer: 2, 3, 33629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 4 = u, 3*x - 2*u = -7 - 1 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1816*w**2 - 405872 + 405872.\nAnswer: -1816*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**2 + 5*w - 30. Give z(6).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7.7 + -7.3. Let h be (7 + -4 + -5)\/(-1). Sort -2\/13, z, h, -2.\nAnswer: -2, -2\/13, z, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 37655901?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = 4*b + 2 - 9, 23 = -53*a + 49*a + b for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43023805.\nAnswer: 5, 11, 782251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Express -24*t + 69*t**3 + 24*t + (-2*t + 2*t + t)*(-2 + 2 + t**2) + 2*t**3 + 0 + 0 as h*t + q + u*t**2 + r*t**3 and give r.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -2*m**2 - 3*m + 3. Let x(k) = -2*k**2 - 4*k + 4. Let s(f) = -4*u(f) + 3*x(f). Let c(q) be the first derivative of -5*q**2 - 1. Determine c(s(h)).\nAnswer: -20*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 420273787 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 1327842 and 39618?\nAnswer: 1278","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2108025 divided by 405\nAnswer: 5205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(77)*2*1)\/((sqrt(7) - sqrt(49)\/sqrt(28))*-1).\nAnswer: -16*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -667, 3, 2\/1171?\nAnswer: -667","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 - 10*o**2 - 10*o + 46. Determine u(11).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2114280691 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n + 451. List the prime factors of r(8).\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/(n**5\/n)*n*n**(-17) assuming n is positive.\nAnswer: n**(-19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*p - 131238 = -144138. Suppose 3*i - 5 = 49. What is the remainder when p is divided by i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-28)\/560*-30)\/((-30)\/8).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3 and 2525.\nAnswer: 7575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + 14301011420?\nAnswer: 14301011412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -s - 2*t - 9, 25 = -27*s + 22*s - 5*t for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2158062*u**2 + 48*u. Let b(n) = -n. Determine q(b(l)).\nAnswer: 2158062*l**2 - 48*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6839730 and 90?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 4*f = -7, 487528*f - 487526*f = 8 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.9 - 5.9. Let f = 244.036 + -0.036. Let n = -245 + f. Which is the closest to n? (a) -3 (b) r (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-19 + 13)*(-26)\/6. What is the highest common factor of 13 and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -3 (b) -0.4 (c) 3 (d) 0.37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bf when two letters picked without replacement from yyaybayfyaaayaaae.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/375 and 89\/450?\nAnswer: 2250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -16008, -16001, -15980, -15945?\n\"Answer: 7*s**2 - 14*s - 16001","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -793 + 1380. What is the hundreds digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 125 = -5*m, -8*m - r + 3050 = 3268 for m.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -4, 3\/7, 340, -2\/19?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 65\/(7540\/3306)*-2.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 26 and 10543?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 33712424 and 282.\nAnswer: 33712706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 162303530201 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 8224449 to the power of 1\/4, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -6144.749 and 6699?\nAnswer: 12843.749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2858, -2860, -2862, -2864, -2866, -2868?\n\"Answer: -2*o - 2856","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 6108.8 (b) 0.4 (c) 4 (d) -39\/2 (e) 2 (f) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.7 rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1281, -4962, -11103, -19710, -30789, -44346, -60387?\n\"Answer: -g**3 - 1224*g**2 - 2*g - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/(a*a\/(a\/a**(-15))))*a\/(a\/(a\/a**21)))\/(a*a\/(a*a**11)*(a**(10\/3)*a)\/a*a) assuming a is positive.\nAnswer: a**(-85\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0.7, -245 in decreasing order.\nAnswer: 5, 0.7, -245","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 210014 (base 5) in base 7?\nAnswer: 26033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -28*l**2*t**3 + l**2*t**2 + 27*l**2*t + 3*l*t**2 - 3*l*t wrt t.\nAnswer: -168*l**2*t + 2*l**2 + 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2427 * 0.2\nAnswer: -485.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 - 4. Let r be o(7). Find the common denominator of (5\/(60\/8))\/(20\/14) and (-51)\/r*(-60)\/(-10).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -917 - -918. Solve 2*w - j = 5 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 0.8135485 minutes?\nAnswer: 48812910","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2953 is divided by 724?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 8*x - 11*x = -210 for x.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.22 and -14 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8731 = 3*s + 1339. Suppose 3*t + 8*g = 3*g + s, -2*g + 823 = t. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 7*t + 20. Determine q(-5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v**3 - 2*v**3 + v**3)*(-3*v + 4*v + v) - 5*v**4 + 0*v**4 + 3*v**4.\nAnswer: -4*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from iqiiq?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*60.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/(-1))\/(-3 - -2). Let o be 0\/(0 - j - -1). List the prime factors of (2 - (1 + o))*13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -14*q - 5. Let i be a(-1). Suppose 0 = -0*p + 4*p - 16. Suppose -p*w + i*w = 0. What is the closest to 0 in -2\/13, 0.1, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, -2, 99 in decreasing order.\nAnswer: 99, 3, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 - 28*x + 205. Calculate u(15).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 908, 1657, 2370, 3029, 3616, 4113, 4502, 4765?\nAnswer: 4884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 54 and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mlllmmmmlmmlmmlmmmm. Give prob of picking 2 m.\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 197*i - 334*i + 3354582 = 0. Does 154 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 215647 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 11*c. Let h(k) = 7*k - 48. Determine v(h(w)).\nAnswer: 77*w - 528","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 + g**2 - 5. Let x = -761 - -757. What is n(x)?\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a centimeter in millimeters?\nAnswer: 84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4761\/(-26910) + (-4)\/104*(-2)\/1. What is the fourth smallest value in 6, a, -4\/5, -2?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 - -2.4. Let h = a + 1.59974. What is h rounded to four dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 86 and 6452.\nAnswer: 277436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3)\/(6\/(-4)))\/15. Let z = 2\/669 + 424\/7359. What is the second biggest value in -1\/2, y, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-c**2 + 3 - 3)*(5 - 1 - 2) + 4*c**2 - c + c)*(20 + 15*c - 20) as n*c + h*c**2 + o + a*c**3 and give a.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1203120 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -44 - 1817694\/(-40257) - (680\/56 + -11)\nAnswer: 2\/213","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 7738, 7956, 8174, 8392?\n\"Answer: 218*l + 7520","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7\/3 of a hour?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 54846007 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 PM and 2:13 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of r**3\/6 - 3950*r. Let i(y) = 312*y. Determine g(i(a)).\nAnswer: 312*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1064? (a) -19\/3 (b) -19 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4481 = 91*k + 3935 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 64011 - 18925. List the prime factors of m.\nAnswer: 2, 22543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 4860576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1687 + -1679.99. Let u = p - 3.01. Which is the second smallest value? (a) u (b) -2\/5 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -2*q + b, 0 = 4*b. Suppose -3*a + q - 12 = 0. What are the prime factors of -2 + 1 - -2 - a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*y**2 + 10*y**2 - 26*y + 4*y**3 - 12*y - 5*y**3 - 12*y as c*y**2 + m*y**3 + d + r*y and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 31*d**4 + 1100*d**3 - 39806*d wrt d?\nAnswer: 372*d**2 + 6600*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 95 + -7?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 38875?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 875319 times -5\nAnswer: -4376595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add 2.3 and 608.\nAnswer: 610.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-22)\/(-4) - (-13)\/(-26). Suppose -24 = -f*t + 56. Let h = t - 5. What are the prime factors of h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5995 divided by -55?\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -183 - -167 - (-9 + -1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -101672, -101834, -102274, -103130, -104540, -106642, -109574, -113474?\nAnswer: -118480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 25\/275412 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 + 38*i**2 + 163*i - 85. Calculate t(-33).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r + 45. What is the remainder when x(-15) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -660 - -663. Is g + 7*(25090\/35 - 0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0*(-5 + 6) + (-2 - -5). Suppose x*w - 2*r = 2397, 4*r - 66 = -w + 719. What are the prime factors of w?\nAnswer: 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 + l**2 - l - 1. Let j(z) = -3*z**4 + 3*z**3 - 6*z + 6. Let r(n) = j(n) - 18*k(n). Factor r(y).\nAnswer: -3*(y - 1)*(y + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 35 and 305?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 4*l = -3*h + 102, 0 = 3*h + 4*l - 203. Let g = 60 + h. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 163 - 158. Solve p + j*x = 4*p - 37, -15 = 3*x for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/623964 and 17\/6168.\nAnswer: 320717496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -3 + 2*q - q**2 - 5*q + 0*q**2 + 1. Let v be 14\/6 - (-1)\/(-3). Suppose -x + 18 = 4*i, -v*i - 4 = -3*x - 4*i. What is y(x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wbbmk. Give prob of picking 2 b.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -336511.3+7.7\nAnswer: -336503.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 307093 (base 12) to base 4.\nAnswer: 2321032233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -506*n**5 + 475*n**5 - 21*n + 6*n wrt n.\nAnswer: -620*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 2 = -11. Suppose 2 = -v + r. Let o(h) = -186*h - 4466. Let y be o(-24). What is the closest to 0.2 in 0.2, y, v?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01671 rounded to three decimal places?\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -209738\/9 - -69916\/3. Determine p so that 0 - 4*p + 2\/9*p**5 + 2\/9*p**3 + 14\/3*p**2 - o*p**4 = 0.\nAnswer: -2, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 8:20 PM?\nAnswer: 9:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a week in minutes?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - 65?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*o - 23*o = -30. Let i(c) = -c**3 + 17*c**2 + c - 11. Let y be i(17). Solve o = -z + y for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3\/99)\/((-25)\/10). Let c = w - 2858\/165. Find the common denominator of -76\/3 and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -90, -140, -150, -114, -26?\n\"Answer: q**3 + 14*q**2 - 99*q - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -90567, -1, -0.3 in decreasing order.\nAnswer: 0, -0.3, -1, -90567","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and -3602.\nAnswer: 3602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 - (11 - (25 + -3)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l - 1. Let d(n) = -3*n**2 - 9*n + 11. Calculate -2*d(j) - 22*s(j).\nAnswer: 6*j**2 - 4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 379365 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1068758 (base 11) to base 12\nAnswer: -762899","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4077150 rounded to the nearest 100000?\nAnswer: 4100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1520 is divided by 1423.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 130622633 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -2*r + 6. Suppose 5*y - 2*t = 0, -4*y + 3*t = -r*t. Suppose 4*q - 97 = -j + 12, -2*q - 5*j + 41 = y. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*p - 1 - 51, -94 = -723*a + 725*a - 4*p for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1736 and ((-34)\/68)\/(-5 + (-15395)\/(-3080))?\nAnswer: 19096","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 605 = v, 5*v + 2*c - 4209 = -1152. Let o = v + 293. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5553 a factor of 229227840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-5) + 48\/(-80). Let n = 127\/245 + 4\/49. Let r = n - -9\/10. What is the nearest to 2\/5 in 2\/9, i, r?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9114 - 476.3.\nAnswer: 8637.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 16*q**2. Let u be 1\/1*(24 + -19). Let d(h) = -2*h**2 - 7*h**2 + 18*h**2 - u*h**2. Give i(d(f)).\nAnswer: 256*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1246342846, 1246342844, 1246342842, 1246342840, 1246342838?\nAnswer: 1246342836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.160190138 and 1.1.\nAnswer: 1.260190138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 - 6)*(-6)\/(-4). Let f = 12 + l. What is the least common multiple of f and 7?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((0\/(-2))\/(-1))\/(4\/4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 135 divide 1349325?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (10\/4)\/(1\/6). Let u be -8649412 + (69\/(-15) - o\/(-25)). Let c = -4869416 - u. What is c rounded to the nearest one hundred thousand?\nAnswer: 3800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of f**5\/35 + 19*f**4\/21 - 26*f**3\/21 + 58*f**2. Factor t(h).\nAnswer: 4*(h + 13)*(3*h - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -3*y - 5. Let x be j(-4). Let d(h) = h**2 - 9*h + 2. Let m = 13 + -4. Let g be d(m). Solve g*l = x - 3 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 + 9*r + 2. Suppose 31 = 3*q + 13. Let i(o) = o**2 - 5*o + 3. Let z be i(q). Let f be g(z). Solve 8 = -f*y - 2*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s**5 - 182*s**4 - 942*s**3 - 1714*s**2 - 1340*s - 384 = 0 for s.\nAnswer: -2, -1, 96","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19 + 47. Suppose -2*v - 3*z + 91 = -2*z, -z - 185 = -4*v. Let d = n - v. Solve d = 4*y + 4 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40893 to the power of 1\/2, to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of u**4 + 90*u**2 + 3*u - 4.\nAnswer: 12*u**2 + 180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(228)*3)\/(-2*sqrt(12)*-1).\nAnswer: -9*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 380338680?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2327692, 1\/6, -2\/5 in descending order.\nAnswer: 2327692, 1\/6, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 890 - 1772 + 1873*c + 882.\nAnswer: 1873*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-510)\/(-210) + (-3)\/7. Solve -3*t = 4*i + 17, -8 - 2 = u*t + 2*i for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u**3 + 22 - 4*u**3 - 22 - 11072*u**2 + 11072*u**2.\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*r - 38*r + 25*r.\nAnswer: 11*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 20127118 < 20127117?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 + v**4 - 13*v**3 + 2*v**2 - 5*v**4 - 4*v - 2*v**4 + 15*v**3 as r*v + z*v**2 + w*v**4 + g*v**3 + a and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/501 and -173\/30?\nAnswer: 5010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + (-5 - (2 - 3 - -2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 602 = -50. Let h = 140 - w. Solve 3*c - 1 = h for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-32)\/(640\/150))\/(105\/294)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8207409350.99999746 + -8207409146. Let s = d + -205. What is s rounded to seven dps?\nAnswer: -0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -338 - -340. Find the first derivative of -76 - 40 - 24*t**3 + j wrt t.\nAnswer: -72*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 554*j - 81 = 285*j + 310*j - 204. Find z such that 96\/5*z**2 + 0*z**4 + 0 - 3\/5*z**5 + 54\/5*z**j + 9*z = 0.\nAnswer: -3, -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 256 - 4354\/17. Which is the closest to -0.3? (a) 2.5 (b) 18 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1152 is divided by 69.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1 and 118291938861443.\nAnswer: 118291938861442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-11)\/(-3) - 1\/(-3). Let q be (-16)\/(-6)*(-1 + v). Differentiate -8*r + q*r + 1 - r**4 with respect to r.\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b1242 + 14?\nAnswer: b1256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11662612 (base 9) to base 14.\nAnswer: -a88cad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c. Let d(t) = t - 1. Let x(p) = p**2 + 4*p - 4. Let u(v) = 12*d(v) - 3*x(v). Determine i(u(g)).\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 6, o: 1, j: 2, v: 4, y: 2}. What is prob of picking 1 n, 1 o, and 1 y?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15*l**3 - 1950*l**2 + 708426*l?\nAnswer: 90*l - 3900","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 821315 and 34935?\nAnswer: 685","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5292, 5282, 5268, 5250, 5228, 5202, 5172?\nAnswer: 5138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -33726 - -117644. Let s = g - 317918. Round s to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 + 3*y**2 - 4*y + 5. Suppose -41 = 4*o - 1. Let d = 6 + o. Is s(d) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of -u**4\/3 + u**3\/3 - 24*u**2 + 2. What is l(1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7 or 437?\nAnswer: 437","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 51*y**3\/7 + 28087*y**2\/7 + 53672*y - 15036 = 0.\nAnswer: -537, -14, 14\/51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -2*m**3 + 14*m**2 + 17*m - 4. Let a be f(8). What is the greatest common factor of 52 and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of k**6\/5 + 2*k**4 - 29*k. What is the third derivative of g(h) wrt h?\nAnswer: 144*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 645.1392 micrograms?\nAnswer: 0.0000000006451392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 107996 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -130322012323 (base 4) to base 12\nAnswer: -2655537","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -10 + acb85?\nAnswer: acb75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1088) - -4*(sqrt(1088) - 1*sqrt(1088)) - sqrt(1088)) + 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 2*l - 2. Let c be m(3). Let q = -5 + 3. What is the nearest to -2 in q, c, 2\/7?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the third derivative of 7\/60*a**5 + 0 - 5\/3*a**3 - 9*a**2 - 1\/12*a**4 + 1\/120*a**6 + 0*a. What is h(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1217998 or -3?\nAnswer: 1217998","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 4, c: 1, b: 3, z: 3}. Give prob of sequence zqbb.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15 + 11. Suppose -1 + 6 = -y. Which is the biggest value? (a) -1 (b) d (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*f - 12756*f**3 + 6*f**2 + 6*f**2 + 12694*f**3 to s + z*f**3 + k*f**2 + v*f and give z.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three tenths of a millennium?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 - 44*c**2 + 636*c + 1717. Give b(-55).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*y + 103*y = 54*y + 2055 for y.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 3\/(-1) - 123872\/(-10) - (-129)\/(-645)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/5 - 6939\/15. Let s = f + 307. Is (s\/(-10)*-2)\/(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 47 - 51. Let d(r) = -5*r**3 + 4. Let p(g) = -4*g**3 - g**2 + 3. Determine x*p(n) + 3*d(n).\nAnswer: n**3 + 4*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 64\/(-32) - (1 + 1 + -6). Sort u, 0, -5, 7 in increasing order.\nAnswer: -5, 0, u, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 + 7*y**2 + y - 7. What is the tens digit of s(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*k - 198 = -2*k. Is (-525)\/154*-46 - 4\/k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1012523146*j**5 + 59723620598*j**4 + 114528259212*j**3 - 1733417744*j**2 + 8714816*j - 14592 = 0. What is j?\nAnswer: -57, -2, 4\/797","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6557.\nAnswer: 79, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-10 - -11) + -30 + 35\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in fourty-five halves of a minute?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 419*v**2 - 7*v - 6. Let u be -3 - (6 - 7)*2. What is the hundreds digit of f(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 240 and 336?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of -p**5\/60 - p**4\/3 - p**3\/3 - 3*p**2\/2 + 11*p. Let t(a) be the first derivative of j(a). Give t(-9).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23025697 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -2*c**2 + 4*c - 2. Let k be 1\/((10\/25)\/(18\/15)). Give h(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 16*f - 5. Is b(8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 132592, 265167, 397742?\nAnswer: 530317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -670*f + 31250 = 10480 for f.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*w + 5*w - 21*w**3 + 8*w.\nAnswer: -21*w**3 + 10*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 + (-8)\/(-4))\/2. Let y = 1 + i. Solve y + 3 = -3*j - t, 4*t = -5*j - 13 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -4*x**2 + 3*x + 2. Suppose -7 + 1 = 3*j. Let v(c) = -21*c**2 + 16*c + 11. Let g(b) = j*v(b) + 11*z(b). Find the second derivative of g(n) wrt n.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 444 = -448. Factor 1 - b**h + 15\/4*b.\nAnswer: -(b - 4)*(4*b + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, 11, 0, -1, 4, -53 in descending order.\nAnswer: 11, 4, 0, -1, -2, -5, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**2 + 13*b - 1. Let a be -3 + ((-26)\/(-8))\/((-2)\/(-8)). Does 4 divide p(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3342257 + -6892257. What is d rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/130104 and -143\/20016?\nAnswer: 260208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -633, -683, -767, -885, -1037, -1223, -1443?\n\"Answer: -17*b**2 + b - 617","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = -12, -4*w + 2*f + 157 - 133 = 0 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15 and 306.\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 573951071 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*j - 29*j = -56 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -6.3 and -2.07?\nAnswer: 4.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -999 + 982 - (2 - 29)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/7*12068\/37928*-4*21?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 25 = -4. Suppose 5*y - 17 = 13. Suppose 0 = -f - o + y. Which is the third biggest value? (a) f (b) 1\/3 (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2011751 + 226?\nAnswer: -2011523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-30)\/21)\/10*4?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26 - 25.04. Let s = -0.04 - h. Let k = -1748\/9 - -194. What is the biggest value in s, 2, k?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21126 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 136*v - 12. Let d be a(-3). What is d rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 - -37)\/((-21)\/140). Is (12\/8)\/((-6)\/i) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 29 - 13. Suppose 2 = p*d - 2*d. Let a(l) = 6*l**2 - 2*l + 1. Give a(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 3*a + 102, a + 3*a + 136 = -4*q. Let v = 268 + a. What is the highest common divisor of v and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/705 and 62\/13055.\nAnswer: 1840755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 + 65*d**2 + 250*d + 336. Calculate n(-61).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b853 + -12bb?\nAnswer: -10b52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 88 and 1264208.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uq when two letters picked without replacement from {u: 2, q: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -772, -1529, -2286, -3043, -3800?\nAnswer: -4557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 541973164?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-2\/9)*w**(-2\/7))\/((w\/(w*w**(-4)\/w*w))\/(w\/(w**(1\/2)\/w)*w)))**(-1\/7))**(-20) assuming w is positive.\nAnswer: w**(-2530\/441)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide (0 - -4030)\/((-6)\/(-48))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2400 + 56*c - 2478 - 2522 + 7525)*(1 + 0 + 0).\nAnswer: 56*c + 125","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes before 11:23 AM?\nAnswer: 6:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-1\/5)*t)**(-10)*(t*t**(-20)*t)\/(t\/(t\/(t\/(t**(-15)*t)))*t) assuming t is positive.\nAnswer: t**(-52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)*-2*-1 - (-2*sqrt(76)*1 - sqrt(76)))\/((sqrt(64) + sqrt(4))*6 + sqrt(4) - -4*sqrt(4)*2).\nAnswer: 5*sqrt(19)\/39","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of 119*g**6\/3 + 178*g**3 + 114. Find the third derivative of r(f) wrt f.\nAnswer: 14280*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -56.84 + -12.86. Let y = 68 + a. Round y to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 272 - 408. Let p = 139 + d. Solve -4*o + 7 = t, -p*t - t + o = 6 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1975, 4001, 6027, 8053?\n\"Answer: 2026*q - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/15 of a millennium in months?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -30509 + 30828. Suppose -l + 128 = l. What is the remainder when y is divided by l?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 4*u + 13 = 3*b, -b + 5*u + 14 = 0. Round b to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 - 26*n**2 + 27*n - 16. What is s(-27)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -10 (b) 3 (c) -5 (d) 36 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 - 17*d**2 - 17*d - 14. Let n be z(-16). Let t be n\/11 - -1*(-102)\/198. Which is the closest to -0.2? (a) 3\/10 (b) t (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x - 1. Let h(w) = 4*w - 6. Let j(o) = -12*c(o) + 2*h(o). Suppose 1 = 3*p - 8. Let n(a) = 3*a**2 - 2*a**2 - 5*a**2 + p*a**2. What is j(n(g))?\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.4734091 - 1.9.\nAnswer: 0.5734091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 208\/56 - (-8)\/(-2)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 - 9. Let q(i) = -i**3 + 4*i**2 + 6*i - 7. Let f be q(v). Let w be f\/4*0\/(-1). Solve 0 = -w*a - 5*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-18)*(-18)\/(-288)*252?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/11, 8, 1.2156 in decreasing order.\nAnswer: 8, 1.2156, 3\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -13*o + 6. Determine n(-4).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = 5*u + 80. Let p be (2\/10)\/((-4)\/u). Let d = -0.021 - 0.979. Which is the closest to p? (a) d (b) 4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-117)\/39)\/((-6)\/28). Solve 2*r + 2*r = -k - y, 3*r + k = -11 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6 + -8)\/((-4)\/(-6)). Calculate the remainder when 145 is divided by ((-1)\/q)\/(2\/222).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 3*q - 5 - 70, 47 = 2*q - 5*c. Let h = -61 + 172. What is the remainder when h is divided by q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 234 + -5047?\nAnswer: -4713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000011606543 rounded to seven dps?\nAnswer: -0.0000116","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 40550 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -1589000 to the nearest one hundred thousand.\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 48 + -49.2. Let w = 2.2 + p. What is the nearest to w in -0.4, 1\/2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, s: 14}. Give prob of picking 4 s.\nAnswer: 11\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(26) - sqrt(104) - sqrt(26)) + sqrt(26))\/sqrt(2).\nAnswer: 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 - a. Let g(b) = 2*b**2 + 4*b - 7. Let u(i) = g(i) + j(i). What is u(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 92441, 92423, 92405, 92387?\nAnswer: 92369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3 - 10*q**2 + 9*q + 5*q**2.\nAnswer: -5*q**2 + 9*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of -75*g**8\/56 + g**4\/6 - 17*g**3\/3 + g + 25. What is the third derivative of q(l) wrt l?\nAnswer: -9000*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*h - 0*h. Suppose -q = 4*s - 6, -4*q + 6*q = -s + 5. Put s, h, -1 in increasing order.\nAnswer: -1, s, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -4*l**3 + 2*l**2 - 3*l. Suppose -3*a - 59 = -2*f + 7, -f = -5*a - 47. Let q = 25 - f. What is the tens digit of j(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -6, 4, 7, 56\/5, 2, 5\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 12, -1, 3 in decreasing order.\nAnswer: 12, 3, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -38*r + 34*r + 33*r in the form s + p*r and give p.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 3*j + 4552 = 4575, 2*k + j = k + 4 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.46411885 to two decimal places.\nAnswer: -3.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of 0*q**2 + 4\/3*q**3 + 7*q + 4. Find the first derivative of x(w) wrt w.\nAnswer: 8*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 16*x. Let m(j) = 3*j**2 - 7*j + 7. Let b(a) = a**2 - 2*a + 2. Let k(i) = -7*b(i) + 2*m(i). Give c(k(v)).\nAnswer: -16*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = x + 49, 2*n + 2*x - 60 + 50 = 0. Which is the nearest to -0.2? (a) 0.019 (b) n (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 3 = -18. Let g(h) = 2*h**2 - 2*h - 2. Let k be g(2). Let i(m) = a*m - m + m**k - 2*m. Let j(u) = -u. Calculate i(j(o)).\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.8 times -0.61\nAnswer: 0.488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/1 + 1 - -4. Solve -w*u - 1 = 3 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2058408 (b) -1 (c) -6\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*q - 6*q + 11*q + 3*q to the form o + b*q and give b.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*z**6 + 14537*z**3 + 1215*z**2 + 96 wrt z?\nAnswer: 480*z**3 + 87222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1287, -1241, -1169, -1071, -947, -797?\nAnswer: -621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*0\/(1 + 0). Suppose 0 = -4*u + 3*r + 8, 5*r + q = -4*u + 8. Let t(j) = j**3 - j - 1. What is the units digit of t(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 4785 = 3*f, -3*c - 5*f = -f - 2860. Suppose 14*p - c = 10*p. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -3*k**2 - 22*k + 13. Let f be j(-8). Let x = -0.05 + 0.08. Which is the third smallest value? (a) 4 (b) x (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*n**2 + 13*n**2 + 30*n**3 - 8*n**3.\nAnswer: 22*n**3 - 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 30359768 to the nearest integer?\nAnswer: 5510","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 224 in -4, -12, 4, 0, -0.13?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2, 11, 36, 73, 122, 183?\n\"Answer: 6*p**2 - 5*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 33530 and 1421672?\nAnswer: 7108360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7602 is divided by 54?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the third derivative of -b**6\/120 + 7*b**5\/20 - b**3\/2 + 2*b**2. Let r be a(9). Let p = -441 - r. Round p to the nearest one hundred.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 42\/(-35)*35\/(-21). What is the closest to -32 in s, 6, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -7713, -10373, -14807, -21015?\n\"Answer: -887*b**2 + b - 6827","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 71274*z + 2565868. Give p(-36).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 22*(225\/(-10))\/(-9). Suppose 0*j - h = 5*j. Let n be 2\/(((-22)\/8)\/j). Let f(x) = -x**2 + 8*x + 7. Determine f(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 4 = -4*h, 4*p + 106*h - 101*h + 5 = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1 or 0.146?\nAnswer: 0.146","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 32362686, 64725375, 97088064, 129450753?\n\"Answer: 32362689*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(152)\/sqrt(16))\/(sqrt(22)\/sqrt(99)).\nAnswer: -3*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14 + 14.2. Which is the second biggest value? (a) 1 (b) r (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12189*f**4 + 6606*f + 4 wrt f.\nAnswer: 146268*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/21 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 AM and 9:32 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -5*i**2. Let y(s) = -s - 6. Let u(f) = f + 7. Let o = -10 + 16. Let d(l) = o*u(l) + 7*y(l). What is d(h(r))?\nAnswer: 5*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of h**5\/40 - 7*h**4\/8 + 49*h**3\/4 - 5*h**2. Find t such that b(t) = 0.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0 (b) -7435 (c) 4 (d) 1\/3 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 88*q + 144*q - 1017 - 1535. Let n be (-2)\/(((-2)\/(-4))\/(-1)). Solve -n*z - 8 = d + 14, -3*z + 2*d = q for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -135*a - 8*a - 258*a - 252*a.\nAnswer: -653*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00017316431 rounded to 5 decimal places?\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 56 = 5*d. List the prime factors of (3\/6)\/((-1)\/d).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 5 = p. Suppose 86 = c + 2*s, -3*c + p*s = s - 213. Suppose -4 = -4*q + c. Calculate the least common multiple of q and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 199.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -11*k**3 + 17*k - 6. Let i(s) = 4*s**3 - 6*s + 2. Let q be (-19)\/38 + 11\/(-2). Determine q*j(u) - 17*i(u).\nAnswer: -2*u**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = 285 - 287 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 + m + 1. Let r(p) = 212*p**2 + 265*p + 265. Calculate r(n) - 265*y(n).\nAnswer: -53*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -187?\nAnswer: 3\/187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -59 + 59. Suppose -3*u + 8 - 14 = s. Which is greater: -7\/4 or u?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-2)\/k*k*k*k**(-9)*k)**(-2\/9))**(-3\/14) assuming k is positive.\nAnswer: k**(-3\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4691221832?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 - 25*n**2 - 49*n - 39. Let k be a(27). Calculate the greatest common divisor of k and 1536.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22.37066 days to milliseconds.\nAnswer: 1932825024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ei when two letters picked without replacement from hrierri?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28, 62, 96, 130, 164?\nAnswer: 198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 d when three letters picked without replacement from {d: 4, m: 2, l: 2, g: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/(-27) + 110\/9. Let a = 106 - 103. Factor a*o**3 - 3*o**3 + 5*o**2 + 3*o**2 + 4*o**5 - q*o**3.\nAnswer: 4*o**2*(o - 1)**2*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000003260445 rounded to 7 decimal places?\nAnswer: 0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6531*a - h = -6536*a - 25 - 18, 0 = -5*a + 3*h - 4*h - 7 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -143852, -143864, -143876, -143888, -143900?\n\"Answer: -12*q - 143840","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - o = -7*h + 169, 4*h - 141 = -5*o. Calculate the remainder when h is divided by 34\/3 - 4\/(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 11 - 33)*(-4*z - 2*z + 3*z)*(0*z - z + 0*z) + 3*z - 3*z - z**2.\nAnswer: -115*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the second derivative of z**6\/5 + 10*z**2 - 6*z. What is the first derivative of c(u) wrt u?\nAnswer: 24*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10705, -3, 5449.\nAnswer: -3, 5449, 10705","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**2\/2 - 516*d + 239931\/2.\nAnswer: -3*(d - 159)*(d + 503)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/6754 and 38\/685531.\nAnswer: 1371062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 97902001\/12 - 8163841. Let f = 5344 + m. Calculate the common denominator of 19\/18 and f.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*k + 38*k - 58*k - 38795*k**3.\nAnswer: -38795*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - 0)*(3 + -1). Is 94*((-7)\/y + -3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -7\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -56 + 101. Let r = 135 - k. Let i = -44 + r. Is 18 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 235835 = -463*j + 234446 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1277, 1387, 1483, 1565, 1633?\n\"Answer: -7*x**2 + 131*x + 1153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3553852297 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10855\/1096 - -4\/137. Suppose 0 = -4*n - j - 4*j - 13486, 0 = n - j + 3376. Let x = 50674\/15 + n. What is the common denominator of x and f?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128.8548 rounded to zero dps?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -7 + 1, z = -4*n + 10. Suppose 0 = 6*p - p - 5, 4*p + 26 = n*q. Is 8 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 13950 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 783 and 145.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*n**2\/4 - 65*n\/4 + 7\/2.\nAnswer: (n - 7)*(9*n - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 501*y**3 + 30 + 29 - 59.\nAnswer: 501*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1811, 5420, 11355, 19616, 30203, 43116?\nAnswer: 58355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -2*n**2 + 4*n - 4. Let x be l(-4). Let m = 147 + x. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4139852803.\nAnswer: 149, 27784247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2702 is divided by 52.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -4*f**2 + 13*f + 133. Let i(y) = -y**2 - 2*y + 1. Let m(g) = -c(g) + 5*i(g). Let t be m(-11). Sort 0, 1, t, 73 in decreasing order.\nAnswer: 73, t, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9279, -9276, -9273?\nAnswer: -9270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14 - -15. Put -5, u, -4 in ascending order.\nAnswer: -5, -4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22487162?\nAnswer: 2, 61, 184321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 329 = 4*b + 293. Let p(h) = h**3 - 6*h**2 - 16*h - 16. Is p(b) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 = 78*a - 80*a. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 3*m + 7*m + 11, -15 = 3*j + 3*m. Let b be (-4)\/(-6) + (-13)\/j. Suppose b*i + k + 4 = 0, 10 + 2 = 4*i - 3*k. Which is smaller: -1 or i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/i**(-1))**5\/(i**2*i)**(-19\/3) assuming i is positive.\nAnswer: i**34","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32331956?\nAnswer: 2, 139, 58151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13*o**4 + 33*o**2 + 199*o**4 + 2*o**3 + 174*o**2 + 265*o**4 wrt o?\nAnswer: 10824*o + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -448 - -893\/2. What is the closest to -2 in d, 5, 0.13?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, 305, 17 in decreasing order.\nAnswer: 305, 17, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, 0.93, -3, -0.5, 0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/4*(-8)\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + -9. Let l = -2 - s. Let o = l + -2. Which is the second smallest value? (a) -0.08 (b) -1\/7 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 166 - 96. Suppose -r = -4*k + 266. Suppose 3*i = 7*i - 4*n - 64, n - k = -4*i. Calculate the remainder when 77 is divided by i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 9*s - 82. What is y(9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 PM and 3:01 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -29*n - 4. Let l be f(-3). Suppose 0*z = -z + l. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the second derivative of i**6\/15 - 6*i**5\/5 + 5*i**4\/3 + 4*i**3 - 11*i**2 + 96*i. Factor d(j).\nAnswer: 2*(j - 11)*(j - 1)**2*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 144130, 144127, 144122, 144115, 144106?\nAnswer: 144095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3, 3\/5, -0.3, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from brbbbbbbbbbbbbb. What is prob of sequence bbr?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.9 - 0.71. Let m = u + -0.09. Which is the closest to 2\/5? (a) 3 (b) -3\/5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3231303 - 2100232?\nAnswer: 1131011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**2 + 19*b**2 + 4*b**2)*(-b**2 + b**2 + 2*b**2 + (2*b**2 + 2*b**2 - 3*b**2)*(5 - 2 - 4))*(3 + 4*b - 3).\nAnswer: 88*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 183*b + 10149 = 728*b + 52*b for b.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -5. Let g(r) = -r**2 + r + 4. Give g(p).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of 1\/4*r**5 + 0 + 1\/3*r**4 + 1\/6*r**3 + 1\/15*r**6 - 5*r + 0*r**2. Factor o(j).\nAnswer: j*(j + 1)**2*(2*j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-16)*o)\/(o*o**(-5)*o*o))\/(o**(-3\/13)*o*o*o**(-10)*o) assuming o is positive.\nAnswer: o**(-75\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 35*o**4*v + 2*o**4 - 2*o**3*v - 16943*o**3 - o**2*v + 177*o*v - 365 wrt o?\nAnswer: 840*o*v + 48*o - 12*v - 101658","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87664 is divided by 471?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, -3\/8, -3, 0.1, 1\/8 in increasing order.\nAnswer: -3, -3\/8, 0.1, 1\/8, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-8) - 63\/(-28). Let m(p) = -2 - 21*p**2 + 3 - 3*p - 178*p**2 + 9*p**o. Let a be m(-3). What is a rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -2*k**2. Suppose 4*o = 4*w - 8, w + 0*w - 14 = -5*o. Suppose v = o*m - 0*m + 1, 5*m = 5*v - 10. Let j(n) = -3 - n + v. What is p(j(y))?\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2 + 4*w + 2. Let u be v(-1). What is the remainder when 203 is divided by (-134)\/(-3) + -4 + u\/(-3)?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i = -12*i + 32. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 766, 1519, 2262, 2995?\n\"Answer: -5*r**2 + 768*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5b + 4?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 2*f**3 - 7*f**2 + 4*f + 1. Let x be b(3). Suppose x*g - 121 = -21. Is 6 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r + 12. Suppose -l - 75 = -77. Suppose -3*u - 1 = -4*o - 4, o - l = -2*u. What is i(o)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/((-5)\/2)*-5. Let u be ((-6)\/10)\/(f\/10). Suppose -d + 12 = -o, 5*d + 16 = -4*o + 103. What is the greatest common factor of u and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence www when three letters picked without replacement from wwzgssgwwzzw.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 3165*o**2. Let k(s) = 2*s + 1. Determine m(k(q)).\nAnswer: 12660*q**2 + 12660*q + 3165","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oikkkykyhhh. Give prob of sequence iko.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -47*w**3. What is j(-1)?\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 18 = -y, -138*i + 19 = -143*i - 4*y for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + y + 524 - 178, 2*y = 2*r - 350. Let f = r - 113. What are the prime factors of f?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 908 - 907.8. Let j = 3 - 3.5. What is the closest to j in 5, n, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14509*r**3*v**3 + 1922*r**3*v**2 - 20*r**3 + 2*r*v**3 wrt v.\nAnswer: 87054*r**3 + 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 8 = 8*z. Let h be 4*z\/(-8)*3. Suppose 2*n - 181 = 3*q - 43, -n + h*q + 72 = 0. Calculate the greatest common divisor of 44 and n.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + 3*p - 41, g + 3*g = -2*p + 94. What is the units digit of 0 + (3 - 2)*g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 28\/11 (b) -23\/4 (c) 5 (d) -1\/3 (e) -2\/33 (f) 9.6 (g) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0258 and -2160.\nAnswer: -55.728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 9*m**2 + 4*m + 2. Determine r(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 - 26*r**2 - 3*r + 56. Let n be u(-26). Suppose 9*i = n + 352. Is (-20626)\/(-10) - (i\/(-10) - -5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(3 + (0 + sqrt(80))*-2)*-6)**2 - (5 + 5 + -2*sqrt(80)*-3 + ((sqrt(80)*2*6)**2 + sqrt(80) - sqrt(80))).\nAnswer: -1752*sqrt(5) + 314","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*t**2 + 2*t**2 + 0*t**2)*(0 - 2*t**2 + 0) + (78 - 37*t**3 - 78)*(0 + 5*t + 0) to the form y*t + d*t**3 + k*t**4 + z + b*t**2 and give k.\nAnswer: -189","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7836254 or -7836258?\nAnswer: -7836254","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*h**2 - h**2 - 2*h**2)*(-1 + 2 - 3) + 2*h**2 + 2*h - 2*h + 5*h**2 - 2*h**2 + h**2 + (4*h - 3*h + h)*(5*h - 3*h - 3*h))*(2*h**2 - 5 + 5).\nAnswer: 20*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -176 - -180. Sort 0, t, -5, 13 in decreasing order.\nAnswer: 13, t, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 1004224*l - 17071805. Determine o(17).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 + 146*x + 2931. Let s be p(-122). Let q(b) be the second derivative of 9*b - 1\/6*b**s + 3\/2*b**2 + 0. What is q(4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3676106 to the power of 1\/2, to the nearest integer?\nAnswer: 1917","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -865\/14 + 123\/2. Let d = 3 + -3.5. Which is the biggest value? (a) 0.2 (b) y (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 314863 is divided by 104268?\nAnswer: 2059","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 1 + 2 + (-3 - 3 + 1)*(-2 + 0 - 1)*(2 - 1 + 0))*(-2*o**3 - 2*o**4 + 2*o**3).\nAnswer: -24*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 448 + -194. What is the hundreds digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.25 + 0.2529. Round d to 3 decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 4, -0.02, -2\/19 in descending order.\nAnswer: 4, -0.02, -2\/19, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/6*3*39\/(-26)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13.22 + 13.62. Is 1\/3045 > m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 - p**2 - 5 + 3*p**2 - 6*p. Let v be b(-15). Let g = v - 540. Is g a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2141109\/60*(-4 - (-44)\/12). Let d = 11899 + j. What is the common denominator of d and 3\/(-8)*(50 + -8)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.01 + 0.09. Let x = y + -3.1. Let v = 1.5 + -2. Which is the nearest to 1? (a) x (b) v (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -111 - -728. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (224\/240)\/(63\/45) + 97\/3. Calculate the greatest common factor of 3773 and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5212 + -5212.5. Let g = -2 - -1. Let d = g + 0.7. Put o, 1, d in ascending order.\nAnswer: o, d, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14477*z + 1071328 = -19002*z for z.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t + 47. Let l(w) = w**2 + 5*w - 20. Let c be l(4). Let s be j(c). Round s to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wvhwwhhhwwwww. Give prob of sequence vhh.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*n - 114 + 146 = 0, 0 = -4*m - 2*n + 24 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10642235 (base 8) in base 7?\nAnswer: 25434362","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes before 9:20 AM?\nAnswer: 3:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 689196?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1915 - -1919. Solve z*i - o = -17, 4*i = 2*o - 0 - 14 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -2*t + 3*t - 32, 2 = t. Let j be ((-2)\/z)\/((-4)\/(-36)). What is the third derivative of 1 - 5*a**j - 1 + 3*a**2 wrt a?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3630524 times 10\nAnswer: 36305240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 604767 is divided by 1118?\nAnswer: 1047","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2703098 to the power of 1\/2, to the nearest integer?\nAnswer: 1644","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + 2\/(-2)*12. Let q = o + 19. Suppose t - 13 - q = 0. Calculate the greatest common factor of 14 and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r + 34. Does 3 divide k(31)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 25*u**3 - 3185*u**2 + 12590*u - 12520. Let r(v) = -12*v**3 + 1592*v**2 - 6294*v + 6260. Let d(y) = -7*j(y) - 15*r(y). Let d(k) = 0. What is k?\nAnswer: 2, 313","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 less than -7892384?\nAnswer: -7892388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -x + 10, 0 = 3*b - 2*x - 52. What are the prime factors of b?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + 8. Suppose 4*u = -4*i - 0*i - h, 2*i - 2*u = 2. Suppose 2*b - 3*y + 7 - 3 = i, 3*y = -3*b + 24. Solve -b*n + 0*n = -4 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.109417861 rounded to two decimal places?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1810 is divided by 1797.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 - 13*k**2 - 11*k + 9. Let c be a(-12). Let s be 215\/10 - c\/(-6). Let f be (-4)\/(-6)*s\/2. Calculate the highest common factor of 77 and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of -i**3\/9 + 2251*i**2\/3 - 5067001*i\/3 - 6427. Let o(p) = 0. Calculate p.\nAnswer: 2251","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 - 14 - 24)*((0*i - i + 3*i)*(3 - 4 + 2) - 3 + 3 + i)*(i - 2*i - i) - 5*i**2 - 16*i**2 - 2*i**2.\nAnswer: 109*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8)\/2*(-4437)\/(-6). Let g = -4681 - -3897. Let o = g - m. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -96 + -27. Let v = p + 121. Let i = 1178\/9 - 131. Which is the third biggest value? (a) i (b) v (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 151976 and 2826.\nAnswer: 1367784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/6 and ((-6)\/16)\/((-21)\/217).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25131710 a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 83832.44214 + -83890.74214279. Let k = -655.3 - -597. Let s = k - h. What is s rounded to 6 decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-11)\/18 - (-1)\/9)*2\/(-20)?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 276 = -2*v + 12, 2*v + 1392 = 5*d. Calculate the highest common divisor of 4340 and d.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24246 divided by 6?\nAnswer: -4041","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide (64\/(-24))\/((-8)\/252)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 321722821 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -3*o + m - 0, 30 = 3*o + 3*m. Calculate the remainder when 28 is divided by o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95) + -1*sqrt(95)*-5 - sqrt(95)*2*-4)\/(sqrt(45)\/(sqrt(144) - sqrt(9)) + sqrt(5) - 1*sqrt(720)).\nAnswer: -21*sqrt(19)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-42)\/273 - ((-3)\/7 + (-306)\/(-12376))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 274371?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -7*u + 1. Let o(y) = 66*y. What is g(o(r))?\nAnswer: -462*r + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -4*f**2 - 101*f - 26. Let p be k(-25). Let v be -4 - (-1)\/(12\/56). Which is the nearest to p? (a) 5 (b) v (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 - (32 - 57) - (-1 + 2 + 0)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 41, 3, -17260 in decreasing order.\nAnswer: 41, 3, -17260","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, d: 6, m: 3, i: 1, n: 1, h: 1}. What is prob of picking 2 d and 1 n?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 189011 is divided by 9317?\nAnswer: 2671","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1.25 and -4016957.\nAnswer: -4016955.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4)\/(sqrt(4)\/sqrt(8)))**2 + 3.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/6)\/((-2)\/(-3)). Let f be -2 + 3 + h + 2. Suppose -475 = -9*w + f*w. Calculate the greatest common factor of 19 and w.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*r**3 - 40*r**2 - 422*r?\nAnswer: 12*r - 80","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 50069143 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 437683466 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaaaaaaaa. Give prob of sequence aaa.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 - 8*z**2 + 8*z + 6. Let m be f(-9). Suppose -2*p = 3*p + m. Let y = p - -7. Calculate the remainder when y is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31 - (122 + -64) - -117\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u - 1. Let b(r) = -r**2 - 4*r + 8. Let k(x) = b(x) + 4*q(x). What is z in k(z) = 0?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = 10, 0*b - 4*g = 3*b + 14 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -130\/11*p**3 - 684\/11*p**2 + 2\/11*p**4 - 1112\/11*p - 560\/11 = 0.\nAnswer: -2, -1, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*g**2 - 293962*g**3 - 21 - 3*g**2 - 2*g + 293943*g**3 in the form p*g**2 + b + s*g**3 + u*g and give b.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (14\/((-280)\/15))\/((-3)\/8). Factor 1\/4*m**3 + 1\/4*m**w + 0*m + 0.\nAnswer: m**2*(m + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 + 22. Let g(t) = -w*t + 13*t + 9*t + 1. What is the units digit of g(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 111799782?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 83.68?\nAnswer: 83.68","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*p**4 + 5*p**4 - 19*p**4 - 4*p**4 + p**4 + 4*p**4 + (-5*p - 5*p**2 + 5*p)*(-2*p**2 + 3 - 3).\nAnswer: -6*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f**2 + 7*f**2 + f**2 + f**2.\nAnswer: 7*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3a45d0 (base 15) to base 16.\nAnswer: 2ab65b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, y: 1, i: 1, h: 1, f: 1}. Give prob of sequence hfy.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 91 divided by 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.528 + -3.598. Let a = x + 3.0699623. What is a rounded to 5 decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v - 658 = 22. Calculate the remainder when v is divided by 42.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-5*sqrt(85)*-3)\/(sqrt(5) + sqrt(20)*-5)*-2)**2.\nAnswer: 6800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 64105 - -108088. Suppose 0 = -3*n + 919807 + c. Round n to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23480407649 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -2376\/109 bigger than -23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 2859?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*i + 12*i + i as m*i + z and give m.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 3*u**3 + 2*u**2 + 3. Let j(d) = d**2 - 21*d + 3. Let q be j(21). Let f(v) = -6*v**3 - 4*v**2 - 5. Calculate q*f(c) + 5*y(c).\nAnswer: -3*c**3 - 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 29 - 20. Let b(m) be the second derivative of 7*m**3\/3 + 5*m**2\/2 - m. Is b(z) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*g = 33*g + 1065. Let b = -58 - g. List the prime factors of b.\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37833 is divided by 4727?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(352)*-2*1)\/(1*sqrt(88)\/(sqrt(24)\/sqrt(3))))**2.\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -0.3, -0.1, 26, 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/2132 and 5\/50408.\nAnswer: 26867464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 175373760?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -16*d. Let c(f) = -397579*f. Calculate i(c(z)).\nAnswer: 6361264*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.06 (b) 4 (c) -370\/81\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*z - 2323 - 1889. Let v = z + 938. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvahavlahh. What is prob of picking 3 a?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**2 - 10*t - 7. Suppose 14*j - 24 = 10*j. What is the remainder when j is divided by y(11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1.7 (b) 11006 (c) 0.6 (d) 1 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2.5 and 301050989?\nAnswer: 301050986.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 - 11*n - 10. Let k be t(12). Suppose 6*q - 2*c + 742 = 9*q, -k*c - 488 = -2*q. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 2*l**3 - 3*l**2 - 5*l - 3. Let s(o) = -6*o**3 + 8*o**2 + 14*o + 8. What is 8*i(c) + 3*s(c)?\nAnswer: -2*c**3 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 - 12*r - 18. Let t be l(-2). Suppose -2*p = -t*z - 100, -5*z + 232 = 4*p - z. Is p a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g**4 - 3*g + 3*g - g**3 - g**4 + g**3 + (-2*g**3 - 3*g**3 + 3*g**3)*(-6*g + 3*g + g) + g**4 + g**3 - g**3 + 22*g - 31*g + 5*g - 4*g**4.\nAnswer: 2*g**4 - 4*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 851.\nAnswer: -5\/851","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -5*h + 25. Let r be p(4). Let f = -0.06 + 2.06. Let s = 4 - f. Sort 0.1, s, r in increasing order.\nAnswer: 0.1, s, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4872 + -4740. Solve 55*s = 33*s + v for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/83 and -3\/2905.\nAnswer: 2905","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -267 - 3?\nAnswer: -271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 + 3. Suppose 4*m - d = 3. What is the remainder when 8 is divided by m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14*14\/(-196)*30\/5\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by -26?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -918*f + 64231. Calculate d(70).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-51)\/34)\/(((-3)\/(-10))\/(8\/(-10))). Solve -215 = -39*k - l*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-180)\/432*(-4248)\/6195\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 613169.74 to the nearest one thousand.\nAnswer: 613000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 38 + -42. Let a(t) be the first derivative of -t**4 + 9*t**2\/2 + 3*t - 18. What are the prime factors of a(b)?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 82.9124 weeks?\nAnswer: 50145419520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10022 - 10222022?\nAnswer: -10212000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -169.56 - -159. Let l = q - 0.04. Round l to zero dps.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5418)\/196)\/(-43)*(265\/60 + -5).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -512\/11 - 25\/11*i**3 - 64*i - 216\/11*i**2 - 1\/11*i**4 = 0.\nAnswer: -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -5, 5, -2\/73, 31\/3, -158?\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-8) - (-1670)\/8. Let l be (-1)\/4*-4*j. Let f = -122 + l. Calculate the remainder when f is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 348679 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-140)\/(-16))\/7*((-240)\/1125)\/16.\nAnswer: -1\/60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*k**2*q**4 - 58*k**2 - 215*k*q**4 + 87 wrt q.\nAnswer: -16*k**2*q**3 - 860*k*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -3 - 3*k**2 - 6*k - 4*k + 5*k + k**3. Let z = -2 + 6. Determine r(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g - 3*l - 3 + 2, 0 = -4*l - 8. Let y = 48 + -30. Let o = y - 0. What is the remainder when o is divided by g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 31 + -22. Let w = z - 7. Suppose i = w + 57. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -275\/1872 + -1\/144. Sort w, -5\/3, -2\/7, -0.2 in descending order.\nAnswer: w, -0.2, -2\/7, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 + ((-182)\/(-364) + 166\/(-20))*(7 - 12)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23*x - 6*x + 6*x)*(0 - 1 - 1)*(0 + 1 + 1).\nAnswer: 92*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-24)\/9)\/((-4)\/6). Suppose -2*m + 5*a = -o*m + 43, -2*a - 146 = -4*m. Suppose -4*x - m = -134. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 AM and 3:18 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7 and 35165921.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*m**4 + 48832*m**3 - 185051.\nAnswer: -16*m**3 + 146496*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4*(-13)\/(-52))\/(186\/63 - 3). Solve 20*j - o*j - 5*a = 8, 0 = -3*a - 3 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -1. Let z(r) be the third derivative of r**4\/24 + r**3 - 15*r**2. Determine 3*b(q) + z(q).\nAnswer: q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.3 (b) -3 (c) 88 (d) 4019 (e) -32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 34373 + 63907 = 9*x. What is the highest common factor of x and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 2*z**2 + 3*z - 2. Let r be x(-2). Suppose 4*n + k = 30, r = n - 5*k - 7 + 10. Is n smaller than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -29 - -20. Let w(b) = b**3 + 8*b**2 - 8*b. Let u be w(l). Let d be (-219)\/u + 4\/6. Solve -6*q = -q + d for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 52847 and 146251.\nAnswer: 6288793","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17391 and 235569.\nAnswer: 1581","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 2 = -4*q, 15 = -3*x + 4*x + 2*q. Solve -x*p = -3*p + 12 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 47 = -45*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 123\/46744790 and -71\/76422?\nAnswer: 140234370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 589a4904 + -1?\nAnswer: 589a4903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(5\/3)*(n\/((n*n\/n**6*n)\/n))\/n*(n**(-10)*n)\/n*n\/n**(1\/6) assuming n is positive.\nAnswer: n**(-7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, w: 1, d: 1, n: 1}. What is prob of sequence kd?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5302, 5547, 5820, 6115, 6426, 6747, 7072, 7395?\nAnswer: 7710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7493?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -44, -150, -320, -554, -852?\n\"Answer: -32*m**2 - 10*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -7*f**2 + 6*f + 8. Let o be (-3)\/3 + 173 - -2. Let m = o - 80. Let s be (-16)\/72 - m\/(-18). Let x(z) = 6*z**2 - 5*z - 7. Calculate s*x(y) + 4*q(y).\nAnswer: 2*y**2 - y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + 0. Let q be (60\/(-3))\/2 - (-4)\/(-1). Let b(c) = -2*c**2 - 28*c + 3. Let j be b(q). Solve -v*z = -j - 9 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -290*k**4 + 330?\nAnswer: -1160*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -501.9 + 504. Let r = -2.2 + f. Put 0, -0.2, -1.6, r in increasing order.\nAnswer: -1.6, -0.2, r, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 18, 1, 36\/5, 62, -2\/19, -3?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37 - (48 + (11 - 6)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 279 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(6)*-1)\/(sqrt(1280)\/sqrt(10)).\nAnswer: -sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 4:19 AM?\nAnswer: 7:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -611 = -797*r - 25 + 1805 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**0*a)**(14\/5)*a**6*a*a**(-4))\/(((a*a\/a**(1\/2)*a)\/a*a*a**(-1\/8)*a*a)\/((a\/(a\/a**(1\/2))*a)\/(a\/(a*a**(-1\/2)\/a*a)))) assuming a is positive.\nAnswer: a**(97\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -6 (b) 5 (c) 51 (d) -4 (e) 1038\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 120829139 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-15.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1834)\/(-393)*(-498)\/84*(6 - 15\/5)?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -363 + 363.09725. Let o = 0.096 - v. What is o rounded to four decimal places?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 5*x - 11427. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - (234\/(-18) + 55)) + (-4 - 2)*2.\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccezczdeeczcddedddz. What is prob of picking 3 d and 1 e?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + j = -b - 6, -2*b = -2*j + 12. Let h(f) = 3*f**2 + 7*f + 11. Is 18 a factor of h(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 2*q - 1 = 0, -3*x - 6*q = -4*q + 37. Let v = x - -13. What is the second derivative of -2*z - 5*z**3 + z + v*z**3 wrt z?\nAnswer: -6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.12 - -16.72. Let g = d - 19.6. Let n = 2\/3 + -1. Which is the nearest to n? (a) g (b) 3 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 59175 and 48000?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a microgram in nanograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*n - 2817830 - 4953973 = -136*n. List the prime factors of n.\nAnswer: 3, 15329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 361 and 10.\nAnswer: 3610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**23\/c*c\/(c*c*c**0*c)*(c**(-1\/12)*c)\/c*c*c\/(c\/(c\/(c*c**16*c)*c)*c)*c assuming c is positive.\nAnswer: c**(59\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 159 - 104 = -2*l, 0 = -2*l - 3*c - 15 for l.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange c**2 + 3*c**2 + 28 - 3*c**2 to l*c + k + f*c**2 and give k.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 3062, -30, 27 in decreasing order.\nAnswer: 3062, 27, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - -1 - 1 - (18 - 23)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-26))\/(k\/(k\/(k*k**(3\/5)\/k*k)))*((k**(-2\/5)*k)\/k)\/(k**26*k) assuming k is positive.\nAnswer: k**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 21 - 4 = 0. Suppose -6*o = r - l*o - 120, -4*o = -2*r + 210. Does 30 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3125 times -0.084\nAnswer: 262.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 s when three letters picked without replacement from rjrejrjnssjn.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-nine halves of a millimeter?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 246151128*g*r**3*t**2 - 20*r**3*t**2 - 16*r**2*t**2 + r**2 + r*t**2 - 395*r + 10*t wrt g?\nAnswer: 246151128*r**3*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a tonne in kilograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y**5 - 3*y**5 + 3*y**5 + (-y + y - 2*y)*(0*y**4 - 5*y**4 + 3*y**4))*((1 - 3 + 0)*(-3 - 2 + 4) - 1 + 2 + 0 + 4 - 2 + 0 + 230 - 6 - 34).\nAnswer: 1365*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, 2, -8, 4.\nAnswer: -8, 2, 4, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kjk when three letters picked without replacement from zzkjjkkjj.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -81 - 63. Let x = -65 - o. Sort 1, x, -3, 0 in descending order.\nAnswer: x, 1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 4:11 AM?\nAnswer: 2:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2316627 is divided by 68?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Convert 551252 (base 7) to base 16.\nAnswer: 17906","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 234154031047 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 166178, 332750, 499322?\n\"Answer: 166572*t - 394","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*z + 184 - 199, 0 = -5*h + 4*z + 2 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.7833 and 1598.\nAnswer: 1598.7833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -55173 at least 44?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 + -7. Let u(y) = -y**3 + 8*y**2 - 5*y + 5. Let k be u(p). Suppose -2*d - v + 29 = 0, v + k = 4*d - 2*d. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 196482 by -7557.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 521602, 1043225, 1564870, 2086549, 2608274, 3130057, 3651910, 4173845?\nAnswer: 4695874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -2713162 at most -2713162?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11719989 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*f - 3*f = 22, 3*b + 2*b + 43 = -4*f for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11940701 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -2*z. Let b(n) = -n - 2. Let h be 99\/(-55) - (-2)\/(-10). Let j be b(h). Suppose 0 = s - j - 3. Calculate o(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 2:44 AM?\nAnswer: 11:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, 309.8, -31228?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -27*k + 11. Let n(w) = -22*w + 9. Let j(l) = 9*a(l) - 11*n(l). Let f(c) = c**2 - c + 1. What is -f(x) + 2*j(x)?\nAnswer: -x**2 - x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 219 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -117912*y**2. Let k(a) = 2*a. Determine k(q(h)).\nAnswer: -235824*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12\/2*46\/69. Suppose -3*k = z*i - 32, 0 = 5*k - 28*i + 24*i. Calculate the lowest common multiple of 36 and k.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 277 not equal to 7\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*y**4 - 33*y**3 + 46*y**2 - 12*y - 8.\nAnswer: (y - 2)**2*(y - 1)*(7*y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 6, i: 6}. What is prob of picking 3 i and 1 p?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - 57528732615873?\nAnswer: -57528732615870","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -44207715 (base 8) to base 16.\nAnswer: -910fcd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 301230 - -1?\nAnswer: 301231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6*b**3 - 4*b**3 + 76*b - 69 + 169 wrt b?\nAnswer: 6*b**2 + 76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d**2 - d**2 + 3*d**2)*(-231*d + 325*d - 93*d - 1901)*(-1 + 1 + 2*d).\nAnswer: -2*d**4 + 3802*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -10*((-24)\/(-10) - 0). Let o be (-6)\/z - 11\/(-4). Suppose -4*d = o*c - 9, 0 = -4*d + 2*d - 5*c - 13. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125 - 55 = -20*g for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 AM and 3:45 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10522 + -10521.2. Which is greater: 166 or o?\nAnswer: 166","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -42, -40, -38, -36, -34, -32?\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -15*(-4)\/6 + -2. Let r be (-42)\/(-4) + (-4)\/8. Suppose 3*b - d*b = -r. Solve 2*k + 13 = -k - b*s, -4*k - 5*s - 15 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 66 and 220?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -108356, -216968, -325834, -434948, -544304, -653896, -763718, -873764?\n\"Answer: o**3 - 133*o**2 - 108220*o - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*j - 69*j + 375 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -6 + 2 + -4 + 18 - -7.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pi when two letters picked without replacement from {l: 1, h: 1, i: 1, p: 1, x: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 48 - 45. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + 11445?\nAnswer: 11445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(16\/2)*(309\/(-515) - 214\/10)?\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.08, -3, 3, -8999, -12?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -51*w + 9. Let k be i(6). Is k\/(-6) + (-2)\/4 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 105 and 510615.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 64 and 100432?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -3) + (-10 - -16 - 12).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 704942733?\nAnswer: 3, 11, 281, 6911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r + 3. Let g be y(0). Suppose -772 = g*q - 103. Is q\/(-6) + (-1)\/6 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 31642 + -16251. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 19 * -347.58.\nAnswer: -6604.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*s + 64 = -9*s + 8*s for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) -4 (b) -0.4 (c) -123 (d) -47\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 + 10. Find the second derivative of n - 2*n**4 - n**4 + 0*n**h wrt n.\nAnswer: -36*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-17 - -54) + 5 - 49\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 631291 is divided by 42085.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8.9827 - -0.2733. Round f to 0 dps.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.03 + 2.03. Let w = 0.07 - 1.47. Let k = 0.4 + w. Which is smaller: k or x?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -3*l - 8. Let h be l\/((-1)\/(-2) - -1). Round h to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.301004962 rounded to 4 decimal places?\nAnswer: 0.301","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 13374*d + 5951435. What is q(-445)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 0*u + 3*t + 84 = 0, 5*u = 4*t + 442. What is the greatest common factor of u and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -11909 and 108?\nAnswer: -1286172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 46*w**3 + 2*w**2 - 1. Suppose -4*y - 4 = -8. Is 21 a factor of b(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110 (base 5) to base 6.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, 9, 0.36, 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 465\/12 + -3 + -67 + 34.\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -38 + 6*k**2 + 6*k**2 + 77 + 15*k**2 - 41 + 8*k**3 in the form y*k**2 + j*k + o + x*k**3 and give y.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 5. Suppose -3*o - 4 = -l, -s*l + 4*o + 2 = -14. What is the second derivative of -5*m + l*m**2 - 20*m**2 + m wrt m?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 5*p + 53, 0 = 4*p + 4. Suppose -4*r = -7*r - 3, -k = -2*r - i. Suppose -20 = -k*g + 5*g. Which is the nearest to g? (a) 0 (b) 4\/5 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -6\/11 (b) -2 (c) 7 (d) 5 (e) -0.01 (f) 3 (g) 9.4\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 54\/10 - (-4)\/(-10). Suppose -z - 3*b = -5*b - 2, 5*z + 2 = -2*b. Solve 4*i + 2*r + 2 = z, -4*r - 5 = a*i - r for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12.82 - -0.12. Let m = 13 - d. Let o = 0.64 - m. What is o rounded to 1 decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1470592 - -1470592.2920426. Let a = j - 0.292. Round a to five decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -89 from -70.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1441\/2 - -696. Let a = i - -24. Let w = 0.3 - 0.1. Is w > a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -17*u - 13*u + 5*u**2 + 31*u - u**3. Calculate l(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1981385 - -67?\nAnswer: -1981318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 45145 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 999.1953 tonnes in nanograms?\nAnswer: 999195300000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(51)\/(sqrt(12) + sqrt(3)) - (-3 + (sqrt(17) - (sqrt(17) + -1))))*-3)**2.\nAnswer: 12*sqrt(17) + 53","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.4 + -0.6. Let v = 9910 - 49878\/5. Let q = -66 - v. Which is the third smallest value? (a) 4 (b) q (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g + 7*g = -35. Is 2\/14 + 1290\/g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 2*u**2\/11 - 10624*u\/11 + 14108672\/11 = 0?\nAnswer: 2656","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.121784057479 + -1.\nAnswer: -0.878215942521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*l - 56*l - 90 = 0. Let s = 2 + 9. Calculate the remainder when l is divided by s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + -36 + 55 + 9 + 33.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -8133370 to the nearest 10000.\nAnswer: -8130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10424124 is divided by 65?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -192*z**2 + 1. Let x(t) = 2*t**2. Determine w(x(q)).\nAnswer: -768*q**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((1*sqrt(192))\/(sqrt(36)*3))**2.\nAnswer: -80\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -5*v + 13. Let b be i(2). Suppose 7*j - 20 = b*j. Suppose -4*s + 0*s + 108 = -2*f, -4*f - 135 = -j*s. What is the highest common factor of s and 135?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a**(-2\/19)*a)\/(a**(1\/2)\/a))\/(a**(-1))**11)**(-31) assuming a is positive.\nAnswer: a**(-15779\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 + 23 = 2*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2968\/(-80) + 37)*22?\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.66301317 rounded to 3 decimal places?\nAnswer: -0.663","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -331618 divided by 47374\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2007708 to the power of 1\/2, to the nearest integer?\nAnswer: 1417","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -55 + 55. Let h be (-1 + i)*0\/(1 - 2). Suppose h = 4*a + 63 - 19. Put -3, a, 5 in decreasing order.\nAnswer: 5, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + 5 - 18\/(-9). Is 6 less than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -23342002 (base 5) in base 7?\nAnswer: -1554362","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 + -3. Let f = 22 + -18. Suppose 10 = -2*x, -f*b - x + 5*x = -28. Solve b = -u*k - 6 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -117 - -115. Let u(m) = -3*m - 1. Let j(v) = -7*v - 3. Let a(i) = -i - 20 + 19 - i. Let l be a(-3). Calculate c*j(h) + l*u(h).\nAnswer: -h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 AM and 10:23 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 976\/105 - 66\/7. What is the second smallest value in 1\/3, f, -3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 381187 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2*(3\/40)\/((-43)\/(-172))\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1778.00000192 + 1778. Round q to six dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -5, -27, -55, -83, -105?\n\"Answer: m**3 - 9*m**2 - 2*m + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15 * -11.\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + 17b?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**2 - 24*w - 4. Let r = 86 + -79. Suppose 6*u = r*u + 17. Is n(u) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1969*i**2*v + 49*i**2 - 20*i*v + 3814*i + 4*v + 1 wrt v.\nAnswer: -1969*i**2 - 20*i + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 29156.24441 - 29156. What is n rounded to three decimal places?\nAnswer: 0.244","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v + 16. Let b be x(12). Let o(u) = u**3 - 4*u**2 + 4*u + 4. Give o(b).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 179 a factor of 2479003?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + ((sqrt(242) + 1)*3*-3 - 2*sqrt(242)*-2*-2))**2.\nAnswer: 3366*sqrt(2) + 70019","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, -2, 39, 3 in increasing order.\nAnswer: -5, -2, 0, 3, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.06243 + -0.39227. Round j to 2 dps.\nAnswer: -0.33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24 * -1.1\nAnswer: 26.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -623957, 4, 0, -25 in ascending order.\nAnswer: -623957, -25, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, 0.5, -0.08, 3\/4, -5?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 5*y + 1. Let z(q) = 0*q + 15*q + 3 - 5*q + 6*q. What is -7*w(m) + 2*z(m)?\nAnswer: -3*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 24, 88, 262, 600, 1156, 1984, 3138?\n\"Answer: 9*r**3 + r**2 - 2*r + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 - 7*u - 18. Suppose 0 = -3*b + 2*c - 26, 15 = 2*c + 7. Determine d(b).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**2 - 21*b + 4. Let k be w(21). Let g(i) be the first derivative of 15*i**2\/2 + 2*i - 3. Is g(k) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 5550666?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3.7 and 265760867.3?\nAnswer: 265760863.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t + 14*t**2 - 9*t**2 + 3*t - 4*t + 4*t + t**2 + (-t + 8*t - 3*t)*(-2*t + 2*t + t).\nAnswer: 10*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/8 of a kilogram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, z: 1, k: 1, t: 4, w: 1}. What is prob of picking 1 w and 1 z?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.2 - -3.8. What is the biggest value in z, 1, -0.1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 - 14*i**2 + 57*i - 128. What is h(9)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4183)\/2216990)\/(5\/200).\nAnswer: -4\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -2*z**2 + 2. Let i(r) = r**2 - 3*r. Let u be i(3). Let s be 40 - (u\/2 - -4). Suppose 2*x + s = 40. What is k(x)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -2*i**2 - 16*i + 4. Let s be a(-8). What is the hundreds digit of (-17754)\/(-110) + s\/(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22046 and 302.\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3709706?\nAnswer: 2, 7, 11, 13, 17, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.5678 - 0.6278. What is the third biggest value in 21, 0.3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 223380*h**4 - 595*h + 41137708 wrt h.\nAnswer: 893520*h**3 - 595","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 10089799 and 0.1.\nAnswer: 1008979.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 21403 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((2\/(-24))\/(3\/(-12)))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 4*i**3 + 284*i**2 + 4588*i - 16428 = 0.\nAnswer: -37, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 27*w**5\/4 + 16413*w**4\/4 + 1161663*w**3\/2 - 13033671*w**2 + 54768822*w - 62115480 = 0. What is w?\nAnswer: -314, 2, 28\/9, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 369166654?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (505\/101)\/(-5*(-13)\/2).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 10 = -2. Let l(q) = -q + 3. Let m(h) = -h - 1. Let s(c) = 2*c + 1. Let n(o) = -3*m(o) - 2*s(o). What is p*n(d) + l(d)?\nAnswer: d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + 120a?\nAnswer: 120c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1068\/16)\/(3\/48). Let g = -443 + m. What is the hundreds digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of 27*i**3\/2 + i**2 - 18*i. What is the tens digit of t(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -228 or 26074?\nAnswer: -228","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*u - 5241 = -5259 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 259*w = -56*w. Suppose -3\/4 - 7\/8*v + 1\/8*v**3 + w*v**2 = 0. Calculate v.\nAnswer: -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2, 3, 11 in increasing order.\nAnswer: -4, -2, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/46)\/(206\/2369).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 52 * -26933\nAnswer: -1400516","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.7 - 2.9. Let d = 91.84 - 90. Let l = d + i. What is l rounded to 1 decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*2*(sqrt(343) - (sqrt(343) + -1)) + (sqrt(343) - (sqrt(343) + ((sqrt(343) - (sqrt(343) + -1))*-5 - sqrt(343)) + sqrt(343)))*-2)**2*4.\nAnswer: 1936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 417 = 4*m - 671. Solve 5*o + 302 = m for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19521 - 156343529?\nAnswer: -156363050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 8) in base 4?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -9*a + 10. Determine q(5).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 13) in base 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -104.7661582 to one decimal place.\nAnswer: -104.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 720*z**2 - 907*z + 907*z.\nAnswer: 720*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 42\/5 of a litre?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1258954314 and -776.\nAnswer: -1258955090","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the third derivative of -h**4\/6 + h**3\/3 - 19*h**2. Let m(d) = -3*d + 1. Let j be 4*2\/4 - (3 + -3). Give j*i(y) - 3*m(y).\nAnswer: y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of q**3\/3 + q**2\/2 + q - 1. Suppose -4*z + 8 = 20. Let u be m(z). Solve -2*g - 3*g - 25 = -5*b, -g = 2*b - u for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**5 - t**2 + t. Let m(s) = 20*s**5 - 10*s**2 - 161*s. Let d(j) = -m(j) + 6*x(j). What is the second derivative of d(u) wrt u?\nAnswer: -280*u**3 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*d + 5*d + 8*d.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -308*n**3 + 303*n**3 - n**5 + 2*n**5 + (-6*n**2 + 14*n - 14*n)*(-5*n**3 + n**3 + 0*n**3).\nAnswer: 25*n**5 - 5*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 74*l - 73*l - 4. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.01+-5.34\nAnswer: -5.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 177328*z - 3 - 178046*z.\nAnswer: -718*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*l**3 + 2626*l**2 + 6*l + 6827785 with respect to l.\nAnswer: -15*l**2 + 5252*l + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*(-3 + (-9)\/(-3) - 1). Solve k + 4 = -5*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 7, -2, 2, -10, -8, 51 in decreasing order.\nAnswer: 51, 7, 2, -2, -8, -10, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 530.5973ml in litres?\nAnswer: 0.5305973","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17)\/(1547\/(-2352)) + 48\/208*16\/24?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 13763 * 724\nAnswer: 9964412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28901 + 28901 + 136*q.\nAnswer: 136*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 9\/4 - 2\/8. Let t be -1*(16 + 0) - i. Let o = 25 + t. Solve 2*b + 5*q - 18 = 0, 3*q - o*q + 15 = b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 - 19)*(-16)\/40. Suppose -k = -2*m + 4. Let w(s) = -2*s - 1. Let z be w(-3). Solve 1 - m = -z*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - -1. Let s be ((-2)\/(-4))\/(n - 2). Suppose 0 = -5*a + 23 + 2, -p + 2*a = 15. Sort p, s, -0.4 in descending order.\nAnswer: s, -0.4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 117*h**2 + 35*h - 93. Is 10 a factor of v(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of r**8\/141120 - r**7\/4410 + r**6\/315 + 13*r**5\/60 + r**4\/12 + 8*r**2. Let k(x) be the third derivative of s(x). Factor k(u).\nAnswer: (u - 4)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.782748 centuries to years.\nAnswer: 678.2748","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-13 + 16)*78927\/9 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 96882, 96878, 96872, 96864, 96854?\n\"Answer: -b**2 - b + 96884","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*z - 96*z - 24*z - 8*z as p + x*z and give x.\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2557239 and 4121?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2) + 1)*-1 - 2*sqrt(50))*4)**2*1.\nAnswer: 352*sqrt(2) + 3888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 970*y**2 + 1220*y**2 - 2151*y**2.\nAnswer: 39*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*t - 20*t + 321 = -43 + 41 for t.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*z - 2)*(4*z + 2*z - 5*z) - 1 - 6*z**2 - 5*z**2 + 5*z**2.\nAnswer: -4*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - (7 + (2 - -7))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2917*o - 134433 + 108744 = 156945 + 53643 for o.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6\/11? (a) -589 (b) -5\/3 (c) 3 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-21)\/((-756)\/60))\/((-1)\/246). Let w be 81*(-1)\/2*-22. Let o = w + p. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 9. Let q be 2\/1 + -2 + o. Suppose 0 = 12*r + 4 - 16. Solve 3 + r = q*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 62.9 + -63. Let y be ((-1)\/2)\/((-3)\/(-882)). Let d be ((-7)\/y)\/(2\/(-6)). Which is the biggest value? (a) 0.2 (b) f (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -s - 2. Let g be 2 - (-148)\/(-24) - s. What is the closest to 0.1 in g, -0.4, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -z**4 + 82667*z**3 + 2*z**2 - 2923464 wrt z?\nAnswer: -4*z**3 + 248001*z**2 + 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.05 + -0.05. Suppose 5*d + f = 5*f - 3, -f + 2 = 0. Which is the smallest value? (a) d (b) z (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3 - 6) + -1 + 6. Let g be (-1)\/((4\/6)\/n). Let r = g - -4. Solve -3*j + r = 7 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-1004)\/(-6)*(51 - (-990)\/30)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -845 + 229843\/272. Is g greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -28239.2 * -12.4.\nAnswer: 350166.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4181, 0.2, 279?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 593.56 + -614.1. Round j to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 13887788.3 to the nearest one hundred thousand.\nAnswer: 13900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*(p*p**(-2\/3)*p)\/p*p*((p\/p**7)\/p)\/p*p*(p**2*p)**(-3\/26) assuming p is positive.\nAnswer: p**(-391\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 302*y - 297*y - 37815 = 0. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -8.2, -0.92, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 70.6 - -409.4. Let q = j + -480.3. Put 2, -2, q in decreasing order.\nAnswer: 2, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((16\/100)\/(12\/10))\/(21\/(-75)*5).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*l - 169*l = -4*l + 2144 for l.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2266609358?\nAnswer: 2, 13, 151, 577333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -23452.09616 rounded to the nearest 100?\nAnswer: -23500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-157*b + 9*b**2 + 157*b)*(-3 - 2 + 3)*(-4*b - 2*b + 4*b) to v*b + l + t*b**2 + n*b**3 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -13*t + 103. Let p be x(7). Let v(z) = 18*z - p*z - 4*z. Let q(c) = 13*c**2 + 18*c. Calculate q(v(o)).\nAnswer: 52*o**2 + 36*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/13 in 2, 0.2, -66, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/8 (b) -2\/17 (c) -1\/4 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6555, -6556, -6557, -6558, -6559, -6560?\nAnswer: -6561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = 4*k - 18, 65*j - 8 = 60*j - 9*k for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 12) to base 11.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 163\/7 - 2\/7. Calculate the greatest common factor of 207 and d.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i + 18. Let f be m(-18). Suppose 3*l - 55 - 23 = f. Suppose 6*b + 2 = l. Solve 3*s + 1 = 4*u, -b*s = u - 3*s + 5 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 7 and -2126872393711?\nAnswer: 2126872393718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -0*t - t - 3*k, 4*k - 48 = 4*t. Let j(m) = -m**2 - 8*m. List the prime factors of j(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15 - -20. Let u be (-1)\/(-1)*(-5 + f). Suppose -2*v = -4*p - 4*v + 36, 3*v = u. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5806303?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1\/3))**(-9\/2))**(-26) assuming u is positive.\nAnswer: u**(-39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 + 0)*(-h**3 + 2*h**3 + h**3) + 0*h + 2*h**3 + 0*h + 10*h**3 - 14*h**3 - 15*h**3.\nAnswer: -13*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 295 = -5*k, -k - 2*k = 2*a - 123. Suppose a = -4*u + 9*u. Factor 47*p**4 + 109*p**2 - 162*p**3 + 28*p**4 + 24*p**2 - u*p**5 - 24*p - p**2.\nAnswer: -3*p*(p - 2)**3*(4*p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*s**2 - s + s)*(-2 - 9 - 4)*(-3*s + s + 0*s) to c*s**2 + a + g*s + b*s**3 and give b.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -54.1 and -3?\nAnswer: 162.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5 and 679?\nAnswer: 3395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6*(8\/(-6))\/(-2). Let j(o) = -y*o**2 - 176*o + 176*o. Let s(p) = p. Determine s(j(t)).\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85203 - 14823 = -782*h for h.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the third derivative of k**5\/60 + 25*k**4\/12 - 202*k**2. Let f(h) = 4*h. What is a(f(r))?\nAnswer: 16*r**2 + 200*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 3*g - 28 = 0. Let n be 24*12\/126 + (-4)\/g. Suppose 4*c = -3*t + 4, -3*c + 14 = 4*t - 2*c. Solve t*l - 32 = -4*r, 0 = -n*l + 8 - 2 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82458597 to the power of 1\/3, to the nearest integer?\nAnswer: 435","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1334345 + -22?\nAnswer: -1334400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.22512957 to 3 dps.\nAnswer: 0.225","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5696 = 5*a - 6*l + 5607, -3*a + 4*l = -55 for a.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/113 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (-4)\/3) + 145\/(-435)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*g**4 + 16305*g**3 - 2319955*g**2 - 8946630*g + 2381400 = 0.\nAnswer: -4, 1\/4, 189, 630","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -405*m - 50*m = 3784 - 42459 for m.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 665*n**2 - 176*n + 1185. List the prime factors of b(7).\nAnswer: 2, 3, 11, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 511033248 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.029 + 0.071. Is 1\/88 at most as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 - 18*m**2 - 86*m + 3. Calculate the remainder when 631 is divided by b(-10).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*r + 2 + 8 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2594*h - 3567 - 3624 - 13085 = -2475*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 1 + (-678 - -657)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.6124 * 146.2.\nAnswer: -89.53288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/(l*l*l**(-5)))*l*l*(l\/l**(-3)*l)\/l*l)**(-1\/24) assuming l is positive.\nAnswer: l**(-1\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -20, 0, -344?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000053048979 rounded to five decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 + 8*n**2 + 3*n + 3. Let o be p(-3). What is the highest common factor of o and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(160)*3)\/(2*sqrt(55)\/(sqrt(11) + (sqrt(11) - sqrt(99)))).\nAnswer: 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -773310 divided by -5\nAnswer: 154662","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k + 50 - 130. Let v(o) = o**3 - o**2 + o. Calculate the smallest common multiple of v(2) and k.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 59\/5 of a milligram?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - r = a + 20, -5*r = -a + 16. Put a, 4, -2 in ascending order.\nAnswer: a, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -63 + 9*j - 3*j + j**2 - 4*j. Let z be k(9). What is the greatest common divisor of z and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.8, -5, -10, 5, 0.2, -2, 651?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 362, 1447, 3256, 5789, 9046?\n\"Answer: 362*d**2 - d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times -366.043?\nAnswer: 109.8129","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3524*d - 2584*d - 10163*d.\nAnswer: -9223*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3052\/13 - -15234\/65. Sort -1, y, -2\/23, 0.015 in descending order.\nAnswer: 0.015, -2\/23, y, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29 is divided by (-2)\/12 + ((-525)\/(-18) - 7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8.1 - -9.32. Let r = t - 0.32. Which is the second biggest value? (a) 0.5 (b) -1 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 3:05 AM?\nAnswer: 12:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 10*u**2 + 7 + u - 3 + 10 + u**3. Let s be q(-10). List the prime factors of 2\/(s\/(-6)) - -42.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -79*23.\nAnswer: -1817","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8565 and 0.1.\nAnswer: -856.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(-210))\/(43\/1677)?\nAnswer: -13\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9947 + 9946.8. Sort 2\/17, 8, 1\/3, u, 0.05 in descending order.\nAnswer: 8, 1\/3, 2\/17, 0.05, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of -n**4\/12 + 3*n**3\/2 - 3*n**2\/2 - 36*n. Give s(6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + m = 7*g, 42 = g - 0*m + 4*m for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 543.389 to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 5, w: 3}. What is prob of sequence gww?\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3\/5 - 2*n**2\/5.\nAnswer: n**2*(n - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/1404 and 35\/324?\nAnswer: 4212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 79 + -124. Let a = x + 313\/7. What is the common denominator of a and (-3)\/(-4)*(-118)\/(-6)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 450*i**3 + 12*i**2 + 904*i**3 + 16*i - 451*i**3 - 5*i + 4*i to the form w*i**2 + a*i**3 + o + h*i and give w.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*(-1 - (-5 + 0)). Suppose 48 = -n + 61. Suppose -25 + 51 = n*a. Sort a, t, -4, 1 in decreasing order.\nAnswer: t, a, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the first derivative of -f**2\/2 + 26*f - 19. Give k(18).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 - 8*b**2 - b - 5. Let y be k(-8). Suppose 0 = -y*p + 18 + 12. Solve q + q = a + 2, -2*q + p = -5*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 181.\nAnswer: -1\/181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.86 + -0.8. Let y = 0.03 - 3.03. Put 2, y, w in ascending order.\nAnswer: y, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 7655?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/1380 and -49\/460.\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 6 = 3*g, -2*a - 2*g + 20 = -0*a. Let d be (0 + a)*3\/6. Let h be 4\/8*d - -1. Put -0.2, h, -0.4 in increasing order.\nAnswer: -0.4, -0.2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 25627 and 80542.\nAnswer: 563794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 s, and 1 z when three letters picked without replacement from {k: 2, r: 1, p: 2, z: 8, s: 2}.\nAnswer: 32\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 - 6*h - 17. Let a be v(8). What is the smallest value in -0.4, 1, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 26*i*u*z**2 + 3*i*z**2 - 2*u + z**2 - 38*z wrt i.\nAnswer: 26*u*z**2 + 3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yaieiiaeiaeaiaa. What is prob of sequence ia?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 174\/1392 - (-98695)\/8.\nAnswer: 13, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 198\/264*(-56)\/6?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + q + 30. What is the remainder when 27 is divided by q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooojjjyyjoyo. What is prob of sequence ooo?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 - 11*z**2 - 177*z - 1890. Calculate w(-11).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7670111 to the nearest integer?\nAnswer: 2769","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 13*j**2 - 20*j + 2405. Let r(g) = -4*g**2 + 6*g - 801. Calculate -3*i(b) - 10*r(b).\nAnswer: b**2 + 795","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 35 + -6. Let r(i) = i**3 - 26*i**2 + 57*i**2 - m*i**2. Let x(g) = -2*g**3 - 7*g**2 - 1. What is 7*r(a) + 2*x(a)?\nAnswer: 3*a**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 196324?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**2 - 12*p - 33. What is the units digit of c(21)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (86690 - 86690 - 146*k)*(-3*k**2 + 6*k**2 + 8*k**2)*(0*k**2 + k**2 - 2*k**2).\nAnswer: 1606*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -19*w**2 - 12*w + 12. Let h(t) = 45*t**2 + 30*t - 30. Let n(m) = 5*h(m) + 12*x(m). Calculate n(3).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 28940033?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 34*n**3 + 17*n**2 + 12*n + 6. Let c(s) = -11*s**3 - 6*s**2 - 4*s - 2. Determine 11*c(d) + 4*l(d).\nAnswer: 15*d**3 + 2*d**2 + 4*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 + -2 - 0) + 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1430883 to the power of 1\/3, to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 7*r + 15. Let x(u) = 20*u + 44. Determine 17*g(h) - 6*x(h).\nAnswer: -h - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21022001001101 + 2?\nAnswer: 21022001001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2*n - 12. List the prime factors of d(-12).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iafazassafaffsamf. Give prob of picking 1 i and 2 f.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -724134*k + 3*k**3 - 326*k**5 - 9 - 10 + 724193*k wrt k?\nAnswer: -6520*k**3 + 18*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 4:49 PM?\nAnswer: 4:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 111415?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 4*l - 5. Let k be w(7). What is the third derivative of -5 + 5*n**6 + 5 - 26*n**2 + k*n**2 wrt n?\nAnswer: 600*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -650*a**3 + 6*a**2 + 7*a + 20. Let s(f) = 433*f**3 - 4*f**2 - 5*f - 14. What is -7*s(y) - 5*x(y)?\nAnswer: 219*y**3 - 2*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-1\/3))**17)**(-36))**(-29) assuming d is positive.\nAnswer: d**(-5916)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in thirteen fifths of a gram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 11*u + 4 = -3, -4*p - 24*u - 16 = -0*p - 36*u for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -c + c - c + (-c + c + c)*(-1 - 2 + 1) - 17*c - 5*c + 3*c - 3*c + 5*c - c in the form g + b*c and give b.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(175) + (sqrt(175) + sqrt(175) + 2 + sqrt(175))**2 + 5) + (sqrt(112)*2 - (0 + sqrt(28) + -4))**2.\nAnswer: -6068 - 212*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -18898.8179 rounded to the nearest 10?\nAnswer: -18900","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 139 - 91. Calculate the highest common divisor of o and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 m when two letters picked without replacement from {k: 1, d: 1, c: 9, m: 1, x: 2, n: 1}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand v - 6*v + 3*v - v**4 + (120*v**3 + 7*v**2 + 2*v**4 - 82*v**3 - 8*v**2)*(-3 + 4 - 2).\nAnswer: -3*v**4 - 38*v**3 + v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lllqllqllqlllq. What is prob of picking 2 q and 2 l?\nAnswer: 270\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -765 - -492. Suppose 784 + 296 = 9*y. Find the common denominator of 31\/7 and (12\/(-20) - -1) + f\/y.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zlf when three letters picked without replacement from zlzllccfggflzgl.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (m - 5*m + 2*m)*(250 - m**2 + 166 - 147) in the form l*m + r*m**3 + o + h*m**2 and give l.\nAnswer: -538","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60\/108*((-12)\/10)\/(-2).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 562 is divided by 129.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 557 divided by -62\nAnswer: -557\/62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 2*p - 7*p + 780, 3*p = -4*y + 454. What is the common denominator of -1 - (p\/12)\/7 and -5\/28?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.06 - -0.56. Which is the third smallest value? (a) g (b) 1\/5 (c) -0.4 (d) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*j**2*v + 54*j**2 + 14384*j*v**4 - 26396*j + 406*v with respect to v.\nAnswer: -4*j**2 + 57536*j*v**3 + 406","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*u + 92*u - 560 = 0 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 3*h**2 - 4*h + 4. Does 8 divide w(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13 - 13. Suppose -j + 40 = 5*u + 4*j, g = -4*u + 3*j + 4. Calculate the common denominator of 54\/11 and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 5*b + 20. Let s(y) = -5*y - 21. Let g(p) = 3*k(p) + 4*s(p). What is the smallest common multiple of g(-6) and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, -22, -39, -56?\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 102*p. Let x(c) be the second derivative of -5*c**4\/12 + c + 166. Give q(x(r)).\nAnswer: -510*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 2\/228203?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14\/33 in -1, 0, 1008?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 AM and 8:01 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -2*b + 1. Suppose 0 = -4*o + 8*o + 12. Calculate z(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102 = -3*i + b, -64 = 7*i - 5*i - 2*b. Let a be (10\/i)\/(2\/(-56)). Solve a*y - 7*y = -4 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*w**3 + w**3 + 2*w**3 + 1 + w)*(33*w - 38*w - 44*w).\nAnswer: 98*w**4 - 49*w**2 - 49*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the third derivative of t**6\/120 + t**5\/30 + t**4\/24 - 2*t**3\/3 + 2*t**2 + 193*t. Calculate x(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 41 - 28. Suppose 0 = -4*c - 5*l + 77 - 14, -5*l - 56 = -3*c. Let v = c + -10. What is the remainder when k is divided by v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 - 3*u**2 + 3*u - 6. Let l be j(-4). Let b be 3 + 135\/(-21) - l*2. Factor -b*g + 2\/7*g**2 + 2\/7.\nAnswer: 2*(g - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the third derivative of 0 + 32\/3*t**3 + 0*t**4 + 0*t + 23\/105*t**7 + 0*t**6 - 68*t**2 + 0*t**5. Find the first derivative of r(q) wrt q.\nAnswer: 184*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1.892 and 0.04.\nAnswer: 1.932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 12539 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/((-3)\/15*-5). Put 0.3, 9, i in decreasing order.\nAnswer: 9, 0.3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-6)*(-22 + 25). Let n be (1 - v)\/(-10 - 572\/(-55)). Let l = 12 - 8. Solve 2*u + 0*u = 3*f - 1, -n*u + 32 = l*f for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -102*l - 58*l + 3360 for l.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*d = 13*d + 22*d + 722 - 957 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 973283.\nAnswer: 973283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, 10, 7, -2, -17, -38?\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 1.5 (b) -5 (c) -79 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -152 and -0.3?\nAnswer: 45.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of -8 - 3*a**2 - a**2 + 2*a**2 - a**4. What is the second derivative of y(f) wrt f?\nAnswer: -24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -18*j**2. Let f(i) = 6093*i**2. Determine f(s(n)).\nAnswer: 1974132*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.5305 to zero decimal places.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 7, -0.06, 2, 1, -1?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, -3, 55 in increasing order.\nAnswer: -4, -3, -1, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5397089 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12963 and 2167503.\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 50912 to the power of 1\/3, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 3*l**2 + 5 - 1 + l**3 + 1 + 6*l**2. Let j be b(-9). Solve -5*g - s + 3*s + 35 = 0, g = -j*s - 20 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 26, 53, 94, 155, 242?\n\"Answer: x**3 + x**2 + 17*x + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 71 * 1618863.\nAnswer: 114939273","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of -23\/3*j**3 - j - 34*j**4 - 89 + 0*j**2. What is the third derivative of o(m) wrt m?\nAnswer: -816","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2590280 and 700?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1746 and 4365.\nAnswer: 8730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 68857 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*r + 634 + 302 = 0. Which is the biggest value? (a) r (b) 0 (c) 18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k - 874*k**3 + 2*k.\nAnswer: -874*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -58 + 83. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4183 - 3883.3. Let z = o - 300. Are -21 and z non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**2 + 114568*p + 1488708.\nAnswer: 4*(p + 13)*(p + 28629)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 656\/72*(-1)\/2 - 19\/(-7 + 178).\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -102196*0.3.\nAnswer: -30658.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51 (base 14) to base 3.\nAnswer: 2122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-436)\/(-763))\/((18\/210)\/(-3)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 160 - 85. What is the remainder when h is divided by (-576)\/27*((-35)\/(-28) + -2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 0, -5, 7\/6 in increasing order.\nAnswer: -7, -5, 0, 7\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(2 + 2 + sqrt(1377) - sqrt(1377)) + (-2 + 2*sqrt(1377) - (sqrt(1377)*1 + 0)))**2*-6*-1.\nAnswer: 648*sqrt(17) + 8478","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(96)\/(sqrt(16)*-5))\/((6*-2*sqrt(72))\/sqrt(6)))*2.\nAnswer: -2 + sqrt(2)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2493144?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1585\/40 + (-60)\/(-160) - 9\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 175 and 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4066, 16174, 36350, 64594, 100906?\nAnswer: 145286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4913 - 1964. Is w a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -9343, -9302, -9165, -8884, -8411, -7698?\n\"Answer: 8*i**3 - 15*i - 9336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2861\/117 - -633\/26. Find the common denominator of -131\/2652 and g.\nAnswer: 7956","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 8*z + 100. Let r be s(-12). Let h be (-110)\/30 - r\/(-6). Which is the second biggest value? (a) h (b) 2\/13 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 1769*b + 704. Give r(-1).\nAnswer: -1065","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7112 + -4841. What are the prime factors of r?\nAnswer: 3, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -78*v + 52*v + 988. Solve -40*u + v*u - 4 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2394.4 times -0.3?\nAnswer: 718.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 divided by -7099?\nAnswer: 15\/7099","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 91229 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7*6\/21 - -2127 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a millimeter in micrometers?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3469729 to the power of 1\/2, to the nearest integer?\nAnswer: 1863","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -7*j**3 - j**2 - 2. Suppose -18 - 12 = -5*r. Let w(c) = -6*c**3 - c**2 - 1. Give r*w(i) - 5*n(i).\nAnswer: -i**3 - i**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2 + 21*j - 6. Let x be u(-22). Suppose -x*v = -23*v - 119910000. Round v to the nearest one million.\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -96*h. Let j(d) = 24*d**2 + 1109*d. Calculate j(l(k)).\nAnswer: 221184*k**2 - 106464*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 4*l + 8 = 0, -b + 4*l = 6. Suppose s - 25 = -3*r, 0 = -b*r - s + 2*s + 15. Let q(x) = 2*x - 4. Let z be q(3). Solve -z*c - r = 2 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18417*v**2 - 36902*v**2 + 18478*v**2.\nAnswer: -7*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*f - 23*f = 150. Let q(x) = -x - x**2 + 2*x**2 + 19*x**2 + 1. Let l be q(1). What is the greatest common factor of l and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*j**2 + 6*j**3 + j + 2*j - 4*j - 10*j**3 + 4*j**4 to s*j**3 + k*j**2 + l*j**4 + n + g*j and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -6. Suppose -2*t + 28 = -h, 4*h - 20 = o*t - 5*t. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*p + 565 = -821 for p.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of -l**6\/39 + 6*l**5\/13 + 41*l**4\/26 - 682*l**3\/13 + 968*l**2\/13 - 975. Solve r(j) = 0.\nAnswer: -8, 0, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109*l + 234 = -105*l - 2*x, -5*l = 2*x - 315. Sort 0, l, -3, 2.\nAnswer: -3, 0, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -3*r + 2*h, -60873*r + 60878*r = 4*h - 20 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -3005*y**2 + 26*y - 62. Let d(i) = 9015*i**2 - 80*i + 185. Let b(r) = -2*d(r) - 7*u(r). Is b(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (-1 + 6 - 0)) + 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 7, -30, -81, -152, -249, -378?\n\"Answer: -n**3 - n**2 - 27*n + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:22 PM and 11:38 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 33660 a multiple of 99?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -320 + -4?\nAnswer: -324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 5 (b) -2 (c) -17 (d) 72\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1254 and 114.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-10)*-7)\/((-144)\/96).\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*c = -5*n + 32, -46 = 2*n - 3*n - c - 3*c for n.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3956*k + 3922*k = 1020 for k.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one fifths of a decade in years?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.52 - 31.48. Let d = n + 34. Let w be (-12)\/105*42\/(-36). Which is the nearest to -3? (a) d (b) 3\/4 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 768 and 804.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -546*m - 444. Calculate o(-3).\nAnswer: 1194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*w + w**2 + 5*w)*(43*w - 8741 + 8741)*(-1 - 2 + 4).\nAnswer: 43*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 4*h + 19. Let y(p) = -2*p - 18. What is 4*k(g) + 6*y(g)?\nAnswer: 4*g - 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 101*g + 97*g + 26*g**2 + 90*g - 475*g + 95*g + 92*g.\nAnswer: 26*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 236976, 473233, 709490, 945747, 1182004, 1418261?\nAnswer: 1654518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 + (-3)\/(-2))*0. Suppose 20 = 2*d + x, j = 5*d - 4*x - 33 - 4. List the prime factors of d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1618 to 2 dps.\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -13221231003 (base 4) to base 12\nAnswer: -808943","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the third derivative of -247*r**7\/70 + 427*r**4\/24 + 997*r**2. Find the second derivative of d(z) wrt z.\nAnswer: -8892*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence brkr when four letters picked without replacement from {r: 6, b: 4, k: 4}.\nAnswer: 20\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes before 1:44 AM?\nAnswer: 8:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 + 11. Let t(d) = 4*d**3 - 2*d**2 + 1. Let q be t(i). Put q, -3, 0 in increasing order.\nAnswer: -3, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6134 + -18587\/3. Let n = d + 62. Let 0 - 2\/3*y + 1\/3*y**3 + n*y**2 = 0. Calculate y.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h. Suppose 0*l = -3*l + 21. Suppose l = -3*c + 10. Let o(v) = 0*v - 647636 + 647637 + 2*v. Give c*o(j) - p(j).\nAnswer: j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, 24, 89, 222, 447, 788, 1269, 1914?\nAnswer: 2747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k + 534 = -6. What is the greatest common divisor of k and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 4, x: 1, m: 9}. Give prob of picking 1 x, 1 m, and 2 j.\nAnswer: 54\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -6*y + 8*y. Suppose 2*k + 10 = y*x + 6*k, k = x + 7. Let c(p) = -93*p - 6. Let q be c(x). Calculate the greatest common divisor of q and 72.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.5 or -2239222?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -529, -4196, -14141, -33502, -65417?\n\"Answer: -523*n**3 - n**2 - 3*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14 - -17. Suppose -15 = -k*x + 174. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - r, -3*q = -2*q - 3*r. Let p be (q + -4 + 6)*-7. Let b = 16 + p. Solve -3*y - b*f = 5, f + 4 = -0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000227 rounded to seven dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -40380 - 109?\nAnswer: -40489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/((-5)\/(-4)))\/((-990)\/(-15)).\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -ac6579 (base 13) to base 11\nAnswer: -232a769","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -3*d + 5, 2*p - 5 = 5*d - 2*p. Let n = d - -5. Suppose 2*q + 2*q = n. Solve q*x - 3*x - 12 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 - 8*b**2 - 6*b - 2. What is d(-7)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1114928, -2229855, -3344782?\nAnswer: -4459709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -219 + 215. Which is the closest to 8.2? (a) -5 (b) 3 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81289*u = -81231*u + 58. Let j be 2\/45*(-9)\/219. Do j and u have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -3*p**2 - 36*p. What is k(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 13) in base 2?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5.08 + 0.08. Let a = 16 + k. Let v = a + -10.999927. Round v to 5 dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(((m*m**(1\/3))\/m)\/m))\/(m*m**(-6)*m))**(15\/8)\/((m*m**0*m)**(-15\/4))**32 assuming m is positive.\nAnswer: m**(2005\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12043 - 0?\nAnswer: -12043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/24*(-13 + 8). Let v be (-2)\/5*(-10)\/(-6). Which is the closest to v? (a) 1 (b) 0 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 16*n = 0. Solve -2*i - 3*i - 25 = n for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(-1)*f*f)**7*((f\/(f\/(f*f**(2\/3)*f))*f)\/f*f)**(-40)*(f**7*f\/f**(-5\/3)*f)**(-18) assuming f is positive.\nAnswer: f**(-932\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 7, 0, 0.5, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24, -22, -20, -18?\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-4425)\/649 + 14\/2)\/(-1)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 + 11. Let z(b) = -b**2 + 5*b - 2. Give z(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/7 + 65\/35. Let r(l) = l**2 + 2*l - x*l**2 - 1 - 3 + 10*l. Calculate r(12).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3242.\nAnswer: 2, 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 213355 (base 6) to base 12.\nAnswer: a25b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 34801 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -8400.44129 to the nearest 100.\nAnswer: -8400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4224 by 10.\nAnswer: -2112\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.04 and -1.2662.\nAnswer: -0.050648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 105 divide 2835?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5552 and 31880972.\nAnswer: 1388","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 26\/5 of a kilogram?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000029296 rounded to 7 dps?\nAnswer: 0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of u**4\/54 - 4*u**3\/27 + u**2\/3 + 6*u. Solve v(i) = 0 for i.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 132 by -20361.\nAnswer: -4\/617","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 PM and 3:54 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3431 - -2?\nAnswer: -3426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2124 divided by -1062?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 17*f**2 - 4)*(4 - 2 + 9*f**2 - 11*f**2 + (6*f**2 - f**2 - 3*f**2)*(-1 + 2 - 3)).\nAnswer: 102*f**4 - 34*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1840 and 575?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30299270 and 18?\nAnswer: 272693430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 + 6. Let m be (i*(-5 - -3))\/2. Suppose s - 4*y - m = -3*y, -11 = -2*s + y. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.4 - -3.4. Let s be 22\/55 + 21\/(-40). What is the third biggest value in 3\/2, s, l?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n**3 - 15*n**3 - 4*n**3.\nAnswer: -20*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 728\/(-130) - (-3)\/9 - -5.\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -31 + 30.79. Let m = 0.72 + w. Let q = m + -0.01. Sort q, 0.1, -0.4 in increasing order.\nAnswer: -0.4, 0.1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 217*i - 10 + 7 + i**2 + 719*i.\nAnswer: i**2 + 502*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1020 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12471 - -12535. Solve -12*w + n + 20 = 0 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r + r - 3*r + 7*r.\nAnswer: 7*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 5*-2.9\nAnswer: -14.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3071077131 to the nearest integer?\nAnswer: 1454","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 5*o**3 + 2*o**2 - 2. Suppose 0 = -4*x + 6*x. Suppose x = -q - 11 + 9. Let v(t) = 85*t**3 + 35*t**2 - 35. What is q*v(h) + 35*y(h)?\nAnswer: 5*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 + 2*n**2 - 3*n - 1. Let q be m(-3). Sort q, 3, 4.\nAnswer: q, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 139*m**4 + 2*m**3 - 21*m**2 - 5 wrt m.\nAnswer: 3336*m + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 22789*d**5 - 383*d**2 + 12*d - 1.\nAnswer: 1367340*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2910 - -54. Is g a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 329.7 and -2.\nAnswer: -659.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 4*q - 5. Let u(i) = -18*i. What is the least common multiple of u(q) and 14?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 2*j = 3*z - 7, 5*z = 2*j - 1. Let l be -3*3\/(-36)*z. Which is smaller: 1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -22*o - 23. Suppose w + 4*p = 3 + 2, p = 2*w + 17. Is z(w) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - -4203?\nAnswer: 4203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4992*m + 20334 - 99687 = -7670*m + 123239 for m.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-16)\/(-28) + (-95)\/7. Let n = 20 - j. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 273 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 6, 4*d - 788 - 2222 = -3*k. What is the lowest common multiple of k and 6539?\nAnswer: 13078","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 + 11*k**2 - k - 13. Let a be h(10). Suppose -a = -4*q + 3*q. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yoy when three letters picked without replacement from yoy.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -5567 (b) 0.1 (c) -2\/13 (d) -1 (e) 1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 2389.546 tonnes?\nAnswer: 2389546000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 17*v + 1 + (-3 + 3 + 2)*(-4*v + 16*v + 10*v) to the form l + m*v and give m.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25.9999918 - 26. What is p rounded to 6 dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 3 = -a, 0 = -4*v + 2*a + 6 + 12. Suppose 20 = 2*r + 16. Differentiate -4 + 0*m**2 + 3*m**r - 3*m**2 + v*m**4 wrt m.\nAnswer: 8*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 283*s - 268*s = 154335. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 365 + -370. What is the fourth biggest value in 117, -1\/7, -1, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1156 and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*w - w + 2*v + 20, -2 = v. Let u(o) = -12 + 11 - 4 + 2*o + 92. Calculate the remainder when u(-20) is divided by w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 4 - (-260)\/(-224))\/(294\/(-343)).\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-2\/13)\/(c\/c**20) assuming c is positive.\nAnswer: c**(245\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 PM and 9:32 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 66276 (base 8) to base 3\nAnswer: 1102012001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 94.95 - 95. Which is the second biggest value? (a) -0.3 (b) 3 (c) l (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/8272870 and 11\/755349.\nAnswer: 173730270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(1\/4)\/((234\/13)\/468).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -15460 to the nearest one thousand.\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 352735826*a**3 - 14733460*a**2 - 4 - 5734172*a**2 - 1845081883*a**3 + 2722481550*a**3 + 15672*a + 7680106971*a**3.\nAnswer: 4*(1306*a - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79177 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lblklkxlknkk. Give prob of picking 1 x, 1 k, and 1 n.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*l - 29*l - 270 = -48*l. Solve -4*h = 2*n - 0*n + 4, -3 = l*h + 2*n for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -732799 (base 13) to base 14.\nAnswer: -5006a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -689091.\nAnswer: 68909.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-137)\/(-3) - (-2)\/6. Let f = -48 - -97. Suppose -2*d + 3*o + 47 + 14 = 0, -f = -3*d - 4*o. What is the greatest common divisor of d and p?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4824700 + -0.0097.\nAnswer: 4824699.9903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 415*c**2 - 245*c**2 - 200*c**2 - 21 wrt c?\nAnswer: -60*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 0 + 4)*(2*u + u**2 - 2*u) + 317*u**2 - 3190 + 3190 + 2*u - 2*u - 2*u**2 + (-4*u + 6*u - 3*u)*(3 - 3 - 2*u) - u**2 - 1 + 1 - 4 - 2*u**2 + 4.\nAnswer: 313*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x\/(x**24*x))\/x)\/x)\/(x**(-11)*x))\/(((x\/(x*(x**27*x)\/x*x*x))\/x*x)\/x**(-27)) assuming x is positive.\nAnswer: x**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5063\/246 - -188\/41. What is the common denominator of -83\/18 and c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 227662000 to the nearest integer?\nAnswer: 611","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - 25. Let c = 52 + f. Does 5 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57103264.\nAnswer: 2, 127, 14051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lku when three letters picked without replacement from kkukzkkklukukkk?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -9*y - 2. Let w be (-55)\/(-5) - (-4 - -9). Let g(z) = -w - 2*z - 14 + 21 + 3*z. Let b(c) = -5*g(c) - u(c). Let o(k) = -k**2. Determine b(o(i)).\nAnswer: -4*i**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2939184 is divided by 2939172.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/21, -2\/7, -1\/9, 1\/10 in descending order.\nAnswer: 1\/10, -1\/9, -5\/21, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*d = -3*x - 48*d - 1, 3*x - 5*d = 35 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14254 - 8453. What is the tens digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2064472?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 2*m + q - 4*q, 0 = 5*m - 3*q - 25. Let n be (3*4\/(-240))\/(-1)*m. What is the third smallest value in -1\/2, n, -0.2, 1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*n**3 - 3*n**2 + 1 - 5*n**2 - n**2)*(-6 + 2 + 2) to d*n**3 + p + b*n**2 + h*n and give b.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 3)*(29*s + 45*s - 24*s)*(11 + 3 - 6).\nAnswer: -400*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -218, -2\/5, -1 in ascending order.\nAnswer: -218, -1, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 108\/7 - 15. What is the second biggest value in b, -1, 4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 206699 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4612 - 179911\/39. Let f = 10\/13 + r. Let g = 1262\/7 - 180. Which is the nearest to g? (a) 4 (b) f (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 4*w - 26381, -u = 2*w - 3*u - 13186. Let c be (w\/(-9))\/(2024\/9). Let f = 2\/253 + c. Find the common denominator of 107\/20 and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -4*t**3 - 7*t**2 + 13. Let r(l) = l**3 + 3*l**2 - 5. Let n(i) = 4*o(i) + 13*r(i). Let g(v) = 5*v**3 - 17*v**2 + 20. Give 5*g(j) + 8*n(j).\nAnswer: j**3 + 3*j**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -45 by 1234.\nAnswer: -45\/1234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 494773?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9752 + 1064. Suppose -2*k + 4*k + 5410 = 2*c, 2*k = 4*c - s. Suppose -2*v - j - 405 = -1488, 5*v - 2*j = c. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a litre in millilitres?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 635771774 to the nearest integer?\nAnswer: 25215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3840.1 + 3840. Which is the nearest to -0.2? (a) -1 (b) 6\/19 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 68.712 - 69. Let o = 0.205 + p. Round o to 2 dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 10*30\/(-2850) - (172\/(-190) + 1). Let g be (2\/(-6))\/((-6)\/(-54)). Sort g, 2\/93, a.\nAnswer: g, a, 2\/93","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3818 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1694291 at least as big as -1694300?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21 - -2321130201333?\nAnswer: 2321130201312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jh when two letters picked without replacement from {h: 1, b: 2, j: 2, i: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-14)\/(-259) + (-561)\/111. Put 0, w, 5, 51 in ascending order.\nAnswer: w, 0, 5, 51","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -210 - 2160 = -3*q. What is the tens digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5673762 divided by 6.\nAnswer: 945627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 4*t = 21. Suppose t*k - 5 = 7. Solve -k*f = -3*f + 3 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 337 = 338?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 3*s**4 - 3*s**3 - 78*s**2 + 252*s - 216 = 0.\nAnswer: -6, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/6)\/((-294)\/3150*25).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + -1. Let h = -0.09 + 0.19. Let v = -0.3 - h. What is the third smallest value in v, -5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19561?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q - 13. Let d be z(-9). What is the remainder when 57\/21 + d\/(-14) is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - 0*w + 16. Find the first derivative of 2 + 3*r**4 - 3*r**4 + 0 + 2*r**w wrt r.\nAnswer: 8*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 - 5*b**2 - 5*b + 3. Let h be f(6). Let w = h - 7. Suppose n - 77 = w*r, -4*n = n + 5*r - 310. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 307 divide 245311?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 124624?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 120.55638 at most as big as 3\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16.8 + -18. Let l = t - -1.06. Let n = -0.13939 - l. What is n rounded to four dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/16280 and 55\/3552.\nAnswer: 195360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -h + 6*h + 13, -4 = h. Suppose -z*j + 4*j + 6 = 0. Differentiate -3*a - a - 4*a + j + 2*a wrt a.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.067? (a) 0.5 (b) -15 (c) 2\/3 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 - 11*m**2 + 15*m + 316. Calculate the remainder when l(9) is divided by 219.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5863 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(210)\/sqrt(6))\/sqrt(5) + (sqrt(7) + 2 + sqrt(21)\/sqrt(3) + sqrt(7) - (5 + 1*sqrt(7))).\nAnswer: -3 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*a**4)*(0 + 2*a + 0) + (5*a**3 - 4*a**3 - 3*a**3)*(-2*a**2 - a**2 + 4*a**2).\nAnswer: -6*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000251646 rounded to 5 dps?\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8622.\nAnswer: 2, 3, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -5*l + 6*l. Find the second derivative of 2 + l*s - 3 + 1 - s**2 wrt s.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*w - 538 = 982. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 f when three letters picked without replacement from {e: 12, f: 1}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pypy when four letters picked without replacement from dddjdddypidjdypdjpyd?\nAnswer: 1\/3230","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(700) + 1) + 5)**2 + 1*-4*sqrt(700) + sqrt(700) + -1)*6.\nAnswer: -900*sqrt(7) + 37818","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 111752 and 488.\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5736 - -5764. What is the remainder when ((-56)\/35)\/((-2)\/170) is divided by v?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 4, i: 6}. What is prob of sequence siss?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q**2 + 0 + 0)*(2 - 2 - 3*q**2 + 2*q**3).\nAnswer: -6*q**5 + 9*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129*l - 30 = 124*l for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*w**2 - w**2 + 5*w**2 - 6*w**2.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (8 + -10 - ((15 - 23) + -27)).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6296843 to the nearest integer?\nAnswer: 2509","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 - 12*i + 21. Suppose -2*n = -14 - 8. What is the remainder when (-2)\/(-3) - (-158)\/6 is divided by d(n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52.593 rounded to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 2*q + 1161 = 0. What is the tens digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28946.1 minutes in microseconds?\nAnswer: 1736766000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(27) - (-5 + sqrt(189)\/sqrt(7)))*6.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4164, -4215, -4278, -4359, -4464, -4599?\nAnswer: -4770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1446363996 to 5 dps.\nAnswer: -0.14464","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - m + 10, -3*q + 2*m + 1 = -2*q. Suppose -3*j = q*j. Is -48 greater than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c + 3*c - 2*c)*(0 + 1 + 1)*(0 + 1 - 7).\nAnswer: -12*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 - 5*s**2 + 2*s + 1. Calculate the remainder when o(-6) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.2 (b) 0.5374 (c) 8 (d) -0.1 (e) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 155\/516 and 27\/10.\nAnswer: 2580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/2432377 or 22?\nAnswer: -2\/2432377","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:09 AM and 2:53 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/56 and 24\/91.\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 - z**3 - 5 + z**2 + 2 to i + u*z**2 + h*z**3 + d*z and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.29 + -0.01. Let p = 26.3 - 33.3. Let n = 7.4 + p. Sort b, n, 0.5 in decreasing order.\nAnswer: 0.5, n, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -5702 (b) 0.14 (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11618453, -46473814, -104566083, -185895260, -290461345?\nAnswer: -418264338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -0*l + 42. Suppose 5*u + 5 = -35. Let d = 19 + u. What is the remainder when l is divided by d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, -1158, 2\/9, 2\/11, 2, 2\/15 in descending order.\nAnswer: 2, 1\/2, 2\/9, 2\/11, 2\/15, -1158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (93\/(-279))\/((476\/(-42))\/(-17)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -18448, -42169, -65890?\n\"Answer: -23721*a + 5273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 7:42 AM?\nAnswer: 1:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 51*u + 2 - 35*u + 59*u - 30*u + 67*u to x + a*u and give a.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -102012100 (base 4) in base 14?\nAnswer: -1d02c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 12*b**2 - 110*b + 174. Determine d(7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2087439, -2087452, -2087465?\n\"Answer: -13*j - 2087426","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 157451 a multiple of 83?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5413*g**3*p**4 + 339238460*g**3 - 1448*g*p**4 wrt p.\nAnswer: 21652*g**3*p**3 - 5792*g*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(187)*3 + sqrt(187)))\/(sqrt(704)*-6)*-1.\nAnswer: sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -243*i**2 - 33*i + 5. Let j(o) = -o**2 + 8*o - 2. What is 4*j(h) + u(h)?\nAnswer: -247*h**2 - h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 150 and 41450.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 279071*r**2 + 4*r. Let c(n) = -n. What is c(u(p))?\nAnswer: -279071*p**2 - 4*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -50334695162117 less than -8?\nAnswer: 50334695162109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -5*f - 6, -2*k - 9*f + 4 = -6*f. Let x(v) = 179*v + 50. Let y be x(k). Calculate the greatest common divisor of y and 51.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 + -3 - -3) + -5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-648)\/(-42) - 3\/7. Let g be (-200)\/6*(-9)\/6. Let y = g + t. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3903 + -21?\nAnswer: 3882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1083 - 135 = -536*h - 2862 - 6396 for h.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 44\/12*((-4)\/(-2) - -1). Let y(f) = f - 3*f - 19 + t*f - 8*f. Let j be y(23). Solve 0 = j*a - 6*a - 4*i - 10, 5*a - 5*i = -25 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3267230*r**5 - 2*r**3 - 44*r**2 - 187110 wrt r?\nAnswer: -196033800*r**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2387)\/49 - 6\/21. Let f = o - -100. What are the prime factors of f?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of -x**4\/3 - 2*x**3\/3 - x**2\/2 - 59*x. Let i(t) = -3*t**2 - 4*t - 1. Determine 5*f(m) - 6*i(m).\nAnswer: -2*m**2 + 4*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**2 + 8*b - 6. Let t be g(8). Let c be ((-4)\/t)\/((-2)\/(-6)). Solve 0*y - c*y = -2 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 30 = 5*k. What is the lowest common multiple of k and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/192 and -7\/552128?\nAnswer: 1656384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 28 + 11?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ipq when three letters picked without replacement from piqubqe.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 4*m + 1 - 2*m + 5. Let b be v(-6). Let a(y) = 42*y**3 - 6*y**2 + 2*y. Let s be a(b). What is s rounded to the nearest 1000?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 7\/4 of a tonne?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = 11*y - 18. Let h be (-5 + (y - 0))\/(-2). Put 21, -5, h in increasing order.\nAnswer: -5, h, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09 times 1.7?\nAnswer: -0.153","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - 3*q + 320. Is q a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.27 - -1.23. Let n = g + -3.2. What is the nearest to -30 in -5, n, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0015649831 rounded to 5 dps?\nAnswer: 0.00156","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -2*p. Let s(q) be the second derivative of q**6\/144 - q**4\/6 + 3*q. Let u(f) be the third derivative of s(f). Determine z(u(a)).\nAnswer: -10*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 709*r = 908*r - 4449 - 1720 for r.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 186672.2627 to the nearest 100.\nAnswer: 186700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 0.2 (b) 4 (c) -3 (d) -2\/13 (e) 331 (f) -14 (g) 29\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 2*l = 12. Let t be (-2 + 3)\/((-3)\/l). What is the third biggest value in -4, t, 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = 2*v - 10, -19694*b + 19693*b = -v + 5 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 4*n - 2. Let s be b(3). Calculate the common denominator of (-43)\/s*20\/24 and -119\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/10 + (-2)\/5)*2. Put 23, q, 5, -4 in increasing order.\nAnswer: -4, q, 5, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 PM and 5:04 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 9*w**2\/4 - 2807157*w\/4 + 467859\/2 = 0.\nAnswer: 1\/3, 311906","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 21353 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1821221 and 2059.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a millennium in years?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 691*z**5 - 2*z**3 - 461*z**2 + 4 wrt z.\nAnswer: 41460*z**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2281\/7 + 40715\/126. Find the common denominator of x and (-79)\/(-42) + 0\/3.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 223, -571, -6 in increasing order.\nAnswer: -571, -6, 223","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -629290 rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 106073147 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 + 963\/(-21) - -24.\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-5))\/(8\/(-20)) + (-135)\/35?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**2 + 8*i - 7. Let y be 1 + 4 + (4 - 3). Let k be c(y). Let m = -5 + 3. What is the closest to m in 3, k, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12*15\/9*(-20)\/50\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 4, -1, 6 in decreasing order.\nAnswer: 6, 4, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**2 - 9*h - 10. Let k(b) = -b**3 + b**2 + 3*b + 2. Let j be k(3). Let o be z(j). Differentiate 0*v**3 + 0 + o*v**3 - 3 with respect to v.\nAnswer: 12*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, n: 2, e: 1, o: 2, s: 2, q: 1}. What is prob of sequence ess?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-131)\/2)\/((99\/2277)\/(4\/(-46))).\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*l**2 + 5*l**2 + 16 - 4*l**2 - 5*l**2.\nAnswer: -4*(l - 2)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/(16\/((-256)\/(-16))).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**2 - 19748*b - 157728.\nAnswer: -4*(b + 8)*(b + 4929)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5605?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/11 in -0.4, -1\/2, -71?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.0608673 - -0.05581. Round f to 5 dps.\nAnswer: -0.00506","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 0.15, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -443 by -32806.\nAnswer: 443\/32806","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -63599.5 rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 3*w + 15 = -0*u, 4*u - 6 = -3*w. Suppose 2*j + u*j = 115. Solve -3*q + 4*p - 21 = 0, 8 - j = -5*p for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131*a + 2*l = -137*a + 24, -64 = 10*l + 26 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 238060\/13 equal to 18311?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*t**2 - 10*t**2 - 4*t**2.\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -14 or -1240?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 547*c - 3*c**2 + 13*c**2 - 5*c**2 - 588*c - 7*c**2.\nAnswer: -2*c**2 - 41*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 29362*f**2 - 14728*f**2 + 13*f**3 - 14634*f**2 + f**3.\nAnswer: 14*f**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/6 - 180\/(-216). What is the second biggest value in -4, k, -5\/9?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2388\/(-14))\/(-3) + (-10)\/(-70). Solve 2*o**3 + 14 - t + 16*o**2 + 2*o - 41 = 0.\nAnswer: -7, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -673, -1114, -1555, -1996, -2437, -2878?\n\"Answer: -441*b - 232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*z + 5*y - 4, 2*y - 29 + 25 = 2*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of -289\/20*g**5 - 251\/2*g**2 - 8 + 0*g**4 + 1\/6*g**3 + 3*g. Find the first derivative of i(p) wrt p.\nAnswer: -867*p**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0010663 to five decimal places.\nAnswer: 0.00107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1115.08153 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -338, -680, -978, -1220, -1394, -1488, -1490?\nAnswer: -1388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(-10) + 60\/25. Suppose c*v = v + 14. What is the highest common factor of v and 112?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*h - 331*h - 5200 = 0 for h.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 86531 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 + (-6)\/9)*3\/(-14). Let w = 2 + 2. Sort b, -3\/7, w in increasing order.\nAnswer: -3\/7, b, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1971 is divided by 489?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6495341?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 21*c + 12. Let p be x(-4). Let a be (0 + p\/30)*10\/3. What is the remainder when (12*a\/30)\/((-2)\/10) is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -9*v**2 + 15*v + 30. Let m(r) = r**2 - 4*r**2 + 7*r - 2*r**2 + 4 + 11. Let d(l) = -11*m(l) + 6*u(l). Let i be d(-12). Solve -j - 2 = -i for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2048515386.\nAnswer: 2, 3, 341419231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 63224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1\/865 - 25079\/5190. Let c = 7\/212 - -14269\/4452. Calculate the common denominator of c and l.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42592 divided by 176?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -7*f**2 + 5*f + 2. Let i(b) = 20*b**2 - 16*b - 7. What is 2*i(z) + 7*w(z)?\nAnswer: -9*z**2 + 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1395537*k*w**3 + 2*k*w**2 - 11601280*k - 2*w**2 wrt w?\nAnswer: -4186611*k*w**2 + 4*k*w - 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1872) - (-2 + sqrt(1872)) - (sqrt(13) + -1*sqrt(13) + 0))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*i)*(141 + 108 - 57)*(3 - 6 + 1).\nAnswer: 768*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 5677.449 centimeters?\nAnswer: 56774490","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -525277 * -0.14.\nAnswer: 73538.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3573873 - 5*u - 3573873.\nAnswer: -5*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 4*d = 0. Let b(q) = -q + d*q - 3 + 1. Let m(y) = 3*y + 5. Suppose -i - 10 = -6*i. Give i*m(w) + 5*b(w).\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*u + 0*u - 2*u - 6*u in the form q + b*u and give b.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7 + -2 - 5 - -239?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 1:27 PM?\nAnswer: 3:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of 90*q**7\/7 + 456*q**6\/5 - 7077*q**5\/20 + 637*q**4\/4 + 343*q**3 + 800*q. Find i such that s(i) = 0.\nAnswer: -7, -2\/5, 0, 7\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 1060 = -2*z - 3*g, 2*z = -g + 520. Suppose 6*o - z = 110. Calculate the greatest common divisor of 341 and o.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.0632 in 3, 3\/5, 5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24 - -7) + (93 + (7 - -12) - 15)?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2895, -1.1, -14, 22, 1\/5, 0.1 in decreasing order.\nAnswer: 22, 1\/5, 0.1, -1.1, -14, -2895","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5400)\/800)\/((-18)\/9*6\/16)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 54 - 41ba?\nAnswer: -4166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 734139?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 122112213111 + 3?\nAnswer: 122112213120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 0 + 4 = 0. Suppose u*c - 25 = -5. Let g = -6 + c. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -308, -1237, -2780, -4931, -7684, -11033, -14972?\n\"Answer: t**3 - 313*t**2 + 3*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u*u**(-1\/17)*u)\/u)**21\/(u*u**(-3))**(-30) assuming u is positive.\nAnswer: u**(-327\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.5674568ng?\nAnswer: 0.0000000000000005674568","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -913 = 4*y - 4*c - 901, -4*y - 10 = -2*c for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 1 + 16 + 29 + -38.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - 1.5. Let q = -1.03 + 0.93. Suppose -5*d + 3*k = -22, -d + 2*k - 5*k - 10 = 0. What is the closest to d in 3\/7, p, q?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 618237?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/7)\/x)**(-7)*((x*x**(-2\/67))\/x*x)\/x*x\/x**(-1\/12)*x assuming x is positive.\nAnswer: x**(5671\/804)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -334, 1, -1 in increasing order.\nAnswer: -334, -9, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of -3\/2*b**3 + 0*b**2 + 2*b + 0 - 1\/12*b**4. Is u(-7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 3*u - 4*u. Let h = 448 - 232. Let g be (4\/6)\/(16\/h). Solve u*j + g = 2*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -4*t + t - 2*s, -4*t + 34 = -3*s. Suppose 2*c = t - 0. Let n(f) = -f**3 - 4. Let u be n(0). Sort u, 3, c in ascending order.\nAnswer: u, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 64443 and -0.5?\nAnswer: -32221.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-6) - 1452\/(-36). Factor 3*x**2 + 278*x + r + 7*x**2 - 2*x**2 + 0*x**2 - 110.\nAnswer: 2*(x + 35)*(4*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 186146327 to the nearest integer?\nAnswer: 571","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56522147 = -70*q + 18165683. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 476?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 45 + -43. Suppose -h*o = 4*a - 98, -9*o + 127 = 5*a - 5*o. Calculate the remainder when 45 is divided by a.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1101, 0.016, -5, 2\/25?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3610 + -1851. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2596 and 26832256.\nAnswer: 26832256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, -1, 4, 10 in ascending order.\nAnswer: -5, -2, -1, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**3\/4 + 915*j**2\/4 + 7761*j\/4 - 11048679\/4.\nAnswer: 3*(j - 93)*(j + 199)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84) - 2*sqrt(84))*-1 - 6*-2*sqrt(84))\/(sqrt(24)\/(sqrt(6)\/sqrt(3)) + 2*sqrt(108)).\nAnswer: 13*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*m**2 + 5*m**2 + 3*m**2 + 3*m - m + 99 + m**3 to the form v + o*m + t*m**3 + g*m**2 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 632?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*b = 169 - 259. Solve -10 + 19 = -b*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -564 + 564.3. Let k = -10.8 + 11. Which is the second smallest value? (a) q (b) -4\/5 (c) -3\/2 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36973 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0217756 rounded to 3 decimal places?\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from lhlhllhhlllhlhhhhlhl.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(13) - sqrt(26)\/sqrt(2)*-5).\nAnswer: 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2223.\nAnswer: 3, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.9, 4, 278.\nAnswer: 2.9, 4, 278","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(1\/20)\/o)\/(o**(-10)\/o)*(o**(2\/21))**(-14) assuming o is positive.\nAnswer: o**(583\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 6*x. Let h(m) = m + 5 - 5 - 1. Let c(p) = -3*p + 2. Let u(i) = 2*c(i) + 5*h(i). Let y(t) = 3*t + 6. Let r(k) = -6*u(k) - y(k). Give r(o(q)).\nAnswer: 18*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*n + n + 2*n - 14*n - 1 + 5*n + 140*n**3 to the form v*n**2 + l + a*n + q*n**3 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 122 - 17. Let f = r - 105.1. Let s = 211\/45 - 24\/5. What is the third smallest value in -1\/2, s, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20628046 is divided by 3504.\nAnswer: 3502","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -666*r. Let k(y) = -762350*y. What is k(g(w))?\nAnswer: 507725100*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/3 (b) 0.211 (c) 2\/5 (d) -0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -66*k - 63. Give x(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41571\/3576 + 52\/(-32).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 32 - 29. Solve -4*s - h = -19 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 573444 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 163*o + 210. What is the tens digit of d(11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13199790 and 549.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 24510337 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) -34.8 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/(-4)*(-8)\/6. Let t be -3 - ((-6)\/u - 14). Suppose 4*v + 2*k - t = 22, -5*v = -2*k - 51. Calculate the highest common factor of 9 and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7.5 and -166.\nAnswer: 1245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 - v - 2. Let q be f(-2). Let n(y) = -y**3 + 4*y**2 + 3*y - 6. Let r be n(q). What is the tens digit of 63\/6*8\/r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -3*b - 1 + b + 0*b - 6*b**2. Let c be u(-1). Sort c, 1\/4, -2\/3 in descending order.\nAnswer: 1\/4, -2\/3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 40 and 1140?\nAnswer: 2280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 16 (b) 5\/3 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 83 = v, 0 = 19*v + 20*m - 22*m - 1451. Calculate the remainder when v is divided by (-6 - -5)\/(1\/(-20)).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 322*v**2 + 4 + 7*v - v**4 + 3*v**3 - 1 - 11*v - 320*v**2 - v in the form a*v**3 + g + p*v**2 + j*v + d*v**4 and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 3727*o + 7446. Determine v(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 286720 and 320?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (((-140)\/(-15))\/7*24)\/2. Let q be 2\/((-6)\/(-21)) - (g - 11). Factor 0 + 15\/7*r**4 + 0*r + 12\/7*r**q + 24\/7*r**3 + 3\/7*r**5.\nAnswer: 3*r**2*(r + 1)*(r + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58740.77205 rounded to the nearest 1000?\nAnswer: 59000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 40\/(-15)*(2 + 52\/(-8)). Which is smaller: y or 21\/2?\nAnswer: 21\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.2, 4, -2\/353 in decreasing order.\nAnswer: 4, 0.2, -2\/353, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 545 and 872.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + 120?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 2187*l**5 - 7694352*l**4 - 5985603*l**3 - 760152*l**2 + 168912*l = 0.\nAnswer: -4\/9, 0, 1\/9, 3519","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a millennium in months?\nAnswer: 1125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-182*v - 670*v - 189*v)*(-5*v - 2*v + 5*v) to x*v**2 + k + l*v and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2033826551\/555 + 3664542. Let t = -2685 - -298019\/111. Let p = r - t. What is the common denominator of p and 71\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -152 - -152. Suppose 8*u + 5*t = 9*u - 126, -3*t - 9 = g. What is the greatest common divisor of u and 185?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*x + 27*x = -120. Solve x*q + 36 = 12*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - 2. Let u = l + 0. Sort -0.5, u, 3 in ascending order.\nAnswer: u, -0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 3 g when four letters picked without replacement from eeoegeeeeeeeeg.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 685?\nAnswer: 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 9, n: 1, k: 5, r: 1}. What is prob of picking 1 n and 1 c?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*l + 0*l - l)*(l - 3*l + l) + 3145*l - 3145*l + 2*l**2 + (-1 - 2*l**2 + 1)*(-1 - 2 + 1) + 0*l**2 - 3*l**2 + l**2 as h + a*l**2 + d*l and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, -31, -38\/7?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51854 is divided by 78?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3857?\nAnswer: 7, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2*t - 21. Determine g(10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(85) - (sqrt(85) + (-4*sqrt(85) - sqrt(85))) - sqrt(85)) + sqrt(85))\/sqrt(5).\nAnswer: 5 + 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of -5*x**4\/12 - 14*x**3\/3 + 59*x**2 + 1. Calculate the remainder when v(-16) is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1494931?\nAnswer: 23, 64997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/10111 at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 71786 and 160523?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2 - 59*w - 770. Let x be v(70). Solve t + 36 - 39 = x, -t = -4*c - 23 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 24 = -0*b. Is b at least 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 + 8*d**2 + 7*d + 14. Let i be z(-7). What is the highest common divisor of i and 154?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.6104616 rounded to three decimal places?\nAnswer: -3.61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -176966, -353279, -529604, -705947, -882314, -1058711?\n\"Answer: -h**3 - 176306*h - 659","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -46 - ((-98)\/(-3969)*9)\/(2\/(-54)).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 2*l**2 - 8*l - 34. Determine s(-6).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(2\/(-4))*1\/(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 30\/44903 and 40\/79527.\nAnswer: 6600741","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 2*x = -4206, 3386 - 566 = 2*h - 4*x. What is the least common multiple of h and 24?\nAnswer: 2808","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes before 9:22 PM?\nAnswer: 5:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of 2 + 1\/5*r**5 + 0*r**2 + 0*r + 0*r**4 + r**3. Find the third derivative of x(o) wrt o.\nAnswer: 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 72 and 2952.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**2\/2 + 8943*m\/2 + 26775.\nAnswer: 3*(m + 6)*(m + 2975)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 - -31. Let k = -46780 + 46956. What is the greatest common factor of d and k?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7924 + 7922. What is the closest to d in -4, -1, 13, -0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**3 - 1880*d**2 + 7436*d + 9320.\nAnswer: 4*(d - 466)*(d - 5)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-80)*420\/2205\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from prqrprqp. What is prob of sequence qp?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9409 a factor of 230865972?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 107 - 107.86. Let u = -0.59 + b. What is u rounded to 1 decimal place?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 219033628.\nAnswer: 2, 11, 89, 55933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 29 - (-33 - (137 - 70))?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/6 - (3741\/(-18) - 1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + 1 + 1. Let s = 2 - j. Solve 0*w = -w + s for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -177028 divided by -2\nAnswer: 88514","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -5c0 (base 13) to base 11\nAnswer: -830","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40028572 divided by 4.\nAnswer: -10007143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 103892231?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-4*3))\/(3\/(-2)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1786 + 1682.3. Let x = c + 97. Round x to 0 dps.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 41854\/272 - 1\/(-8). Which is smaller: x or 153?\nAnswer: 153","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/12)\/((-2)\/(-168)). Suppose -1 = 3*s - 3*p - x, -5*s = p - 15. Calculate the remainder when 5 is divided by s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(88)\/(sqrt(96)\/(sqrt(60)\/sqrt(5)))*-5.\nAnswer: -5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than -81495?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110020201 - 20020?\nAnswer: 110000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + 154041102?\nAnswer: 154041105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -848 = -2*k - 840 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (46*l + 31*l - 64*l)*(-2 + 5 - 11*l**2 + 40*l**2).\nAnswer: 377*l**3 + 39*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11716088 is divided by 2929022?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and 2.5.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from {p: 7, r: 2, y: 4}.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16 - -9. Let l(r) = -r - 2. Let d be l(a). Suppose -3*s = -6*s + 4*v + 20, -d*s = -3*v - 37. Calculate the smallest common multiple of s and 7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -3*b**2 - 1776*b + 262842. Let i(o) = o**2 + 1. Let w(g) = -6*i(g) - n(g). Determine m so that w(m) = 0.\nAnswer: 296","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1990*r + 142*r**2 + 4274*r + 474*r**2 - 28 - 2168*r + 296*r**2 = 0. Calculate r.\nAnswer: -1\/4, 7\/57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or -5023.95?\nAnswer: -5023.95","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 12, 0.1, 195.44, 0.2, -0.064?\nAnswer: -0.064","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 3*l - 15 = 0, 0 = 3*g + 3*l + 2*l + 25. Suppose 2*r - 24 = w, -3*r + 5*w = -g - 50. What are the prime factors of r?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*b + 4 - 4 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -0.62646.\nAnswer: 1.62646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-1*(-64)\/(-6))\/(22\/(-330)) and 15.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 123, 261, 425, 615, 831?\n\"Answer: 13*x**2 + 99*x + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -86939? (a) -1\/6 (b) -5 (c) -94\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 - 12 = 4*m. Let u be (5\/10)\/(2\/52). Let l = u - 20. Sort -5, l, m in ascending order.\nAnswer: l, -5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5604*z - 2 + 14576*z + 13674*z + 2 - 315*z)*(2*z**2 + 3*z**2 - 2*z**2) to the form u*z**3 + j*z**2 + s*z + d and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 12130 + -2571?\nAnswer: fbbf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4545 (base 6) to base 13.\nAnswer: 647","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, -440, 18, -2, -9.\nAnswer: -440, -9, -2, -1, 2, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -155950, -311897, -467844?\nAnswer: -623791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x - 3. Let s be p(-7). What is the units digit of ((-8)\/(-10))\/(s\/(-50))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of -p**6\/360 - p**5\/24 - p**3\/3 + 3*p. Let u(i) be the second derivative of v(i). What is u(-6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -526, 4, 595, -4 in decreasing order.\nAnswer: 595, 4, -4, -526","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 9*m - 6. Let s(h) = 18*h - 11. What is 4*s(c) - 7*t(c)?\nAnswer: 9*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(-10)*t**3*t*t**(-7)\/(t*t\/(t*t\/(t\/(t*t\/((t*t\/(t\/(t**(-9)\/t*t)))\/t))*t)*t)*t*t))**(-40))**(-18\/11) assuming t is positive.\nAnswer: t**(11520\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*q**3 + 2*q - 7*q**3 + 0*q - 7*q wrt q.\nAnswer: -12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 7.266134ml?\nAnswer: 0.007266134","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -785.003 + 788. Let v = -0.003 - r. What is the closest to 0.1 in -1\/3, v, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -4*b - 1, -b - b = -2. Suppose 0 = -4*j + 3 + 9. Suppose -f*v + 2*i + 115 = -0*i, 85 = 4*v - j*i. What is the remainder when 74 is divided by v?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kv when two letters picked without replacement from cvcvckcsvc?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 32*f**5 + 3037840*f**4 - 53169166*f**3 + 269084940*f**2 - 319030848*f + 109382400 = 0. What is f?\nAnswer: -94950, 3\/4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.1 + 1.48. Let x = u - 2.3. Let o = x - -13.52. What is o rounded to 0 decimal places?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-50)*2)\/(-1)*30?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 - 46*a**2 + 1706*a - 616. Determine m(24).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + r - 2)*(-2*r**2 - 2*r**3 + 2*r**2) + 6*r**4 - 2*r**3 + 2*r**3.\nAnswer: 4*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 711120 and 2955?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18345562*n**2 + 7 + 18345569*n**2 - 2*n**4 + 145 to the form u + d*n**2 + p*n**4 + s*n + w*n**3 and give u.\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 - 5*p**2 - 4. Let g be z(-5). Is 5 a factor of g\/6 - 64\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 8:35 AM?\nAnswer: 6:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -35 + 35. Let m = -1.6 + 2. Which is the closest to -3\/8? (a) h (b) m (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - -1344203?\nAnswer: 1344210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 747446?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -4*p - 20, 144 = 4*f + 4*p. Suppose 9*m = 5*m + f. Suppose 0 = m*j - 6729 - 4481. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-9)*(-9)\/12*-2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of -c**5\/240 - c**4\/32 - c**3\/12 + 7*c**2. Find k, given that w(k) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 89*c**2 - 65*c - 216. What are the prime factors of t(-10)?\nAnswer: 2, 13, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - -12021?\nAnswer: 12012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(45)\/((sqrt(81) - 3*sqrt(81))\/sqrt(9)).\nAnswer: -sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11448419 to the nearest integer?\nAnswer: 3384","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 29943*r + 209570. What is w(-7)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6180\/(-120))\/103*(-12)\/1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -222*t**5 - 326*t**5 - 617*t**5 + 412*t wrt t?\nAnswer: -23300*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 1 - 2, -4*n + 94 = 2*h. Let x = 1659 - 16573\/10. What is the common denominator of h and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2 + 11*h + 5. Determine v(11).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 961.5036t?\nAnswer: 961503600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-16)\/24 - (-2)\/3. Suppose t = -0*h - 2*h + 32. Is 5 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a centimeter in millimeters?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*o = 799461 - 255244. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.118442 times -2\nAnswer: -0.236884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -0*m + 2*m - 5*c, 0 = -2*c + 10. Suppose 4*i + s - 152 = 88, -m*s + 175 = 3*i. What are the prime factors of i?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -2*f - 2*f + 83, -f = -5*l - 15. Is 20 at most as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 6*w = -12, 6*b - w + 205743 = 205710 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1698 a factor of 327982284?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 2 (b) -1\/5 (c) -348\/65 (d) 5 (e) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7574*d**2 + 6 - 15092*d**2 + 4*d + 2*d**3 + 7552*d**2 to the form s*d**2 + q*d + w + c*d**3 and give s.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 24 = -4*v, -5*v - 6 = -h - 0*h. What is the remainder when 24 is divided by h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.03 + -2.33. Let w = 0.6 + -1.3. Let z = l + w. Sort -0.1, z, -5.\nAnswer: -5, z, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -175338, -350816, -526292, -701766, -877238?\n\"Answer: i**2 - 175481*i + 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 15420*n**3*w + 22*n**3 + 197*n**2 wrt w?\nAnswer: 15420*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 - -5. Let w(m) = m**2 + l + 0 - 2. Suppose 3*s + 5*v - 10 = 0, v + 0*v = -3*s + 2. Calculate w(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 319 is divided by 112?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of -r**3\/3 + 483*r + 1614. Let o(u) = -3*u. Give o(m(d)).\nAnswer: 3*d**2 - 1449","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21 - 21. Solve 0 = -q*f + 4*f + 12, 0 = -u + 3*f + 14 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.09 (b) -4 (c) 4\/3 (d) 49\/3 (e) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 8, y: 1, r: 4, b: 2}. What is prob of picking 1 r and 1 y?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 113 to the power of 1\/4, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 + 6*f**2 + 10*f - 69. Let j be a(4). Let n = -5 + 4. Is (4\/(1 + j) - 14)*n a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2231580*a**3 - 7036682.\nAnswer: -6694740*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 29, 3, 5, 4, 9, -145, 2 in increasing order.\nAnswer: -145, 2, 3, 4, 5, 9, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 350, 358, 366?\nAnswer: 374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -30\/11 and -22\/65275?\nAnswer: 718025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1.18 * -4\nAnswer: -4.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - z - 20 = 0, z + 45 = w. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = -26*r + 29*r for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + v - 3)*(-10 - 691 + 393 - 1333) to m*v + q and give m.\nAnswer: -1641","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(64)*1 - sqrt(64))\/(sqrt(80)\/(-2*sqrt(10))))\/(sqrt(176)\/(sqrt(44)\/(sqrt(64) - sqrt(4)))).\nAnswer: -4*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xuxuuxx. What is prob of picking 2 x?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 19*l - 125. Determine t(6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 48315?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6.59 and -1511.\nAnswer: -9957.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 13 + 6\/(1 - 2). Solve -k - n = -3 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 434 = k - 4*z - 221, 15 = 5*z. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 148162*l + 148061. Calculate u(-1).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((0 + sqrt(19))*-5 - sqrt(19))**2.\nAnswer: 681","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a meter in millimeters?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + -37 + 24 + -6 + -1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 90.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42334 is divided by 396.\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 602, 591, 566, 521, 450, 347, 206, 21?\nAnswer: -214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 58 - 55. Suppose s*l + l = 320. Calculate the greatest common factor of l and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and -0.016.\nAnswer: 0.016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 7) to base 8\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 2\/5 (c) -30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - -7)\/((-3)\/(-9))*-1. Let i be (-1*105)\/(k\/40). What is the greatest common divisor of i and 75?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2 and 57.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 82 + 38. Suppose 0*q + l = 4*q. What is the least common multiple of q and 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = i - c + 24, c - 4 = 0. Let g be (486\/(-8))\/((-1)\/i). Let v = -154 - g. What are the prime factors of v?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -513 (base 6) to base 14.\nAnswer: -d7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gdgge. What is prob of sequence gged?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 3 + -6*-1*sqrt(7) + -3 + (-1 + sqrt(448) + -2 + sqrt(448) + 1 + 2)**2.\nAnswer: 6*sqrt(7) + 1789","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 143*b + 66*b + 223*b - 133*b + 292*b.\nAnswer: 591*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1140 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.86563 - -1.87. Round v to three dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3684, -14740, -33166, -58962, -92128?\nAnswer: -132664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 137647 and 931624502?\nAnswer: 931486855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 11 + -14 + (-45)\/20 + 5. Are -483 and d equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 882481 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-168)\/(-35))\/((-230)\/575)*-38*2\/(-16)?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 876698835.\nAnswer: 3, 5, 43, 1359223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 4 - 2 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -12*a. Let l = 44 + -34. Suppose -5*p = -x - 8, 5*x + 4*p + l + 1 = 0. Let v(q) = -4*q. Give x*g(f) + 8*v(f).\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -28 - -28. Suppose g = -5*b - 24 - 361. What is the units digit of (b\/(-28))\/(2\/8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/220*1680\/105?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2668*j - 2668*j + 3 - 38*j**2)*(-6 + 2 + 2) to g*j + k*j**2 + y and give k.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5490 + -2573. What is the hundreds digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*j**(-1)*j)*j**(2\/5))**(-7\/5) assuming j is positive.\nAnswer: j**(-14\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9641984 - -3521984. What is t rounded to the nearest one hundred thousand?\nAnswer: -6100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 + 10*z**2 + 2. Let n be j(-10). Let f(q) = -7*q**3 + 3*q - 4*q**3 - 2*q**2 + 12*q**3 + 4 - n. What is the tens digit of f(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 4*g**3 - 60*g**2 - 3354*g + 50306. What is o(15)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + 1c?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9029 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1\/(-1)*(-70 + -1) is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 62159 and 66307?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 - 31*b**2 - 3*b + 79. Let w be l(31). Let s = -4853\/385 - -2\/385. Which is bigger: w or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.1211 + 0.0994. What is b rounded to two dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -60, -116, -172, -228, -284, -340?\n\"Answer: -56*w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*s - 91*s**2 + 10*s + 94*s**2 - 2*s as n*s + w*s**2 + j and give n.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -160*f - 236.\nAnswer: -160","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 621?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 2*a**2 - 42. Let l(w) = -464*w + 229*w + w**2 + 235*w. Determine l(b(c)).\nAnswer: 4*c**4 - 168*c**2 + 1764","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*k + 5*k - 2*k - 6*k.\nAnswer: 7*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2\/205, -0.3, 0.4, -9\/10 in ascending order.\nAnswer: -5, -9\/10, -0.3, -2\/205, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 10, l: 9}. Give prob of sequence ff.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 7752, 7750, 7748?\n\"Answer: -2*x + 7754","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2 - 11*g - 14. Let q be k(-10). What is the common denominator of 110*(0 - (-1)\/q) and -95\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/5 - (2\/(-5) + -2). Is 15\/7 bigger than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 579?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 35, -101, 1, -3, -2 in descending order.\nAnswer: 35, 1, 0, -2, -3, -101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - t - 1)*(-1 + 1 + 1)*(0*t**4 + t**4 + 2*t**4).\nAnswer: -3*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 65438 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.02? (a) -2\/121 (b) 2812 (c) 6\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 508739570?\nAnswer: 2, 5, 50873957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*y + 3*y + y)*((-3 + 2 - 1)*(y - 4*y + y) + 8 - 8 + 9*y - y + 4*y - y + (3 - 7 + 3)*(3*y - 2*y - 3*y)) in the form k + m*y + n*y**2 and give n.\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -876925 divided by 125?\nAnswer: -35077\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -6*a + 48. Calculate y(14).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (535 + 340 + 86)*(3*k - 2*k - 2*k).\nAnswer: -961*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.4 + 0.1. Let a = -0.5 + 0.3. Let k = a - -0.1. What is the closest to k in j, -5, -4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 651*a + 478*a + 1175*a + 326*a + 1070*a as w*a + n and give w.\nAnswer: 3700","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 - 14*u + 14. Let i be v(3). Which is the fourth biggest value? (a) i (b) -32 (c) 1 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4960\/176)\/(-31)*11\/(-4)\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13*f**2*n**3 - f**2 + 26*f*n**6 - 250*f*n**2 wrt n.\nAnswer: -78*f**2 + 3120*f*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, j: 2, b: 2, w: 1, z: 2, t: 3}. What is prob of picking 1 w and 2 b?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3684445*n**2*p**2 - 3*n**2*p + 45815725*n**2 - n + p**2 wrt p.\nAnswer: -7368890*n**2*p - 3*n**2 + 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10349 and 110205.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ammrrzxrrmxa. What is prob of picking 2 r?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + 3*f - 20. Let o = -409 - -426. Calculate the remainder when o is divided by f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 780\/135 - (-2)\/9. Let l(q) be the second derivative of -4\/5*q**5 + 16\/15*q**w + 0 + 0*q**2 + 1\/6*q**4 + q + 0*q**3. Suppose l(o) = 0. Calculate o.\nAnswer: 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3265503232*l - 3265503232*l - l**3 - 8.\nAnswer: -l**3 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 36.571 rounded to 1 dp?\nAnswer: 36.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*t**3 + 5*t - 4*t**2 + 4*t - 11*t = 0. Calculate t.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*r - 3*r. Suppose r = 2*t - 5 - 5. Solve -t*s = 14 - 34 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 17 - 18 - (-4 + 0). Let z be 0 + l + -1 + -3. Let q be 73000\/(-5)*z*5. What is q rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.75 + 1.07. What is g rounded to one decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*h**3*m - 4126*h**2*m**2 + 3*m**2 + 82*m - 8 wrt h?\nAnswer: -6*h**2*m - 8252*h*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32 and 3954216?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -7*g + 12. Suppose -231 = -5*o - 21. What is the greatest common factor of o and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 0.04, 2, -1\/2, -43047 in increasing order.\nAnswer: -43047, -1\/2, 0.04, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -w - 1. Let a = -2 + 2. Put w, a, -4 in increasing order.\nAnswer: -4, a, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -133, -276, -417, -556?\nAnswer: -693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 11, u: 9}. Give prob of sequence uub.\nAnswer: 11\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 15 (c) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-7)\/2114)\/((-1)\/(-1506)) + (7 - 2). Sort -0.1, n, -1\/2 in decreasing order.\nAnswer: n, -0.1, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -5*d. Let t(x) be the first derivative of 259 + 0*x - 97\/2*x**2. What is h(t(s))?\nAnswer: 485*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(-2) + (-12)\/(-8). Suppose a*n = 6 - 30. Let v(t) = -t + 2. Does 4 divide v(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69544332 a multiple of 4212?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -324642424, -324642421, -324642418, -324642415, -324642412?\nAnswer: -324642409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4689 - 19305 = 774*u for u.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 34*p + 579. Suppose -5*i - 595 = -510. What is b(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 199 divided by 66\nAnswer: 199\/66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 314*k - 104*k = 104 - 104 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*b - 1712 = -51*b. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000091271 rounded to seven decimal places?\nAnswer: -0.0000091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**4 + 430132*n**3 - 430128*n**2.\nAnswer: -4*n**2*(n - 107532)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 - 18*s**2 + 39*s - 14. Determine w(-20).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 + w. Let p(y) = 5*y**2 + y + 5. Let o(l) = -4*m(l) - p(l). Let f(t) = -t**3 + 6*t**2 - 5*t - 4. Let z be f(5). Give o(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 3*o. Let t be x(-1). Let c = t + 5. Suppose -4*r = 5*d - 215, 3*d - 5*r = -c*d + 215. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2\/4 + 35*k\/2 - 36.\nAnswer: (k - 2)*(k + 72)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -532.9 + 533.3. What is the fourth biggest value in 3, s, -4\/5, 116?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -140733*i + 703671. Determine x(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 110 + (-5 - -22 - 36) + -4 + (-2 - 3).\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 2*m. Let v(o) = 5*o - 188. Calculate 3*a(n) + v(n).\nAnswer: 11*n - 188","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 49.46 rounded to 0 dps?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.4, 3.4, 0.5, -862, 5\/4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 650*q - 9*q = -329*q - 88*q + 111090 for q.\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.4 - -801?\nAnswer: 802.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of c**5\/20 + c**4\/6 - c**3\/3 - 3*c**2\/2 - 9*c. Determine f(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*r + r**2 - r**4 - 6147 + 6147 + 2*r**3 in the form q*r**3 + p*r + m*r**2 + x*r**4 + b and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -74*j**2 + 2*j + 1. Let w(z) = -z**2. Calculate 6*w(f) + x(f).\nAnswer: -80*f**2 + 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 7:46 AM?\nAnswer: 1:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-2))**(7\/5))**6\/(u**(3\/4)\/(u*u*u**(-2))*((u\/(u\/(u*u*u\/(u*u**(-5\/2)))))\/u)\/(u\/(u\/(u\/u**(-6))))) assuming u is positive.\nAnswer: u**(-281\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1389 - 8*o + 1389.\nAnswer: -8*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*a + 5. Let u(p) = -30*p. Let k be u(a). Let s = k + -418\/7. What is the closest to s in -2, -1\/2, -4\/5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6321.\nAnswer: 3, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -6036925, -12073859, -18110793, -24147727, -30184661?\n\"Answer: -6036934*m + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -3*x**3 - 41*x**2 + 3147*x + 41232. Determine w(-13).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ecql when four letters picked without replacement from {d: 4, c: 1, l: 6, q: 2, e: 2}.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 29*l - 678. What is i(32)?\nAnswer: 250","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 311332, 311332, 311318, 311284, 311224?\nAnswer: 311132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1280172 (base 12) in base 3?\nAnswer: 20212102112112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 71, 354, 635, 914?\n\"Answer: -k**2 + 286*k - 214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/((-3)\/2)*39\/6. Suppose -2 - j = -5*m. Solve 3*q + 1 = 2*c, -4 = -m*q + 5 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/5, 41\/5, 25607?\nAnswer: 25607","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.5783499 years in decades?\nAnswer: 0.05783499","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -719 + 719 + 2757*p**2 + 13551*p**2 in the form i*p**2 + x*p + k and give i.\nAnswer: 16308","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-4 - -1) + -2 + 3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 486 = q, -2*l + 2557 - 153 = 5*q. Suppose -2*s = -6528 - q. What is the tens digit of (-16)\/(-20) - s\/(-20)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 8 + 78. Does 15 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (((sqrt(96)*2)\/sqrt(8))\/((sqrt(576) - sqrt(576)*1) + sqrt(576))*-5)**2 + -4.\nAnswer: -47\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -6*l + 10. Suppose l*p = 4*j + 22, 4 = p + 3*p + 2*j. Let n(v) = -v + 4. Let k be n(p). Calculate the greatest common divisor of k and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 56916385?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -19 - -13 - (2 - (-2 + -1)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*1*(-1157)\/(-31239)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 + 3*z - 2. Let b be y(1). Let v(l) = -1 + 3 + b - 5 + l. What is v(-6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 + 4*c**2 - 6*c - 2. Let j be v(-5). Let s(n) = -69*n - 273. Let t be s(-4). Calculate the greatest common factor of j and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1526311?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 z when two letters picked without replacement from sssszssstssssbs?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2044328 take away 12609.1?\nAnswer: -2056937.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 219c + 1a6?\nAnswer: 2342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 50 + 155 = 0. Let x(o) = -o**3 - o**2 + 7*o. Let v be x(-3). Let b be 72\/l + v\/7. Solve -b*r - 16 = r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2125*u = 1737 + 3474 - 1791 + 17830 for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6337 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 235607 + 185654. Let b = 7586171\/18 - q. Let k = b - 193. Which is smaller: 0 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - f + 8, 0 = 2*r - 2*f + 4*f. Let l be (-156326)\/32 - r\/((-8)\/(-6)). Let k = l - -4880. What is the common denominator of k and 11\/18?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1090, 4\/7, 0.019, -1, -0.3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2 + 17*g - 3. Let f be r(17). Let v(o) = -2*o - 1. What is v(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.079092km to meters.\nAnswer: 79.092","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -10*(-4)\/(-24) - -2. Let t(n) be the first derivative of 5\/4*n**4 + 0*n - r*n**3 + 0*n**2 - 3. Find the third derivative of t(z) wrt z.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 743 at most 744?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 62220347 and 490.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 3*k - 245 + 15, 5*s - 613 = -2*k. Calculate the smallest common multiple of 121 and s.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/((-29)\/(-116)*2).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*3.8\nAnswer: -0.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 17 = -33, 5*o - 4*r = -31 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 327 + 7\/((-28)\/(-8)). Suppose -5*h + f + 1451 = 0. What are the prime factors of h?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12420343 (base 7) to base 11.\nAnswer: -702857","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 22*r**3 + 57*r**2 + 27*r + 2.\nAnswer: (r + 2)*(2*r + 1)*(11*r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18 and 1998.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -13*m. Let a(w) = 53*w. Calculate 2*a(g) + 9*o(g).\nAnswer: -11*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23 + 2. Suppose 0 = -5*c - 3*z - 246, 4*z = -4 - 4. Let h = f - c. What is the highest common divisor of 3 and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2516 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 206311 divided by 7.\nAnswer: 29473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z. Let c(j) = 303*j**2 + 48*j - 12 - 304*j**2 + 12. Give m(c(v)).\nAnswer: -v**2 + 48*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 786, 1603, 2422, 3243, 4066, 4891, 5718?\n\"Answer: g**2 + 814*g - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -483.133 rounded to 0 decimal places?\nAnswer: -483","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -2*p**3 + p**3 + 5 + 5*p - 3*p**3. Let t(b) = -2*b**3 + 3*b + 3. Determine 5*t(d) - 3*x(d).\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158309 is divided by 429.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.034 - 0.044. Which is the third biggest value? (a) 7 (b) p (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 2*c - 2 = 0, 0 = -r + 5*c - 6*c for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 848195.3nm in millimeters?\nAnswer: 0.8481953","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-2*(-2 + sqrt(125)) - -6*(sqrt(125) - (sqrt(125) + 1 + sqrt(125)))) + 1.\nAnswer: -40*sqrt(5) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35 divided by -293676.\nAnswer: 35\/293676","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1205460 and 294668.\nAnswer: 13260060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 4*z + 12. Let r be (1 - -5) + -7 + 9. Solve 4*u + r + z = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 + -9 + 19 - (4 - -1 - -33)?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8965, -8962, -8955, -8944?\nAnswer: -8929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 3*r**4\/5 + 297*r**3\/5 - 5676*r**2\/5 + 27648*r\/5 - 22272\/5 = 0.\nAnswer: -116, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 3) in base 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -5*r + 2. Let m be ((-10)\/(-4))\/(3\/r). Suppose 5*q = 4*q + 5*z + 9, 0 = -m*z - 5. Which is smaller: q or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.43 + -0.13. Put k, -3, 3 in descending order.\nAnswer: 3, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 32869*o**3 + 8*o**2 + 2*o - 7. Let x be z(6). Let u be 1 + -4 - (x - 0). What is u rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a + a - 6*a)*(2*a**2 - 1 - 1 - 4*a**2).\nAnswer: 8*a**3 + 8*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -235363*n + 235491*n - 7808 for n.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -7842 (b) -0.4 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7 + 15*y - 24 + 28)*(3 - 3 + y**2) to t*y**2 + o + u*y**3 + s*y and give t.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 180\/(-150)*(-11)\/(176\/280)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1066\/7 + 152. Suppose 4*u = -11 + 3. What is the closest to -3 in -3, t, u?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6418473 is divided by 79.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, q: 2, a: 2, r: 1, g: 2}. What is prob of sequence ag?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -662?\nAnswer: 662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30, 48, 62, 72, 78?\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 - -26. Let n = -35 - -32. Let t be (-182)\/4*(1 + n). Calculate the highest common divisor of t and v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 - 9*o - 127. Let h be c(18). Let f be 4\/(-98)*h\/(-15). Factor -2\/21*m + 0 - f*m**3 + 4\/21*m**2.\nAnswer: -2*m*(m - 1)**2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = 3*q - 8, -6*q + 5180 = -12*i + 5234 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 38\/5*(-70)\/(-28). Solve -w = -5*h + 6, -h = 5*a - 5 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 149934.\nAnswer: 2, 3, 24989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 13 = j + 5, 2*j = z + 4. Suppose -z*h + 3*r = -201, -h + 0*r = -r - 49. Is 14 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -74.092452 rounded to zero dps?\nAnswer: -74","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18 + 18.4. Let a = -0.07 - -1.07. Let m = a - 8. Is c > m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14791 by 14791.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 plus -4200.5?\nAnswer: -3548.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.1, 141, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t + 20. Determine x(-14).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2299)*2)**2 + sqrt(19) + sqrt(114)\/sqrt(6) + 5.\nAnswer: 2*sqrt(19) + 9201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iqo when three letters picked without replacement from {o: 1, c: 6, t: 2, j: 2, i: 4, q: 4}.\nAnswer: 8\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) -34 (c) -2 (d) -1.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6611444933 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -5*24\/9*((-51)\/30 - -2). Let d = 3\/229 - 2299\/687. Which is smaller: a or d?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7431879 is divided by 1857965?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -162878665, -162878668, -162878671, -162878674, -162878677?\n\"Answer: -3*j - 162878662","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -43 + e3?\nAnswer: a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2538 divided by -6500\nAnswer: -1269\/3250","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 4*s - 12, 4*n - 3*s = -99 + 113. Solve -3*f = -4*d - 27, -f + 5*d - 6*d = -n for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 528, -3 in ascending order.\nAnswer: -3, 4, 528","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (38\/836)\/(-2 + -4 + 7)\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-106)\/2)\/((102 - 90)*(-8 - 194\/(-24))).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of -4*j**4\/3 + 252*j. Let a(t) = 3*t**2. What is p(a(l))?\nAnswer: -144*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l - 7*l - 10*l + 20*l - 3*l.\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 116 (b) -4944 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-2*sqrt(1617) + sqrt(1617) - sqrt(1617))\/(sqrt(27) + (sqrt(27) - (sqrt(3888) - sqrt(3888)*1))).\nAnswer: -28*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -1149.214?\nAnswer: 344.7642","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2*w**2 - 6*w + 4. Suppose 4228*y = 4229*y - 54. What is the lowest common multiple of k(4) and y?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, r: 5, o: 6}. What is prob of picking 3 o?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.311 - 4.07. Let y = -1.241 + u. Let s = -0.3 - -1.3. Which is the nearest to y? (a) s (b) 20 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*b + 23*b - 12*b + 10*b**3.\nAnswer: 10*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(9)\/sqrt(3) + (sqrt(3) + sqrt(21)\/sqrt(7))*-3.\nAnswer: -5*sqrt(3) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1562 to the power of 1\/2, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 w when two letters picked without replacement from kwkssoaswoaww?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (594\/(-36))\/(24\/(-16)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/14)\/((-15)\/35)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2506 + -2498.702. Let k = 0.298 - f. Which is the biggest value? (a) k (b) 0.1 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 114681379 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 1384430 to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 2621*r - 6 + 2 - 5941*r - 7*r**2.\nAnswer: -7*r**2 - 8562*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * -0.2989.\nAnswer: -0.05978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4803 is divided by 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -119*j - 156. Let h(o) = -60*o - 78. Let r(s) = 3*d(s) - 5*h(s). What is the units digit of r(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 - 15 = 8*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -127*z. Let p(c) be the first derivative of 0*c + 0*c**2 - 1\/3*c**3 - 32. Determine o(p(r)).\nAnswer: 127*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 + 66*n**2 + 178*n + 369. Calculate k(-63).\nAnswer: 1062","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.17 - -0.1699364. Round c to 6 decimal places.\nAnswer: -0.000064","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.296 + 0.004. Let t = j - 2.2958. What is t rounded to 3 dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*h + 5*a - 14, 2*a = -4. Sort -8, 0, h.\nAnswer: -8, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - i)*(0 - 2 + 0) - 17325 + 345*i + 17325 - 3*i + 5*i + 0*i.\nAnswer: 349*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41.1 - 33.\nAnswer: -74.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 + 4. Suppose 0 = 4*b - 6*b - 2, 2*p + g = -2*b. Let l(o) = -o + 2. Give l(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (51*b**3 + 0*b**3 - 3*b**3)*(2*b - 2*b - 2*b).\nAnswer: -96*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 34642 + 6?\nAnswer: 34648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 799.3671 months?\nAnswer: 0.66613925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -69 - -99. Let q = 32 - k. Solve t = 2*h, t + 3*h - 9 = -q*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 at least 779?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 16238670.55 rounded to the nearest 1000000?\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes before 5:44 AM?\nAnswer: 12:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4324?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**2*z**(-3\/5))**18*(z*z**(-2\/15)*z\/(z**(-3\/4)*z))**(-1\/23) assuming z is positive.\nAnswer: z**(34679\/1380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: -2 * 5.8\nAnswer: -11.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -3 + -4 + -1 + -3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1969 - -1915) + 19 + -1 - -127?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7863802?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14211?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**10)\/s**(-19))**12 assuming s is positive.\nAnswer: s**360","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 74 - -37. What is the lowest common multiple of 27 and c?\nAnswer: 999","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 - 5*u**2 + 5*u - 1. Let a be b(4). Let t(v) = 3 - 4*v - v**2 + 2 - 3*v - 4. Let l be t(-6). Solve o + 2*w - 20 = l*w, 0 = -4*o - a*w - 12 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h - 647 + 1937 - 649 - 641.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -2*m**2 + 237*m - 1142. What is n(5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1239*s + 621*s + 620*s.\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2362 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 233, 477, 721, 965?\n\"Answer: 244*x - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24428*c + 3710*c - 19743*c.\nAnswer: -40461*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -236 - -2a2?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 684453.4 meters in kilometers?\nAnswer: 684.4534","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 3. Put 4, -3, k, -4 in increasing order.\nAnswer: -4, -3, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23311 divided by 28356.\nAnswer: 23311\/28356","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d + 1. Let l(r) = -r**3 + 19*r**2 - r + 23. Let k be l(19). Let b be -7 - -16 - k\/((-16)\/(-12)). What is p(b)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y - 7. Calculate z(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/8)*d*(d**(-6\/11)\/d)\/d*d**0*d**(2\/7))\/(((d*d*d**(1\/3)*d)\/(d\/(d**0\/d)))\/((d*d**(-2\/3)\/d*d)\/d)**(-1\/24)) assuming d is positive.\nAnswer: d**(-14915\/5544)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -17, -62, 5, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -7704011 (base 8) in base 6?\nAnswer: -112142505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-9)\/(3\/(-12)*3). Suppose 0 = 4*s - k, 3*s = 5*i + 4*s - 18. Find the first derivative of -2*a**3 - 1 + 0*a**3 + i wrt a.\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -3*f**3\/5 + 19921*f**2\/5 + 379582*f\/5 = 0.\nAnswer: -19, 0, 19978\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = t - 6*t - 3*w, 2*w - 8 = 4*t. Suppose t = -2*f - 3*f + 15. Suppose 14*k = 11*k + 12. Put f, k, -4 in decreasing order.\nAnswer: k, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/47, 0, -1\/4, 4, -4, -0.03 in descending order.\nAnswer: 4, 0, -0.03, -2\/47, -1\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.07 - 0.37. Let u = -1.7 - -0.3. Let k = u - -1.8. Which is the second biggest value? (a) -1 (b) k (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - (-5)\/(-5)) + -1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 236 + -77. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 52392 and 14356?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 10*f - 6*f - 12 = 0, -2*f - 10 = -5*r. Let t be r\/4 - (-2 + 0). Solve t*w + 3 = 2*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 + 120*u - 1300. Determine w(-130).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 AM and 12:37 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, -24, -3, -1\/7 in descending order.\nAnswer: 5, 2, -1\/7, -3, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 4 + 3)*(0 - 2 + 1)*(6970459*c**2 + 13717*c**3 - 6970459*c**2)*(-3 + 1 - 1) to s*c**2 + i*c + r*c**3 + v and give r.\nAnswer: 82302","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (21 + 47 + -53).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -750, -2520, -5474, -9612, -14934, -21440?\nAnswer: -29130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 y when three letters picked without replacement from sysyss?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 600\/(-40)*-3*84\/10. Suppose -m*x + 386*x = 864. Does 3 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-110)\/(-99) - 2\/18. Solve -2*l + 9 + y = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3145 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -5*r - 15, -5*v - 4*r - 10 = 2. Let o = -6 - -7. Let b(j) = j + 1. Let w be b(o). Solve 4*t = 2*q + 10, v = -w*t + t + 3*q - 5 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -352122 - -13?\nAnswer: -352106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-50)\/(-10)*5*1. Let a = -59 + v. Let y = a + 48. What are the prime factors of y?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 38*i. Let k(w) = 245381*w**2. What is g(k(x))?\nAnswer: 9324478*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 447\/152153 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -17*g*k**3*n**2 + g*k**3 + g + 29*k**3 + 3*k**2*n**2 wrt g?\nAnswer: -17*k**3*n**2 + k**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -23 + (17 - (-28 - -55 - 11)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1064*a**5 + 1796*a**4 - 408*a**3 - 316*a**2 - 8*a = 0. Calculate a.\nAnswer: -2\/7, -1\/38, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 8*k = 6. Let q(r) = -r**3 - r**2 + 3*r + 1. Let m be q(k). What is the nearest to -1 in m, -0.4, -0.5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 359.9442 microseconds in nanoseconds?\nAnswer: 359944.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1183*u**2 + 146*u**2 - 1168*u**3 - 240*u**3 + 237*u**3 wrt u?\nAnswer: -7026","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2496 is divided by 51?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 22*s**2 - s. Let z be y(-1). Let k = z - 21. Solve -k*b - 2*b + 20 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9816 - 716533\/73. Which is smaller: -1 or k?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -29 + 122*n**2 - 46*n**2 - n**3 + 9*n - 46*n**2 - 41*n**2. Let c be i(-12). Suppose 18 = -w + c*w. What is the highest common factor of 12 and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of a**6\/20 + 9*a**5\/40 + 15*a. Suppose v(f) = 0. Calculate f.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-144)\/30*(-20)\/(-6). Let n = s + 5. Let l = 15 + n. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 p, and 1 k when three letters picked without replacement from {g: 1, r: 1, n: 1, k: 1, p: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -509543*p - 3*x = -509538*p - 11, -4*p + 5*x - 43 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -678\/29 - 7\/58. Let b(i) = -25*i - 5. Let n be b(9). Find the common denominator of t and (-6)\/(-24) - n\/(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16437?\nAnswer: 3, 5479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 4*k = -6, 5*j - k = 8. Solve j*r + n - 7 = 0, -60 + 20 = -5*r + 5*n for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 6*s - 8*s. Let g be (24\/20)\/((-6)\/s). Suppose -4*y + 6*y + 4 = 5*b, b + 10 = g*y. Calculate the smallest common multiple of 5 and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*u + 15*u - 4*u**2 to z*u**2 + g*u + q and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w - 9. Let f be (-216)\/(-28) + 2\/21*3. Let j be q(f). Let a be (-1)\/j - (-1 - -2). Which is smaller: -2\/5 or a?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 22 = -2*f - 2*f, -26 = -5*f - 3*a. Let q(p) = -p + 5. Let u be q(f). Let b(g) = -g**2 - 17*g - 11. Let w be b(-16). Solve -2*c - u + w = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-8)*((-60)\/21)\/5.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35, -40, -43, -44, -43, -40, -35?\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-9)\/((-45)\/2)*(-1 + 31). Suppose -5*n = -v - 28. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1252 - -1236. Which is the closest to -1? (a) 8 (b) r (c) 3\/5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 43 and 2859328?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4726 is divided by 772?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 2*v**3\/7 - 340*v**2\/7 - 98*v - 344\/7 = 0?\nAnswer: -1, 172","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5637 - 5592. Calculate the smallest common multiple of c and 28.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ty when two letters picked without replacement from yyytyyyt.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/64*-16)\/(1*(-9)\/(-273)*7)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 155*p + 17. Let h be i(4). Suppose -u - 90 + h = 0. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 128 - (6\/(-2))\/(6\/4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 82*a**3*s**2 + 1574*a**3 + 3*a**2 + 137*a*s**2 + s with respect to s.\nAnswer: 164*a**3*s + 274*a*s + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 100010111001 (base 2) to base 3\nAnswer: 10001201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1338167)\/6 - 0) + -2. Let d = -220046 - j. Let c = -2969 + d. What is the common denominator of -95\/12 and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-508*(-1)\/42)\/8 + (-109480)\/82110?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 + 4*x**2 + 4*x + 4. Let b be q(-3). Let z = b - -32. Suppose -11 = 2*v - z. What is the greatest common factor of v and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2 + -40248440.1.\nAnswer: -40248439.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-24) - -1 - (-1875)\/(-1530).\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*d**4 + 2*d**4 - 7*d**4 + (-d - d + 0*d)*(0*d**3 + d**3 - 2*d**3) + 5*d**2 + 2*d**4 - 5*d**2 + 13*d**3 - d**4 - 13*d**3.\nAnswer: 10*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -29.25949*2\nAnswer: -58.51898","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(13) + -5 + -2)*-4.\nAnswer: -4*sqrt(13) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20 - -22. What is the remainder when 10 is divided by x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 6*x + 29. What is the remainder when u(4) is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and -2599.72?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j + 3*j + 4*j)*(23 - 16 + 13).\nAnswer: 120*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 35*l**4 + 208*l**2 + 84249.\nAnswer: 140*l**3 + 416*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes after 10:48 PM?\nAnswer: 11:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/3)\/((-4)\/(-36)). Let x(o) = -o**3 + 7*o**2 - 7*o + 9. Let a be x(y). Let i(r) = r**2 + 1 + 2 - r - 3*r. Calculate i(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-1)*y)\/(y*y\/(((y\/((((y*y\/y**(-2\/7)*y)\/y)\/y*y*y)\/y))\/y)\/y))*y**1\/y**2)**(-2\/17) assuming y is positive.\nAnswer: y**(74\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -16*l - 5. Let n(y) = 8*y + 3. Let g(s) = 6*j(s) + 10*n(s). Let v(w) = -w**2. Give g(v(c)).\nAnswer: 16*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together 7 and -0.38705694748.\nAnswer: 6.61294305252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3400 = 25*j + 6550. Let k = j - -414. Calculate the highest common divisor of k and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, -325, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 + 9 - 8)*1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17321648 - -10211648. What is z rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 9533 = 199*g - 194*g, -19090 = -2*h + 4*g. What is the thousands digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45\/18 + 429*(-229)\/12*-2 a multiple of 89?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23273.\nAnswer: 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31135167.\nAnswer: 3, 7, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -4, -24, -58, -106, -168?\n\"Answer: -7*l**2 + l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 - -9. Suppose -y + 3 = -n. Suppose -y*r + 31 = -34. What is the remainder when r is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*m - 599560 - 53*m + 81721 - 4563 + 2*m**3.\nAnswer: 2*m**3 - 2*m - 522402","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 37380 and 936?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -2*m**3 - 103*m**2 - 180*m - 2203. Determine u(-50).\nAnswer: -703","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 238 is divided by 33?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14453 - 4146. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 62962018?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*f**3 + 0*f**3 - 2*f**3 - f**3 + 0*f**3 - f**3 + (1 - 4 + 1)*(-2*f - 2*f**3 + 2*f) + f**3 + 2*f**3 + 3*f**3.\nAnswer: 6*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 + j**2 + 0*j**3 - 3 - 5*j**2 + 3*j**3. Let g be ((-12)\/(-10))\/((-8)\/(-20)). Is p(g) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -49, -332, -1235, -3070, -6149, -10784, -17287, -25970?\nAnswer: -37145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (5 + -8)\/(12\/(-20)). Is 487 - (g\/1 + -10 + 5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -30 and -0.41?\nAnswer: 29.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22.1 - 22. Suppose l + 10 = -4*l, 3*m + 3*l = -9. Sort m, -4, f.\nAnswer: -4, m, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 4 (b) 0 (c) -4.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 1149*c. Let q(k) = k**2. Determine q(i(r)).\nAnswer: 1320201*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1149 - -1677. Suppose -2*k - n = -4*m, -11*m + 6*m = -k - 657. Is 10 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82971.\nAnswer: 3, 7, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -111215 + 458?\nAnswer: -110757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.172 + 1.07. Let g = 0.25 - 0.14. Let m = c + g. Round m to 2 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the third derivative of -r**5\/60 - r**2. Let x(m) = -2*m - 2. Let d(u) = -4 - 4*u + 0 - 1. Let k(a) = 2*d(a) - 5*x(a). Determine k(h(j)).\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -778583575*b**4 + 237*b**2 - 1225861?\nAnswer: -18686005800*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b85c07 + -5?\nAnswer: b85c02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -34c (base 13) in base 4?\nAnswer: -20323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2434 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b883 (base 16) to base 7\nAnswer: 254466","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1340 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 + 10*y - 4. Let h be j(9). Let a(s) = h + 3*s + 0*s - s. Let t be a(-4). Put -1, t, 1 in descending order.\nAnswer: 1, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -318 = 6*x - 77*x - 2*x + 20*x for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 47 + -34. Let v(d) = 8*d - 16. Calculate the remainder when v(5) is divided by q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 1, 6, 4, -3, -7 in increasing order.\nAnswer: -7, -3, 1, 4, 6, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -265 = -4*g + 7. What is the smallest common multiple of g and 48?\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of g**4*i - 40*g**2*i + g*i + 3*i - 2 wrt g?\nAnswer: 4*g**3*i - 80*g*i + i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(4\/13))**(17\/5) assuming o is positive.\nAnswer: o**(153\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 523062509?\nAnswer: 97, 5392397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (632\/(-6)*3)\/(-2). Suppose -3*w + 0*a + a = -239, -2*w + 2*a = -r. Does 12 divide ((-128)\/w)\/((-2)\/60)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -400 + 0*c + c + 400.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide (5276 - 21)*7\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -76 and -4?\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*g**4\/9 + 14212*g**3\/9 + 2561768*g**2\/9 + 19812992*g\/9 + 13057408\/3 = 0. Calculate g.\nAnswer: -3363, -182, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 28075991 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(3\/4))\/(q*q\/(q*q**(-2\/37))*q))**12 assuming q is positive.\nAnswer: q**(-135\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l = -128 - 130. Calculate the remainder when 213 is divided by l.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6.68 in -0.3, 0.3, 5.3, -1\/2, 1?\nAnswer: 5.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -27.974 + 28. Let s = -8.1 + 8.0706. Let c = d + s. What is c rounded to three dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 AM and 10:58 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -82782 by 4599.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r - 14 - 4 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -687 - 561 + 251 - 165 + 2*y**2.\nAnswer: 2*y**2 - 1162","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.017 + -0.983. Let k(g) = -8*g - 12. Let i be k(-3). Let x be 28\/i - (2 + 0). Which is the nearest to x? (a) u (b) -0.5 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-7)\/14*(-7 + -1). What is the greatest common factor of z and 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 183411.6863 + -183428. Let l = y - 0.1163. Round l to 1 decimal place.\nAnswer: -16.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*y**(-25)*y))**(2\/27) assuming y is positive.\nAnswer: y**(16\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.138 + -4.138. Sort p, 1\/3, -0.2 in increasing order.\nAnswer: p, -0.2, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 + 9*z - 52. What is the remainder when f(-16) is divided by 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 84144 to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the third derivative of -5*k**2 - 1\/2*k**3 - 1\/8*k**4 + 0 + 0*k. What is t(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 268*n**3 - 536*n**3 + 266*n**3.\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8558532*u**2 + 8 - 2 - 6.\nAnswer: 8558532*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5739736 and 592.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156) - ((sqrt(156) - 6*(-1*sqrt(156) + sqrt(156)) - sqrt(156)) + sqrt(156)))\/(sqrt(1452) + sqrt(1452)*-3))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 - 16*m + 29. Determine z(14).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (57\/152)\/(21\/14 - 1). Solve -3 - 15\/4*a - g*a**2 = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -22.52 and -1662476610.\nAnswer: -1662476632.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(10\/(-15)) - (-1 - 7\/7). Suppose 5*x = -10, 3*m - 5*x = -2*m + 85. Solve s*l + m = 10 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 e when two letters picked without replacement from {e: 3, u: 2, c: 1, v: 1, y: 1, x: 4}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 1694*d**2 + d + 4*d - 1651*d**2. What are the prime factors of u(-3)?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 889 - 398. Suppose -p = 8*d + 1621. Let u = 418 + d. Calculate the remainder when u is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24571 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 6 + 1 = -3, -3*b = u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -p**5 + 3*p**5 - 4*p**2 + 5*p**5 + 2*p**5 wrt p.\nAnswer: 540*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16 - 12. Let d(s) be the second derivative of s**5\/4 - s**4\/3 + 3*s**3\/2 - 3*s**2\/2 + 13*s. Is d(m) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 200 and 6127400?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3561.\nAnswer: 3, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 204 divide 1559376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 14*a - 43. What are the prime factors of u(16)?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 + 15 + 5*l + 4*l + 4*l. Let q be s(-12). Solve d + q - 2 = -5*b, 5*b - d = 1 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of -m**4\/12 + m**3\/6 - 3*m**2\/2 + 2*m - 62. Let n(a) = -a**3 + 2*a**2 - 2*a + 4. Give -3*n(o) - 4*r(o).\nAnswer: 3*o**3 - 2*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -22933 < -22925?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1338?\nAnswer: 2, 3, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135*g - 30 = 129*g. Suppose 3*l - 170 = -4*w + 1134, -g*w = 3*l - 1627. Is 38 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 49, 305, 557, 805, 1049?\n\"Answer: -2*x**2 + 262*x - 211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*w + 4*w + w)*(4 - 5 + 7)*(-45 + 45 + 7*w) + 2*w**2 + 0*w**2 - 6*w**2.\nAnswer: 500*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 13*q*t**2 - 198*q*x**3 + 48*t**2*x**2 - 350*x**3 wrt q?\nAnswer: 13*t**2 - 198*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 8\/3 of a hour?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -10*s**3 + s**2 - 11*s + 15. Let f(q) = -2*q**3 - 2*q + 3. Determine -2*c(o) + 11*f(o).\nAnswer: -2*o**3 - 2*o**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.7733 - 0.7733. What is the fifth biggest value in 2, -0.1, -5, -2, m?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 4*n + c, 39*n = 50*n - 2*c - 44 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (408\/(-119))\/(34\/(13328\/(-210)))?\nAnswer: 32\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -452866, -905747, -1358646, -1811563?\n\"Answer: -9*x**2 - 452854*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -9*o**2. Let h(v) be the third derivative of -v**5\/120 + v**3\/6 - 4*v**2 + 2*v. Let u(p) be the first derivative of h(p). What is u(q(l))?\nAnswer: 9*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((4\/2)\/(3\/6))\/14\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(44)\/sqrt(4)*-1 - (-3 + sqrt(33)\/sqrt(3))**2.\nAnswer: -20 + 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 469 and 3087?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62 - 27 = 110*r - 81 + 6 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 533 and 82?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 47316?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 3925 (c) 0.12 (d) -17 (e) 1\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 4*x - 28, -28*n + 14 = 2*x - 26*n. List the prime factors of x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 16. Let p(d) = d**3 - 10*d**2 + 3*d - 13. Let y be p(10). Suppose -y*z + 1091 = -898. What is the highest common divisor of z and h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -9. Let h(t) = 31. Let u be 3 - 7\/((-7)\/4). Let z(f) = u*l(f) + 2*h(f). Let v(m) = -m**2 - m + 5. Give -2*v(b) - 11*z(b).\nAnswer: 2*b**2 + 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rxpns. Give prob of sequence xn.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 786, 3129, 7034, 12501, 19530?\n\"Answer: 781*x**2 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-502)\/4*5\/(-10). Let v = h + -63. Which is the biggest value? (a) -0.4 (b) v (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*f**2 - f**2 + 9*f**2)*(-3*f + 1214 - 2163*f**2 + 726*f**2 + 727*f**2 + 711*f**2) as q*f + m*f**2 + x + n*f**3 + d*f**4 and give n.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 48 = -0*z + 3*z, -4*v - 5*z + 94 = 0. What is the highest common divisor of 56 and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2794036 is divided by 1902.\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 145\/1388556 and 55\/63468?\nAnswer: 56930796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 2*h - 2*h - 8, 4*p - 6 = 5*h. Let u(x) = x**3 - 5*x**2 + 3*x + 4. Let y be u(p). Solve d - 1 = -y for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -580029 divided by -193343\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79378 + 12*k + 39725 + 39668.\nAnswer: 12*k + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 36) + (-227 - -237).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of 943*p**4\/3 + 1412*p**2 - 7608*p. Differentiate k(s) wrt s.\nAnswer: 7544*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20.906 + 21. Let v = 0.1023 - y. Round v to three dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3773043080 to the nearest integer?\nAnswer: 1557","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 0.1 (c) -3\/7 (d) 2049\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3590752 is divided by 698.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 203, 769, 1603, 2615, 3715?\nAnswer: 4813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 452 - -2?\nAnswer: 454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 - 5*u**2 + 4*u**2. Let f(s) be the first derivative of 0*s - 1\/3*s**3 + 0*s**2 - 3. What is v(f(p))?\nAnswer: -2*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.4 - -0.1. Let x = 184 + -918\/5. Which is the closest to 0? (a) 0.1 (b) x (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-10) - (-74)\/180. Let o = f + 401\/360. Find the common denominator of 8\/(-11) - (-6)\/(-8) and o.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1256 divided by -8?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 22*n**2 + 3*n + 4. Let a(s) = 65*s**2 + 10*s + 11. Let z(o) = -4*a(o) + 11*b(o). What is the second derivative of z(j) wrt j?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-9)\/(-18) + (-5)\/(-2). Suppose 5*j + h - 2 = 20, 4*h - 20 = -c*j. Solve j*d + 32 = -4*v, -v + 4 = -2*d - d for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29037198479 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2*g)*(3 + 3 - 2) + 2*g - 5*g - 2*g.\nAnswer: -13*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 4563.\nAnswer: 5\/4563","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*v + 8206 = 6466. Solve -152*h + 142*h + v = 0 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8733?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.05 - -0.95. What is the closest to 1\/5 in m, 3, -1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, -161, 94 in decreasing order.\nAnswer: 94, 22, -161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22 - -12. Let x = n - -10. Factor x*b**2 + 0 - 2\/3*b**3 + 2\/3*b.\nAnswer: -2*b*(b - 1)*(b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 - 37*r + 205. Let l be t(32). Calculate the highest common divisor of l and 795.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.4 (b) 2\/5 (c) 48178\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = -60*d + 63*d - 3, -p + 7*d - 19 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.29 + -0.09. Let g = 161.5 + -163. Which is bigger: g or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6 (b) 2.58 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 13*f**2 + 8*f. Let y be m(-6). Suppose 2*w = -v - 4*v + 295, -y = -3*w - 3*v. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14 and 1358.\nAnswer: 1358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of r**6\/120 + r**5\/15 + r**4\/12 + r**3 + 5307*r**2. Let f be ((0\/1)\/(-2))\/1. Let v = -4 - f. What is i(v)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l**5\/4 - 317*l**4\/4 - 9087*l**3\/4 + 9405*l**2\/4 = 0. What is l?\nAnswer: -285, -33, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -28 - -37. Let f = 0 - z. Let n be 3 + ((-450)\/(-16))\/f. Which is the smallest value? (a) 0.1 (b) -3\/4 (c) -1\/5 (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/11)\/(256\/11264).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 709.74221 and 0.74472.\nAnswer: 710.48693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 + 53 = 8*z. Suppose 1 = 4*a + y - 2, -4*a - z*y - 17 = 0. Factor 2\/3*n**4 - 10\/3*n**3 + 16\/3*n**a - 8\/3*n + 0.\nAnswer: 2*n*(n - 2)**2*(n - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4 - 5)*(56\/(-6) - 4). Suppose -4\/3 + 26\/3*j - r*j**2 + 6*j**3 = 0. What is j?\nAnswer: 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1 + -0.4. Let u = 66.5 - 66.4. Which is greater: u or w?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12980*a**2*c**2 - 43*a**2 - 4*a*c**4 - 6*a + 16 wrt c.\nAnswer: -25960*a**2*c - 16*a*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 3:26 PM?\nAnswer: 3:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*c - 101*c**2 + 7*c + 935 + 200*c**2 - 100*c**2.\nAnswer: -c**2 + 935","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, j: 1, k: 1, x: 2}. What is prob of picking 1 k and 1 j?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8687 + 8624 - 836*u - 25938 + 8627.\nAnswer: -836*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -2*u**2\/7 + 26*u + 184\/7 = 0.\nAnswer: -1, 92","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 7*g + 4*u - 19153, u + 6368 = g. What is the highest common factor of g and 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -4*f**2 + f**2 - 1055*f + 2*f**2 + 1036*f + 8. Is 5 a factor of o(-19)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 less than 184507729?\nAnswer: 184507729.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/((-21)\/7)*4\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 703 and 57.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2776 + 612*t + 5543 - 2766)*(t**2 + 4*t**2 - 3*t**2 + (-5*t + 3*t + 4*t)*(-4*t + 4*t + t)).\nAnswer: 2448*t**3 + 4*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 342 and 228.\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3*((-12)\/9 + 3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/23, 1\/3, 19, -3 in increasing order.\nAnswer: -3, 2\/23, 1\/3, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1131 a multiple of 87?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136*b - 294 = 250. Solve 8*t - 19 = b*h + 9*t, -4*h - 23 = -3*t for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/13 (b) -0.53 (c) -13.6 (d) -6.809\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*k**5 - 2 - 2*k**5 + 0*k**5 + (-8*k**3 - 3*k**3 + 5*k**3)*(-3*k**2 - 2*k**2 + 4*k**2) - 5 + 5 + 2*k**5 + 2*k**5 - 2*k**5 + 2*k**5.\nAnswer: 11*k**5 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21 - 18. Solve 3*o + 4*u = -1, -4*o + g = -u - 2 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 0*n + 2*o + 1190 = 0, 1175 = 4*n - 5*o. Suppose -44*t - p - n = -49*t, -p = 0. Calculate the smallest common multiple of t and 42.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 5*p + 3*v, -v - 32 = -3*p - 5*v. Suppose -p*l + 12 = -3*y - y, 4*l = 5*y + 7. Suppose 0 = k + k + l, -2*k = 5*r - 52. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 58 = -4*m, 2570347*m - 71 = 2570345*m + 3*z for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3895, 3895, 3897, 3901, 3907, 3915, 3925?\n\"Answer: t**2 - 3*t + 3897","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -329, -3, -5, -0.6, -0.3 in descending order.\nAnswer: -0.3, -0.6, -3, -5, -329","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10625468 and 8540?\nAnswer: 1708","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3809034961 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.072367 and -851.\nAnswer: 61.584317","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 69*(4 - (-4)\/(-36)*39).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 33670, 134907, 303708, 540073, 844002?\n\"Answer: 33782*l**2 - 109*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13274 - 13236. Solve -48*y + 40 = -a*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 702, 711, 742, 801, 894, 1027?\n\"Answer: u**3 + 5*u**2 - 13*u + 709","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/247, -1\/72, -5 in descending order.\nAnswer: 2\/247, -1\/72, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 a factor of 588229?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6501, 25524, 57229, 101616?\nAnswer: 158685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - -100000001111100010100100?\nAnswer: 100000001111100010011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - 88384d5?\nAnswer: -88384d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18 + 17.45. Let u = h - -0.05. Suppose 0 = 3*m - f - 17, 4*m + 2*f - 6 = -0*f. Which is the second biggest value? (a) m (b) u (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and -7751.\nAnswer: 31004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -38 - (-53 + (0 - -42))\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 2851.214446 and -0.2.\nAnswer: 2851.014446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5113.34 from 43133414.\nAnswer: 43128300.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 279 and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of x**5\/25 + x**4\/10 + x**3\/15 - 17. Solve h(a) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(156) - sqrt(156)*3)\/sqrt(12) - (sqrt(1573) + -5)) + (-4*-1*sqrt(143))\/((sqrt(66)*2 + sqrt(66))\/sqrt(6) - sqrt(11)))**2.\nAnswer: -110*sqrt(13) + 1598","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 463, 2209, 3955?\n\"Answer: 1746*v - 1283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04 plus 41.239936?\nAnswer: 41.279936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -3*l + 2. Let u be ((-20)\/(-3))\/(15\/54). Suppose 16 = -2*n - 6*w + 5*w, -5*w = -3*n - u. What is c(n)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*t - 50*t - 483 = -90*t + 297 for t.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 164126 + 0?\nAnswer: 164126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1249, -2493, -3731, -4963, -6189?\nAnswer: -7409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.05 and 3725278.\nAnswer: 186263.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1476 and 3144?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fnfsndfieddd. What is prob of sequence ddfn?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 294*i**2 + 195*i - 497*i + 67*i**3 - 294*i**2 wrt i.\nAnswer: 402*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2753?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7121378?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -82 - -84. Let b(l) = 13*l**2 + 11*l**c - 29*l**2. Let d(t) = -t**2. Calculate d(b(a)).\nAnswer: -25*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -2*v**2 + 7*v - 6. Let j be p(4). Suppose -3*m - 46 = -10. Let c = j - m. Solve 0 = -5*n + 18 + c for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 224 + -155. Let m be (-2*(-4)\/(-6))\/((-14)\/21). Find b such that -54*b**5 - 17*b**2 + k*b**5 + 55*b**4 + 25*b**3 + m*b**2 = 0.\nAnswer: -3, -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + -c635?\nAnswer: -c637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 6:11 PM?\nAnswer: 12:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - o - 203, -3*o = 4*b - 6*o - 812. Let s(z) = 88*z - 8. Let f be s(6). Let j = f - b. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.5 (b) 88 (c) -4 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.98 + 0.02. Let w = 5.98 - k. Are w and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/1002972 and 137\/66234?\nAnswer: 7020804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 207 and 26039910?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1)\/(-3))\/(2\/(-6)). Let f = 6 + v. Suppose 36 = d - 5*p - 37, -20 = f*p. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - w = -6377512, -4*o + 8252352 - 1874828 = 4*w. Suppose 5*l = 1305623 + o. What is l rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11316 and 2484.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -7*l**2 - 343*l + 82. Let q be t(-49). Calculate the greatest common factor of q and 2952.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of -t**8\/1680 + t**7\/50 - 11*t**6\/40 + 23*t**5\/12 - 25*t**4\/4 - 3*t**2 - 18*t. Solve i(q) = 0 for q.\nAnswer: 0, 5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -148 * -1383\nAnswer: 204684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -165 - -167. What is the hundreds digit of ((-2)\/(-4))\/(c\/2128)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3 + -9)*15\/(-2). Suppose -2*s = -5*x + 90, 4*s - s + b = 5*x. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + s + 13*s - 4.\nAnswer: 14*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -168*d + 16006 = 348*d - 215162. Calculate the smallest common multiple of d and 1008.\nAnswer: 4032","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -999*m**2 - 513*m**2 + 171*m**2.\nAnswer: -1341*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 20*h = 24*h + 105, 5*n + 5*h = -105. What is the third biggest value in n, 0.2, 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 31911 and 147873?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5d800 + -4?\nAnswer: -5d804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + 2*t + 2*t)*(5*t - 3*t + 0*t) + t**2 + 0 + 0.\nAnswer: 7*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -405215 times 0.2\nAnswer: -81043","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*k**3 + 2*k**3 + 4*k**3.\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 50 or 95769\/1916?\nAnswer: 95769\/1916","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 0, -1\/5, 1.8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86 = -2*x - 4*k, 0*x - x - 3*k = -40. Calculate the greatest common factor of x and 588.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2 + o - 4 + 5. Suppose -k = -5*p - 2*k - 25, 0 = -k. Let t be w(p). Let y(l) = -4*l - 1. Determine y(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 32*y = -80678. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 5*y - 34 = 1, -3*c + 31 = -5*y. Suppose -2*r - o - 6 - 4 = 0, -28 = 4*r + 4*o. Let h be 1 + 0 + (-3)\/1. Sort r, h, c, -5 in decreasing order.\nAnswer: c, h, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -306 or 2?\nAnswer: -306","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -122*6\/18 + 417\/(-1251).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/4*(8 - 9472\/1120)*1\/12.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/(y**1\/y))**24*y*y**(-2\/19)*y**(-7))**(3\/17) assuming y is positive.\nAnswer: y**(2388\/323)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 17063 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 remainder when 2049865 is divided by 683008?\nAnswer: 841","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -2*i**2 - 4*i + 1. What is b(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/20 of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4715496816 to the power of 1\/7, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 - 5*s**2 + 1. Let z be y(5). Let f be z*((-2)\/2 + 6). Solve 2*p - f = -0*k - k, k = 5 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -0*u + 3*u - 141, 3*h = u + 109. Let t be (-4)\/3*h\/(-8). Suppose 0 = -4*z - t - 14. Which is the second smallest value? (a) z (b) 1 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43222205 (base 7) in base 16?\nAnswer: 383fb4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 947 - 565. List the prime factors of b.\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 19.211 to 1 decimal place.\nAnswer: 19.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 220 + 2?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 631?\nAnswer: 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 68 divided by 8011?\nAnswer: 68\/8011","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 15940896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 + 52*w**2 - 54*w - 35. Let z be l(-53). Let x(i) = i**3 - 2*i**2 - 4. Let o be x(3). Solve -u = -o*q + 15, -3*q + z = -4*q - 4*u for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4323916671 to the power of 1\/3, to the nearest integer?\nAnswer: 1629","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 45.93 + -46. What is c rounded to 1 dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*b = -9*b + 72*b + 2550 for b.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 take away 6322214743.5?\nAnswer: -6322214743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pi when two letters picked without replacement from xgpixpqppggxxp?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 420676637 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (120\/16)\/(-3)*-2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of -37*m**4\/6 + 43*m**3\/6 - m**2 - 98*m. What is the tens digit of y(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 minus 243415?\nAnswer: -243439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1168*i + 72389 - 72389 to d*i + x and give d.\nAnswer: -1168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -19, 1, 27, 53, 73, 81, 71, 37?\n\"Answer: -x**3 + 9*x**2 - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 2220 = 4*x, -86 = -x + h + 477. Suppose 0 = 5*i + 7*y - 4*y - 686, -4*i + x = -y. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - -1)\/(-2 - -1). Let w be (d\/2)\/(-1)*1. Let h be (-2)\/(-4) - 28\/(-8). Solve w*c + h = -2*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5240 divided by 2620.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 9519689\/17 <= 559983?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1425?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67394 is divided by 177?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 29400 rounded to the nearest one thousand?\nAnswer: 29000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 h when two letters picked without replacement from kvgikgh.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 221 - 7416929.\nAnswer: -7416708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 111 + 63 = 52. Put 632, -5, a, -4 in increasing order.\nAnswer: -5, -4, a, 632","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r + 6. Let p be d(3). Suppose 0 = y - 5*y - 3*z + 16, 0 = -5*z. Suppose -t + 10 = -p*j, -t - y*j + 9 = -1. Is 8 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*g**2 + 2*g**3 + 6527 - 6527.\nAnswer: 2*g**3 - 4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34716.\nAnswer: 2, 3, 11, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - -cb8?\nAnswer: cb9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 + 8*k - 10. Let b be i(-9). Let z(t) = t. Let r(f) = 2*f - 4. Let p(x) = b*r(x) + 5*z(x). Let a be p(-3). Let o(h) = -h + 1. Give o(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 1 = 3*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d**2 - 2*d**2 - 3*d**2)*(1 + 3 - 6) - 4 - 3*d**2 + 1 + 5*d**2.\nAnswer: 6*d**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1265*l**2 + 442*l**6 - 955*l**2 - 2*l + 2206*l**2 - 2 wrt l?\nAnswer: 53040*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7800 is divided by 322.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -0.9, -183, 1.5 in increasing order.\nAnswer: -183, -0.9, -1\/2, 1.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*n - 54*n = 52*n + 3*j - 4*j - 2435, 3*n - 3*j - 45 = 0 for n.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16*y**4 - 252*y.\nAnswer: 192*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 5*b - 10 = 0, -240*b = 2*c - 237*b - 6 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4871232.9 rounded to the nearest 100000?\nAnswer: -4900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -72.047 or -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1698*w + 4282*w**2 - 860*w - 838*w - 4277*w**2.\nAnswer: 5*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 143*c**2 + 530*c**2 + 563*c**2 - 118*c**2.\nAnswer: 1118*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0216515761 to three decimal places.\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.63036106 rounded to 2 dps?\nAnswer: -12.63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 - 3\/(6\/(-4)). What is the closest to p in 1, -0.3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, t: 4, u: 6, m: 3, q: 3}. What is prob of picking 3 m and 1 u?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 PM and 10:17 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 56 = 84. Find z such that 7 - 325*z**2 - 36*z - w + 34*z = 0.\nAnswer: -2\/325, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -56*o**4 - 14*o**2 + 35*o + 1247. Let m(k) = -19*k**4 - 4*k**2 + 12*k + 415. Let h(f) = 2*d(f) - 7*m(f). Find the first derivative of h(s) wrt s.\nAnswer: 84*s**3 - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 259668518 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 6*v. Let b(d) = -5*d. Let s(h) = -4*b(h) - 3*i(h). Let c(x) be the second derivative of 36*x**3 + 1692*x. Calculate s(c(z)).\nAnswer: 432*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) 3\/4 (b) 3 (c) -4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 384 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 443124?\nAnswer: 2, 3, 11, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 661*t + 39676. Determine y(-60).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*u + 1973 - 2365 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -4*b + 3. Let a be 51\/b + (-2)\/8. Suppose 4*u = x + a*x - 46, 0 = 5*x + 5*u - 10. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -78871 divided by 78871?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 511712 is divided by 14617?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 130 divide 5854801?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -30856*n**2\/3 + 5708365*n\/3 - 925\/3.\nAnswer: -(n - 185)*(30856*n - 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**2 - 2*x**2 + 3*x**2)*(45*x**3 + 26*x**3 - 268*x**3) + 1 + x**5 - 1.\nAnswer: -393*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6913 - 0?\nAnswer: -6913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 3\/2, 1\/4, -3.68, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8)\/(-6) + (-12)\/36 - -3. Suppose -285 = -u*k + 9*k. Is k equal to -58?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmmdmdmmmmmmmmd. What is prob of picking 2 d?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -8*m**3 + 10*m**2 + 16*m + 38. Let l(j) = 3*j**3 - 3*j**2 - 5*j - 13. Let b(r) = -11*l(r) - 4*o(r). What is the units digit of b(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.965697 weeks in hours?\nAnswer: 1674.237096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 - 6*f**2 + 8*f - 8. Let v be b(5). Suppose 8 = -0*d + 4*d, -4*d - v = -3*p. Factor 15*x**2 + x**4 - p*x**4 - 23*x**3 - 2*x**4 - 4*x**3.\nAnswer: -3*x**2*(x + 5)*(2*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the third derivative of -q**7\/630 - 2*q**6\/45 - 17*q**4\/12 + 4*q**2. Let w(d) be the second derivative of y(d). Factor w(b).\nAnswer: -4*b*(b + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -176*q + 40*q + 32*q + 520 = 0. Suppose 0*y - 4 = -4*y. Let t(c) = 45*c**3 + 1. Let i be t(y). Solve -m - 4 = -3*z, -q*z - 5*m + i = 6 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 1461*k**2 + 334*k + 1731. What are the prime factors of g(-5)?\nAnswer: 2, 11, 1663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15791.\nAnswer: 15791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 122.4 and -666.\nAnswer: -81518.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 2*r**2 + 13*r + 1. Let y be (9\/(-4))\/(3\/8). Let s be q(y). What is the units digit of 68 + (0 - 20\/s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -72 - 277316?\nAnswer: -277388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c - 18*c + 4*c.\nAnswer: -16*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*1.2.\nAnswer: 4.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -252*g + 230*g + 869281 = -100127. What are the prime factors of g?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of -x**3\/3 + 7*x**2\/2 - 9*x + 11. What is i(7)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s**5\/3 + 526*s**4\/3 - 1066*s**3\/3 - 1582*s**2\/3 + 2128*s\/3 + 2120\/3 = 0. What is s?\nAnswer: -265, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add -288530 and 0.06.\nAnswer: -288529.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of -i**7\/126 + 29*i**6\/45 - 1081*i**5\/60 + 1415*i**4\/9 + 7400*i**3\/9 + 4000*i**2\/3 - 152*i. Factor w(o).\nAnswer: -(o - 20)**3*(o + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -268, -632, -1648, -3652, -6980?\nAnswer: -11968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1563 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 36 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -397*h - 245*h + 247*h - 2765 = 0 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1432 at most 1431?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 45817 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u - 5*u + 2*u)*(5 - 4 - 4) - 10 + 5*u + 10.\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/4792527 and -34\/4792527.\nAnswer: 4792527","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*y - 100 + 32 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1845 - 879 = -4*a - 4*x, -2*a - 4*x + 1370 = 0. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20890574*-2\nAnswer: 41781148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3437?\nAnswer: 7, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 take away -921481?\nAnswer: 921463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -1202.63479 to 1 dp.\nAnswer: -1202.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4509 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 128.2782614 rounded to the nearest 10?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-3)\/5)\/(12\/15 - 1). Solve -s + 1 + 17 = b*h, -4*s = -h - 7 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - 5. Let i(m) be the second derivative of -1\/12*m**4 + 1\/3*m**3 - 1\/2*m**2 - 1 + 60*m. Determine i(u).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 11*t + 143 = -0*o - o + 454, 0 = 6*o + 4*t + 140 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -10021 + 441760560?\nAnswer: 441750539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 22797?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 + r**2 + 5. Let q be b(0). Let a(s) = s**2 - 2*s + 3. Let x be a(0). Suppose -x*k = -2*k - 20. Solve q*j = -0*t - t - 4, -3*j = 5*t + k for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3296008052?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in -3, 628, -0.5, -5, 0.1, 8\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 13662, 19153, 24644?\n\"Answer: 5491*a + 8171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15.1 - 15. Let u = -2480 + 2720. Which is the smallest value? (a) u (b) -2\/19 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 19*f**2 + 223*f - 15. Give g(-11).\nAnswer: -169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 4*m**2 + 3*m + 4 - m**3 + 5*m**3 - 4*m**3 + m**3. Determine z(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 60*d - 1 - 36*d - 25*d - 16*d**2 to the form u*d**2 + c*d + h and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*k - 52*k**2 - k - 31*k**2.\nAnswer: -83*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 + 9*y**2 - 8*y + 5. Let n be i(8). Suppose -w + 69 = 3*b + 2*w, 4*b = 3*w + 64. Let a = -15 + b. Solve 0 = l + n - a for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - 2. Let m be ((-61398)\/4)\/((-1)\/i). Let z = m - 20699. What is z rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19573 and 57132?\nAnswer: 529","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 3*d = 7, 245*c - 249*c - d - 19 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -3857182 (base 9) to base 10\nAnswer: -2104778","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/5 (b) 4\/3 (c) 0.5 (d) 20 (e) 1.3 (f) 0.018\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -5, 5, 12 in decreasing order.\nAnswer: 12, 6, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.17502 rounded to 2 dps?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4570342.\nAnswer: 2, 7, 29, 11257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 95601703?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67393 - 25065 = 962*a for a.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 - -16. Let z = 48 + -48. Suppose -9 = -u + 6*j - 2*j, 4*j + 4 = z. Solve 2*m = -n*k + 6, -m + 2*m + 18 = u*k for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 - 583*p**2 - 6482*p - 108703. Give v(-572).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 divided by 3?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -27 - -23. Let q = -3 - -2. Sort 3, g, q in descending order.\nAnswer: 3, q, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 28464173?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) 1 (c) -6 (d) -482\/1919\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 193253 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4712 is divided by 89?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 - 10*o + 0*o - 17 to the form j*o + s and give s.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 + m + 1. Let d(l) = 5*l**2 + 1. Let z(v) = d(v) - 2*y(v). Let n be z(-1). Solve 2*i - n*i - 6 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 9*x**2 + x + 1. Let s(y) = 57*y**2 + 6*y + 6. Let z(q) = -86*q**2 - 9*q - 9. Let f(n) = -8*s(n) - 5*z(n). Give -6*f(v) - 17*t(v).\nAnswer: 3*v**2 + v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 54*c**3 - c**2 + c + 1. Let s be i(-1). Let w be (-10)\/s + (-229)\/(-11). Solve -d + 3*q = -2*d - 3, 5*d - w = 3*q for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 6 - 4)*(7*a + 0*a - 3*a) + 4*a + a - 2 - 4*a.\nAnswer: 5*a - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 7546.6 rounded to the nearest one hundred?\nAnswer: 7500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 67844886 and 6.\nAnswer: 67844886","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of -l**6\/720 + l**4\/24 + 3*l**2. Let a(g) be the second derivative of b(g). Let w(y) = y**2. Determine w(a(f)).\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3907 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 3 - 3 + 2 + 3 + (1 + 1 - 4)*(-2 + 0 + 1) + 5 + 0 - 3)*(-2*q - 3*q - q)*(0*q + 0*q - 2*q).\nAnswer: 108*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -104.92 - -105. Let s = 0.12 + 0.38. What is the smallest value in -0.1, 1\/3, h, s?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o + 20*o = 1400. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 33 and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15 and 328041?\nAnswer: 1640205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2616 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*n + 18 = -58*n. Let l be n + 2\/(-4)*2. Let v(y) = y**3 - 7*y**2 - 10*y + 5. Give v(l).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24292467.\nAnswer: 3, 47, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10172.\nAnswer: 2, 2543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 473 is divided by 58 + 4 + -8 - -13?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + f + 153 = -0*f, -2*t - 2*f - 158 = 0. Let d = 83 + t. Solve -d*n + 25 = -4*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-14)\/18)\/(-7))\/(59*28\/698796)\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4747*j - 8*j**3 - 11*j**4 - 4747*j + 23 - 10*j**3 wrt j?\nAnswer: -44*j**3 - 54*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = -4*y + 60. Let w = 19 - y. Suppose 5*h = w*p - 742, 0*h = 3*h - 6. What are the prime factors of p?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3108 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -68, -57, 102, 487, 1176, 2247, 3778, 5847?\n\"Answer: 13*g**3 - 4*g**2 - 68*g - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.32 - 0.51. Let c = -0.01 + w. Let k = 0.01 - -3.99. What is the third smallest value in k, c, -1\/3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 528, 1053, 1578, 2103, 2628?\n\"Answer: 525*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the second derivative of 1\/60*z**5 + 0 - 2*z**2 - 6*z + 5\/24*z**4 - 1\/3*z**3. Let n(b) be the first derivative of c(b). Calculate n(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 190776 + 4?\nAnswer: 19077a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-36)\/126)\/(4\/((-84)\/(-33)))\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9733*k**3 + 7588*k**3 - 11825*k**3.\nAnswer: -13970*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 take away 10446837?\nAnswer: -10446831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-21034)\/1974 - (3 - (-96)\/(-28)). Let w = b + 37\/94. Find the common denominator of w and -14\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1830, -3683, -5522, -7341, -9134, -10895?\nAnswer: -12618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*c - 65*c + 190 = x + 111, 0 = 5*x + 10 for c.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*s - 12 = -62 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 76, 222, -5 in decreasing order.\nAnswer: 222, 76, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 60 and 51105.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 193 and 93991?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = 6*x + 87, 104*x + 93*x - 194*x - 219 = 3*d for d.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 20\/40 - ((-9)\/2 + -2). Let f(p) = p**3 - 5*p**2 + 16*p - 58. What is the tens digit of f(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(76)*-2 + sqrt(76)))\/((sqrt(4) + -2*sqrt(4))*-6)*-5 + 3)*4.\nAnswer: -50*sqrt(19)\/3 + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (10 - 12)\/((-1)\/7). What is the highest common factor of 35 and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1724371*v**2 + v - 170016.\nAnswer: -3448742","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10043 = -633*f + 16543 for f.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -72 - -84. Let y = -14 - -20. Let h be 14\/y - (-8)\/12. Solve h*s + v = -0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n, 1 s, and 1 q when four letters picked without replacement from sqsqqsqqqnnsqnqs.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert a (base 15) to base 14.\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, 52, 215, 538, 1075?\nAnswer: 1880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 928\/(-12) + 4\/(-6). Let a(w) = -w**3 + 62*w**2 - 166*w - 729. Let m be a(59). Which is smaller: x or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/8379 and -9\/202958.\nAnswer: 1826622","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 5*c**2 + c**2 + 9*c**2 to p*c**2 + w + s*c and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 77438, 77435, 77430, 77423, 77414, 77403, 77390?\n\"Answer: -n**2 + 77439","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 p when three letters picked without replacement from {e: 1, k: 1, f: 1, p: 7, h: 5, a: 5}.\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(243))\/sqrt(9).\nAnswer: -3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 5*s - 276 = 15*s for s.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 3 = 0, 2*y + 1010 = -0*y - 5*p + 997 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 40392638, 40392647, 40392656?\nAnswer: 40392665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -77, -117, -225, -437, -789, -1317, -2057, -3045?\n\"Answer: -6*m**3 + 2*m**2 - 4*m - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*y**3 + 635*y**2 + 2636*y + 2668 = 0. Calculate y.\nAnswer: -2, 667\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104 - 272 = -2*x. Let l be 1\/2*-4*x\/6. Which is smaller: -64 or l?\nAnswer: -64","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 2*c**2 + 5*c + 2. Suppose 46 = 4*d + 6. Let h = d + -14. Let x be b(h). Calculate the highest common divisor of x and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 - (-22 - (-3 + -11)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12) - sqrt(768))\/sqrt(6).\nAnswer: -7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j**2 + 19*j**4 - 22 + 31*j**2 + 2*j**2 + 23 - 2*j**3 in the form o*j**3 + n*j**2 + v*j**4 + p + h*j and give v.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 3*o - 4817 = 0, 5*o + 127 = -d - 842. Which is smaller: -963 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 5:09 AM?\nAnswer: 2:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tvnqx. What is prob of sequence xn?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -58992515, -117985033, -176977549, -235970063, -294962575, -353955085?\nAnswer: -412947593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-142)\/(-4) - (-2)\/4. Let g(h) = -h**3 - 21*h**2 - 52*h + 45. Let x be g(-18). Calculate the highest common factor of x and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5307*f**3 + 894*f**2 - 5180140?\nAnswer: 15921*f**2 + 1788*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 5\/8 of a gram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 3*r, -3*z - 2*z - 15 = 0. Calculate the lowest common multiple of (-21)\/r*32\/(-12) and 22.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yymzpmphspyzsmspspsp. Give prob of picking 1 h and 1 m.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 250 - 335 - (-231 + 7).\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + -30?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 < 723?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-3)*a)**(1\/4))**(-3\/25))**(2\/5) assuming a is positive.\nAnswer: a**(3\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1821, 1831, 1837, 1839, 1837, 1831, 1821?\nAnswer: 1807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2972 + 3002. Solve 3*q + a = 13*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = v + 1. Suppose -3*u - v = -2. Let a(t) = t**3 + 6*t**2 + 5*t + 5. Let h be a(u). Solve -h*y + 5 + 15 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 4*h - 12 = -89, 2*r - 3*h + 174 = 0. Let v be (-4)\/(-16) - r\/12. Suppose 3*u = 3*w - 24, 3*w + 3*u + 7 = 1. Solve -v = y + w*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(704)*-2 + sqrt(704) - ((1 + sqrt(704))**2 + -3).\nAnswer: -698 - 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -298*t + 591*t - 5*t**2 - 293*t. Let b = -1 - -2. Give c(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**4)**43\/(t**(-7)*t\/(((((t*t**(2\/25)\/t)\/t)\/t)\/t)\/t)) assuming t is positive.\nAnswer: t**(4352\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 24*g**2. Let i(o) = -19*o - 4. What is i(w(q))?\nAnswer: -456*q**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/(-4)*(-98)\/21. Let n = -5 - p. Is n equal to -1\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and -2 - 6*(-12)\/9.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.79 - -0.09. Let g = -1.6934 - r. What is g rounded to three decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -383 - 0\/(5 - (-3 + 5)). Let d = h - -844. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18) + 0 - (-5 + -1 + sqrt(2)))**2.\nAnswer: 24*sqrt(2) + 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16 - 32. Let f = 16.2 + v. Let u = 34.5 - 35. Which is the biggest value? (a) u (b) f (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13032*k**5 + 15450*k.\nAnswer: 260640*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.713 to 1 decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + 45643?\nAnswer: 45642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 + 13. Suppose 6*t = 2*t + c. Suppose -40 = 3*p - j - 139, 0 = -t*p - j + 71. Is 17 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 637 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 4, d: 2, v: 2}. What is prob of picking 1 v and 3 b?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -4177230950 take away 3?\nAnswer: -4177230953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 45*c**2 + 21135*c + 14049. What is w(-469)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -4*r - 3*w, -3*r + 5*w - 13 = -0*w. Suppose -2*h - r = -14. Let u(p) = 0 - p + 5 - 1 + 1. What is u(h)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.012 - -0.012049. Round z to five dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 - 5*u**2 + 5*u - 3. Let k(z) = z**2 - z - 2. Let c be k(-2). Let q be m(c). Is 3 + -1*q*-2 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2433065 (base 9) to base 14\nAnswer: -2655b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1216))**2 - (0 + sqrt(684))**2.\nAnswer: 532","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(304) + 1)*3.\nAnswer: 12 + 48*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence neee when four letters picked without replacement from eeeeeeneneeee?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 30064.7 decades?\nAnswer: 3607764","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -242808.\nAnswer: 5\/242808","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6506939 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.9 + 1.5. What is the smallest value in -3, v, 4\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a millimeter in micrometers?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f**3 + 35*f**2 + 140*f + 100 = 0 for f.\nAnswer: -2, -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04789 rounded to 2 dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -4916 at most as big as -4914?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4 - 4 - 0)\/(7 + -5). Let s(x) = -x**2 + 4*x + 4. Let v be s(4). What is the smallest common multiple of 17 and 8 + (r - 4\/v)?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 5:21 AM?\nAnswer: 6:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 38886 to the power of 1\/2, to the nearest integer?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s + 8. Let w be d(-6). Suppose 3*c - w*l = l + 3, 2*c - 7 = -3*l. Suppose 4*j - 12 = x, -4*j - 6*x = -c*x - 32. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 + 0)\/(-8 + 9). Suppose -9 = -2*o - 1. Suppose -3*x = 5*j - s*j + 23, -j = -o*x. Is 0 at most as big as x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/4128 and -143\/30.\nAnswer: 20640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 8*i + 5. Let z be y(-3). Let s = -17 - z. Suppose -4*b = 4*a - b - 136, 2*a = -s*b + 66. What are the prime factors of a?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17705 is divided by 1203?\nAnswer: 863","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.94 - 15.96. Let l = -14 - u. Let p = -0.9 + l. Which is the third biggest value? (a) 2\/9 (b) p (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n - 5. Let f be h(4). Suppose m + 2 = -3. Let w(b) = -b**2 - 4*b + 7. Let g be w(m). Sort f, g, -5 in decreasing order.\nAnswer: g, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6450, -10502, -14566, -18642?\nAnswer: -22730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19716?\nAnswer: 2, 3, 31, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 39860 to the power of 1\/2, to the nearest integer?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 865703989*p**4 + 4*p**2 + 106197544.\nAnswer: 20776895736*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2809247248?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4238 - -5?\nAnswer: 4240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7\/4 + -127\/68. Suppose -p - 17 = -4*o, -16*p = -11*p + 2*o + 19. Sort 5, s, p in ascending order.\nAnswer: p, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 206, 975, 2256, 4049, 6354?\nAnswer: 9171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a tonne in kilograms?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -29255?\nAnswer: -3\/29255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -416*-0.2\nAnswer: 83.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1269945 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 4796.5l?\nAnswer: 4796500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 171173?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.3 + -2.2. Which is greater: d or -0.18?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 + 21*j + 25. Suppose -387 = 8*b - 27*b + 12. What is i(b)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 7557 - 7768 = 11*r, -5*r + y = 4*y + 93 for r.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 11477637?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6001 (base 10) to base 3.\nAnswer: 22020021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of 3*h**6\/50 - 141*h**5\/100 + 36*h**4\/5 - 74*h**3\/5 + 72*h**2\/5 - 3270*h. Let s(l) = 0. What is l?\nAnswer: 2\/3, 1, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3349 - 1567. Calculate the highest common factor of j and 54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of q**4\/6 - 2*q**3\/3 - 4*q. Find the second derivative of c(j) wrt j.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -46, -18, 2, 8, 2\/7 in decreasing order.\nAnswer: 8, 2, 2\/7, -18, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 4\/99, -16, -0.2, 4?\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/34, -3\/2, 71.\nAnswer: -3\/2, 1\/34, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (24640\/(-17920))\/(253\/4)?\nAnswer: -1\/46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 + 38a991?\nAnswer: 38a989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 4*j + 11 + 9, 2*g + 3*j = -8. Suppose -o + 4504 = 5*d - g*o, -4502 = -5*d + 3*o. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 - 5*i**2 - 8*i. Suppose 1 = 3*v + 5*z, v - z - 25 = -2*v. What is the tens digit of k(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -573\/490 - 3\/98. Which is the closest to l? (a) 0.1 (b) -2\/3 (c) 4 (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(132\/27))\/(-53*5790\/(-112519))?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 - (18 - 18)) + 19?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 88785 and 680175.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/148320 and -43\/1920?\nAnswer: 593280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12430030 + 1034?\nAnswer: 12431114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 505*d**2 + 9 + 16*d - 12*d - 506*d**2. What is g(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 148 + 1681 - 815 + 1421 - 2*i.\nAnswer: -2*i + 2435","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-13)*(-1612)\/(-496)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -831.633396 + 1442.6334204. Let h = f - 611. Round h to 5 dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 29695811?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, e: 1, t: 3, u: 4, y: 7}. Give prob of sequence ty.\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 2. Let t = -152 - -152.3. What is the second biggest value in n, 0.2, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the third derivative of -6*u + 0 + 35\/24*u**4 - 3*u**2 + 5\/3*u**3. What is the derivative of f(w) wrt w?\nAnswer: 35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*w = -57 - 21 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -108 - -297. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of 8*b**3\/3 + 9*b**2\/2 - b + 1. Let i(z) = 2*z**2 + 2*z. Determine 9*i(y) - 2*j(y).\nAnswer: 2*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 191093.\nAnswer: 7, 27299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 17, -484, -2015, -5128, -10375, -18308?\n\"Answer: -92*c**3 + 37*c**2 + 32*c + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 9:15 PM?\nAnswer: 9:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1239721*f**4 + 1045697.\nAnswer: -4958884*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*z + 5 - 4*z + 3*z)*(-1 - 2 + 1 + 17*z) as y + g*z + p*z**2 and give p.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 300897713 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -101161349 or -101161345?\nAnswer: -101161349","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 685590601.\nAnswer: 23, 2063, 14449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 68\/28) + (-36)\/14.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -36184 - -11?\nAnswer: -36173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 66804 = 97*p + 66695, 2*y - 3*p - 4 - 6 = -1 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2808*k + 2810*k = 78*q - 4132, -54 = -k - q for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 59915 = 6*v - 3*c, 0 = v - c - 29955. What is v rounded to the nearest one thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6212?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1233, 1224, 1215, 1206?\n\"Answer: -9*a + 1242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 250.38 + -121.77. Let y = 128 - w. What is y rounded to 1 decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y**4 + 8\/7*y - y**2 - 9\/7*y**3 + 0 + 1\/7*y**5 = 0.\nAnswer: -8, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b**(-11)*b*b**(-1\/2)*b**(2\/5)\/(b*(b\/(b*(b\/(b\/(b**(-2)\/b)))\/b*b))\/b*b) assuming b is positive.\nAnswer: b**(-131\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 + 12\/(4\/2). Let x(c) = c + 1. Let r be x(5). Suppose 2*u = r*u - 4. Solve 0 = i - a*g + 4, 2*i + g - u = -3*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 - 59*m - 531. Let l be j(-11). Let g(c) = c**3 + 13*c**2 + 30*c + 2. Let r be g(l). Factor 2\/5*q**r + 2\/5*q + 0.\nAnswer: 2*q*(q + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10118*m**4 - 11*m + 6 + 11*m - 87*m**3 - 2*m**2 + 10116*m**4 to l*m**3 + o*m**2 + k*m**4 + s*m + h and give l.\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*b + 8*b**3 + 30*b.\nAnswer: 8*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 AM and 2:13 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -610 + 697. Let o(a) = 11*a**2 - 52*a + 2. Let f be o(6). Is f not equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9\/29792 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-16)\/(-3) - (-2)\/(-6). Suppose -2*u + 3*r - 4 = f, 0 = 5*r - 5. Which is the smallest value? (a) u (b) -0.2 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 4*b**4 + 360*b**3 + 9008*b**2 + 36960*b - 112896 = 0.\nAnswer: -42, -8, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -650*l + 6. Let y be w(-2). Is 4\/24 + y\/12 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -313*l + 252*l + 229 + 15 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 10*v**3. Let o = -77 + 203. Let w(x) = x**3 + x**2. Let n(p) = -63*p**3 + 126*p**2. Let r(d) = o*w(d) - n(d). Give 56*f(c) - 3*r(c).\nAnswer: -7*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*f - 143 + 143.\nAnswer: 12*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 801.29703 rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 + 5*t**2 + 5*t + 7. Let w be u(6). Suppose -3*r + 3 + 0 = 0. Let j = w + r. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -34491.6 and -0.2613.\nAnswer: 9012.65508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12935446?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -37 - -33. Let s be ((n - -4)\/2)\/(-1). Suppose 3*t - 2*t + 3*h - 13 = 0, -4*t - 4*h + 84 = s. Solve -5*k - t = -0*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.935027 micrometers?\nAnswer: 0.000000000935027","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 302 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 238, 1059, 2428, 4345, 6810, 9823?\nAnswer: 13384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*r - 59 - 21. Let q = 11 - 8. Let o be q - 3*2\/6. Sort r, o, 14 in increasing order.\nAnswer: o, r, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 11 (b) 5330 (c) 4 (d) -29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 - 2*k**2 + 2*k + 1. Let n be l(-2). Let o be 0\/(n\/((-9)\/(-6))). Suppose o - 2 = -2*d. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 19 and 1959?\nAnswer: 1940","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 42*b**6*u + b**3*u**2 - b**2*u + 3*b*u + 2*b - 417*u**2 wrt b.\nAnswer: 5040*b**3*u + 6*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 9 - 1*(2 - 0). Let a(x) = x**2 - x - 9. What is the tens digit of a(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 1 - v**3 + 4 - 4 - v**4 + 0*v**4. Let q(r) = -r**3 - r + 1. Let t(o) = -3*i(o) + 3*q(o). What is the second derivative of t(d) wrt d?\nAnswer: 36*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -3. Let o be n + (-8)\/60*-12. Which is the closest to -0.12? (a) 5 (b) -5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 4*r + 2. Let s(u) = 5*u + 3. Let y = 161 + -167. Calculate y*c(l) + 5*s(l).\nAnswer: l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (15\/3*(-116)\/145)\/(12\/(-69))\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 2*p + 17 = 19, -t - 5*p = -22 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5027, 5019, 5023, 5045, 5091, 5167, 5279, 5433?\nAnswer: 5635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 12*l**2 - l + 19. Let v(m) = -35*m**2 + 6*m - 63. Let g(p) = -16*t(p) - 5*v(p). Let h = -23 + 34. Let c(z) = -6*z**2 - 5*z + 4. Give h*c(w) - 4*g(w).\nAnswer: 2*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0\/1)\/1 - 0. Let t(l) = 24*l - 144. Let o(j) = 12*j - 72. Let s(a) = 5*o(a) - 2*t(a). Let z be s(6). Solve -3*x + u*x - 6 = z for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/7? (a) 5 (b) 0.18 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -8188*s + 376639. Give w(46).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 949?\nAnswer: 13, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lz when two letters picked without replacement from azzzttzzzzazbbblzbzb.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11.35 - -0.95. Let a = z - -10. Sort a, -1\/2, 5.\nAnswer: -1\/2, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 9\/72 - (-510)\/16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 63 + 23. Let w = -59 + k. Calculate the greatest common divisor of w and 108.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*q - 18*q - 1 = 2*a, -5*q - 10 = 5*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 - 1521\/(-135)) + (-91)\/210.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3\/5 - 39*f**2 + 4851*f\/5 + 3267.\nAnswer: (f - 165)*(f - 33)*(f + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide (40\/60)\/((-6)\/(-7749))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -37, -75, -113?\nAnswer: -151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -639 + 639 - 3*m.\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1593, 1592, 1591, 1602, 1637, 1708, 1827?\nAnswer: 2006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 50, -1, 4, 0.1, -1\/2 in increasing order.\nAnswer: -1, -1\/2, 0.1, 4, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4827900?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18146 + -1891. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105*x + 90*x - 2730 = 0 for x.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5075292*l**2*v**3 + l**2*v**2 + 128*l**2*v + 29*l**2 + 2*l*v + 7*v**2 wrt v.\nAnswer: -30451752*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 278 (base 12) to base 3.\nAnswer: 112002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d**2\/3 + 25931528*d\/3 + 84055518051848\/3 = 0. What is d?\nAnswer: -6482882","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 111 divide 974553582?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5.166 + -5.466. What is the fourth smallest value in p, 1\/2, 3.06, 4, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c - 4*c + 4*c)*(452*c + 98 - 183 + 994*c + 85).\nAnswer: 1446*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -5 * 377\nAnswer: -1885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(1\/4)*t*t)\/t)\/(t*t**18))**(-5\/6) assuming t is positive.\nAnswer: t**(355\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together -350611823 and -6.\nAnswer: -350611829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 82609 - 44137. What is the tens digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 11*n**2 - n. Let w be m(1). Suppose 30 = 2*b - w. Suppose 4*a - 87 = -3*y, -2*a + y - 88 + 139 = 0. Solve -v = -5*f - a, -3*f - b = 5*v - 0*f for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.7 in -5, 3\/2, -3, 0.36, 0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1216?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 f, and 1 j when three letters picked without replacement from sryjf.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 8:03 PM?\nAnswer: 7:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 152*-0.13.\nAnswer: -19.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 1.125?\nAnswer: 3.375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2527 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 966\/836 + 107718\/(-91146)?\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + 19. Let i be (-64)\/6 - 2\/6. Let k = i + c. Solve 4 + 4 = 4*l, -3*l + k = n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1128 = 4*u - 4*f, -u + 2*f + 124 = -161. Let l = 2507\/9 - u. Let s = 0.3 - -0.7. Sort s, l, 0.3 in descending order.\nAnswer: s, 0.3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the second derivative of z**7\/70 - 8*z**6\/25 + 231*z**5\/100 - 49*z**4\/10 + 848*z. Solve y(c) = 0 for c.\nAnswer: 0, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 20*b**2 + 8*b + 1. Let c be 2\/(-2)*3 - 3. Is w(c) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/147 and 93\/10.\nAnswer: 1470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1128577562 to the nearest integer?\nAnswer: 1041","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 + (5 - (-62)\/30))*70\/14?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-15)\/(-3 - 2) - -26. Let d = x + 1. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-9) - (-50)\/18. Let m(g) = 2*g**2 + 2*g**t - 4*g**3 + g**3 - 2 - g. Let h be m(2). What is the third biggest value in h, -1\/2, 1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 3:46 AM?\nAnswer: 11:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-120)\/(-210)*(-7)\/(-18).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 51 = 3*c, 21*w + 4*c = 20*w + 42. What is the greatest common factor of 10 and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {u: 2, v: 2, q: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 AM and 2:44 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -6a401 (base 15) to base 11\nAnswer: -211278","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2*d**3 - 46*d**2 + 17. Determine m(23).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and -0.204.\nAnswer: 0.0204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 25\/2*t**3 - 5\/2*t**5 - 5\/2*t**4 + 0*t - 15\/2*t**2 = 0. Calculate t.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, f: 9, r: 4}. What is prob of sequence yfy?\nAnswer: 9\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -60394, -60347, -60290, -60223, -60146?\nAnswer: -60059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/80728 and 73\/24?\nAnswer: 242184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1922.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 478*j - 2*j**2 + 6*j**2 - 236*j - 205*j + 2*j**3 in the form a*j**3 + i*j**2 + v*j + y and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -82, -0.3, -0.1, -2\/5, 1026?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 882712492?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/3 in 2, -1\/4, 0.7, -3\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(-7))\/h**8)**(-14) assuming h is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**3 - 8*o**2 - 36*o + 72.\nAnswer: 4*(o - 3)*(o - 2)*(o + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 - 157. Calculate p(0).\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1020962202?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 73 = -0. Suppose 723 = 5*t + 83. Let x = t - p. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*r - 230*r**2 + r + 229*r**2 to the form z*r**2 + d + x*r and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -766.8 to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 81795\/738 - 111 - (102\/9 + 2)\nAnswer: -27\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -205, -411, -617?\nAnswer: -823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - 13030201?\nAnswer: -13030212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.690271 litres to millilitres.\nAnswer: 5690.271","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dedede. Give prob of picking 1 d and 1 e.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 408 divided by 68.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(891)*-3 - sqrt(891))**2*4*6 + ((sqrt(176)*-1)\/(2*sqrt(324)) + 0)**2.\nAnswer: 166281995\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + sqrt(7) + 2*(sqrt(7) - sqrt(14)\/sqrt(2)) - (sqrt(7) - 3*2*sqrt(7)))**2.\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*i + 42 = 7*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 10*t - 1. Suppose 0*g - g + 3 = 0. Is c(g) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 1024*v**3 - 171*v**2 - 9. Let i(y) = -256*y**3 + 43*y**2 + 2. Let b(n) = 18*i(n) + 4*o(n). What is the third derivative of b(s) wrt s?\nAnswer: -3072","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2228*t**3 - 3102.\nAnswer: 6684*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 2705?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, 12, -33262, 31 in descending order.\nAnswer: 31, 12, 3, -2, -33262","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-5 + -1 + sqrt(2057) + sqrt(2057)) + 2 + (5*(3 + (2*sqrt(2057) + sqrt(2057))*2))**2.\nAnswer: 9922*sqrt(17) + 1851521","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -35*l**2 + 170*l + 26. Let i be c(5). Put -36, i, 4, 0.065 in descending order.\nAnswer: 4, i, 0.065, -36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/130385486 smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 289558 a multiple of 269?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-9) - 52\/(-9). Let j(y) = -y**3 + 11*y**2 - 11*y + 8. Let s(f) = 1. Let k(x) = -j(x) + s(x). Let r be k(10). Solve -r*c + l = -c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7186570?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -3*h - 2*h + 7*h + 20. Let c be f(-9). Suppose 5*s - 5*u - 35 = 0, 16*s = 19*s + 4*u. Solve -s*d = c - 22 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6611396 divided by 1034.\nAnswer: 6394","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2*f**2 - f + 3. Let v(z) = 109*z**2 - 2*z - 2. Determine h(g) + v(g).\nAnswer: 111*g**2 - 3*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2743 = 11*j + 2765 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 17549 and 1288.\nAnswer: 140392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -393 - -276. Let l = u + 306. Is l a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 316 by -16864.\nAnswer: -79\/4216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 67189705 to the power of 1\/2, to the nearest integer?\nAnswer: 8197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -99\/38, -1\/7.\nAnswer: -99\/38, -1, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 30602.71134 rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*m**6 - 5363*m**4 + 672*m**2 + 22*m wrt m.\nAnswer: -480*m**3 - 128712*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17974 is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 - 3*i + 4. Let z be q(3). Suppose -3*m + 5*t = -14, -z*m + 4*t + 17 = -t. Let r be -1*1 + 3 + -2. Solve m*f - 4*f = r for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -2*d, 4*d + 0*d = u - 123. Calculate the remainder when 157 is divided by u.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 7) + 0 + 2 - -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 607 a factor of 26794194?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/(-24) + 39\/12. Solve -22 = 5*z + b for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 108022 divided by -2\nAnswer: -54011","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2 + 3*v - 5. Let c be m(-5). Suppose -327 = -c*o + 128. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 - 253 = -3*a - 3*b, 3*a = 3*b + 327. Let v = -3 + 7. Suppose a + 16 = v*d. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 + 24 + a - 1 + 20 to the form g*a + u and give u.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 9) in base 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -125*k - 3637. Is 4 a factor of q(-49)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/(-22) + 7 + -17 + 18 + -6?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 367267?\nAnswer: 281, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, r: 1, y: 1, g: 1, f: 1, i: 5}. Give prob of picking 2 o, 1 i, and 1 y.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 328.1058 meters to kilometers.\nAnswer: 0.3281058","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.3 - 1.2. What is the third biggest value in -5, i, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 AM and 4:57 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 107.42192 - 0.12\nAnswer: 107.30192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 361*z - 1790. What is s(5)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.1 - -0.9. Let f = -4.95 + p. Let a = -0.050014 + f. Round a to six dps.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 59196014.8322251 + -59201578.832. Let r = 5564 + z. What is r rounded to five dps?\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 4 - 3 + (3 - 5 + 3)*(-3 + 6 - 1))*(-3*b**2 + b**2 + 3*b**2) to the form v*b**2 + p*b + g and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1466764, 2933535, 4400306, 5867077, 7333848?\n\"Answer: 1466771*x - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -40*s**2 + 1. Let k(x) be the first derivative of x**2\/2 - 31. Determine p(k(c)).\nAnswer: -40*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 440\/935*(-2)\/8?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -210 + -1001222?\nAnswer: -1002202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 + 1. Let q be ((-2)\/2)\/(-2 - -3). Give v(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a + 246a3a?\nAnswer: 246a30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum 18334643924782 and 1.3.\nAnswer: 18334643924783.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 33.053 * -3.7\nAnswer: -122.2961","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 33780168 to the nearest integer?\nAnswer: 5812","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/((-6)\/(1 + 5)) + -5. What are the prime factors of ((-9927)\/36)\/((-2 - m)\/(-12))?\nAnswer: 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/1200 and -73\/288.\nAnswer: 7200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggum when four letters picked without replacement from {c: 1, g: 4, b: 2, m: 1, u: 1}.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -44911 by -3.\nAnswer: 44911\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -33614*g**4\/19 + 45962*g**3\/19 - 13188*g**2\/19 + 856*g\/19 - 16\/19 = 0. What is g?\nAnswer: 2\/49, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4855428868 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of 0*i**2 + 0*i - 2\/25*i**5 + 0*i**3 + 8 + 1\/10*i**4. Find r, given that c(r) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and -21?\nAnswer: 10.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 160 is divided by 84\/24*96\/14.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - -0.3. Let d = 0.1 + z. Let n = -17 + 13. What is the third biggest value in 2\/7, d, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 121708?\nAnswer: 2, 30427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**3 - 7*q**3 + 8*q**3)*(-1 + 0 + 2)*(9 - 7 - q + 3).\nAnswer: q**4 - 5*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -645, 340, -18, 0, 3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 1 (b) -7456 (c) -0.1 (d) -2\/7 (e) -17 (f) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cyycscdxcscccyycccdy. What is prob of picking 3 c and 1 x?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2266742 and 184?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3 and 25?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 561066577 + -15?\nAnswer: 561066562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-168)\/240)\/((-2)\/(-4)))\/((-2)\/(-40))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 512477 is divided by 34138.\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1946 * -1215\nAnswer: 2364390","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*g - 4 = -16*g + 5*s, 2*g + 3*s + 6 - 2 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/6 - (-52230)\/(-39375). Let f = q + -99019\/21000. Calculate the common denominator of f and -29\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -613*n**3*u**2 + 2367*n**3 + 2*n**2*u**2 - 1959552*n*u**2 wrt n?\nAnswer: -3678*u**2 + 14202","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*f**3 - 25 + 25 + (-f - 10*f + 13*f)*(2*f**2 - 2*f**2 + f**2))*(1 + 2*f - 1) as w*f**3 + u*f**2 + g*f + z*f**4 + v and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -15659.8 times -28\nAnswer: 438474.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 99e - -67d?\nAnswer: 101b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2 to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of -157*t**6\/120 - t**5\/20 + 13*t**3\/3 - 65*t**2 - 2*t. What is the third derivative of i(f) wrt f?\nAnswer: -942","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - 10011010000001011010101101010?\nAnswer: -10011010000001011010101101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 71568, 143133, 214698, 286263, 357828, 429393?\nAnswer: 500958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3113388.\nAnswer: 2, 3, 197, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11.5392027 + 11.45419. Let u = 0.085 + n. What is u rounded to 6 decimal places?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1538542 to the power of 1\/3, to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10595?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 61625 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-8)\/(-4))\/(1\/20). Find the common denominator of (-3)\/(-12) + 378\/t and -16\/9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1221201 + 1112?\nAnswer: -1220012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dnu when three letters picked without replacement from zhnhgdu?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/36 and -5\/32.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.9 + -2. Let l = -8 + 10. What is the closest to s in l, 1\/3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 294 a factor of 58979711?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 15) in base 14?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -196 divided by 1?\nAnswer: -196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 208.77 + -240.796. Let f = a + 32. What is f rounded to 2 dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a = 40 - 54. Let z = -6 + 12. What is the third derivative of 19*p**a - 8*p**z - 5*p**6 - 32*p**2 wrt p?\nAnswer: -1560*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, 30.2, -0.4, 0.5 in ascending order.\nAnswer: -2, -0.4, 0, 0.5, 30.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 + 4*t**2 + 7*t + 3. Determine c(-4).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -32*s**2 + 5804*s - 2438. What is a(181)?\nAnswer: -266","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1496 rounded to 3 dps?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4 + (-255)\/35 + 3. Sort p, -5, 6.\nAnswer: -5, p, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-104)\/65)\/(1\/(-5))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -28, -54, -98, -160, -240, -338, -454?\n\"Answer: -9*y**2 + y - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -8*c**3 - c - 2. Let p be a(-1). Let f(s) = -s**3 + 6*s**2 + 4*s + 25. Let v be f(p). Solve -o = -v*o - 6 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11523149719 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 230\/(-437)*(-1)\/(-20).\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 529600 to the nearest 10000.\nAnswer: 530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8019815\/96 + -83541. Find the common denominator of (-2)\/(144\/430) - 18\/24 and b.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 642889120?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2332303220 + -102000?\nAnswer: 2332201220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1041 is divided by 14.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of z**2 - 39*z**2 - 95*z**5 + z + 11*z**5 wrt z.\nAnswer: -5040*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 131 - -35. Suppose -f = -16*h - 102. Solve 0*a + h*a = 12 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of 5*r**4\/4 + 10*r**3 - 725*r**2\/2 - 750*r + 1485. Factor v(n).\nAnswer: 5*(n - 10)*(n + 1)*(n + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 - (18\/16 + 0). Let s = 0.05 + 1.95. Let w = -9 - -4. Sort s, w, i.\nAnswer: w, i, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1106*n + 20121 - 36909 = 31876 for n.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + c)*(2 - 7 + 3)*(-c - 50*c**2 + c) to j + q*c**2 + d*c + l*c**3 and give l.\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*k**2 + 5*k**2 - 6*k**2)*(3*k - 1 + 1) + (-2*k + 2*k - k)*(3*k - 2*k**2 - 3*k) as n + x*k**3 + y*k**2 + j*k and give x.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 63.1174nm in kilometers?\nAnswer: 0.0000000000631174","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5125703?\nAnswer: 11, 71, 6563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1035666139 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*j*j*j*j\/((j\/(j**(4\/7)\/j))\/j)*j*j))\/(j**(2\/3)*j)*(j**(-2\/3))**8)\/((j\/j**4)\/(j**(-2\/29)*j)*j**8\/((j*j**(-5))\/j)) assuming j is positive.\nAnswer: j**(-4393\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*((g**(-6)*g*g*g)\/g)\/g*g*g)\/g**(4\/11))**(-9) assuming g is positive.\nAnswer: g**(234\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 538b4 - 2?\nAnswer: 538b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 106 = -298. What is the tens digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 0 + 0)*(2 - 2 - b) + 1 + b - 1 + (-b + 4*b + 0*b)*(1 - 1 + 2))*(18 - 9 - 2*b**2 - 16).\nAnswer: -16*b**3 - 56*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -140*l*t**3 - 626*l*t - 4*l + 9687 wrt t?\nAnswer: -420*l*t**2 - 626*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/3 at least as big as -142?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2*i**2 + i - 6. What is the units digit of b(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and -0.5911?\nAnswer: 0.11822","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4347 and 898173.\nAnswer: 18861633","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -5 + 15. Solve 4*c + 14 = 2*t, 2 = -c - n*t - 4 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**2 - 417*m - 414.\nAnswer: -3*(m + 1)*(m + 138)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*n**5\/7 - 200*n**4\/7 + 824*n**3\/7 - 832*n**2\/7 = 0. Calculate n.\nAnswer: -104, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + 14. Let x = c - 13. Suppose 7*k = x*k. Solve k*b + 2 = -b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/24 and 69\/21832.\nAnswer: 65496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 191411445.\nAnswer: 3, 5, 12760763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*w - 2 = -k - 12*w, -5*w = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -15 - 12010.8139\nAnswer: -12025.8139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 9:08 AM?\nAnswer: 1:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 21\/2, 7\/3, -5, -4, -4\/37 in descending order.\nAnswer: 21\/2, 4, 7\/3, -4\/37, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 60\/43 (b) 1 (c) -78 (d) -5 (e) -1\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = l + 188. Let d = 154 - l. Let w = -30 + d. Does 10 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 22 = 5*w, -30 = 2*l + 2*w - 10. Let j(k) = -2*k - 12. Let a(y) = -19*y + 1. What is the least common multiple of a(-1) and j(l)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1401937 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00006997 to six dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(1\/2))**(-1\/39))**(-3\/23) assuming m is positive.\nAnswer: m**(1\/598)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 275294*m + 0*m**3 - 550854*m - 5*m**3 + 275560*m + 3*m**3.\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 63\/22366 and 13\/67098.\nAnswer: 67098","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (5 + 0 - 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = 6*u - 2*u - 8, -1 = -3*m + 5*u for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -453*f - 2520*f - 2473 + 942 - 750*f.\nAnswer: -3723*f - 1531","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -1. Let n(h) = -34*h - 3. Calculate -n(p) + 5*q(p).\nAnswer: 34*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/15*6\/(-4). Let n be (0 - 0) + (-4 - -5). What is the closest to 0 in n, x, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34416010.2 rounded to the nearest 1000000?\nAnswer: 34000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 77 and 121?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m - 1. Let p(t) = 18*t - 8. Let u(k) = p(k) - 8*r(k). Is 17 a factor of u(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*j**2 + 5*j**2 - 29*j**2 to m + o*j**2 + b*j and give o.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -372, -745, -1118, -1491, -1864, -2237?\n\"Answer: -373*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10*a**3*f**2 - 22*a**3*s + a*s - 3*f**2*s + 3*f + 8*s wrt a.\nAnswer: 30*a**2*f**2 - 66*a**2*s + s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -6*q**2 + 140*q + 111. Determine x(24).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94943?\nAnswer: 19, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2295, 9178, 20691, 36870, 57751?\nAnswer: 83370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f\/f**(13\/4))\/f)\/f)\/f)\/(f\/((f*(f\/(f*f*f**12*f*f))\/f)\/f)*f*f) assuming f is positive.\nAnswer: f**(-97\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 2*g**2 - 8 - 89*g + 3.\nAnswer: -2*g**2 - 89*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 5:39 AM?\nAnswer: 6:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (-1 - ((-6 - 3) + 7)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17183113*c**3 - 234404.\nAnswer: 51549339*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8*(182\/(-16) + 12).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5254 or -5220?\nAnswer: -5254","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 41692938 and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 133 and 114?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r + 2703943 = 14*r - 2*h, 0 = 5*r - 7*h - 4506601. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6996.75 <= -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.03694? (a) 5 (b) 51 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*z**5\/2 + 115*z**4\/2 - 325*z**3\/2 - 1695*z**2\/2 + 2250*z = 0. What is z?\nAnswer: -25, -4, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/4 - 45 - 2. Let w = -40 - g. Suppose 0 = -a + m + 105, a - 2*m = w*a - 553. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*i + 6 = 45*i + n, -5*i - 2*n - 6 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*g - 90 = -0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 356\/2 - -10*(-10)\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1026?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 79495\/17122*11\/65?\nAnswer: 11\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 6.73 * -0.017\nAnswer: -0.11441","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 PM and 3:02 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -5*t + 35. What is q(-7)?\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d = 3*d - b + 25, 0 = 4*b. Solve 3*a = d*a - 8 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-92)\/(-1932))\/(0 + -2*(-2)\/(-6)).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6812642581 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -42*c**2 + 13*c - 2. Let q(h) = 337*h**2 - 111*h + 16. Let o(u) = 17*k(u) + 2*q(u). Give o(-1).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -3*g - 7. Suppose 3*i - 14 = -0*i + 5*k, -i + 7 = -4*k. Suppose 3*o - 7 = b, -5*o - b - i*b + 6 = 0. Are o and g unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + x**2 + 1146*x**4 - 1 - 1124*x**4 - 22*x**3 to a*x**2 + w*x + i*x**4 + f*x**3 + s and give i.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/10)\/(278\/(-695))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 AM and 6:13 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*f + 2*f. Let z be (7\/(-7) - -2)*5*1. Let t(s) = -s**2 + z*s**2 - f*s**2 + 0*s**2. Let v(a) = -3*a. Calculate v(t(c)).\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of x**3\/3 - x**2\/2 + 4*x + 757. Let s = -10 + 5. Let p(w) = w - 1. What is s*l(o) + 6*p(o)?\nAnswer: -4*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 - -1671235?\nAnswer: 1671241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2*z**3 - 116*z**2 + 112*z + 129. Give s(57).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 174*l - 58*l - 63*l + 944 - 54*l. Let c(m) = m**2. What is c(r(f))?\nAnswer: f**2 - 1888*f + 891136","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14 - (12 + 3)) + (-1 - -8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 33*m - 5*m**4 - 41*m - 19*m**4 wrt m.\nAnswer: -288*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 17 + 18. Let z be (2 + y)\/(2\/6). Suppose 2*a + 2 = 8. Calculate the highest common factor of a and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25699.85 litres?\nAnswer: 25699850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3138*u**2 + 3140*u**2 - 50*u + 27*u + 23*u.\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + 0. Suppose 0 = f*z + z - 15. Is z a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23 + 4. Suppose r + 2*a = 14, -5*a = 3*r - 2*a - q. Solve r*c - 10 = -5*h, 0 = -5*c + h - 0*h + 27 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q, 1 l, and 1 p when four letters picked without replacement from kknlqnqqqnkpkq.\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 5 - (2 - 16)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does -98908238 = -98908236?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 65296441, 130592878, 195889313, 261185746?\n\"Answer: -b**2 + 65296440*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/(t\/(t*t**(3\/10)))*t))\/t*t**(-1\/6))**15\/(((t\/(t**2*t*t))\/t)**(-21))**21 assuming t is positive.\nAnswer: t**(-1801)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14333, 28670, 43007?\nAnswer: 57344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3440\/(-180) + 20 + -2 + 2.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + a - 12 - 2, 2*d + 3*a = -30. Let r(w) = 2*w**2 - 3*w + 1. Let b be r(3). Let i = b + d. Put i, -3\/7, 0.4 in descending order.\nAnswer: i, 0.4, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -7*x**3 - 6*x**2 + 58*x + 6. Let h(k) = -13*k**3 - 11*k**2 + 117*k + 11. Give 11*g(l) - 6*h(l).\nAnswer: l**3 - 64*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 20\/(-6) + 2\/(-3). Let y = 383\/3 - 129. Let q = 13\/12 + y. Which is bigger: a or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14333*n - 29*b + 21 = -14337*n, 4*n + 2*b - 4 = 3*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3*((-557)\/(-3) - -2). Let f = t - -177. Suppose 0 = 12*c - 16*c + f. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16\/1101 + 74071\/4869723. Let o = s - 349489\/106152. Find the common denominator of -17\/16 and o.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 + -2)*(-135116)\/204. Let z = 41686\/21 - v. What is the common denominator of z and 4\/(-14) + (-1191)\/(-567)?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/23 or -34436?\nAnswer: -34436","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-64)\/59904*-117*-856.\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of c*y**5 + 14*c*y - c - 8*y**5 + 7*y**3 + 6*y**2 wrt y.\nAnswer: 60*c*y**2 - 480*y**2 + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 196586 is divided by 24569.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/4 - 589\/(-342)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*a**2*t*w + 2*a**2*t - 2*a**2*w + 438*a**2 + 1323*a*w wrt w.\nAnswer: -6*a**2*t - 2*a**2 + 1323*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 - x. Let c be f(0). Suppose 5*v + 25 = c, 0 = -5*k - v - 4*v. What is the remainder when 10 + 2\/(-3 + 1) is divided by k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -47 - -45.17. Let n = v - -0.03. Let d = -2 - n. Which is the third biggest value? (a) 0.3 (b) d (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/9*4*3. Suppose -3*b = -s - 23, -6*s = -s + g*b + 39. Let r = s + 24. What are the prime factors of r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 5*f. Suppose 2*u = 3*u + 228. Let l be (-2)\/8 + u\/(-16). Let w(p) = 14 - l - 2*p. Give w(a(v)).\nAnswer: -10*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 119 (base 10) to base 6.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 3*g**2 + 190. Let c(i) be the first derivative of i**2 - 333. Give f(c(t)).\nAnswer: 12*t**2 + 190","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 12\/(-20) - 2740\/(-25). Let k = -76 + i. Differentiate 3 - k*g + 31*g + 12*g with respect to g.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:15 AM and 11:15 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -7*u**2 - 3*u + 3. Let y be z(-3). Let a = y - -107. Let r = a + -33. List the prime factors of r.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*m**4 + 2*m**4 + m**4)*(-2*m - 2*m + 6*m) + 5*m**5 - 2*m**5 - m**5.\nAnswer: -2*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-2)*(-2 - (-5)\/2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 5*y - 20 = -3*f, -16 = -5*f - 4*y. Suppose f = -28*v + 20 + 64. Calculate the greatest common factor of v and 81.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 160 and 1200.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40 - 15 - 35944*h - 5 - 20.\nAnswer: -35944*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-125)\/(-150))\/((-40)\/(-918)) - 21\/168\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (3\/2)\/(6 + 18\/(-4)) and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c - 5*x - 44 = -43, c = -x - 1. What is i in -12\/5 + 12\/5*i - 3\/5*i**c = 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13632 - -13688. Calculate the greatest common divisor of 15512 and t.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4424 - 4?\nAnswer: 4420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**2 + 5*l + 7. Let i be p(6). Let o(t) = -2 - t + 53*t**2 - i - 2*t + 36*t**2. Is o(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35.4 rounded to the nearest integer?\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 154.912 + -155. Let x = f - 0.112. Put x, 2, -2\/19 in increasing order.\nAnswer: x, -2\/19, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 + 3*f - 4. Let v be c(5). Suppose 0 = 2*j - 0*j - v. Is j a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 331, 1352, 3063, 5470, 8579, 12396, 16927?\nAnswer: 22178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 2*c**2 + 4*c. Let s be f(-8). Let x be s + 0 + 0 - 1. Suppose 0 = -7*k + 12*k - x. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-32)\/(-60)*-1 - (-21)\/(126\/8)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - (-58 + -3 + -6 + 20)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 AM and 4:41 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 2*w + 25 = 0. Let y(t) = -t**2 + 6*t - 2. Let n be y(w). What is the third derivative of -11*s**3 - 11*s**4 + 0*s**2 + 11*s**n - 5*s**2 wrt s?\nAnswer: -264*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -243 divided by -81.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 247974?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 8*g + 5. Let t(j) = -7*j - 4. Let k(i) = 5*t(i) + 4*u(i). Let h(z) be the third derivative of -z**4\/12 + 8*z**2. Give k(h(f)).\nAnswer: 6*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 515, 2078, 4685, 8336, 13031, 18770?\nAnswer: 25553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 42 = 5*p, -b - 5*p + 12 = -12. Put -1, b, -58, 3 in decreasing order.\nAnswer: 3, -1, b, -58","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 80316, 160635, 240962, 321303, 401664, 482051?\nAnswer: 562470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v + 1. Let r(g) = -g**2 + g - 1. Let b be 115\/15 + 1\/3. Let u be (-2)\/b - 27\/(-12). Give u*r(m) + 2*c(m).\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -6*v**2 - 14*v - 65. What is o(-9)?\nAnswer: -425","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1023400 (base 6) to base 7.\nAnswer: -265614","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*z + 901 = 781. Is z equal to 135\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/3996 and -61\/6660.\nAnswer: 19980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-70357)\/(-3705) + -19)\/((-1)\/5)?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, l: 1, m: 1, y: 2, x: 2}. Give prob of picking 1 l, 1 f, and 2 x.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 - 16*b**2 - 5*b - 21. Let a be f(-16). Suppose 25 + a = 6*o. What is the second derivative of -17*u + o*u**2 - 3*u**2 + 11*u + 43*u wrt u?\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -1*-6*((sqrt(36)\/(sqrt(36)\/sqrt(3)) - sqrt(3) - (sqrt(3) + -1 + 2)) + 1 + (sqrt(120)\/sqrt(4))\/sqrt(10))*-2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/35670 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 1098 = 2*v, 3*g + 2*v + 1500 = -147. Let f be g\/(-27) - 2\/(-3). Let x = f + -6. List the prime factors of x.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*t - 9*t + 12*t)*(18*t + 23*t - 3*t).\nAnswer: -532*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-10)\/(d\/d**3) assuming d is positive.\nAnswer: d**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (10\/(-3))\/((-3)\/18) and 1\/((-4)\/(-72))*1.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lk when two letters picked without replacement from {k: 6, l: 4}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 43308 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 5700, 11385, 17072, 22761, 28452, 34145, 39840?\n\"Answer: p**2 + 5682*p + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 21417 to the power of 1\/2, to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -77220 greater than or equal to -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -4*u + 2*s + 7, -2*u = 3*s. Solve u*i + 2 = 2*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of b**3\/3 + 3*b**2\/2 + 3*b - 1. Let f be y(-3). Suppose 5*t = -0*x - x - 3, 4*x - f*t = 11. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 - 6. Suppose l - 2*k + 50 - 437 = 0, 1883 = 5*l + z*k. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 o when four letters picked without replacement from xxxxoxoxoxxxooxxxx.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1885547681?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 162*i**4 - 13968*i**3 - 480274*i**2 + 47188480*i - 46694400 = 0 for i.\nAnswer: -57, 1, 640\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1, -2\/7, -0.01, 11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4346 and 0.1.\nAnswer: -434.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1762 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the second derivative of t**3\/3 - 2*t**2 + 4*t. Suppose 411 = -2*o - 75. Let b = 239 + o. What is f(b)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (3 + (-33)\/9)*-6?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16847, -33852, -50863, -67886, -84927?\nAnswer: -101992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.012 * 0.02.\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 997627 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -10011 (base 6) in base 8?\nAnswer: -2427","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(288) + -3.\nAnswer: -3 + 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6383*v + 65859 + 87333 for v.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 20 = 4*h, a + 26 = -5*h + 15. Let o be (a\/(-9))\/(28\/(-42)). Determine r so that -2 - 4\/3*r + o*r**2 = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 728 divide 5053994?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 14 = l, 3*h - 4 - 2 = -3*l. Let d be ((-20)\/8 - -3)\/h. Which is the second smallest value? (a) -0.5 (b) -1 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 - 9*j**2 + 3. Let z be c(-9). What is the third derivative of -3*o**2 - 7*o**z - 6*o**2 - 9*o**2 + 16*o**3 wrt o?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4535 divide 525769760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4327428?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 26\/4 + (-15)\/(-30)*-12\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 2*a = 20664, -6 - 3 = -3*a. Does 33 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -38*c - 528. Let y be j(-14). Solve 0 = 418*z - 416*z + y for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.15 and -101.\nAnswer: -15.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2530*d**3*g*u - 35*d**2*g*u - 25*d**2*g wrt d?\nAnswer: 15180*g*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**8*(q*q**(2\/19)*q)\/q)\/(q\/((q**(-2)*q)\/q*q))**(12\/5) assuming q is positive.\nAnswer: q**(409\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17, -39, -65, -101, -153, -227, -329, -465?\nAnswer: -641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 315*h + 4. Let o(y) = 48513*y + 618. Let f(p) = 2*o(p) - 309*s(p). Let i(k) = 2*k. Determine f(i(c)).\nAnswer: -618*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -338\/7 (b) -0.08 (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*w - 11*w + 8*w + 4*w - 81 + 73.\nAnswer: 6*w - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8088978259 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 5*o - 18 = -3, -o + 3 = -5*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - 0*t + 3*t - 7, 2*t - 8 = h. Suppose -4*j - 6*n + h*n = -24, -2*j + n = 0. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 59*i**2 + 3*i - 1. Let p be t(1). Let a = 65 - p. Find c, given that 6*c**4 + 6*c**4 + 0*c**a - 9*c**4 + c**5 = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*d = 2025 + 2045. Let n = d + 377. Solve -3*i = 2*i + 3*u + 1, 5*u + n = -3*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i*i\/i**5)\/(i\/i**(-2\/3)))\/(i**(-2\/9)*i*i*i\/(i\/(i*i**(-1\/6))))*(((i**(-2\/13)\/i)\/i)\/(i\/(i\/((i*i**(-5))\/i))))**(6\/5) assuming i is positive.\nAnswer: i**(-3349\/1170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -5*b + 1. Let x(l) = 8*l - 1. Determine 7*f(a) + 5*x(a).\nAnswer: 5*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4398259*y = 4398175*y - 5796 for y.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - 11. What is the units digit of ((-14)\/6)\/(5\/h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11121021 (base 3) in base 15?\nAnswer: -eda","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 346 - 203. Suppose -o + 19 = 64. Let x = -32 - o. What is the highest common factor of x and p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3211*w**3 + 6339*w**3 - 3181*w**3.\nAnswer: -53*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1028654 - 14046249.\nAnswer: -13017595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 40 = -44 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 7:05 PM?\nAnswer: 1:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*n**5 - 212*n**4 + 279*n**3 + 332*n**2 - 164*n = 0. What is n?\nAnswer: -1, 0, 2\/5, 2, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 + 0.04983326364\nAnswer: -0.25016673636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9770, -19564, -29368, -39182, -49006, -58840, -68684?\nAnswer: -78538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(-4) + (1 - -2). Let p be 226\/4 - h\/8. What is the smallest common multiple of p\/6 + (-3)\/9 and 3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -369269370 divided by 84870?\nAnswer: -4351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 157, 170, 201, 268, 389, 582, 865, 1256?\n\"Answer: 3*j**3 - 9*j**2 + 19*j + 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 7.1314, -3 in decreasing order.\nAnswer: 7.1314, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 106*j**3*o**3 - j**3 + 7*o**2 wrt o?\nAnswer: 636*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -78704 - -78709. Let f = 10 - 17. Let t = 5 + f. What is the third biggest value in 1\/2, t, y?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 38 - 63. Suppose 0 = -19*g + 16*g - 114. Let u = g - -35. Sort -1\/3, v, u in descending order.\nAnswer: -1\/3, u, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4794509 divided by 26489\nAnswer: -181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/234237, 1\/2, -2?\nAnswer: 2\/234237","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r. Let f(a) = -8*a**2 + 37423*a. Calculate f(h(v)).\nAnswer: -8*v**2 - 37423*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 245016260 to the nearest one million.\nAnswer: 245000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 2 + 6 + 7*w + 8*w**2 - 9*w**2 + 2. Let o be p(7). Let k be (25\/o)\/(5\/12). Let f(r) = r**2 - 4*r - 4. Calculate f(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -932 (b) 4 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (198\/15)\/(6\/80). Calculate the greatest common factor of 16 and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -250 divided by -14414\nAnswer: 125\/7207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9 times 4784?\nAnswer: -4305.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 407 is divided by 82?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.45 in -3\/8, -5, 25, -0.02, 0.1?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 2130*g. Let y(l) be the second derivative of l**3\/6 + 626*l + 2. Determine a(y(m)).\nAnswer: 2130*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - ((9 - -6) + -16)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 78, 331, 752, 1341?\n\"Answer: 84*p**2 + p - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12645 and 3331255?\nAnswer: 1405","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15 + -11. What is the derivative of -1 + 2 - t**d + 2*t**4 wrt t?\nAnswer: 4*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -1, -159, -145?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-33)*70\/(288120\/1617)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 546469 to the power of 1\/4, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 41 or 540\/13?\nAnswer: 540\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7420 and 7980?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -185 or -0.2?\nAnswer: -185","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 423?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 7:01 PM?\nAnswer: 10:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1299635870?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -845659, -845600, -845541, -845482?\n\"Answer: 59*h - 845718","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*a**3 + 2*a**3 + a**3 + (-2 + 0 - 2)*(-a**3 + a - a) + a - a**3 - a - 25*a + 25*a + 9*a**3 + (2*a - a - 2*a)*(3*a**2 + a**2 - 5*a**2) - a**3 - 3 + 3.\nAnswer: 21*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 4*y**2 - 2*y + 3. Let l be v(1). Suppose -11 = -6*z - l. Which is the nearest to -4? (a) 3 (b) z (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -55, -156, -323, -556, -855?\nAnswer: -1220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -7050, -1 in decreasing order.\nAnswer: 6, -1, -7050","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3262 - 29326\/9. Let q = 1555\/738 - 27\/82. Suppose j - q*c + 2\/9*c**2 = 0. Calculate c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -4*g + 4*u + 21, -3*g + 7 = -2*u. Let b be 1\/(g\/(-9)) - -3. What is the common denominator of (-15)\/b*(-69)\/(-15) and -1\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2321982 and 702.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 69.74273 litres to millilitres.\nAnswer: 69742.73","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 94500 to the nearest one thousand.\nAnswer: 95000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 43211979?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4cac (base 13) to base 11.\nAnswer: -8262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 37*(-2)\/18 + (210\/51 - (-518)\/(-4403))?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 = -2*l + 11. Is l 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 59\/95648 and 121\/40?\nAnswer: 478240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1425717*j**4 + 91319*j**2 - 3*j - 2 wrt j.\nAnswer: -34217208*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 30033323 (base 5) in base 4?\nAnswer: 321302221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/2958 and 43\/51678.\nAnswer: 878526","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 PM and 9:30 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 15) to base 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d**5\/5 + 124*d**4 - 10132*d**3\/5 + 29632*d**2\/5 - 12338*d\/5 - 7788\/5 = 0. What is d?\nAnswer: -118, -1\/3, 1, 3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/(-10)*1\/2*-1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 4*m + 52, l - 2*m + 4 - 10 = 0. Suppose 14*n + 28 = l*n. What is the lowest common multiple of n and (-1)\/(-4) + 238\/8?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*t**2)*(-2*t - t + 4*t) + (24*t - 13*t + 48*t)*(3*t**2 - 3*t**2 + 3*t**2).\nAnswer: 179*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.4, 65, 9, -45, 5\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 35 - -14a48?\nAnswer: 14a81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 579886, 579979, 580072, 580165?\nAnswer: 580258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.105615*37.\nAnswer: -3.907755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23 + (147 - 135) + (0 - 4) + 2 + -1.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o + 60 = 72. Let d(h) = 4*h + h**o + 3*h - 8*h + 2 + 1. Let p = 27 - 23. What is d(p)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 29437 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 505542?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 8773 from 2.17.\nAnswer: -8770.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -0*k + 12. What is the remainder when 18 is divided by k\/2 + (-51)\/(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7*5\/(-700)*-16*-1*5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 266?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(70)\/((sqrt(10) + sqrt(60)\/sqrt(6))*-5) - 6*(sqrt(700)*2)**2).\nAnswer: -16797 - sqrt(7)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2139.03786 - 2139. What is h rounded to three decimal places?\nAnswer: 0.038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 6*t = -7*t + 6, -h - 3*t = -10 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 68 - 68. What is the nearest to 4 in -2\/5, a, -5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 736, 2226, 3716, 5206, 6696, 8186?\n\"Answer: 1490*i - 754","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21 and 372?\nAnswer: 2604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, -1, -3, -0.01, 116?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138 = 5*c - 8*a - 50, -37 = 2*c - 5*a for c.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cqattaqqtctqtttcqn. What is prob of picking 1 n and 1 q?\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 4*a - 5808 = -2*i, 0 = a + 4*i - 1459. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 996?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 11*h**3 - 9*h**2 + 10*h + 1. Let j(b) = 24*b**3 - 19*b**2 + 21*b + 3. Let p(a) = 6*j(a) - 13*r(a). Determine p(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 9*z = -16, -4*j + 47*z - 44*z + 4 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*x = p + 30*x - 930, 0 = 2*p + 3*x - 1848. Does 51 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 144\/5 + 20\/100. Let q be (31 - j)*137*2. Suppose -q = -4*h - l, -6*l = 5*h - l - 670. Does 22 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 218 is divided by 135?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1*-5 - (2 + -46928)\/9 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 8 = 2*z. Let i be (-3)\/8 + (-18)\/(-48). Solve i = -g - 3 - z for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (80\/1700)\/((-4)\/10)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 841.9 - 807. Let g = f - 70.9. Which is the third biggest value? (a) -0.3 (b) 0.8 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*c - 2*c - 119 + 33 + 41 - c**2 + 43 - c**4 as v*c**4 + p + k*c**2 + i*c + s*c**3 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3079 + 3080.567. What is n rounded to one decimal place?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**4\/4 + 1974558*a**3 + 7797754641611*a**2\/2 - 7797760565286*a + 15595525079689\/4.\nAnswer: (a - 1)**2*(a + 3949117)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of -i**7\/315 + i**6\/40 - i**5\/15 + i**4\/18 + 10*i**2. Factor t(f).\nAnswer: -f*(f - 2)**2*(2*f - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -137*k + 2*s + 3288 = -136*k, -5*k + 4*s + 16416 = 0. List the prime factors of k.\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1113*d*l**3 + 59*d + 126*l**3 - 4*l**2 - l + 12 wrt d.\nAnswer: 1113*l**3 + 59","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 1)*(0*a**2 + 4*a**2 - 2*a**2)*(26 + 112*a + 112*a - 216*a).\nAnswer: 16*a**3 + 52*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16935, -21, -483 in ascending order.\nAnswer: -16935, -483, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 5*z**2 - z**3 + 8*z**2 - 5*z**2 + z - 3 - 3*z**2. Let p be y(5). Factor 6*d - 2 - 2*d**3 - d**p + 4*d**3 - 5*d**2 + 0*d.\nAnswer: 2*(d - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7575*y**6 - 11*y**5 - 4*y**4 + y**2 + 7083*y - 38 wrt y.\nAnswer: -909000*y**3 - 660*y**2 - 96*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -153*n + 48 = -149*n. What is the smallest common multiple of n and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.35 * 5.33.\nAnswer: -1.8655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -986 times 0.39?\nAnswer: -384.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lmmo when four letters picked without replacement from {o: 4, m: 6, l: 2, c: 4, i: 1, x: 2}.\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(272) + -2 + 5 + 5 + sqrt(272) + 2)**2 + -2*(0 + sqrt(272)) + 3.\nAnswer: 152*sqrt(17) + 1191","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 129628059?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1554 - -1562. Calculate the greatest common factor of 106 and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -725 + 4761*i - i**2 + 725.\nAnswer: -i**2 + 4761*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 13598?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + u + 5)*(-3*u**2 + 3*u**2 - 29*u**2).\nAnswer: -29*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = -0*i + 2*i. Let g = i + 41. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1114728 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - -1) + -15 + 15.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*a - 12 = -30*a, 3*q + 4 = -4*a. Sort -14, -3, q in increasing order.\nAnswer: -14, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 6 + 4. Is b a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-104)\/26*(-3)\/2 + -9.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (15 - (2 - 4)) + 3. Let s be (-5)\/(-2)*(-16)\/g. Let d be (0 - -1)*s\/3. Which is smaller: -0.2 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 - 29*-2 - 2. Suppose -3*a = 2*a - c. List the prime factors of a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 153453158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 AM and 5:35 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2 + 41*f + 114. Let w be t(42). Solve -z + 37*z - w = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 2294405.\nAnswer: -1\/458881","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2280, 2256, 2208, 2130, 2016?\nAnswer: 1860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -148 = -3*u - u. Suppose o - j - u = 3*j, -4*o - 3*j = -53. Does 17 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (2934\/(-2445))\/(3\/350*-2) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 897025 or 897043?\nAnswer: 897043","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h - 2. Let z be v(-10). Suppose -11*b = -z*b. Suppose b*t = -2*t. Let o(x) = x**2 + x + 4. Determine o(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 285 + -258. Let t = -32.4 + 59. Let a = t - c. What is the closest to a in 0.5, 4, 3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -22*o**4*r**3 + 6*o**2*r**3 - 5*o - 116*r**3 wrt o.\nAnswer: -264*o**2*r**3 + 12*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 16) to base 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2458, 9552, 28788, 66238, 127974?\n\"Answer: 1012*h**3 - h**2 + 13*h + 1434","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = -5*k - 9, -7*p - 36 = -1182*k + 1187*k for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3575 and 38399218.\nAnswer: 959980450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10710, 42885, 96528, 171639, 268218, 386265, 525780?\nAnswer: 686763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*s**3 - 4*s**3 - 14*s**3 - 10*s**3 + 38*s**3.\nAnswer: -10*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 59509 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 30*b. Let y(x) = 2*x**2 - 17*x**2 + 7*x**2 + 7*x**2. Calculate y(d(s)).\nAnswer: -900*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2 - 2627*n - 5680. Let r(s) = -880*s - 1893. Let f(v) = -2*j(v) + 7*r(v). What is the first derivative of f(b) wrt b?\nAnswer: 4*b - 906","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 141 - 6. What are the prime factors of w?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 PM and 3:30 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1.1 times 1332\nAnswer: -1465.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 245 + -349. What is the common denominator of 91\/12 and (1 - 1) + 897\/d?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-four fifths of a litre?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**2 - r - 14. Let q be y(0). Suppose -4*t + 4*w - 11020 = 0, w - 298 = -294. Calculate the remainder when (-1 + 3)\/(3*q\/t) is divided by 44.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1367, 8\/3, 6, 2\/15, 0.2 in increasing order.\nAnswer: -1367, 2\/15, 0.2, 8\/3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of n**5\/60 - n**4\/24 - 11*n**3\/6 + 35*n**2. What is the least common multiple of 26 and r(4)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {o: 1, p: 1, f: 1, i: 2, r: 1, g: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 1, -33\/14, 6, 0.41?\nAnswer: 0.41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 589 - 180. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1076942055.\nAnswer: 3, 5, 7, 3109, 3299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4319 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 412 - 263. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 123\/(-9) + (-2)\/(-3). Let m = -28 - o. Let s be (36\/(-30))\/(6\/m). Solve 0*a = -3*a + s for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 5*s**2 - 266*s - 87. Let u be t(57). What is the greatest common factor of 36 and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -57446, -57444, -57444, -57446, -57450, -57456, -57464?\n\"Answer: -l**2 + 5*l - 57450","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10028 is divided by 147.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m - 4 + 4)*(-5*m**3 + 6*m**3 + 0*m**3) - 30060*m + 30060*m + 2549*m**4.\nAnswer: 2548*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 800864, 800855, 800842, 800825, 800804, 800779?\n\"Answer: -2*j**2 - 3*j + 800869","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 18*w**2 + 61*w - 70716. Calculate q(61).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -6848, -6915, -6966, -6995, -6996?\n\"Answer: p**3 + 2*p**2 - 80*p - 6771","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, -34, -57, -84, -115, -150, -189?\nAnswer: -232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -27 - -112. List the prime factors of r.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 6 = i, 3*i + i = 4*r. Suppose 0 = 4*t + 4*p - 12, -p = 2*t - 7*t - r. Solve t = -0*q - q + 4 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1, -0.02673, -4?\nAnswer: -0.02673","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*a - 4*a - a**3 + (-3 + 1 + 1)*(0*a**3 + 0*a**3 + a**3) + a**3 + 2*a**3 - 4*a**3 + (-2*a**2 + 6*a**2 - a**2)*(a - 2*a + 3*a).\nAnswer: 3*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10554967.\nAnswer: 307, 34381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -67600000 rounded to the nearest 1000000?\nAnswer: -68000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/(-5))\/((-81)\/(-270)). Solve l = -2*b + 3*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -41, -42, 1, 41 in decreasing order.\nAnswer: 41, 1, -41, -42","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 2 - 2 - 233*x**3.\nAnswer: -233*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5)\/(-35) + (-837)\/(-21). Suppose s = -o + 6*o. Calculate the greatest common factor of 12 and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -527*c = 3*p - 533*c - 27, 3*c + 12 = p - 0*c for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33584 is divided by 36?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10466 - 10461. Calculate the remainder when 2 + 207 + -2 + 0 is divided by m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -494 + 1010. Suppose -6*f - x + 2682 = 0. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -14936 or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -f - 10, 0 = 2*p - 7 + 1. Let t = f - 3. Let s(v) = -v**2 - 17*v + 12. What is the tens digit of s(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106760049447 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 15371, 5.\nAnswer: -2\/5, 5, 15371","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 690563 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 3*n = -29, 4*h - 2 - 2 = 4*n. Suppose -3*x - 5*w + 1 = -1, 28 = 5*x - h*w. Solve -f = x - 1 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2\/6 - (-5)\/15*42536?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -3*n**2 - 68*n - 665. Determine u(-13).\nAnswer: -288","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 80 = v, -1045*f = -1045*f + 4*v + 6 + 14 for f.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (-11 - -1 - -6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.4, -181, -191?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - -2461600?\nAnswer: 2461602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 227380 is divided by 563?\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-41)\/(-8) + -1 - (-262)\/(-2096). Solve -g + 6 = -2*w, 2*w + 3*w + 18 = q*g for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q + 6*q + 6*q)*(-q + 3 - 3)*(-3 - 2 + 4)*(-1 + 0 + 0)*(-12*q - 31 + 31 + (0*q - 2*q + 0*q)*(4 - 2 + 0)) + 0*q**3 - q**3 - 9*q**3.\nAnswer: 214*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkkkkkklkkkkkk. What is prob of picking 3 k?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the third derivative of 3*f**5\/5 - 11*f**3\/6 - 21*f**2. Differentiate n(r) with respect to r.\nAnswer: 72*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(1216) + 1)*3 + (sqrt(114)\/sqrt(6)*6 - (0 + 1*sqrt(19)))**2.\nAnswer: 96*sqrt(19) + 487","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92238.\nAnswer: 2, 3, 15373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 131*m = -126*m - 16, 4*m + 44 = 15*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*m - 11877 = 11652. What are the prime factors of m?\nAnswer: 3, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -2160*w - 58320. Let b be f(-27). Determine l so that 0 - l**2 + b*l + 3\/2*l**3 = 0.\nAnswer: 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 316 by -79.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -4ea43e (base 15) to base 5\nAnswer: -1431442314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a millennium in centuries?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 125\/43134542 and 35\/314534.\nAnswer: 1250901718","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.329 + -0.3289857. What is v rounded to 6 dps?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -618 and -0.6.\nAnswer: 370.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 210769108.\nAnswer: 2, 11, 281, 17047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2. Let j(r) = -r**2. Let b(w) = -w**2. Let l(q) = 7*b(q) - 6*j(q). Calculate k(l(u)).\nAnswer: -u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 58427053 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 54\/175 and -93\/2300.\nAnswer: 16100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kwkr when four letters picked without replacement from {k: 2, y: 2, w: 8, r: 2}.\nAnswer: 4\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1344)*-4 + sqrt(126)\/(sqrt(48)\/sqrt(8)))\/((-6*1*sqrt(70) - sqrt(70))\/(sqrt(70)\/(sqrt(21)\/sqrt(3) + sqrt(7)) + sqrt(10))).\nAnswer: 93*sqrt(3)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fuaunn. Give prob of sequence uu.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (752\/235)\/((-26016246)\/5203250 - -5). Round b to the nearest 10000.\nAnswer: 4160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.24 * 7.1.\nAnswer: -1.704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -284800 minus 1.67829698?\nAnswer: -284801.67829698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 12 = -5*u - 4, 2*u + 2*t + 5 = -0*t + 1 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + ((5 + 0 + sqrt(605) - -2*(sqrt(605) - (sqrt(605) + -1)) - (3 + -6*(sqrt(605) + 1))) + -2)*2)**2.\nAnswer: 6468*sqrt(5) + 119021","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1442318 and 139?\nAnswer: -200482202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-6\/11)*q*q**(-6)*(q\/((q\/(q**11\/q))\/q))\/(q**10\/q) assuming q is positive.\nAnswer: q**(-39\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 66, 294, 680, 1224, 1926, 2786?\n\"Answer: 79*x**2 - 9*x - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the second derivative of s**3 + 12*s. Let b(q) = -2*q**2. What is b(p(y))?\nAnswer: -72*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*i - 3*i = 13*t + 35, 11*t - 9*t = -3*i - i - 10 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 62, 189, 394, 707, 1158, 1777, 2594?\nAnswer: 3639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2728 + -2704. Suppose 0 = 2*j - 3*m - 38 - 158, 0 = 5*j - 4*m - 483. What is the remainder when j is divided by x?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*t - 41 - 13 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 10 + (1 + 3 - 6)*(0 + 2 + 0))*(3*r - 7*r - 2*r).\nAnswer: 78*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1.4 (b) -49 (c) 1\/9 (d) 4 (e) 0.485 (f) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 332121 bigger than 332118?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 k when two letters picked without replacement from {k: 2, q: 1, c: 1, p: 1, f: 1, g: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1129566 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 148 = -4*m + 3*x, -4*m = 3*x - 180. Suppose 4*c - 4*o = 216, -c + 16 = -2*o - m. List the prime factors of c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 4*u - 17. Let q be g(6). Calculate the greatest common divisor of q and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*h**2 + h + 5*h**3 - 5*h - h**3 + 8 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 4, -3116, 3, -19, -1, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.27024 to two decimal places.\nAnswer: 1.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 199341 a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/9 or 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*k - 268 + 30 = 5*k for k.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-54)\/(-165))\/(72\/80)?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 3*s = 3*a - 9, -2*a = 3*s. Calculate the least common multiple of 2 and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-24)\/(-18)*(-2)\/4. Suppose -13 = -3*m - 4*i - 5, m = 5*i - 29. What is the fourth smallest value in -1\/3, 1.8, x, m?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 a factor of 285561?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57143 is divided by 19040.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (2 - (10 + -1 + -6))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2036*w - 20047 = 457*w + 8375 for w.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -4 - -6 - 3 - (-24 + 28)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in eleven eighths of a gram?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 0) + -15 - (12 + -35 + 13)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uultuuxulullull. Give prob of picking 2 l and 1 u.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (7 + 1 + -5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 + 6*y**2 + 6*y + 1. Let r(d) = d**3 + 8*d**2 + 5*d - 7. Let i be r(-7). Let p = -4 + i. Let g be p + -1*(-3 + 11). Give m(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.03 (b) -0.4 (c) 30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (25 - 21)\/(2 + -2 - -2). Solve 2*d = -2*d, -2*d - 4 = i*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -883335 or -883336?\nAnswer: -883336","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*t + 10. Put t, -1, 3 in increasing order.\nAnswer: -1, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (2*(-2 + sqrt(68)))**2 + -3*(sqrt(136)\/sqrt(8))**2 + -2.\nAnswer: -32*sqrt(17) + 240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 87*(4 - (2 - -1)). Let n = f + -145. Let g = n - -118. Is 14 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 minus 41635646?\nAnswer: -41635646.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 168 and 84.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/96*4)\/((-2775)\/11840).\nAnswer: 32\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64 (base 13) to base 3.\nAnswer: 10001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes after 11:56 PM?\nAnswer: 12:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 9650341 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 6, k: 1, q: 3, j: 3, z: 3, t: 1}. Give prob of sequence zo.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 + 9*s**2 + 6*s - 5. Calculate p(-9).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*o**2 + 0*o**2 + 15463*o - 15457*o - 11*o**3 to the form v*o**2 + t*o**3 + f + n*o and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -28 - -32. Suppose v*f + j = -14, 0 = 5*f - f - 4*j + 4. Let k be f\/((-4)\/((-16)\/(-3))). Solve -8 = -k*m + 8 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -210799 by 11.\nAnswer: -210799\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -407, -2321, -4235, -6149, -8063?\n\"Answer: -1914*f + 1507","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 177 - 120. Suppose -4*x - 5*s - 28 = 0, s + 8 = -x - x. What is the remainder when u is divided by 17 + (-4 - -1) + x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z + 71. Suppose -3*c - 3*g + 2*g = -87, 3*g + 58 = 2*c. Calculate the remainder when b(21) is divided by c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -118, -124, -134, -148, -166?\nAnswer: -188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 152773255 a multiple of 1231?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 49 (c) -0.7 (d) 10 (e) -10 (f) -111\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (-3 + (3 + sqrt(1300) + sqrt(1300))*3 - (5*(sqrt(1300) + sqrt(1300) + sqrt(1300) + -2 + sqrt(1300)) + -5))*2)**2.\nAnswer: -24080*sqrt(13) + 1021049","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l**(-5\/2)))\/l**5*l**(-1\/14)\/(l\/(l\/l**3)) assuming l is positive.\nAnswer: l**(-39\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7276, -7124, -6872, -6520, -6068, -5516?\nAnswer: -4864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5981 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 433723180.\nAnswer: 2, 5, 11, 1971469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -159 + 158. Sort -7, 5, 1, z in descending order.\nAnswer: 5, 1, z, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -2*n**5\/3 + 10*n**4 + 4*n**3 - 1352*n**2\/3 + 1488*n - 1344 = 0.\nAnswer: -7, 2, 6, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3133122021 (base 4) to base 8\nAnswer: 3373211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29 - 16*i - 29)*(-i**2 + 2*i - 2*i).\nAnswer: 16*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2.4, 4, -2989\/638?\nAnswer: -2989\/638","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -40*x - 4*x - 26*x - 350. Put 5, 2, 0, 1, x in decreasing order.\nAnswer: 5, 2, 1, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 473832 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (-9)\/((-72)\/56).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b**2\/21 - 316*b\/21 - 12464\/21 = 0. What is b?\nAnswer: -82, -76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -452202 - -603?\nAnswer: -451377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 22 - 328. What is the tens digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 9058434 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15 or 2479802?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 394019.\nAnswer: 394019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 - ((-2991950)\/244 - 2). Let g = -12264 + m. Find the common denominator of g and (-147)\/(-10) - (5 - -2).\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2892839 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 369 is divided by 101.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 36. Let m(t) = -43. Let l(k) = -6*h(k) - 5*m(k). Let o(n) = 2*n + 5. Determine -3*l(q) - o(q).\nAnswer: -2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 15 = 4*u, -2*y + 15 = 3*y. Suppose f + 11 = -4*j, 4*j - 5*f + 17 = -u*j. List the prime factors of (-228)\/(-4)*(-1)\/j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119*g - 3367 = -8246 for g.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1245*t + 1244*t - 3729*t + 1242*t.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1331\/8 + -166. What is the fourth biggest value in -6\/5, i, -4, -0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.157 - -0.257. What is the biggest value in -2, 0, 5, z?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -51\/143 (b) -2\/5 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 647000 is divided by 646349?\nAnswer: 651","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/15 (b) -1\/7 (c) -2\/11 (d) -1 (e) 4821\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*z = z - 27. Solve 3*l - l = 6, 4*f + z = 3*l for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1679 is divided by 48.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1332)\/2 + (42\/7)\/6. Is -16 - u - 4*-1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = y - 181 + 173, 0 = -7*r + 35 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yn when two letters picked without replacement from qqyyqoynyzqy?\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 - (0 + 11 - 20) - (-1 - 7).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1800 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 PM and 8:46 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -53143*s**4 + 74589*s**4 - 62182*s**4 + (s**2 - 1 + 1)*(-5*s**2 + 0*s**2 + 3*s**2).\nAnswer: -40738*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = -5*x - 38, 4*r - 14*x = -13*x - 2 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 PM and 6:12 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -160 + 181. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/4 - 0)*2. What are the prime factors of 2 + 11 + -1 + s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**2 - 7*a - 5. Let n = 9 + -16. Let z be d(n). Let s(h) be the first derivative of h**3\/3 + 3*h**2\/2 - 6*h + 1. Determine s(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 17 and (2 - 266\/140) + 739\/10?\nAnswer: 1258","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1008548.6224 to the nearest 10000.\nAnswer: 1010000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -169 times 2?\nAnswer: -338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, l: 1, m: 3, o: 1, x: 2, u: 1}. What is prob of sequence ul?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 125 - 33\/(5544\/17682)\nAnswer: 79\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -344*k + 48. Let w be q(-23). Suppose 10*g + 3110 = w. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -3*u**3 + 2*u**2 + 3*u - 26. Let l be c(-4). Suppose -4*f + 166 - l = 0. Suppose -2*n - 3*n = 0. Sort f, -4, 2, n in decreasing order.\nAnswer: 2, n, -4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2815, -5633, -8451?\nAnswer: -11269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1576 and 1779698?\nAnswer: 7118792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 12 + 3\/6*-4. Let h be (12\/(-10))\/((-3)\/u). Let m = 1\/155 - 623\/465. Which is the biggest value? (a) -5 (b) h (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8.7 + -50.3. Let d = -63 - j. Let r = 0.2 + -0.2. Which is the nearest to r? (a) -0.2 (b) d (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 38*d + 3295. Let s be 42\/(-28) + (d\/(-12) - 2). Put -0.5, s, -4\/11 in descending order.\nAnswer: s, -4\/11, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 929465 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3272 (base 13) to base 12.\nAnswer: -4092","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 147\/(-245)*(-1)\/3\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of 3*q - 22*q**2 + 202\/5*q**5 + 0*q**3 - 50 + 0*q**4. What is the second derivative of d(a) wrt a?\nAnswer: 2424*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 274764 + 80192 = 4*f - 2*g, -4 = 2*g. What is the ten thousands digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 195, 338, 471, 588, 683, 750?\nAnswer: 783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1512382, 1512570, 1512884, 1513324, 1513890, 1514582, 1515400?\nAnswer: 1516344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a76 (base 11) to base 10.\nAnswer: 2624","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 467 a factor of 70847808?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(1300) - 1*sqrt(1300)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 3*p = -30, -3*d + 5*p = -0*d + 10. Solve v + d + 6 = 5*b, 5*b = 2*v + 7 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/(-864)*9*-1.\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 45664*n - 56267. Let m(p) = 9133*p - 11215. Let o(a) = -2*i(a) + 11*m(a). What is the first derivative of o(u) wrt u?\nAnswer: 9135","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -575531686.57549966 - -579334913.1535. Let l = w - 3803195.578. Let o = l + -31. Round o to 7 dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3153357675?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11764.0000397 - 11764. Round o to five dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 287*m**2 - 225*m - 1730. What are the prime factors of t(-8)?\nAnswer: 2, 3, 7, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -138 - 152 - r**2 + 11*r**3 + 285 - 19*r in the form z*r**2 + g*r + o*r**3 + h and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0006862248 rounded to 5 dps?\nAnswer: 0.00069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 45 = -3*z. Let t = z - 13. What is the remainder when (254 - 0)\/(-2)*-1 is divided by t?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -22*i**2 + 284*i - 243. Let j be n(12). Let v(t) = 26*t + 67. Calculate v(j).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 + 7*m**2 - 6*m - 6. Let q be y(-7). Let z = -15 + q. Calculate the highest common factor of z and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 7825571 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.5 - -1.5. Let h = -2 + z. Let b = h - -0.0001. What is b rounded to five dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j. Let s be k(-1). Suppose -s = -v + 2. Suppose -4*l + 3 = 5*i, -v*l + 0*i - i = -5. Solve l*d + 1 - 9 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 16*d**2. Let s(r) = 5*r - 42. Let q be s(9). Let b(o) = 0*o**2 + 7*o**2 - 7*o**2 - q*o**2. What is b(u(t))?\nAnswer: -768*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.13 (b) -2 (c) 0.4 (d) 272\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11270 by -322.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 11) to base 8.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 17300 and 210?\nAnswer: 363300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 17 or 2155\/131?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 2.9 (b) -1342 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 3*b - 72, -4*b + 6*b = -5*h + 412. Calculate the highest common divisor of 1428 and h.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 16 - 39*j + 23*j + 18*j. Let i be p(-7). Suppose i*o = -2*y + 4, -2*o + 2*y = -o - 2. Solve l = -l - o*b, -4*l = -4*b for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 77329*k**2 + 19*k + 536.\nAnswer: 154658","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*h - 11039 = 8617. What is the lowest common multiple of 806 and h?\nAnswer: 9672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*r + 15 = -68*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2113?\nAnswer: 2113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -160740 + -3?\nAnswer: -160743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 61, 401, 961, 1687, 2525, 3421, 4321?\n\"Answer: -9*p**3 + 164*p**2 - 89*p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5\/2 (b) 0.4 (c) -1\/8 (d) 15468 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 10.448193 hours?\nAnswer: 0.435341375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.45 - -0.95. Let q be 1484\/(-36) + 3*(-6)\/(-81). Let s = q + 43. Which is the second smallest value? (a) s (b) -2 (c) -2\/9 (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37290 is divided by 518.\nAnswer: 512","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -526 + 6331\/12. Find the common denominator of i and -25\/648.\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 6*n**5\/11 + 208*n**4\/11 - 166*n**3\/11 - 9880*n**2\/11 + 13096*n\/11 - 3264\/11 = 0?\nAnswer: -34, -8, 1\/3, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 63*q**5 + 63*q**5 - 35*q**2 - 121*q**5 wrt q.\nAnswer: 300*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(26)\/((sqrt(66)\/sqrt(3))\/sqrt(11)) - (-3 + -1*sqrt(13)*1))**2.\nAnswer: 12*sqrt(13) + 61","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - -4. Let t = h + -1. Let b(o) = -o + 7. Let a be b(5). What is the third smallest value in a, -0.5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -478519 - -473154.748. Let f = u - -5374. Let t = -0.152 - f. Round t to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/22 and -79\/8436.\nAnswer: 92796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -708037 and -59?\nAnswer: 41774183","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.2, 2\/3, -2\/109, 0.553, -1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 33 - 23. Let b(k) = k**3 - 13*k**2 - 13*k - 14. Let j be b(l). What are the prime factors of 10\/(-4)*j\/15?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -1 + 2 + -3\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -483*o - 2130. What is the tens digit of g(-59)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4566 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 193 and 18?\nAnswer: 3474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73 = -5*l + q, -l + 3*q - 51 = 2*l. Let m be 88\/14 - l\/(-49). Let s(n) = n**3 + 13*n**2 - 2*n - 26. Let v be s(-13). Solve v = -b - b - m for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + -2. Let o be (-21)\/6*2\/(-7). Suppose -h - o = -y. Solve y*d + d = -20 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**3\/7 + 40*f**2\/7 + 96*f\/7.\nAnswer: 4*f*(f + 4)*(f + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21, 220, 625, 1194?\nAnswer: 1927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(72) + sqrt(72)*-1)\/(3*sqrt(600) - sqrt(6)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -37*f + 263. Let c be q(7). Let o(t) = -7 + 2*t**3 + 17185*t - 3*t**3 - 17179*t + c*t**2. Let m be -6*(-1 - 0) - 1. Determine o(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of 19\/100*m**5 + 8\/15*m**3 - 27 + 7\/150*m**6 + 1\/210*m**7 + 5\/12*m**4 + 2\/5*m**2 - 4*m. Factor f(v).\nAnswer: (v + 1)**3*(v + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10272 and 4800.\nAnswer: 513600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from {m: 3, z: 1, f: 7, s: 2, o: 1}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1215, 1241, 1281, 1341, 1427, 1545?\n\"Answer: k**3 + k**2 + 16*k + 1197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 270 + -149. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x and 1 h when four letters picked without replacement from {x: 4, z: 7, u: 3, h: 1, i: 1}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 201678.\nAnswer: 2, 3, 33613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*a - 3*u - 15 - 0, -a + 5*u = 17 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 175356?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + -2. Calculate the remainder when 68 is divided by (-753)\/(-33) - l\/(-22).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.058 (b) -2 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -314 = -17*g + 366. Calculate the remainder when 189 is divided by g.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (4*(sqrt(320) + 5)*-2*-2)**2)*-6.\nAnswer: -529920 - 122880*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7460 and 486875035.\nAnswer: 1865","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -408*p - 7*p**3 - 52*p**4 + 9*p**4 + 550*p - 167*p**4 - 324*p wrt p?\nAnswer: -2520*p**2 - 42*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 - 7*z - 34. Is 3 a factor of p(12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 894 - 324. What is the remainder when r is divided by 44?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 9*r - 177. Give i(18).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 - 5*b + 1. Let v(j) = j**3 + 7*j**2 + 5*j. What is the smallest common multiple of l(6) and v(-6)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*i**3\/4 - 2901*i**2\/4 - 12099*i + 12825 = 0. Calculate i.\nAnswer: -950, -18, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**2 + 3*g + 7. Let t be z(5). Let j(s) = -2*s - 5 - 2 + 2 + 2. Give j(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9164*f + 2538 - 2538 - 1567*f)*(-2*f**4 + 2*f**3 - 2*f**3).\nAnswer: 21462*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a tonne in kilograms?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(833) + -1 + 0 + (sqrt(833) + sqrt(833) + 0)*-4)**2 + -3 - (sqrt(1088)*2*5 + 1)*3.\nAnswer: -142*sqrt(17) + 40812","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/2 less than or equal to -294?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of -i**6\/120 + i**4\/24 - 3*i**2\/2 + 2*i. Let v(f) be the first derivative of o(f). Suppose v(m) = 0. What is m?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 2 - 2 = -3*v, w = -11*w + 8*w + 2*v - 12 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7986.681 litres?\nAnswer: 7986681","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-2)\/(f\/f**(-36\/5))*(f\/(f*f*f**13*f)*f)**(-12\/7) assuming f is positive.\nAnswer: f**(69\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 - v**2 - 2*v + 2. Let b be j(0). Let r(k) = -k**2 - 16*k - 11. Let x(g) = 3*g + 2. Give b*r(d) + 11*x(d).\nAnswer: -2*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 + -3. Let s(n) = n**2 - 27*n - 125. Let l be s(31). What are the prime factors of b*43 + -5 + l + 5?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24716*s = 24713*s + 5*m - 21, 2*s + 16 = 4*m for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -122612 divided by 30653\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-13 - -17) - 11?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 - 3 = -3*l. Suppose -4*b = 3*i - l, 2*i - i - 8 = 5*b. Suppose -i*y - 45 = -4*y. Does 8 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -19? (a) 4 (b) 2\/7 (c) -4 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2 - 13*w + 12. Suppose 4*k - 3*t + 37 = 0, -4*k - 76*t - 57 = -75*t. What is j(k)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000 (base 3) to base 5.\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(1\/3)*x)\/(x\/(x\/(x\/(x*x\/(x*x**(-4\/5))*x*x)))*x))**(-1\/11) assuming x is positive.\nAnswer: x**(-47\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 32*f**2 - 321*f - 5. Is m(72) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3 + 2)\/((-42)\/4 + 11). Sort 5, 63, -4, k in descending order.\nAnswer: 63, 5, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3521303 divided by 1\nAnswer: -3521303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1363\/13 + -105. Sort 15, k, 0.3, -2 in ascending order.\nAnswer: -2, k, 0.3, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11352, -14488, -17624, -20760, -23896?\nAnswer: -27032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17289 and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from fpfffpffpfffpfppffsp.\nAnswer: 33\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -23*b**4 - 3*b**3*p - 166*b**2*p wrt b.\nAnswer: -552*b - 18*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -49dc6 - -4?\nAnswer: -49dc2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 398684653?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -10*w + 28. Let p(t) = -7*t + 19. Suppose 0*l + 15 = -3*l. Let m(i) = l*v(i) + 7*p(i). Is 2 a factor of m(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 11:27 AM?\nAnswer: 5:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 270869 or 270881?\nAnswer: 270869","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 + 8*s**2 - 8*s + 7. Suppose n - 13 = -9. Suppose 4*b + 5*y - 7 = 48, b - 11 = -n*y. What is the remainder when u(5) is divided by b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2*p + 33. Let x be d(-14). Suppose -5*i = -4*q + 27, x*q + i - 44 = -3*i. Let v = 39 - q. List the prime factors of v.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23 + 21 + 0 + 0\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 247 is divided by 89?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -22200201122 (base 3) to base 13\nAnswer: -5cb6a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 69*u + u + 1359 + 251 for u.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 12, -2*j + 105*v + 18 = 106*v. Solve 4*p - 2*m = -16, -4*m + j = -5*p - 6 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23\/81 + -2009\/324. What is the common denominator of h and 43\/30?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3c (base 15) to base 10\nAnswer: -57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4490\/67 or 67?\nAnswer: 4490\/67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and -16239?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6.8 in -5, 0.3, 17\/7, -1, 1\/7?\nAnswer: 17\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/29)\/((b*b*b**2*b)\/b*b))**(1\/20) assuming b is positive.\nAnswer: b**(-143\/580)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/142987 or -1?\nAnswer: 1\/142987","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 2\/9 (b) -177 (c) 4 (d) -18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the third derivative of -t**6\/120 - t**5\/12 + 5*t**4\/8 - 7*t**3\/6 + 171*t**2 - 7*t + 2. What is h(-7)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45261\/(-34668) - (-3)\/6*(-6)\/(-4).\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 11, 37.3745 in ascending order.\nAnswer: 3, 11, 37.3745","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -103.53 - -103.3. Which is the smallest value? (a) -2 (b) 0.4 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -9*h + 6. Which is smaller: h or -10\/23?\nAnswer: -10\/23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, e: 1, l: 1, p: 1, m: 1, z: 1}. Give prob of picking 1 l, 1 m, and 1 p.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 2*s + 5. Let g(r) = 2*r**3 - 51*r**2 - 26*r + 7. Let i be g(26). What is c(i)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6620 - 9*n**2 - 6623 + 12*n + 13241)*(0 + 4 - 5 + 8*n) to u*n**3 + x + d*n + s*n**2 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 + 13. Let z(n) = n**2 + 5*n - 4. Let o be z(-6). Let s be o\/(-4) - 13\/(-18). Which is smaller: s or f?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w**3 + 2*w**3 - 3*w**3 + (w**3 - 2*w**3 + 0*w**3)*(0 + 1 + 1) - 4*w + w - 4*w**3 + 3*w**3 - 3*w - 2*w**3 + 3*w.\nAnswer: -4*w**3 - 3*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 408203613?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10903 + -10902.87674. What is g rounded to two dps?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(13) + 3 - ((sqrt(13) + 1)**2 + 4).\nAnswer: -17 - sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 3.31?\nAnswer: -0.331","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 82255 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -115 divided by -4?\nAnswer: 115\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, -2 in descending order.\nAnswer: 3, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 - 67*h + 23*h + 23*h + 2 + 19*h. Let n(w) = w - 2 + 1 - 2*w + 2. Determine 6*n(s) - 3*p(s).\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 + 35*s**2 + 6*s + 34. Is 14 a factor of c(-30)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1651616258 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 201063\/8 or 25134?\nAnswer: 25134","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7419 + 7432. Calculate the least common multiple of o and 32.\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(200) + -1 - sqrt(200))*-4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 352 divided by 444183\nAnswer: 352\/444183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -11 not equal to -15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*n - 2*n - 2424 = 0. Let t = n + -143. Is 16 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 2*h + 48. Suppose -h*n + 11*n = -457. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/19626112 and -27\/122032.\nAnswer: 569157248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 + -10. Let a(b) = -b - 10. Let r be a(-8). Let t be (1 + o + -7)\/r. Solve 2*k = -t*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 275947 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 83 - 81. Is 62 a factor of (k*41\/(-8))\/(6\/(-72))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 + -11. What is the second biggest value in t, 5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -220 - -210.9. Let o = s + 9. Which is greater: -1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of a**4\/12 - a**3\/3 - 19*a**2\/2 + 7*a + 6. What is f(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 12:59 AM?\nAnswer: 11:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 198309609 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 21 = 3*x. Let m(i) = 8*i**2 - 3*i + 8. Is m(x) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 - 2\/5*x**2 - 12\/5*x = 0.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2*b**3 - 63*b**2 - 230*b - 214. Determine p(35).\nAnswer: 311","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/10117 or -1\/2?\nAnswer: 2\/10117","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -410 at most -418?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 10*i**2 - 10*i - 10. Suppose 75 = -0*z - 5*z. Let x = -9 - z. Let v be (-7)\/(-2) - (-3)\/x. Let k(p) = -3*p**2 + 3*p + 3. Give v*j(a) + 14*k(a).\nAnswer: -2*a**2 + 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 306263 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 5\/12 (b) -326 (c) 12 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 3*i + 18*i**2 - 4*i + 5*i + 2*i**3 - 7*i**2 to the form g + f*i**2 + z*i**3 + r*i and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-five quarters of a litre?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89*x + 14*x + x**3 + 70*x + 5*x + 4*x**3.\nAnswer: 5*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -34785164021018 - -4?\nAnswer: -34785164021014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/(-12))\/((-6)\/4). Suppose 3*y + 3*s = 0, -s = 5*y + 2*s. Suppose r = -y*r. Which is greater: z or r?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 16283 = 4*l + 16619, -4*z + 336 = l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*z**2 - 16 + 5*z**2 - 38*z - 4*z**2 + 34*z + z**2.\nAnswer: 2*(z - 4)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 PM and 10:34 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 5*t - 100, 7*z = 8*z - 3*t + 48. Let m be z*(593\/(-3) + -5). What is m rounded to the nearest one thousand?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/10 - ((-141)\/(-15) + -6). Let c be (2\/y + -3)*(-18)\/63. Which is smaller: c or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/5, -0.3347, -1\/6, 2, -70, -3, -1\/2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.6 times 56299.08?\nAnswer: -146377.608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -h + 6*l - 11, 5*h - 4*l = 0. Suppose h*o - 2*w - 3*w + 4 = 0, -o + 20 = 4*w. Solve 0 = o*t + u - 3*u, 2*u = -t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -55 bigger than -21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121*f**5\/6 + 1958*f**4\/3 - 19340*f**3\/3 + 54272*f**2\/3 - 17864*f\/3 + 1568\/3 = 0.\nAnswer: 2\/11, 4, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + 4*b - 2*b)*(-4 + 4 + 2*b**2) + 4*b**3 - 5*b**3 - 3*b**3.\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2.56? (a) 0.3 (b) -4\/3 (c) -3 (d) 0.08 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-10)\/(-55))\/(2\/22). What is the units digit of x + (-3 - -6) + (-987)\/(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/((-333)\/1539 - (-6)\/57). Suppose -7*z + 2*m + 6 = -4*z, 0 = z + 3*m + h. Solve z = -5*x + 12 + 8 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1966 by 7721.\nAnswer: -1966\/7721","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 122832*z**2 + 614175*z + 81. Give f(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -12*n**2 + 531*n - 2670. What is l(5)?\nAnswer: -315","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -749 by 107.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1100001 (base 2) to base 15\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 28684675213 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -176843, 5, 30 in ascending order.\nAnswer: -176843, 5, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(-2) - (-16225)\/(-10). Let l be -2 - -2 - (-2)\/c. Let r = 102131\/6484 + l. Find the common denominator of 65\/8 and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -2. Let z(r) = -r + 2. Give -2*k(s) - 2*z(s).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -198941\/145 + 1372. Let n = -83\/3625 - w. Let z = n - -383\/500. Is 0 bigger than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 PM and 10:55 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -15*w**3 - 184*w. Let o(p) = -11*p**3 - 184*p. Give -4*o(y) + 3*r(y).\nAnswer: -y**3 + 184*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3 + -17)*1\/(-2). Suppose -30 = -q*t + 4*t. What is the third derivative of -12*p**2 + 24*p**6 + 15*p**6 - t*p**6 wrt p?\nAnswer: 3480*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 273036?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 100*b + 180*b + 113 = 109*b, 3*f - 5*b = -11 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1973 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/50)\/((12\/25)\/2)\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1868, 40, 0.4, -1\/3, -2.8 in descending order.\nAnswer: 1868, 40, 0.4, -1\/3, -2.8, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 236 is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/14, -5\/2, -3, -0.3 in descending order.\nAnswer: -1\/14, -0.3, -5\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -271 - -271.0419. Round o to two dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4935 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 4*j**2 - 7*j + 2. Let q(v) = -12*v**2 + 20*v - 6. Let c(b) = 4*q(b) + 11*z(b). Suppose 3*s + 4*p + 3 = 13, 5*s = p + 9. Calculate c(s).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 1 + 5)*(-v + 6*v - 3*v) + (0*v + 7*v - 11*v)*(-1 + 2 - 3) to the form r + i*v and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 2*j - 3360, 8*a + 2*j - 6720 = 4*a. List the prime factors of a.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 418*z - 4 + 2 - 12*z + 94*z - 88*z to the form x*z + i and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) 3.3 (c) -3 (d) 11\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12\/5? (a) -1.6 (b) -191 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21718?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - 40?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l + 0*l + 2*l)*(5 + 0 + 1)*(0 - 1 - 1 + 3 + 0 + 2 + (-3 + 2 + 0)*(1 - 2 - 1)).\nAnswer: 30*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -2*f**2 - 25*f. Let m(c) be the third derivative of -2*c + 7*c**2 + 0*c**3 + 0 - 1\/60*c**5 + 0*c**4. Calculate b(m(d)).\nAnswer: -2*d**4 + 25*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.81 - 0.41. Let r = 3 - u. Let v = 13.23 + -11.23. Put -1\/4, v, r in decreasing order.\nAnswer: v, -1\/4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, 11, 1, 0.5?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.48 times 0.16\nAnswer: 0.0768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 138085 to the nearest 10000.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 42491080 to the power of 1\/2, to the nearest integer?\nAnswer: 6519","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -3*v + 14427, -32 + 26 = -3*p. What is the tens digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 7:12 AM?\nAnswer: 4:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 638719555 to the nearest integer?\nAnswer: 861","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/3)\/((-1)\/2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from xahaaxa.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 49\/5 of a micrometer?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(0 - 2\/6). Let f = -30 - -29.03. Let n = -4.97 - f. Which is the third biggest value? (a) n (b) z (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 344088 and 2301?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.02705 or 0?\nAnswer: -0.02705","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-33)\/(-9) + (-4)\/6. Let o be (1\/(-4)*0)\/(-2). Find the second derivative of -5*z**3 + 2*z**p + o*z + 2*z wrt z.\nAnswer: -18*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -2\/3, -0.2, -47, -0.5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -323041*v + 7*v**3 + 4*v**3 + 323141*v.\nAnswer: 11*v**3 + 100*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/5, -2\/9, -31?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 29 - 7*q + 15.\nAnswer: -7*q + 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -342, -688, -1034, -1380, -1726?\n\"Answer: -346*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 + 3*a**2 + 3. Suppose -4 = -l + 3. Let c = l - 10. Let n be i(c). Solve 5*z - 5 = -5*b, n*z + 3*b = 8*z - 29 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/5)\/((-188)\/(-235)). Put -0.4, 0.2, h in decreasing order.\nAnswer: 0.2, -0.4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2*x - 103. Let f(g) = g + 5. Determine 3*f(s) - l(s).\nAnswer: s + 118","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -9, -67, -211, -483, -925, -1579, -2487, -3691?\n\"Answer: -7*p**3 - p**2 - 6*p + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 75246 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 + 8*a**2 - 3. Let t be d(8). Let p be (-4)\/t*(-1 - -4). What is the nearest to -0.1 in -2, -0.4, p?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 2 - 5*h**2 + 7*h**2 + 5*h**2 - 3. Suppose 5*g + c = -9, -1 = 5*g - 4*c - 12. List the prime factors of q(g).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-60)\/(-25))\/(6\/(-40)). What is the units digit of ((-72)\/d)\/((-6)\/(-40))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 116 divided by 29\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 PM and 3:41 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (558\/114 - 5)\/(-3 - 9 - -10)?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 3*a + 281. Let k be v(33). Calculate the greatest common factor of 1444 and k.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 0*i**3 + 2*i**3 - 17*i + 35*i - 12*i**2 = 0. Calculate i.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (142 + 34 - 4 - 18)*(18*f - 18*f - 20*f) in the form o + a*f and give a.\nAnswer: -3080","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 10, e: 2}. Give prob of picking 1 e and 1 q.\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 857978304?\nAnswer: 2, 3, 17, 83, 3167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3222 divided by 11.\nAnswer: -3222\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8, 19, 30, 35, 28, 3, -46?\nAnswer: -125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 - 7*s. Let z be q(7). Let t = 185 + -189.22. Let d = -0.22 - t. Which is the closest to 1? (a) 2\/9 (b) d (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.03, 1, -13, -0.3.\nAnswer: -13, -0.3, 0.03, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 552 - 1?\nAnswer: 551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the third derivative of -b**5\/120 - b**3\/3 + 4*b**2. Let n(x) be the first derivative of k(x). Let h be (4 + -2 + 10)*(-9)\/(-12). Determine n(h).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the third derivative of b**5\/135 - b**4\/27 - 10*b**3\/9 - 1580*b**2. Find u, given that v(u) = 0.\nAnswer: -3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((6440\/(-2898))\/(25\/(-4)))\/((-4)\/(-10))?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 381, 766, 1263, 1926, 2809?\nAnswer: 3966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/((c*c\/c**(-12))\/c))\/c)**(-2\/25)\/((c*c**(-13)*c*c)\/(c**(2\/35)*c)))**24 assuming c is positive.\nAnswer: c**(50808\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0057079 to 5 decimal places.\nAnswer: 0.00571","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -2217*n. Let v(f) = -142*f. Determine h(v(l)).\nAnswer: 314814*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4 + (-376)\/(-11) + (-28)\/154. Solve -10*l = -4*l + o for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 364, 641, 918, 1195, 1472?\n\"Answer: 277*b + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 - 3 - 71)*(0*u + 3*u - u).\nAnswer: -122*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1711931?\nAnswer: 13, 131687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 49649 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from {a: 5, d: 1, w: 3}?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 4*j - 35. Determine y(11).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 109 divide 2725?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 4*f + 283. Determine s(-81).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 159070928?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 26895438*s**3 - 88401*s**2 - 5*s + 4?\nAnswer: 161372628","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 36*a - 1 + 42*a.\nAnswer: 6*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-3))\/4 - 25\/(-30)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, -6, -938, -9 in increasing order.\nAnswer: -938, -9, -6, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 = -2*f + 4*s, -4*f - 37 - 90 = 3*s. Let v(c) = -c**2 - 42*c - 61. What is the units digit of v(f)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 15) to base 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -800*w**2 + 6777*w - 6777*w. Let j(f) = -5*f**2. Determine l(j(d)).\nAnswer: -20000*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 42\/(-12)*4\/(-1). Let f(s) = -s**2 - 7. Let n be f(0). Let m = o + n. What are the prime factors of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16480 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -1782*w - 105130. Give s(-59).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2666*l**3 + l**2 + 18564*l**3 - l**2.\nAnswer: 21230*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 28*1*18\/(-12). Let k = -18 - x. Let d be -3 + 2\/(k\/44). Which is the biggest value? (a) d (b) -4 (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2 (b) -0.24 (c) -2\/27 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -23*b + 43. List the prime factors of n(-14).\nAnswer: 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14096 divided by -7048\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83343789.\nAnswer: 3, 23, 103, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 u, and 2 p when four letters picked without replacement from mupzz?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmmmsssmmsmmm. Give prob of sequence msmm.\nAnswer: 120\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2674741*s**2 - 5403465 wrt s?\nAnswer: 5349482*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - 3.04. Let k = 134 - 138.04. Let p = k - a. What is the third biggest value in -3, p, -0.4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(-6))\/((186\/(-279))\/(1\/9)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3294 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -11*m**2 + 1873*m - 2439. Determine a(169).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 2 = 2*g, 7 = 3*g - 2*j - 16 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 - 5*n**2 - 2*n - 119. Determine s(-7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2090145 a multiple of 168?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3311 + a?\nAnswer: 3320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(-20)*u)\/u)**(-32)*((u\/(u*u*u**(-25)))\/u*u)**(-2\/99))**0 assuming u is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 2*h + 8 - 8. Let n(z) be the third derivative of 17*z**6\/720 - z**4\/8 - z**3\/6 + 40*z**2. Let s(c) be the second derivative of n(c). What is s(d(x))?\nAnswer: 34*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-1\/4))\/(q\/(q\/q**(-3))*q))**(4\/17)\/(q**(1\/3)*q**(1\/3))**(19\/5) assuming q is positive.\nAnswer: q**(-481\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Solve -67*z + 84*z + 17 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d = -12*d + 4*o + 82, -4*d - 3*o + 47 = 0. Calculate the smallest common multiple of d and 35.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*y + 14*y + 29*y = 4*m + 113, -101 - 16 = y + 5*m for y.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*((-9)\/60 - (-406)\/(-1160)) + 72*1.\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 - 7. Let k = -3.9 - -3.8. Which is the nearest to k? (a) h (b) -2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.99 + -0.01. Let q = -1765\/6 + 878\/3. Which is the nearest to 1? (a) q (b) h (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2383 - 1401. What is the hundreds digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -57\/2 + 27. What is the second biggest value in -3, -4, g?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 15*(-40)\/(-30) - 8. What is the highest common factor of k and 108?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.07, 0.1, 876\/5?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -21*v - 12. Let s be u(-7). Calculate the highest common factor of s and 54.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3, 73, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.5, -296, -3, 0.2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -4*g - d, -2*g + 3*d + 27 = -4. Let t = 11 - g. Suppose -37 - t = -5*x. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -64231\/26 + 2472. What is the common denominator of q and 11\/2?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - o = -60. Let r be o + -6 - 2\/(-1). Calculate the highest common factor of r and 54.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 73*b + 1. Let m(l) = -148*l + 55. Let k(o) = m(o) + 2*n(o). Calculate k(15).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 607, 1364, 2803, 4924, 7727, 11212, 15379?\n\"Answer: 341*f**2 - 266*f + 532","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 0*f + 4 + f - 3. Let c be y(1). Suppose 4*g + 5 = -3, c*g + 9 = 5*l. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 3*f + 1, -2*v = -f + 6*f - 46. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4678811?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 - -54. Let x be (-400)\/(-6) + (4 - k\/15). Suppose -x - 36 = -6*z. What is z rounded to 0 decimal places?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 + 5*k**2 + 2*k - 27. Let a(l) = -40*l - 716. Let y be a(-18). Determine q(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 8:35 AM?\nAnswer: 10:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, k: 2, l: 2}. Give prob of picking 3 d and 1 l.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11*y**4 - 12141*y**3 - 3*y**2 - 70*y + 97 wrt y.\nAnswer: 264*y - 72846","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (-9 + 6)) + (0 - 5) + 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -468 + 472.51. Let f = -4.91 + n. What is the closest to -0.1 in f, 2, -1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 2\/508863?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*s = -13*s - 25 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-12))\/(3 + (-13)\/4).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 442 and 204?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/(588\/(-41)) - ((-737)\/77 - -9)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {t: 3, f: 4}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 AM and 9:05 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -117 and -221?\nAnswer: 25857","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*f**3 + 20*f**3 - 8*f**3.\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 3 s when four letters picked without replacement from {r: 1, s: 3, q: 3, u: 5, v: 1, n: 2}?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -7 + 10 + -2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/4*((-4)\/12)\/1.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 163595?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22.6 + -14.65. Let z = 7.9499677 - m. What is z rounded to five dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*g - 9*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**1)**(-3\/2)*y**(4\/7)*y*y*y**5*y)**(-18))**14 assuming y is positive.\nAnswer: y**(-1782)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 4*l - 13. Let s(b) = 3*b - 6. Let z(m) = -20*m + 39. Let a(k) = -39*s(k) - 6*z(k). Calculate h(a(q)).\nAnswer: 12*q - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*c + 9*c + 41*c = 13136076. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(260)\/(sqrt(40)\/sqrt(4)*-5))\/(sqrt(14)\/(-2*sqrt(700) - sqrt(7)))*6.\nAnswer: -756*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let d = -333 - -342. What is the remainder when 110 is divided by d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 71?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 926411894 divided by 2483678?\nAnswer: 373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110 = -29*r - 35 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 38\/12464*-41*152?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/4*(-8)\/4*1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78) + 5*sqrt(78)*-2 - sqrt(78)) + (sqrt(78)*-1 - sqrt(78) - sqrt(78))*3)\/(3*(sqrt(150) + (sqrt(150) - 1*sqrt(150) - sqrt(150)) + sqrt(150))*4).\nAnswer: -19*sqrt(13)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 45 + -54. Let n = -0.22 + -0.59. Let v = n - -1.31. What is the nearest to 1 in o, v, -3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 346\/(-6055)*84\/(-264).\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 3*a - k - 5, -2*k - 8 = -3*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14274 + (-143)\/22*(-20)\/65?\nAnswer: 2, 43, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.33 - -0.07. Let j = -0.1 - y. What is the second biggest value in -4, -1\/3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -2 + sqrt(1700))**2.\nAnswer: -40*sqrt(17) + 1704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -238*c - 14953. Calculate f(-63).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*g + 185 - 17 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 + -10. Let i(s) = 2*s**2 + s - 1. Let k(w) = -7*w**2 - 2*w + 12. Let q(t) = -3*i(t) - k(t). Let d be q(p). Solve m + d*m - 8 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2*q**2 + 58*q - 555. Give v(15).\nAnswer: 765","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**2\/8 - 39*l\/4 + 507\/8.\nAnswer: 3*(l - 13)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 210\/(-49) + (-2)\/(-7). Let g be ((-5)\/z)\/(1\/8). Suppose 0 = 2*l - 3*s + 4*s - 3, -3*l + 22 = -2*s. Solve 0*m + l*h - g = -2*m, -2*m + 10 = 5*h for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/(-84)*(-6)\/4.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -104*t - 105*t + 98*t + 105*t. Let z(k) = 2*k**2. Give z(j(p)).\nAnswer: 72*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*n**2*u**5 - 1273*n**2*u**2 - 2*n**2*u - 15*n - 139457*u**5 wrt u.\nAnswer: -360*n**2*u**2 - 8367420*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*i = -25*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 875 + 212 = -64*w - 257 for w.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and 227261?\nAnswer: 454522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7*(8 - (0 - -3)). Suppose 0*k + 4*k + q = -112, k = -2*q - o. Let y = k + 58. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -4*k - 3. Let v(j) = -6*j - 5. Let b(n) = -6*v(n) + 10*x(n). Let u(o) be the first derivative of o**2 - 1. Give b(u(p)).\nAnswer: -8*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 2 - 5)*((2*m - 2*m + 2*m)*(88 - 88 + 18*m) + (-11*m - 47 + 47)*(-2*m + 2 - 2)) to the form s*m + a + i*m**2 and give i.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-4) - (-915)\/20. Suppose w - 2 = -4*n - 5*v, 8 = -4*n + 4*v. Let t be n\/(-2) + 126\/(-28). Which is the biggest value? (a) t (b) -0.3 (c) -1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 + 7*j**2 + 8*j + 1. Let z be r(8). Let k(l) = -13*l - 11. Let p be k(-7). Let x = p + -80. Sort x, 2, z.\nAnswer: x, z, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -1570*w**4 - 5*w**3 - 685. Let r(g) = 2356*g**4 + 7*g**3 + 1027. Let s(f) = -7*a(f) - 5*r(f). What is the first derivative of s(m) wrt m?\nAnswer: -3160*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6\/(-4))\/(4\/(-8)). Solve 2*x = -t*d, -3*x = 4*d + 1 - 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7.1 - 7. What is the fourth biggest value in 5, c, 1, 2\/7?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 30160.126353 - 30160. Let v = k + -0.126. What is v rounded to 5 dps?\nAnswer: 0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 928877 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*u**3 + 30 + 4 + 100*u**2 - 100*u**2 - 10*u**3.\nAnswer: u**3 + 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**4*o*o**(-2\/7)*o*(o**(-3)\/o)\/((o\/(o*o**(-5)\/o)*o)\/o))**(-5\/4))**(-2\/11) assuming o is positive.\nAnswer: o**(-75\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (386*s**3 - 85352 + 85352)*(35 - 20 - 4*s + s) to a*s**2 + m*s + t*s**4 + k*s**3 + u and give t.\nAnswer: -1158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 24*a**3 + 6*a - 5*a**2 + 2*a**2 - 4*a**2 - 23*a**3.\nAnswer: a*(a - 6)*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, o: 4, c: 12}. What is prob of picking 1 c and 1 s?\nAnswer: 24\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = 6*s - 86. Calculate the remainder when 49 is divided by s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -185*m**3 + 13*m**3 - 87*m**3 + 50*m**3.\nAnswer: -209*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-44)\/12 - (-6 + 3)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (144\/(-156))\/((-72)\/936)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -553 - -898. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20101303 (base 4) in base 16?\nAnswer: 8473","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of 15*p + 1\/3*p**3 - 1 + 1\/2*p**2 + 1\/4*p**4. What is the remainder when 29 is divided by f(0)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 4224?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 2 - 7*l**2 + 4*l**3 + 5*l - l**2 + l**2. Let c = -785 + 777. Let z(o) = -8*o + o**3 + 11*o**2 - 1 - 7*o**3 - 2. Give c*j(i) - 5*z(i).\nAnswer: -2*i**3 + i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 bigger than 17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000303536 to seven decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*x = m - 2047, -m - 943 = -5*x - 581 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*n + 555 = 96*n - 141*n for n.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-36)\/(-2) + (7 - 6). Suppose 0 = 21*d - l*d - 268. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -5*w**5 - 58*w**4 - 36*w**3 + 424*w**2 - 160*w = 0.\nAnswer: -10, -4, 0, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 4*l + 4*r + 17 = 0, 3*r - 16 = -2*l. Suppose -l*t + 1592 = -3*t - 2*g, -g = 2. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yxhx. What is prob of sequence xx?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mc when two letters picked without replacement from {m: 5, c: 5, o: 3}?\nAnswer: 25\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 - 1768*x + 81405. Give w(45).\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n**3 + 1911*n**2 - 1911*n**2.\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -d. Suppose 16*l - 25 = 21*l. What is the smallest value in 0.1, l, d?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -50 + 22. Let r = b - -48. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.2, -2, 91?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 0 = 4. Suppose -d*k + 23 = -295. Suppose 3*y - k = -0*y. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m - 3. Let p be y(8). Suppose -9673*q - 195 = -9686*q. Suppose -2*i + 10 = -2*o + i, q = -3*o - p*i. Sort -3, 5, 2, o in decreasing order.\nAnswer: 5, 2, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**4 - t**4 + 3*t**4)*(222021*t - 222020*t - 4 + 20).\nAnswer: t**5 + 16*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4066 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(34) - (sqrt(544)*5 - sqrt(34))))\/((sqrt(20) + (sqrt(160) + -1*sqrt(160) + sqrt(160))\/sqrt(8))\/sqrt(10))*2.\nAnswer: 72*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*c - c - 6*c)*(147*c**2 - 154*c**2 - 2*c - 2*c).\nAnswer: 14*c**3 + 8*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 176.097 to the nearest integer.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (70\/1005)\/(-14)*3\/(-1)?\nAnswer: 1\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:16 PM and 3:23 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 161, -1, -11, 2, 87 in descending order.\nAnswer: 161, 87, 2, -1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 30905 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: Which is smaller: -191\/41 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -2\/11, -91, 5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5\/14 + 11\/70. Is 0 > t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a tonne in kilograms?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11 and 176?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 5*o**2 + 1. Let u(y) = y + 1. Let h be u(4). Let b = 0 + h. Suppose -2 = -v, 9 = 2*s - s + b*v. Calculate f(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/70*(-50)\/6*25\/(400\/(-48))?\nAnswer: -30\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-15)\/(-13) - (-6)\/(-39). Let o(k) = 0 + 6*k**2 + y + 5*k + 2*k - 8*k. Calculate o(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -43441\/2 - -22378. Let y = -657 + m. Solve -z**3 + 3\/2*z - z**2 - y + 3\/2*z**4 - 1\/2*z**5 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-27\/2))\/(b**(-31)\/b) assuming b is positive.\nAnswer: b**(93\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 545 and 10.\nAnswer: 1090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 0.4, 0.03, 0.5, -22969?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95652068?\nAnswer: 2, 53, 8513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22 + -14. What is the first derivative of -v**4 - m*v**4 - 15 - 7*v**4 wrt v?\nAnswer: -64*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**4)**(16\/7) assuming q is positive.\nAnswer: q**(64\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (5 + 9 + -8 + -7 + 0) - -19\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -1723.\nAnswer: 4\/1723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2881*n + 162640 = 5251*n for n.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes after 6:13 PM?\nAnswer: 6:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -2 - 2, -5*f + 22 = 4*v. Suppose -v*b = -4*c - 9, 6 = 5*b - 2*c - 9. Solve -b*o - 27 = -2*l + 6*l, 3*l = 5*o + 16 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5660 and 77542?\nAnswer: 775420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -101 + 0*w**3 + 119 - w**2 + 6*w**2 - w**3 + 20*w - 86. What is p(6)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, h: 3, f: 3, l: 6, d: 2, i: 2}. What is prob of sequence ddh?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 10417 (base 8) in base 10?\nAnswer: 4367","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -119 - -2115. What is the thousands digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 AM and 10:46 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -150525 - -2?\nAnswer: -150523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102)\/(sqrt(14)\/(sqrt(21)\/sqrt(3))))\/(sqrt(108)*-1*4).\nAnswer: -sqrt(17)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1693 - 1817 = -5*r. Suppose l - 5*l = 8, -r = -2*o - 3*l. Is 49 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -k - 5*l, k + 0 + 9 = 5*l. Sort k, 4, -1 in ascending order.\nAnswer: -1, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21.79925l?\nAnswer: 21799.25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 4*t + 3*y, y - 8 = 2*t + 2*y. Is (1 - t)\/((-24)\/(-4168)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 6*k**2 - 2*k + 72. Let f(l) = 12*l**2 - 5*l + 146. Let q(c) = -3*f(c) + 7*p(c). Find the first derivative of q(m) wrt m.\nAnswer: 12*m + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -0.1416?\nAnswer: -3.1416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/290 and 19\/7.\nAnswer: 2030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 c when three letters picked without replacement from {c: 1, p: 2, e: 6, w: 3}.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1147, -1154, -1163, -1174, -1187, -1202?\n\"Answer: -k**2 - 4*k - 1142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 2*k**2 + 2*k - 6. Let o(z) = -z + 28. Suppose 3*p = 2*v + 8, -5*p + v + 12 = -2*v. Calculate the remainder when m(5) is divided by o(p).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 399, -5, 32 in ascending order.\nAnswer: -5, 32, 399","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 - c**2 - 4*c - 18. Determine o(-4).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 21296 less than 20177964?\nAnswer: 20156668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 696 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2\/13 - 243252*r\/13 - 1459584\/13.\nAnswer: 2*(r - 121632)*(r + 6)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1688219?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 50267 to the power of 1\/2, to the nearest integer?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 2*n - 85. Let f = n - 53. Suppose m = 2*m + 3*l - 17, -12 = 4*m - 4*l. Sort m, -5, 3, f.\nAnswer: -5, f, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*u + 7*u + 3*k - 6, k + 6 = u. Let r be 48\/(-18)*u\/(-4). Suppose -3*a + 10 = 6*b - b, 2*a - 24 = b. Solve 3*t = f + a + 1, -t = -r*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-47)\/(-9) + 2\/(-9). Let c = -21 - -46. Solve -5*w + p - 17 = -0*p, -z*w + 5*p = c for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -2\/7, 0.35, 0.09?\nAnswer: 0.35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -63, -63, -61, -57, -51, -43?\n\"Answer: p**2 - 3*p - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-3) + (-10)\/(-21). Let f = -4.05 - -0.05. Let r = f - 1. Which is the third biggest value? (a) w (b) 0 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 34347 and 21186.\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37685.\nAnswer: 5, 7537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 321289 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -99*t - 50 - 643 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*j + 31 - 18 - 13.\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and 0.063?\nAnswer: 0.0315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together 244 and -19550934.\nAnswer: -19550690","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**5*(k**(-4)\/k*k)\/k)**(1\/14)\/(k**(-5)\/(k**2*k)*(k*k\/(((k\/(k**(1\/2)*k))\/k)\/k)*k)\/(k**(-1\/2)*k)) assuming k is positive.\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23, -27, -3, 61, 177, 357?\nAnswer: 613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1529*c**2*r**2 + c**2 + 2*c*r**5 + 381*c*r wrt r.\nAnswer: -3058*c**2 + 40*c*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 5*r + 10 = 0, -8245*m + 8243*m + 2 = -r for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20532 - 20719 + 15*q**2 + 41251 - 21*q**2.\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22 and 13101?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 104 and 31434?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:59 AM and 8:52 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 446847207?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2916 + 3709. Calculate the greatest common divisor of g and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 40379134\/7 at least as big as 5768448?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3927043?\nAnswer: 23, 170741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 0 + (-78 - -76) + -4.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24621 is divided by 12255.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 517*v**4 + 5*v**3 - 1040*v - 2?\nAnswer: 6204*v**2 + 30*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.743435 litres in millilitres?\nAnswer: 5743.435","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2 - 36336620*g - 36336618.\nAnswer: -2*(g + 1)*(g + 18168309)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 23 = 81. Let q = 12536 - 12520. Let k = v + q. List the prime factors of k.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 396*0.3\nAnswer: 118.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-4*(-1 + sqrt(130)\/(2*sqrt(10))).\nAnswer: -10*sqrt(13) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 380 and 230.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10546 in -1\/2, -3, 0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 165740225.29 and -0.32275?\nAnswer: 165740225.61275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 PM and 6:14 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 5*u - 21. Let t(n) = 4*n - 20. Let d(a) = -6*t(a) + 5*z(a). Let j be d(-18). Let k be (-3)\/j - 4\/((-8)\/6). Sort -1, -2, k.\nAnswer: -2, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a microgram in nanograms?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the second derivative of 0*g**2 + 16*g + 0*g**4 + 19\/3*g**3 - 7\/5*g**5 + 0. Find the second derivative of n(x) wrt x.\nAnswer: -168*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2299) + -2*sqrt(2299)*-1)*4.\nAnswer: 132*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -4*m + 59*m**3 - 60*m**3 + m**2 + 3 + 2*m. Determine v(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/((-3)\/(3\/(-2))). Suppose 3*u - 19 - c = 0. Solve 2*y = 2*v, u*y - 3*v - 2 = 3*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 + -8 - -9) + -11 - -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 255 and 171404880?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -9355.3 to the nearest one thousand.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 10*j**2 - 5*j - 21. Let w be (-1*3)\/(19 + -18). Is 7 a factor of n(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**4 + 4*p**4 - 3*p**4)*(1 - 2 + 21)*(0 + 3 - 2)*(1 + 1 - 1).\nAnswer: -20*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by -1010\nAnswer: 7\/1010","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 + o**2 + 12*o - 31. Give m(4).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -23 and 5.\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 3*k + 100 = -7*k, -2*k = -10. Find the common denominator of -51\/8 and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 1:27 PM?\nAnswer: 9:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 64551 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of u**3\/6 + u**2\/2 + 70*u. Let q(c) = c**2. Calculate g(q(n)).\nAnswer: n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4 + 0 + (-21)\/(-3). Put -1, -3, o, -2 in descending order.\nAnswer: o, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h**2 - 1119*h + 1119*h.\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 16) in base 3?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 83483 greater than -13\/89?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + dd?\nAnswer: db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 313344?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8*4*4\/32*-1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**2\/5 - 5382*m\/5 - 21576\/5.\nAnswer: 3*(m - 1798)*(m + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s. Let v(i) = 21*i**2 - 77*i. What is -154*c(y) + 2*v(y)?\nAnswer: 42*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -489, 0, -835 in increasing order.\nAnswer: -835, -489, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -v**4 - 2*v**2 + 2*v - 170009*v**3 + 3*v**2 + 170006*v**3 as d*v**2 + o*v**3 + r + y*v**4 + j*v and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1051986708*u**6 + 99872*u**2 - 2347*u.\nAnswer: -126238404960*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 553070?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:20 AM and 11:08 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 586, 259, -238, -863, -1574, -2329, -3086, -3803?\nAnswer: -4438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qrqrqrqq. Give prob of picking 2 q.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tlel when four letters picked without replacement from {t: 1, e: 2, l: 4}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 974741 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3*5\/((-15)\/(-344)). Let h = 88 + g. Suppose -4*w + 3*c = -563, 3*w - 4*c = -5*c + h. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 208? (a) 1 (b) -43 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2775 divided by -1.\nAnswer: -2775","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30335.\nAnswer: 5, 6067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + 0. What is the third derivative of 2*n**6 + 3*n**w + 0*n**6 - 3*n**6 wrt n?\nAnswer: -120*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38878068 to the power of 1\/2, to the nearest integer?\nAnswer: 6235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 4*b - 10 = 3*j, -4*j = -2*b - 30. Let n be (2 - j\/6)*849. Suppose 3*y = -5*a + 715 + 139, -2*a = y - n. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2995 divided by -19\nAnswer: 2995\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 158 + -157.68. Let z = 8907.1299773 - 8907.45. Let o = b + z. Round o to six decimal places.\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 857800?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 7224.\nAnswer: 36120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - -0.5. Let w = -0.1 + r. Let p = 2.91 + 0.09. Which is the second smallest value? (a) -5 (b) p (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(95)\/sqrt(5) + sqrt(190)\/sqrt(10) + 0 + (((sqrt(304) - 2*sqrt(304)) + -3 - sqrt(304)) + ((sqrt(304) + 2)*-5 + sqrt(304) - sqrt(304)))**2.\nAnswer: 730*sqrt(19) + 15069","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**9)**(-36)*(u*(u\/(u\/u**16))\/u)\/(u\/(((u*(((u\/(u*u*u*u\/u**(-9)*u))\/u*u)\/u)\/u*u)\/u)\/u)) assuming u is positive.\nAnswer: u**(-324)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -292985134 divided by -67477\nAnswer: 4342","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*s - 27*s = 41. What is the remainder when s is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-6)\/(-36) + 2\/36*8691?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h and 1 r when four letters picked without replacement from hrvrrrrrvrrhhrrhhrr.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 8\/16*(6\/3 + 7) and 55\/112.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14265860*h**5 + 2*h**2 - 59422*h + 6 wrt h?\nAnswer: -855951600*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 32*y**3 - 56*y**2 + 56*y + 954. Let n(c) = 11*c**3 - 18*c**2 + 18*c + 318. Calculate -28*n(p) + 9*u(p).\nAnswer: -20*p**3 - 318","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 838 + -810. Is 14 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*c**5*g - 688154*c**3*g + 2*c**2*g + 107999*c*g - 3*c wrt c.\nAnswer: 120*c**2*g - 4128924*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 + 21)*10\/25. Let t be ((-9)\/2)\/((-6)\/k). Suppose -t*o = -5*y - o, -5*o - 3 = -2*y. Is -2 greater than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134 = -16*u + 26. Calculate the lowest common multiple of u and 176.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*d*o*x - 40*d*x + 104*d - 117*o - 30*x - 2 wrt x.\nAnswer: -3*d*o - 40*d - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -121651.71 to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2614392 and 2614392?\nAnswer: 2614392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/4*5058\/(-1405)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18616 - 18611. What is the closest to 0 in q, -17.59, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111001 + -101101001?\nAnswer: -110100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7205, -28826, -64855, -115292, -180137?\nAnswer: -259390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 399308\/3 or 133104?\nAnswer: 133104","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 - 14 = 4*x. Suppose 3*b = -2*c - 2*b + 71, -154 = -4*c + x*b. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cr when two letters picked without replacement from {r: 2, l: 4, c: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) 1 (c) -3 (d) -2\/5 (e) -8 (f) -5.2 (g) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 AM and 10:17 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -462*h - h**2 + 0*h**2 + 110 - 240 + 128 to the form x + i*h + t*h**2 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 55880791 greater than or equal to 55880791?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4322.724l to millilitres.\nAnswer: 4322724","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3094 - -4055. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/(-15) + 8\/5. Let h be (3 - -1)*162\/216. Solve -d = -z + h for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 186744550*l**3 - 52*l**2 - 2*l - 1074180.\nAnswer: 1120467300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1929915 is divided by 643278?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-82*x + 17*x - 398*x)*(-1 - 25 - 37 + 10 + 13 - 35).\nAnswer: 34725*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(143)\/sqrt(275) - sqrt(13)) + sqrt(1300) + 1 + sqrt(1300) - ((1*sqrt(104) + sqrt(104))\/sqrt(8) + sqrt(104)\/(-1*sqrt(8))))*-5 + -5.\nAnswer: -91*sqrt(13) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(-1\/2)\/(o\/(o\/o**5)*o))**(20\/9))**(-5\/4))**9 assuming o is positive.\nAnswer: o**(325\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 443.9462um?\nAnswer: 0.04439462","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2 - 13*b + 18. Let s be j(-14). Let a be ((-24)\/(-16))\/(-2 - (-11)\/s). What is the tens digit of (-6)\/2 + 3 + (53 - a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -46*b + 134*b + 440 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -90 - 18. Let o be k\/77 - 36\/(-126). Let b = 9 + -5. What is the closest to -1 in b, 0.3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -437 divided by 7681\nAnswer: -437\/7681","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.096, -0.1, -20, -0.3 in descending order.\nAnswer: 3, 0.096, -0.1, -0.3, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a gram in milligrams?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v + 3. Let d = 69 + -75. Give p(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2117709 - 2117709 - 6*z.\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -3*t + 3*t - 5*t + 1 + t + 4*t**2. Let u(k) = -k**2 + k. Let l(h) = o(h) + 3*u(h). Give l(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-6)\/(-15))\/((-4)\/(-1 + -139)). List the prime factors of (29176\/3)\/t + (-1)\/(-3).\nAnswer: 5, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 10}. Give prob of picking 3 r.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 7793.6 to the nearest one hundred.\nAnswer: 7800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-27482)\/3171)\/((-3)\/18)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 6 = -2. Suppose 3*r - 20 = -g, j*g - 1 = 5*r - 6. Suppose 5*t = q - r, -5*q + 25 = 5*t - 0*t. Solve t = -a - 2 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, y: 2, k: 6, h: 5, i: 2}. What is prob of sequence ttth?\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -47137 and -245.\nAnswer: 11548565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 467259246931 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 4*a**3 - 6*a. Let z(x) = 3*x**3 - 5*x. Suppose 28 = -2*r - 0*r. Let c be 4\/14 + (-10)\/r. Let l = c - 6. Determine l*z(s) + 4*y(s).\nAnswer: s**3 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + -4. Let m = 159830 + -159833. What is the second smallest value in 1\/9, m, h, 2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*c - 194*c - 25315 + 73555 = 0. What is the remainder when 346 is divided by c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (5*(sqrt(143) - sqrt(143)*1) - (sqrt(143) - sqrt(143)*-2)*4)\/(sqrt(33)\/((sqrt(96)\/sqrt(4))\/sqrt(8))) + -4)**2 + 0.\nAnswer: 48*sqrt(13) + 1876","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1)\/(n*n**(-3\/4)))**(-3\/8))**(-6) assuming n is positive.\nAnswer: n**(-45\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2295, 8870, 19727, 34866, 54287?\n\"Answer: 2141*x**2 + 152*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -55a9 + 2?\nAnswer: -55a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + -1112?\nAnswer: -1111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-312 - 670*y**2 + 76 - 243*y**2 + 237)*(-3*y + 3*y + y**3).\nAnswer: -913*y**5 + y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - -23332241023?\nAnswer: 23332241020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9213.642ng to kilograms.\nAnswer: 0.000000009213642","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 5*b - 16. Let c(m) = 2*m + 12. Let g(u) = -3*u - 16. Let l(v) = 7*c(v) + 5*g(v). Let f(a) = 4*d(a) + 18*l(a). Give f(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(108)*-5)\/sqrt(3) - (sqrt(36) - sqrt(576)*-4))\/(6*(-5*sqrt(12)*-2 - sqrt(132)\/(sqrt(33)\/sqrt(3)))).\nAnswer: -11*sqrt(3)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 6) in base 12?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/7 + (-102)\/(-119).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**2 + 7*p + 13. Let s be k(8). Let u(r) = -4*r + 6. Calculate u(s).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 212003?\nAnswer: 11, 19273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*i**3 + 4*i + 20*i + 11 - 11 - 24*i.\nAnswer: 16*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 2*q - 30. Let u be s(19). Let o be 2*(132\/u - -1). Suppose 0*y = 7*y - o. Solve -y*l - 9 = -2*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 12 = 0, -4*v + 2*z + 88 = -266. Is v a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 879524.8ml?\nAnswer: 879.5248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/7, -6, -4, 0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -2*q**3 - 3*q**2 - q - 2. Let l be w(-2). Suppose -2*y - 682 + 586 = 0. Let k be (60\/y)\/((-1)\/l). Solve -k*n = 0, -4*n - 3 = -3*r - 3*n for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 - 13*s - 1. Let p be b(-10). Let r = 25 + p. What are the prime factors of r?\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the third derivative of q**6\/5 + q**4\/24 + 9*q**3\/2 - 7*q**2 - 2. Find the second derivative of c(s) wrt s.\nAnswer: 144*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -126 + 106.6. Let t = k + 19. Which is the biggest value? (a) -3 (b) 1\/2 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -39100, -39396, -39898, -40612, -41544, -42700, -44086?\n\"Answer: -i**3 - 97*i**2 + 2*i - 39004","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2. Suppose 3 = 4*d - 5. Let w(i) = -7*i**d + 0*i**2 - 5*i**2 + 4*i**2. Give t(w(c)).\nAnswer: -64*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 559270?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 v when three letters picked without replacement from vdvddddddvdvvvdv.\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (16\/6)\/((-14)\/6 - -3). Let z be (((-9)\/g - -3)*-24)\/(-2). What is z rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 171233 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 98 = 2*o - 5*o, 2*j = -8. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 5)*((-174)\/(-30) - 6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (135\/75)\/(8*(-9)\/180*3\/(-20))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 11:38 PM?\nAnswer: 4:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 + (1184 - 1161 - (87 + 2 - 1)).\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 17184 and 74663764.\nAnswer: 1791930336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 - 3*s + 3 + (3 - 4 + 0)*(1 - 1 + 2*s) + 0*s - 2*s + s - 2*s - s + 2*s.\nAnswer: -7*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 120 in 0.01, 0, -1, 110, -2\/7?\nAnswer: 110","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 124760?\nAnswer: 2, 5, 3119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 510008 to the power of 1\/3, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a millimeter in micrometers?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2147.\nAnswer: 19, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 17680357 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17215?\nAnswer: 5, 11, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 180 divided by 36.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 559.\nAnswer: 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 24004 = -z - z, -5*z = 3*o - 60029. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -42318500, -84637012, -126955526, -169274042, -211592560, -253911080?\n\"Answer: -q**2 - 42318509*q + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - -9. What is the remainder when 62 is divided by (-37)\/(-4) + -2 + 21\/j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*n + 59*n = 0. Let c be (-990)\/2060 + 1\/2. Is c <= n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -10*w**2 + 122*w - 6. Give c(12).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*j**2 - 16*j**2 - 59*j**2 - 38*j**2 + 117*j**2.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 67*i**3 + 3*i**2 + 15*i - 14. What is the thousands digit of h(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -763 divided by -1170\nAnswer: 763\/1170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/64267 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1730293.\nAnswer: 59, 29327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 371605, 371609, 371615, 371623, 371633, 371645?\nAnswer: 371659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 12) in base 16?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - 40\/8) + -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 11 = -3*f, 3*f + 4*v - 29 + 10 = 0. Solve -3*q + 0*q - 10 = f*k, -k = 5 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 2\/11*k**3 - 2\/11 + 6\/11*k - 6\/11*k**2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(3\/19)\/u*u*(u*u**(2\/17))\/u*u*u*u assuming u is positive.\nAnswer: u**(1058\/323)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -c**2 + 8*c**2 - 4*c**2 - 1 - 3*c**4 in the form u*c**3 + m*c**2 + j*c**4 + h*c + i and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2834.36 + 44983.\nAnswer: 42148.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -30*h**2*l**2*o - 9*h**2*l + h**2*o + h*l*o + 2*l**2*o - 1 wrt l.\nAnswer: -60*h**2*o + 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5403 + 9048. Is 45 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiesiiiseiiessisvsse. Give prob of sequence eis.\nAnswer: 28\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**2 - 15*n - 51. What is m(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/21*((-3)\/2)\/3?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -3. Let z = -258 + 260. Which is the closest to j? (a) z (b) 2\/7 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, q: 1, t: 1}. What is prob of sequence rq?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -24*o**3 - 9*o**2 + 32. Let x(h) = 26*h**3 + 8*h**2 - 32. Let z(t) = 3*g(t) + 2*x(t). Let r(y) = -7*y**3 - 4*y**2 + 11. Calculate 17*r(k) - 6*z(k).\nAnswer: k**3 - 2*k**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 - w**2 + w + 2. Let d be t(0). Let b(c) be the first derivative of -2*c**2 + 0*c**d + c + 2 + c**2. Differentiate b(g) wrt g.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 579816*b - 1159765*b + 579886*b.\nAnswer: -63*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.9 * 0.0714.\nAnswer: 0.06426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fllfflffflflffff. What is prob of sequence lff?\nAnswer: 55\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that b**3\/3 - 22423*b**2 - 1413972*b = 0.\nAnswer: -63, 0, 67332","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -263\/9 or -30?\nAnswer: -263\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 89 + 19 = 0. Let p be i\/6 + (-12)\/36. Find the second derivative of -2*a**p + 3*a + 2*a**2 + 3*a**5 wrt a.\nAnswer: 60*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j - 9*j - 1 + 3. Is a(-6) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 2*k + 3. Let i(t) = 3*t + 5. Let y(x) = 3*i(x) - 5*p(x). Let b(v) = 240 - v**2 + 2*v**2 - 245 - 32*v + 32*v. Calculate y(b(z)).\nAnswer: -z**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 88, 174, 258, 340?\n\"Answer: -h**2 + 89*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 + -10 - -2) + (7 - -4) - (-261 + 232).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*t = -3*j - 12, 2*t + 3687 = 2*j + 3693 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (119\/42)\/(-17) - (-14)\/12. Let v(m) = -5*m + 1. Determine v(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -30 + 41. Suppose -o - 3*o - 5*i = -33, 0 = 2*o - 3*i + c. Suppose 2*a = -o*p - 0*a + 96, -5*p = 2*a - 234. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 72*s**4 + 13249200*s**3 + 8832698*s**2 - 12881170*s - 9200800 = 0?\nAnswer: -184016, -5\/6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1914)\/(-24) + (-1)\/(-4). Suppose f = 5*i + 5*b, 5*i = -4*b - 27 + 107. Let l = i + -3. Calculate the highest common factor of l and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55032782 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: Put 2\/3, -0.2, -0.33 in decreasing order.\nAnswer: 2\/3, -0.2, -0.33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 712 is divided by 710.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i = -5, -126 = -15*b + 4*i - 407 for b.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*l + 22*l - 18*l = 140 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/(1 + 1))\/(20 + -7). Let k = 178 - 173. What is the third biggest value in -0.8, -5, n, k?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1017679, 1017284, 1016889, 1016494?\nAnswer: 1016099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 14*l - 893. Let r be y(65). Solve 0 = -2*c + 3*v - 13, 5*c - 37 = -3*v - r for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**2 + k - 2. Let w be u(4). Let v = w - 7. What is the remainder when 31 is divided by v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -29016 - -29016.11. What is the closest to 2\/7 in -2, b, -2.4, 2\/3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.46 + 0.26. Let m = -0.01 + 0.01. Put m, q, -0.5 in increasing order.\nAnswer: -0.5, q, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 652*z - 10130 - 10613 = -531 for z.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*m + 2*m + 12 = 14*m + 4*q, 2*m = -51*q + 98 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 8:46 AM?\nAnswer: 9:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3550 - -6155. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*h**2 + 26*h**2 + 3*h**2)*(-3 + 2 + 0) in the form a*h**2 + q*h + x and give a.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -6*k**2 + 3*k - 9. Let g(l) = -5*l**2 + 4*l - 8. Let n(d) = -4*g(d) + 3*y(d). Calculate the remainder when 59 is divided by n(5).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 1)*(-2*g + 14*g + 0*g)*(-2*g + 3 - 3).\nAnswer: -72*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 3*i**2 - 3*i + 2. Let x(h) = -6*h**2 + 5*h - 3. What is -6*x(v) - 11*z(v)?\nAnswer: 3*v**2 + 3*v - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, h: 4, l: 2, y: 8}. What is prob of sequence lhl?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of d**5\/60 - d**4\/18 + 652*d. Factor o(j).\nAnswer: j**2*(j - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39 + 978*r**3 - 1967*r**3 + 55 + 977*r**3.\nAnswer: -12*r**3 + 94","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(-3)*f\/(f\/f**(-2\/5)*f))**(-5\/14) assuming f is positive.\nAnswer: f**(-13\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 3*n - 98. Let s be h(0). Let t = -35 - s. Suppose 3*l + 4*r - t = 0, 3*l + 2*r = r + 54. What is the highest common divisor of l and 170?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -3*m + 57, -4 = 2*d - 2. Calculate the remainder when 38 is divided by m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -169\/28559790 and -125\/44712.\nAnswer: 114239160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14713 and 2005.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of -2*n**3\/15 + 104*n**2 - 27040*n - 1156. Factor q(d).\nAnswer: -2*(d - 260)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -3*g + 2. Let k(q) = -2*q + 20. Let r be k(0). Let o(z) = -r + 19 - z - 4*z + 6*z. Determine 2*j(l) + 4*o(l).\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 4*v**2 + 7*v**2 - v**2 - 4*v**2. Let b(u) be the second derivative of 11*u**4\/2 + 81*u - 1. Calculate g(b(t)).\nAnswer: 26136*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q - 1. Suppose 25 = w - 10. Let f = 36 - w. Determine c(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 + 3*p**2 - 12*p + 36. Calculate l(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20611 is divided by 10295?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-152)\/10 + (-14)\/(-70). Let l be (-3)\/(-6) - (-4 + n\/(-6)). Suppose -3*v + 411 = 3*s, 0 = l*v - 5*v - s + 421. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003730205 rounded to 4 decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 4*o + 3817, -284*o = -285*o + 3. Does 77 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n + 2. Let o(b) be the third derivative of -b**4\/24 + b**3\/6 - 4*b**2. Let g(i) = -6*o(i) + 3*p(i). Calculate g(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*o**2 + 44*o - 44*o)*((-3*o**2 - o**2 - o**2)*(o + 0*o + o) + 2*o + 2*o**3 - 2*o - 11*o**2 + 11*o**2 - 8*o**3).\nAnswer: 112*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -10*d + 3600. Suppose -7*m - d = -15*m. Let b = m + -67. What is the remainder when 95 is divided by b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -36*p**3 - 11*p**2 - 11. Let j(h) = -7*h**3 - 2*h**2 - 2. Give 11*j(z) - 2*l(z).\nAnswer: -5*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2\/2 - 1039955*w\/2 - 2079918.\nAnswer: (w - 1039959)*(w + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5810 + -5849. Let y = -13 - -51. Let f = z + y. What is the third biggest value in 1\/8, f, -0.5, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 10*s + 297. Let h be w(-30). Let y(n) = -2*n**2 - n + 4. What is y(h)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -52*d + 52*d - 10*d**2 to r*d + q + k*d**2 and give k.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbbbbbxbbx. What is prob of sequence bb?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8755, -8753, -8751?\nAnswer: -8749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*l + 17*l = 4*a + 25, -2*a + 5 = l. Suppose -h + 515858 - 20858 = a. Round h to the nearest ten thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1052, -2055, -3056, -4055, -5052, -6047?\nAnswer: -7040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 - 2*j - 4. Let y be o(-5). Suppose -2*i + 3*q - 22 = 0, 2*i + 4*q + 148 - 182 = 0. Sort -5, -2, i, y in decreasing order.\nAnswer: y, i, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53295465?\nAnswer: 3, 5, 1301, 2731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 141 (b) 3 (c) -5 (d) -41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -142100 (base 6) in base 15?\nAnswer: -3ea3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 5, t: 3}. What is prob of picking 3 t?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -3020*v + 42309. Give z(14).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-1\/2))\/k**(-6)*(k*k**(-1\/3)*k*k)**(8\/5))\/(k**6*(k**(-3)*k)\/k)**(2\/17) assuming k is positive.\nAnswer: k**(5311\/510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3055 - 3083. Which is the third biggest value? (a) -4 (b) j (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -21 in -5, 8, 2\/3, -0.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 42770137 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -5 - (-2 + -6 + 7).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 2*g - 1)*(-g**2 + 0*g**2 - 2*g**2) + 59*g + 17*g**3 - 59*g - g**3 - 2*g**3 + 4*g**3 as x*g**2 + j*g**3 + q*g + u and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 42\/7019 or 0?\nAnswer: 42\/7019","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -385*w**3 + 410*w**3 + 0*w**2 - w + 2*w**2 + 3 in the form o + v*w + r*w**3 + d*w**2 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136*a + 1406 - 274 = 419*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2*(-1)\/2 - 0. Calculate the common denominator of (1\/30)\/(b\/97) and ((-28)\/4 - (-114)\/16)\/(-2).\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22142.\nAnswer: 2, 11071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/2, -5, -36\/7, 55?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 23863 - 14180 = -2*j, 0 = -j + 4*g + 19009. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 + -11. Suppose n*y = 16, -2*y + 58 = -3*q - y. Let m be (q\/(-8))\/(3\/6). Is m at least as big as 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -24*s - 1311. Is q(-58) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00009054349 to five decimal places.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 56*y - 611. Let n be r(11). Solve 3*g = -h + 2*g + 4, -5*h + 20 = -n*g for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/21, -5, 756\/13, -1.35?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*z + 4*z**2 + 11*z**2 + 214 - 13*z - 14*z**2 - 16*z.\nAnswer: z**2 - 32*z + 214","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -427\nAnswer: -2\/427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 494243 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-257)\/(-4) - 2\/8. Suppose 4*h + 4*l = 8*h - 52, 4*l = 5*h - u. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3851 times 2.2\nAnswer: -8472.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 5 - (-20 + 7 + 5)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - (-8 - -17))*1\/2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 464 and 3979003?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -3*n. Let z(w) = -w**2 + 2. Let o(a) = -5*a**2 + 11. Let t(q) = -4*o(q) + 22*z(q). Determine v(t(g)).\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o**3\/3 - 23435*o**2\/3 + 50242*o\/3 - 26800\/3 = 0. What is o?\nAnswer: -3350, 1, 8\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 136 and 98243.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1203052*h**3 - 53868*h**2 - 804*h - 4.\nAnswer: -4*(67*h + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 3166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q = -4*t + 4*q - 52, -5*q = 2*t + 26. What is the common denominator of 60\/(-38)*(-11)\/(-44) + 2 and t?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 4*c + 8, -y - 28 = -5*y - 5*c. Suppose 4*l - 4*m = -y, -5*l - 3*m = -m + 1. What is the remainder when 1\/1*(56 + l) is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/6 + (-22)\/(-2). Find the second derivative of -4*z - 38*z**2 + 6*z**3 + 38*z**2 - f*z wrt z.\nAnswer: 36*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4588 and 133489007.\nAnswer: 1147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ellvllevz. Give prob of picking 1 e and 2 l.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 131190654?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 4*m, -3*m + 0*t - 7 = -2*t. Let d(z) = z**3 + z**2. Let a(v) = 4*v**3 + 5*v**2 + 2*v. Determine m*d(x) + a(x).\nAnswer: -x**3 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 + 14*m**2 + 22*m + 12. Determine k(-12).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -4*i + 40. Let h(j) = -9*j + 78. Let m(x) = -3*h(x) + 5*q(x). Let o be m(10). Let b = 40 - o. Solve -5*l + 2*a = 11, -b*l - 10 - 12 = 5*a for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 18470?\nAnswer: 36940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -5*t**3 + 30*t**2 + 37*t + 6. Let d be b(-1). Let r(p) = 5*p**2 - 7*p - 3. Give r(d).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 10, i: 8, k: 1}. Give prob of sequence ii.\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -270, 0, 8, 3 in decreasing order.\nAnswer: 8, 3, 0, -270","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1969\/9 + 219. Factor -4\/9 + i*f**2 + 2\/9*f.\nAnswer: 2*(f - 1)*(f + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5 bigger than 0.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 4*t = -4*j, 4*j + 3 = -t. Let k be 3\/5*t\/3. Which is the second smallest value? (a) 5 (b) 0.1 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -824 (b) 0.5 (c) 5 (d) -119 (e) 2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*v + 7 + 10*v + 4*v + 9*v + 5*v in the form g + z*v and give z.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/7 (b) 4 (c) 24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 5, f: 11}. Give prob of sequence bbbb.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1380 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -8.104 (b) 0 (c) 2 (d) 0.5 (e) 2\/13 (f) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1073 - 761. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100 is divided by 21?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 2\/5*u**2 - 16\/5*u + 14\/5 = 0?\nAnswer: 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -51, -29, -7, 15, 37?\n\"Answer: 22*s - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - -231403?\nAnswer: 231343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*a - 1937 + 983 - 2*a**2 + 5*a + 954.\nAnswer: -2*a**2 + 14*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/6*(10 - 8). Let g(x) be the first derivative of -1\/5*x**5 - 1\/3*x**2 + 1\/12*x**4 + v*x**3 + 1\/18*x**6 - 2 + 0*x. Let g(w) = 0. Calculate w.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 4 = -0*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -2*g**2 + 5*g - 2. Calculate s(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -854 times -11650\nAnswer: 9949100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of o**3\/3 - 6*o**2 - 14*o - 239. Calculate the lowest common multiple of q(14) and (71 + 1)*4\/6.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 329*c**2 - 950*c + 4. Let h(o) = -o. Determine h(r(d)).\nAnswer: -329*d**2 + 950*d - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 15392800 to the nearest one hundred thousand.\nAnswer: 15400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-20)*x\/x**(18\/11)*x assuming x is positive.\nAnswer: x**(-216\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -78*u**4 + 3 + 42*u**2 + 6*u**3 + 33*u**4 - 27*u**5 + 21*u + 0*u**3 = 0. What is u?\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.4 and 0.058.\nAnswer: 0.458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-598))\/(1279\/(-99762))\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1)\/2)\/(447764\/7440 - 60))\/((-2)\/11).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 676396\/(-84456) + (1 - -7)*1 and 167\/270.\nAnswer: 6210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 30, 48, 66?\n\"Answer: 18*u + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + f = 4*i - 35, 2*f = i - 16. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 76703, 76713, 76729, 76751, 76779, 76813, 76853?\nAnswer: 76899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -21783*i**2 - 1457 - 21799*i**2 + 43593*i**2 in the form o*i + n*i**2 + h and give h.\nAnswer: -1457","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -27*w - 3. Let x be m(-5). Suppose 9 = -3*l + x. Calculate the remainder when 78 is divided by l.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 PM and 11:36 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1761085 to the nearest integer?\nAnswer: 1327","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ykwz when four letters picked without replacement from {z: 4, u: 1, m: 4, y: 1, w: 1, k: 1}?\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 13, 8 in ascending order.\nAnswer: -2, 8, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = 4*u. Factor -2*d - 2*d**2 + 0*d**3 + 3*d + d**3 + u*d**2.\nAnswer: d*(d - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) 0.4 (c) 15 (d) 1\/2 (e) -2\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 380*j - 3220 = -10440 for j.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -34*k**2 - 6*k - 3. Let u(t) = -33*t**2 - 8*t - 4. Determine -3*p(w) + 2*u(w).\nAnswer: 36*w**2 + 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 times -0.5?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -134708333*p**3 + 504465786.\nAnswer: -404124999*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.8314 - -2.0314. Which is the closest to g? (a) -52 (b) 1\/4 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 - 9*p**2 - 293*p - 2330. What is j(-8)?\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/8)\/((-3)\/((-30)\/(-85))).\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 226274548 to the nearest integer?\nAnswer: 609","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 476159747?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 38371 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/6)\/((-1)\/(-12)). Suppose -2*p + 20 = a*u, -2*u - u + 29 = 5*p. Let v(d) = -1 + 7*d**2 - 2*d**2 + 2*d - 3*d**2 - 3*d**2. Calculate v(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.1 and -0.05672.\nAnswer: -0.15672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, e: 2, y: 3, c: 1, r: 1, s: 5}. What is prob of picking 1 e and 1 s?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q + 4*q - 4*s + 4654 = 0, 3*s + 2814 = 3*q. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 83, 174, 265, 356?\nAnswer: 447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 + 4*c**2 - 3*c - 6. Let n be i(-3). Let w be (0 + -1)\/(n\/24). Sort w, -0.2, -1\/6.\nAnswer: w, -0.2, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 - 4*u**2 + u + 3. Let x be ((-8)\/24)\/(3\/153). Suppose t = 5*t - z - 78, -3*z = -3*t + 54. Let c = x + t. What is b(c)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55219139 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.22 + 5.22. Which is the third biggest value? (a) n (b) -4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -37 in 0.3, 0.01, -9, -569, 4?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.486 plus 6?\nAnswer: 7.486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 11*x**2 - 174*x - 512. Let a be l(-3). Solve -4*h + 110*p - 7 = a*p, 2*h = 4*p - 14 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 8:33 AM?\nAnswer: 2:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -r**5 - 6929*r**2 + r + 26310.\nAnswer: -20*r**3 - 13858","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/4141978 not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 AM and 10:07 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 799 + -804. Sort 2\/7, w, 3 in ascending order.\nAnswer: w, 2\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -4*f**4\/5 - 118113*f**3\/5 + 88588*f**2\/5 + 29529*f\/5 = 0.\nAnswer: -29529, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/15, -0.02, 5, 3\/2, -6, 120 in ascending order.\nAnswer: -6, -2\/15, -0.02, 3\/2, 5, 120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 89.37194?\nAnswer: -89.37194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-450)\/(-27)*39\/65\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1789700 to the nearest one hundred thousand.\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 15*g - g**2 - 4 + 7*g - 17*g. Determine r(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -73353, -73331, -73309?\n\"Answer: 22*w - 73375","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 1365136563?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - 0.5. Let n = x - -0.6. Let s = -0.2 + n. Is 1 less than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/4*95\/(9500\/(-160))*(-33)\/8.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 + 5*t**2 + 3. Let q be (-2 - (-18)\/4)*-2. Let w be m(q). Suppose w*i + 40 = 8*i. Solve 4*u = n - i, 2*n + 6 = -u - 2*u for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22387\/10 + -2229. Find the common denominator of (3\/9)\/(3\/(-157 + 1)) and u.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1\/336 - 55\/336. Put i, 11, 0.3 in ascending order.\nAnswer: i, 0.3, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 69470 divided by 5.\nAnswer: 13894","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 30 + 7. Let u = 42 - w. Suppose u*o - 154 = l, -3*o - l + 106 = -5*l. Is o a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 114 divide 7604?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/(-8410) - 0)*5. Let b = 36155\/3364 + q. Let a(l) = 58*l + 1693. Let t be a(-29). Which is smaller: b or t?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(4\/9)*l**(3\/10)*l)**(1\/47)*(((l\/l**(-12)*l)\/l)\/(l\/(l\/l**14)*l))**(2\/63) assuming l is positive.\nAnswer: l**(-781\/29610)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1014 + 1459 + 532 + 167 - 564)*(n**3 - 12*n**4 + 7*n**4 + 23*n**4) to the form i*n**2 + q + d*n**3 + y*n + w*n**4 and give d.\nAnswer: 2608","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, 46, 10, -93 in descending order.\nAnswer: 46, 10, -22, -93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*2*((sqrt(325)*2*-1)**2 + sqrt(325) - (-5 + sqrt(325) + 0))*6.\nAnswer: 93960","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23 - 27. Let p be (-10)\/4*3\/30*d. Let k be 9\/(-18)*(5 - p). Sort -4, 1, k.\nAnswer: -4, k, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62313 is divided by 429.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the third derivative of t**7\/210 - 21*t**6\/40 - t**4\/24 + 18*t**2 + 1. Find the second derivative of p(z) wrt z.\nAnswer: 12*z**2 - 378*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 114969242?\nAnswer: 2, 57484621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/3)\/(32\/(-96)). Suppose 24 = l*p - 2*x, p - 5*x + 7 = 3. What is the highest common divisor of p and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 38309544 and 777.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.309 + 1.309014766. What is a rounded to 6 dps?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -b**3 + 4*b**2 + 71*b + 66 = 0. Calculate b.\nAnswer: -6, -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 40\/36023 and -49\/1180446?\nAnswer: 15345798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7285 + 10684. What are the prime factors of z?\nAnswer: 3, 11, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 48\/2 + 2 + -1. Let g be (-81)\/(-18)*(-40)\/(-18). Calculate the greatest common factor of g and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + d?\nAnswer: d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h - 7. Let g = -7 - -12. Let n be j(g). Suppose 2*p = u + 18, -4*p = -8 - 12. Put n, 2, u in descending order.\nAnswer: 2, n, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54 + 301 = 55*s - 42*s for s.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - 5. Let a = 0.98 + -1.08. What is the closest to a in -5, 0, g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1225.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -2*v - 5*m, -6*m = -6*v - 11*m - 5. Solve 3*d + j + 10 = v, 4*j - 126 = -142 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qvnpnqvvvpp. What is prob of sequence nnpq?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 - 90*v + 180. What is c(-92)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 4 + (0 - 2 + 0)*(-2 + 0 + 4))*((2*l + l - 2*l)*(-1 + 0 + 3) + l + 0 + 0 + 6547 - 2*l + 5*l - 6439).\nAnswer: -30*l - 540","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 636 by 952.\nAnswer: 159\/238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*p**3 - 134 - 2*p**2 - 13*p**3 + 6*p**3.\nAnswer: 4*p**3 - 2*p**2 - 134","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -18*g + 55*g - 19*g - 31*g. Let o(u) = -3*u**2 + 32. Determine l(o(q)).\nAnswer: 39*q**2 - 416","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of k**6\/90 + 19*k**5\/30 - k**4\/12 - 58*k**3\/9 - 38*k**2\/3 + 218*k. Determine b, given that g(b) = 0.\nAnswer: -38, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 235035110 + 0?\nAnswer: 235035110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -47b5d (base 15) in base 12?\nAnswer: -b0414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00008714 to 5 dps.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 0 + ((-5 - 33) + 10 - -17).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 309 divide 285439939?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104*x - 52*x - 40 = 56*x - 2*a, -8*a + 21 = -3*x - 2*a for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 5:36 AM?\nAnswer: 7:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -50, -110, -186, -278, -386, -510, -650?\nAnswer: -806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6141, -12291, -18441, -24591, -30741?\nAnswer: -36891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 d when three letters picked without replacement from {w: 1, i: 3, r: 1, d: 5}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 288*v**2 - 973*v**3 - 280*v**3 + 469*v**3 - 288*v**2.\nAnswer: -784*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 88972158?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4 + 3 + 5*1. Let v(x) = -2*x + 8. Let p be v(3). What is the derivative of l - p + 5*o - 4*o wrt o?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g - 15 + 44 + 13*g**2 - 26 + 3*g**2 + g**2 - 2*g**2 - g**2 - g**2 + 0*g**2 + (0*g - g - g)*(3*g + 0*g - g).\nAnswer: 9*g**2 - 2*g + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of -s**3\/6 - s + 8. Let o(l) = -l**2 + 5. Give o(a(z)).\nAnswer: -z**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 + u - 1. Let k(d) = -15*d**2 + 5*d - 4. Determine -k(f) + 3*v(f).\nAnswer: 12*f**2 - 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243) + 3 + 1*sqrt(243) - ((sqrt(12) + 0 - sqrt(12) - sqrt(12)) + -5)) + (3*(-2 + 5*(sqrt(3) - (sqrt(12)\/sqrt(4) + -5))))**2.\nAnswer: 20*sqrt(3) + 4769","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 + 8*x**2 + 3*x + 21. Calculate p(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 5, 4, 2\/7, -2\/23?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3841 or -2333?\nAnswer: -3841","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*0\/(30\/(-15)))\/(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2*h + 4)*(3 - h - 3) + 2*h**2 + 0*h**2 + 0*h**2 - 435*h**2 + 145 - 426*h**2 + 860*h**2.\nAnswer: 3*h**2 + 145","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2*d**2 - 7*d + 2. Let s(u) = u - 1. Calculate p(t) + 4*s(t).\nAnswer: -2*t**2 - 3*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -6*i + i. Let p(d) = 3*d - 4*d + 4*d. Give p(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -5*m**2 - 31*m + 90. Let n(q) = 70*q**2 + 435*q - 1260. Let i(y) = 55*c(y) + 4*n(y). Factor i(r).\nAnswer: 5*(r - 2)*(r + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, 53, -1.\nAnswer: -2, -1, 3, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 30 divided by -48\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**2 + 3*x - 3. Let n = 4 - 6. Let z(i) = -5*i**2 - 16*i + 16. Let q(d) = n*z(d) - 11*o(d). Suppose 0 = 8*b + 14 + 2. Give q(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 - 4*c**2 + 2*c - 5. Suppose -6*h = -h + 25. Is s(h) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -202 divided by -18?\nAnswer: 101\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 2 - 20 = 0. Let j(d) = -d**2 + 2*d. Let q(i) = -i. Calculate r*j(w) - 5*q(w).\nAnswer: 3*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -6*q**2 + 17*q + 63. Give g(-5).\nAnswer: -172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*o**2 + o**2 + 0*o**2)*(-4*o + 3*o + 3*o) - 2*o**3 + 4*o**3 + 0*o**3)*(1 - 2 + 3)*(o - 5 + 5).\nAnswer: -4*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -5*x - 4*n, -761*x + 759*x - 2*n + 2 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 50\/35*7*(-7)\/(-42)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*2*-2*2300\/40. Suppose -7*z + 1233 = -m. Is z a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(((-12)\/(-3))\/(-4))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6711.169 grams in micrograms?\nAnswer: 6711169000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-39)\/52 - 1\/(4\/(-47)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d - 3. Let w be v(-10). Suppose -5*t + t = 0. Suppose -5*q - p + 7 = t, q = -2*q + 5*p - w. Calculate the greatest common factor of q and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*z + 28*h - 29*h = 36*z - 38, -z - 5*h - 19 = 0 for z.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6 - 240358?\nAnswer: -240365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 311747176?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 282074542.\nAnswer: 2, 47, 601, 4993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 3 (b) -2\/5 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/6 + 6*(-8)\/(-18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11100011101011 (base 2) to base 12.\nAnswer: 8523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 64014798?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**4 + 15*j**3 - 36*j**2 - 4*j + 48.\nAnswer: -(j - 12)*(j - 2)**2*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12136.\nAnswer: 2, 37, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 - 83*q - 527. Calculate the remainder when d(-75) is divided by 47.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1890.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 28\/2*2\/(-4). Let v(u) = u**3 + 8*u**2 + 6*u - 4. Let c be v(n). Let r(a) = -74*a + 5*a**2 - 3 + 72*a + a**3 - 2*a**c. Determine r(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 3*f - 9, 4*m = -3*f + 54 - 45. Which is the nearest to m? (a) 1 (b) 4 (c) 3\/5 (d) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.1 + 2.9. Let h(z) = -3*z**3 - 10*z**2 + 12*z + 14. Let j be h(-4). Which is the nearest to -1\/4? (a) f (b) j (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/87 at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 + 4 - 2)*(-1 + 3 + 3) + 4 - 1 - 5 + 11 - 8 + 7)*(-53*x - 2*x + 7*x) to the form j*x + a and give j.\nAnswer: -624","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + -4. Let g(j) = -j + 2. Let d be g(6). Which is the smallest value? (a) d (b) 5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1697 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -15*f**4 - 3*f**3 + 3*f + 12. Let a(d) = 30*d**4 + 5*d**3 - 5*d - 24. Let s(y) = 3*a(y) + 5*c(y). What is the derivative of s(m) wrt m?\nAnswer: 60*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 78*t + 390. Let u be l(-5). Let v(p) = 2 + p + 0 - 2*p. Let j be v(u). Solve -2*m = j*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/2 (b) -5 (c) -2\/13 (d) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8c - 18?\nAnswer: -a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 667799?\nAnswer: 11, 5519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 767040 is divided by 735?\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20660 + 32035. What are the prime factors of h?\nAnswer: 3, 5, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of -1819*t**7\/35 + 3046*t**3\/3 + 2*t**2 + 1079. Differentiate n(v) wrt v.\nAnswer: -43656*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 5 = t - 4*o, -25 = -t - 4*o. Find the common denominator of 15\/6*(-43)\/t and (-2)\/(-5) + (-17815)\/3850.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 123 and 172.659.\nAnswer: 21237.057","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 261*j = 5227 - 778 + 18927 - 2496 for j.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -332*s = 106*s - 2190. Which is the nearest to 0.2581? (a) 3 (b) -4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + 2 - (4 + -6)) + (-30 - -9) + 14.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 + 2*d + 4. Let p be t(-6). Let m be (-6)\/p*(0 + -2). What is the third smallest value in -0.4, m, -2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**3 - 33530*k**2 + 13785120*k - 1463598720.\nAnswer: 5*(k - 6274)*(k - 216)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 36*f*z**5 - 2*f*z**2 - 5*f*z + 131 wrt z?\nAnswer: 720*f*z**3 - 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -272 and 184.\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0167 - 1298033135.\nAnswer: -1298033134.9833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 8296837 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 4\/14 + (-4)\/(-14)*447?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*p, -i - 4*i + 14 = -4*p. Solve o = -2*o + i for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5\/(-20) - (-6)\/(-40). Let j = -18 + 56\/3. What is the nearest to o in -4, j, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 10468352 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 64 = 69. Suppose -3*i + 7 = c - n*i, -c + 3 = 2*i. Suppose 0 = 4*f + c*o - 71, -37 = -2*f + 3*o + 4. What is the highest common divisor of 76 and f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.913 times 0.046\nAnswer: -0.179998","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 10553651 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*v**5 + 31*v**4 - 45*v**3 - 5023*v?\nAnswer: -40*v**3 + 372*v**2 - 270*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 216863686558 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in fourty-four fifths of a kilometer?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-266)\/(-57)*6\/14?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 25098 - 25097.9819932. Let s = -0.074 - -0.056. Let p = s + i. Round p to 6 decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -3*z**2 - 70*z - 65. Let j be c(-21). Calculate the greatest common factor of j and 1312.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1154622 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 131, 14, -4, 5, 3, -1, 24 in decreasing order.\nAnswer: 131, 24, 14, 5, 3, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/12)\/(s**(-9)*s*s)*(s\/(s*s*s*s*s**17))\/s*s*s*s\/s**42*s)**(-35) assuming s is positive.\nAnswer: s**(21875\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of 0*s - 5*s**2 + 0 - s**3 - 1\/24*s**4. Determine d(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 139 or 6129\/44?\nAnswer: 139","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 19*g**2 + 18*g**2 + 3)*(8 - 8 + 138*g + 0).\nAnswer: -138*g**3 + 828*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.0884 - 176.5884. Let m = 176 + p. Which is the second smallest value? (a) 2\/37 (b) 5 (c) -2\/3 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1413257210?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 23 + 53 = 0. Let d be (3\/20)\/((5\/4)\/x). Which is the closest to -1? (a) -5 (b) d (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the third derivative of -o**6\/540 + o**5\/270 - o**2 - 23. Factor a(s).\nAnswer: -2*s**2*(s - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -43 - -48. Let y be (0 + 49)\/7 - k. Which is the nearest to y? (a) 1 (b) -1 (c) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of 0*j + 1\/2*j**3 - 1 - 2*j**2 + 1\/8*j**4 - 1\/60*j**5. Let s(i) be the second derivative of y(i). Calculate s(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 475421, 475485, 475549, 475613, 475677?\nAnswer: 475741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/3)\/8*(-108)\/192*-4\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -2*c - 17 - 2, 5*c = 4*w + 35. Suppose -13 = -r + 4*o, r + 2*o = o + c. Let j = -0.09 + -2.91. What is the second smallest value in r, j, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 8557.5 and 30.\nAnswer: 8587.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1 (b) 1\/9 (c) 1 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2264025 - 225?\nAnswer: -2264253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2617379, 5234773, 7852185, 10469615?\nAnswer: 13087063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-2\/3)\/l)**3\/(l**(-4)\/(l*l**2*l)))**15 assuming l is positive.\nAnswer: l**45","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3 + -2)\/((-2)\/(-4)). Find the second derivative of 5*l**b + 3*l - 2*l**2 - 2*l wrt l.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -2 + 4 - 4*z + 5*z. Let k(f) = 5*f + 11. Calculate 22*b(s) - 4*k(s).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 + 11. Let q(p) = 2*p**3 + 5*p**2 + 4*p + 1. Let n be q(-3). Let v be 6\/(-9) + n\/(-21). Which is the closest to k? (a) 0.4 (b) v (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 971181 is divided by 139.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 2*q. Let d(t) = -95*t**2 + t. Calculate l(d(a)).\nAnswer: -190*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2\/10 - 209*o\/2 - 1545.\nAnswer: -(o + 15)*(o + 1030)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 685 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -474*u + 466*u - u**3 + 32*u**3 wrt u?\nAnswer: 186*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 1768*j - 182. Let w(d) = -29*d + 3. What is 182*w(n) + 3*y(n)?\nAnswer: 26*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -119*h - 117 + 237 + 23*h - 120.\nAnswer: -96*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (-41310)\/9*(-291)\/12 + (-2)\/4 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -79 (base 16) to base 3.\nAnswer: -11111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the third derivative of 0 + 19\/60*n**6 + 0*n**4 + 24*n**2 + 0*n - 1\/15*n**5 + 0*n**3. What is the third derivative of q(p) wrt p?\nAnswer: 228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 107, 122, 125, 110, 71, 2, -103, -250?\nAnswer: -445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-2) + 2\/2. Suppose 5*j - 3*w + 34 + 7 = 0, -3*j + 5*w = 31. Let a be 0*(14\/(-4))\/j. Sort g, a, -4 in increasing order.\nAnswer: -4, a, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 5\/8 of a millennium?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3295*(-16)\/(-120)*-3. Does 14 divide (-2)\/5 - 56\/35 - d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 - k - 3. Let r(z) = z**2 - z - 3. Let a(d) = -3*r(d) + 4*s(d). Let f be a(2). Let c = f + 9. Calculate the highest common factor of 6 and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/(-5))\/((-3)\/15). Let o(f) = -2528459*f + 2. Let k be o(-3). Suppose t*q - k = 2414621. What is q rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*m - 30382 = 6978 + 59204. Which is smaller: 1240 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 36 - 37. Let n be (10 - 21)*(-2 + b). Let f be (-29)\/(-9) + (-2)\/9. Calculate the highest common factor of f and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13150227\/8445010 - -2\/120643. What is the common denominator of c and -187\/60?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 67 and 2144.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 4 + -5 - (43 - 25) - -52\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - -2. Let w(g) = -2 + f + 2 + 5*g + g**2. Let p(n) = -4*n - 5. Determine 3*p(z) + 2*w(z).\nAnswer: 2*z**2 - 2*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 39071, 156272, 351609, 625088, 976715, 1406496, 1914437, 2500544?\n\"Answer: j**3 + 39062*j**2 + 8*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**1)\/k)\/k)**(5\/4)*k*k*k**5*k\/(k\/k**6) assuming k is positive.\nAnswer: k**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -43, -87, -129, -169?\nAnswer: -207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -870*f - 30735 + 10725 = 0 for f.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, 54, 5, -87 in decreasing order.\nAnswer: 54, 5, 0, -5, -87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express l**4 - 74*l**3 + 78*l**3 + 3 - 942*l**2 - 6*l + 943*l**2 as n*l**2 + d + y*l**3 + i*l**4 + q*l and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and 6 - ((-5)\/3 - -2)*6.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of -p**4\/4 + 8*p**3\/3 + 5*p**2 - 11*p - 1. Calculate the remainder when w(8) is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0.96, -8.2, -1\/3, -1\/15, 0 in decreasing order.\nAnswer: 5, 0.96, 0, -1\/15, -1\/3, -8.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -296 + 306. Solve -5*q = -10*q - j for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 - 2*p**2 - 11*p + 2. Let w(b) = 9*b**3 - 142*b**2 - 343*b - 112. Let c(g) = -24*m(g) + 3*w(g). Factor c(j).\nAnswer: 3*(j - 128)*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 8 = -12. What is the tens digit of (-72)\/(-8)*x*2\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10748?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 303 is divided by 300?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 - 4*i - 15. Calculate x(-6).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 7. Suppose o - 37 = -s*d, -2*o + 0*d = 2*d - 54. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 3*x**2 - 6*x - 2. Suppose -3*v = -0*v - 5*w - 29, w = -4. Let p be u(v). Suppose 5*t - 8 = 3*y, 4 = -4*t - 2*y + p*y. Solve -t*d + 12 = -0*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.7 - 21.3. Let q = -31 - d. Let x = -1 + 0.9. What is the closest to 0.1 in 4, x, q?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -5*i - 53. Let c be r(-11). Suppose 0 = c*g + z - 39, 1 = 5*z - 4. What is the remainder when g is divided by 16?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5587*m**2*z**3 - 2*m**2*z**2 - 35299*m*z**2 + 6*z**6 wrt z?\nAnswer: 33522*m**2 + 720*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*x - 2*x**4 + 2 - 14*x**2 - 13*x**2 + 26*x**2 + 8*x - 3*x**3 to y*x**2 + k + m*x + g*x**3 + v*x**4 and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 98 + -7. List the prime factors of n.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3\/(-5) + 15\/25)\/2. Solve -m - 3 + 7 = j for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/5, -1\/33, -2, -6, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 763.2079l in millilitres?\nAnswer: 763207.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.079098 millennia in decades?\nAnswer: 7.9098","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (-2 + sqrt(833)*2 + sqrt(833) + -4 + (-1 + sqrt(833))*-4)*5)**2.\nAnswer: 840*sqrt(17) + 20969","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 239 divided by 14800.\nAnswer: 239\/14800","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*-57753889\nAnswer: -28876944.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence axxl when four letters picked without replacement from {b: 5, x: 2, l: 4, a: 1, z: 4}.\nAnswer: 1\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4465\/2912 + -3\/1456. Find the common denominator of s and 81\/184.\nAnswer: 736","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9 or -40?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l + 5*k - 845 = l, 3*k + 313 = 2*l. What are the prime factors of l?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 99155174?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*i**4*k + 108*i*k**3 - 24*i*k - 59*k**3 - 76 with respect to i.\nAnswer: 12*i**3*k + 108*k**3 - 24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 + 12*l**2 + 8*l - 12. Let a be 25 + (-2 - (3 - 8)) - 4. Calculate the remainder when 3453\/a + 8\/64 is divided by s(-11).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11084 - -11084.023572. What is q rounded to two decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-d**2 + d**2 - 2*d**3)*(0 + 0 - 4)*(1 - 3 + 0)*(3 - 6 + 25) to m*d + t*d**2 + i + j*d**3 and give j.\nAnswer: -352","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 508*r**2 + 107188*r + 150. Give s(-211).\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1622 bigger than 12\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Round 1199.992538 to 1 dp.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 345*v - 350*v + 5830 = 0. Does 6 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 16 + 4 = 0. Is 624\/4 + 2 + (-2 - o) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -2*d. Let k(f) = -26*f. Let z(h) = -9*h. Let y(a) = -2*k(a) + 7*z(a). Let n(g) = 11*g. Let t(q) = -5*n(q) - 6*y(q). What is o(t(l))?\nAnswer: -22*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o + 0*o + o + (-2 + 4 + 0)*(3*o - 3*o + 2*o) + 2*o + 0*o - 3*o + 4 - 4 + 2*o)*(0 - 2 + 1).\nAnswer: -6*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 + -119\/10. Let o = 3\/5 - m. What is the fourth smallest value in -5, -4, o, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of 0*t**2 + 0*t + 5\/3*t**3 + 5 + 0*t**4 - 1\/1440*t**6 + 1\/480*t**5. Let l(x) be the third derivative of u(x). Factor l(v).\nAnswer: -v*(v - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*k**2 + 10*k - 2*k**2 + 687*k**3 - 689*k**3 as n*k**3 + l*k + w*k**2 + b and give l.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 663?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q + 135 - 269 + 134 + 0*q.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-12 - (0 - 3)) + 2. Let f(s) = s**2 + 3*s - 9. Does 19 divide f(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -v - 8, -5*m - 27 = 5*v - 12. Let b(h) = -h**2 + 5. Let d(w) = -1. Determine m*b(s) + 6*d(s).\nAnswer: -s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*x = -10*x + 105. Solve x*u - 5*b = 5, 5*b - 18 - 17 = -5*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 334 = -38*k - 404 + 282 for k.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2376 and 244?\nAnswer: 144936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + 0. Let p be ((-8)\/(-2 - -4)*-1)\/(-5). Let d = 54 + -379\/7. Put h, d, p in ascending order.\nAnswer: p, d, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 6*k - 75 = -3*v, 15 = k - 5*v. Let y = k + -61\/4. Put 4, 1\/5, y in increasing order.\nAnswer: y, 1\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53865614347 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*m + 95 - 28 = -6*m - 5*i, -3*m = 4*i + 5 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**2 + 4*a - 4. Let x(k) = k**2 + k + 1. Let y be x(-2). Give f(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -103 - -103. Are -9 and m unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((-2 + sqrt(125))**2 - sqrt(125) - (3 + sqrt(5) + -1)).\nAnswer: -104*sqrt(5) + 508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 564383241?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2084703 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -8276*w + 24925. Calculate k(3).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0481634492 rounded to 4 decimal places?\nAnswer: 0.0482","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12673 - -12672. What is the second smallest value in 16, -5, -0.15, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 10*w - 58. Determine d(-21).\nAnswer: -268","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6443*w - 12846.\nAnswer: -6443","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (58129 - 481*l - 58129)*(49 + l - 49 + (-6 + 4 + 1)*(-4*l + l + 5*l))*(4 + 3*l - 4) to the form h*l**3 + f*l**2 + g*l + w and give h.\nAnswer: 1443","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 1073 = -3*f - 57, w = 2. Let i = 944 + f. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 + 7*f**2 + 5*f + 3. Let l be j(-6). Let n be ((-3)\/l - 1)*3. Let y = -21 - -16. Sort y, 5, n in decreasing order.\nAnswer: 5, n, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 587805, 1175609, 1763413?\nAnswer: 2351217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x**3 + 3255*x**2 - 13008*x + 13004 = 0. What is x?\nAnswer: 2, 3251","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -8*d - 1. Calculate the remainder when l(-1) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -155 - -157. Factor -v**4 + 0 + 3\/2*v**3 - 1\/2*v + 0*v**w.\nAnswer: -v*(v - 1)**2*(2*v + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 198 divided by 6\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 25 and 185.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 - 73*i**2 - 458*i + 373. Determine n(-66).\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -598 - -597. Which is the nearest to 0? (a) 2\/7 (b) g (c) 3 (d) 37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 3856?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-28)\/(-196) + (-82)\/(-14). Find the third derivative of -39*i**6 + 12*i**2 + 38*i**n - 16*i**6 wrt i.\nAnswer: -2040*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 3 - (-1 - -1 - (-35 + 26))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-36)*4\/3)\/(-2)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11539945 by 2307989.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 974191263 to the nearest integer?\nAnswer: 31212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 122.6 - -846.4. Let a = s - 965.048. Round a to one dp.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*l = -111 - 45. Solve -5*p - 16 = -l*u, 3*u - 19 = -p - 4*u for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34\/51*((-3338)\/(-2) + 2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1709685 divided by 569895.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -943 - -945. What is the smallest common multiple of i and 1370?\nAnswer: 1370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five fourteenths of a week in minutes?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 7 = -3. Suppose -n*u + 3*u + 1502 = 0. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2174?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 PM and 4:38 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*k + 12*k - 15 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22529172 is divided by 1238.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 3 = 4*o + 1, 2*o - 3 = -3*t. Let l(u) = u**3 + u**2 + u. Let z be l(o). Let h = z + 20. Is h a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41\/2 of a litre in millilitres?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11 and 22726.\nAnswer: 22726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15.75 - -0.65. Let f = q - 16.40022. Round f to 4 dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23917001*d**2 - 47834001*d**2 + 23917001*d**2.\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -53*h - 730. Give b(-14).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -320, -252, -146, -8, 156, 340?\n\"Answer: -a**3 + 25*a**2 - 344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 690.\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1124366 (base 7) to base 15\nAnswer: 2bad5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 5*k**3 + 92*k**2 + 6*k - 104. Calculate d(-16).\nAnswer: 2872","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of -43*k**4\/4 + 4*k**3\/3 + k**2 + 47*k + 330. What is the second derivative of t(x) wrt x?\nAnswer: -258*x + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 + 4*a**2 + a - 4. Let f be 2\/3*(14 - 6\/3). Suppose 3*r = -f*r - 33. Calculate q(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 12874298.22ns?\nAnswer: 0.00000002128686875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -3*b**3 - 2*b**2 - 4*b. Suppose -2*o = -j, 4*o = 2*j - o - 1. Let q be l(j). Solve -s**2 - 5*s + 15*s**4 + 4*s**2 - s + q*s**3 = 0 for s.\nAnswer: -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 34009 (b) 0.2 (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144*i + 6711 = -2124 - 957 for i.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*h**4 + 0*h**4 + 3*h**4 - h**4 - h**2 - 4 as q*h**2 + t*h + m + d*h**3 + b*h**4 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 4 = 2*z. Suppose z = 8*i + 5 - 205. Suppose -24*k = -i*k + 124. Does 10 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21497587?\nAnswer: 21497587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:44 AM and 6:53 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(-6) - (-16)\/6. Let k(u) = 4*u + 2*u + c*u. Let t(g) = 91 + 2*g**2 - 91. Give t(k(l)).\nAnswer: 128*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4568600461 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -75 - -147. Is 18 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0059199458 rounded to four decimal places?\nAnswer: 0.0059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1477875 by -15.\nAnswer: -98525","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*r**3*s - 9*r**3*u**2 + 7*r**2*s**2*u**2 - 2*r**2*s**2*u + 2*r**2*u - 5*s**2 - 2*s*u**2 wrt u.\nAnswer: -18*r**3 + 14*r**2*s**2 - 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 2*x + x + 15 = 0, 3*d - x = 12. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (8\/(-2))\/((-39)\/702). Suppose -4*x = 4*o - 624, x - i = o - 230. Does 18 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:37 PM and 2:33 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 - 5*s**2 + 4. Let d be y(5). Suppose 0 = 5*l - 113 - 2. Let z = 33 - l. Solve z = -d*q + 2*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-580)\/3625)\/((-4)\/10))\/(8\/20*8).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(-2 - 3\/(-2)). Suppose -5 - 5 = -b*a. Suppose -p + a*y + 47 = p, 5*p - 50 = -y. What are the prime factors of p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23322 (base 4) in base 10?\nAnswer: 762","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 26870802?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*((t*t**(-5))\/t*t)\/t*t*t*t*(t\/t**(1\/3))\/t*t**(1\/4)*t*t*t*t**(-3))**(-22) assuming t is positive.\nAnswer: t**(143\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-333)\/(-135) - (-264)\/(-99).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-21)\/2)\/7*6*3\/(-9).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(2\/3))**(-3\/17))**44\/(c\/((c**2*c)\/c*c)*(c*c**(-6))\/c)**(-36) assuming c is positive.\nAnswer: c**(-5116\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -2*f - 1. Let q(g) = -21*g - 65. Let c(j) = 2*q(j) - 18*w(j). Let l be c(-19). Solve -2*b - l*b + 12 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -149201 + 149005 = -14*o for o.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ne when two letters picked without replacement from {n: 1, e: 1, p: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 568664?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 12a (base 12) to base 3\nAnswer: 20121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zttt. What is prob of sequence ttz?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -8*l**2 - 16*l - 2. Let i(a) = a - 1. Let p(x) = 3*i(x) - r(x). Let m be p(-3). Solve -11 = -5*n + m for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 4 + 6. Suppose -x = -c + 2*g + 17, g = -c + 10. Suppose 30*a + p = 34*a - 151, 0 = a + 5*p - 22. Calculate the remainder when a is divided by c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4500 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (330\/990)\/(3\/2*(-2)\/(-9)). Let v = 5.8 - 6. Sort -0.029, s, v in descending order.\nAnswer: s, -0.029, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 3 = 5*o, -4*o - 2 = -3*s + 6*s. Let b be o*4*(-17 - -18). Find k such that 5*k**4 - k**2 - 3*k**2 + 3*k**2 - b*k**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63864 is divided by 53.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 332173 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 57733*b**2 - 1085967*b wrt b.\nAnswer: 115466","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 310 and 3658?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - -3. Suppose 3*o + 2 - 5 = 0. Solve c - f = v - 2, 5*v + 3*c - o = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 7*z**2 - 455*z + 12. What is l(65)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(2\/23)*p*p*p**(-6)*p assuming p is positive.\nAnswer: p**(-67\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2\/5)\/o)**(1\/30))**(-39)\/(((o*o*o**0*o)\/o)**(25\/3)\/(o**(-4)*o**1)) assuming o is positive.\nAnswer: o**(-2677\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/24517 and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4220\/21 + -101216\/525. Which is smaller: a or 9?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 43406612 and 137126?\nAnswer: 477472732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g - 3 + 3)*(0 + 5 - 2) + (-1 + 0 + 2)*(2 - 2 - g).\nAnswer: 5*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 180027700 rounded to the nearest 1000000?\nAnswer: 180000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 118 + 82 + -182 + 1 + 26\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, -1\/19, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 166606 by -1708.\nAnswer: -83303\/854","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.17 + 0.1705. Round a to 3 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/((m**(1\/16)\/m)\/m*m*m)*m)\/(m*(m*m**(3\/5)*m)\/m))\/(m**(6\/7)\/m**(-9)) assuming m is positive.\nAnswer: m**(-5331\/560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/18*-4*(9504\/(-1276))\/(-72)?\nAnswer: 2\/87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/1)\/(1035\/828)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/21480 and 3\/83156.\nAnswer: 446547720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 63685080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17 - 17. Let r(q) = -q + g*q + 0*q - q. Let d(t) = 2*t. Calculate d(r(s)).\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -429536\/3678381 - 4\/21511. Let u = x - 2\/19. Let m = 2.5 + -2. Which is the third smallest value? (a) 5 (b) m (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 33 (b) 1.7 (c) 0.4 (d) 2\/3 (e) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 4*m + 2*m = 3, 5*y = m - 2. Let k = 402 + -398. Sort -54, y, k.\nAnswer: -54, y, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 3*f + f + 320, 0 = -3*m - 4*f + 247. What is the remainder when m is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -6*l**2 + 1 - 8*l**3 + 6*l**2 - 8*l**3. What is the remainder when w(-1) is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 752 and 128.\nAnswer: 6016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 37919008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 237*a**3 - 10*a**2 - 22*a - 14. Determine k(-1).\nAnswer: -239","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0033354401 to 4 dps.\nAnswer: 0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, b: 10}. Give prob of picking 2 b.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 - 13*n**2 - 73*n + 79. Let h be v(17). Let b(a) = a**3 + 5*a**2 - 6*a + 1. What is b(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, a: 3}. What is prob of sequence aam?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by -2219.\nAnswer: -8\/2219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u**4 + u**4 - 5*u**4)*(-u + 2 - 2) + u**5 + u**3 - u**3 + (17*u**4 - 12*u**4 + 15*u**4)*(u + 1 - 1).\nAnswer: 22*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -6, 1, 52, 64, 4 in descending order.\nAnswer: 64, 52, 4, 1, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = p - 8. Suppose k + 5*n = -10, 2*k - n - 9 = 4. Suppose c = -2*i + 4*c + 31, 95 = 4*i + k*c. Solve 0*f - i = -p*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 507574?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4371234 by 3661.\nAnswer: 1194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 - 11 = -3*m. Suppose -3*r + 69 = 3*q, -2*q - 3*r + 5*r = -30. Suppose -495 = q*v - 1464. Calculate the smallest common multiple of v and m.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 5*h + 2, -r + 4*r + 2*h - 2 = 0. Let z(t) = t**r + 5 + 1122*t + 0 - 1124*t. Let o be z(2). Which is bigger: -2 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ljjxqjajlxxjll. Give prob of sequence xql.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 divided by 11?\nAnswer: 48\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + -2. Let c(r) = -r**2 + 8*r - 17. Let j be c(s). Sort -4, 0, -5, j.\nAnswer: -5, -4, j, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/4*280\/(-35)*1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -3246*w + 9. Let l(h) = h**2. Calculate l(y(q)).\nAnswer: 10536516*q**2 - 58428*q + 81","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Is -65 bigger than 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -2*c**2 - 56*c + 1274. What is i(-43)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.05 in -5, -8, -3, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -19.9, 2\/19, -3, 0.4, -2, -0.07, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 12\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 15 or 94?\nAnswer: 94","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g + 8. Let w be s(0). Let u be (-1)\/(-5) - 3\/15. Suppose i - w = -u*i. Solve 6 = -4*d + k - 0*k, -4*k = i for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1312, -1331, -1352, -1369, -1376, -1367, -1336, -1277?\nAnswer: -1184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.2 (b) -1 (c) 0 (d) -5 (e) 1 (f) -14\/4027\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 + 2 + 0*y**2 + y**2 + 5*y. Let u be (72\/60)\/(4\/(-10)). What is the units digit of i(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 28 + -28.4. Which is the biggest value? (a) 2\/7 (b) l (c) 0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*(c*c**(-2\/3)*c*c*c)\/c)\/c)**(1\/13)*(c**(-4))**(-1\/57) assuming c is positive.\nAnswer: c**(185\/741)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2000 and 2800.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 312 + 19*r**2 - 312 + (2 - 1 + 1)*(2*r - r**2 - 2*r).\nAnswer: 17*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*b**2 - 32076*b - 32074*b - 32083*b - 32076*b + 160385*b - 32077*b.\nAnswer: 34*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.0072 kilograms?\nAnswer: 0.0000072","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 AM and 8:14 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 456184021 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2131 - 10?\nAnswer: -2201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 15.5 (b) 4\/7 (c) -0.7 (d) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42242.\nAnswer: 2, 21121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 73.10451 micrometers to millimeters.\nAnswer: 0.07310451","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -854 rounded to the nearest one hundred?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*i**3*l - 4*i**3*r - i*l*r - 4*i*r - 31*l*r - 6*r with respect to l.\nAnswer: 2*i**3 - i*r - 31*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = z + 20, -2*q + 13 = -3*z for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhsohhhtohoh. Give prob of picking 2 o, 1 h, and 1 s.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 2.7, -14\/3, 13\/28 in descending order.\nAnswer: 2.7, 13\/28, -14\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 - (-23 - -35) - (-252 + 0) and 630?\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 476213.\nAnswer: 461, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6892337 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 6, -2, -3, 11.\nAnswer: -3, -2, -1, 6, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.8177 in -1\/5, -4, -24?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 5088?\nAnswer: 15264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9128 and 172780.\nAnswer: 652","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**2 + 2864*s - 455452. What is o(169)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 26013495367 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 596608?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3*(1 + (-1)\/(-3)). Let i(j) = 4*j**2 + j - 14. Is 6 a factor of i(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6012240 to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -5, -0.1, 142, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2669 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1.4 (b) -216 (c) -100\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 25081*l**2 + 1835*l - 1?\nAnswer: 50162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of -9*y**3 + 10. Let j(h) = 3*h**2. Give j(c(t)).\nAnswer: 2187*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 2:01 PM?\nAnswer: 9:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 60\/311? (a) -3 (b) 6\/5 (c) -3\/2 (d) -7\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20 + -19. Which is the nearest to g? (a) -2\/5 (b) 1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -758721*f + 3793604. Determine h(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 5*v - 2*v. Suppose 14 = 2*y + v. Suppose -4*x + 5*m + 0*m = -32, 5*x + 5*m + y = 0. Which is the smallest value? (a) -2 (b) -1 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -9 + 0*o - 8*o + 0*o**3 + 34956*o**2 - 34950*o**2 + o**3. What is j(-7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -66, -97, -154, -243, -370, -541, -762?\nAnswer: -1039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l + 6. Let j be p(4). Suppose -194 = j*w + 28. Let a = -78 - w. Calculate the remainder when a is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2212, -2, -5, 2.\nAnswer: -2212, -5, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 206, 136 in ascending order.\nAnswer: -13, 136, 206","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 294880?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*-18*(-1)\/4. What is the second derivative of -3*a**5 - q - a + 9 wrt a?\nAnswer: -60*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in three eighths of a milligram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1168.7 + -869. Let u = y + -300. Let j = -127\/420 + 1\/60. Which is the nearest to u? (a) 1\/5 (b) j (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 76*t**3 + 72*t**2 wrt t.\nAnswer: 456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 + 39*p**2 - 134*p - 379. What is m(35)?\nAnswer: -169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 + 26*d**2 - 5*d - 81. List the prime factors of a(-26).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 173.84 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9059, -9058, -9057, -9056, -9055?\nAnswer: -9054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 PM and 8:48 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1929 is divided by 40.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (44\/(-20) - 7).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 10707217?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -147.000194 - -147. What is t rounded to 5 decimal places?\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 113 divide 24927758?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 73613 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**2 - 4*w - 6. Give o(-6).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 7*k**2 - 1. Let h(q) = -54*q**2 - 28*q + 6. Give -h(j) - 8*m(j).\nAnswer: -2*j**2 + 28*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 542 + 40. Calculate the smallest common multiple of 10 and z.\nAnswer: 2910","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(175) + (-1 + sqrt(175))**2 + -4.\nAnswer: -5*sqrt(7) + 172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8281748.\nAnswer: 2, 23, 90019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 63 + -55. Let y be z\/(-40) - (-33)\/15. Find the second derivative of -60*q**2 - 10*q + 19*q**2 + 7*q**y + 16*q**2 wrt q.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 8*f**2 - 5*f + 4. List the prime factors of b(2).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 55177489, 55177492, 55177495, 55177498, 55177501?\nAnswer: 55177504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 1\/2, 2, 4, 2\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 48*k - 4. Let a(b) = 24*b - 2. Determine 5*a(r) - 3*p(r).\nAnswer: -24*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*j + 12 = -14. Let b(q) = -67*q + 9. Is b(j) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 610449\/19143*36\/246.\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 6, s: 6}. What is prob of picking 3 h and 1 s?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of v**5\/20 - v**4\/3 + v**3\/6 + 3*v**2\/2 + 14*v - 1. Let z be q(3). Which is the closest to 0? (a) -4 (b) z (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9\/62 - 1019\/186. Let n = -18678\/7 + 2668. Which is the second smallest value? (a) f (b) 5 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 - 8*d - 1. Let z be s(8). Let c = z - -4. Let m = -169458 - -169472. Solve f - 8 = 2*v - 0*f, 4*v + m = c*f for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -162 by 2.\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -33253054 + 0?\nAnswer: -33253054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnhnnhnhnvhnnnhnhn. What is prob of picking 2 n?\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 7*v - 256. What is w(39)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 3*l**3 - 4*l**2 + 3*l. Let s(p) = p**3 - 2*p**2 - 6*p - 6. Let u be s(4). Calculate w(u).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + 2\/(-8) + 1530\/40. Which is smaller: n or 42?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -4*g**2 - 7*g + 2. Determine v(-4).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -629 + 631. Let p(m) = 5 + 2 + 7*m + m**2 - 5 + b. Let g be (-38)\/5 - 6\/15. What is p(g)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 11) + 13 - 6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6308 or 6299?\nAnswer: 6299","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*x - 4099 + 3959 for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 103527424?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the second derivative of -2*v**6\/5 - 7*v**5\/4 - 727*v**2\/2 - 8*v + 141. Find the first derivative of w(l) wrt l.\nAnswer: -48*l**3 - 105*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*g - 997 = -1033. Let b = 0 + 0. Suppose b = -2*l + l + 1. Calculate the greatest common factor of g and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = 3*b - 41, -b = 6355*n - 6353*n - 9 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.3 (b) 3 (c) 0.2 (d) -0.5 (e) 32\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2b9 (base 16) to base 2.\nAnswer: -1010111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -17.72 from 1.\nAnswer: 18.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 445989336.\nAnswer: 2, 3, 13, 101, 14153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 1158 divide 54768768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28, -117, -266, -475, -744, -1073?\nAnswer: -1462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 12 = -3*g, -2*w + 4*g = 10 + 10. Let k(o) = -27 + o - 4 - 8*o + 2*o. Let t be k(w). Which is smaller: 1\/67 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/12 + 11\/(-3). Let c = 6 + g. Let v(y) = 1 - 2 + 4*y**2 - 5*y**2 - 9*y**c. Determine v(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3141173617 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -8993103 divided by 310107?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 373 divide 1434558?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1020220 (base 3) to base 11\nAnswer: -762","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 10500, 10545, 10636, 10797, 11052, 11425, 11940?\n\"Answer: 4*o**3 - o**2 + 20*o + 10477","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/8 and 63\/44.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33343 is divided by 1663.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12 + 7. Let g = -0.5 - -0.3. Let y = 0.4 + g. Sort 1\/6, y, d in ascending order.\nAnswer: d, 1\/6, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the third derivative of p**6\/120 + p**5\/15 + p**4\/8 + p**3\/2 + p**2. Let m be q(-3). Let t be m - 18*9\/48. Which is bigger: 1 or t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 n when three letters picked without replacement from {w: 2, n: 2, z: 1, c: 2, d: 4, y: 3}.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*b + 2. Let t be (-4)\/4 - b - -2. Suppose -5*x + 4*g = 10, -3*x - 5*g + t = -29. Calculate the lowest common multiple of 12 and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*r + 66 + 78. What is the remainder when 32 is divided by r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 7*w = 110. Suppose -w = -5*u + 5*z + 185, 0 = -4*u + z + 233. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 4, 1\/2, 0.7?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/12 - 178\/6*-1. Let d = -124 - -134. What is the remainder when d is divided by ((-2)\/3)\/(26\/s + -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2*u**3 - 39*u**2 + 21*u + 30. Let c be h(-20). Let v(g) = -3*g + 6. Determine v(c).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/27 - 3\/135. Which is the closest to 5? (a) 5 (b) 1\/3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = n - 1, -45 = 5*n - 4*s - s. Let w be (7\/1)\/((-2)\/n). Let q = 99 - w. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 4*b + 214. Calculate h(-52).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12971 and 952?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 14 = 1. Suppose r = 20 + u. Suppose v - r = -3*p, -2*p - 3*v + 2 = -3. What is the least common multiple of 9 and p?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 82.807 to 0 decimal places.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 35 - 886?\nAnswer: -851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((-2 + sqrt(448) + 5 + -1)**2 - ((sqrt(448)*-2 + 5)*6)**2).\nAnswer: -389760 + 34752*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -859433?\nAnswer: -859433","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (18 - 12)\/(1\/3). Let a = -15 + r. Let k(g) = -2*g + 2. Let s(b) be the second derivative of b**3\/3 - 3*b**2\/2 + 180*b. What is a*k(q) + 2*s(q)?\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z**5 - 3418*z**4 - 25792*z**3 - 58586*z**2 - 25896*z + 31032 = 0 for z.\nAnswer: -3, -2, 1\/2, 862","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 78 - 78. Suppose f = 2*j - 0*j - 2*d - 552, 5*j - 1368 = -d. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*j + 878 = 902. Let y = -2 + 18. Let v = y - 32. Sort v, 2, j in decreasing order.\nAnswer: 2, j, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 - 7*a**2 - 21*a + 155. What is r(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.7? (a) -4 (b) -3 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mu when two letters picked without replacement from {z: 2, m: 1, q: 2, o: 6, u: 3}?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-21)\/15*84\/980*-5)\/((-18)\/(-20))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the third derivative of q**6\/120 - q**5\/6 - q**4\/12 + 5*q**3\/6 - 19*q**2. What is r(10)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -227.2 + -2?\nAnswer: -229.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 - u**2 + 4*u + 2. Let f(h) = 3*h**3 + h - 1. Let r be f(1). Suppose 4*s + 22 = -r*p, -s - 2*p = s + 12. Is k(s) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*z**3 - 11*z**4 + 12*z**4 - 52*z + 2*z**2 - 5*z**5 - 2*z**3 + 20*z wrt z?\nAnswer: -300*z**2 + 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.135942295927 + -5\nAnswer: -4.864057704073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do 847 and 417 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of -g**8\/420 - g**5\/120 + g**3\/3 + 13*g**2. Let w(p) be the first derivative of a(p). Find the second derivative of w(x) wrt x.\nAnswer: -48*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87 - 393 = -4*t. Suppose 31*v + t = 46*v. Calculate the least common multiple of v and 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -308, -375, -442, -509, -576?\nAnswer: -643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 7*y + 16 = 0. Solve 3*f + f - y = -5*a, 12 = -4*f for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 44431612, 88863225, 133294838?\nAnswer: 177726451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10\/5*(18\/(-4))\/3. Put 2, k, -5 in descending order.\nAnswer: 2, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-94)\/3*3\/(-1) is divided by ((-70)\/21)\/(-10)*72.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.17291 minus -1?\nAnswer: -2.17291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 407156622 + -1844.\nAnswer: 407154778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o**4 - 417*o**3 + 17064*o**2 - 167028*o - 184512 = 0. What is o?\nAnswer: -1, 16, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, w: 6, m: 4}. What is prob of picking 1 a and 1 m?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -1778\nAnswer: 355.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -3*v + 7. Suppose -5 = -7*k - 47. Let a(p) be the third derivative of p**4\/6 - 4*p**3\/3 + 76*p**2 - p. Let g = 6 + -11. Determine g*a(s) + k*n(s).\nAnswer: -2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -575.2 + 576.3. Let w = -16.9 + 19. Let v = w - g. What is the nearest to -0.2 in -0.03, 0.5, v?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 429346 - e?\nAnswer: 429337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 38*l**2 + 2*l - 1. Suppose 7 = 5*x - 4*w - 65, 0 = -5*x + 3*w + 69. Find the common denominator of b(1) and 83*2*3\/x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 55234493 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 504 and 2677728?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -163328*p**3*w**2 - 2*p**3 + 7134*p**2 + 3*p - 4*w**3 - 1 wrt w.\nAnswer: -326656*p**3*w - 12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -177\/5 > 7\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 289 - 0.136\nAnswer: 288.864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, j: 2, m: 3, d: 3, e: 1}. What is prob of picking 1 l and 2 d?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.59 - -0.59. Let f = -10\/9 - -29\/18. Let x = 2 + -2.4. What is the smallest value in x, w, f?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 4*n - 69 = 0, -5*o - 225*n - 177 = -234*n for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4472*h**2 - 15673*h - 253866317?\nAnswer: -8944*h - 15673","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 PM and 10:22 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 288 + 716. Is 26 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 1458?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*((2 - -5) + -4). Solve -2*i = h - 4, -h + 6 + 0 = o*i for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-14) + (184\/(-3))\/((-16016)\/8580)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 4 = -h. Let o(f) = -11*f + 2. Let s(b) = -19*b + 98. Let i(z) = -11*z + 56. Let g(l) = 7*i(l) - 4*s(l). Calculate h*g(a) - o(a).\nAnswer: 9*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35\/(-2)*((-6)\/(-5))\/(-2*49\/280).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1551 and 9405.\nAnswer: 442035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/13 + 110400*u\/13 + 13165922\/13.\nAnswer: -2*(u - 55319)*(u + 119)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -820 + 826. Solve 9*a = 6*a + f for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(405))**2 + -3*sqrt(5)*-2 + (-1*sqrt(1960))\/(5*(sqrt(8)*-1 + sqrt(8) + sqrt(8)) - sqrt(8)).\nAnswer: 17*sqrt(5)\/4 + 405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -5, -16, 0.231, 0.3?\nAnswer: 0.231","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 88*a - 165*a + 344*a to p + s*a and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 3 (b) 0.2 (c) 0.1 (d) 0.34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u + 83. Let v(y) be the first derivative of -y**4\/4 + y**2\/2 + 1. Let o be v(-1). Is z(o) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -220 - -13010130223?\nAnswer: 13010130003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2477 + 2512. Solve 31*i - p = 24*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 6103, 60 in decreasing order.\nAnswer: 6103, 60, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 AM and 12:44 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 12*f - 20. Let n be r(0). Let s be n\/(56\/14*2\/44). Round s to the nearest 10.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 26397 and -6 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1299 = 56*a + 219 + 16. Solve -y - j = -26 + a, -15 = -y - 3*j for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c**2 - 3*c**2 + 3*c**2)*(2*c**3 + 0*c**3 + 0*c**3) + (3*c**2 - 3*c**2 - c**4)*(3*c + 4 - 4).\nAnswer: -11*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 (base 14) in base 15?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1007748?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o + 0*o + 0*o. Let a(b) be the third derivative of b**7\/2520 + b**5\/30 + 2*b**2. Let h(l) be the third derivative of a(l). Give c(h(k)).\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 2*m - 6. Let l(n) = 6 - 9 + 4 + 0. Suppose -16 = -4*o + 4*r - 2*r, 3*r = -3*o + 21. Calculate o*l(j) + u(j).\nAnswer: 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -137*i = -3*q - 142*i - 44, -114 = 7*q - 8*i + 14*i for q.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3183968 is divided by 1963?\nAnswer: 1945","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3 + 32*o**2 + 102*o + 72.\nAnswer: 2*(o + 1)*(o + 3)*(o + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, c: 3, e: 1}. Give prob of picking 1 e and 1 c.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -4*(-3*sqrt(102) + sqrt(102) - sqrt(102))\/sqrt(6) + 0 + 1*sqrt(612) + 4.\nAnswer: 5 + 18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - 4 - -11 - -10?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4180, -4236, -4302, -4378, -4464, -4560, -4666?\nAnswer: -4782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12, -16, -18, -18, -16, -12, -6?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of z**7\/168 - z**5\/40 + z**3\/24 + 6*z. Factor f(p).\nAnswer: p*(p - 1)**2*(p + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13997*i - 2 - 1 + 3 - 12040*i to the form f*i + w and give f.\nAnswer: 1957","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 275143 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 29 divided by 9\nAnswer: 29\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -65531 + -135?\nAnswer: -65666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2028, -7805, -17344, -30645?\nAnswer: -47708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28 + 44 - 9)*(0*m**4 + 2*m**4 + 21*m**2 - 3*m**2).\nAnswer: 126*m**4 + 1134*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q - 24. Determine m(13).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uufubububuubb. Give prob of sequence bfu.\nAnswer: 35\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -146*t + 75 = -121*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 3736.\nAnswer: 3736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of -1909*f**8\/56 - 1418*f**4\/3 + 13250*f**2. What is the second derivative of m(y) wrt y?\nAnswer: -229080*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4168, 4164, 4160?\nAnswer: 4156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -b**2*d**3*o + 36*b**2*d*o**3 - 68*b**2*d*o**2 + 99549*b*d**3*o**3 - d**2*o**2 + d*o**3 wrt d.\nAnswer: -6*b**2*o + 597294*b*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 754 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: What is the tens digit of 1851?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/8)\/(11 + (-188)\/16)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -440 and 3?\nAnswer: -1320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1871993?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1242 is divided by 83?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 5296361?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 15*z**3 - 24*z**2 + 24*z + 24. Suppose 0*u + 4*u - 96 = 0. Let l(b) = 3*b**3 - 5*b**2 + 5*b + 5. Calculate u*l(r) - 5*c(r).\nAnswer: -3*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of -1\/21*s**3 + s + 0 - 1\/70*s**5 + 0*s**2 + 1\/21*s**4. Factor i(b).\nAnswer: -2*b*(b - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 157792.2s in minutes?\nAnswer: 2629.87","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/9 < -419?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**2\/3 - 440*x\/3 - 455.\nAnswer: 5*(x - 91)*(x + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 107*b + 72. Is t(4) a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 755575 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-15)\/(-2))\/((-7)\/(-70)). Let g = p - 53. Calculate the remainder when g is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 4\/3 + 3*b + 2*b**2 + 1\/3*b**3 = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/9 of a day in minutes?\nAnswer: 2080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -47*b**2 + 5168*b + 62802. Calculate x(121).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 9 = 5*g - 2*p, 0 = 5*g - 3*p + 24. Let y = 7 + g. Solve -c - y = -3 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g**2 - 7*g**2 + 11*g**2 + 2*g**2.\nAnswer: 5*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.064 take away -28124339?\nAnswer: 28124338.936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11.86 + 12. Let y be (1\/(-3))\/(18\/(-216)). Let n be (1\/2)\/(5\/y). What is the closest to 3 in n, k, -2\/7?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1061 - 83 = -46*w + 146*w - 822 for w.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-five halves of a hour?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -36 + (-51 - -120).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -25 (b) -0.3 (c) 0 (d) 19.65\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.5173 + -41.9153. Let l = -0.402 + z. What is l rounded to the nearest integer?\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 times 2219\nAnswer: -6657","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -216266, -217066, -217866, -218666?\nAnswer: -219466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of -3*y**2 - 3*y + 34. Let s(i) = -7*i - 4. Let g(q) = 3*f(q) - 2*s(q). What is g(-3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*r**2 + 28 - 28)*(0 + 0 - r) - 14*r**3 + 42*r**3 + 3*r**3.\nAnswer: 37*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b - 4. Let x be a(-11). Let i(c) = -5*c**2 - 36*c. Let k be i(-7). Is x < k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -15, -3*n - 2*m + 60913 = -65745. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 2*a - 21 = 0, 3*n + 4*a + a = 42 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*b + 5*b - 650*b**2 + 4*b + 5*b to g*b**2 + c + n*b and give g.\nAnswer: -650","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 4*h + 0*h = 4, -4*q + 31 = 5*h. Suppose q*r + 4 = 56. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*o + 23692 = 23512 for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 352\/120*40\/(-1480) + 6\/45.\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 180 a factor of 55886593?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Is 32863 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -5*t + 7. Let w(g) be the first derivative of 6*g**2 + 5*g**4 + 8*g**t + 6\/5*g**5 - 1 + 2*g. Solve w(f) = 0 for f.\nAnswer: -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 12 = -3*l, -3*l + i + 3*i + 30 = 0. Let r(v) = 10 - 4 - 2*v - l. Let s(b) = -b. Determine r(s(k)).\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 73, 197, 397, 667, 1001, 1393, 1837, 2327?\n\"Answer: -u**3 + 44*u**2 - u + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -26*t**2 + 1055*t - 4644. Determine d(5).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94*m**2 + 95*m**2 + 18304 - 193*m**2.\nAnswer: -4*m**2 + 18304","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -18705*k**3\/2 + 502683*k**2\/2 + 31770*k - 486 = 0. Calculate k.\nAnswer: -6\/43, 2\/145, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/1 - 1*(-6 - -4). Calculate the remainder when 7 is divided by (g\/3)\/(-1*2\/15).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2*q**3 - 9*q**2 - 7*q - 45. Let n be t(6). Calculate the greatest common divisor of n and 27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -25, -131, -313, -577, -929, -1375, -1921, -2573?\n\"Answer: -v**3 - 32*v**2 - 3*v + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/17, 10\/3, -1, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*m - 918 = -810 for m.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2 - 172*c - 1106.\nAnswer: -2*(c + 7)*(c + 79)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -2. Let q be (x*(-3)\/(-6))\/(1\/(-10)). Let s(v) = v. Let p be s(q). Solve -p*r - 29 - 4 = -4*c, 0 = 5*r - 2*c + 29 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -169*m**5 + 3*m**2 + 16*m.\nAnswer: -10140*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 108025248?\nAnswer: 2, 3, 211, 5333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((((-912)\/1020)\/(-19))\/((-6)\/(-15)))\/(12\/24)?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18455?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 303*r + 480. Determine d(-6).\nAnswer: -1338","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence roor when four letters picked without replacement from hhhobbrrhbooorb?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8768 and 32.\nAnswer: 8768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**2 - 2*j + 35. Let q be r(3). Let l be ((-45)\/75)\/((-3)\/q). Solve -l*u = -3*u - 2 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79*s**3 + 95*s**3 - 204*s**3 + 69*s**3 - 65*s**3 + 70*s**3.\nAnswer: 44*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange i**4 - 5*i**3 + 6*i**3 - 37*i**2 + 40*i**2 to the form b*i**2 + k*i + s*i**4 + l + u*i**3 and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q + 15. Give l(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*i**2 - 9*i**2 + 3378*i**3 - 3372*i**3.\nAnswer: 6*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5292157477 to the nearest integer?\nAnswer: 1743","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - -1.1. Let r be (-12)\/(-42) + 34\/(-21). Which is the second smallest value? (a) r (b) z (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (39\/(-52))\/(22\/440).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(76) - ((sqrt(171) + 2 - sqrt(19)) + sqrt(19)))*-3 - -5*(5 + sqrt(19) + -1 - (sqrt(1900) - (sqrt(1900) + -1))**2)*2.\nAnswer: 36 + 49*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*u**3 + u**3 - 6*u**3)*(-2*u + 10*u - 11*u) + 65 - 18*u**4 - 65 to f + b*u**3 + a*u + y*u**4 + c*u**2 and give y.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 PM and 3:13 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 5538, 5553, 5586, 5643, 5730, 5853, 6018, 6231?\n\"Answer: k**3 + 3*k**2 - k + 5535","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -129563, 0.2, 5\/2 in decreasing order.\nAnswer: 5\/2, 0.2, -129563","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -724 - -746. Calculate the remainder when k is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -53*h**2 - 1. Let c(s) = -s**2. Give c(z(k)).\nAnswer: -2809*k**4 - 106*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 144785?\nAnswer: 5, 23, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.083 + 18.083. Let m = -18.1 + j. Which is the closest to 0.1? (a) m (b) 1 (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4 and -1964367.9.\nAnswer: -1964363.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 64206 to the nearest integer?\nAnswer: 253","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 356, 784, 1190, 1574, 1936, 2276, 2594?\n\"Answer: -11*x**2 + 461*x - 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 657141615 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1 (b) -1\/9 (c) -1\/4 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.059 + -1.059. Which is the nearest to 1? (a) d (b) -5 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 278 + 18775*s**2 - 291 + 4*s - 18788*s**2.\nAnswer: -13*s**2 + 4*s - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -35 + 37. Let p(z) be the second derivative of 1\/3*z**3 + 1\/6*z**4 + 0*z**c + 0 - 2*z. What is the second derivative of p(j) wrt j?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 - p**2 - p + 13. Let n(d) = -29*d**3 - 10*d**2 - 82*d + 130. Determine 10*a(s) - n(s).\nAnswer: 19*s**3 + 72*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2*n**2 + 9*n - 6. Let t(u) = 2*u**2 + 8*u - 5. Let p(b) = 4*l(b) - 5*t(b). What is p(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 7*a**4 - 3*a**2 - 16*a - 3. Let y(w) = 20*w**4 - 8*w**2 - 48*w - 8. Let n(c) = 8*l(c) - 3*y(c). What is the second derivative of n(m) wrt m?\nAnswer: -48*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 + 39*x**2 - 17*x - 2082. What is g(-38)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, i: 5, h: 6, q: 3}. Give prob of picking 1 f and 1 h.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1781, 1787, 1797, 1811, 1829, 1851, 1877?\nAnswer: 1907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the third derivative of -n**5\/60 + 269*n**4\/24 + 45*n**3 + 3*n**2 + 16*n. Factor b(q).\nAnswer: -(q - 270)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -274, -273, -272, -271, -270, -269?\n\"Answer: p - 275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 7 - -1 - 5 - (1 - -17)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 2898?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.79 + -96.21. Let y = -153521885.000321 + 153521983. Let n = y + g. Round n to five dps.\nAnswer: -0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16019091 by 485427.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 817 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s**2 + 0*s**2 - 2*s**3 + (3*s**3 - 5*s**3 + s**3)*(-2 + 5 - 2) + (3*s - 3*s + s)*(-2 + 0 + 1)*(347*s**2 - 464*s**2 + 309*s**2).\nAnswer: -195*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8120*u - 7168 = 7224*u for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 689 divided by 11.\nAnswer: 689\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 AM and 11:09 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -3*w - 1. Let v be 1 - (-6)\/(3 - 5). Let m be k(v). Solve -m*h + 2*q - 21 = 0, -3*q + 5*q = 2*h + 6 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k - 14. Let y(f) = -925*f - 32. What is -2*n(u) + y(u)?\nAnswer: -923*u - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/k**1)\/k)**(-30)*(k\/(k**(-5\/2)*k))\/k*k\/(((k\/(k*k\/(k\/(k\/((k**(-1\/6)\/k)\/k)))))\/k)\/k*k) assuming k is positive.\nAnswer: k**(20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15*(-7)\/63)\/((-8)\/(2592\/(-60)))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, t: 2, s: 2}. What is prob of picking 2 t and 2 s?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**3\/3 - 904*z**2\/3 - 181*z\/3.\nAnswer: z*(z - 181)*(5*z + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 20 = -32*n + 14*n + 21*n, 3*n = -66*i + 252 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4.65, -0.26, -1\/15, -1\/2, 2\/5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 + (0 - 9\/6)*-2. Let a = -1 + 3. Sort t, a, 4.\nAnswer: a, 4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26959 is divided by 12837.\nAnswer: 1285","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-165)\/121)\/15 + (-651)\/(-506) and (-2)\/(-1) - (-93)\/(-12).\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**8)**(-12\/17)\/(((w*w**(-2\/45)\/w)\/w*w)\/w**(-17)))**(12\/19) assuming w is positive.\nAnswer: w**(-69164\/4845)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -456463337*l - 482509959?\nAnswer: -456463337","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes before 1:04 PM?\nAnswer: 5:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 - 2*z + 2. Let s be q(2). Suppose 2*i + s*p - 42 = 0, 3*i - 2*p - 43 = -0*p. Let x = -5 + 36. Calculate the remainder when x is divided by i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1003195 to the power of 1\/2, to the nearest integer?\nAnswer: 1002","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of -a**6\/180 - a**4\/6 - 2*a**3\/3 - 4*a. Let j(t) be the second derivative of r(t). What is the first derivative of j(i) wrt i?\nAnswer: -4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1))**(-1\/36)*(h*h*h\/h**(-4\/5)*h*h)\/h*h*h*((h*h**15\/h*h)\/h)\/h)**(-9\/4) assuming h is positive.\nAnswer: h**(-3749\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, -4, -64695, 1.7, 0.2, 0 in descending order.\nAnswer: 1.7, 0.2, 0, -3\/5, -4, -64695","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15 and 690?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1\/559 - -85\/559. Let a = 0.9 + 0.1. Let l = 4.053 + -3.953. Put l, a, q in descending order.\nAnswer: a, q, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 2 + -3 + 6 + -4 + 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3*(-6)\/(-54))\/((-1)\/9).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 + -8. Solve -8 = q*t + 12 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a millimeter in micrometers?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6119501801 - 2.\nAnswer: -6119501803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -4*l - 8, -u + 4*l = 2*l + 1. Let f(q) = 141*q**2 - 2*q + 1. Let y be f(1). Is 146\/(8\/y*u) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -642 - -1?\nAnswer: -641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6 and 8798.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 48461, 193954, 436437, 775904, 1212349, 1745766?\n\"Answer: -h**3 + 48501*h**2 - 3*h - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 + 2 + (140 - -2). Let q(f) = 4 - 5 + a*f**2 + 0 + 279*f**2. Let h be q(-1). Round h to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*6.8\nAnswer: 2.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of g**3*i + 15429*g**3 + 3*g*i + 952*g + 378*i - 2 wrt g?\nAnswer: 6*g*i + 92574*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the second derivative of 1\/12*q**4 - 3\/2*q**2 - 5*q + 0 - 5\/6*q**3. Let g be 4\/10*(16 + -1). Calculate p(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 21\/2, -0.4, 2\/7, 3\/8 in increasing order.\nAnswer: -0.4, 2\/7, 3\/8, 8, 21\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 2 c when four letters picked without replacement from aekaeccm.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, -3, -0.2, 0 in descending order.\nAnswer: 16, 0, -0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21.113 + 21.6. Round x to two dps.\nAnswer: 0.49","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -635*n + 5559 = -744*n for n.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the third derivative of 0*u - 5\/12*u**5 + u**2 - 1\/18*u**3 + 25\/72*u**6 + 5\/24*u**4 + 0. Factor s(w).\nAnswer: (5*w - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 + s + 2. Suppose 10*w = 17*w. Give c(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of (146 - -6 - 10)*23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*z - 4*v - 19, 4*z - 11077*v = -11082*v + 15 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -2*g + g - 3 - 8*g + 4*g. Suppose 5*f = -5*v + 75, 53 = 2*v - 2*f + 7. Suppose 0 = -3*l + 2*p - v, 3*l - 5*p + 4*p = -14. Give q(l).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*q = 47*q - 57*q - 377 for q.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*r + 1513 - 685 = 0 for r.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.1 or -292918?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-8)\/(-110))\/(4\/(-10)). Suppose 5*m = -u + 65, -m - 12 = -u + 29. Let f = -87\/2 + u. Which is the third smallest value? (a) f (b) h (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 723, 758, 815, 894, 995, 1118?\n\"Answer: 11*h**2 + 2*h + 710","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3157179 to the power of 1\/2, to the nearest integer?\nAnswer: 1777","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s - 8. Calculate z(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105 is divided by 50?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -97 - -99. Sort f, -86, -0.5 in ascending order.\nAnswer: -86, -0.5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 45850800 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -833 - -277. Is 12 a factor of (p\/(-32)*4)\/(1\/2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 35*z**3 - 90*z**2 + 75*z - 20.\nAnswer: 5*(z - 1)**2*(7*z - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -175 - -43. Let p = f + 143. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**2 + 3*i**4 + 5*i**3 + 2*i**4 - 25*i**2 - 20*i.\nAnswer: 5*i*(i - 2)*(i + 1)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y**5\/6 + 47*y**4 - 6296*y**3\/3 + 4057*y**2 - 12031*y\/6 = 0.\nAnswer: 0, 1, 53, 227","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**4 - 2*i**3 - 735*i**2 + 8672*i - 7936.\nAnswer: (i - 16)**2*(i - 1)*(i + 31)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.8 - -3. What is the nearest to 1\/4 in -5\/3, -1, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2898\/1764 - (145\/35 - 9\/3). What is the smallest value in -10\/13, g, 2\/13, 62, -0.3?\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/14 + (-684)\/84. Let c be (y\/(-6))\/4*0. What is the derivative of -12 + 18*a + 4*a + 1 + c wrt a?\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14620\/(-8041))\/(170\/(-22)).\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of -2*m - 1\/2*m**2 + 3. Let t be z(-3). Which is bigger: -2\/7 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (1 + 2 - (4 + 6\/6))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 63622 + -36113. What are the prime factors of q?\nAnswer: 27509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -g**4 + 124400012*g**3*w - g**2*w - 20*g**2 - 9*g*w + g + 3*w - 4329 wrt g?\nAnswer: -24*g + 746400072*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5.3 - 5.5. Let w be (-2 - (-53)\/25) + (-58)\/(-725). Which is the nearest to j? (a) 18 (b) w (c) -0.4 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**4 + z**4 + 5*z**4)*(-4 + 12 + 12) - 3*z**4 + 5*z**4 - 3*z**4.\nAnswer: 99*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-68)\/14 - (-21)\/(-147) - -269. Suppose -2892 = -6*w - v. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3966223 or 3966280?\nAnswer: 3966223","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 7*z + z. Let u(a) = a**2. Let p(q) = -q**2. Let v(w) = z*p(w) - 6*u(w). Let y(s) = 4*s. Give y(v(x)).\nAnswer: -28*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/447 (b) 0 (c) 1 (d) 2\/11 (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-176*o**2 + 61*o**2 + 55*o**2)*(1 + 0 + 2 - 3*o).\nAnswer: 180*o**3 - 180*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(-3) + 1\/(-3). Suppose -4*b + 0*b + 8 = g. Determine s so that -2*s**2 + 3*s**2 + 2*s + b - 1 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 6*g**5\/5 - 72*g**4\/5 - 492*g**3\/5 - 72*g**2 + 918*g\/5 = 0?\nAnswer: -3, 0, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 - 2. Suppose -4*h + 284 = -k*f, -2*f + 27 = 2*h - 97. Let i be (44\/6)\/(18\/27). What is the greatest common factor of h and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 312 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*k - 14 = 79*k for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(325)*6 + -3)**2.\nAnswer: 180*sqrt(13) + 11709","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4154 (base 6) to base 9.\nAnswer: 1247","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 5\/3 (b) 0.5 (c) -0.6 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 3*t**3 - 10*t**2 - 3*t + 14. Let g be h(7). Which is bigger: g or 533?\nAnswer: 533","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16 - 30*t + 62*t - 14 to the form o + u*t and give u.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -111 (base 5) to base 14\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 704 - 701. Factor 2\/5*a**2 + 1\/5*a + 0 - 2\/5*a**4 + 0*a**s - 1\/5*a**5.\nAnswer: -a*(a - 1)*(a + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -35832 and 5955?\nAnswer: -213379560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 19751 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.4 > 9.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 - 5*m**2 - m - 2. Determine f(6).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 25 = -5. Let g be 0 - 5\/(l\/2). Let x = -1 + 2. Sort x, -0.2, g.\nAnswer: g, -0.2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.4 + 154415686.6.\nAnswer: 154415688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-62*(-1)\/8 - 8)*-2. Which is the closest to 0? (a) r (b) 3\/2 (c) -1 (d) 2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 648355 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbob. What is prob of sequence obbb?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1250533.\nAnswer: 23, 54371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 4 = 300*k - 288*k. Let a(c) = 96*c**3 - 120*c - 120. Let j(g) = -g**3 + g + 1. Calculate k*a(v) + 120*j(v).\nAnswer: -24*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 289 + 252. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 611 and 116?\nAnswer: 70876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*22\/(-77)*14.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2902113486 is divided by 1601?\nAnswer: 1599","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18, -71, -228, -459, -770, -1167, -1656?\nAnswer: -2243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5961884 a multiple of 449?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 54952.41 litres in millilitres?\nAnswer: 54952410","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10 or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*h + 5*x = 8*h + 15, 0 = -2*h - 5*x + 12 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (0 + 1))*(-14)\/28?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31013 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 612 = 2*r. Suppose a + 3*l = 161, -5*a + r = -3*a - 2*l. Let u = a + -1915\/12. Find the common denominator of u and 59\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*y + 5528 - 4329 = 0. Calculate the remainder when 9262 is divided by y.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.9215069mm?\nAnswer: 0.0009215069","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2114829651.\nAnswer: 3, 11, 41, 142097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the third derivative of -t**4\/3 + t**3\/3 + 2*t**2. Let s be z(3). Let n be (s\/4)\/(4\/(-8)). What is the greatest common factor of n and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -4 (b) -5 (c) -6\/11 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -x + 10, 2*x + 4 = 4*w - 0. Let t be 14 + x*(-3)\/3. Differentiate -t + 17 + 6*k**4 + k**4 wrt k.\nAnswer: 28*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 p when three letters picked without replacement from xppgppptekkkktp?\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2248297 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + -1.5. Let p be -4 - (-5 + 1)\/2. Let h = 2.66 - 2.56. What is the nearest to h in p, 0.5, z?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gc when two letters picked without replacement from ggyycgg.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2 + 7*n + 4*n + 3 + 4*n + n**2. What is the tens digit of d(-16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 + (-6)\/(-5))*5. Let n(c) be the second derivative of 6*c + c**2 - 1\/6*c**3 + 0. Give n(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119 is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -2*j**2. Let y(s) = -13*s. Let o(q) be the first derivative of -q**2\/2 - 32. Let b(k) = -3*o(k) - y(k). What is b(x(r))?\nAnswer: -32*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3787413 and 476.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -44 - -47. Which is bigger: l or -3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*v - 594 = 76*v. Let p = 29 - v. What is the greatest common divisor of 114 and p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 1\/4, 0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5569 + 24630.29.\nAnswer: 30199.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*y - 18*y - 23*y.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + 1000101111000000001100110?\nAnswer: 1000101111000000001100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*s + 2108 = 108*s. Solve 13*z - 10*z - 12 = -3*j, 4*z = -3*j + s for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1560.19 years?\nAnswer: 18722.28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 1561 = -2*a + 1569, -6*a - f + 43 + 33 = 0 for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 2*l - 4*u, -6 = u - 3. Suppose l*r - 8*r - 3*k + 224 = 0, -2*k - 185 = -3*r. Calculate the common denominator of r\/60 - 2\/6 and 111\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-4)\/l**(-2\/23))**(14\/3)\/((l\/l**6)\/l*l**8*(l**2)**38) assuming l is positive.\nAnswer: l**(-2214\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, 2\/27, 39, 3\/2, 2\/25?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(180) + -3)*6 - (sqrt(180) - (sqrt(180) + -4*sqrt(180) + sqrt(180)))*-2)**2.\nAnswer: -78732 + 7776*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of -5*l + 4*l - 3 + 0 + 2*l. Let p(m) = 2*m - 4. Determine 3*k(i) + p(i).\nAnswer: 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 296, 1902, 5898, 13364, 25380, 43026, 67382, 99528?\n\"Answer: 180*j**3 + 115*j**2 + j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m = -0*m - 3876. Is 34 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 + 6*i + 5. Let j(v) = v + 11. Let w be j(9). Suppose -2*q = -5*s - q - 24, -5*q = 3*s + w. Determine y(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4, t: 4, z: 6}. What is prob of sequence zqq?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 161 a factor of 389137?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sns when three letters picked without replacement from sssnnn?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 270702860?\nAnswer: 2, 5, 1459, 9277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -6905, -55112, -185865, -440408, -859985?\n\"Answer: -6874*z**3 - 29*z**2 - 2*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 694.9 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28409?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.04066 - 2\nAnswer: -1.95934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - 2. Let p = 94 - 89.9. Let s = p + -0.1. Which is the smallest value? (a) x (b) -1 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9164009?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -146? (a) 31 (b) -2 (c) 3 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 13\/4 - 2\/8. Solve -5 = j - c, -4*j = 2*c + f*c + 11 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 77442?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -519 (base 12) in base 13?\nAnswer: -450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/4 + 42\/104. Suppose 0*x + 5*o = 5*x + 10, 3*o + 9 = 0. Which is the third smallest value? (a) x (b) -2\/5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18458731 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 6 + 2 + 2 + 1 - 2 - 3 + 1 + 0 + (-2 + 4 - 3)*(1 + 2 - 1))*(2*x - 3*x + 0*x)*(-3*x + 2*x - x).\nAnswer: -10*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 121 * -1401.\nAnswer: -169521","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -339 - 3?\nAnswer: -33c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 13) to base 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4698*b**4 - 8902*b**4 + 4711*b**4 + (-6*b + 3*b + 2*b)*(-2*b**3 + 5*b**3 - b**3).\nAnswer: 505*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -1. Let u = -3 - r. Let b(m) = -m**3 - 3*m**2 + 1. Let c(x) = -x**2 + 1. Let f(j) = u*c(j) + b(j). What is the first derivative of f(g) wrt g?\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 2:02 PM?\nAnswer: 9:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*u - 3*u + 7*u + (2 - 2 + 2)*(2*u - 3*u - u) - 321*u - 453*u + 294*u - u + 3 - 3 + (0 - 2 + 0)*(-5*u + 4*u + 0*u) to the form a + w*u and give w.\nAnswer: -481","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.045705 from -12281.\nAnswer: -12280.954295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 212.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 + -38*3\/15)\/(6052\/2020 + -3).\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -31.13 + 0.13. Let c be (35\/441)\/((-30)\/(-84)). Put c, h, -5, 1\/4 in decreasing order.\nAnswer: 1\/4, c, -5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 547877 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(28)\/(sqrt(20)\/sqrt(5)).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 AM and 10:42 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together 51708 and 1.73.\nAnswer: 51709.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -65*a - 37*a + 150*a + 99*a + 127*a + 79 with respect to a.\nAnswer: 274","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 209\/2 + -105. Is 2\/361 > a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z - 60. Let t(a) = a**2 - a + 1. Determine r(j) + t(j).\nAnswer: j**2 - 59","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p**4 + 605620*p**3 - 1816772*p**2 - 7872964*p + 9084120 = 0.\nAnswer: -3, 1, 5, 151402","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19444 + 30640. What is the third derivative of -154*b**5 - 50*b**5 - u*b + 11196*b + 12*b**2 wrt b?\nAnswer: -12240*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(5\/(4\/(-4)))*((-17160)\/99)\/52.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 2:32 AM?\nAnswer: 7:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 107.6296 times -51\nAnswer: -5489.1096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.67 + 14.82. Let r = -11.0971 + i. What is r rounded to 2 dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 - 2*s**4 + (-224 + s - 4*s + 228)*(1898 - 74*s**3 - 1898).\nAnswer: 220*s**4 - 296*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 14*i + 626. Let s be g(-45). Sort s, -114, 3 in decreasing order.\nAnswer: 3, s, -114","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18 - 211. Let v = -228 - w. Is -18\/41 greater than or equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-5\/3))**(-15\/4)\/(m**(-1\/33)*m\/m**(-23)) assuming m is positive.\nAnswer: m**(-2339\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23583 + -23415. Calculate the highest common factor of k and 328.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 26314032.55 to the nearest 1000.\nAnswer: 26314000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*r**2 + r**2 + 3*r**2)*(-935381 + 935381 + 1605*r)*(r**2 - 4 + 4).\nAnswer: -1605*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.07 - -6.07. Let s = r - 5.99. What is s rounded to 2 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, 268, 1, 3.\nAnswer: 1, 2, 3, 4, 268","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -19*c - 694*c**2 - 26*c**3 + 25*c**3 - 46 + 688*c**2 + 7*c. What is x(-5)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 348707030 a multiple of 1301?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*c - c - 4*c)*(-3 + 7 - 3)*(-1 - c**4 + 1)*(29 + 5 + 24).\nAnswer: 1450*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1772 or -1766?\nAnswer: -1766","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1007 minus -0.0804?\nAnswer: -0.0203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvii. Give prob of sequence vi.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -2*t**5 - 258*t**4 - 7636*t**3 + 45148*t**2 + 7638*t - 44890 = 0?\nAnswer: -67, -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99*d + 542 = -97*d. Let b = -234 + d. What is the highest common divisor of b and 592?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -252 = 107*d - 103*d. Let a = -59 - d. Calculate the remainder when ((-2)\/a*-2)\/(1\/36) is divided by 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 9*r**2 - 3*r + 4. Let x be o(1). Calculate the greatest common factor of 5 and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14383 - 14383. Solve 762*j - 754*j + 72 = t for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -j*y**3*z + 802*j*y*z**2 + 53*y**3 - 18*y**2*z**2 with respect to j.\nAnswer: -y**3*z + 802*y*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -200001212 + -101?\nAnswer: -200002020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -40663, -84032, -127401, -170770, -214139, -257508?\nAnswer: -300877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 3*c**2 + c. What is h(2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + -34. Let i = r - -34. Solve i - 1 = a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*b**3 + b**3 + b**3 + b**3.\nAnswer: -5*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (95*-1)\/(3435\/687)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -39\/22 in 3, -2\/15, 1038?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.4, 3\/4, -1\/2, 796, 5?\nAnswer: 796","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes after 9:16 PM?\nAnswer: 11:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/61610 and 79\/12322.\nAnswer: 61610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 88758816 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -65 + 65. Suppose 4*w - 187 = -j - b*w, -j - w = -178. Suppose -4*u = -j - 201. What is the tens digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bee when three letters picked without replacement from emmuxcuembmumexmue?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-128)\/(-36) - -1)*-14. Let p = v - -64. Is -1 at most as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 7, r: 5}. Give prob of sequence rrhr.\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -20142 + -4?\nAnswer: -20150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 52\/9, 15\/13, -737?\nAnswer: 15\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 39286 and 7172717?\nAnswer: 186490642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 3 = -3*g, -5*y - g + 29 = -0*g. Suppose y*z - 20 = 0, -5*z + 2*z - 38 = -2*c. Is c a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*b**3 + 5*b - 4*b - 3*b + 5*b**2 as q + y*b**3 + l*b**2 + n*b and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 14 + 24*w + 22*w - 8*w wrt w?\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (7 - (-1836)\/(-901))?\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 3*h**2 + 2*h**2 - 6*h + 4 - 4*h - 3*h. Let a be d(4). What is the greatest common factor of 256 and a?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(13) - (sqrt(39)\/sqrt(3) + -2)) + ((sqrt(104) + sqrt(104)*1 - sqrt(104))\/sqrt(8))**2.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 15 = -0*p. Let z = p + 17. Sort 3, 5, z.\nAnswer: z, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*l + 88*l - 4*o - 14 = 0, 3*o + 3*o + 20 = 4*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/7 (b) 21 (c) -6 (d) 1 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + k = 0, -21*k + 88 = -5*n - 1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in -1.2, 7, 0, -5, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**2 + 153*y + 62.\nAnswer: -(y - 31)*(5*y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17 - -20. Let k = -15 + 10. Put 4, k, -3, z in descending order.\nAnswer: 4, z, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.49 - 37.69. Let l = r - -34. Which is the closest to l? (a) 1 (b) -2 (c) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of -x**4\/4 + 37*x**3\/3 - 35*x**2 - 298. Suppose a(h) = 0. What is h?\nAnswer: 0, 2, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 1 - 3 = 0. Let l be 1 - 4 - k - -9. What is the highest common factor of 63 and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 1, 74, 0.\nAnswer: 0, 1, 11, 74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 3*v + 65 = 0. Suppose -8*s + v = -67. Solve m - 8 + s = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12230?\nAnswer: 2, 5, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 836 = -3*k - 169, -5*k = -i - 151. Let n = i + 136. Suppose -4*m + 0 + 20 = 0. Solve 5*o + n = m*z, 4*o - 3*o + 3*z = -1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17438031?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 885 and 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*m + 2*m**4 + m**4 + 511*m**2 - 2*m - 4*m**4 - 470*m**2 as r + k*m**2 + b*m + d*m**3 + u*m**4 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-6)\/8)\/((-12)\/16). Let f be 1\/(-6)*(-30)\/a. Solve -j = -f*k + 23, 3*j = -7 - 2 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -83.04 - -2\nAnswer: -81.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12816464?\nAnswer: 2, 73, 10973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -162653478 by 22263.\nAnswer: -7306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (18*s - 38*s - 67*s - 3*s)*(s**2 + 2*s**3 - s**2) - 46*s**4 + 194 - 194 in the form t*s**3 + o*s**2 + z*s**4 + w*s + k and give z.\nAnswer: -226","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.9, 2\/5, 8\/7, -4, -3.\nAnswer: -4, -3, 2\/5, 8\/7, 1.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4, 1459 in descending order.\nAnswer: 1459, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(50) + (sqrt(6050) - sqrt(6050)*1))\/sqrt(10))**2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2179 and 544.\nAnswer: 2723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.7 + 0.5. Let h = 8 - 4. What is the nearest to o in 3\/7, h, 3?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppppppppp. Give prob of sequence pp.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + -6 + -6 - (-2 - 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 10 = -20. Suppose f*s = -3*b + 86, -3*s + 38 = 5*b - 84. What is the least common multiple of b and 26?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) 5 (c) -0.029 (d) -0.48 (e) 0.5 (f) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 105 (base 11) to base 5.\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -127 + 129. Let n(r) = -3*r**2 - 6*r - 4*r**z + 7 - 4*r + 15*r + r**3. Give n(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/6)\/(6*31\/(-93))*21.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1386*x - 1130*x = -2535*x - 1672 for x.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 54 and 162.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (18\/24)\/(42\/(-56))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 - 12 + 12)*(5*c - 3*c + 0*c).\nAnswer: -24*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 909, 3259, 7177, 12663?\nAnswer: 19717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1442?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2808*g**2*j**5 - 3*g**2*j**3 - g**2*j - g**2 - 129*g*j wrt j?\nAnswer: 56160*g**2*j**3 - 18*g**2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of d**6\/180 + d**5\/30 + d**4\/12 + d**3 + 1. Let r(x) be the third derivative of n(x). Is r(-4) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = 4*k - 23, -55*k - 5*p = -10 - 115 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**2 - 5*a + 10. Let l be d(-6). Let n be (-44)\/(-6)*(3 + 18\/(-12)). Suppose n*s - 3 - 30 = 0. Solve -l*g = 1 + s for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-8)\/(-30))\/(24\/300) - 3. Let a(w) be the first derivative of 0*w - g*w**3 + 0*w**2 + 4 - 1\/4*w**4. Find the third derivative of a(q) wrt q.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(5*-2*sqrt(30) - (sqrt(60)\/sqrt(2) - sqrt(30))*-4)\/((1*2*sqrt(1210) - sqrt(1210))*-3).\nAnswer: 50*sqrt(3)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-666)\/(-144) - 12\/(-32). Solve -2*a + 4 = 4*x, z*a + 34 - 55 = x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 8946, 17861, 26776, 35691, 44606, 53521?\n\"Answer: 8915*i + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -39, 128, 303, 492, 701, 936?\n\"Answer: f**3 - 2*f**2 + 166*f - 204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 2*o + 8 = -2, -2*a - 3*o = 5 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**4 - 45*a**3 + 60*a**2 + 100*a.\nAnswer: -5*a*(a - 2)*(a + 1)*(a + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2*v**3 - 25*v**2 + 31*v + 10. Let q be g(11). Let r be q\/(-30) - (146\/(-35) - -4). Factor -4\/7*h**3 + 0 + r*h**4 + 0*h + 0*h**2.\nAnswer: 4*h**3*(h - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 56 = 2*g. Suppose -221 = 5*i - h, -h + g + 120 = -4*i. Let d = i - -76. Does 9 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2501 (base 11) in base 16?\nAnswer: cc4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -79359 smaller than -94692?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 60 and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17850*z - 2*a + 16 = 17855*z, 0 = 4*z - 2*a - 20 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 615838?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -86 - g + 8*g + 2*g**2 + 173 - 89 to u*g + y + q*g**2 and give u.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2\/1271 + -1233\/24149. Suppose l = 5 - 4. Is l less than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1443.255m?\nAnswer: 1443255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3 - 112\/(-60)) + 1. What is the nearest to -1 in -0.2, 1\/3, h?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 525235 is divided by 8844.\nAnswer: 3439","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 41 - 120?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-5)\/(-2))\/((-4)\/(-8)). Let l(b) = d*b - 9 - b + b + 2*b. Is l(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 10 + 2 = 2*i, 5*i = 2*h + 6. Suppose 4 = -5*y + 3*y + i*s, 12 = 4*y + s. Let t(n) = -2 + n + 4*n**2 - y + n**2 + 3. What is t(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 PM and 5:10 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g + 1. Let n(j) = -j**2 - j. Let i(h) = h**2 - 11*h - 12. Let t(y) = i(y) + 5*n(y). Let d(l) = -4*a(l) - t(l). Factor d(w).\nAnswer: 4*(w + 1)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2845924s in microseconds?\nAnswer: 284592.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in -1\/2, 4, 2\/3, -5\/2, -0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1906000 rounded to the nearest one hundred thousand?\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*c**5*y - 9*c**4*y + 15*c**3*y + c**2*y + 174*c**2 - 13*y wrt c.\nAnswer: 360*c**2*y - 216*c*y + 90*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/7 - 2\/7*k**2 - 6\/7*k.\nAnswer: -2*(k + 1)*(k + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/123526 and -43\/975.\nAnswer: 9264450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -244*w + 258*w + 395*w - 25767 = 0 for w.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (48 - 90) + -16 + -9 + -73?\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 9380157 divided by -4569\nAnswer: -2053","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(35) - (sqrt(35) - (sqrt(1715) + sqrt(35)))))\/(sqrt(56)\/sqrt(2) + sqrt(7)).\nAnswer: 16*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 9b - -10?\nAnswer: ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2443\/18654 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, d: 7, r: 7}. What is prob of sequence vv?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6 - -2*(-12)\/(-8). Suppose 6*r + 5475 = y*r. Suppose 4*z = -z + r. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**2 + 54*p - 440. Give h(53).\nAnswer: -387","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l**4 - 684725*l**3 - 17806510*l**2 + 38351880*l = 0. What is l?\nAnswer: -28, 0, 2, 136971","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 10*s + 9. Let v(i) be the first derivative of 5*i**2\/2 + 5*i - 8. What is 4*b(f) - 7*v(f)?\nAnswer: 5*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 177 + 172 + 40*a + 173 - 709 + 185.\nAnswer: 40*a - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 l when three letters picked without replacement from {d: 2, r: 3, l: 4}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -692, -691, -690, -689, -688?\n\"Answer: w - 693","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2 + 10*f + 16. Let h be o(11). Suppose -4*m = -h*n - 20, 0*m - 2*m + 16 = -4*n. Let j = 7 + -12. Put m, j, 1 in decreasing order.\nAnswer: 1, m, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-j + 0 + 0)*(4 - 2 + 0)*(-19 + 0 - 3) to the form m + k*j and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -84\/79 + 341\/395. What is the nearest to 2\/15 in 2, 1\/2, -0.037, s?\nAnswer: -0.037","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-6) - (0 + 1))\/(22 + 7446\/(-340))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 3:39 PM?\nAnswer: 1:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k + 0*k + 0*k)*(2 + 1 - 4)*(20 - 11 + 17).\nAnswer: -78*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 + 456*j**2 + 2300*j - 27. Give x(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 831, -11, 4 in descending order.\nAnswer: 831, 4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - (2 + -1)) + 0 + -2.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 10*a**2 + a - 3. Let u be m(-3). Let f = -18 + u. Let h(t) = 37*t + 281. Let d be h(-7). Calculate the greatest common divisor of f and d.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(33)\/(sqrt(3) + (sqrt(3) + sqrt(48))*-2) + 3*sqrt(1584) + 1))**2 + -4)*4.\nAnswer: 41344*sqrt(11)\/9 + 73451504\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -14 (b) -0.03 (c) 2 (d) 1 (e) -70\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, -39, -1, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*z - 4*g + 7, 2*z = 5*g + 34. Let s(c) = c**2 - 8*c + 8. Let v be s(z). Let y be 5*(-25)\/(-40) - 3. Is v smaller than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 537 divided by 120203.\nAnswer: 537\/120203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 1.1. Let z = -6.6 - -7. Let w = -1 + 0.9. What is the closest to w in l, z, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = k + 2*n, -n + 4 - 11 = -k. Let f be (-56)\/(-12) - (-4)\/(-6). Let b = 9 - f. Solve 0 = k*w - z - 7 - 0, 0 = 5*w - b*z - 5 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*m - 507*f = 44*m + 1026, 4*m + 20 = 2*f for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8264 - -8464. Calculate the remainder when 626 is divided by o.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 28*r**2. Let s(n) = -688*n. Give s(w(p)).\nAnswer: -19264*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q. Suppose -1 = 2*l - 11. Let t(o) = 0*o + 4*o**2 + l*o**2 + 0*o. Calculate u(t(p)).\nAnswer: -9*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 + -7. Let h be 2 + (-23755)\/2160 + 9. Let o = -95\/432 - h. Which is the closest to -1\/2? (a) n (b) 0 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**2 + 4*n. Let q be c(-2). Let k be (-17 - (6 + -4)) + 21. Put k, 71, q in descending order.\nAnswer: 71, k, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 642242?\nAnswer: 2, 317, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 93 = -217974. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -31*w - 3. Let t(a) = -15*a - 1. Let z(o) = -9*t(o) + 4*x(o). Let k(q) = -6*q - 14 - 11 + 40 - 13. Suppose 81*b + 40 = 71*b. What is b*z(h) - 7*k(h)?\nAnswer: -2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1194523 divided by 38533\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - (9 + -17 + 9 - -6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h. Let p be 1\/(-5*(-4)\/120). Let t(k) = -3*k + 17. Let c be t(p). Let a(s) = 7*s. Determine c*a(w) - 6*m(w).\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-4 + (-1668)\/(-416))\/(1\/8)\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of f**3\/3 - 1. Let t = 36 + -31. Is j(t) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + -3. Let i(b) = 2*b**3 + b**2 - 6*b. Let w(p) = 1660*p - 829*p - 830*p. Let m(t) = y*i(t) - 6*w(t). Find the third derivative of m(r) wrt r.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-208)\/((-117728)\/3113)*(-66)\/4*12\/9?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 0 - 4)*(1 - 1 - o) + 1 + 2*o - 1 + 0 - 2*o + 0 - 6*o + 11*o - 11*o + 1 - 1 - o + 0 - o + 0 to the form j + n*o and give n.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -301, -957, -1543, -1645, -849, 1259, 5093, 11067?\nAnswer: 19595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/3 in -2\/13, -2, -3, 1.2, -0.02?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 101273, 202530, 303767, 404978, 506157, 607298?\nAnswer: 708395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5128 - 4422 = -706*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is e50d - -3b?\nAnswer: e549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -436 + 438.89. Let f = n - -0.11. Which is smaller: f or 4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4690 is divided by 46?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 5*j**2 + 80*j - 3. Let f(x) = -2 - 4 + 4 + 1. Let k(w) = 3*f(w) - o(w). Determine g, given that k(g) = 0.\nAnswer: -16, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3171 and 115968.\nAnswer: 453","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (8\/2)\/(-2) + -3. Let z = 1.2 + -1.31. Let n = -0.01 - z. Which is the biggest value? (a) n (b) -4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1545 - -728. Let n = p - -1362. Find the common denominator of (-2)\/6 + n\/(-60) and -53\/26.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1003085.97 to the nearest 1000.\nAnswer: -1003000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -9*u**2 + 98*u + 4. Calculate y(11).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 6*f - 814 = 2*f, -4*f - 20 = 0. Suppose -k = -4*p + 178. Let j be 3\/1 - p\/(-2). Calculate the highest common factor of j and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5304*v + 2 + 5309*v - 20)*(12 + 8 + 15).\nAnswer: 175*v - 630","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 25*t + 290. Determine s(-12).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14494?\nAnswer: 2, 7247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 148041886\nAnswer: 1\/148041886","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l**(-3\/13)*l*l**(-29) assuming l is positive.\nAnswer: l**(-354\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f**3\/23 - 26*f**2\/23 - 52*f\/23 + 80\/23 = 0. Calculate f.\nAnswer: -10, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-36)\/1008 - (-3)\/(105\/10))*-1.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 79*z = 81*z - 121, 4*q - 477 = -z. Sort -1, -4, q in increasing order.\nAnswer: -4, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x + 15. Suppose 6 = -5*m - 3*h, -2*m - 4*h = -m + 8. Let w be v(m). Suppose -o - 2*g + w = 0, o + 0*o + 3*g = 19. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 2:33 AM?\nAnswer: 12:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -4*s**2 + 3*s - 2. Let p be f(2). Suppose -669 = 36*o - 237. Let z be (-32)\/p + 8\/o. Solve -y = z*y + 15 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4.6 - 6. Suppose -2*y + 2*k - 40 - 18 = 0, 37 = -y - k. Let t be (-39)\/y + -1 + (-86)\/110. What is the biggest value in -2\/15, t, b?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.8596311ms in days?\nAnswer: 0.00000004467165625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4796 is divided by 1323?\nAnswer: 827","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -13*c + 10. Let z(t) = 14*t - 54. Let i be z(c). Let q(p) be the third derivative of -5*p**4\/24 + p**3\/3 + 2*p**2. Determine q(i).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.09631 centuries to decades.\nAnswer: 70.9631","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 AM and 7:07 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}