diff --git "a/data/dm_maths/full_data_1/10798_11255.jsonl" "b/data/dm_maths/full_data_1/10798_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10798_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Which is the fifth smallest value? (a) -3 (b) -9\/5 (c) 4 (d) -316 (e) -1 (f) 1\/5 (g) 2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10852795.8 microseconds in days?\nAnswer: 0.0001256110625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119 = y - 3*j + 136, -2*j = 3*j - 5 for y.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -94*k**2 - 163*k + 545. Let c(y) = 18*y**2 - y - 1. Let d(u) = -5*c(u) - p(u). Factor d(o).\nAnswer: 4*(o - 3)*(o + 45)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10\/9 - -4\/9. Suppose 0 = -1292*f + 1285*f - 7. Is f less than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4600703.\nAnswer: 389, 11827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 383\/2387 - 6\/341. Let q = -6 + -1. Let k = -5 - q. Which is smaller: k or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5+0.040752\nAnswer: 5.040752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3498 and 82786.\nAnswer: 248358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s**3 + 4*s**3 + 9*s**3 + (3 - 3 - 2*s**2)*(-s - s + s) + 0*s**3 + s**3 + s**3 + s**3 - s**3 - s**3 - 4 + 4 - s**2 + 2*s**3.\nAnswer: 16*s**3 - s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x = 11*x. Suppose n + x*n = 27. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 72 - 28. Suppose x - 2 = -13. What is the remainder when 360\/g + 2\/x is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2270 = 27*v - 3049. Let y = v + -88. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i**3\/8 - 1227*i**2\/4 - 4899*i\/8 - 306 = 0 for i.\nAnswer: -816, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (303 - 88) + -102 - (-31 + 0).\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 62109 to the nearest integer?\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -82*i**3 + 2*i**2 - 2*i + 2. Let a(w) = 83*w**3 - 3*w**2 + 3*w - 3. Give -2*a(o) - 3*x(o).\nAnswer: 80*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 367 - 363. Suppose -2*r + w*d - 688 = -6*r, 685 = 4*r + d. What is the tens digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.79 * -3\nAnswer: -11.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 116672.56 rounded to the nearest 10?\nAnswer: 116670","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 + 5*v**2 + 3*v - 1. Let q(p) = -p**2 + 1. Let d be q(2). What is the units digit of w(d)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 269400078, 538800157, 808200236, 1077600315?\nAnswer: 1347000394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 143 - 94 - g - g**3 + 3*g**2 - 2*g**2 - 46. Let s be 0*-2*1\/(-2). What is y(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -333 + 202334314?\nAnswer: 202333431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 314595145*x**4 - 3571*x - 34791.\nAnswer: 3775141740*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -m - 4*m - 8*m + (-2*m + 2*m - 3*m)*(14 - 5 + 1) to n*m + b and give n.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 PM and 6:37 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*f + 2*f - 48. Let g(h) = -h - 4. Is g(f) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5115487?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1089 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 2 = c, c - 12 = -2*c. Suppose -o*r + 1 = 5*l, 1 = -2*l - 5. What is the highest common divisor of 2 and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84464 is divided by 41322.\nAnswer: 1820","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.5781 rounded to zero decimal places?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of -l**5\/15 + 7*l**4 - 1846*l**3\/9 + 574*l**2 - 1681*l\/3 - 62. What is k in d(k) = 0?\nAnswer: 1, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 7*m = 4*m - 9, -5*m = 4*z + 18. Factor -1\/4*l**4 + 3\/4 + 3\/2*l**z - 5\/4*l - 1\/4*l**5 - 1\/2*l**2.\nAnswer: -(l - 1)**3*(l + 1)*(l + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6032 and 3910128.\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = -d - 2*s, s = -5 - 1 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*f - 7182 + 8196 = 0 for f.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 52 or 4\/15?\nAnswer: 52","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 499190650 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.06354*-5.\nAnswer: -0.3177","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m**(-1)\/m*m*m))**(1\/4)\/(m**(-3)*m**(-4\/7)*m))**(-2\/7) assuming m is positive.\nAnswer: m**(-79\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1338304*d**2 + 4*d - 67962 wrt d?\nAnswer: -2676608","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 10, -4, -14, -8, 26, 100, 226, 416?\n\"Answer: 2*o**3 - 10*o**2 + 2*o + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 64383986?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9488 + 9490. Let 1\/4*f**t - 1\/4 + 0*f = 0. What is f?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 2332\/224941 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -275.8 times 375.7\nAnswer: -103618.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -12*t**2 - 24*t + 9. Let l be c(-7). Let z = l + 1659\/4. Find the common denominator of -95\/36 and z.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8687 + 22?\nAnswer: 8709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -176260 (base 8) in base 12?\nAnswer: -31528","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 801421666 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7.6 - -8. Let d = 0.5 - -2.5. Let x = 3.2 - d. Which is the third biggest value? (a) g (b) -0.3 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22370795 divided by 5.\nAnswer: 4474159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 6*w**3 + 2*w**2 - 10*w - 5. Let q be l(4). Sort -5, -4, q in descending order.\nAnswer: q, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -44\/2429 and -95\/1388?\nAnswer: 9716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17817475?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - 230?\nAnswer: -223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6056 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 2*y = 54. Is 19 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -2*h. Let b(i) = -19*i. Let q(t) = 10*t - 5*t + 5*t. Suppose -20 - 22 = -7*g. Let n(p) = g*b(p) + 11*q(p). Give n(y(r)).\nAnswer: 8*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -9. Suppose 5*d - 2*a = 14, -o*a - 2 = -5*d + 18. What is the highest common factor of 2 and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 164 and 205?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - c + 7 - c + (52 - 113 - 92)*(c - c + 2*c) to v*c + d and give v.\nAnswer: -308","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -1529 at least as big as -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 64, 5 in descending order.\nAnswer: 64, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 305?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -4 + 14*i - 7*i - 4*i - 5*i. Let a be z(-3). Suppose -18 = 3*x - a*h, 3*h = -3*x + 2*h - 9. Let r(u) = u + 6. Determine r(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 676362, 676352, 676342?\nAnswer: 676332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -9175 - 1214?\nAnswer: -10389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (-7 + 4 - 2) - -6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6502 and 241532.\nAnswer: 785220532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 60, 26, -46, -168, -352, -610?\n\"Answer: -2*p**3 - 7*p**2 + p + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25 + 3 - (-4 - -16 - 1).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2266*q**3 + 1704 + 2267*q**3 - 1704.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6414 - 679873\/106. What is the common denominator of -79\/8 and k?\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*w**(2\/15)))\/(w*w\/((w\/(w\/w**16))\/w))*w**(-3)\/w**(-2\/13) assuming w is positive.\nAnswer: w**(1954\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m + 6. Let q(o) = -o + 5. Let n be q(7). Let f be i(n). Solve 0 = f*b - 2*b + 6 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1841*t**2 + 2018.\nAnswer: 3682*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3730.486 - -3721. Let g = f + 9.6. What is g rounded to 2 decimal places?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -115307*p**2 + 3*p + 2*p + 115301*p**2 - 5*p.\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68*u + 347*u**3 - 116*u + 47*u.\nAnswer: 347*u**3 - u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -628*s + 314*s + 311*s - h + 134 = 0, -5*s - h = -224 for s.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-2\/3)\/d*d\/(d*d**2\/d*d))\/(d\/((d*d*d**(4\/9))\/d)*d**2*d))**40 assuming d is positive.\nAnswer: d**(-2240\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3983144 by 2.\nAnswer: 1991572","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -36*t - 1. Calculate w(2).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 135\/(-6) - (-112)\/704*-22.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 + 6*i + 5. Let x be j(6). Let h = 724 + -323. Suppose -1634 = -4*z + 5*u, -x*u - h = 3*z - 4*z. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 274?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1, 5, 37, 720, 112 in decreasing order.\nAnswer: 720, 112, 37, 5, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 + 28*a**2 + 61*a - 45. Suppose -4*x = -2*k + x + 70, 2*x + 34 = k. Give w(k).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 21 = -18. Let y(m) = -m**3 - 5*m**2 - m + 4. What is y(p)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 761650?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 + -3)\/((-2)\/(-4)). Let j(c) = 2*c - 7. What is the remainder when (n - -8) + -3 + 0 is divided by j(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.4 (b) 577 (c) 2 (d) 21\/20 (e) 2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, -5, -11, 3, 2\/5 in descending order.\nAnswer: 3, 2\/5, -5, -11, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 0*w = -0*w - 675. Calculate the least common multiple of w and 54.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.0376 and 2918.374?\nAnswer: 2918.3364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3917 is divided by 196?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9026?\nAnswer: 2, 4513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*q**4 - 380*q**3 + 4274*q**2 - 7240*q - 14400 = 0.\nAnswer: -36, -8\/7, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + -6 - -5) + (-1 - -1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 32502 to the power of 1\/2, to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-210)\/(-63))\/(4\/6*1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 - 8*i**2 + 15*i - 2. Let a be z(2). Calculate the highest common divisor of 40 and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of k**5\/270 - 419*k**4\/54 + 175561*k**3\/27 + 2*k**2 - 99*k - 6. Let y(n) = 0. What is n?\nAnswer: 419","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1312 - -1385. Calculate the remainder when 1019 is divided by s.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nmdmdndmnmmkmnd. Give prob of sequence mmd.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 10679, 15737, 24159, 35939, 51071, 69549, 91367?\n\"Answer: -b**3 + 1688*b**2 + b + 8991","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -3*t**2 + 18*t + 5. Let u be j(6). Suppose 4*z + 0 = 5*i + 20, -3*z + 15 = -3*i. Put i, -3, u in descending order.\nAnswer: u, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 560, 2280, 5176, 9266, 14568, 21100, 28880?\n\"Answer: 3*k**3 + 570*k**2 - 11*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -266 at least as big as -1870\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o + 0 + 2 - 1. Let z(y) be the first derivative of y**2 - 5376. Give x(z(k)).\nAnswer: 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -126*c**2 + 29734*c + 569. Determine i(236).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 4*f**2 + f. What are the prime factors of t(-4)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - (10 - 6)) + (0 + 13 - (36 + -32))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 5*n**3 - 4*n**2 + 3*n. Let l be i(3). What is the highest common divisor of l and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 + 17. Let h be -2 - r*(-2)\/8. Let d = -0.3422 + -0.0578. Which is the closest to d? (a) h (b) 0.3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2129155 minus -1.85?\nAnswer: -2129153.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10\/3? (a) 23\/4 (b) -0.5 (c) 4 (d) 31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*17336.3\nAnswer: -8668.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 21, 20, 19, 18, 17?\n\"Answer: -y + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + s**4 - s + 3 - 6*s**4 + 8*s**4 as g + q*s**2 + l*s**3 + o*s + a*s**4 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 45211 and 232.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -16*r**2. Suppose p = 4*p + 6. Let c(x) = -48*x**2 - 33*x. Let v(j) = 3*j**2 + 2*j. Let l(k) = p*c(k) - 33*v(k). Determine n(l(b)).\nAnswer: -144*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.596313 centuries to years.\nAnswer: 859.6313","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f - 3. Let n be b(-6). Let r(v) = -5 - n + 10*v + 0. Let o be r(11). Round o to the nearest ten.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -76 divided by 19.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 299 - 9866\/33. Sort -2\/11, 1\/9, o in descending order.\nAnswer: 1\/9, o, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -2*m. Let r(y) = -17*y**2 + 3*y**2 - 8182 + 16350 - 8177 - 18*y. What is s(r(w))?\nAnswer: 28*w**2 + 36*w + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p + 27. What is the smallest common multiple of v(42) and 8?\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of m**6\/120 + 151*m**4\/24 + 652*m**3\/3 - 415*m**2. What is the derivative of l(q) wrt q?\nAnswer: 3*q**2 + 151","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2640 + 213610?\nAnswer: 210640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1098)\/(-488)*4\/6.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 297447169961 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2230337500.\nAnswer: 2, 5, 113, 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2732513.8 rounded to the nearest ten thousand?\nAnswer: -2730000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + a)*(-2*a + 3*a - 3*a) + (6*a + 9 - 9)*(3 - 2*a - 3) - 2*a + 5*a**2 + 2*a + (-2*a + 4 - 4)*(-4*a + 2*a + a) as q + j*a + g*a**2 and give g.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f - 17035 = 27029. Calculate the greatest common factor of f and 102.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -110001010101 (base 2) in base 14?\nAnswer: -1217","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of -1\/84*o**4 - 1\/70*o**5 + 0 + 0*o**3 + 0*o + 11*o**2 - 1\/210*o**6. Factor n(h).\nAnswer: -2*h*(h + 1)*(2*h + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/16*(80\/(-15))\/(-8)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002965064 to 3 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-54)\/(-189) - (-34)\/(-70)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 674*c + 1. What are the prime factors of t(1)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -19669, -19719, -19813, -19951, -20133, -20359?\n\"Answer: -22*y**2 + 16*y - 19663","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -2 - 2*d - 3*d + 1. Suppose 3*o - 3 = -4*g - 0*o, 24 = -3*g + 3*o. What is the smallest common multiple of q(g) and 8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3142 = -27*m + 2845 for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -131? (a) -2\/9 (b) 8 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6598?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 1 + 3*h**2 - h + 7 - 5 as c*h**2 + x*h + w and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1013 + 2?\nAnswer: -1011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 68\/28)\/((-8)\/(-56)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6326, 5\/4, 2 in decreasing order.\nAnswer: 2, 5\/4, -6326","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g\/g**(-1\/6)*g*g)\/((g\/(g\/(g*g**(-3)*g)))\/g))\/(g**(-5)*g*g**(4\/3)\/g))\/((g**(1\/4))**(3\/16)\/(g\/(g*g**(-7)*g)*g**7*g*g*g)) assuming g is positive.\nAnswer: g**(4951\/192)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -199 = 89*c - 21 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange i - i + i + (-2*i - 4 + 4)*(0 - 2 + 1) + 0*i + i - 2*i - i + 3*i - 3*i + (-6*i + 6*i + 4*i)*(11 - 6 + 5) to the form s + n*i and give n.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*s = 119*s - 13266917 - 860427. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(((i\/i**5)\/i*i*i)\/i)*i)\/i**(-37))\/(i**12)**(1\/5))**(-29) assuming i is positive.\nAnswer: i**(-5887\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 3*s + 3*x - 46, 70 = 5*s + 5*x. Let u(j) = -4*j + 48. Let v be u(9). Solve -3*k = 3*w + s + v, 0 = -w + 3*k + 10 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.580641 to 1 dp.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.177 * -24.3.\nAnswer: 4.3011","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of j**3 + 163590017*j**2 + 29*j - 7237539 wrt j?\nAnswer: 6*j + 327180034","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 q when two letters picked without replacement from cccqncccnlnqkkncrrcc.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 987?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 1530*b + 17. Let r be g(-2). Let h = -1706 - r. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 3 s when four letters picked without replacement from {u: 4, y: 1, s: 8}.\nAnswer: 56\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2.56 * -216\nAnswer: -552.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -29*g + 78. What is the remainder when 128 is divided by q(1)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -24\/8191 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.12 - -0.22. Let o = u + 1.35. Let t = -0.6 - o. Round t to 1 dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((6\/(-15))\/2)\/(32\/448*-1)?\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(70)*-1*6 - (sqrt(70) + (1*sqrt(70) - sqrt(70)))*-2*4)\/((sqrt(70) - sqrt(70)*2*4)\/((-2*sqrt(56))\/sqrt(8))))**2.\nAnswer: 5776\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * -8977.\nAnswer: 3590.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1589 a factor of 85483970?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -219258 by -18.\nAnswer: 12181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*m - 2*z + 2, -2*m - 4*z + 10 = 36 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 1159?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 106056 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 322402369?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 267*q + 267*q - 58*q**2 + 3 - 534*q.\nAnswer: -58*q**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*d + 5*h - 10 = 2*d, -3*d + 16 = -2*h for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**6*i*i\/(i\/(i*i\/(i**(2\/69)\/i)))*i*i assuming i is positive.\nAnswer: i**(826\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f**4 + 51*f**3 - 171*f**2 + 177*f - 60 = 0.\nAnswer: -20, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (260\/32 + -8)*4. Let p = -0.2 + 0. Let g(c) = 9*c + 11. Let n be g(-1). What is the nearest to t in p, n, 3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(-1))**(5\/7)\/(f**(-2\/5))**(-16)*(f**(-3)*f*f\/f**5)\/((f\/(f\/((f\/f**(-1\/6))\/f)))\/(f*f\/(f**(-2\/5)\/f)*f)) assuming f is positive.\nAnswer: f**(-283\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 + 8*f**2 - 9*f + 1. Determine q(7).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -40 + -23. Let f be 18\/q + 10\/(-14). Suppose -3*y + 3*i = 2*i - 3, y = -i + 1. Put f, y, -5 in decreasing order.\nAnswer: y, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15? (a) 0.3 (b) -0.1 (c) 5 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -16267095*a - 12153*a**2 + 16267095*a + 1451*a**2 + (1 + 0 + 1)*(-a**2 - 2*a + 2*a) + 3*a**2 - a**2 - 3*a**2.\nAnswer: -10705*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - ((-6 - -3) + (-13 - -19))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**1)**26\/(c**(8\/5)\/(c**(3\/2)\/c)))**(-3\/17) assuming c is positive.\nAnswer: c**(-747\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) 3 (c) -2\/21 (d) 10 (e) 14\/9 (f) -0.3 (g) -0.07\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 328 and 2460?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*c + 144 = -7*c. Suppose -3*g = -f + 17, -2*f + 2*g + 43 = -7. Let h = c + f. What is h rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 84790*b**3 + b**2*f + 145*b*g**2 + 10*f*g**2 - 1844*f - 129*g**2 + 9*g wrt b?\nAnswer: 254370*b**2 + 2*b*f + 145*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*t - 18*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*r - 17*r + 4*r = 26*r + 2860 for r.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a**3 - 2*a**3 - 2*a**3)*(0 - a**2 + 3 + 2*a**2) - 596*a**5 - 887*a**2 + 887*a**2.\nAnswer: -600*a**5 - 12*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*a = 6*a + 261. Let t = 31 - a. Let x(b) = -b**3 - b + 2. Determine x(t).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, b: 2, g: 2, a: 4}. Give prob of sequence ta.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -565435+-14.37\nAnswer: -565449.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5552 - 5151?\nAnswer: 401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -16*s**2 + 27*s + 8. Let n(l) = -3*l**2 + 12. Determine f(n(r)).\nAnswer: -144*r**4 + 1071*r**2 - 1972","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2635 (b) 0.5 (c) 3 (d) 3.2 (e) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes before 6:52 PM?\nAnswer: 2:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-120)\/16 - -6)*-2. What is the third smallest value in -2, -20, j, -0.06, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*f**6 + 112114*f**5 + 760002*f**2.\nAnswer: -600*f**3 + 6726840*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.98 - 1.61. Let c = -122 + 123.03. Let v = c + t. Put -0.1, v, 3, -2\/11 in descending order.\nAnswer: 3, v, -0.1, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 145*r**5 - 18986*r**4 + 17671*r**3 + 1170*r**2 = 0.\nAnswer: -9\/145, 0, 1, 130","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 1) + (9 - 5) + 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2571572 and 320160714?\nAnswer: 640321428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0647994837 rounded to 2 dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 49*g - 18*g**6 - g**3 + 125*g**2 + 12*g**3 + 88*g - 137*g wrt g.\nAnswer: -2160*g**3 + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6*2\/24)\/(-10).\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 - 13*x - 10. Let k be t(14). Suppose -5*n = -5*r - 65, k*n - n - r - 45 = 0. Solve 0 = -2*i + 3*d + n, -3*i + 21 = -3*d + 3 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 96?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2898514 is divided by 80513.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -402 - 224*t + 402.\nAnswer: -224*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1195 smaller than -1135?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange t**3 - 9*t**2 + 7*t**2 - 1 - 10*t**4 + 2*t**3 - 2*t + t**2 to u + r*t**2 + a*t + f*t**4 + j*t**3 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 4 = o, 66*o - 63*o + 3*h + 33 = 0 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 48, 4, 105, -2 in descending order.\nAnswer: 105, 48, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 274 - 273. Let x = -0.1 + -1.9. Which is the closest to u? (a) 0.2 (b) 1 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 + (4 - (-124)\/(-132)). Which is greater: y or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 175*z + 20517 = 196*z. Is z a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(((-1)\/(-2))\/(3\/6)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*l**4\/5 + 3777*l**3 + 418911*l**2\/5 + 981207*l\/5 - 314982\/5 = 0. Calculate l.\nAnswer: -19, -3, 2\/7, 921","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.07 - -4.93. Sort l, -0.08, -1\/4 in ascending order.\nAnswer: -1\/4, -0.08, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -4*y**3 + 3*y**2 - 4*y + 3. Let a(r) = r**3 + r**2 - r + 1. Let l(t) = -3*a(t) - i(t). Let s be l(4). Let q = -6 - s. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -517 - -760033?\nAnswer: 757314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 604?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*b = -45*b + 54 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*p**3 - 3*p**3 - 28*p + 40*p - 12*p.\nAnswer: 5*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -50 plus -7090484?\nAnswer: -7090534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 204 is divided by 37.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 6 (b) -2 (c) -14 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = j + j - 2, 0 = -a - 5*j + 5. What are the prime factors of 1 + 71 - a\/(-2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 3 - 4 + 3*u - 5. Let f be b(4). Let z be (-1)\/8*(-8)\/f. Sort 0.2, z, 3 in increasing order.\nAnswer: z, 0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-84)\/39 + (-8)\/(-52). Let n be (t\/(-3))\/((-16)\/(-120)). Suppose -n*x - y + 2390 + 1569 = 0, 0 = -5*x + y + 3951. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10401 - 10400.8. Sort 6, 2, 12, 1, t.\nAnswer: t, 1, 2, 6, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of -d**6\/540 - d**5\/90 - d**4\/54 + 4*d**2 + 15. Let p(s) be the second derivative of z(s). Factor p(u).\nAnswer: -2*u*(u + 1)*(u + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (192\/(-20) - -9)*(0 - 5). Suppose 0 = -3*h + t - 3*t + 269, -5*h + 449 = k*t. What is the tens digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2\/501 - 108\/835. Let t = -1.1 + 0.6. Let h = 1.5 - t. Which is the closest to -1\/3? (a) h (b) 2\/7 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 697 - 2041?\nAnswer: -1566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 + 7*w**2 - 4*w - 9. Let d be n(6). Suppose 4*h + 7*z - d*z = 148, -2*z = 2. Let u = h - 35. Solve -4*l - 8 = 4*s, -u*s = -l - 4*l + 30 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*w + 2773 = -747. Suppose -2*z + 6*z = y + 643, w = 2*z - 2*y. Is z a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -6*h. Let s(f) = 215984214*f. Determine n(s(a)).\nAnswer: -1295905284*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21 + 27. Let y(n) = n**2 - 5*n. Let l be y(v). Calculate the remainder when 40 + -1 - (l + -2) is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 791885?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3050972 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-5199)\/(-2) - ((-160)\/2560)\/((-2)\/16) is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39635056.\nAnswer: 2, 67, 36973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 4:43 PM?\nAnswer: 4:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*t - 30*t + 558 = -24*t for t.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-75)\/(-10)*(-2)\/(-3). Calculate the remainder when (-1)\/(-5) + 74\/c is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dhll when four letters picked without replacement from hllldddldldldddddldl?\nAnswer: 77\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 1421.8194.\nAnswer: 284.36388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -s**2\/4 + 15*s - 225 = 0. Calculate s.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h - 3 + 5 - 1. Let o(x) = 4*x - 21861 + 21864 + 0*x. Calculate -3*a(y) + o(y).\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/7, -0.2, -9, 5.\nAnswer: -9, -0.2, 4\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -45 + 0. Let b = -42 - u. Solve 6 + 1 = -q + 2*n, -5*q + 4 = b*n for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4306777.4459 plus -6.52?\nAnswer: 4306770.9259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2364 is divided by 752?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 703696456 at most as big as 703696453?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3000 = -6652*b + 6602*b for b.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33074 = 2*l + 8*l - 90026. List the prime factors of l.\nAnswer: 2, 5, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -8646 - 3?\nAnswer: -8650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -238 (base 9) in base 8?\nAnswer: -305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 l when two letters picked without replacement from {s: 6, w: 2, h: 3, l: 3, k: 1}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93 = -27*c - 35*c - 2632 - 561 for c.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.1, -6 in decreasing order.\nAnswer: -0.1, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 3 t when four letters picked without replacement from {t: 4, a: 2}?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/18 + 26\/(-18) + 3. Factor 2\/3*i**2 + 0 + f*i.\nAnswer: 2*i*(i + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + p - 10 = 0, 3*b + 6 = -4*p - p. Let t be b\/4 - (-45)\/10. Suppose -49 = -t*i + 15. What is the greatest common factor of i and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.772 + -0.228. Which is the closest to w? (a) 0.08 (b) -1\/4 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 + -6. Suppose -2*c - 7 = -x*i + 31, -c = i - 11. Let o = i + -29\/2. Which is bigger: o or -3\/4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 0*t = -43. Let v(m) = m**2 + 7*m - 14. Let f be v(-13). Let h = f + t. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(18\/(-720)*12).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1019 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: Calculate the highest common divisor of 9307 and 82.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 AM and 4:27 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104*g - 54*g - 108*g + 2564240 = 0. Calculate the highest common factor of g and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 136 - 132. Which is the closest to g? (a) -0.5 (b) 4 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 4, -17.932, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36863501?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(35\/((-160)\/(-32)))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -540 (base 6) to base 4\nAnswer: -3030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -115 + 244 + (65 - 138).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of -2*u**3\/3 - 25*u**2 + 168*u + 1577. Factor i(c).\nAnswer: -2*(c - 3)*(c + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -60157\/13 - -4625. Find the common denominator of -31\/8 and m.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 287638315?\nAnswer: 5, 103, 558521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 11461 (base 12) in base 3?\nAnswer: 1011201001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, -1, 378, 3, -230, 4 in decreasing order.\nAnswer: 378, 4, 3, -1, -3, -4, -230","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 n when three letters picked without replacement from mnmm.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/4))**23*(h\/(h*(((h**7\/h)\/h)\/h)\/h)*h)\/(h**(1\/6)*h) assuming h is positive.\nAnswer: h**(31\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1064.036 - 1067. Let s = 100 + -103. Let k = h - s. What is k rounded to two decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/26700 and 139\/99450.\nAnswer: 17702100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 + -5. Let t(f) = -f**3 + 5*f**2 + f - 3. What is the units digit of t(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 293 = -6*f + 3125. What is the greatest common factor of f and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 44 = -r + 14, -5*u = -5*r for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l**2 - l**2 - 2*l**2)*(0 + 1 + 0) + 2*l - 2 - 2*l + 5*l**2.\nAnswer: 2*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from exrxeet. Give prob of picking 1 x and 1 t.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 21 = 5*d. Let z(i) = 10*i - 4 - 13*i**2 - 4 + 0*i**3 + 4*i + i**d. Let o be z(12). Solve -19 = -5*y - a, -2*y - a + o = 2*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of 0*w - 314 - 69\/14*w**4 + 0*w**2 + 529\/7*w**3 + 3\/35*w**5. Factor q(a).\nAnswer: 3*a**2*(a - 23)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31261937257 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2. Let h(y) = -18*y**2 - 10*y + 6. Let i(t) = h(t) - 2*v(t). Suppose 0*w + 9 = -w. Let a be i(w). What is a rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 4*h - 3*h - 9 = 0, -2*s = -3*h - 7. Suppose 0 = s*b - 3*b + 307. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -529, -1055, -1581, -2107, -2633?\nAnswer: -3159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of 0 + 1\/70*w**5 - 4\/21*w**3 + 0*w + 0*w**4 + 3*w**2 - 1\/420*w**6. Let g(y) = 0. What is y?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2 - 34812*c + 7188346.\nAnswer: 2*(c - 17197)*(c - 209)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 + 11. Suppose q - g*h = -4*h + 2, 0 = q + 3*h. Find the third derivative of 3*u - 2*u**2 + 3 - q + 43*u**6 + 0*u**2 wrt u.\nAnswer: 5160*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73977193 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.133 times -0.4\nAnswer: 0.0532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 12:52 PM?\nAnswer: 5:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1427 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 99821 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -219 * -4920\nAnswer: 1077480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 275*g**3*z - 282*z wrt g?\nAnswer: 825*g**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 37649 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 531*n**2 - 92*n**2 - 86*n**2 - 95*n**2 - 86*n**2 - 95*n**2 - 92*n**2.\nAnswer: -15*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes after 8:04 PM?\nAnswer: 10:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + 683171 - 1913171. What is k rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4142721790 to the nearest 100000.\nAnswer: -4142700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -2*n**2 + 15*n - 7. Let m be r(6). Let s(j) = -13*j**3 + 11*j**2 + 11. Let l(u) = 7*u**3 - 6*u**2 - 6. What is m*l(x) + 6*s(x)?\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**2 - v + 1. Suppose 5*n - 32 = 28. Let h(m) = -5*m**2 + 5*m + 2. Let c(y) = n*p(y) + 3*h(y). Factor c(f).\nAnswer: -3*(f - 3)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 1 - 13*q + 55*q - 10*q - 12*q + 4*q**2 - 13*q. Let v(i) = -3*i**2 - 6*i - 1. Determine 6*v(o) + 5*z(o).\nAnswer: 2*o**2 - o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wexew. What is prob of sequence wxe?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 77924?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1679482, -3358975, -5038474, -6717979, -8397490?\n\"Answer: -3*a**2 - 1679484*a + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/702 and -71\/39600?\nAnswer: 1544400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 211*x - 207*x + 20 = 0. Let b(a) = -a**3 - 5*a**2 + 2*a + 2. Determine b(x).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2106 - -4933. Let i = t + -1957. What is the hundreds digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*y**21)\/((y\/(y\/(y\/y**(-17))))\/y)*y\/y**(10\/3)*y**7 assuming y is positive.\nAnswer: y**(32\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -111 (base 3) to base 5\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -18178 (b) 2 (c) -0.1 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6570743041 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -395825*p**3*r**3*w - 64179*p**3 - p**2*r**3 wrt w?\nAnswer: -395825*p**3*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*h + 4*t, 0 = -13*h + 17*h - 3*t + 11. Suppose 3*q + x + 1 = 0, 3*q = -3*x - 2*x + 19. Sort -3, 2, h, q.\nAnswer: h, -3, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 107 = -50 - 6 for x.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -334 + -114?\nAnswer: -451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1672 a factor of 11752587?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -2*t**2 + 51. Let n(g) be the second derivative of g**4\/6 + 309*g. Determine l(n(j)).\nAnswer: -8*j**4 + 51","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 6:19 PM?\nAnswer: 1:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12622352 or 37867060\/3?\nAnswer: 12622352","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vo when two letters picked without replacement from {x: 1, s: 1, v: 5, n: 1, o: 1}.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1439 - -1440. Suppose 1 = -2*v + 5. Solve b = 4*g - i + v, -15 = 5*g - 4*i for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -136, -288, -428, -550, -648, -716?\nAnswer: -748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 + 5*j - 6. Let x be o(-6). Suppose x + 16 = -2*n. Let k(f) = f**3 + 8*f**2 - f. List the prime factors of k(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 417 + -436.27. What is c rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 35421.221808 - 35777.22181011. Let h = 356 + r. What is h rounded to seven decimal places?\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -65693.3103 rounded to the nearest one thousand?\nAnswer: -66000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -11022, -22044, -33066, -44088, -55110?\n\"Answer: -11022*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (1 + 3 + 33 + -37)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1e9 - -1b45b?\nAnswer: 1b272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**10\/n)**(-48)*(n**4)**2 assuming n is positive.\nAnswer: n**(-424)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of -4*b**3\/3 + 8*b**2 + 48*b + 21. Let g(q) = 0. What is q?\nAnswer: -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, f: 2, n: 1, p: 3, d: 1, s: 4}. What is prob of sequence dff?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -13*d*n - 957415*d - 42*n + 71720 wrt d?\nAnswer: -13*n - 957415","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3534*y + 17298\/5 + 374\/5*y**2 + 2\/5*y**3.\nAnswer: 2*(y + 1)*(y + 93)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8742.167cm in nanometers?\nAnswer: 87421670000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2522454?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 2*g = 492. Suppose -13782*a + 13739*a = -1462. What is the remainder when g is divided by a?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6\/13 in -1562, -2\/11, 2, 5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -94392 or -92233?\nAnswer: -92233","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 9 = -39. Find the common denominator of ((-64)\/(-120))\/(1\/y) and -17\/7.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (45\/10)\/((-6)\/8). Let a be y\/9 + 3\/(-36). Which is bigger: -1 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -15*(3\/(-12) - 36\/240). Solve j = 2*q + 5, -q - q - y = -2*j for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8829695 is divided by 64.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + a - 3*a)*(93 - 54*a**2 + 87 - 179).\nAnswer: 108*a**3 + 54*a**2 - 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**2 + 11*k + 662. Give s(-21).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(88) + -3*(sqrt(88) + (sqrt(88)*2 - sqrt(88))) + sqrt(88) + (sqrt(88) - (1*sqrt(88) - sqrt(88))*2))\/(-2*sqrt(32)\/sqrt(4)*-4)*-3.\nAnswer: -27*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the third derivative of -16*q**7\/105 + q**6\/6 + q**5\/5 + q**2 - 118. Solve f(x) = 0.\nAnswer: -3\/8, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m + 10. Give x(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) -1.4 (c) 3 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-70)\/(-40) - 2\/(-8) - 73. Suppose -21*v = -5*v + 944. Let b = v - z. Calculate the remainder when 33 is divided by b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((12320\/16)\/14)\/5. Solve 26*b = 171 + u for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-27)\/162)\/(2\/4)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h + 4*h + h)*(2*h**2 + 94*h - 13 - 94*h).\nAnswer: 2*h**3 - 13*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 11246371 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 57 + 301. Let y = -241 - f. List the prime factors of y.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand s**5 - 4*s**5 + 0*s**5 + (0*s**5 - s**5 - 2*s**5)*(0 - 3 + 1) + 0 + 3*s**5 + 0 + 2*s**5 - 4*s**5 + 0*s**5.\nAnswer: 4*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -11.3 (b) 31\/3 (c) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110244343?\nAnswer: 11, 887, 11299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -542*j**5 - 332*j**2.\nAnswer: -32520*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -v**4 + 25229*v**2 - 7783*v + 2 wrt v?\nAnswer: -12*v**2 + 50458","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 153*z**2 + 26*z**2 + 5 - z + 1.\nAnswer: 179*z**2 - z + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2628 divided by -2628?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5, 25, -31 in decreasing order.\nAnswer: 25, -1, -5, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 + 10. Let x be 3*4\/6 - 1. Let t = x + b. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * 2920521.\nAnswer: -584104.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 25, 3\/4, 2\/37, 2\/815?\nAnswer: 2\/815","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 974361757 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 6 = -2*b, -7*w - b = -2*w + 15. Let x(u) = -u**3 + 9*u + 14. Let j be x(w). Is (1 - 49\/(-2))\/(j\/56) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 5*c + 8 = g, 5*c + 3*g = -27. Let h be (-1 + c + 4)\/(-2). What is the third derivative of u**6 + h*u**4 + 0*u**6 + 0*u**4 + 3*u**2 wrt u?\nAnswer: 120*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of q**2 + 69. Let x(a) = -317*a. Determine x(r(s)).\nAnswer: -634*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -3*d + 100. Let l be z(31). Let b(y) = y - 11. Give b(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 14) to base 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1\/5)*j)**9)**39 assuming j is positive.\nAnswer: j**(1404\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 31907*q**2 - 3*q. Let m(p) = -2*p**2. Determine f(m(s)).\nAnswer: 127628*s**4 + 6*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 17\/6 of a day?\nAnswer: 68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3792649418?\nAnswer: 2, 2341, 810049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -78*z + 1982. Let r be w(15). What is the greatest common divisor of 14 and r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 28\/5 in 0, 0.1, 5, -5, 1\/192?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 0*c - 22 = 0. Suppose -c = w - 22. What is the remainder when -129*((-4)\/3 - -1) is divided by w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(2057)*1*3)**2 + 1)*5*4.\nAnswer: 1320*sqrt(17) + 370300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-53 + 5290\/46)\/((2\/21)\/2). Is v smaller than 1303?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 + 12*k + 1 + 81*k**2 + 3 - 82*k**2 + k**3 to the form f*k**2 + a + v*k + z*k**3 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*m = -7*m + 192. Suppose -5*v + 22 = -4*v. What is the remainder when v is divided by m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3816334 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 127181.2 kilograms in nanograms?\nAnswer: 127181200000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*2 - (-9)\/2*2. Let y(q) = -2*q**2 - 5*q + p*q + q**2 - 13 + 9*q. Determine y(10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -0.4, 2\/17, 80 in increasing order.\nAnswer: -0.4, 2\/17, 0.2, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -12\/1005967 and 37\/419813.\nAnswer: 53316251","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of -141*s**5 - 1222*s**3\/3 + s**2 - 3*s - 5301. What is the third derivative of d(q) wrt q?\nAnswer: -16920*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -130367, -260858, -391347, -521834, -652319, -782802?\n\"Answer: q**2 - 130494*q + 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -385, -1400, -3191, -5758?\n\"Answer: -388*a**2 + 149*a - 146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 51 + -49. Suppose -4 = -v*d - 0. Solve 2*j - 20 = -5*q, d*j + 8 = q + q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:47 AM and 1:31 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-74)\/4)\/(3\/6). Let o = 56 - j. Let m = -14431 + 14450. What is the remainder when o is divided by m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -102.8959 to 1 dp.\nAnswer: -102.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-20)\/(-30) + 74\/6 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -5*y + 41, y + 2*y + k = 23. Let o = y + -3. Suppose -4*s - o*i + 4 = 0, 5*i + 40 = s + 3*s. Which is the smallest value? (a) -4 (b) -0.3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*p - 4*p + 2*n + 2, 4*p = 5*n - 7. Suppose 1 = -2*q + 5. Is q at most p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 9:09 PM?\nAnswer: 2:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*z - 705*z + 4*t - 3348 = 948*z - 156*z, 0 = -5*z - 5*t + 255 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*n - 11 - 47*n + n**2 + 57*n + (2*n - n + n)*(-n + n - n).\nAnswer: -n**2 - 2*n - 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n**4 - 4*n**2 + 4*n**2 - n**2 - n**4 + n**2 + (-2*n**3 + 35*n**3 - 6*n**3)*(-59 + 59 + 8*n).\nAnswer: 214*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25546?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-8) + 1)\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(125) + -1*(sqrt(125)*-1 - sqrt(125)))**2 - ((sqrt(125) - (sqrt(125) + 0) - sqrt(125))*4 - sqrt(125))**2) + ((0 + sqrt(125) + 2)*-3)**2.\nAnswer: -839 + 180*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -2*m**2 + 865*m - 21234. Determine s(27).\nAnswer: 663","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 8. Suppose -2*i + 8 = s*i. Let h = 10 + 0. What is the greatest common factor of h and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) -6.325 (c) -0.4 (d) -2 (e) -4\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 7)*(-29*o - 21*o + 5*o).\nAnswer: -135*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2176 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: How many weeks are there in 623260.47 days?\nAnswer: 89037.21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -415, 166.2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -29.93 + 27.93. Let h be 3\/(-9) + (-22)\/24. What is the smallest value in h, 1, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**2 + 9*l + 11. What is a(7)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 20517 take away 85898?\nAnswer: -65381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + -30101020?\nAnswer: -30101020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 149 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 2397 divide 15266493?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2336 and 2482.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 345316910 is divided by 99172.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 487966487 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-61*f - 2*f + 13*f)*(4*f**2 - 2*f**2 - f**2) - 3*f**3 + 4*f**3 - 2*f**3.\nAnswer: -51*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 79466?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29546 is divided by 435?\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 28.3 + -6.006726875.\nAnswer: 22.293273125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 PM and 1:52 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-28)\/(-6)*(-133)\/(10241\/(-22)))\/((-20)\/(-6))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k**4\/2 - 33*k**3\/2 - 54*k**2 - 24*k + 96 = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1231869+0.4\nAnswer: -1231868.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -212 + 225. Calculate the remainder when 39 is divided by p.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) -3\/5 (c) 0.01 (d) -60\/37 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 2*o = 0, 0 = 3*v - 2*o - 2 + 6. Let m be (1\/2)\/((-3)\/2). What is the closest to v in -0.3, -4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*2\/(6\/(-3))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(1 + sqrt(405)) - ((0 + sqrt(5))*6)**2*-5.\nAnswer: -45*sqrt(5) + 895","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 2 + 2)*(-2*l - 2*l + 5*l) + (4*l + 0*l - 2*l)*(0 - 3 + 2).\nAnswer: 10*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 3 = -2*i, 2*i + 3*h - 7*h = -6. Solve -i = -k + 4*c, 4*k + 8 = c - 5*c for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14640.2+0.3\nAnswer: -14639.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -45366, -181444, -408234, -725736, -1133950, -1632876?\n\"Answer: -45356*f**2 - 10*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -721*d + 8429 + 10483 + 14254 = 0 for d.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20784 - -23444. Calculate the greatest common factor of 700 and s.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/5 and 233\/70980?\nAnswer: 70980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 AM and 6:06 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 28 + -26. Suppose 14 = c*n - 8. Put -5, n, -4 in ascending order.\nAnswer: -5, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.1388166 - 0.13738. What is f rounded to 5 dps?\nAnswer: 0.00144","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 6 = -3*j, -2*v + 5 = 4*j - 1 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 0.74 (c) -2\/9 (d) -0.15 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 196 - 672 = -5*j, 0 = -4*j + r + 378. Suppose 4*s = u + 2*s - j, -5*u = -4*s - 494. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 + 3*x + 2. Let u be r(4). Let m = -664241 - -8639160\/13. Let i = 309 - m. Which is greater: i or u?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5362.99985773 - 5363. Round m to 4 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.9 plus -7.4893159?\nAnswer: 3.4106841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 5, f: 9}. What is prob of picking 4 f?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 - 15184*d + 106240. Give p(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -5*p - 30. Let d be j(-5). Sort 4, -2, 1, d in descending order.\nAnswer: 4, 1, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -20690*x**2 - 558673*x - 1164. Give h(-27).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.2 - 1. Let c = -1817.5531 + 1815.3530991. Let r = c + i. Round r to seven decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s\/s**7*s*s*s*s)\/s**(-15)*(s\/(s\/((s**6*s)\/s)))**(-5\/3) assuming s is positive.\nAnswer: s**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -5*n**3 - 3*n**2 - n + 1. Give d(-2).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 199 divided by 7\nAnswer: 199\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100*o - 95*o**4 - 465*o**2 + 182*o**3 + 19 - 375*o**5 + 953*o**3 + 1 - 9*o - 111*o = 0. What is o?\nAnswer: -2, -1\/3, 2\/25, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3435661 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 15047399 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 82 + -99 - (-1 - 16). Let n(d) be the second derivative of -1\/6*d**4 + b*d**2 + 0*d**3 - 16*d + 0. Let a(m) = -7*m. Determine a(n(j)).\nAnswer: 14*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -1728 equal to -1725?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**4 + 42*f**3 - 108*f**2 + 102*f - 33.\nAnswer: -3*(f - 11)*(f - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 132 (base 7) to base 11\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -3*b + 233, 3*b + 46 = n - 15. What are the prime factors of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -222 bigger than -1.083?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1594392?\nAnswer: 2, 3, 31, 2143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 2*q. Let c(o) = -1 + 20*o**2 + 23*o**2 + 4*o**2 + 27*o**2 - 8*o**2. What is p(c(d))?\nAnswer: 132*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/(-1) + 0)*0. Let l(g) = -g + 0*g**2 + 23 + g**2 - 2*g**2 + 2*g**2. Calculate the remainder when l(y) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 86706*j*r**3 + 1269630*j*r**2 + j*r - 7*r**3 wrt r?\nAnswer: 520236*j - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33\/(-484)*5\/((-30)\/16).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1136 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -14 (base 8) to base 2\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.5 in -4, 76, 2014?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 + 82 = 26*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -54 (base 6) to base 2\nAnswer: -100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15727 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6\/(-9) + 1)\/(4\/9444). Let y = -475 + i. Suppose -3 = u, 0 = -2*h + u - 5*u + y. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(4\/3)*j)\/j**(1\/22)*j**(-25)\/(j*j**17))**13 assuming j is positive.\nAnswer: j**(-34931\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 246776?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence meke when four letters picked without replacement from kukmecuxxuukkkkekkm?\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47.063931828388 + 14.\nAnswer: -33.063931828388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 26*h - 37 - 101 - 122 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 + 11. What is the lowest common multiple of 14 and (-16)\/(-24)*j*1?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 + 0)\/((-4)\/4). Suppose 21*c - 26*c + 1390 = m. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: 0.617 times -299444\nAnswer: -184756.948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 503322, 1006223, 1508702, 2010759?\n\"Answer: -211*g**2 + 503534*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 - 9*o + 2. Let n = 4 + -13. Let p be k(n). Suppose p*x - 5*x + 189 = -3*w, 0 = -x - 2*w + 69. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7e2 (base 15) to base 3.\nAnswer: 2110012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 16*k**4 + 4*k**3 + 66*k**2 - 4. Let x(i) = 15*i**4 + 4*i**3 + 68*i**2 - 3. Let s(r) = -4*x(r) + 3*y(r). Find the third derivative of s(p) wrt p.\nAnswer: -288*p - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158436 to the power of 1\/2, to the nearest integer?\nAnswer: 398","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and 30868?\nAnswer: 6173.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 637641469?\nAnswer: 79, 8071411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.6, -0.2, 3, 4, 19 in decreasing order.\nAnswer: 19, 4, 3, -0.2, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 2*h = 3989992, -2*h = -5*s + 2*h - 19949984. Round s to the nearest one hundred thousand.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -61.\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, d: 1, q: 1, n: 1, i: 1}. What is prob of picking 1 i and 1 d?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -308 - -2158\/7. Sort w, -0.2, -1\/9, 1 in increasing order.\nAnswer: -0.2, -1\/9, w, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 16, -18, -82, -182, -324, -514, -758, -1062?\n\"Answer: -u**3 - 9*u**2 + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1115607 (base 12) to base 4.\nAnswer: 30131020213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 924421 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 775*v - 295 - 3580 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 507 and 101829?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 213475?\nAnswer: 5, 8539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1094, -4653, -10672, -19151?\nAnswer: -30090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 1:21 PM?\nAnswer: 11:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(171)*-2 + 0 - sqrt(171).\nAnswer: -9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*(z\/(z*z*z\/(z*((z*z*z*z\/(z**(-13)*z))\/z)\/z)*z))\/z*z*z*z)**(2\/11)*(z**15)**(9\/7) assuming z is positive.\nAnswer: z**(1695\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5686399?\nAnswer: 5686399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 56968873 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12*s**2*w**2 - 2*s**2*w + 121463*s**2 + 7143*s*w**2 + 1 wrt w?\nAnswer: -24*s**2 + 14286*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -355.008572 + 355. What is o rounded to 3 dps?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/1*(1 - 2). Let j = -0.0126 - 2.9874. Sort -1\/5, j, g in descending order.\nAnswer: -1\/5, g, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 89005 = 3*s, -32*k = -28*k - s - 88993. Let h = 42338 - k. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3, 6, -368987, -5 in increasing order.\nAnswer: -368987, -5, -3, -2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 6:07 AM?\nAnswer: 10:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6579\/40 + 828\/5. Which is greater: 0 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1674145605 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*u - 1 - 40 - 9 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5*342610*(29 + -18 + -7). What is s rounded to the nearest 10000?\nAnswer: 6850000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 57753?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4754, 4746, 4738?\nAnswer: 4730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -64*c**3 - 56*c - 56. Let s(u) = u**3 + u + 1. What is -224*s(d) - 4*v(d)?\nAnswer: 32*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 1, 1\/10, -4, -0.03?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2*69395005 - (19 - 29). What is t rounded to the nearest one million?\nAnswer: -139000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 534815 = 534832?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1201*j - 6376 = 1193*j. Is 34 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -34021230*q**4 + 15656616 wrt q.\nAnswer: -136084920*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 0, -3*z - h - 6 = -18. Solve z*q + 4 = 16 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s**2\/9 + 29158*s\/3 + 262260 = 0.\nAnswer: -43710, -27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -98 (b) 20 (c) -0.2 (d) -1 (e) -2 (f) -69 (g) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4338?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 49 + -47. Calculate the smallest common multiple of 7 and d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-87)\/(-15) + 2\/10. Let k(y) = -y**2 + 8*y - 6. Let t be k(u). Suppose -4*o - 12 = -t*o. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 242\/(-44)*225\/(-165)*2\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 675*a**3 - 3*a**2 - 2.\nAnswer: 4050","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**2\/3 - 9013165*g\/3 - 6008770.\nAnswer: -5*(g + 2)*(g + 1802631)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 35*j**4 + 4*j**3 + 4*j**3 - 63*j**4 = 0. Calculate j.\nAnswer: 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 24 + 12 = 4*x, 2*x + 2*n = -8 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 + -4. Suppose 2*s - x - 2*x - 77 = 0, 3*s + 3*x = 108. Let q = -112\/3 + s. What is the nearest to v in -1, -0.4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 3 i when four letters picked without replacement from subahhaiihis.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k + 2. Let w be s(7). Suppose 0 = -9*d - 0 - w. Let m(f) = -f**3 + f**2 + f - 1. Let v(z) = -6*z**3 + 5*z**2 + 7*z - 5. What is d*v(r) + 5*m(r)?\nAnswer: r**3 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 63277.63 centuries?\nAnswer: 632776.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10116*k - 952716 + 254712 = 0 for k.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*s = 194*s - 696 + 2736 + 291 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3926*o - 289*o + 24212 = 2390 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3 - 8)*(-6 + 224\/35). Suppose -7*u + 2*u = 2*s + 9, 18 = -u + 5*s. Put u, o, 16 in ascending order.\nAnswer: u, o, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31485 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 32107 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11 or 2\/17592027?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(275) - (sqrt(275) + 1) - sqrt(11) - sqrt(44)*1) + 1 + (2*sqrt(704))**2*-2.\nAnswer: -5628 - 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 246705?\nAnswer: 3, 5, 16447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(28) - sqrt(448)))\/(sqrt(175)*1))\/((-3*sqrt(72)*2 + sqrt(72))*-5).\nAnswer: sqrt(2)\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 619919?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b + 0*b + b**2)*(b - 2*b + 2*b)*(3 - 1 - 9).\nAnswer: -7*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -5*z**2 - 3. Let x(s) = -6*s**2 - s - 2. Let c(k) = -7*f(k) + 6*x(k). Let y be c(-7). Factor -2\/5*m**y + 2\/5*m + 0.\nAnswer: -2*m*(m - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 - l**2 + 2*l. Let m = 1 - -1. Let h be y(m). Suppose 3*i + 2*q - h = 0, 2*i + 10 = 7*i + 5*q. Let f(p) = p**2 - 5*p + 3. Determine f(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + a - 3 - 5, 3*t - 5*a = 48. Calculate the remainder when t is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/18792 and 41\/48?\nAnswer: 37584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 546297090?\nAnswer: 2, 3, 5, 61, 137, 2179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4043971 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2*x - 3*x**2 - 2*x**3 + 3 + 4*x**3 - 3*x**3. Suppose -3*r + 7 = v + 3, 0 = 2*v + 4*r - 8. Suppose v*w + 4 = 2*w. Give d(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2588340.\nAnswer: 2, 3, 5, 179, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 1706 = -6*g + 53*w, -3*g = 2*w - 147 + 205 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 6:49 AM?\nAnswer: 9:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9164 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 - 6*d**2 + 7*d + 9. Let w be i(-7). Suppose 9*p - 1944 = -w*p. Is 17 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -3*p**2 + 3*p. Let d be i(2). Let n(j) = -j**2 - 10*j - 9. Determine n(d).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5397.754 - 5389. Let d = -3.461 + p. Round d to one decimal place.\nAnswer: 5.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 6*v - 1. Let b(m) = m - 4. Calculate 5*b(o) - h(o).\nAnswer: -o - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -46611, -4 in decreasing order.\nAnswer: 3, -4, -46611","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, a: 3, f: 2, r: 8}. What is prob of picking 1 n, 1 a, and 1 f?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 145276 + 0.88.\nAnswer: 145276.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -731 divided by 463403\nAnswer: -43\/27259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 241 = -221*u - 430*u - 36866 for u.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*v**3 - 3*v + 3*v)*(-7908*v + 165742 - 165742) to h*v**3 + c*v + a*v**2 + i + k*v**4 and give k.\nAnswer: -15816","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -14, -1, 2 in decreasing order.\nAnswer: 2, -1, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 99765.6 rounded to the nearest 1000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 128 = -3*y + 237, -5*y - s = -613. Let t = -114 + y. What is the least common multiple of 86 and t?\nAnswer: 774","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 297523 is divided by 1635.\nAnswer: 1588","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 k when four letters picked without replacement from {d: 1, a: 5, x: 4, k: 5}.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6775421722?\nAnswer: 2, 37, 179, 511507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 486 and 154062.\nAnswer: 154062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 - 8*w + 1. Let y(v) = -v**2 - 22*v + 42. Let i be y(-24). Determine p(i).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, 0, 0.3, 3\/4, -1920 in ascending order.\nAnswer: -1920, 0, 0.3, 3\/4, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0041054522 to 6 decimal places.\nAnswer: 0.004105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 - -5. Let h(m) = m**3 + 5*m**2 - 2*m. What is the common denominator of (-259)\/(-63) + 0 - 4 and h(p)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 115\/3774 and 15\/8.\nAnswer: 15096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.7 + -1.3. Let c = -2\/7 - -13\/21. What is the closest to 1\/3 in c, d, 3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8577231, -17154454, -25731677?\nAnswer: -34308900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = 4*a + 78, 14*a + 1987*m - 1991*m + 130 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20, 53, 92, 131, 164, 185?\nAnswer: 188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-5) - (-824)\/2160. Suppose -w - 3*z = -2*w + 12, 0 = -2*w - 2*z - 8. Which is greater: j or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 34 (b) 0.4 (c) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 31120302 + -2?\nAnswer: 31120300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3036 to the power of 1\/2, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -17 equal to -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*d - 1561 = -63. What is the remainder when 960 is divided by d?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 582 a factor of 7833725?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2008 - 18073\/9. What is the nearest to 15 in z, 1\/6, -2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 x when three letters picked without replacement from llxlfxfxlxiyfi?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -33, -128, -355, -774, -1445, -2428?\n\"Answer: -10*v**3 - 6*v**2 - 7*v - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17411233?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.239 + -0.061. Let x = -1.3 + 5.3. Let c = 3 - x. Which is smaller: r or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -561 divided by -1?\nAnswer: 561","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 117116033 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 - 9*t**2 - 10*t - 17. Let p be y(-8). Let z be 0 + (1*p)\/((-4)\/(-24)). Is -5 at most as big as z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(39)\/sqrt(3) + -1 + -2))**2.\nAnswer: -54*sqrt(13) + 198","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/11, -8, 9?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -127 (base 15) to base 4.\nAnswer: -10012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 207369 is divided by 12859?\nAnswer: 1625","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 2 - 1)*(0 - 2 + 0)*(6 - 6 + 8*s) as y + a*s and give a.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.3 and -695.\nAnswer: -694.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 28130481 a multiple of 1196?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 - ((-7 - -5) + -16).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 460*o**3 - 3*o**2 - 52*o + 5. Let x(u) = -231*u**3 + 2*u**2 + 27*u - 3. Let d(n) = 4*i(n) + 7*x(n). Find the second derivative of d(z) wrt z.\nAnswer: 1338*z + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 33*z**2 + 265*z. Give t(-8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3 + 116106*s**2 + 5569632*s + 66821760.\nAnswer: 2*(s + 24)**2*(s + 58005)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*j - 10*j + t + 11*t - 15*t - 72, 95 = -5*t for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 - -4. Suppose 193*f - 9603 = -178*f + 274*f. What is the least common multiple of f and m?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 4*m - 7412, 0 = 19*m - 15*m + k - 7420. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 12*y. Let o(b) = 168*b**2. What is o(c(k))?\nAnswer: 24192*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 3 - 5 + 8*k + 1. Let g(i) = -17*i + 1. Let n(y) = 4*g(y) + 9*h(y). Differentiate n(v) wrt v.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3104817, 3104819, 3104821?\nAnswer: 3104823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.1, -0.2, 47?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 121.338799 rounded to zero decimal places?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 5*r - 6. Suppose 6*v + 15 = 9*v. Suppose -2*t = -v*c + 1 - 31, -4*c = -5*t + 75. Calculate the remainder when t is divided by r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/4499 and -1\/88?\nAnswer: 35992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-7)\/(-28) - (-2062)\/8. Let y = r - 136. What is the smallest common multiple of y and 22?\nAnswer: 1342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -156 + 234. Calculate the least common multiple of q and 6.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 3*k - 32 = 0. Suppose k*g - 1348 = 6*g. Let p = g - -1413. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of -w**5\/4 - w**4\/6 - w**3\/3 - w**2\/2 + 4*w. Let z be q(-1). Sort -3, z, -5, 1 in ascending order.\nAnswer: -5, -3, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times -16889?\nAnswer: -3377.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 PM and 4:06 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 55751968.79420865 - 55752477.62. Let r = -478.825792 - y. Let l = r - 30. What is l rounded to 7 dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9520907 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-1 - 0) + -3. Let n = -1598 - -1599. Sort 1\/2, n, o in decreasing order.\nAnswer: n, 1\/2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(1872) + sqrt(52)*2)**2.\nAnswer: 20800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 167566901917 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the third derivative of -t**7\/315 - 19*t**6\/180 - 13*t**5\/10 - 33*t**4\/4 - 30*t**3 - 368*t**2. Find a such that k(a) = 0.\nAnswer: -10, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**3\/2 + 375*q**2\/2 + 864*q - 4320.\nAnswer: 3*(q - 3)*(q + 8)*(q + 120)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -62 - -10162?\nAnswer: 10100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 503*y - 246216 = -233138 for y.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (84\/6)\/(-826)*38\/19.\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13\/3 or -3?\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 35551697 rounded to the nearest one hundred thousand?\nAnswer: 35600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11532 = -18444*c + 18630*c for c.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 33735792 a multiple of 114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.021, 1 in descending order.\nAnswer: 3, 1, 0.021","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*((-1)\/2 - (-4165)\/70)?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2*s + 31. Let b be x(-17). Let m be (b\/48)\/1*92726. Let r = m - -5787. Calculate the common denominator of r and 67\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/609 and -40\/1476419.\nAnswer: 4429257","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (8 - 2 - 1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 24 - 273197*o + 273196*o - 9 + 11. What is h(5)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4777 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1016 + -493. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/b**(-4\/5))*b)\/(b\/b**(8\/7))*((b\/(b\/((b**(2\/5)\/b)\/b)))\/b)**(-3\/19))**(-35) assuming b is positive.\nAnswer: b**(-501\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 312141785?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 615495 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-93)\/(-12))\/(1\/4)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -5451\/16, -1\/7, -27, 0.4?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/(-10) + 99\/15. Suppose 0 = -p, -m - 2*m - 3*p = -x. Suppose 5*n + 10 = 0, 2*v - 13 = -m*n + 39. Solve -8 = 3*k - 4*y, 4*y = -2*k - 0*k + v for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3075 + 829a2?\nAnswer: 7b929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.5 (b) 13 (c) 890 (d) -5\/3 (e) -3\/2 (f) -2.3 (g) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5132*t**6 - 19*t**5 + 2*t**4 - 681840*t**2 wrt t?\nAnswer: 615840*t**3 - 1140*t**2 + 48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 52842?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**3 + 2*n**3 + 2*n**3)*(5 - 4 + 0 + (1 + 2 - 2)*(48 + 51 - 120)*(4 + 1 - 4)).\nAnswer: -40*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 390.3 + -390. Which is the nearest to u? (a) 4\/7 (b) 3\/2 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 21949*j*l**3 + 15*l**3 + 2*l**2 + 5663 wrt j.\nAnswer: 21949*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 0, 3\/4, 47?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -1 + 2 + -1 + -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.1 (b) -1 (c) -6\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18253438, -18253436, -18253434?\nAnswer: -18253432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*s + 4*s + 112. Let n be ((-14)\/s + 1)\/(151\/604). Let c = 96\/385 - -2\/55. What is the biggest value in 0.23, n, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -316 - -342 - (26 + -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -17\/4? (a) 3\/2 (b) 26 (c) 2\/29 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 + -10. Suppose -5*n + r*h = -580, -h + 3*h = -4*n + 438. Is (4 - (0 + 1)) + n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(396) + -6*(sqrt(396)*1 + sqrt(396)) + -3) + (-4 + (sqrt(396) + (sqrt(396) + -1)*5 - (sqrt(396) + 1 + 4 + sqrt(396))))**2.\nAnswer: -408*sqrt(11) + 6544","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 426757 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6a775 (base 11) in base 8?\nAnswer: 307305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1139 * -1213\nAnswer: 1381607","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 21710940751 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 PM and 7:25 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 42*k + 35 + 91 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 23591778?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -2*l**2 + 927*l + 3740. What is z(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes after 7:37 AM?\nAnswer: 10:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -65054323 to the nearest one hundred thousand.\nAnswer: -65100000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: 255124 (base 6) to base 15\nAnswer: 6ce4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37234 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(66) + sqrt(66))\/sqrt(2))\/sqrt(11).\nAnswer: -sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxwxxxxxxxxxxxx. What is prob of sequence xx?\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5020.906 millilitres to litres.\nAnswer: 5.020906","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 385 a factor of 20068125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10448561, -10448556, -10448547, -10448534, -10448517, -10448496, -10448471?\nAnswer: -10448442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1 + (5 - 5))\/(50675\/8446 - 6).\nAnswer: 2, 41, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -474 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -12792 (c) -1\/2 (d) -3 (e) -149\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 - -24279071847?\nAnswer: 24279071846.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5\/(25\/18) - (-9)\/(-15). Suppose 0 = l - 5, -6 = 2*n - j*l - 29. What is the remainder when 35 is divided by n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*(d*d*(d*d\/(d\/(d\/(d**(-1)\/d*d)*d)))\/d*d)\/d*d)\/(d**17*d))\/((d*d**(1\/3))\/d)**5 assuming d is positive.\nAnswer: d**(-38\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 343 - 343 + 3*m**2 + (-5*m + 3*m + 4*m)*(4*m - 3*m - 2*m) + m**2 + m**2 + 0*m**2.\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19919745 and 2956?\nAnswer: 739","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 43\/4 of a kilometer?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*s - 15*s - 45 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 387765 divided by -5\nAnswer: -77553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 2*d = -360, -4*d = 4*l - 2*l - 144. What is the common denominator of -43\/14 and (-2)\/l*(-48 - -2)?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 903167.\nAnswer: 97, 9311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 - (-1 - (-695006 + 3)). What is z rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48064?\nAnswer: 2, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-55)\/231)\/(2\/14)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (3\/6)\/(3\/(-9)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 4\/5, 3, -1, 0.03, -2441 in decreasing order.\nAnswer: 3, 4\/5, 1\/2, 0.03, -1, -2441","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*j**6 + 1193*j**5 + 3*j**4 + j**2 + 114228*j wrt j?\nAnswer: -240*j**3 + 71580*j**2 + 72*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 - (32 + 29 + -99).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -1079*x. Let q(b) = -b**2. Calculate q(g(l)).\nAnswer: -1164241*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 54121 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1b + b?\nAnswer: 2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -495 - 544 = -5*y + 2*v, -4*y + 824 = 2*v. Calculate the highest common factor of y and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 0*r - 4*r - 99 = 0, 5*r - 101 = -4*x. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9672905?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 14. Suppose o = 3*b, 0 = -2*m + 4*b - b - 4. Suppose m*f - 333 = f. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*s - 6 - 3 - 2 + 17 to b*s + j and give j.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-272*t + 113*t + 2 + 126*t)*(-5 - 1 + 4).\nAnswer: 66*t - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 PM and 4:28 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 1 = 0, 2*l + l + 78 = 3*x. Suppose -200*q + 4236 + 12164 = 0. What is the remainder when q is divided by x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -3 and 1567.8.\nAnswer: 1564.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 28496386 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -4*s - 43. Let w be z(-13). Let h(j) = -23*j**2 + 13. Let k(q) = 6*q**2 - 3. Let d(a) = w*k(a) + 2*h(a). Let i(t) = -2*t. Determine i(d(v)).\nAnswer: -16*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and 303.979.\nAnswer: 911.937","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) 5 (b) -2 (c) 2\/13 (d) -4\/3 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 PM and 10:27 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 15942, 127545, 430466, 1020363, 1992894, 3443717, 5468490, 8162871?\n\"Answer: 15943*y**3 + y**2 - y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 2*t**4 + 68*t**3 - 8*t**2 - 272*t = 0.\nAnswer: -34, -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 49*a**5\/5 + 4333*a**4\/5 - 56388*a**3\/5 + 31156*a**2\/5 - 880*a = 0.\nAnswer: -100, 0, 2\/7, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + -3.95. Let w = 0.45 - k. Which is the nearest to -2\/5? (a) 3 (b) w (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/4 - 266\/(-4). Let w be (81\/(-6))\/((-20)\/440). Suppose -w = -8*u - u. What is the highest common factor of u and f?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -108503\/63015073 - -16\/7667. Let l = 681997\/493140 + o. What is the common denominator of -43\/12 and l?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 + (-12)\/8)*0. Differentiate 1 + 4 - r**2 + p with respect to r.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1880739 and 3852?\nAnswer: 963","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2609059331 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -37784*m**2 - 4*m - 198325*m**2 - 13278*m**2 - 9. Let r be g(7). Round r to the nearest one million.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 285381986 to the power of 1\/3, to the nearest integer?\nAnswer: 658","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -62, -32, 18, 88, 178, 288?\n\"Answer: 10*x**2 - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 686183 + 83366 = 14*p. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a second in microseconds?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5 + 88\/(-16))*(-12 + 2). Suppose 14 = -d*h + 7*h. Solve 0 = -h*n + 6*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*w - 12 + 25*w + 4 + 14*w**2 + 2*w**3 + 8 in the form g*w + p*w**3 + t*w**2 + l and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13088 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2945 and 152.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 61001143942 and 0.09.\nAnswer: 61001143942.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*n**3 + 2 - 2 + 36*n**3.\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pppp when four letters picked without replacement from pkpppkp?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3645) + (sqrt(5) - sqrt(405)*3).\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*p**2 + 0*p**2 - p**2 - 3*p - 2*p**2 as x*p**2 + f + n*p and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2396627359 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2223 or 2219?\nAnswer: 2219","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*a + 13*a - 6*a.\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together 6899 and 4052261009.\nAnswer: 4052267908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -8*s - 2. Let f be z(-1). Suppose -f*h - 9 = -9*h. Suppose -5*a = h*m - 110, 3*m + a - 98 = -a. Calculate the smallest common multiple of 3 and m.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + b - 15 = 0, 55 - 5 = 2*i - 2*b. Solve -l + 0*l = 5*f + i, 10 = -2*f for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 AM and 8:48 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(((3*sqrt(99)*-1)\/sqrt(9)*5)**2 - ((sqrt(33)\/(-1*sqrt(3)) - -4*(1 + sqrt(11))) + -4)**2).\nAnswer: 4752","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 30*p**2 - 24*p + 20. What is the hundreds digit of n(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 41 - 124\/3. Let i = -0.5 + -1.7. Let y = i - -0.2. Is y >= g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -2*i - 22. Let l be u(-11). Factor l + 0*r**2 - 1\/6*r + 1\/6*r**3.\nAnswer: r*(r - 1)*(r + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 9 = w, -47*w + 44*w - 47 = 5*r. Sort 0, r, 135, -1 in increasing order.\nAnswer: r, -1, 0, 135","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*a*f*h + 3*a*f + 207202*a + f*h - 2*h - 42869 wrt a?\nAnswer: 2*f*h + 3*f + 207202","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + c + 20, 18 = 2*a + c + 3*c. Do a and 7 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124*v = -15*v + 82 + 27 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 216 - -35. Let s = 273 - y. Calculate the lowest common multiple of 82 and s.\nAnswer: 902","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1068 - 5974 = -22*k. Solve -k*b - 34 = -240*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -98 + 10*g - 2*g + 7*g + 15*g.\nAnswer: 30*g - 98","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.14? (a) -1.1 (b) -3\/8 (c) 838\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 456164, 454220, 450972, 446414, 440540, 433344, 424820?\n\"Answer: -f**3 - 646*f**2 + f + 456810","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -3. Let q be 0*3\/6*i. Suppose 5*r + 25 = q, 2*r = 2*k - 2*r - 114. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -3*p + 0*p - 4*p. Let g(q) = -q**2. Give j(g(u)).\nAnswer: 7*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -222 - -222.494. What is z rounded to 1 dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 1 = -4*d. Is 1 greater than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*w**3 + 1 - 2*w**3 - 5 + 11*w**3 wrt w.\nAnswer: 42*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/58)\/(30\/20*1*2)?\nAnswer: -2\/87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -4*c - 3. Let p = 8 - 13. What is the remainder when (0 + -3)\/(9\/(-147)) is divided by k(p)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*v + 30 = -4*j - 13*v, -2*j + 3 = 2*j - v + 21 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-344*v + 465*v - 2621*v)*(2*v - 4*v + 0*v)*(-4*v - 1 + 1) in the form m + z*v + j*v**2 + u*v**3 and give u.\nAnswer: -20000","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, 17, 1 in decreasing order.\nAnswer: 17, 5, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence omm when three letters picked without replacement from {f: 3, o: 4, a: 4, m: 4}?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 3) + (2 - 1 - 0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -268182175 - -10.53.\nAnswer: -268182164.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 483023 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2825 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: Collect the terms in w**2 + 8*w**2 - 6*w**2.\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + -23 + (-1 + 8 - -3).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 272\/170*(-3)\/2*(-45)\/27. Solve t*m = i + 21, 4*m = 13*i - 9*i + 24 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 560 and 280.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 346.62 + -392. Round y to the nearest integer.\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 610268?\nAnswer: 2, 152567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 13*s - 5. Let z(i) = i**3 + 6*i**2 - 7. Let a be z(-5). Let p = -7 - -3. Let o(b) = 3*b - 1. Let u(l) = a*o(l) + p*n(l). Determine u(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 120 is divided by 61?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 - 242*j - 14562. Give y(-135).\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3*172\/(-36) - (-2)\/(-6). Suppose -716819 = -o*p - 3488819. What is p rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8056?\nAnswer: 2, 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6\/(-5))\/(3\/(-10)). Suppose -14694386 = m*z + 35305614. Round z to the nearest 1000000.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 67835202?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 45 + 140 = 0. Let h = 91 - q. Is h a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*(46\/1 - (6 - 2)). Let b be -4 - (-5 + 1 - w). Let o = -40 + b. Solve -k - 12 = o*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (0 - (3 - 2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19199 - -1209583\/63. What is the common denominator of 61\/28 and y?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 + 9 + -2 + 0. Let g be (b\/(-10))\/(2\/(-12)). Factor -16*u**2 + 0*u**3 - 2*u**g + 16*u**2 - 2*u**4.\nAnswer: -2*u**3*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/43450 and -68\/7821.\nAnswer: 391050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 4*b**2 - 4*b. Let t(d) = -2*d**2. Determine m(t(q)).\nAnswer: 16*q**4 + 8*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1.4964501 + -0.41\nAnswer: -1.9064501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43.0586kg to milligrams.\nAnswer: 43058600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -126 times -27\nAnswer: 3402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -5*n**2 - 1320*n + 10805. What is d(-272)?\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + 2. Let u(z) = -z**2 - 7. Let w be u(c). Let h(x) = -x - 9. Let f be h(w). What is the biggest value in 0.1, f, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 18 and -1395645.63031.\nAnswer: -1395627.63031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4340189?\nAnswer: 7, 19, 32633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(144))\/(sqrt(48)*-3))\/(-5*(2*sqrt(1296))\/sqrt(4)).\nAnswer: -sqrt(3)\/135","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2352, -4736, -7154, -9624, -12164, -14792, -17526, -20384?\nAnswer: -23384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16170*d - 16586*d = 24224 + 7392 for d.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 186 divided by 4\nAnswer: 93\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 345 and 88330695.\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 + 26*t**2 - 121*t + 8. Let x be z(6). Let h be 8\/36 + 14\/18. Solve -x = v + h for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -3*j - 19. Let q be n(-9). Suppose -k + 2*t = 7, 3*k - 5*t - 4 + 20 = 0. Solve k*y = q*y + 4*f - 6, 0 = 4*y + 2*f - 6 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of f**6\/10 - 3*f**5\/10 - 23*f**4\/4 + 12*f**3 + 216*f**2 + 6*f + 65. Let k(h) be the first derivative of z(h). Factor k(j).\nAnswer: 3*(j - 4)**2*(j + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -24, 3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22.8933729us to days.\nAnswer: 0.00000000026496959375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 301, 1156, 2561, 4516, 7021?\n\"Answer: 275*c**2 + 30*c - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*j**5 + 396479*j**3 - j + 102130.\nAnswer: 220*j**3 + 2378874*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 + 17*k**2 + 82*k + 48. Let m be b(21). Let n(o) = o**2 - 50*o + 262. Give n(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 143081.9 and -1.\nAnswer: -143081.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - 2.99. Let f = j + 4.99. Let q = 1.99 + 0.01. Which is the second smallest value? (a) -2\/5 (b) f (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13549 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8)\/(-6) + (-14096)\/(-30). Let h = y + -462. What is the common denominator of -52\/5 and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 = -106*o + 681 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 2214 divide 52020981?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, x: 1, b: 1, u: 2}. What is prob of picking 1 x and 2 u?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and 104306.\nAnswer: -417224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 85*y**2 - 244*y wrt y?\nAnswer: 170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -204 - -217. Suppose -21*c = -v*c - 2240. Is 40 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 232868*m**6 - 17474*m**2.\nAnswer: 27944160*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 4*k - 19 - 178, -2*b = 2*k - 100. Suppose 4*z - k = -3*a, -4*z = -3*z + a - 11. Calculate the least common multiple of 10 and z.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qdiwiwm. What is prob of sequence wimm?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 152755 a multiple of 81?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + -6. Let q(v) = 5. Let n(y) = 2. Let o(w) = -7*n(w) + 3*q(w). Let s(c) be the first derivative of -2*c**3\/3 + 2*c + 1. Calculate b*o(z) + s(z).\nAnswer: -2*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8)\/(64\/30) + 0. Is -3 at most k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 - 6*m**2 + m + 8. Let t be r(-6). Let c(g) = -g**2 + 4 - g**2 - g**t + 4*g**2 + 5*g. Determine c(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-50)\/20*(-1)\/5. Which is the nearest to 1? (a) u (b) -3\/4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -15*a**2 + 5*a. Suppose 1 + 20 = -3*g. Let s(h) = 32*h + 6*h - 31*h - 22*h**2. Calculate g*y(p) + 5*s(p).\nAnswer: -5*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.11 (b) -1\/9 (c) 0 (d) -21\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 - 2.0954292?\nAnswer: -2.2954292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 23192.975725 + -0.2.\nAnswer: 23192.775725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103 = -2*b + 5*f + 120, -583 = -5*b + 4*f. What is the remainder when 184 is divided by b?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -71 + 39. Let b = 2323\/235 + -474\/47. Sort 1\/7, b, 1, z in ascending order.\nAnswer: z, b, 1\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -500 - -563. Suppose i = -2*w + 52, -2*i + 3*w = 3*i - 195. What is the greatest common divisor of l and i?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 5*(-1 + (sqrt(1900) - (sqrt(1900) + (sqrt(1900) + 1)*-6)) + sqrt(1900))**2 + ((0 + sqrt(1900))*-4)**2*-5*-2.\nAnswer: 3500*sqrt(19) + 769623","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2461?\nAnswer: 23, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 n when two letters picked without replacement from nfbzqqqpqnqbbbb.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-14777)\/(-35) + (-2)\/10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jzddohzpdzp. What is prob of sequence zp?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 1)*(-211*m + 9*m - 149*m).\nAnswer: 351*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3202 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*-0.14501\nAnswer: -0.029002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1873 = 5*i + 2*l, 2*i + 2*l - 510 - 238 = 0. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -2778*b**2 - 1118*b - 1108. Give q(-1).\nAnswer: -2768","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 + 4*w - 6. Let t be r(-6). Let f(z) = 30*z + 1. Let l be f(-1). Let m = l + 59. Calculate the greatest common divisor of m and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 2*m = -5*m - 6, 0 = -i - 2*m - 4. Let u = -25.938 + -0.062. Let w = u + 26.2. Which is the closest to i? (a) w (b) 2\/11 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 54.19846 meters?\nAnswer: 0.05419846","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -296\/15, 12, -0.5, 4 in increasing order.\nAnswer: -296\/15, -0.5, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18 + 20. Let l(p) = 5*p**2 + p**2 - 5*p**2 + p**t + 3 - p**3 - p. Let b be (-3 - -7) + (-1)\/1. Calculate l(b).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 838493\/19 - 8347041\/266. Let q = -12746 + v. Find the common denominator of ((-3)\/60)\/((-2)\/(-44)) and q.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -8 - ((-576)\/8 - -7 - 3). What is the highest common divisor of c and 3180?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 188.489 - -3.411. Let o = 180.532 - -0.468. Let b = o - z. What is b rounded to the nearest integer?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, w: 2, c: 2, v: 4, h: 2}. What is prob of sequence hg?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 3*p - 9612044 - 30347968, -5*t + 49949984 = 4*p. Round t to the nearest 100000.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 326481, 326540, 326599, 326658, 326717, 326776?\nAnswer: 326835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -70 - -65. What is the smallest value in -0.4, a, -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -3678 and 111 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + -3. Let l = 16 + b. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 4 - 1)*(0 - f + 0) + 1 + 0 - 2*f + 3*f)*(-4 + 3 - 1 + (7800 - 3886 - 4546)*(-3 - 6 + 2)) - 3*f + 2*f + 0*f.\nAnswer: 8843*f + 4422","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5030790 is divided by 282.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 3*j**2 - 11*j + 7. Calculate y(5).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -71 + 26 + 20 - -16?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 less than or equal to 555?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -2*p + 3. Let b be x(-3). Suppose -5*j = -b*j + 844. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2412965.\nAnswer: 5, 482593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6103087 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-1 - (-1 - 9)) - (-40 - (-54 - 3))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5 - (5 - (7 + -4)). Suppose -b*s - s + 16 = 0. Suppose -9 + 1 = -s*r, -19 = -h - 4*r. What is the highest common divisor of h and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 579096 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 240 and 10430.\nAnswer: 250320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -2*l**2 + 115*l + 172693. Calculate w(324).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1.7, -3, 3627, -21?\nAnswer: 3627","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -678.7807175 to the nearest ten.\nAnswer: -680","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -10*z**3 - z**2 + 3*z + 3. Let y(d) = 2*d**3 - d. Let u(k) = v(k) + 3*y(k). Let o(t) = t**3. Give -5*o(b) - u(b).\nAnswer: -b**3 + b**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t + 5*t + 10*t + 7*t - 17*t.\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 16) to base 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -137 (base 8) in base 7?\nAnswer: -164","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*h = -34*h + 36. Suppose -h*b + 1984 = -2*b. Suppose -2*z + b + 332 = 0. Calculate the highest common factor of 46 and z.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255731549 to the power of 1\/6, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -22*j**4 + 7*j**3 + 7*j**2 - 15. Let v(g) = -21*g**4 + 6*g**3 + 6*g**2 - 14. Let z(i) = -6*p(i) + 7*v(i). What is the derivative of z(n) wrt n?\nAnswer: -60*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.5 + 0.55. What is the closest to -2 in w, 0.2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -9*n + a - 64, 0 = 4*n - 4*a + 64. Let l be (-1 + n - -1)\/(-2). Solve -4*k = -k + l for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**4\/9 + 8*d**3\/3 + 2*d**2 - 44*d\/9.\nAnswer: 2*d*(d - 1)*(d + 2)*(d + 11)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -47*k + 19604 - 4564. Does 16 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -2*p. Let y be f(-2). Suppose 2*n + i + 2*i - 1518 = 0, -n + 754 = y*i. Let c = 2359 - n. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 - 296\/(-156))*(-12)\/(-20). Let f = o + -20\/13. Determine s so that -4\/5 - f*s**4 + 6\/5*s**3 - 13\/5*s**2 + 12\/5*s = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the second derivative of -h**5\/20 - h**4\/12 - h**2\/2 + h. Let b(l) = l**3 + l**2 + l + 3. Let t(v) = b(v) + 2*x(v). Factor t(k).\nAnswer: -(k - 1)*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.166 or -112.599?\nAnswer: -112.599","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 26*l - 23*l for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*j + 48 = -8*j. Let g = j + 12. Is 6 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -98031936 + 1560?\nAnswer: -98030376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 - 23*a**2 - 18*a + 91. Suppose -3*x = 2*g - 102 - 14, 120 = 3*x + 3*g. Is b(x) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 50 from 1950820.\nAnswer: 1950770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*z + 20 = -5*z. Suppose -2*o = 3*q - 26, 0*o = -z*o - 10. What is the second derivative of 11 - 13*b - 33*b**2 + 1 - q wrt b?\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3912)\/651 - (-42)\/(-9)*16\/((-560)\/45)?\nAnswer: -2\/217","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -2*h + 5, -4*h + 7 + 6 = -r. Suppose 8 = -h*k - 1. Let z(q) = q + 4. Let o be z(k). Which is smaller: 1\/5 or o?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4642 = 60*z - 5722 for z.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2299) + -1)*-2 + 2 + sqrt(2299)*-2 - (-2*sqrt(2299)*-1 - (-2 + (1*sqrt(2299) - sqrt(2299))))*6)*-2)**2.\nAnswer: 11264*sqrt(19) + 2354432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.2 + 3.2. Let q = -547.463 - -544. Let t = q + r. Round t to 2 decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 7 = -3*g, -14*g = -5*z - 16*g + 27 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 - 11*v + 14. Give h(11).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -14*b**3 + b**2 + b - 1. Let w = -436 + 442. Let a be w\/1 - 150\/30. Determine p(a).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 524*r**2*u**2 - 1728*r**2 - 2*u**2 + 2*u wrt u?\nAnswer: 1048*r**2*u - 4*u + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 5 (b) -24 (c) 10 (d) 0.2 (e) 18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 28a51a (base 12) in base 13?\nAnswer: 1ab2ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1580 and 1080.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27*x + 32 - 32 + 6*x to j*x + w and give j.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y**4\/9 + 14366*y**3\/9 - 12764906*y**2\/9 - 25659178*y\/3 - 12851156 = 0 for y.\nAnswer: -3, 1046, 6143","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6\/(-4))\/(7 + 2971\/(-424)). Let r = o - 95. List the prime factors of r.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of -h**7\/840 - h**6\/90 - h**5\/24 - h**4\/12 + 2*h**3\/3 - 1. Let n(u) be the third derivative of v(u). Let n(w) = 0. Calculate w.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 1\/330, 1, 4\/3, -0.3, 32, -0.1, 2\/11?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 15\/(2\/24*1*9). Solve -c = -7*g + 3*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165.3 times 0.047?\nAnswer: 7.7691","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 494188?\nAnswer: 2, 123547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 800\/288 - (0 - 6\/27).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-31 - -27)\/((4 - 2)\/(-2)). Solve 0 = 4*r - q*s - 20, 3*s = -3*r + 3 - 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 776*i + 176 = 792*i for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the second derivative of -n**5\/20 - 11*n**4\/12 - 7*n**3\/2 - n**2 - n. Let g be x(-9). Which is greater: g or 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -202*h**3 - 493*h**2 - 488*h**2 + 986*h**2 - 85*h**3 to l*h**2 + v + o*h + z*h**3 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 - -10. Let l = -12 - -39. Suppose -z*q = 0, -3*q = 3*k + q - l. Is k a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 373649.\nAnswer: 373649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, i: 13, x: 2, k: 1}. Give prob of sequence iipi.\nAnswer: 143\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than 37\/197?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 505?\nAnswer: 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2165 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: Round -37075 to the nearest 1000.\nAnswer: -37000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -47392, -47572, -47726, -47848, -47932, -47972, -47962, -47896?\n\"Answer: a**3 + 7*a**2 - 208*a - 47192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 572b (base 13) in base 12?\nAnswer: 7091","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/((660\/18)\/10)*-1\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 253 + -125. Let l = -130.14 + o. What is l rounded to one dp?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62336039 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.6287206 + 86.5573494. Let k = i - -19.83063. Let f = k - 107. What is f rounded to 3 dps?\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -235 - -248. Which is the closest to -0.1? (a) k (b) 0.5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*h**3 + h**3 + 3*h**3 + h**3.\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10 and 2167726370?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 230\/(-10143)*-21*(-21)\/9?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 47\/((-2585)\/(-10))*13167\/42?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, 1, -2, 4 in increasing order.\nAnswer: -2, 1, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3750 and 327000.\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -151 = 95*f - o + 131 - 108, 0 = f + o + 18 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000024763834 rounded to 6 dps?\nAnswer: -0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((2 + sqrt(153) + sqrt(153)*-1)*-4 + 2*(sqrt(153) - (sqrt(153) - (sqrt(153) + -1))*5))**2.\nAnswer: -936 + 216*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 196*q + 63*q + 611*q - 37*q + (1 + 0 + 0)*(-1 + 1 - 3*q) - 2 + 2 - 6*q.\nAnswer: 824*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36237 and 1784865?\nAnswer: 771","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2934.865643 - 0.1.\nAnswer: -2934.965643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((18\/150)\/((434\/31)\/140))\/3\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (5 + (-3)\/3)*1. Sort -5, o, 5, -3 in decreasing order.\nAnswer: 5, o, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 388482 is divided by 8428?\nAnswer: 794","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 48 - (2 + 2 + -1). Calculate the greatest common divisor of 162 and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -32*q - 6 + 21 + 31*q - 3*q + 3*q + 2*q + 2 - 2 - 2*q + 1496 - 1496 + 30*q + (q + 2*q - 5*q)*(-4 + 3 + 3) + 0 + 2*q + 0 to t*q + c and give c.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -484, -493, -514, -553, -616, -709, -838, -1009?\nAnswer: -1228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 270301025?\nAnswer: 5, 29, 372829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1062*z = -1069*z + 35 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1744 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: Put 0.43, -3\/5, -4 in descending order.\nAnswer: 0.43, -3\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 156\/(-312)*(3 - 20)*-2.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7 + -170613.7?\nAnswer: -170613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-19)\/(-7) + (-6)\/(-21). Let o = 6 - r. Suppose o*h - 4*i - 31 = -0*i, -3*h + 36 = -3*i. What are the prime factors of h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/5, 0.1, -12905577?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 67, 4, 48?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yylq when four letters picked without replacement from llyqqlyllqqqylllylql.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -88 + 63. Let f be (p - -25)\/(3 + 1). Factor 0 + 0*y - 1\/2*y**3 + f*y**2.\nAnswer: -y**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvtv when four letters picked without replacement from {t: 13, v: 5}?\nAnswer: 13\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 PM and 10:13 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 + 8. Let z(x) = x - 1. Let d(l) = v(l) + 4*z(l). Suppose -5*j - 1 + 26 = 0. Suppose 4*c = j*c + 2*m - 4, 2*c - 5*m + 28 = 0. What is d(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 + 7*j**2 - 8*j - 3. Let y be m(-8). Let b(v) = -v + 2. Let n(a) = -5*a + 11. Let s(t) = -11*b(t) + 2*n(t). What is s(y)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18.6 - -18.5. Let b be (-2)\/(-7) + (-1160)\/42. Let l = b + 27. What is the closest to c in l, -1, 2\/3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101001 + -111?\nAnswer: -1110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2541.\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -74719038 divided by -84333?\nAnswer: 886","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 + 3*h - 2. Let v be y(-6). Suppose 5*u - v = u. Solve u = -5*x + x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -12406, -6415, 3570, 17549, 35522, 57489, 83450?\n\"Answer: 1997*p**2 - 14403","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z - 11. Let m be b(-8). Let t = m + 6. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 688583 + 59?\nAnswer: 688642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -280454, -280457, -280460, -280463?\n\"Answer: -3*a - 280451","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k - 3. Suppose -n + 6*c = 2*c - 18, 2 = 5*n + 2*c. Let b(o) = 4*o**3 - o**2 + 5*o - 3. Let f be b(n). Suppose -j - 32 + f = 0. What is v(j)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -5, -0.655, -2\/3, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 - 1 - (10 + 38889). Let s be (-1)\/6 + (-25993933)\/(-42). Let a = r + s. What is a rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 2*v = -23, 602*v - 10 = 38*f + 600*v for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2670573*d*w - 2580*w + 27 wrt d?\nAnswer: 2670573*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -92, 4, 182, 436, 760, 1148?\n\"Answer: -g**3 + 47*g**2 - 38*g - 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -78, -160, -242, -324, -406?\nAnswer: -488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 - 5*m**2 - 9*m - 4. Let v be x(7). Let f be v + 3\/(9\/(-6)). Let i = f + -11. Does 12 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 91913 and 214.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3. Let p(x) = -9*x**3. Suppose -141*u = 53 - 145 - 49. Calculate u*p(g) + 2*b(g).\nAnswer: -7*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*t**4\/9 - 118*t**3\/3 + 228*t**2 - 408*t - 144.\nAnswer: 2*(t - 6)**3*(10*t + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1231052?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - 74) + (0 - 10).\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 5*s - 25, 2*l - 13 - 9 = -2*s. What is the lowest common multiple of 8 and l?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 108 divide 1638252?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 242213632, 242213631, 242213630?\n\"Answer: -p + 242213633","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 587 divide 288804?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9541*y**3 - 3144*y**2 wrt y?\nAnswer: -57246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -145, -291, -437, -583, -729, -875?\nAnswer: -1021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*m = -57*m + 1190 for m.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s + 2*s - 5*s)*(-27 + 22 - 61 + 1 - 3 + 3 + 2 + 2 - 2 + (-2 - 1 + 2)*(-3 + 5 - 3))*(-2 + 3 + 1).\nAnswer: 124*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 521968824, 521968822, 521968820?\nAnswer: 521968818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 31 - 27. Suppose 0 = -q*p + 2*s + 34, 2*p - 22 + 1 = -3*s. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 - 489*p**2 + 489*p**2 - 13*p**3 + 10.\nAnswer: -13*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/39021 and 25\/123.\nAnswer: 1599861","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -2*p**5\/3 - 2*p**4 - 2*p**3\/3 + 2*p**2 + 4*p\/3 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 260853*l**4*p + 2*l**3*p**2 + l**3 - 95*l**2*p + 6*l**2 + l*p**2 - 111*l*p - 5*l wrt l?\nAnswer: 6260472*l*p + 12*p**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 1 + v**3 + (2*v + v**2 - 2*v)*(6 - 6 + 2*v) to f*v**2 + o*v**3 + q*v + t and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73913?\nAnswer: 7, 10559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 x when two letters picked without replacement from xxjdh?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110*o = 124*o - 42. Suppose 2*q - 5*d = -2*q + 6368, 0 = -o*d. List the prime factors of q.\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2327950.\nAnswer: 2, 5, 46559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s**3 + 2*s**4 - s**3 - 23*s**2 + 25*s**2 + (14 - 16 + 13)*(s**2 - 3*s**4 - s**2).\nAnswer: -31*s**4 - 2*s**3 + 2*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 186 and 2480.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -225.77 - -225.71. What is the third smallest value in s, -59, -2\/9?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 185*g - 200*g + 345 = 0. Let r be (-155)\/9 - 4\/(-18). Let n = g + r. Calculate the least common multiple of n and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of -5*i**3\/6 + 5*i. Let t(x) = -2*x**2. Determine t(u(s)).\nAnswer: -50*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 192390?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + sqrt(2448) + 0)*-3 + -5*(sqrt(153)*2*3 + sqrt(153)))**2.\nAnswer: 4230*sqrt(17) + 338202","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1223*x**2 + 1241*x**2 - 2462*x**2.\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -2*h**2. Suppose 2*c + 10 = -4*l - 8, -4*l - 23 = -3*c. Let d(p) = -7*p + 5. Let s(j) = -4*j + 3. Let u(b) = l*s(b) + 3*d(b). Determine o(u(w)).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 153076 by 2.\nAnswer: 76538","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s - 4*s - s)*(-16 + 23 + 27)*(1 - 5 + 2).\nAnswer: 272*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 42305107 and 5798.\nAnswer: 84610214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 14*1\/(-3)*-3. Let c be 214\/63 - 4\/s. Solve 0 + 2\/3*g**3 + c*g**4 - 2*g**2 + 4\/9*g = 0 for g.\nAnswer: -1, 0, 2\/7, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 v when three letters picked without replacement from dnnvddd.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1757.32 take away -3030568371?\nAnswer: 3030570128.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -90.2926.\nAnswer: 9.02926","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -23 - 19b2c?\nAnswer: -19b52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2 + 114*b - 1040. Calculate z(10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 2*t = 20, 4*i + t + 1 = 6*t. Let g(a) = 4*a - 8. Let u be g(i). Let w = u + -4. Calculate the highest common divisor of w and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 + 3*p + 117. Let o be g(0). What is the highest common divisor of 9 and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10\/13 - -24\/65. Which is the closest to 0? (a) 0.1 (b) o (c) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7134\/1599)\/((-8)\/104).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 16*j**2 - 16*j. Let o be y(-3). Let a = o - 152. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by 4489.\nAnswer: -8\/4489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5353 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 256888 (base 9) to base 7.\nAnswer: 1216553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5710441109 to the nearest integer?\nAnswer: 1787","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37245 is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbwbbeww. Give prob of picking 2 b and 1 w.\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*-6*(-1)\/2. Let x = -0.91 - -1. Let u = x - -3.91. Which is the smallest value? (a) -1\/4 (b) u (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-156)\/117)\/((8\/3)\/4)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13697813 to the nearest integer?\nAnswer: 3701","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8 and 108.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1091 - -1097. Which is the second biggest value? (a) -0.4 (b) -1\/2 (c) 2 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 v when three letters picked without replacement from vttvt?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26 - (-5 - (-41 + 7)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -303 + 300. Let l be g + -4539997 + (4 + -4)\/(-3). What is l rounded to the nearest 100000?\nAnswer: -4500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21027, 42062, 63097, 84132?\nAnswer: 105167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4*(-4)\/(-40)*35. Suppose -y*h + 240 = -10*h. Suppose h = 2*o + o. Solve -5*b - o = -b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 2*y. Let c(z) = 11*z - 6. Let o(v) = -c(v) + 5*d(v). Let n be o(2). Sort n, 27, 0, 3 in descending order.\nAnswer: 27, n, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of g**5\/60 - g**4\/6 - 5*g**3\/6 + g**2. Suppose 49 = -5*s - 51. Let u be 6\/(-2)*s\/15. Determine a(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -6*p - 7. Let y(b) be the second derivative of -b**3\/6 + 88*b - 13. Determine i(y(q)).\nAnswer: 6*q - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 229 is divided by 36.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 3*c - 13134, v + 4379 = c - v. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -3*l - 1. Let i(a) = 3*a + 40. Let r(c) = -5*c + 13. Let u be r(5). Let y be i(u). Determine w(y).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 6655464251?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39 divided by 13.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 8, -3, -0.356, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-2 + (sqrt(1300) - (sqrt(1300) + sqrt(1300)*-1)*6 - -2*(sqrt(1300) + -4*sqrt(1300) + sqrt(1300)))*-3*-6)**2.\nAnswer: 6480*sqrt(13) + 11372412","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 36 = -2*k. Let n be 12\/k*-3*1. Let y(o) = o**3 - 5*o**2 - 6*o + 3. Let s be y(6). What is the second biggest value in n, -2\/11, s?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1314672 or -6573366\/5?\nAnswer: -6573366\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/17172 and -149\/16261884.\nAnswer: 16261884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 33 = 87. Calculate the greatest common divisor of 9 and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 65, -171, 1 in increasing order.\nAnswer: -171, -6, 1, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84810 = 27*c + 6*c. What is c rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by 52.\nAnswer: 9\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 4*z = 16, 14*z = g + 10*z - 16. Solve 4*l + 4 = -g*l + 4*h, -23 = 5*l + 4*h for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a minute in milliseconds?\nAnswer: 28800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -36 + -8. What is the units digit of (z\/(-8))\/(3 + 382\/(-128))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 2*y + 3*a, 184*a - 187*a - 3 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 507240?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -6102 (base 8) to base 11\nAnswer: -23a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/s**(2\/5))*s)**5\/((s\/s**(-3)*s)\/s**(-6)))\/((s\/((s\/(s*(s*s**(-4\/3)*s)\/s))\/s)*s)\/((s*s*s**(-7))\/s))**(-17) assuming s is positive.\nAnswer: s**(430\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11827?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 674 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 m when three letters picked without replacement from imiiiimimmiiii.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 96 or -1003?\nAnswer: -1003","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1658 - 1449. Let r be ((-95)\/20)\/(-1)*12. Calculate the greatest common factor of s and r.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 1078*l. Let p(i) = -50*i**2 - i + 8. Calculate o(p(m)).\nAnswer: -53900*m**2 - 1078*m + 8624","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.7 - -0.7. Let t = z - -10. Let q = 6.000104 - t. What is q rounded to five dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -1008615?\nAnswer: 100861.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 + -24. Let p(x) = 6*x. Let h(j) = -j. Give q*h(i) - 3*p(i).\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -817 + 818 - (-8 - (-3 - (-2 - 2)))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -26 or -13566\/521?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96372.\nAnswer: 2, 3, 2677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*i + 132 = -53*i + 129*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7846ad (base 14) in base 3?\nAnswer: 21200111202010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1266199 and 21461.\nAnswer: 1266199","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b. Let w(d) = 9*d**2 + 4*d. Give w(h(z)).\nAnswer: 9*z**2 + 4*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 52037?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ldssppddpxd. Give prob of picking 1 s and 1 p.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3*-1*(-1 + 0). Suppose -3*j = 4*m + 5, -u*j = -3*m - 4*j. Let o be ((-1)\/2)\/((-5)\/4). Are m and o nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1140)\/(-48) - 2\/(-8). Suppose -i - 25 = -z. Is i - ((4 - 1) + -791) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -8*g + 55. Let d be (4\/4)\/(0 + 1)*4. Calculate s(d).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 - 319*u - 24776. What is v(-185)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.2 + 3.2. Let w be (-8)\/(4*-1)*(-1)\/(-1). Let q be (123\/60 - w) + (-8)\/32. Which is smaller: q or m?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/28 and -149\/42?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 2*y**2 + 1246*y + 11037. Calculate h(-9).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -o**3 + 700*o**2 + 261547*o + 20162714 = 0.\nAnswer: -143, 986","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + (-5 - (5 + 0)) + 1.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, -4, 5, 3110, 1, 4 in decreasing order.\nAnswer: 3110, 5, 4, 1, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/q**(-1\/34)*q**(5\/3))\/(q\/((q\/(q\/(q**(-10\/9)\/q)))\/q)*q**(-22)*q) assuming q is positive.\nAnswer: q**(6299\/306)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-2\/7)*t*t*t*t**(2\/5)*t)\/((t*t\/((t*t**(-1))\/t))\/t*t\/t**(5\/6)))**47 assuming t is positive.\nAnswer: t**(29093\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4abf4 + -c?\nAnswer: 4abe8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1276 + -1273. Let n(c) be the third derivative of 1\/6*c**4 + 0*c**b + 0*c - 7*c**2 + 0 - 1\/20*c**5. Find the second derivative of n(q) wrt q.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 154127 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 466 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*a + 39*a + 235 = -22*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -812\/4587 - 2\/417. Let h = 1.4 - 1.7. Which is the nearest to -2? (a) f (b) h (c) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of i**6\/3 + 3*i**5\/20 + i**3 - i**2 + 133*i. Find the second derivative of o(d) wrt d.\nAnswer: 120*d**2 + 18*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/14 + (-23)\/7. Let t(j) be the first derivative of j**2\/2 - 23. Determine t(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1068605891 and 8033?\nAnswer: 8033","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*m + v, -3*m - v = m - 12. Suppose -4 = -m*w + 2. Find the common denominator of -1 + 0 + 11\/(-9) and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (n + 0*n + 3*n)*(0*n - 8*n - n) - n + n - 4*n**2 in the form k*n + r*n**2 + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -577, -2\/7, 5, 477, 3\/8 in increasing order.\nAnswer: -577, -2\/7, 3\/8, 5, 477","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -17*l + 520. Determine k(17).\nAnswer: 231","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(2057) + -1 - (-1*sqrt(2057) + sqrt(2057) + sqrt(2057) + 1)**2.\nAnswer: -2060 - 11*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 32 = 5*z, 0 = -2*z - 3*f + 7*f + 24. Suppose 20 = 6*a - 2*a. Suppose -2*p + k = -z*k + 12180, p = -a*k - 6120. Round p to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2004, 1984, 1964, 1944, 1924?\nAnswer: 1904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -405 and 4.\nAnswer: -1620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*i + 11. Which is bigger: i or 12\/5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 5*n = 9, 0*n = 2*h - 4*n. Calculate the highest common divisor of 8 and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of b**7\/441 - b**6\/45 + 3*b**5\/35 - 11*b**4\/63 + 13*b**3\/63 - b**2\/7 - 329*b. Factor f(y).\nAnswer: 2*(y - 3)*(y - 1)**4\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2 + 6*r + 6. Let b = 13 - 20. Let z = 0 - b. Let d be j(z). Which is bigger: d or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 25430, 98981, 221566, 393185, 613838, 883525, 1202246?\n\"Answer: 24517*b**2 + 913","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fifteen quarters of a gram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4 times -914466\nAnswer: 3657864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**4 - i**2 + i. Let x(v) = -4*v**4 + 5*v**2 + 8*v. Let o(f) = 5*w(f) + x(f). What is the second derivative of o(s) wrt s?\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*i - 2991 - 12814 = 0. What is the remainder when i is divided by 41?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -13786, 2752, 0.4, 2\/19, 5 in decreasing order.\nAnswer: 2752, 5, 0.4, 2\/19, -13786","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 215*f - 90*f - 133*f.\nAnswer: -8*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 63529 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of 3*x + 0*x**3 + 0*x**2 + 0 + 11\/12*x**4. Let t(w) = w. What is i(t(k))?\nAnswer: 11*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 AM and 7:37 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9231 and 27693?\nAnswer: 27693","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 26664 divided by -23\nAnswer: -26664\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 67588, 135213, 202922, 270763, 338784?\nAnswer: 407033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -y + 351, 5*y - 2397 + 674 = 4*k. Let i = 199 - y. Let a = i + 2591\/18. Sort -3, a, 2\/3 in decreasing order.\nAnswer: 2\/3, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1298, -4432, -9306, -15914, -24250, -34308?\n\"Answer: d**3 - 876*d**2 - 513*d + 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -491 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2168 + -2167.6. Which is the closest to -0.01? (a) -5 (b) w (c) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 89559*q**2 + 101*q + 1775984 wrt q.\nAnswer: 179118*q + 101","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 474816196 to the nearest integer?\nAnswer: 780","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4 - 4)*(2*h - h + 0*h) + h - 4*h + 4*h + (-4*h + 3*h + 2*h)*(-3 + 3 + 3).\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 17*c**2 - c - 3. Let s(m) = 9*m**2 - m - 2. Determine -3*l(d) + 5*s(d).\nAnswer: -6*d**2 - 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 22\/(-8)*(-17 + 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -30 - -22. What is the common denominator of (-2)\/3 - 3676\/1560 - -3 and 3 - 298\/15*(-6)\/k?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -t - t - 25 - 67 - t to k + r*t and give k.\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-16)\/(-7) - 2\/7. Let p(t) = 4*t**2 - t**3 - 2*t + 0*t**3 + 0*t + 0*t**b - 2. Let v be p(2). Solve -v*u + 4 = 2*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 673\/4 + -166. Let x = 9115274 - 118558286\/13. Let q = -4597 - x. Calculate the common denominator of q and v.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 - 7*d + 27. What is t(-10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of 134217728\/15*z**6 + 0 + 1\/2*z**2 - 214*z - 256\/3*z**3 + 8192*z**4 - 2097152\/5*z**5. Let d(t) = 0. Calculate t.\nAnswer: 1\/128","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*a = 7 + 44 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1268 (base 9) to base 5.\nAnswer: 12303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 86 + -81. Let y be v - (1 + (0 - 0)). Let h be -3 + 5*(-24)\/(-20). Solve 0 = 2*w + i - y, 3*i = -w + h*w + 12 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -3*o**5 + 3*o**4 + 171*o**3 - 255*o**2 - 2400*o + 4500 = 0.\nAnswer: -6, -5, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36, 34, 32, 30, 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 + 0. Let t = 0 - v. Suppose 3*f - t + 2 = 0. Solve -2*i = f*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -y**2 + 2*y**2 - 5*y**3 + 34*y**3 as n*y + r*y**3 + o*y**2 + q and give r.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.6785l in millilitres?\nAnswer: 5678.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 68\/54740*20965 - 26?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 27921 - 4271351\/153. Let s = h + -32\/9. Let o = -7\/11 + 85\/99. Which is the third biggest value? (a) 3\/5 (b) -3\/17 (c) s (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 6*i = 2*i - 42693, -3*i = -3*n - 42693. Let g = 20680 + n. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2196.\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9739380 divided by -2.\nAnswer: -4869690","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*p**2 - 18*p**2 - 35*p**2 + 32*p**2.\nAnswer: -73*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2854644 and 26570148?\nAnswer: 345411924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h = 4*h. Suppose -2*j + j = z - 4, 0 = 2*z + 4*j - 10. Suppose z*y - 29 + 11 = h. What is the lowest common multiple of y and 15?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 110 and ((-2)\/6)\/(4\/48) + 7?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4122 by 9.\nAnswer: -458","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/((sqrt(54)*-3)\/sqrt(6)).\nAnswer: -sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 5*b = -232. Calculate the remainder when 56 is divided by b.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -801 - -1448. Let s = 1006 + c. List the prime factors of s.\nAnswer: 3, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, 1, 17, 35, 55, 77, 101?\nAnswer: 127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3039*m**5 - 5*m**2 + 9*m - 6 wrt m?\nAnswer: -182340*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -12*l + 21. Let r(v) = -26*v + 36. Determine -4*r(m) + 10*y(m).\nAnswer: -16*m + 66","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Solve -1692 + 582 = 74*b for b.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.071 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 6 + 3 = -3*i, i = 4*d + 1 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1 + 291*o**2 - 7*o**5 - 284*o**2 - 1 wrt o.\nAnswer: -420*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 + 2. Let u(j) = -j - 3. Let r be u(p). Suppose 41 + 69 = r*g. Calculate the smallest common multiple of g and 16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7276869575?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 8501.13 millilitres in litres?\nAnswer: 8.50113","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84589 is divided by 40?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -67 - 56*x + 132 - 65 to s*x + t and give s.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -2*z**2\/3 + 20*z\/3 - 32\/3 = 0.\nAnswer: 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 16) to base 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 0.150389\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -53907, -53953, -53999, -54045, -54091?\n\"Answer: -46*u - 53861","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(54)*-2)\/sqrt(3)*-1 + (-1 + sqrt(14)\/(sqrt(56)\/sqrt(8)))*-6.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a centimeter in micrometers?\nAnswer: 67500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 411369\/166 < 2479?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -n**2*t**2*x + 3467*n**2*t**2 - 21*n**2*t - 2*n**2*x - n**2 - 25*n*t**2 + n*x - 3*t + 8 wrt t.\nAnswer: -2*n**2*x + 6934*n**2 - 50*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 AM and 2:42 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 892\/(-68) - -13 - 750\/(-17). Solve 46*v + q = 228 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3\/3 - 66601*w**2\/3 + 266383*w\/3 + 110995.\nAnswer: (w - 66597)*(w - 5)*(w + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -10 (b) 1\/3 (c) 30 (d) 5 (e) 6 (f) 1\/4 (g) 0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2655?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2\/9 + 25*g\/9 + 26\/9.\nAnswer: -(g - 26)*(g + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1823369 is divided by 4211.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/100 and -113\/20.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -32\/3 in 0, -2\/2549, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107668?\nAnswer: 2, 11, 2447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1281\/(-671)*(-540)\/189\nAnswer: 60\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 - 3*j - 5. Let g be h(4). Suppose -61*s - 3*a = -62*s - 22, -60 = -3*s - 5*a. Sort -16, g, s.\nAnswer: -16, g, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -2*x - 6. Let r(f) be the third derivative of -f**4\/6 - 11*f**3\/6 - 18*f**2. Let n be 1*((1 - (-54)\/6) + -4). Give n*r(v) - 11*p(v).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -184 - -94. Let s = 80.6 + d. Round s to 0 decimal places.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -5*w**2 + 7*w - 4. Let g(b) = b**2 + b + 1. Let u(o) = 4*g(o) + p(o). Let v be u(8). Let i = v + 68. What are the prime factors of i?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 138432 by -4326.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 40*b - 17*b - 5*b**2 + 3*b**2 - 15*b - 25*b**3 - 21 - 15*b. What is the tens digit of x(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3, 7, 15, 27, 43, 63, 87?\n\"Answer: 2*z**2 - 2*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 1)*(-3*j + j - 6*j)*(-1570*j**2 + 19863*j - 19863*j).\nAnswer: -25120*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -1471*z + 457473. Calculate n(311).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 275583965 by -5.\nAnswer: -55116793","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 122089075*p**2 - 198531402?\nAnswer: 244178150*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = -18 - 2 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (12\/(-10))\/((-12)\/30). Suppose -3*y + 5676 = -j*f, 3*f - 1574 - 2195 = -2*y. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 1068\/18*(-6)\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5397\/1028 + ((-2)\/1)\/8. Solve -w*y = 0, -4*k + y - 4 = 3*y for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3525 - 1670. Calculate the highest common factor of z and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1785 + 1741 - (0 + -17)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 8) in base 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 6)*(-1 + j + 1)*(13 + 0 - 5 + (3 + 3 - 5)*(4 - 4 + 1)).\nAnswer: 18*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add 10.2637 and -6.6.\nAnswer: 3.6637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - 345?\nAnswer: -345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -35, -69, -103, -137?\n\"Answer: -34*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the third derivative of -h**4\/24 - h**3\/6 - 7*h**2. Let m be l(3). Is (m\/(-6))\/(2\/381) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 7 and 0.65062.\nAnswer: 7.65062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 - 8*c**2 - c + 8. Suppose -4*m + 2*m = 18. Is u(m) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (87 + 0)\/(63\/(-99)). Let h be 2\/(-3) - (-6608)\/48. Let a = h + k. What is the closest to -4 in 2\/17, a, 4?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14450 (base 7) to base 6\nAnswer: -30312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = 5*a - 4*l, 4*a = 5*a - 2*l + 6 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4617269873 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 88476?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*n - 304*n**4 + 306*n**4 + 15*n + (-n - 1 + 1)*(-2*n**3 + 3*n**3 + 0*n**3) + 3*n**4 - 2*n**4 - 3*n**4.\nAnswer: -n**4 + 20*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*k - 580 = 79*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34 - ((1 - 0) + 0).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -512*h - 29178. Give y(-57).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 4 + 4)*(-7 - 11 + 8) + (3 + 2 - 6)*(5 - 2 - 4))*(-17 + 17 - 14*k).\nAnswer: 1106*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 - 2. Let h be w(-2). Let q(y) = -2 + 4 + h*y - y + 0*y. Let p(x) = -x - 3. Let f(k) = 2*p(k) + 3*q(k). Let d(z) = -5*z. What is d(f(a))?\nAnswer: -5*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2254927 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9365?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 196 and 26117.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 3 = -3*h, 3*c - 4*c - 3*h + 7 = 0. Calculate the common denominator of ((-351)\/(-180))\/(c\/4) and 99\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - h)*(1 - 2 + 3)*(3 - 3 + h**3)*(93 - 93 + 25*h).\nAnswer: -50*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 0*m**2 + 3*m**2 - 1 + 6*m**2 + 4*m. Let d(n) = 21*n + 36. Let a be d(-11). Let o = a - -194. Let f(s) = s**2 + s. What is o*y(j) + 6*f(j)?\nAnswer: -3*j**2 + 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 583 and 901.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/2 (b) -0.4 (c) 16 (d) 5 (e) 3.85 (f) 1\/7 (g) 24\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -775\/2, 0.7, -52\/5, 2 in descending order.\nAnswer: 2, 0.7, -52\/5, -775\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90 = -85*l + 185*l - 103*l for l.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -39.3 + 35.3. What is the closest to -3 in -0.1, p, 1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jojo when four letters picked without replacement from jojo.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g**3 - 676*g**2 + 2592*g + 7920 = 0.\nAnswer: -2, 6, 165","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of -5\/6*q**3 - 1\/12*q**4 + 8*q + 0 + 2*q**2. Let z be d(-6). Let f(l) = -l**2 - l - 2. Calculate f(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1\/8, 2\/5, 2\/9, 66, -0.5.\nAnswer: -0.5, 1\/8, 2\/9, 2\/5, 4, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 398199140?\nAnswer: 2, 5, 83, 239879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a day in hours?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -27*q**4 + 5. Suppose 3*h + 7 = 5*f, -49 = 5*h + 5*f - 4*f. Let l(m) = 109*m**4 - 20. Let u(j) = h*s(j) - 2*l(j). Differentiate u(a) wrt a.\nAnswer: 100*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 99.8 + -147.78. Let g = 46 + o. What is g rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lc when two letters picked without replacement from chhholhlvvjooj?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 10 = -2*d. Suppose -4*c - 16 = -d. Calculate the remainder when (3\/2)\/c*-18 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11 or 0.12?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -639048578667 - 3.\nAnswer: -639048578670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 499 + -443. What is the remainder when y is divided by 18 - ((-2 - 0) + 1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -51305\/6 and -8551 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a meter in millimeters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 - (4 - (1 + 1)). Let n be (-1)\/(-12)*15*4. Suppose 2*u - 4*h = 3*u - 20, -n*u - h + 81 = q. Calculate the greatest common factor of u and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -22*a**3 - 2*a**2 + 2*a - 1. Let u(d) = 3*d - 41 + 38 + 28. Let l be u(-8). Calculate j(l).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 (base 13) in base 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 AM and 5:23 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 441 divided by 22\nAnswer: 441\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 1)*(2 - 2 + 2*b) - 2*b + 0 + 0 + (1 + 2 - 2)*(-b + b - b) - b + 0*b + 2*b.\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4876?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4468?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -155 + 148.1. Let j = 7 + w. What is the closest to -1 in -1\/3, j, 5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125 + 64 + 61 = 5*r. Solve r = 18*c - 11*c - 14 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/28651 and -125\/11886?\nAnswer: 48649398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 38979 and 153?\nAnswer: 662643","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-640)\/(-230) - 8\/2. Let m = -1275\/46 - x. Calculate the common denominator of 57\/7 and m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*d = -24*d - 24. Is d greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*j**2 - 4 + 4)*(-10861 + 21600 - 11126) to k + s*j + f*j**2 and give f.\nAnswer: -1935","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2519257 is divided by 629769?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 415163419 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15 + 19. Solve -2*g = -m + 8 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, -4, 1, 0, -5 in ascending order.\nAnswer: -16, -5, -4, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, -5, -8, 29 in decreasing order.\nAnswer: 29, 0, -2, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 1 + 11 = 0. What is the smallest common multiple of 6 and v?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 1)*(3*s - s + 0*s) + s + 0*s - 2*s + 33*s + 112 - 112 + 4 - 4 - s + (4 - 1 - 2)*(5*s - 3*s + 0*s).\nAnswer: 35*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = a - 20, 4*a - 5 = 4*l - 9*l. Let n = l + -1. Let o be (-12)\/3 + 2 - -4. Solve o*d - n*d - 4 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 585816 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do -195 and -783\/4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1811?\nAnswer: 1811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 - 6. Let f be a\/(-6) - 23\/759. Let r(v) = -v**3 + 2*v**2 - v + 1. Let w be r(0). Is w at least as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49570.\nAnswer: 2, 5, 4957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6494?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 708 + -690. Suppose 2*l - 75 - 395 = -3*s, 4*s = 4*l + 600. Suppose 0 = 3*g - s - 440. What is the highest common factor of x and g?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -2 + (8 - (-29 - -28))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 111568120 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.17 - 0.17. Are v and 6\/5 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1126\/10 + (-2)\/(-5). Suppose -o = -3*c + 118. Suppose 3*p - 2*r - 19 = 0, 4*p - 3*p + 2*r = 9. Calculate the greatest common divisor of c and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -15*u - 9. Let k(o) = 7*o + 4. Let b(f) = -9*k(f) - 4*v(f). Let m(n) be the third derivative of -3*n**5\/20 + 2*n**2. Calculate b(m(y)).\nAnswer: 27*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 555.7077 months in decades?\nAnswer: 4.6308975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 43 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003977033343 rounded to 7 dps?\nAnswer: 0.0000398","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5424 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -5*q. Let c be w(-4). Let x be ((-1)\/2 + 1)\/((-589)\/(-29450)). Solve -x*g = -21*g + c for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*i - 11 = -172. Let f(t) = -7*t + 40. Give f(i).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -12*7\/(-420)*-35. Let o(f) = 6*f - 20. Let v(z) = -3*z + 10. What is d*v(t) - 4*o(t)?\nAnswer: -3*t + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-d**2 - d**2 + 0*d**2 + (-2*d + 5*d - d)*(4*d + 0*d - 5*d))*(6*d + 7*d + 3*d) in the form n*d**2 + b*d + y*d**3 + h and give y.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 + 12*r**2 + 17*r - 7. Let g be c(-8). Let f = g - 111. Let m(a) = -a**3 - 2 + 8*a**f + 23*a**2 - 34*a**2. Calculate m(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 - 13*d - 4. Let z be c(13). Is 0 - (4 + z - 53) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 128088 and 6786?\nAnswer: 48289176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (5\/(-3))\/(8\/96) and (-8 + (4 - -5))\/((-2)\/42)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y**4 - 76*y**3 + 344*y**2 + 304*y - 1440 = 0. What is y?\nAnswer: -2, 2, 9, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the second derivative of q**6\/540 - q**4\/4 + 2*q**3 + q**2\/2 - 108*q. Let i(s) be the second derivative of v(s). Factor i(d).\nAnswer: 2*(d - 3)*(d + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 2*j + 5522, -53*s + 4*j - 11052 = -57*s. List the prime factors of s.\nAnswer: 2, 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -4, -7 in increasing order.\nAnswer: -9, -7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -730064 rounded to the nearest 10000?\nAnswer: -730000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 516, 1032, 1548, 2064?\n\"Answer: 516*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 117 - 33 = 0. Let i = o - -28. Calculate the highest common divisor of i and 63.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(((sqrt(33)\/sqrt(3) + -3)*4)**2 + 1 + -5*sqrt(396) + 2).\nAnswer: -1292 + 504*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -4*r**3 - 3*r**2 - 10*r - 14. Suppose -2*n - 5*l = 21, -3*l = 19 - 10. What is the tens digit of h(n)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pqn when three letters picked without replacement from {x: 1, n: 1, b: 2, p: 4, a: 2, q: 2}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add 163.1876206 and 5.\nAnswer: 168.1876206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 56*x - 6226. Let r be o(111). Sort -2, -5, r, 7, 6.\nAnswer: r, -5, -2, 6, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 5*n - 10 = 0. Suppose 98193 = -n*a + 21693. What is a rounded to the nearest 1000?\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 12, 33, 84, 177, 324, 537, 828, 1209?\n\"Answer: 2*y**3 + 3*y**2 - 2*y + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 o, and 2 n when four letters picked without replacement from {f: 6, v: 1, l: 1, n: 5, o: 1, h: 2}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 36277291 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 9:25 PM?\nAnswer: 3:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 230465?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - -59e8?\nAnswer: 59e9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*a = -29*a + 2250. Which is smaller: -130 or a?\nAnswer: -130","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133 is divided by 69?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2.1, -9, 0.057, -7.4?\nAnswer: 0.057","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a century in months?\nAnswer: 3120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -54*h + 701. What is y(13)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, l: 1, j: 16}. What is prob of sequence jjjv?\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 745428804?\nAnswer: 2, 3, 23, 2700829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 21832079 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.08 (b) 0.331 (c) 115\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 3 = 4*j. Let k be 2 - (2 + (j - 1)). List the prime factors of (-30)\/(-3) + -1 - k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 444\/74*1\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 600613901 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(-36)*2*7*(-4)\/56?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -10*z. Let i(d) be the second derivative of -203*d**3\/6 - 1077*d. What is i(b(j))?\nAnswer: 2030*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 14 = w. Suppose -6 = -4*p - 4*i + 2*i, 0 = -p + w*i + 6. Differentiate -2 + v**2 + 0*v**2 - 3*v**p - 2*v**2 wrt v.\nAnswer: -8*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -15*s - 2. Let w be h(-2). Let t be (-8)\/w - 32\/(-14). Solve 5*o + t*b = -17, 33 = o - 6*o + 2*b for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1080 and 290640.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 136256, 136264, 136282, 136310, 136348?\nAnswer: 136396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -46813*d. Let f(p) = 879*p. Calculate x(f(h)).\nAnswer: -41148627*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 88*n**2\/5 - 7232542*n\/5 - 164376\/5.\nAnswer: 2*(n - 82188)*(44*n + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -430.3116 - -328.31103. Let z = -102 - g. What is z rounded to four dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*z, -4*z - 33 = v - 96. What is the remainder when v is divided by 12 - (484\/220 + 2\/(-10))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**3\/2 + 23*l**2\/2 + 52*l + 54.\nAnswer: -(l - 27)*(l + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r + 4*s + 579 - 2131, -5*r + 5*s + 1525 = 0. What is the highest common factor of 28 and r?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -96440.152 - -96078. Let z = -363 - r. What is z rounded to 2 dps?\nAnswer: -0.85","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29 + 2 + -15 + -5.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -36573, -73204, -109861, -146544?\n\"Answer: -13*s**2 - 36592*s + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 3*k = -2*w + 21, 5 = 5*w - k. Let g be -2 + (32\/10 - w). Let v = 5 + -7. Which is smaller: v or g?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/4))**(-12\/11)\/((r*r**(2\/7)*r)\/(r*r*r**(-9))) assuming r is positive.\nAnswer: r**(-694\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 34 divided by -1118\nAnswer: -17\/559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q**3\/4 + 175*q**2\/4 + 5*q - 175.\nAnswer: -5*(q - 35)*(q - 2)*(q + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -3*j**5 + 6*j**4 + 831*j**3 - 834*j**2 - 4896*j = 0.\nAnswer: -16, -2, 0, 3, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 4*r)*(-5 + 3 + 3) - 50 - 8*r + 50.\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - 10 - (-10 - 16) - (0 + 5)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -19*119\nAnswer: -2261","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8)\/40 + (-11)\/(-5). Suppose 0 = -3*n - 3*a - 42899985, -t*n - 3*a = 35050298 - 6450313. Round n to the nearest one million.\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86975 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15090 - 15092. Suppose -26 = 3*a + 79. What is the second biggest value in 4, u, a?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, -116, -402, -956, -1868, -3228, -5126, -7652?\nAnswer: -10896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1275640727 to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -5*m + 29750, -2*m - 4*g + 11894 = -0*g. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.36 and -418?\nAnswer: 418.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -2*z**5 - 14*z**4 + 2*z**3 + 14*z**2 = 0.\nAnswer: -7, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 divided by 1548.\nAnswer: -11\/774","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -599 + 601. What is the second derivative of -15 - 61 + 18 + 123*u**3 + 33*u**3 - g*u wrt u?\nAnswer: 936*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -115.6 - -116. Let h = 3 + 1. Sort l, 3, h in increasing order.\nAnswer: l, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4239)\/189 - (-20)\/(-35)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -46904 - -93817\/2. Suppose -33\/2 + 69\/2*r**3 - 3\/4*r**5 + 225\/4*r - 69*r**2 - c*r**4 = 0. What is r?\nAnswer: -11, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r - 7. Let k be b(9). Let a(q) = -12 - 2*q**2 + q**k + 0*q**2 - 10*q. Is a(-8) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8077069*c**5 + 22483323*c**2 wrt c?\nAnswer: 484624140*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -83 - -5?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 103767.4951 to the nearest ten thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 31 - 56 + 13156*v - 13158*v - 86 in the form b*v + y and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 474 a factor of 531844814?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -3*f - 5. Suppose 4*x + 6 = -2. Let q be a(x). Suppose 2*z - 10 = -0*z. What is the greatest common divisor of q and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeewwewwww. What is prob of picking 3 w?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -117 + -47 + 179 + -3 + -3 + 1 + 1?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1147831 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*c + 2*c - 3*c)*(1363*c - 636*c + 425*c + 1192*c) to the form f + i*c**2 + h*c and give i.\nAnswer: 4688","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7404?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -65867 or -65786?\nAnswer: -65867","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 47396 by -488.\nAnswer: -11849\/122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4728 = 40*y - 31528. Let t = y - 686. Let b(p) = -p**2 - 15*p + 13. Determine b(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + 0.2. Let q be (-33)\/6*640\/(-1760). Which is the nearest to q? (a) -0.5 (b) w (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 284.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -4*l + 5. Let i(a) be the third derivative of a**5\/60 - 7*a**2. Let b(o) = 3*i(o) - 3*w(o). Factor b(f).\nAnswer: 3*(f - 1)*(f + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*w + 840 = 673 - 313 for w.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand x**3 + 0*x**3 + 0*x**3 + (-x**2 - 14*x**2 - 8*x + 6*x)*(-2*x + 2*x - x)*((-2 + 1 + 2)*(2 - 2 + 6) - 1 + 4 - 4).\nAnswer: 76*x**3 + 10*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.55 to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, 0, 2\/9 in decreasing order.\nAnswer: 1, 2\/9, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.01? (a) 1\/3 (b) -168 (c) -0.17 (d) 5\/3 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2318605*v + 1630. Let z be u(6). What is z rounded to the nearest 1000000?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -10*y + 4*y - 8*y. Let q(g) = -g**3 - 3*g**2 - 3*g - 3. Let w be q(-2). Does 5 divide x(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 1\/2 (b) 9 (c) 462\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 17, b: 3}. What is prob of sequence bbgb?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + j + 11. Suppose -2*d - 9 = -a, 2*d - 4*a + 3 = -15. Let i = d + j. Solve -i = x + 3*m, x + m - 8 = 2*m for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i**3\/4 + 7179*i**2\/4 + 228951*i\/4 + 1765309\/4 = 0 for i.\nAnswer: -7147, -19, -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -779, -779, -781, -785, -791?\nAnswer: -799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7249 - 7240. What is the least common multiple of 1860 and w?\nAnswer: 5580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2096 + 125439*s + 2096.\nAnswer: 125439*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d + 2*d - 5*d**2)*(-3 + 6 + 52*d - 1).\nAnswer: -260*d**3 - 10*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 + g**2 - 2*g - 15. Let a be (14 - 0)*4\/14. What is the remainder when i(a) is divided by 17?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1017255.\nAnswer: 3, 5, 73, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 63826?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 333643 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 y, and 2 h when four letters picked without replacement from hllylhlyl.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 942 by -314.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -3*w - 2. Let n be u(-2). Let i(r) = -6*r + n*r + 0*r. Let o(s) = 0 + 0 - 17*s**2 + 16*s**2. Give o(i(t)).\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 46 + 12*o**2 - 26 - 20 to h*o + a*o**2 + j and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -70.83758 + 70.93. Round w to three dps.\nAnswer: 0.092","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = -16, -25*g - 11 = 3*z - 27*g for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -22*v**3 + 6*v**2 + 22*v + 36. Determine q(-3).\nAnswer: 618","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5775019 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1531, -992, -453, 86?\nAnswer: 625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -64.998 times 4\nAnswer: -259.992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*g**2 - 24*g**2 + 55*g**2.\nAnswer: 5*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 396782.9 millennia in decades?\nAnswer: 39678290","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/6105 and -43\/5.\nAnswer: 6105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r - 3 = -7*r. Let y be (-7 + -1 + 5)*(-68)\/r. Calculate the highest common factor of 34 and y.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 49 and 1127.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4*(-3)\/((-24)\/(-47696)). Suppose -29*l = -n - 18086. What is the hundreds digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 58 + (-12 - 8 - (0 - 4)).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/6 and 40\/11177591.\nAnswer: 67065546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 167\/406098 and -61\/15.\nAnswer: 2030490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 + a**3 + (0*a - a - a)*(3*a**2 + 0*a**2 - 4*a**2) - 3*a**3 + 0*a + 2*a - 17*a**3.\nAnswer: -17*a**3 + 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 603 = -17*b - 537, 10 = 5*b + f for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 7:51 PM?\nAnswer: 7:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mzm when three letters picked without replacement from {z: 3, m: 11}.\nAnswer: 55\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3993\/(-123398) - 152\/(-6004)\nAnswer: -1\/142","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) 1\/3 (b) -2 (c) -13 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/((k\/(k*k**(-20)))\/k))\/k*(k**(-3\/5)*k)\/k assuming k is positive.\nAnswer: k**(-98\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 - -14. Let d be 4\/m*(-24)\/(-16). Solve -2*v + 5*j + d = 6, -j = -1 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -918 - -1642. What is the least common multiple of j and 4?\nAnswer: 724","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 11681?\nAnswer: 35043","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1262 + -670. What is the remainder when 1803 is divided by y?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -421304 divided by 105326.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -3\/7 (c) 1\/35 (d) 1\/3 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*b**3 - 3 + 16*b**3 - 8*b**3 + 0*b**3 - 24 to the form z*b + l*b**3 + u*b**2 + j and give l.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -210 or -211?\nAnswer: -211","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1343 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4694909939 plus 3?\nAnswer: 4694909942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let x = 1120 - 892. What is the greatest common factor of x and 1976?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*r + 3*r. Let s be 10*-1*r\/2. Suppose 2 = 2*k - k + 2*l, 4*k - s*l = 47. Solve -k = 2*p - 0*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*d + 15*d + 4. Let r = 7 - d. Suppose 332 = 4*o - i, r*o + 0*i - 244 = 2*i. Is 42 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 5*q**2 + 3*q - 8. Let l(y) = 4*y**2 + 2*y - 7. Let c(g) = 4*l(g) - 3*z(g). Let s(r) = -r - 1. Let v be s(-1). Calculate c(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 118326 and 1998.\nAnswer: 1064934","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.59622058 to zero decimal places.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21770 = -49*j + 44*j. Is 13 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/1784 and -31\/2007?\nAnswer: 16056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-601 - -504) + (2 - -106)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of h**3\/3 - 9*h**2 + 49*h + 212. Calculate j(15).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, k: 1, x: 5, w: 1, m: 4, j: 1}. What is prob of sequence kx?\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-2 - -18)\/1 - 0 and (-1 - 22\/(-4))*4?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 410 + -415. Calculate the lowest common multiple of 13 and (-9 + -6)*((-30)\/(-9))\/h.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 560 and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*n - 129*n - 201*n + 6768 = -24*n for n.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 100*(-48)\/55200 + 609\/(-23)*(-2)\/57. Solve -x*c - 70\/19*c**4 + 0 - 314\/19*c**3 - 140\/19*c**2 = 0 for c.\nAnswer: -4, -2\/7, -1\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 27*p**3 + p**2 - 1. Let c be (-3)\/((-6)\/14) + (-568 - -560). Give l(c).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of -1\/7*x**2 - 3\/14*x**4 + 3 - 2\/35*x**5 + 0*x - 2\/7*x**3. Factor i(l).\nAnswer: -2*l*(l + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*j + 51*j**2 - 6 - 52*j**2 + j as y*j + a*j**2 + z and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 63*d + 79*d - 127*d to a*d + q and give a.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 62 - 28. Calculate the lowest common multiple of h and 22.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -7*g - 1. Give x(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 25219915 a multiple of 364?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y**4\/7 + 25572*y**3\/7 - 47446*y**2 + 306552*y\/7 = 0 for y.\nAnswer: 0, 1, 12, 12773","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -45120 or -43936?\nAnswer: -43936","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1519)\/(-13) - (-54)\/351. Suppose g - 997 = -4*s. What is the remainder when s is divided by 46?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -324672 divided by 1216?\nAnswer: -267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 105\/24 + (-15)\/40. Let s(i) = -i**3 + 2*i**2 + 8*i + 2. Let p be s(d). Solve -p*h + h + 5*q = -15, -h + 4*q + 12 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xuuyyhyxyhyhuhyyxxh. What is prob of sequence uxh?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22635?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -g**4*z - 155*g**4 - 4*g**2*z - 2*g**2 + 2*g*z wrt g.\nAnswer: -24*g*z - 3720*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -2*i**3 + 21*i**2 - 80*i + 605. Give f(14).\nAnswer: -1887","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3 + (-310)\/3348*(-5574)\/140 and 34\/77.\nAnswer: 2772","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10683\/7 + -1527. Let f = 0.0279 + -0.3279. Sort f, -1\/2, s.\nAnswer: s, -1\/2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -221027*c**2. Let f(a) = 22*a**2. Calculate f(z(s)).\nAnswer: 1074764564038*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 328 and 2788?\nAnswer: 5576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-4*7\/1960)\/(168\/150) and 47\/7?\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 60\/(-8)*(-260)\/(-25). Let g = -79 - x. Put -3, 0, 2, g in descending order.\nAnswer: 2, 0, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 4 = 2*n + 2, -3*a + 6 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 10 = -4*o - o, o = 5*j - 6. Let g(s) = 2*s**2 - 2*s + 2. Calculate the smallest common multiple of g(j) and (1\/2)\/((-4)\/(-144)).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6156 divided by -101.\nAnswer: -6156\/101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 14) in base 12?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6916 and 468?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 732590456 is divided by 15387?\nAnswer: 15386","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zrqz when four letters picked without replacement from zzzesqzezerqzzzzzqss.\nAnswer: 3\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 42 + 89d68?\nAnswer: 89daa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzztttzzhtzzttzztzz. Give prob of sequence tht.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 74821 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 295.998594 + -296. Round s to four decimal places.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9871?\nAnswer: 9871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*z - 30*j = 89*z - 9*j - 45, -2*j + 31 = z for z.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -465, -475, -483, -489?\n\"Answer: c**2 - 13*c - 453","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -3*a**2. Let k(s) = 2*s**2 + 13*s. What is k(c(t))?\nAnswer: 18*t**4 - 39*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 940403531 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 + 5*r**2 + 1. Let g(o) = -o - 2. Let c be g(-4). Suppose 0 = 5*l - 5*i - 50, -l = 2*i + 7 - c. Let p be b(l). Is p < 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 6*l + 3. Let s(a) = 4 + 2*a + 0*a - 2 - 1. Let g(q) = 3*f(q) - 8*s(q). Differentiate g(t) with respect to t.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9923874km to millimeters.\nAnswer: 992387.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of -r**5\/60 + 8*r**3\/3 - 50. Let k(v) be the third derivative of d(v). Let q(p) = 40*p. Determine q(k(a)).\nAnswer: -80*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2*x**3 - 11*x**2 + 9*x - 2. Calculate h(4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -6*o - 195. Determine a(-33).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -36*g + 172. What is the nearest to g in -1, 3, 0.07?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*w**5 - 4175*w**4 - 78545*w**3 + 33221775*w**2 - 88121440*w + 54982400 = 0. Calculate w.\nAnswer: -176, 1, 5\/3, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 9*a = -420. Let d = a - -88. Suppose -d*g + 49 = u + 5, g - 4*u = -6. Solve 2*v - 4*y + g = 0, 0 = -2*v + v + 4*y - 15 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 - 10*b**2 + b + 12. Let h be f(-10). Suppose -h*k + 80 = -8. List the prime factors of k.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of w**9\/720 - 33*w**8\/2240 + 3*w**7\/140 + w**6\/30 + w**4\/2 - 28*w. Let t(o) be the third derivative of f(o). Factor t(l).\nAnswer: 3*l*(l - 4)*(l - 1)*(7*l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 36374 or -25.8?\nAnswer: -25.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -2*m**3 + m**2 - m - 1. Let x(a) = a - 4. Let c be x(3). Let d be j(c). Let u be (-2 - (3 - d)) + 8. Solve 0 = -4*r + u*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 892237 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -2*l - 3. Let b(v) = -139*v + 50. What is -4*b(u) - 68*d(u)?\nAnswer: 692*u + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -260111*g**3 + 272*g**2 + 148*g?\nAnswer: -1560666","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 2978?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1.4*-2332\nAnswer: 3264.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 46*h**2 + 404*h - 10317. Calculate m(-20).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1335431 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -4*f + 5*n, 6*f - 16 = 2*f - 2*n. Suppose -f*c + 43 = -4*s, 3*s - 29 = -0*c - 5*c. What is the remainder when 16 is divided by c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/38 or 28.7?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 16616, 0.4, -2\/15, -0.5 in descending order.\nAnswer: 16616, 2, 0.4, -2\/15, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2 - 12*n - 16. Give f(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1943 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 92.74337 millimeters in centimeters?\nAnswer: 9.274337","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 10, -2, 738 in descending order.\nAnswer: 738, 10, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 11\/(-2)*-6*(1 - 2). Let w be (-57)\/(-66)*38 - 6\/o. Calculate the highest common divisor of w and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.20872 + -0.09128. Which is the third biggest value? (a) 5 (b) f (c) -193 (d) 0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - r - 52168, 8*a - 9*a + 13047 = r. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 24\/(-4)*(5 - 3). Let a = 15 + j. Solve 0 = -a*z + 2*z + 3 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*k**2 + 92*k - 50*k - 51*k.\nAnswer: -55*k**2 - 9*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*i**2 - i**2 - 5*i**2)*(0 + 0 + 3*i**2) - 128*i**4 + 119*i**4 + 100*i**4.\nAnswer: 88*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1976\/(-190))\/((-1120)\/350).\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -91 + 17*101336\/18921?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5897*i - 175 = 2947*i + 2955*i - 23*q, -2*i = q + 70 for i.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 20*a**2 + 4*a. Let g be u(-1). Suppose -982 = -g*f + 2634. Is 3 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33) + sqrt(3300)*-1)\/(sqrt(12)*2).\nAnswer: -9*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11101221102 - 22012?\nAnswer: 11101122020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -228 + 606. Let j = z - 370. Solve -j*p + 6*p - 4 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o = -4*n - 7*o + 11, 3*o + 18 = 5*n. Let p be 27\/n + (-8)\/2. Suppose -3*q + g + 160 = 0, p*q - 268 = g + g. List the prime factors of q.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20895574 divided by -10447787\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 839 - 497 = -19*t. Is 171518\/8 + t\/24 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -48*24\/(-128) + (-90)\/12.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -2*s**2. Let v(t) = 18*t + 17*t - 13*t. What is v(r(d))?\nAnswer: -44*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 383627 is divided by 130.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 + 37. Calculate the remainder when 45 is divided by r.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**3\/5 + 1152*h**2\/5 + 167034*h\/5 + 329476\/5.\nAnswer: 2*(h + 2)*(h + 287)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + -5. Let f = 11 + d. What is the least common multiple of 23\/f + 4\/12 and 9?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3903 and 31224?\nAnswer: 31224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 277*n + 23. Let y(m) = 47*m + 4. What is 6*j(a) - 34*y(a)?\nAnswer: 64*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5670 - -10097. What are the prime factors of m?\nAnswer: 19, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2541 divided by 2911.\nAnswer: 2541\/2911","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 PM and 1:16 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -2*f**3 - 16*f**2 - 16*f - 10. Let s be h(-7). Let w(j) = 3 - j**2 + 4*j - 1 + 1. Let l be w(s). Solve -l*k - 20 = 4*g + 3, 3*k - 17 = 4*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a kilometer in meters?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 0.1, 1\/3, -0.4, -1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -5*y**5 - 1400*y**4 + 28970*y**3 + 169760*y**2 + 247035*y + 107640 = 0.\nAnswer: -299, -3, -1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/506 and -71\/276.\nAnswer: 3036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 352 - 2560 = -6*l. Suppose 2*o + 2*r + 3*r = -l, -4*o - 3*r = 722. Let b = -100 - o. What are the prime factors of b?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11.4027nm to kilometers.\nAnswer: 0.0000000000114027","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2617 - 2278 - 982 - 868)*(2*b - b**2 - 2*b) to the form l*b**2 + k + q*b and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1603146?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**2 - 22*r - 64. Let t be o(25). Suppose 0 = 7*c - t*c + 4. Let l(v) = 2 - 15*v - 3*v - 1. Calculate l(c).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 86.929*2\nAnswer: 173.858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 11437*u**2 - 11821*u**2 + 1 + 3*u as f + w*u**2 + d*u and give w.\nAnswer: -384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 126 + 63.6.\nAnswer: 189.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2a4e - 9bf?\nAnswer: 208f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 43 - 10. Suppose -8*a + f = -6*a - w, 0 = -a + 2*w + 18. What is the remainder when 246\/4 - 1\/(-2) is divided by a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 282154915*m**4 - 1535*m**2 + 11*m - 1245 wrt m.\nAnswer: 6771717960*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g. Let c(d) = -1674*d - 162. Let b(n) = -152*n - 15. Let w(m) = 54*b(m) - 5*c(m). Give w(o(r)).\nAnswer: 324*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -46\/7 in -4, -1, 2\/13?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 689 = 341*k, -339*o + 342*o + 15 = 3*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cgcc when four letters picked without replacement from vgggmcmvgcgcc?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 - 3 - (-1 - (-11 - (-11 - -6)))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (28 + -3)\/(((-11)\/(-210))\/11). What is k rounded to the nearest 100?\nAnswer: 5300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 AM and 9:20 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-2 + (6*(sqrt(70) + (sqrt(70) - sqrt(70)*4)))\/(sqrt(10) - (sqrt(90)\/sqrt(441) + sqrt(10)))))**2.\nAnswer: -336*sqrt(7) + 49396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*l - 16*l**3 + 14*l**4 + 7*l - 4*l**5 + l**3 + 10*l**2 - 3*l**3.\nAnswer: -2*l*(l - 1)**3*(2*l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -39.4 and -2397697.\nAnswer: 94469261.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -125*b**2 + 1735*b + 238. Give z(14).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -7*t + 7*t - 8*t**3 + 1 - t**2. Suppose 4*r + 201 = 197. What is the smallest common multiple of 14 and c(r)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -36184 - -36184. Let u = -0.01 + -0.99. What is the closest to l in -2, -4, u, -5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-6\/7)*l\/(l\/(l\/l**5)))**21 assuming l is positive.\nAnswer: l**(-102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a micrometer in nanometers?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1228 = -3*b - l, -2*l - 400 = -b - 0*b. Is b a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -45 - -52. Let c(q) = -q**3 - 6*q**2 - 2*q. Let f be c(-7). Calculate the highest common factor of f and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 v when two letters picked without replacement from {v: 1, l: 1, b: 2, g: 2, x: 1, k: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000923 to five decimal places.\nAnswer: -0.00092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (26 - 8) - 8\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 202395 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2716, 0, 3, 6 in descending order.\nAnswer: 2716, 6, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 232203132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1037779782 and 9932?\nAnswer: 4966","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86*r**2 - 2*r + 258*r**2 + 2*r - 107*r**2 - 85*r**2.\nAnswer: -20*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(49) - ((sqrt(3136) - (sqrt(3136) - sqrt(3136)*1) - sqrt(3136)) + sqrt(3136) + sqrt(3136) + sqrt(3136) - sqrt(49)))\/sqrt(7).\nAnswer: -22*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4 + 10 + -17 + 1*3. Solve 5*u - 14 + 24 = j for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 35055196?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -2*a**3 + a**2 + a - 3. Let l be c(-2). Calculate the lowest common multiple of ((-12)\/5)\/((-6)\/l) and 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jluuujzucuculaauuuu. Give prob of picking 1 z and 1 l.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5411142 millilitres in litres?\nAnswer: 0.0005411142","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -247 + 249. Sort x, -1, 1.1 in ascending order.\nAnswer: -1, 1.1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 + 7*l**2 - 10*l + 8. Suppose -2*z + 3 = 5*i, 3*z - 5 = 3*i + 10. Let y be u(z). Is 22 a factor of 2 - (-102 - y\/(-4))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 340 divide 62740?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 1 - 4, -9 = 4*o - v. Let r be o\/1 - 13\/(-15). Which is smaller: 0 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of i**4\/14 + 4*i**3\/7 + 11*i**2\/7 + 12*i\/7 - 10. Factor a(v).\nAnswer: 2*(v + 1)*(v + 2)*(v + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*s**2 + 227 - 227 + 17*s**2 + 2*s**2 + 16*s**2.\nAnswer: 31*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 - 4. Suppose o*b + 106 = -319. What is the remainder when 12 is divided by (-1)\/4 - b\/20?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o**3 + o**3 - o**4 + (0 + 2*o**2 + 0)*(-183*o**2 + 22*o**2 + 35*o**2) - 6*o**4 + 2*o**4 + 3*o**4.\nAnswer: -254*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - w + 331 = 0, -2*f + 4*f = -4*w + 328. Suppose i + 23 = 4*o - f, 2*o - 92 = -2*i. List the prime factors of o.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -543 + 542.4. Let y = 11 - 7. Which is smaller: y or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28\/6*20\/(-70)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - 0.8. Let j be (-13)\/(-28) - ((-3476)\/308 + 12). Let g = 67 + -601\/9. What is the nearest to 1 in j, g, w?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 2*r + 74 - 3*r - 20 + 50 - 2*r. What is p(39)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36, 181, 434, 801, 1288?\nAnswer: 1901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -390*k + 377*k - 477 + 48 = 0 for k.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 - 5*m**2 + 3*m + 4. Give n(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + 4*v - 162. Let i = v + -19. Solve 5*p + 33 = i for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2 and 244?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of -h**7\/280 - h**6\/120 + h**5\/8 - 3*h**4\/8 - 22*h**3\/3 + 48. Let n(x) be the third derivative of c(x). Factor n(j).\nAnswer: -3*(j - 1)**2*(j + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 474891 and 59.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7833*d*j**2 - 50*d*j - 8881*j**3 - 3219*j + 68 wrt j.\nAnswer: 15666*d - 53286*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y**4\/4 + 278827*y**3\/4 - 5811399*y**2\/2 + 4695672*y - 1859680 = 0. What is y?\nAnswer: -92984, 2\/3, 1, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 2*y**2 + 10*y + 3. Is j(-5) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2325 divided by -775?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 4 + 1 - (-454 - -394).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 2*p = -3*p. Suppose 8*q - q - 126 = p. Calculate the least common multiple of 3 and q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 PM and 10:33 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are -14276\/19361 and -2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*o**3 + 2*o**2 - o**2 + 2 + 0*o**3 - 5 to the form h*o + r*o**2 + w + k*o**3 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 717521 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -34.65 - -34.54. Which is the second biggest value? (a) -3 (b) 2 (c) -6 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 646679 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 4 = 2*x. Let n be x\/(-4) + 478\/4. What is the highest common factor of n and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 1414 = -164. Suppose u = 4*k - 2*g, g - 50 - 203 = -4*k. Is 7 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 6, -57, -1, 3 in descending order.\nAnswer: 6, 3, -1, -5, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvvv when four letters picked without replacement from rvrvvvvvv.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (2682\/4470)\/(2\/60)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w + 1 - 4 - 2 - 7*w + 2*w + 2*w + (-2*w + 0 + 0)*(3 + 0 - 1) + 5*w - 4*w + w + 2 - w - 2 - 1 + 1 - 2*w.\nAnswer: -10*w - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 22 = 6 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 5*k**2 - 328*k + 1680. Calculate g(60).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1912238401 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1547179 to the power of 1\/2, to the nearest integer?\nAnswer: 1244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - 0. Let f be ((-3)\/4)\/(t\/(-28)). Let x = f - -43. Calculate the greatest common divisor of 11 and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6984\/(-104) - 12\/(-78). Suppose 2*h = 4 + 354. Let m = p + h. What is the greatest common factor of m and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6988.8nm in centimeters?\nAnswer: 0.00069888","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -88570 by -2605.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 5*n**2 + 4*n + 2. Let c(x) = 4 - x - 3 + 2 - x**2 - 4. Give -2*c(s) - r(s).\nAnswer: -3*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-12)*y*y\/(y**(-12\/5)*y))**(-1\/9)*(y\/(y\/y**(-9\/7))*y\/(y\/y**(-3)))**(-21\/8) assuming y is positive.\nAnswer: y**(2197\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the second derivative of v**3\/6 + 6*v**2 + 9*v. Let q be f(-12). Suppose 0*g - 4*g + 148 = q. What are the prime factors of g?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1215873 + -1215873.675137. Let s = x + 0.6722. Round s to four decimal places.\nAnswer: -0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*q + 3503 = -4687. Does 5 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98\/(-392) + (-609)\/(-4) is divided by 131?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, z: 1, m: 4, g: 2}. What is prob of picking 1 k and 1 g?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-24)*45\/(-6)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*p + 5*m + 30 = -14*p, -p + m = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*i + 40*i - 15*i.\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 5, f: 5, i: 1, x: 5, d: 2}. What is prob of picking 1 h and 1 d?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*m + 3*m + m)*(2 + 2*m - 2) + (-m - 3*m + 5*m)*(-8*m - 26*m + 5*m) to the form x + z*m + j*m**2 and give j.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-114)\/(-171)*15\/2. Solve -h = -i*h - 20 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 q when three letters picked without replacement from {t: 17, q: 2}.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -861, -1916, -3165, -4608?\nAnswer: -6245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 405389.9 and 3920.714?\nAnswer: 401469.186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p + 0*p + 4*p)*(-4 + 4 - p) + 4*p**2 + 3*p**2 + 26*p**2.\nAnswer: 29*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -930.98 times -17.3?\nAnswer: 16105.954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 10*o - 5. Let a be v(2). Suppose -3*s - 21 = -4*l, -3*s = -4*l + l + a. What is the derivative of 23 - 38 - l*k**4 + k**4 wrt k?\nAnswer: -20*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -49*n**2. Let m(w) = -2*w + 43. Let h(i) = 497*i - 12212. Let o(s) = -h(s) - 284*m(s). What is o(j(p))?\nAnswer: -3479*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -87*i + 2. Suppose 2 = 3*g + 8. Let n be a(g). Let j(b) = 4*b**2 + 55*b - 110. Let f be j(2). Calculate the greatest common divisor of f and n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -0.6. Let i = -2 - 3. Which is the second biggest value? (a) 3 (b) n (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (36 - 31 - (4 + 1))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11120222112111 (base 3) in base 2?\nAnswer: 1001010011110010100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2200)\/80*(-12)\/(-40)*(-4 - (-60)\/9)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15261075 is divided by 33?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 256 is divided by 52.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 29498 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34295*a**4\/2 - 16245*a**3\/2 - 93480*a**2 - 99200*a - 30720 = 0. Calculate a.\nAnswer: -16\/19, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, 0.53, -1\/7530, 52, 1\/6?\nAnswer: -1\/7530","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m - 19 - 16. Let p = -6 + 15. Let q = m + p. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 58?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 - ((-1 - -2) + -1). Suppose 3*x - 7 = -2*r - g, -r = 0. Suppose 0 = -x*h + j + 2, 4*j + 2 = -4*h - 6. Which is greater: h or -0.04?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1792*c - 7*c**2 + 1777*c - 7 - 3580*c to the form q*c**2 + p*c + v and give v.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.971 + -0.971000358. Round h to six decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153)\/(sqrt(63)\/(5*sqrt(7))))**2.\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 172.\nAnswer: 3\/172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-2\/45))**(-6)\/(l*l**(4\/3)*l\/((l*l**27*l*l)\/l)) assuming l is positive.\nAnswer: l**(299\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 4*q + 4*l, 0 = 307*q - 309*q + 4*l + 8 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 387 and 43.\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4798723 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 4978 = -4*m - 3*u, -5010 = -2*m - 5*u. What is the tens digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 3\/7, -91, -0.02, 44, -1\/3?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/(g**(1\/4)\/g)*g)**(-5)*g\/((((g\/(((g*g\/(g*g\/g**(-1\/3)))\/g)\/g))\/g)\/g)\/g*g)*g*g**5)\/(g**6\/(g\/(g*g**(-1\/2)*g)*g))**(2\/139) assuming g is positive.\nAnswer: g**(-21955\/1668)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -31 (b) -42 (c) 1\/9 (d) -1 (e) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 3*r - 16 = 0, -c - 8 = -3*c + 5*r for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 3*l - 34, 5*l - 60 = -3*k + 38. Suppose -5*h = -4*q + 9*q - 170, 5*q = -4*h + 166. Are q and k unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.451 and 1.2.\nAnswer: -0.5412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.621 + -91.621. Which is the second smallest value? (a) m (b) 2\/5 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*g + 270 = 25*g. Suppose -g + 1170 = 10*d. Which is the biggest value? (a) 2\/5 (b) 5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*a = -504 - 1296. Let t(s) = -75 - 72 + 3*s + a. What is t(-3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -70067.\nAnswer: -1\/70067","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 - (10 + 0 + 7 - 1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + s - 9 = 0, -3*t = t - 5*s - 27. Suppose n = -t*n + 588. Calculate the greatest common factor of 21 and n.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.4 + -0.5. Suppose -3*u = 4*p + 3, u + 4 = 2*p - 3*u. Let h be (-3 - p)*2\/3. What is the third biggest value in -2\/11, h, k?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -971 + 487. Let u be 88\/x - ((-48)\/22 + -1). Let q be -1 - 3 - (-33)\/u. Solve -q*l = -3*l + 12 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63356897 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-28)\/(u\/u**(-7\/2)) assuming u is positive.\nAnswer: u**(-65\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 6 - ((-5 - 2) + 9 + -20)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and -330?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 139128 by 3.\nAnswer: 46376","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of -m**3\/3 - m**2 - 93*m. Calculate i(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 382206685?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p**(-17\/2)*p*p))\/(((p\/p**(-15\/7))\/p)\/p*p))\/(p**(-27)\/(((p\/p**(-23\/4))\/p)\/p)) assuming p is positive.\nAnswer: p**(1039\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 159929 and -0.1741.\nAnswer: -27843.6389","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 116 and 1720?\nAnswer: 49880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 + 4*i**2 - 4*i + 7. Let q be v(3). Suppose -99 + 7 = -q*f. Suppose 2*c = -3*u - f, 3*c = 7*c - 2*u + 22. Do 0 and c have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 274369 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*u**3 - 26*u - 160*u**2 + 60*u - 34*u + 0*u**3 in the form a*u**2 + q*u**3 + p*u + s and give a.\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1747.7927 and 2.\nAnswer: 1749.7927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*k**2 + 5*k**2 + k**3 + 3*k**4 + 6*k**4 - 17*k**4 - 10*k**4 + (-28*k**2 + 28*k**2 + 12*k**4)*(-3 + 4 - 2).\nAnswer: -30*k**4 + k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -1 + (-130 - -123 - (0 - 8) - -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, 3\/446, 5, -2\/9, 3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 5*h - 959 = 0, -148 - 79 = i - 3*h. Let c = i - -336. Is c a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 2*i + q, 5*i = 4*q + q + 25 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18 - 13.5. Let n = 4 - o. Let v = -0.9 + -0.1. Which is the nearest to v? (a) n (b) -0.4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -136 bigger than -34?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -12425 + 234?\nAnswer: -12181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.3 (b) -2 (c) -1\/2 (d) -375 (e) -4\/83 (f) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a meter in millimeters?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 65.6 - 15. Let o = k + -7.6. Let y = o + -42.999865. Round y to five dps.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16295 is divided by 3986.\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.151 - -68.151. Let d = 32 - w. Which is greater: 0.1 or d?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes before 4:22 AM?\nAnswer: 2:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 21\/5 of a kilogram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.038, 3.09, 0.2, -8\/7, 2 in descending order.\nAnswer: 3.09, 2, 0.2, -0.038, -8\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104)*-4)\/sqrt(8)*-6 + 4 - ((sqrt(104) - (-2*(sqrt(104) - (2*sqrt(104) + sqrt(104) - sqrt(104))) - sqrt(104)))\/((sqrt(8) + sqrt(128))*3))**2.\nAnswer: 4 + 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 2*b - 36 = 0, -b - b + 24 = 5*m. Let l(u) = 11*u + u - 4*u. Let r(z) = -z. Let c(f) = m*r(f) + l(f). Let w(k) = 4*k. Give c(w(g)).\nAnswer: 8*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0471439472 to 2 decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 6*g - 2. Let x(o) = -8*o + 3. Let d(z) = 4*x(z) + 6*y(z). Let i be d(0). Is (-3 + 7)*((-4)\/(-2) + i) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 10*p - 14. Let z = 6569 + -6564. Give d(z).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19458 is divided by 1767?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = 2*z - 6, 37*t - 6 = -2*z + 42*t for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -3*j**2 - 2*j - 7. Let w(z) = -2*z**2 - z - 7. Let i(t) = -3*g(t) + 4*w(t). Let l = -18 - -12. What are the prime factors of i(l)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**15)**(1\/12) assuming w is positive.\nAnswer: w**(-7\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 6 = -3*r, -4*r = 3*x - 0*x - 19. Suppose -5*w + 2*w - 3*i = -33, 3*w - 5*i - 73 = 0. Let j be -1 - -3 - w\/r. Is j < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 1096?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.43205338 + 55.\nAnswer: 55.43205338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 9 = -p, 14 - 10 = -2*k for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 7193.88 from 0.1904072.\nAnswer: -7193.6895928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**2 + b - 8 - 7*b - 2*b + 4*b. Let l be p(6). What are the prime factors of ((-98 - l) + 2)\/(-2)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 7, -11.3, -7, 1\/2 in descending order.\nAnswer: 10, 7, 1\/2, -7, -11.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 4 = -2*n. Let l = n - 1. Let m be 1\/(l + 5\/(-3)). Which is smaller: 2 or m?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*r + 5*r**2 - 58 - 6*r**2 + 3*r + 4*r**2 - 3*r to h + n*r**2 + w*r and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 131*d - 70456 = -5*d - 14152. What is the highest common factor of d and 162?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 39\/9 + (-2)\/6. Suppose -i*b = 4 - 16. Let c(f) = 5*f - b*f - 3*f. What is c(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c + 44 + 40 = 0. What are the prime factors of 117\/c - 17\/(-68)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 168 = 53*h - 9*h + 696 for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1625*c + 1627*c - 3252*c + 849*c**2.\nAnswer: 849*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 940?\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 5 + 1 = 0. Suppose 2*i = -q*x + 4, 0 = -4*i - x + 6 + 2. Let l(z) = -i*z - 314 + 314. Let c(r) = 3*r. What is c(l(t))?\nAnswer: -6*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*v - 4*l - 16, -11*v + 2*l - 95 + 100 = -6*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 212 - 52 = 0. Suppose -c - c = -10. What is the greatest common factor of c and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of 16*w**3 - 45*w + 46. What is the first derivative of g(h) wrt h?\nAnswer: 96*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/10 + (-21)\/15)*(-297)\/(-1386)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) -51 (c) 0.12 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 274 + -142. Is 9 a factor of x\/8 + (-9)\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3\/8 + 51*n**2\/4 + 1971*n\/8 + 1771\/4.\nAnswer: (n + 2)*(n + 23)*(n + 77)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zbzzzfzzzfzzzzf. Give prob of picking 3 z.\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mz when two letters picked without replacement from zzmmmz?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 2581.125ml?\nAnswer: 2.581125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -5 (c) -50\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -349931\/60312 - -26\/2513. Find the common denominator of 7 - ((-2765)\/(-441) - 21\/(-49)) and u.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*d**3 + 2*d**3 - 2*d**3 + (0*d - d - 2*d)*(0*d**2 - 2*d**2 + 0*d**2 + 3).\nAnswer: 9*d**3 - 9*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 PM and 8:48 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2186 = 703*b - 14686 for b.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**4 + 3*w**4 - 4*w**4 - 3*w**3 + 3*w**3 + w**4 + (-2*w**3 + 3*w - 3*w)*(0 + 0 - 2*w) + w**4 - 3*w**4 + w**4)*(2*w + 12*w - 25*w).\nAnswer: -55*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 314682.9 millimeters in micrometers?\nAnswer: 314682900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g - z + 40, -8*g + 4*z + 40 = -3*g. Solve g = 2*d - 4*x, -2*d + 5*x = -12 - 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a - 219 - 546 = 0. Let g = a + -84. What is the closest to 3 in g, 0, -1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -13*c. Let u(b) = 5*b - 4. Let h(l) = 6*l - 5. Let x(m) = 4*h(m) - 5*u(m). Determine x(d(f)).\nAnswer: 13*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.9 - 0.9. Let y be (-2 - (-2)\/(-17)) + 2. Which is the biggest value? (a) l (b) 0.4 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 1074.\nAnswer: 1074","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/6 + (-323)\/3. Suppose -10 = -5*j + 5*u + 30, 3*j = u + 24. Let t = j - z. Is t a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (16\/20)\/(84\/(-540890))*-3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8*f + 4*f - 2*f)*(-3*f**3 + 2*f**3 + 0*f**3) in the form i + h*f**4 + s*f**3 + k*f + r*f**2 and give h.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1057 - 2276 = 145*a + 1083 - 356 for a.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1110001111 (base 2) to base 3\nAnswer: -1020202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11989 is divided by 286.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.1765 - 88.1765. What is the second biggest value in 4\/5, -3, j?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 586.2174 + -771.209. Let w = x + 185. Round w to 3 decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (-51)\/(-21)) + (-31 - -33)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 + 2*l**2 + l + 1. Calculate g(-3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 312488 is divided by 62495?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of h**6\/30 - h**5\/30 - h**4\/24 - h**3\/6 + 52*h**2. What is y(2)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - 0. Suppose y - 14 = -3*y - 2*w, 0 = -5*y - 5*w + 30. Let s be (y\/6)\/((-34)\/(-136)). Which is the second biggest value? (a) -10 (b) l (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18873, -37897, -56933, -75987, -95065?\nAnswer: -114173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109870342.\nAnswer: 2, 54935171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000071961201 to seven dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, 2, -3 in descending order.\nAnswer: 16, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 347946, 2784024, 9396200, 22272522, 43501038?\n\"Answer: 348008*n**3 + n**2 + 19*n - 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 4168 + 4162 = -2*a, -4*a = -2*c - 2 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1872)*-5 + 5)*6)**2 - (sqrt(91) - -5*(sqrt(91)*-1 - sqrt(91)))\/(sqrt(14)\/sqrt(2)*-5).\nAnswer: -108009*sqrt(13)\/5 + 1685700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 0.1, -2\/11, 2\/7, 1 in descending order.\nAnswer: 1, 0.3, 2\/7, 0.1, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is four fifteenths of a decade in months?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-5)*l**(1\/5)\/l*l*(l**(-6)*l)\/l**(-4\/7))**(3\/14) assuming l is positive.\nAnswer: l**(-969\/490)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3491 + -3333. What is the remainder when k is divided by 21?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-9)\/(-6))\/((-3)\/(-8)). Suppose 4*y - 16 = -q, -4*q + 2*q - 2*y = -8. Suppose q = -m - b*m. Solve m = -0*t - 4*t + 8 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, 1, -0.116, 0.1 in descending order.\nAnswer: 1, 1\/5, 0.1, -0.116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -30820 - -31018. Calculate the smallest common multiple of b and 3150.\nAnswer: 34650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 16 in 0.5, 108, 0.3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 1746*d + 28. Let s be z(3). Let c = s + -3039. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 0 + -1 + 1 - (19 - 1).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express l - l**2 + 7 + 0 - 3 in the form j*l + b*l**2 + o and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11979 (base 16) to base 5.\nAnswer: -4301212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*t + 9*t - 3*t + (-3*t + 2*t + 2*t)*(-3 + 5 + 0).\nAnswer: 15*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:53 PM and 3:46 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 15, e: 5}. Give prob of picking 3 k and 1 e.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/11, -2\/13, -43\/5, 0.93?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5453\/4 - -1376. Find the common denominator of j and 69\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b (base 14) to base 4.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4 + -1 - 66)*1\/(-3). Find the third derivative of k**2 - 9*k**2 - c*k**3 - 15*k**2 + 3*k**2 wrt k.\nAnswer: -126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (64\/(-672) - (-152)\/420)\/(8\/6)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**2 - 2*h**2 + 4*h**2)*(-25*h - 13 + 13) + 101*h + 2*h**2 - 49*h - 50*h + 3*h**3 + 4*h**3 - 3*h**3 + h**3.\nAnswer: -20*h**3 + 2*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4420 = -39*m + 7319. Is 6 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 + 7.18. Let s = y - 14.18. Let n = 14.4 + s. What is the second smallest value in n, 5, -2\/3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 2*d - 2. Let o be w(-1). Let s be (6 + -2)*2\/o. What is the units digit of (-1)\/(-2) - 143\/s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 405.686 millilitres?\nAnswer: 0.405686","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3812\/1153130*(-11)\/(-1)?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5692987 and 50169.\nAnswer: 2389","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.9 - 1. Let x = 21.95 + -23.342. Let g = -5.392 - x. Put h, g, 1\/4, -0.2 in ascending order.\nAnswer: g, -0.2, h, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of 49*i**4\/26 - 14*i**3 + 144*i**2\/13 - 40*i\/13 + 1095. Find o such that s(o) = 0.\nAnswer: 2\/7, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1.56 (b) -338 (c) 3 (d) 21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 3*u = -6, u - 13 = -3*p + 3*u. Suppose 5*f - 24 = -4*l, 2*l - 5 = -3*l. Suppose -g = -p*g + f. Solve g*s + 4 + 2 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-3498)\/(-15) + (-3)\/(30\/2) is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12837135121 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 38*h - 68*h + 150 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from wxwpwwwxpxxpx.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 20225 (base 11) in base 2?\nAnswer: 111001101101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -36*y**2 + 2782*y - 16681. What is h(6)?\nAnswer: -1285","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l - 218*n + 221*n + 11890, -2*n = 3*l - 7115. What is the lowest common multiple of l and 5?\nAnswer: 2375","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8 and 555516?\nAnswer: 4444128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.2695616590905 and 4.\nAnswer: 4.2695616590905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 61137130 to the nearest integer?\nAnswer: 7819","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -4 + 2*v + 0*v + v**3 - 5*v**2 - 2*v. Let h be 5 + (-6)\/(-3) + -2. Let s be y(h). Is -3 less than or equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 55.2 - 55. What is the fourth smallest value in -3, 10, h, 0.4?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 PM and 7:10 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 194 divide 8668531?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 17112*w**2 + 273795*w + 48.\nAnswer: 3*(w + 16)*(5704*w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-2)*(-20)\/30?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -3*f - 6. Let k be h(-6). Suppose -p + 10 = -3*w, 2*p - k = -4. Let u be (7 - w)\/3 + 1. Solve 0*z - u = z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 13*k + 172. Is 6 a factor of z(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kzhh when four letters picked without replacement from {h: 4, k: 2, z: 5}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 790437 and 37887.\nAnswer: 519","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(500) + (sqrt(500) - (sqrt(500) + (sqrt(500) - (-2 + sqrt(500))) + 2 + sqrt(500))))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1, 0.2, 95\/2, -0.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = -5*z + 15. Let v(i) = 3*i + 2*i + 3*i**2 + i**z - 8*i**2. List the prime factors of v(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -1*(-2 - -1) - -198?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27034067 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3603826 and 120?\nAnswer: 216229560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 AM and 2:15 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -408, 411, 1230?\nAnswer: 2049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a century in years?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 650?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101000011 - 11?\nAnswer: -101000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/8)\/((-98)\/(-28)*12\/56).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -10*z - 84. Calculate the lowest common multiple of 42 and c(-12).\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9977 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*x + 17*x - 210 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (3*(sqrt(242) - (sqrt(242) + 2)) - (-1*(sqrt(242)*2 - sqrt(242)) - sqrt(242))))**2.\nAnswer: -308*sqrt(2) + 1017","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/14 + (15\/(-35) - -4). Let t(g) = -2*g**3 - 2*g**2 + 2*g - 2. Let s(p) = 412*p**2 - 10*p**3 - 423*p**2 + 11*p - 5 - 6. Determine v*s(x) - 22*t(x).\nAnswer: 4*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 491 + -490. Suppose 4*b = 9 - 1. Is 1339 + (b + (-1 - -3))\/h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -354*m**2 + 15209*m + 75. Calculate h(43).\nAnswer: -484","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.65 - -0.6. Which is greater: c or -1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of -1\/6*s**3 + 37*s**2 - 1\/120*s**6 - 1\/15*s**5 + 0*s + 0*s**4 + 0. Give u(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide (-503 - -3)*6*((-4)\/60 - 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21, -48, -75, -102, -129?\nAnswer: -156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + 299568?\nAnswer: 299572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2461\/63812 + 1\/1204. Suppose 29*o - 4 = 25*o. Is o smaller than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 527684316?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -589\/4 + 449\/3. What is the common denominator of w and -53\/38?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32, -40, -62, -104, -172, -272, -410, -592?\nAnswer: -824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 32 = -4*t, 5*a - 3*t + 28 = 52 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28397840?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 33, 0.\nAnswer: -4, 0, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 18107?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -3*l**4\/2 - 6*l**3 + 15*l**2\/2 + 54*l + 54 = 0.\nAnswer: -3, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49*-0.37896.\nAnswer: 18.56904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(-8) + (-62)\/40. What is the nearest to 3 in -0.5, -0.2, q?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.9 - 0.7. Sort x, 3\/5, -1\/4 in decreasing order.\nAnswer: 3\/5, x, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 4 = -2*p. Let m be 681\/27 - p\/(-18). Suppose 0 = 5*k - m, 2*d = d - 4*k + 35. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from appapppappa. What is prob of sequence pp?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.384 * -1.\nAnswer: 0.384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 158607 + 0.5.\nAnswer: 158607.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 >= -28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 42\/(-36)*12\/(-56)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from raaaaaraaa. Give prob of sequence ar.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 980.673 and -7.\nAnswer: -6864.711","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -2*u + a + 5, 5*a + 8 = -u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 28 + 27 - u**3 + 8*u**2 - 48 + u - 9*u. List the prime factors of r(6).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43607652?\nAnswer: 2, 3, 11, 17, 19433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -69 + 69. Solve 5*s - 11 = -2*j - t*j, j - 10 = -4*s for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 111\/1109200 and -19\/120.\nAnswer: 3327600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 323*-1813.\nAnswer: -585599","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 448690335?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 157793 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 121494133 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.91808*107.\nAnswer: -98.23456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m + 7. Let g(z) = 6. Let y(o) = -7*g(o) + 6*t(o). Let k(i) = 2*i + 2*i + 3*i - 4*i. Calculate y(k(v)).\nAnswer: 18*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 28409 and 4207?\nAnswer: 119516663","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -814*w**3 + 111*w**2 - 111*w. Let v(i) = 6*i**2 + 294*i + 111. Let p be v(-49). Let k(x) = -37*x**3 + 5*x**2 - 5*x. Give p*k(d) - 5*z(d).\nAnswer: -37*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -3 - (1182 + -1150)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*f**4 - 19*f**3 - f + 219?\nAnswer: 84*f**2 - 114*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 2311 = 3*l + l, 0 = 2*y - 10. Let c = -65 + l. Suppose 5*x = -2*v + c, 2*v + v = 3*x - 324. What are the prime factors of x?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a gram in milligrams?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/(g*g**(-2)\/g))\/(g\/(g**2*g))*g**(-1\/5)\/((g*g\/(g\/g**(-2\/13)))\/g*g)*((g**(-1))**35)**(11\/6) assuming g is positive.\nAnswer: g**(-23093\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ecqcqqeqqcqq. Give prob of sequence qeq.\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 727\/6 + -281\/2. Calculate the common denominator of d and (-116)\/(-170) + (-6)\/(-51).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q**(1\/3)*q)\/q)**(3\/13))**(2\/101)*(q**(2\/5)*((q\/(q*q**(2\/5)))\/q)\/q)\/(q**(-2\/7))**(-2\/19) assuming q is positive.\nAnswer: q**(-353446\/174629)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -106 + 124. Calculate the remainder when 70 is divided by a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*f - 2*f + 7*f)*(2 + 3 - 4) + f + f - f - f + 5*f - 2*f + 2 - 7*f - 4*f + 0*f as k*f + j and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 319.95t to grams.\nAnswer: 319950000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + 6 + (6 - 8)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + 2316\/120 + 1*(-1 + -4).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/6, 754, 0, -4, 1 in decreasing order.\nAnswer: 754, 1, 5\/6, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a**4 - a**4 - a**4)*(-3 + 2 + 4*a - a).\nAnswer: -6*a**5 + 2*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2*m**2 - 5*m - 3. Let i be s(3). Suppose 4*x - 4*w + 23716 = i, -5*w + 3640 = -2*x - 8215. What is x rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/208 in 1\/7, 9\/8, -1\/4?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8602929 by 35403.\nAnswer: -243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of -5*c**3\/6 - 3*c**2 - 11*c + 5. Let t(m) be the first derivative of l(m). List the prime factors of t(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 1452?\nAnswer: 1452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*d + 5*p, -7*p = -3*d - 2*p + 6. Suppose -d*b + 25 = 5*m + 3*b, 5*m + 4*b - 27 = 0. Suppose 0 = -3*v + 8 + m. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-38 - 1) + (-22 - (-87 + 36) - 33)\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2 - 4*c + 5. Let j be w(-10). Let o = j + 50. Let m = 35 - o. Is 16 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -37 + 37. Suppose 2*a - a = -2*r + 2968, w = -3*r. Let s = a + -1347. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (16\/6)\/((-2)\/(-213)). Suppose -4*o + w = -1145, l = o - 0*o - w. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m + 6. Let l = 9 - 15. Calculate z(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -357*t - 347. Let z(f) = 70. Determine 2*b(x) + 10*z(x).\nAnswer: -714*x + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, -26, -71, 4 in increasing order.\nAnswer: -71, -26, -4, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:52 PM and 3:53 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7611 and 657900.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 2*f**2\/21 - 2700106*f\/21 + 642880 = 0?\nAnswer: 5, 1350048","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 8*h + 2*r - 15 = 0, -h = 4*r - 5 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -14*m + 17. Let v(f) = 5*f - 6. Suppose -68 = 2*w - 19*w. Calculate w*p(g) + 11*v(g).\nAnswer: -g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1818198 and 172814?\nAnswer: 2434","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.82 - 0.18. Which is the nearest to l? (a) 3\/4 (b) -3\/8 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1682 - -1701. Solve -27*k + r*k - 48 = 0 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 2 (b) -0.5 (c) -3 (d) -198\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 14*g + 35. Suppose 3*i + 0 = 24. Let q(k) = 33 + i*k + 4 + 5*k - 3. Let c(s) = 5*f(s) - 6*q(s). What is the first derivative of c(o) wrt o?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 2*sqrt(1900)*-4*-1 + 5 + (sqrt(1900)*-1 + 1 - sqrt(1900)))**2.\nAnswer: 960*sqrt(19) + 68464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 185 - 152. What is the third derivative of l*b**3 + 16*b**2 - 158*b**3 + 68*b**3 wrt b?\nAnswer: -342","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.2724 - 0.69526. Let j = a - 0.576. Round j to two decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -130 - -1411?\nAnswer: 1231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2610*y**3 + 4622*y**2 + 7*y - 6049314 wrt y.\nAnswer: 15660*y + 9244","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + 2. Let i be (-3)\/((-3)\/g) - -1. Suppose 0 = i*o + 10 - 175. What is the remainder when o is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.26 + 1.26. Let c = -0.04 + -0.21. Let s = 0.17 + c. Is s at least g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16687?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -530*f - 530*f + 1591*f - 532*f. Let l = 5 + -10. Give c(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 332126497 and 2313?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 23 = 7. Let p = -6 + m. Suppose p*x = 6 - 16. Let j(o) = -o**2 - 4*o + 4. Calculate j(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 282 and -0.06.\nAnswer: -16.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -506*p - 570*p - 27786 = -234*p for p.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -276126 - 6?\nAnswer: -27612c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 7768459 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-2 + -3 - 1) - (-3 + 7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 PM and 7:55 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 22*f**3 + f**2 + 4*f - 4. Let h be b(1). Solve -17 + 5 = -4*g, -5*r + g = h for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 2 + 1)*(y**2 - 3*y**2 + 3*y**2) - 77*y**2 - 4419 + 4419)*(2*y - 4*y + 4*y).\nAnswer: -158*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.09 in 2\/21, 0.4, 24?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/((-48)\/42) + 6\/4. What is the third derivative of -15*x**6 + j + 1629*x**2 + 6*x**6 - 1631*x**2 wrt x?\nAnswer: -1080*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 9, 6, -11, -48, -111, -206, -339?\n\"Answer: -c**3 - c**2 + 7*c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -70, -5, -13963.\nAnswer: -13963, -70, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2. Let n(f) = 15265*f**2. Determine o(n(s)).\nAnswer: 233020225*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/6*42*7\/245.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 + 4*z**2 - 8*z - 6. Let w be m(-5). Suppose 0 = -8*n + w*n - 126. Calculate the highest common factor of 18 and n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d. Let m(i) = -3*i + 5. Let v(y) = -y - 1. Let s = 83 - 82. Let n(f) = s*m(f) + 5*v(f). Determine 4*l(j) - n(j).\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 12017 and -0.4.\nAnswer: -4806.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 626623?\nAnswer: 626623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/2725 in 4, 5, 4\/7, 10?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-43 - -44)*3)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 6 = 2*i - 2, i - 1 = 0. Suppose -2\/3*u**4 + 0*u**s + 0*u + 4\/3*u**2 - 2\/3 = 0. What is u?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11103 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 - 6*o**2 + 7*o - 6. Let p be k(5). Let f(w) = -2*w + 3. Let t be f(3). Let h = t + 15. Solve -3*i + 0*n = p*n + 5, 4*n + h = 4*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c + 1. Suppose -d + 1 = 2. Let r be z(d). Let p(n) = n**2 + n + 19. Is p(r) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 823 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 7 + 4 + 4*l - 5*l - 12*l**3 + 13*l**3 in the form i*l**2 + c*l**3 + n*l + d and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 4*m + m = 13, -2*r - 5*m = -37. Suppose 225 = 3*g + 2*g. What is the remainder when g is divided by r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2, 5, 0, -19, -58, -123?\n\"Answer: -g**3 + 2*g**2 + 4*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the third derivative of -1\/270*h**5 + 0 - 2*h**2 + 0*h**3 - 1\/1512*h**8 - 1\/180*h**6 + 0*h + 0*h**4 - 1\/315*h**7. Suppose i(r) = 0. Calculate r.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 904 - 909. Is -9 bigger than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -457.14 + 452. Let p = 5.94 + r. Which is the third smallest value? (a) -1\/7 (b) 2\/17 (c) 4\/7 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 101 + -58. Suppose u + 9 = 4*m. What are the prime factors of m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 + 16. Suppose t = -z + 6, -2*z - s*z + 3 = t. Calculate the remainder when t is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrooo. Give prob of sequence or.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 0*b + 0*b + b**2 + 3 - 6 wrt b.\nAnswer: 2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 2*j - 54 = 0. Let l = j - 34. What is the remainder when -1 + (-6)\/(-2) - -37 is divided by l?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 + 18*p - 27. Is 6 a factor of v(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 283?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 - 6*u. Let w be z(7). Let a = w - 6. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 184 = 6*m. Let v = m + -32. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/9 + ((-107734)\/(-2178))\/(-59).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -931859963369199203 - -931859953601285230.99999933. Let u = -9767914058 - f. Let b = u + 86. What is b rounded to seven decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 25 + -29. Let p = -0.8 + 0.7. Is p smaller than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(1\/5))\/(b*b**(4\/5)*b)*b**(-47)*(b**(-1\/54))**(1\/6) assuming b is positive.\nAnswer: b**(-15877\/324)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -p**5 - 1779328*p**4*t + 8566660*p*t + 2*p wrt p?\nAnswer: -20*p**3 - 21351936*p**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.7035 - -2.7. Round n to 3 decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a tonne in kilograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes after 11:19 AM?\nAnswer: 9:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2 - 3*h. Let u be d(-2). What are the prime factors of 9 - (-3 + u*1\/(-2))?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*-2*((-6)\/21)\/(60\/35)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2396 to the power of 1\/2, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 826 and 37288.\nAnswer: 261016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 214253578?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 39709988 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, r: 1, w: 1, v: 1, o: 1}. What is prob of sequence or?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -40\/3 <= 0.10674266?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x**(-1\/35)\/x)\/x*x)\/(x\/(((x\/(x\/x**(-4\/3))*x)\/x)\/x*x)))\/(((x\/(x\/(x*x*x\/(x*x**25)*x)))\/x)\/(((x\/x**(-11\/5))\/x)\/x)))**(3\/2) assuming x is positive.\nAnswer: x**(1094\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -334*w - 14 = -336*w + 16. What is the highest common divisor of 6585 and w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -32*n**3 - 11*n**2 + 2. Let s(i) = -67*i**3 - 29*i**2 + 5. Let p(w) = 5*h(w) - 2*s(w). Let z(l) = -1794*l**3 + 208*l**2. Give 208*p(g) - 3*z(g).\nAnswer: -26*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 1 - 2 = 0. Sort l, -1, -5 in descending order.\nAnswer: l, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 148 is divided by 139.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**2 - 9*x - 19. Let k be o(11). Suppose -97 = -2*w + c, k = 3*c - 0. Is w a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -52*z + 57*z, -3*k - 12 = 4*z for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 126\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence foeq when four letters picked without replacement from {o: 1, q: 1, p: 1, t: 1, e: 2, f: 2}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 27c6 (base 15) in base 2?\nAnswer: 10000100111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -2*z**2 - 5*z + 4. Let j be (-2653)\/14 + 3\/(-6). Let t = 194 + j. Let d(p) = -2*p**2 - 4*p + 4. What is t*d(o) - 3*l(o)?\nAnswer: -2*o**2 - o + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 351?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75 - (-7 - (2 + -5)).\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 4) + -9 + (-34 - -52)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1675\/(-2345))\/(40\/(-14)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 + 2*k + 4. Suppose 2*x - 5*o = x - 321, -2*x + 2*o = 666. Let z be (-3)\/(-5) - x\/140. What is h(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106*c = -107*c + 10. Suppose 5*r - c*r = -3505. List the prime factors of r.\nAnswer: 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -231.79, 5, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 40496 to the power of 1\/4, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1546230 divided by 36815?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in -0.16, -3, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -2*t**3 - 2*t**2 - 2*t - 4. Let u = -29 - -31. Suppose o = -u + 1. Let w(q) = q**2 + q + 1. Determine o*b(l) - 2*w(l).\nAnswer: 2*l**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i + 11. Let o be n(-6). Suppose 2*p - 4*k = 17 + 31, -96 = -4*p - 3*k. Suppose -2*w = -0*w - p. Solve o*t + w = 2*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p**3 - 29592*p**2 - 1208229*p = 0.\nAnswer: -9823, -41, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(42)\/(sqrt(6) + sqrt(96)).\nAnswer: 6*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31*x**3 + 6*x**4 + 31*x**3 + 2*x + 19*x**2 - 5*x**4 to a*x**3 + z*x + h + d*x**4 + u*x**2 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 2*q + 1. Let r(x) = 10*x + 5. Give 11*f(o) - 2*r(o).\nAnswer: 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 31767.808429 - 0.1967\nAnswer: 31767.611729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*a**5 + 2*a**4 + 69218*a**3 + a - 1676400?\nAnswer: 200*a**3 + 24*a**2 + 415308*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {w: 7, v: 2, t: 1, u: 2, c: 4}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(175\/15)*(7 - -3).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*y = -35*y + 244. Is y less than -246?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(3872) + -1 - sqrt(3872))**2 - -6*((1 + sqrt(1152) + sqrt(1152) + sqrt(1152))**2 - sqrt(32)).\nAnswer: 840*sqrt(2) + 62210","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/4)\/((-36)\/240)*180. What is g rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.067 - 1.43. Let k = -0.137 + y. Let x = -2 - 0. Which is the closest to k? (a) -5 (b) 2\/21 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -152 - -1030\/7. Let k = -2411\/72 + 208\/9. What is the common denominator of k and n?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2597 + -2596. Which is greater: f or 7\/200?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2573 is divided by 198?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -26.5 - 5.2. Let i = 30.7 + x. Which is smaller: i or 0.35?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pqd when three letters picked without replacement from {q: 1, f: 1, p: 1, c: 1, d: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 205, 369, 629, 1033, 1629, 2465?\nAnswer: 3589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21 - 2*l - l**3 + 6*l**2 + 21)*(-14 - 25 + 18)*(-2 + 6 - 3).\nAnswer: 21*l**3 - 126*l**2 + 42*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v + v**3 - v**2 + 4 + 16 - 7 - 2*v**3. What are the prime factors of w(0)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -3*k**2 - 2*k - 2. Let o be z(-2). Let u be 66\/(-2 + (-24)\/o). Calculate the greatest common divisor of u and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/6 (b) 6 (c) 9 (d) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p + p - 2*p)*(-11 + 28 + 7) + (0*p + p - 3*p)*(0 - 3 + 4) - 2*p - p + p.\nAnswer: -28*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21710?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum 21219331 and -0.032423.\nAnswer: 21219330.967577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 b when three letters picked without replacement from {p: 5, b: 15}.\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.04 - -0.36. Let w be (2\/(-176))\/((-3)\/6). Let y = -39\/220 - w. Which is the biggest value? (a) -3\/7 (b) y (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 398794 (base 11) to base 3.\nAnswer: 1011211102110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -103455809\/40 + 2586700. Let p = d - 1477\/5. What is the common denominator of -31\/2 and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4285 = -111*u - 5306 - 1398 for u.\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3 from -4784.\nAnswer: -4781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 1428 divide 530890865?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1\/6*h**4 - 1\/6 - 1\/3*h**3 + 1\/3*h + 0*h**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -374*j + 677*j + 68*j - 372*j.\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times 43959.1?\nAnswer: -87918.2","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: 3592 divided by 1796\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 3 (b) 0.3 (c) 87 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -13*d. Let l(g) = 50 - 2*g - 50. Give s(l(h)).\nAnswer: 26*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 16 + -10 - (3 - 1). Sort 0.4, 18, a, -5\/4 in ascending order.\nAnswer: -5\/4, 0.4, a, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (8\/10)\/(414\/1035). What is the greatest common factor of a and 2076?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the third derivative of 0*v**5 + 0 + 0*v**4 + v**2 + 13\/210*v**7 + 0*v + 0*v**6 - 8\/3*v**3. What is the derivative of r(q) wrt q?\nAnswer: 52*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2\/3 - 112*p + 680\/3.\nAnswer: -2*(p - 2)*(p + 170)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 720728?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4229315 divided by 845863?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 933?\nAnswer: -4665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = h + 5*a, -5*h = 4*a + 202740 - 202765 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xhxl when four letters picked without replacement from hlttllllflfxhlxxl?\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(180) + sqrt(180))**2 + -1.\nAnswer: 96*sqrt(5) + 735","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + -4. Let b be w - (2 + -2)\/1. What is the units digit of 11\/(-3)*(b + -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = f + 55, -3*f = 3*v + 7 - 37. Let x be 4 + (-50)\/v - (-76)\/13. Solve 2*g - 3*u = -x, -2*g + 1 + 1 = -u for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 less than 260?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -10, -41, -86, -139, -194, -245, -286?\n\"Answer: j**3 - 13*j**2 + j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7710*t**2 + 29036*t.\nAnswer: 15420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*f + 2*f = 34 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of t**4\/6 + 2*t**3\/3 + t**2\/2 - 3. Let v(i) be the second derivative of n(i). Differentiate v(b) with respect to b.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 10 = 4*q. Let f(c) = -3*c - 1. Let o be f(q). What is the units digit of ((-2)\/o)\/((-1)\/5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -8*z**3 + 440*z**2 + 3*z - 182. What is m(55)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 3*v + 282 = 0, -20 = 3*v + 2*v. Calculate the remainder when q is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000476 rounded to 7 decimal places?\nAnswer: 0.0000048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 66 - 61. Is 85 - (-4 - (-6 + i)) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 31 = 3*n - 15, 2*n - 8 = -l. Let g(z) = 59 - 41 - 5 - l*z**2 + 29*z. Let k(y) = -2*y**2 + 7*y + 3. Give 2*g(a) - 9*k(a).\nAnswer: 2*a**2 - 5*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 27055 to the power of 1\/2, to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 12*a**2 - 103*a + 1111. Calculate t(12).\nAnswer: 1603","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4809?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 p when three letters picked without replacement from {p: 5, c: 5, a: 2, u: 7}?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Do -27839\/27 and -1031 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -308, -257, -188, -101, 4, 127, 268?\n\"Answer: 9*o**2 + 24*o - 341","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002724768 to five decimal places.\nAnswer: -0.00272","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(2\/((-16)\/12))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2)*t*t\/t**8*t)**(-30\/7)*(t**(-6)\/t*(t*t*t**(-2\/7)\/t*t*t*t)\/t)\/(t*(t**(-5)\/t)\/t*t**(-4\/11)) assuming t is positive.\nAnswer: t**(2470\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**3\/5 - 1134*i**2\/5 + 2247*i\/5 + 3384\/5.\nAnswer: 3*(i - 376)*(i - 3)*(i + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-11)\/u*u*u\/u**(-14)*u*(u*u\/(u\/(u**(-5\/3)*u)))\/u*u**(-2\/3) assuming u is positive.\nAnswer: u**(11\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1336?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*q = 66*q + 5*f - 34, 2*q + 6 = -4*f + 34 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 2*v - 252, r + 762 = 4*r + 3*v. Suppose r*y - 250*y - 420 = 0. What is the remainder when 136 is divided by y?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 4\/15342637 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 8*c + 27. Let m be z(11). Suppose -5*p + m = -5*y - 150, -5 = -y. Let u(q) = -p + 2*q + 58. Let a(f) = -2*f**2. Calculate a(u(t)).\nAnswer: -8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-4)\/(-3))\/(2*4\/12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 7925*y + 103051. Give w(-13).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 5, c: 1, k: 2, d: 11}. What is prob of sequence ckn?\nAnswer: 5\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from glekmrl. Give prob of picking 1 k, 1 l, and 1 r.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*u**3 + 4*u**3 - 2*u**3 + (-2*u**2 - 3*u**2 + 3*u**2)*(-4 + u + 4) - 14*u + 14*u + 4*u**3 in the form b*u + p + x*u**3 + i*u**2 and give x.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q**3 - 12*q**2 - 14*q = 0 for q.\nAnswer: -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*c**3 - 3*c**4 + 742*c**2 - 748*c**2 + 5*c**4 to the form i*c**2 + h*c**4 + a + q*c**3 + w*c and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 PM and 2:44 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 37, 1\/2, -2\/3, -2\/5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000105 to 5 decimal places.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*a - 110 - 3*a + 101 - 2*a to j*a + x and give x.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from apaxxaxxxxaxxxaaaxax. Give prob of picking 2 x.\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-2 - (-4 + 6)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = 11*x - 2*x. Suppose -d + 3 = -2*d, -l - 2*d + 73 = 0. What is the remainder when l is divided by x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 3*a = -9 - 52, 5*m - 5*a - 50 = 0. Suppose -m*y + 8*y + 65 = 0. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -3. Let z be ((-5 + 0)*1)\/g. Let p = z - 3. Solve -p*b = -4*b - 4 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)*-2*3)\/sqrt(7).\nAnswer: -6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.96 times 4?\nAnswer: 3.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 4*l**3 - 4*l**2 - 1. Let r(m) = 3*m**2 + 4 - 4 - 5*m**3 + m. Let g(v) = -2*n(v) - 3*r(v). Is 24 a factor of g(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 289937 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 983?\nAnswer: 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(99) - 2*sqrt(99)) + (sqrt(99) - (-2*sqrt(99) + sqrt(99)))*-4 + sqrt(99))\/(-1*sqrt(18)\/sqrt(2)*-4).\nAnswer: -2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 455 and 117195.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 35126 and 70252?\nAnswer: 70252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5865191 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 13483807?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*d**2 - 3*d**3 - 11*d**2 - 23989*d + 23650*d as x*d + z*d**3 + n*d**2 + i and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 46926?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (8 - 3)*(3 + 70\/(-25))*-32\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -28*m**2 - 167*m + 844. What is s(5)?\nAnswer: -691","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 2, -66.\nAnswer: -66, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*d - 6*d. Let h = d - -5. Solve 3*l = -3, 5*g - h*l - 21 = -4 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(60)\/(-1*sqrt(12)) + (sqrt(5) - (sqrt(720) + 2)).\nAnswer: -12*sqrt(5) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of -m**3\/3 + 4*m**2 + 13*m + 1. Let b be r(9). Find the first derivative of -q**4 - q**4 - b - q**4 wrt q.\nAnswer: -12*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + 6. Suppose 0 + w = f. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3756 + 3864 = 54*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 + 12*m + 2. Let t be w(-12). Is 16\/11 < t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 35938568?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1383313427 to the power of 1\/2, to the nearest integer?\nAnswer: 37193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14338263?\nAnswer: 3, 79, 101, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 plus -80829203?\nAnswer: -80829191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -945*g**2 - 171*g - 6 wrt g.\nAnswer: -1890","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-291228)\/(-6934) - 155\/1?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 28965 or 28966?\nAnswer: 28965","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 49\/120 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 - 120*w**2 - 161*w - 4774. Let p be z(-119). Solve 238 = -14*r + p for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 27*o + 320 + 1138. Let u = 53 + o. Which is bigger: u or -1\/15?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -246213 + 246287. Suppose 4 + 10 = y. Calculate the remainder when w is divided by y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/(-3) + 1*8. Suppose 2*g = -4*n + 6, q*n + 2*g - 6 = 3*n. Solve 3 = 3*h - 3*c - n*c, -c = 3*h + 5 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -262 + 490. Suppose 223*z + 850 = g*z. Is z a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -429 + 1280. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*z + 16*z + 17*z + (-1 + 3 - 5)*(0*z - 2*z + 3*z) - 3 - 3*z + 3 as o + v*z and give v.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three halves of a tonne in kilograms?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30, -0.3, -2493\/4, 0.4 in ascending order.\nAnswer: -2493\/4, -0.3, 0.4, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 13432379347 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2356.6 rounded to the nearest ten?\nAnswer: -2360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13287 - -28565. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -119 + -53. Let m = 312 + u. Does 14 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 + 2*h**2 + 2*h - 2. Let w(c) = 3*c**3 - 5*c**2 - 5*c + 5. Calculate -5*u(a) - 2*w(a).\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -23, 4, -1696?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 78, -51, -302, -681, -1194, -1847, -2646?\nAnswer: -3597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 962310 is divided by 7756?\nAnswer: 566","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - ((-512)\/96 + 4\/(-6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3272 + 3272 + 10*m**2.\nAnswer: 10*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 40.87 minus 72?\nAnswer: -31.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 18 = 10*k - 2, -3*x + 3*k - 6 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 4, a: 5, v: 1, n: 6}. Give prob of picking 4 e.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 236 + -238. What is the fourth smallest value in 2\/9, -0.07, h, 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 84394, 90992, 97590, 104188, 110786, 117384?\n\"Answer: 6598*x + 77796","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -34064.49105 - -34065. Round b to two dps.\nAnswer: 0.51","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32167822?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 323 is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0100396 rounded to three dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 343469 is divided by 6195?\nAnswer: 2744","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28)\/(2*9\/(-8)*19\/((-2565)\/(-30))).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -20 + -109 + 119\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 3 i when four letters picked without replacement from iftqqiqqxqxqti?\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 4*j = 606, 3*j - 6*j - 1187 = -4*k. Suppose 0 = -2*r - z + 448 + k, 2 = -2*z. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1570 - -1642. Let j be 2*3*-4*-2. What is the highest common factor of j and i?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-140)*15)\/(84\/147).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/4 of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 - 11. Let h be (-1)\/(-3) + (55\/s)\/(-5). List the prime factors of (-2 + h)\/((-3)\/(-354)).\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 37*s**2 - s + 29. List the prime factors of r(-6).\nAnswer: 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -3 + (22 + -37 - (-10 + 13)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/21)\/((-4)\/(-6)). Suppose -v - 1 = -5. Suppose v*t + 5*u = -22, 3*u - 1 = 3*t + 2. Which is the closest to -1\/2? (a) t (b) y (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/(-6))\/(1\/4). Let k be (-50)\/(-18) + -6*3\/6. Let u be (-56)\/(-8) + (-363)\/44. Which is the nearest to j? (a) 0 (b) k (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = 3*k + 30 - 18, -3*k - 14*b + 39 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010101 + 1001?\nAnswer: -10001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (25\/(-230) - (-18)\/207)*4?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 + 1 + -2 - 1. Suppose -p + 0*p = -i. Let q = 13 - 11. Calculate the remainder when q is divided by p.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -21\/2, 0, 8, -2 in ascending order.\nAnswer: -21\/2, -2, 0, 0.1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, -88, 4 in decreasing order.\nAnswer: 4, -1, -4, -88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 333916010?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-133)\/57 - (-1)\/3. Let j be (-6)\/6*(-30 + k - 1). What is the highest common divisor of 77 and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of v**6\/45 + v**5\/120 - 101*v**3\/6 - v**2 + 22. Let t(c) be the first derivative of x(c). Let q(j) = 5*j**2. Calculate q(t(r)).\nAnswer: 320*r**4 + 80*r**3 + 5*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*o**2 + 2*o - o**2 + 6*o - 8*o.\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (735\/(-36260))\/((-6)\/(-16)).\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 - 6*d**2 + 5*d - 3. Let n be i(6). Suppose -2*g + n = -9. Is g a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 876.0387 + -876. Round r to three dps.\nAnswer: 0.039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15323 and 3698415.\nAnswer: 1393","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -4 + 4 - 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -204*y**4 + 665*y**4 - 310*y**4 + (-y**2 + 2*y**2 - 2*y**2)*(2*y**2 + 2*y**2 - 3*y**2) - 6*y**4 + y**4 + 3*y**4 + y**3 - y**3 - 2*y**4.\nAnswer: 146*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (40\/14)\/((-10)\/(-35)). Let p = 14 - u. Suppose 6*q = 2*q + m - 1, 3*m = -p*q + 19. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of 17*l**3\/3 + 9*l**2\/2 - 17. What is the second derivative of m(f) wrt f?\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 57*y - 99. Let o(h) = 7*h - 12. Let t(p) = 4*k(p) - 33*o(p). Let n(s) = -8*s. Give n(t(c)).\nAnswer: 24*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 + 16*r**2 - 38*r. Let d be o(13). Let a(g) = -31*g**2 + d*g**2 + 11*g**2 + 8*g**2. Let x(i) = -2*i**2 + 35*i**2 - 5*i**2. What is x(a(h))?\nAnswer: 28*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 119283?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 58\/70 + 2\/(-5). Let x = -5 - 0. Let z = 182023.4 - 182023. What is the nearest to 0 in x, u, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5057 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, d: 8, t: 5, s: 1, r: 3}. What is prob of sequence tr?\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3142?\nAnswer: 2, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 11\/((-198)\/24)*-5*132\/55\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 minus 0.0276?\nAnswer: -18.0276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bfff when four letters picked without replacement from bddbfbb?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -201000202000 (base 3) in base 8?\nAnswer: -1333365","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5\/24 - 13\/120. What is the third smallest value in g, -0.3, 0?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 764915 a multiple of 85?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a year in months?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2192431l in millilitres?\nAnswer: 219.2431","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 + -3. Let o = a - -1. What is the common denominator of -4\/9 and o\/175*155\/2?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*j**5 - 6*j**4 + 29*j**2.\nAnswer: -240*j**2 - 144*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*w = 4*q + 29*w - 10, -7 = q + 5*w for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/((33\/2)\/11). Suppose -3*m + 2*o = -15, 0 = o + 9 - 6. Solve -2*p - n*r + 3*r = -5, 0 = r - m for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.104, 3, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + 16 + 56 + -11 + -32.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (39 - -4 - 19) + -63.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -31016 + 2.01\nAnswer: -31013.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1934 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6241 is divided by 570.\nAnswer: 541","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 5:07 AM?\nAnswer: 11:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -161\/60 and -17\/9?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + 276?\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*l + 3*l. Suppose -l*m + 5*m = 12. What is the units digit of (-3)\/(2 + 1) + m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -49 - -31. Is j < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*c**3 + 225*c - 225*c - 54*c**3.\nAnswer: -13*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**0*s*s*s*s\/s**(6\/5))**(-2\/55) assuming s is positive.\nAnswer: s**(-28\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100010010011010010 (base 2) to base 5.\nAnswer: 13443443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3 + -2)\/(2\/(-12)). Let m = z - -8. What is the lowest common multiple of 6 and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x - 28 = 4*x. Let h be (1 + -1)*(6 - x). Solve h = 2*p - p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 6, z: 4}. What is prob of sequence jjz?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - 126?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/(-35))\/((-213)\/(-16401)).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.011 and -3?\nAnswer: 0.033","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 3*o**2 + o + 1. Let p be d(-4). Let h(w) = -11*w**2 - 17*w**2 + p*w**2 - 16*w**2. Let f(r) = -3*r + 1. Determine h(f(t)).\nAnswer: 9*t**2 - 6*t + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-5*(-6)\/30). Which is the nearest to -18? (a) j (b) 5\/2 (c) 4 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -236, 270, -2 in increasing order.\nAnswer: -236, -2, 270","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/2 + 3)\/(-2). Let t be (2\/d - (-42)\/63) + 28. What is the highest common divisor of 182 and t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 8217701, 16435406, 24653121, 32870852, 41088605, 49306386, 57524201?\n\"Answer: n**3 - n**2 + 8217701*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -74\/431805 and -7\/27.\nAnswer: 3886245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 + 27*x**2 + 6*x - 155. What is t(27)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times -0.9662274\nAnswer: 0.38649096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/7732? (a) -8 (b) -0.2 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1975740*z**2 - 16*z**3 + 4*z**3 + 9*z**3 + 1975740*z**2.\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 10576080701 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -6.2851*1.437\nAnswer: -9.0316887","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 8 (b) 259 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 48 (b) -0.03 (c) 0 (d) 7987 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*u - 3692 = -3*n - 24*u, -5*u - 6180 = -5*n. Is 3 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -78*w**3 - 2*w**2 - 4*w - 1. Let g(o) = -312*o**3 - 9*o**2 - 18*o - 4. Determine 2*g(a) - 9*h(a).\nAnswer: 78*a**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v. Let n(z) be the first derivative of 1 - 1\/3*z**3 + 0*z**2 + 0*z**4 - 1\/60*z**5 + 0*z. Let p(a) be the third derivative of n(a). Give m(p(w)).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 545 is divided by 91?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 97359?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -46798\/75 or -624?\nAnswer: -46798\/75","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3369*p = 3376*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*g**3 - 27033*g**2 - 1550136*g - 12993552 = 0 for g.\nAnswer: -631, -52, -132\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 511 = -308. Calculate the highest common divisor of 22581 and v.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 30146570 to the nearest 100000.\nAnswer: 30100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 + -5 + -7 + 66 + 15?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63712.\nAnswer: 2, 11, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1499297?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -2*u + 5. Let i be x(-3). Calculate the highest common factor of i and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -442, -371, 212, 1307, 2914, 5033?\nAnswer: 7664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18 + -14. Suppose 5*t - 5*b + 10 = 0, 5*t + 0 = -2*b + o. Suppose -4*j - j - 1950000 = t. What is j rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 57*s**2. Let t(u) be the third derivative of -5*u**5\/2 - 8391*u**2 - u. Calculate n(t(m)).\nAnswer: 1282500*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22020 + 11320?\nAnswer: 100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 5*m = 8. Let n(o) = o**2 - 8*o + 2. Let h be n(m). Suppose -h*f + 0*f - 43 = -r, -r = -4*f - 49. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.4 - 0.3. Let a = -60643 + 302084\/5. Let t = a + 226. Does n = t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 - -2 - (5 - 5). Let m(y) = -y**3 - y**2 + y + 3. Let s be m(0). Suppose -o = -f*o - s. Does 2 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6 + 5f6?\nAnswer: 5f0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 PM and 11:52 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -412*q - 2. Let y(z) be the first derivative of z**3\/3 + 1879. What is y(p(v))?\nAnswer: 169744*v**2 + 1648*v + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q**3 - 14460*q**2 - 101005*q - 86550 = 0. What is q?\nAnswer: -2885, -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l = -4*l - 84. Let h(z) = z**2 + 10*z + 23. Let r be h(-14). Let v = r + 5. Calculate the greatest common factor of v and l.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 96710 or 96712?\nAnswer: 96710","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*o - 16 = -29*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (15\/6)\/(6\/12). Suppose m*o = -3*s + 6128, 0*o - o - 5*s + 1208 = 0. Suppose -6*u - o = -10*u. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of u**4\/6 + 3*u. Let v(g) be the first derivative of -g**2\/2 - 2. What is v(a(h))?\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 15680 - x**3 - 15679 + 1053*x**2 - 2*x**4 - 1054*x**2 - 35*x as t*x**2 + z*x**4 + p*x + b + w*x**3 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/299321464 or 1?\nAnswer: 1\/299321464","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbp when three letters picked without replacement from {p: 5, b: 5}.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1090.727 centuries to millennia.\nAnswer: 109.0727","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, 112, 327, 690, 1237?\nAnswer: 2004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 360 and 240.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q - 2. Let x(u) be the first derivative of 5*u**2\/2 + 24*u + 12. Let z be x(-6). Let r(a) = a + 2. Give z*o(h) - 5*r(h).\nAnswer: h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -34, -254, -846, -1996, -3890?\n\"Answer: -31*c**3 - 3*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/60 and -83\/606.\nAnswer: 6060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-1 - -3) + -6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, 19250, 0, -0.4, -2\/21?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(275)*-2 + -3 + ((-2 + sqrt(275))*4)**2.\nAnswer: -330*sqrt(11) + 4461","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 143 a factor of 117397852?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 9780 times -0.321\nAnswer: -3139.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l + 6*l + 3*l - 6*l - 2*l.\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 576262.\nAnswer: 2, 73, 3947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -f1 - 947?\nAnswer: -a38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -6 (b) 0.4 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 866621?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1\/659493?\nAnswer: -1\/659493","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the third derivative of -l**4\/24 - l**2. Let d(s) be the first derivative of -3*s**2\/2 - 78. Give d(o(b)).\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 187.42 - 187.42. Which is the nearest to t? (a) 0.7 (b) 8 (c) 2 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 85, 87, 89?\n\"Answer: 2*v + 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 3:32 PM?\nAnswer: 1:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, -2\/225 in decreasing order.\nAnswer: 5, 1, -2\/225","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10232771\/20 or -511638?\nAnswer: -511638","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -18\/1205 and -39\/239860?\nAnswer: 57806260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of 3*v**4\/4 - 42*v**3 + 228*v**2 + 79. Find k such that d(k) = 0.\nAnswer: 0, 4, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 36493921 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8705*s**4 + 113140*s**3 - 478450*s**2 + 651500*s + 1875 = 0 for s.\nAnswer: -5\/1741, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 354, 42.\nAnswer: 3, 42, 354","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yr when two letters picked without replacement from pprrppvy?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2502 and 1702611?\nAnswer: 1251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 2 + 4 = 0. Let a(p) = 3*p**3 - 2*p + 1. Let q be a(-2). Let h = q + 30. Calculate the least common multiple of h and g.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 17735\/(-208) + (-1)\/2. Let y = -1184\/13 - o. What is the common denominator of -65\/18 and y?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15440 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 9*m. Let r be (-1)\/(0\/3 - 1). What is the units digit of t(r)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*c - 28*c + 126 = 0 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6142 + 6374. Does 232 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1\/5 of a tonne?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 t when four letters picked without replacement from ctttcctccctcc.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 200 and 50.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 459?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wj when two letters picked without replacement from {l: 1, j: 3, g: 2, w: 13}.\nAnswer: 13\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**3\/7 - 1216*g**2\/7 + 397750*g\/7 - 26812500\/7.\nAnswer: -2*(g - 125)**2*(g + 858)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - 51?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -228, -1484, -3536, -6354, -9908?\n\"Answer: 5*f**3 - 428*f**2 - 7*f + 202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (115\/15 + -6)*6\/5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 10 = -3*x, -4*b + 2*x + 118 = 110. Let v(m) = 39*m**3 + 11*m**2 - 11. Let g(i) = 8*i**3 + 2*i**2 - 2. What is b*v(k) - 11*g(k)?\nAnswer: -10*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 - -8. Solve -s*x - 1 = -13 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gwwg when four letters picked without replacement from wgwwwgwgwgwwwwwwww?\nAnswer: 91\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 211.2242873 and -0.099?\nAnswer: 211.3232873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2*3\/(-2) - 5. Let i = -402 + 2808\/7. Is i bigger than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-57 + 10 + -7)\/((-3585)\/9560)\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 219946.4 days to nanoseconds.\nAnswer: 19003368960000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -37 (c) 7\/2 (d) 0.3 (e) -7 (f) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2. Let l(v) be the first derivative of -13*v**3\/3 - 5. Give j(l(s)).\nAnswer: -169*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 2*y - 12 = 4, 2*r + 20 = -4*y for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**3\/5 + 12*x**2\/5 - 22*x.\nAnswer: 2*x*(x - 5)*(x + 11)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -27553 + -14370. Round q to the nearest 1000.\nAnswer: -42000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2*(-1 - -21) + -1. Let c be l\/(-15) + 9\/15. Which is smaller: c or 0.04?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 466813 is divided by 30?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + 2 - 6, -2*h + 2 = -j. Suppose -2*x - 8 = 5*z, 4*z - 3*x - 13 = -1. Suppose -24 = -z*q - j*q. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5715895 is divided by 146.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 5*p - 92, -3*p + 28 + 25 = 4*t. What is the closest to 0 in p, 0.4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/10 - (-6)\/(-30). Let m(d) be the first derivative of -d**4\/4 - d**3\/3 + d**2\/2 + 4*d - 61. Let y be m(o). Solve -l = 2, 5*l = c - 4 - y for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 249632 and 152792.\nAnswer: 17723872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -4*y**2 + 57*y + 38. Calculate r(15).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1697*i + 20551 = -7042*i + 28749 + 152152 for i.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3606456 (base 9) in base 7?\nAnswer: 22413642","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 8) to base 16.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 10*r**2 - r + 1. Let z be q(1). Is (-4)\/z - 1385\/(-25) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4.5? (a) -478 (b) 3 (c) -1\/3 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 188707408 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (12 - 12)) + 3 + 7.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 154767 is divided by 1779?\nAnswer: 1773","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of l**3*r**2*s + 5*l**3*r**2 + 5*l**3*r - l*s - 3*r**2*s + 89*r wrt r?\nAnswer: 2*l**3*s + 10*l**3 - 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 10 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*12.431.\nAnswer: -3.7293","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -33 equal to -6811\/201?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - -94?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (5\/15)\/((-40992)\/(-13662) + -3). What is the greatest common factor of 11 and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 37*t**2 - 34*t**2 + 6770 + 2157 + 257 to the form p*t + f + i*t**2 and give f.\nAnswer: 9184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -125448, -501814, -1129102, -2007318, -3136468, -4516558?\n\"Answer: -b**3 - 125455*b**2 + 6*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*f**3 + 0*f**2 + 8 + 18 + 3*f - 5 - 19 + f**2 to d*f**3 + y + w*f**2 + s*f and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-4 + 8 + 0)*(4 - 20 - 14) - 7 + 10 + 9)*(o - 2*o + 3*o + (-2*o + 0*o + 3*o)*(-1 + 2 + 0)) to the form f + u*o and give u.\nAnswer: -324","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -625.5 - 70121.\nAnswer: -70746.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -29.9 and -2034.\nAnswer: 60816.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 65*z**3 + 2*z**2 - 2*z + 1. Suppose 2*q - 3*q + 1 = 0. Let b be u(q). Suppose -m + 32 = 10. Calculate the greatest common factor of b and m.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14974 - 269663\/18. Let n be (-15)\/9 + 348302\/(-1320). Let l = 2862\/11 + n. Find the common denominator of l and k.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 + (-58 - -23) + 31?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/3))**(-2\/89)\/(a\/a**(2\/15)*a*a*(a**(-1\/8)*a)\/a*a) assuming a is positive.\nAnswer: a**(-13267\/3560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 114937?\nAnswer: 17, 6761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -137*q - 56*q = 2509 for q.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in thirteen fifths of a milligram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 4*l + 547, -v = -0*v - 4*l + 193. Let q = v - -545. Let n = 517 - q. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 294592 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 5 + 25 = 3*x, 0 = x + 2*j. Suppose 13*r - 42 = x*r. Solve 0 = 2*f - r*f - 20 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -15 - 21. Let p = x - 5. Let k = 33 - 23. What is the lowest common multiple of k and p?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 622632.\nAnswer: 2, 3, 25943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 753 and 208079.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2 * 79\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19, -50, -93, -148, -215?\nAnswer: -294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 153062980 and 140?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 2*d - 5. Let k be z(4). Suppose 11*a - 14584 = k*a. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -11997*a**2*q - 427*a**2 + a*b*q + 2*a*b - 4*a - 2 wrt q?\nAnswer: -11997*a**2 + a*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -9*v**5 + 307704*v**4 + 1128386*v**3 - 581260*v**2 - 718049*v - 136772 = 0?\nAnswer: -4, -1\/3, 1, 34193","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: -1+52918889740\nAnswer: 52918889739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 872, 3536, 7992, 14240, 22280?\n\"Answer: 896*q**2 - 24*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/10 + ((-304)\/(-40) - 7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 + 67*p + 2816. Calculate the lowest common multiple of t(96) and 1312.\nAnswer: 1312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -2*y + 10. Let b be z(10). Let c(l) = l + 13. Let a be c(b). Suppose 4*r - 9 = 3*o - a, -3*r = -5*o - 10. Sort -5, 3, r in decreasing order.\nAnswer: 3, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cccccggcvcivhcwghc. What is prob of picking 1 i, 1 w, and 2 h?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.7182 rounded to one dp?\nAnswer: -3.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -36*y + 153066 + 9868506. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0012152014 rounded to 6 decimal places?\nAnswer: -0.001215","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the third derivative of 7\/24*q**4 + 0 + 0*q**3 + 0*q - 7*q**2. Let a(n) = n - 1. Let k(r) = -2*r + 4. Let i(f) = -4*a(f) - k(f). Determine y(i(d)).\nAnswer: -14*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/(-7))\/(2\/(-7)). Suppose 3*s = z*s + 13. Do s and 12 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -2*b**2. Let x(w) = 1528*w**2 - 1. Give c(x(o)).\nAnswer: -4669568*o**4 + 6112*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 10*n**3 + 2*n**2 + 9*n - 5. Let g(p) = -11*p**3 - 3*p**2 - 10*p + 5. Calculate -7*d(b) - 6*g(b).\nAnswer: -4*b**3 + 4*b**2 - 3*b + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 215 (base 9) to base 13.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28925, 32398, 35871, 39344, 42817?\nAnswer: 46290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 250296 by -62574.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kmmq when four letters picked without replacement from {q: 4, m: 5, h: 3, k: 1}?\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 197 + -19. List the prime factors of k.\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5816397904 a multiple of 825?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21101 + 33942. List the prime factors of d.\nAnswer: 12841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:41 AM and 2:22 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 75 minutes before 5:17 PM?\nAnswer: 4:02 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Find d such that -5*d**2 + 269915*d - 5666010 = 0.\nAnswer: 21, 53962","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1101101 (base 2) to base 6\nAnswer: -301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 289798948?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7612.\nAnswer: 2, 11, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3437 - -6832. What are the prime factors of q?\nAnswer: 5, 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8962 - 8863 = -11*u for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -179 - -445273\nAnswer: 445094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 118306 and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 + h**2. Let i(t) = -3*t**3 - 14*t**2 + 6*t - 1. Let u(q) = 2*q**3 + 16*q**2 - 7*q + 1. Let b(z) = -7*i(z) - 6*u(z). Give b(a) - 4*p(a).\nAnswer: 5*a**3 - 2*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 10*o**2 - 63 - 14*o**2 + 5 + 16 - 39.\nAnswer: -4*o**2 - 83","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10*(-6)\/(-12)*3)\/((9801\/(-270))\/(-121))?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1172247 is divided by 146517?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -160 divided by -10.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 225 = 5*k - 3*j, 69 = 2*k - j + 4*j. What are the prime factors of k?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 2*j**3 + 20*j**2 + 209*j + 1721. What is s(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/40)\/(24\/(-30)).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 7566 (base 10) to base 3\nAnswer: 101101020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 12:45 AM?\nAnswer: 7:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, -2\/19, -5, -4\/11, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -58 + 152. Let z = w + -91. Let d be ((-10)\/5)\/(1 - 2). Solve -d*a - z = -a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:41 AM and 1:41 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 5*m + 5. Let b be (12\/8)\/(3\/(-8)). Let k(p) = 5*p - 9 - 28*p + 2*p + 12*p. What is b*k(d) - 7*t(d)?\nAnswer: d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-3*(-1 + sqrt(252)) - (sqrt(252)*1 + 3)).\nAnswer: 144*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 707, 1446, 2213, 3008, 3831, 4682, 5561?\n\"Answer: 14*a**2 + 697*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.05, -0.782518, -0.06 in ascending order.\nAnswer: -0.782518, -0.06, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 32\/(-12)*((-22)\/(-44))\/((-4)\/24)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*i**3 - 11*i**3 + 8*i**3 + 29*i**3 - 5*i**2 to the form w*i**2 + s*i + j + p*i**3 and give w.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, t: 10, j: 4, o: 3}. What is prob of picking 2 t, 1 c, and 1 o?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3359017?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fsfvufgccvgg. Give prob of picking 1 f, 1 v, 1 g, and 1 u.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -440460*s + 440461*s - 32 = -3*y, 2*s = -5*y + 55 for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - 181?\nAnswer: -186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29378, -29491, -29606, -29723, -29842, -29963?\nAnswer: -30086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-15)\/i)\/i**(-3\/13))\/((i\/(i\/(i\/(i*i**(-15)\/i))))\/((i\/((i\/(i**(2\/11)\/i)*i)\/i))\/i)) assuming i is positive.\nAnswer: i**(-4803\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5656, -5657, -5658, -5659, -5660, -5661?\nAnswer: -5662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44885853?\nAnswer: 3, 1662439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1403220 (base 9) in base 10?\nAnswer: -770004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2961239 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1961*u = 1983*u - 154. Let a = -0.2 - -0.3. Are u and a equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 less than -238830607588558?\nAnswer: -238830607588554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8864 or -8862?\nAnswer: -8862","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -19.28 and 0.12.\nAnswer: -2.3136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.644 + 0.7039. Round g to two decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 191014757 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 71 - 70. Let d = 3 + -5. Let p(r) = 264*r - 1293. Let y be p(5). Sort z, y, d in increasing order.\nAnswer: d, z, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-64)\/8*(1\/2)\/(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 4*z**3 + 330*z**2 + 6720*z - 7058. Let n(a) = a**2 + 1. Let y(t) = i(t) + 2*n(t). Find k such that y(k) = 0.\nAnswer: -42, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-287)\/(-70)*-1 - -4).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of i**5\/20 + 59*i**4\/12 - 7*i**3\/6 + 103*i**2 - 7*i - 12. Is u(-47) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 - 4*d**2 - 12*d + 35. Let x be m(5). Suppose 13*b = 9*b + 180. Suppose x = -b*y + 50*y. Solve 4*t - 10 + 4 = 2*r, 5*t - r = y for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - 163a8?\nAnswer: -163a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*o, -3*d = -2*o - 62 + 241. Suppose 3*w + 37 = 19. Let v be ((-725)\/75)\/((-1)\/w). Which is bigger: d or v?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 31 and 899.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -203, -486, -785, -1064, -1287, -1418?\n\"Answer: 6*s**3 - 44*s**2 - 193*s + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41178 is divided by 13717?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i - 5*i + 5*i - 4*i - 2*i + 4*i + (3 + 0 - 1)*(-5*i + 5*i - i) + i - 2*i + 2*i + 3*i + i - 5*i.\nAnswer: -6*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 + 4. Let i be (-3 - (1 + 2))\/((-6)\/4). Let z be (9\/12)\/((-1)\/(-12)). Solve y = i*d - z*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -53880000 rounded to the nearest one million?\nAnswer: -54000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -286 - -358. Suppose n*w - 102*w = -360. Solve -13*c - w = -9*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(57)\/(sqrt(3)*-1)*-6 + -4 - ((1 + sqrt(1216) + -2)*6)**2.\nAnswer: -43816 + 582*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21242\/(-177) + 6322\/559497.\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40676119*v + 7*v**2 - 40676119*v - 26*v**2.\nAnswer: -19*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2160, 4336, 6512, 8688, 10864, 13040?\n\"Answer: 2176*p - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/444 and -25\/22707828?\nAnswer: 840189636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 - p**2 + 4. Let a be d(0). Suppose 0 = -z - a + 8. Suppose -70 = z*v - 482. What is v rounded to the nearest 10?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 94\/(-14) - -3 - 180\/(-45). Let g = -0.05 - -0.25. Let l be 12*3*(-2)\/(-312). Sort l, b, g in increasing order.\nAnswer: g, l, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 629174\/124185 + 2\/8279. Is 0.1 smaller than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -80 + -126?\nAnswer: -216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 487597?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 + (2 - (0 - -6)). Suppose -3*g + 10 = 2*g, -2*t + 2*g + 52 = 0. Suppose -t*j + 33 = -107. Sort j, -12, c.\nAnswer: -12, c, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*v + 80*v + 792 = 0 for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1053) + (-1*sqrt(1053))**2 - sqrt(1053) - sqrt(1053))*6 + ((sqrt(13) + 0 + sqrt(13))*-5)**2 + (sqrt(325) - (-1 + sqrt(325) - sqrt(325)))**2.\nAnswer: -44*sqrt(13) + 7944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/3186 and -151\/28440?\nAnswer: 5033880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 308*o**3 + 45*o**2 wrt o?\nAnswer: 1848","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -2*s**5\/13 - 4*s**4\/13 + 222*s**3\/13 - 776*s**2\/13 + 56*s = 0?\nAnswer: -13, 0, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10\/2 - (2 - 0). Suppose 3*j - 4*c - 16 = 0, 0*c + 32 = k*j + 4*c. What is the smallest common multiple of 20 and j?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -5*m**2 + 4*m - 20. Let k(j) = -j**2 + j - 4. Give 11*k(q) - 2*t(q).\nAnswer: -q**2 + 3*q - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*u + 14. Let b = -242 - -345. Let r = b + -100. Solve -u*j + o - 15 = -3*j, 0 = j - r*o + 5 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -399*t**3 - 8*t**2 + 91*t - 4. Let w(g) = 1597*g**3 + 36*g**2 - 363*g + 17. Let p(z) = -9*r(z) - 2*w(z). Find the second derivative of p(b) wrt b.\nAnswer: 2382*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-20)\/6)\/((-1)\/3). Let i = w - 7. Find the second derivative of -l**4 + i*l - 2*l + l wrt l.\nAnswer: -12*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 128 and 24704?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g*g**(-1\/2)\/g))\/(g\/(g*(g**1\/g)\/g))*g**(-1\/3)*g**(-1\/3))**(-3\/22) assuming g is positive.\nAnswer: g**(1\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -161 and -7484.\nAnswer: 1204924","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let j be (1\/2)\/((-10)\/220). Let m = -11 - j. Let t = -0.028 - 3.972. Which is the third smallest value? (a) 2 (b) m (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**2)**7*d**(-2)\/(d*d**(2\/7)*d))**(4\/5))**10 assuming d is positive.\nAnswer: d**(544\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 159865 is divided by 50?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v + 3. Let q be n(-3). Suppose 5*t = 3*t + q. Solve y + t = -0*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14209 - 14206. Solve 2*g = -3*r - 9 + 5, 3*r = k*g + 6 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 8*s + 3*s - 4*s + 45 + s**2. Suppose 0 = 2*d - 5*x - 4 + 7, 5*x + 81 = -4*d. Calculate the remainder when w(d) is divided by 36.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -85 smaller than -83?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzzztt. What is prob of sequence ztzz?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*d**2 - 44*d**2 + 11*d**2 + 3*d**2 + 13*d**2.\nAnswer: -9*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -g**4\/4 - 119*g**3\/2 - 5202*g**2 - 196520*g - 2672672 = 0.\nAnswer: -68, -34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 14*p**2 + 70. Let n(v) = -1. Let l(f) = 70*n(f) + x(f). Let k(i) = -i**2 + 2*i**2 - 5*i**2 + 2*i**2. What is k(l(z))?\nAnswer: -392*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -267*c**2 - 13*c + c - 12*c + 263*c**2 - 3*c to q*c + u + p*c**2 and give q.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -57*w + 3098. Let d be u(53). Solve -2*l + b + 1 = 0, 5*l = 4*b - d + 75 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*-3*(-1)\/12. Let f = -7.2 + 7. Let v = -107.1 - -107. Which is the nearest to f? (a) -0.5 (b) v (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*u**3 + 6*u**3 + 6*u**3 + (2*u - 2*u + 2*u**2)*(-3*u + 3*u + 2*u) + 4*u**3 - 6*u**3 + 3*u**3 in the form y*u**3 + m*u + q*u**2 + c and give y.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2623930 by -9.\nAnswer: -2623930\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of m**4\/12 - m**3\/2 - m**2\/2 - 57*m. Determine o(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1152 divided by 6\nAnswer: -192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*x - 18*x + 1205. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23.5 - 16. Let j = o + -8. Let p = 0.4972 + j. What is p rounded to three decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3753*t**3 + 4210863*t**2 + 1181144547*t - 944163.\nAnswer: 3*(t + 561)**2*(1251*t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1149611, -1\/11, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 - 18*r**2 + 6*r + 3. Let i(m) = 2*m**3 + 38*m**2 - 13*m - 7. Let z(o) = 6*i(o) + 13*j(o). Determine z(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1658 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 1249*f**2 - 562*f**2 - 686*f**2 + 5481 in the form j*f + i*f**2 + l and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 467 a factor of 360937904?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.2 - -1. What is the third biggest value in 2\/11, q, 0?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 + 106*w**2 - 811*w + 85937. Give f(106).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8905 - 8833. Calculate the smallest common multiple of 1770 and u.\nAnswer: 21240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from uhhhuhhhuhuhhh?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 168 and 59304.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 232693.2mm in kilometers?\nAnswer: 0.2326932","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 11:04 PM?\nAnswer: 7:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h - 1. Let s be w(6). Suppose 13 = s*t - 22. What is the first derivative of -t*b + 0 - 2 + 7 wrt b?\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = b + 4*t - 17, -3*b + 21 = 3*t for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a milligram in micrograms?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2392551.000006 + 2392554. Let p = -3.01 - -0.01. Let s = z + p. Round s to five decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1605*d**2 + 28 + 657*d**2 + d**3 - 14.\nAnswer: d**3 + 2262*d**2 + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 + -3. Suppose -v + z*v + 4 = 0. Let i be -60 + 0\/3 - v. What is i rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19 - 75\/4. Let m be ((-8)\/(-26))\/(54 - 692\/13). Which is the second biggest value? (a) s (b) -0.1 (c) m (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 3*i**2 - 2*i + 1. Let j be s(1). Let u(f) = 5*f**3 + 4*f**2 - 6*f**2 + 2 + 3666*f + f**2 - 3667*f. What is the units digit of u(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.79 + -8.21. What is the closest to 2\/9 in u, 3, 1\/6, 0.1?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i - 24, -74 = -4*s + 54*i - 57*i. Solve -2*c = 9*z + s, 4*z - 4*c = -c - 18 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 + (-10)\/(-12))\/(2\/(-6)). What is the nearest to -1 in b, 5, 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(24)\/(sqrt(48)\/sqrt(8)))\/(sqrt(2) + sqrt(18)\/(sqrt(9)*-3 - sqrt(9))) + -1)**2.\nAnswer: -8*sqrt(2)\/3 + 41\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0005261164 to five decimal places.\nAnswer: 0.00053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 - 15.9. Let j = -17 - -20. Put -4, h, j in increasing order.\nAnswer: -4, h, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 713.1084 millilitres?\nAnswer: 0.7131084","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2756975?\nAnswer: 5, 13, 17, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 6 = 2*s, -108337*s - 52 = -6*a - 108333*s for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/6541728 and 109\/996.\nAnswer: 6541728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -5*g + 56. Suppose 0 = -g*l - 9*l + 5200. List the prime factors of l.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1623 + 75?\nAnswer: -1537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, 190, -4 in decreasing order.\nAnswer: 190, 1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2 + 5*v + 11. Calculate n(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 214765 (base 11) to base 15\nAnswer: 6b95a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzdqkzzgqzkq. Give prob of sequence gk.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2359014 = -91*y - 2365384 for y.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -132, -142, -164, -204, -268, -362?\n\"Answer: -z**3 - 3*z - 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the third derivative of f**5\/60 - 55*f**3\/3 - 388*f**2. Let p(n) = 4*n. Calculate y(p(k)).\nAnswer: 16*k**2 - 110","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -59964, -59954, -59944, -59934, -59924, -59914?\n\"Answer: 10*i - 59974","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 3 (b) -0.2 (c) 1.9 (d) -28\/5 (e) 2\/3 (f) 3\/1799\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252) + -1*2*sqrt(252))*5*-3)**2.\nAnswer: 56700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 4545892 divided by 346\nAnswer: 2272946\/173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5081 is divided by 1453?\nAnswer: 722","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -3*k + 5. Let u(x) = -8*x + 15. Let n(v) = 2*u(v) - 7*w(v). Let o(h) = -1. Determine -n(f) + 5*o(f).\nAnswer: -5*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 66 and 231?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.007861 rounded to four decimal places?\nAnswer: 0.0079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3248, 6525, 9814, 13115, 16428?\nAnswer: 19753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 19458?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -2*k**2 + 32*k + 12. Let p be a(15). What is the highest common factor of 6 and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9178 + 9178. Solve -52*z + 53 + 51 = t for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001111101 (base 2) in base 9?\nAnswer: 777","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 4, o: 8, m: 3, d: 4}. What is prob of picking 2 m and 2 u?\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 0*f = f - 11, -5*k - 4*f = -32. Suppose 5*r - 14 = -5*x - 49, -3*r = -k*x. Let n = r - -6. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/24 + (-816)\/(-384). Solve -2 = 2*p - 2*x, 0 = h*p - 3*p - 3*x - 13 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31692 divided by -10564.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116974 is divided by 116968?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -44 + 52. Let y(w) = -w**3 + 10*w**2 - 10*w - 8. Calculate the remainder when y(t) is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of -n**3\/2 - 2*n**2 - n. Let f be q(-2). Which is greater: f or 0?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 56.158 to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/3*78\/(-16))\/(18\/(-72))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**2 - 6*h**2 + 0*h**2)*(-3 - 3 + 7)*(3*h - 2*h + 2*h).\nAnswer: -15*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3011038?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -703a4 (base 11) to base 3\nAnswer: -12020020111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -27914*b**2 + 4607*b**4 + 27912*b**2 + b + 2569*b**4 in the form q*b**3 + y*b**2 + u*b**4 + f + s*b and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 - s**2 - 2*s + 1. Suppose -22606 = -81*u - 97*u. What is the remainder when u is divided by i(3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -31271 - -178539. Let c = -61268 + o. What is c rounded to the nearest ten thousand?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 6, h = 4*h + w - 849. What is the hundreds digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -57868*s + 2*s**2 - 4*s**2 + 57388*s as v*s**2 + b*s + h and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the third derivative of -43*q**4\/24 + 17*q**3\/3 - 39*q**2 - 2*q. What is the first derivative of o(i) wrt i?\nAnswer: -43","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 a when two letters picked without replacement from {t: 5, h: 4, a: 1}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -90*k**4 - 159?\nAnswer: -360*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -10.95 (b) -3\/4 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 3*j + 1258, -10*d + 9*d + 349 = 5*j. Calculate the remainder when d is divided by 107.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**6*o\/(o**(-1\/16)\/o)*o**(-7)*o\/(o*o**(-7)\/o)*o)**(-32))**(-18) assuming o is positive.\nAnswer: o**6372","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1900 * 2806.\nAnswer: -5331400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -109*s**2 - 94*s**2 + 205*s**2. Let c(z) = 143*z**2. What is l(c(k))?\nAnswer: 40898*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36, -95, -160, -231, -308, -391, -480?\nAnswer: -575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 15\/(-15)*4\/(-3)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6451 * -1\nAnswer: -6451","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 52292 and 204.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 486259448 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2*s + 2 + (-5 + 6 + 0)*(-8 - 8 + 3)*(-s + 3*s + s).\nAnswer: -37*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 17765223 to the power of 1\/3, to the nearest integer?\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.74 and -121.\nAnswer: -121.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 1054?\nAnswer: -3\/1054","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -48 - -47.907. Let b = w - -0.0688. What is b rounded to 3 dps?\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 15*n + 4. Let q be v(4). Suppose 7*d = 3*d - 4*o + q, -2*o + 54 = 4*d. What is the remainder when 32 is divided by d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35938 to the power of 1\/2, to the nearest integer?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 17, -0.2, 3, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-12))\/(-9 - -12).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 74250\/(-144375)*(-80)\/(-12).\nAnswer: -24\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:43 AM and 4:59 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvbv when four letters picked without replacement from {b: 7, v: 3}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 + 23*j**2 - 88*j - 243. Determine k(5).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-324)\/45 + 3 - (10827\/(-135) - -16)?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 + 7*d**2 - 6*d + 4. Suppose 2*x - 15 = -3*l, 4*x = x - 3*l + 21. Let g be a(x). Solve -3*s + 17 = -g*b - 3, 2*s + 2 = -5*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19685107 to the power of 1\/4, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dq when two letters picked without replacement from {q: 5, d: 5}?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 0)*(-1 + 2 + 1)*(2588852*y**2 + 0*y - 2588849*y**2 - 6*y + 21).\nAnswer: 12*y**2 - 24*y + 84","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4 - (2 + -333)) + -2 - 3. Let n = w + -50. List the prime factors of n.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-14)\/20 - ((-190)\/(-50) + -4). Sort -1, w, 12.\nAnswer: -1, w, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 391.8 and -4624945.\nAnswer: -4624553.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = 3*t, 5*n - t - 5 - 9 = -0*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4312116 is divided by 154004.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16464730, 16464734, 16464748, 16464778, 16464830?\nAnswer: 16464910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a week in minutes?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 24 + 11 + 37*q + 8*q + 15 in the form a + k*q and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + (-6)\/5)\/((-2422)\/(-66605)).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/209 (b) 0.1 (c) 1 (d) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19344823 is divided by 336.\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7*222\/(-3885)*80\/496.\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -170, -172, -188, -224, -286?\n\"Answer: -y**3 - y**2 + 8*y - 176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i + 2250 + 6*i - 3*i - 2238 - 9*i**2 - 3*i.\nAnswer: -9*i**2 + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 955\/((-2)\/14*(-2)\/(-8000)). Round g to the nearest 1000000.\nAnswer: -27000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -13 + 6458*o**2 - 6456*o**2 + 13. Let c(y) = -39*y - 20 + 47 - 27. What is c(z(t))?\nAnswer: -78*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 2*k - 6 - 12 = 0, 2*z - 33 = -5*k for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the third derivative of y**5\/4 - y**2. Calculate b(-1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105113 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -k - s, 4*s = -10*k - 157 + 191 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/((x**(-20)*x)\/x*x))\/(x**37*x)*(x\/x**(1\/29))\/x**(-24))**(2\/51) assuming x is positive.\nAnswer: x**(404\/1479)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*a - 4*v, 17 = -5*a + v - 3*v. Does 10 divide -2 + 140\/8 + a\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, -14, -2, 1 in ascending order.\nAnswer: -21, -14, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -33*r - 33 wrt r.\nAnswer: -33","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 118517022 divided by 8418?\nAnswer: 14079","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 813 - 525. Does 36 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -130075*a**4 + 112*a**2 + 14367*a - 1624?\nAnswer: -1560900*a**2 + 224","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + u + 40. What is the common denominator of -65\/9 and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 AM and 3:29 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -3*u + 21, 8 + 24 = 5*u + 2*j. Let g = 29 - u. What is the remainder when g is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 + 4*k**2 - 2*k - 2 - 5*k**2 - 6*k**2. Let n be q(-5). Is 2\/(4\/n*-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*w**2 - 38*w**2 - 35*w**2 + 111*w**2.\nAnswer: 7*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-3*(sqrt(77) - (3*1*sqrt(77) - sqrt(77)))*2)\/((sqrt(11) - (sqrt(11) - sqrt(66)\/sqrt(6)*6)) + (sqrt(176) - sqrt(11))*4).\nAnswer: sqrt(7)\/3 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + 3. Solve 2*w + 8 = b*w + 5*g, 4*w + 3*g - 16 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 3*a**3 - 1. Let t be l(-1). Let f(c) = c**3 - 9*c**2 + 18*c - 4. Let z be f(5). Let x = t - z. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 5*y + 5430025, -4*y = -2*h - 2307467 + 5927487. What is h rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11000111011101 (base 2) to base 4\nAnswer: -3013131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*v - 22*v + 16. What is the smallest value in 12, 2, v, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 8 - 7*o)*(2 - 2 + 2*o**2).\nAnswer: -14*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 169 + -195.1. Let j = 25 + q. Let v = -1 - j. Which is bigger: v or 0.05?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98837231 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 + 2495271896?\nAnswer: 2495271896.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 + (-84)\/(-81)*114. Let n = x - 114. Factor 2\/9*t**5 + 2\/9*t - 4\/9*t**2 + n + 2\/9*t**4 - 4\/9*t**3.\nAnswer: 2*(t - 1)**2*(t + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 5 = 8*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:34 PM and 5:29 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t**5 - 5450*t**4 - 172105*t**3 - 1843150*t**2 - 7281500*t - 5605000 = 0. Calculate t.\nAnswer: -10, -1, 1121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*m\/m**1)\/m)**(-13\/5)\/(m\/m**0)**(3\/11) assuming m is positive.\nAnswer: m**(-158\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of n**7\/420 + 3*n**6\/80 + n**5\/5 + 5*n**4\/12 - 1010*n**2. Factor r(b).\nAnswer: b*(b + 2)**2*(b + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 4*g + 1. Let b be x(1). Suppose b = 3*q - 4*s, -11 = 3*s + 4. Let f(w) = 2*w - 1. Determine f(q).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 652.155 months in millennia?\nAnswer: 0.05434625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 416080709 to the power of 1\/2, to the nearest integer?\nAnswer: 20398","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21274, 42531, 63768, 84985, 106182?\nAnswer: 127359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (85\/340)\/((-1)\/(-4)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1058 and 138.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-396)\/(-63)*21*4\/24*(-96)\/960.\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -552321555 + -1?\nAnswer: -552322000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -140 (b) -0.6 (c) 0.4 (d) -8 (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 36773\/5115 - 8 - (-2)\/15. Let v = -1\/93 - x. Solve -v*b**2 - 1\/9 - 7\/9*b = 0 for b.\nAnswer: -1, -1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -291*m**3 - 4*m**2 + 598*m**3 - 300*m**3 + 2*m**2 - m. Let p be j(-1). Which is the nearest to -4? (a) -1 (b) p (c) -3 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0128*-0.5\nAnswer: -0.0064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 84, -57, -2, 0.5 in descending order.\nAnswer: 84, 0.5, -2, -5, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 866*b**3 - 879*b**3 + 3 - 3.\nAnswer: -13*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 + 48\/(-9))\/((-4)\/(-6))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - -5 - ((-19 - -2) + 55).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1190)\/(-240) - 5)*2?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -18*k - 5 + 7*k + 9*k. Let w(l) = l**3 + 4*l**2 + 2. What is the remainder when w(-3) is divided by j(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 u when three letters picked without replacement from {o: 1, u: 2, m: 2, d: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5690 + 5690.04. Which is the third biggest value? (a) -1\/6 (b) -2\/13 (c) -0.04 (d) 0 (e) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6266208?\nAnswer: 2, 3, 13, 5021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(405) + 4 + sqrt(405) + sqrt(405)*-1 + -1 + -1 + sqrt(405) + -4.\nAnswer: -2 + 18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 2*w + 8. Let f = w - 4. Solve f*a - 3 = 1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h = -a - 9, -48 = 3*h + 5*a - 75 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 - 6*v**2 - 2*v + 3. Let m = 123 + -123. Suppose 3*q = 2*q + 4. Suppose -8*j = -4*u - q*j + 4, m = u + 2*j - 16. Give i(u).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (32*3\/(-12))\/(-5).\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2482414 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 - -2. Let n be 18\/(-27) + j\/(-6). Which is bigger: n or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 45331?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 974 = 7*d - 5*d. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52004.\nAnswer: 2, 13001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 - 1*-2)*2. Let y = v + -5. Solve y = 5*p - 24 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -82699 - -82699.0720085. Let s = y - 0.072. Round s to six dps.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*m**4 + 5*m**4 + m**4 + (2*m - 2 + 2)*(2 - 2 + 2*m**3) - 3*m**4 - 2*m**4 + 4*m**4.\nAnswer: 4*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 754*p - 757*p - 13 - 5*p**2 + 6*p**2. Let q be a(5). Sort -9, -2, q in decreasing order.\nAnswer: -2, q, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -206770 rounded to the nearest one thousand?\nAnswer: -207000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oaoociouiassacica. What is prob of picking 1 s, 1 u, and 2 c?\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 368 - 241. Let i = -72 + c. Let d = 32 + i. What are the prime factors of d?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 157210*f**3 - 157311*f**3 + 1.\nAnswer: -101*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 196 and 7716716.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -25 + 27. What is the least common multiple of 18 and y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-20))\/((-1)\/(-6)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9 or 197?\nAnswer: 197","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y + 0*y + 151 - 147)*(1 - 1 - 1).\nAnswer: -3*y - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2*q + 44. Let h(m) = -2*m - 45. Let v(i) = 2*h(i) + 3*o(i). Does 10 divide v(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1480ac9 (base 13) in base 7?\nAnswer: 106415555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 5 = -2*q - 2*q, 2*z = -4*q + 10. Differentiate -36*f**4 + z*f**4 - 61 + 90 with respect to f.\nAnswer: -132*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a**2 - 24*a**3 + 25*a**3 + 24*a**2.\nAnswer: a**3 + 25*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8\/293 + 14277\/2930. Let v = r - 9\/2. Determine t so that 6\/5*t**4 - 8\/5*t - v - 4\/5*t**2 + 8\/5*t**3 = 0.\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 3:05 AM?\nAnswer: 11:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 322709 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-8955)\/10)\/((-2)\/(-4)). Let g be 3 - (-1 - -65*x\/22). Let t = g + -5293. Find the common denominator of 101\/48 and t.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -16*i**2 - 6*i + 16. Let s(g) = -g + 35. Let x be s(13). Let y(a) = -3*a**2 - a + 3. What is x*y(j) - 4*f(j)?\nAnswer: -2*j**2 + 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 237813, 475625, 713437, 951249, 1189061?\nAnswer: 1426873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tuatuwl. Give prob of sequence lt.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(260) + (sqrt(260) - -2*sqrt(260)))*1)\/(sqrt(160)\/sqrt(2)))**2.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 6.79875 millennia?\nAnswer: 6798.75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 433 + 378*b**2 - b - 439 + b.\nAnswer: 378*b**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together 429020 and -1.\nAnswer: 429019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2288581, -2288580, -2288579, -2288578, -2288577?\nAnswer: -2288576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 146715499?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 917*l**4 + 101 wrt l.\nAnswer: 3668*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 100 = -0*q. Let p = -21 + q. Solve 5 + p = -3*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m - 2*p - 4, 2*p + 3*p - 15 = 0. Let c be 0*3\/12 + m. What is the units digit of (-4 + c)*-2 + -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - 2*p + 5*a = 37, 0 = 3*a - 3. Suppose c - 2*c = -p. Calculate the remainder when c is divided by 30 - 155\/558*90.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-369)\/246*30\/(-3)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 71478?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 70219304?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together 31241 and 1744110.\nAnswer: 1775351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**2 + 1 - 1)*(-39 - 55*s**3 + 39 - 2*s**2).\nAnswer: 55*s**5 + 2*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 26 and -1.57?\nAnswer: 27.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2*l**2 - 3*l - 12. Is 9 a factor of z(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -652 + 113255?\nAnswer: 112303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.1 + 7.34. Let s = 0.119 + -5.019. Let a = s + q. What is a rounded to one dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2\/17 (b) -88 (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 2*s. Let o(q) = -q**2 - 5*q. Let w be o(-4). Let b(x) = 5 - 5 + w*x + 0. Determine b(t(n)).\nAnswer: 8*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -226.6 in 1\/2, 0.2, -186?\nAnswer: -186","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -10991865, -21983721, -32975577, -43967433, -54959289?\n\"Answer: -10991856*u - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1\/(-3))\/(-1)*-6. Let o = -1 + a. Let h be (-5)\/(3 + -3 - -1). Sort h, o, -4 in descending order.\nAnswer: o, -4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78208 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*s = -14*s - 4*m - 2, 4*s - 7 = 3*m for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 210*t*y**4 - 2*t*y**3 - t*y - 2*t + 2*y**2 - 49*y wrt y?\nAnswer: 2520*t*y**2 - 12*t*y + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*s = -108*s - 4 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -6 - -12 - 3 - (1 + 0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 705549 by -1.\nAnswer: -705549","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the third derivative of 0*j**5 - 10*j**2 + 0*j - 1\/120*j**6 + 1\/24*j**4 - 3\/2*j**3 + 0. Determine o(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 29\/(-1 + 28\/26). Let b = -373 + u. Calculate the remainder when 25 is divided by b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 16) to base 4.\nAnswer: -103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2010 - 11?\nAnswer: 1222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -2*i - 6. Let s(y) = -y - 3. Let a(f) = -f**3 + 37*f**2 - 33*f - 97. Let b be a(36). Give b*s(g) - 6*z(g).\nAnswer: g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is four fifteenths of a century in months?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 149291 is divided by 572.\nAnswer: 571","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 76 divided by 6.\nAnswer: 38\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, -4, -6\/11, -5, -0.03?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**0*n**(1\/7))\/(n**(2\/5)*n*n**(-5\/6)\/n) assuming n is positive.\nAnswer: n**(331\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -2*w**2 + 14*w - 6. Let v be y(7). Does 21 divide (-615)\/(-9) - ((-14)\/v + -3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a - 2*a + 3*a)*(-4*a + 0*a + 2*a) + 296*a + 10*a**2 - 1 - 48*a - 9*a**2.\nAnswer: -a**2 + 248*a - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -32, -7163110, 3 in increasing order.\nAnswer: -7163110, -32, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 60769 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 79217 and 481.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1907 by 70.\nAnswer: -1907\/70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 9330137, 18660289, 27990443, 37320599, 46650757?\n\"Answer: f**2 + 9330149*f - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**4)**(3\/40))**(-18\/5))**(-10\/7) assuming w is positive.\nAnswer: w**(54\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 a when three letters picked without replacement from lxaljlllaxllljxl.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5100 (base 7) in base 15?\nAnswer: 7c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of i**6\/120 + i**5\/40 - i**3 + i**2. Let t(w) be the first derivative of f(w). Let t(d) = 0. Calculate d.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.18 and -3.\nAnswer: 0.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -641215874 divided by 320607937\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5*((-55)\/(-25) + -2) + 4. Solve r*z - 4 = 16 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3127356 to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, d: 4, u: 6, a: 6}. Give prob of sequence duu.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) 0.1 (b) -920 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2211?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 9 + -17 - -7 - (3 + (-1 - 8))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22033 and 927389.\nAnswer: 2003","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 645306 by 821.\nAnswer: 786","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 + w - 2*w - w**2 + 3 - w**2. Let a be l(-3). Let n be (-2 + (-1)\/(-1))*a. Solve 4*r - 16 = -q, 13 = n*q - r + 30 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 9 = 2*u, 3*u - m + 2*m - 4 = 0. Let b be (4\/12)\/(u\/54). Is 0 + (-50)\/b*-3 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61560 is divided by 982.\nAnswer: 676","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/11))**22 assuming t is positive.\nAnswer: t**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 - 5*l**2 - 8*l + 14. Let o be k(6). Suppose -o*b = 6*b - 40. Which is greater: b or 4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 0*c = 2*c - 5, -5*d + c - 8 = 0. Let x be (13 + 350\/(-42))*6\/4. Let n = d + x. What is the highest common factor of n and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 1537031?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pq when two letters picked without replacement from {p: 5, q: 4, c: 1, a: 5, b: 4}.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -3.1, 4, 37?\nAnswer: -3.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(1 + sqrt(325) + sqrt(325) + -2)*-2*1.\nAnswer: -2 + 20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 + 2 + (-9760)\/136. Let j = -10789\/170 - n. Calculate the common denominator of 8\/28 - (-90)\/(-14) and j.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 545 - 548. Is i smaller than -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express i**3 + 55*i**2 - 22*i**2 + 144 + i**3 - 110 as j*i + x*i**2 + v*i**3 + h and give x.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*1*(-4 + -5 + 2 + sqrt(1700)*1 + 2) + 0)*-6)**2.\nAnswer: -90000*sqrt(17) + 1552500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-7)\/n*n)\/((n*n*(n**(-4\/7)*n)\/n)\/n))**(-30) assuming n is positive.\nAnswer: n**(1560\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6 take away 675496?\nAnswer: -675496.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(((-95)\/50)\/19)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 825 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 5*q - 36. Let d(n) = n - 9. Let m(y) = -9*d(y) + 2*k(y). Let r(h) = h**3 - 3*h**2 - h - 5. Let b be r(4). Is 10 a factor of m(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -d703d (base 14) to base 6.\nAnswer: -15041131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i**2\/3 - 13*i\/3 = 0. What is i?\nAnswer: -13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 + 4*w + 6. Let s be r(-4). Let v = s + 239. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(55\/2) - (-2 - 13\/(-11)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12.909 - -12.958128. Let i = d + -0.049. What is i rounded to 5 decimal places?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 7:12 PM?\nAnswer: 2:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/25 and -93\/130.\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the third derivative of n**4\/2 - 1422*n**2. Let u(d) = -39*d**2 + d. What is u(x(h))?\nAnswer: -5616*h**2 + 12*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in 0, 2\/3, -4\/7, 5944, 1?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1008, -1011, -1014, -1017, -1020?\nAnswer: -1023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 398184 + -709584. Round m to the nearest ten thousand.\nAnswer: -310000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 2*y - 116. Let c(k) = 38*k**2 + 9*k - 6. Let s(u) = 27*u**2 + 6*u - 4. Let d(i) = 4*c(i) - 6*s(i). What is r(d(p))?\nAnswer: -20*p**2 - 116","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 124745746 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44656920 divided by 1.\nAnswer: -44656920","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*y = 1572037 + 1361513. What are the prime factors of y?\nAnswer: 2, 3, 5, 41, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 10*l - 36. Let v = 39 + -42. Let s be o(v). Let a = s - -66. Solve 2*b + 1 - 11 = a for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 369114268 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 30 + -35. Let o = -4 - k. Let x(h) = h**2 + 8*h + 4. Let c be x(-8). Sort o, c, 0 in decreasing order.\nAnswer: c, o, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vjjvv. What is prob of sequence jjv?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -y + 43, -r = -6*r + y + 69. Let q = 602 - 567. Calculate the remainder when q is divided by r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 48 (b) -0.2 (c) 4 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2 * 132\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 202104251 to the power of 1\/2, to the nearest integer?\nAnswer: 14216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(192) + 3))**2 + (3*sqrt(480)*6)\/sqrt(10).\nAnswer: 201 + 120*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 13*k**3 + 28*k**2 - 14*k + 27. Let l(t) = 12*t**3 + 29*t**2 - 13*t + 22. Let j(p) = 7*l(p) - 6*x(p). Calculate j(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-5)*10\/(160\/184).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9726 - -105748\/11. Is 0 at most as big as j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2039 + -1455. List the prime factors of o.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/2, 0.4, 0.3, 3, 65?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 88\/(-16) + 6 + 9\/(-6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -33423 - -33425. Let t = 1.2 + -0.2. Let k = -0.33 + 0.13. Which is the closest to k? (a) t (b) x (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -8*c**2 - 56*c + 12. Let l(y) = y**2 + y - 1. Let m(g) = 12*l(g) + q(g). Factor m(r).\nAnswer: 4*r*(r - 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13778*d**3 + 2162316*d**2 - 260595*d\/2 + 3925\/2.\nAnswer: (d + 157)*(166*d - 5)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 132 + -65. Is m smaller than 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 + 170 = -4*h + 2*d, 2*h + 2*d = -112. Let a = h - -52. Let m = a + 10. Let b(i) = -4*i**2 + 2*i - 1. What is b(m)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -123 - -128. Which is the smallest value? (a) g (b) 0.07 (c) 1\/2 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 159*h + 431 = -391, -2*h = -4 + 14 for l.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 5*g + 201 = 3*h, -4*h + 5*g = -269. Calculate the greatest common factor of h and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 147532470?\nAnswer: 2, 3, 5, 593, 8293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 24295651 to the nearest integer?\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 3*k - r, 4*k - 2*r - r + 15 = 0. Let q be 12\/18 - (92\/k)\/1. Solve 4*y = 2*u - 2, -3*y - 4*u + 42 = q for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 3*y**2 + 15*y + 21. Is 3 a factor of d(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-172)\/2795 - 1672\/4940.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 31 (base 4) to base 7\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82118.\nAnswer: 2, 19, 2161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33 and 858.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8923 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + d = -5*v + 12, v + 4*d = 10. Suppose -4*z + v*u + 54 = u, 4*z + u = 50. Is z a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13998 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2776344*y = -2776371*y - 27 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 17, 5, -1, 686, -3\/2?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + 1108038?\nAnswer: 1108039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of -3*(-2)\/3 + 14 and (-17 - (-605)\/35)\/((-1)\/(-203))?\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 345*q = 343*q + 4*m + 266, 4*q - 532 = -5*m. Calculate the highest common divisor of q and 119.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 3*o = -6. Calculate the remainder when o is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -42.94006073 - -42.94. Round o to five decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y + 2*y + 0*y)*(-3*y + 3*y + 3 + 2*y**2)*(-2*y**2 + 0 + 0).\nAnswer: 8*y**5 + 12*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -115670000 to the nearest 1000000.\nAnswer: -116000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -295119 times -0.56\nAnswer: 165266.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3\/(-2))\/((-6)\/8). Suppose 2*k - p*h = 8, -4*k - h - 2 = h. Suppose -6*z + 1 = 2*z - 23. Which is smaller: k or z?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 255, 263, 285, 327, 395?\n\"Answer: x**3 + x**2 - 2*x + 255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 33*o + 25*o + 17*o + 4 - 2*o - 4 + (o + 2 - 2)*(0 - 1 + 2) + 0 - 2*o - 3 - 1.\nAnswer: 72*o - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 3*p = 74833, -2*p = 368 - 370. What are the prime factors of g?\nAnswer: 2, 7, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -224087391 by -251501.\nAnswer: 891","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 3*q**2 + q. Let u = -9 + 6. Let o be z(u). Suppose -t + o = 3. Calculate the greatest common factor of t and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -262 (base 13) in base 10?\nAnswer: -418","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 82096\/84*6\/4 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-4*-5*sqrt(192)*2 + 2 + sqrt(192) + 1 + -4)**2.\nAnswer: -656*sqrt(3) + 322756","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 17.12*-66.5\nAnswer: -1138.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 + 6*i - 134. Let r(d) = -4*d**2 + 36*d - 15. Let y be r(9). Let b be p(y). Which is smaller: -1\/869 or b?\nAnswer: -1\/869","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from udddjjjj. Give prob of picking 1 u and 1 d.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35055.\nAnswer: 3, 5, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1172.71 + 1188. What is d rounded to one decimal place?\nAnswer: 15.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 66*p - 95. Calculate h(-4).\nAnswer: -359","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2579363 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 2*d = -5*b + 351, -b + 66 = 4*d. What are the prime factors of b?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -0.2, -0.1, -1\/4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -1666550 - 228*n**2 + 1666550. Let u(k) = 4*k. What is g(u(m))?\nAnswer: -3648*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 2 + 1 = 0. Suppose -3*b = o*d - 414, 697 = d + 4*d - 2*b. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11847, 23649, 35451, 47253, 59055, 70857?\nAnswer: 82659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 4. Suppose 5*g + w*p - 298 = 0, 0 = -g - g + 2*p + 122. Suppose 0 = -7*o + 4*o + g. What are the prime factors of o?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9531109*z**4 - 4*z + 9531110*z**4 + z**2 + z**3 - 23 - 2*z**3 to t*z**2 + m*z**3 + w*z**4 + p + h*z and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/16 of a century in months?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19113?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -10, 5, 36, 89, 170, 285, 440?\n\"Answer: d**3 + 2*d**2 + 2*d - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 30899375.\nAnswer: 4\/30899375","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 1063 divide 34479413?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 37 = 7. Let s be 6\/(-3*(-4)\/h). Solve -c + 2*c = s for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1.4 and -328\/93 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81687.\nAnswer: 3, 73, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 216, 2477, 8680, 20799, 40808, 70681, 112392?\n\"Answer: 329*n**3 - 3*n**2 - 33*n - 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 7. Suppose -2*o - 4*k = -42, m*o - 5*k = -k + 108. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggygugugggwuugy. What is prob of sequence ugwu?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 733 is divided by 121?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-42)*(140\/14)\/(-10).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5a1 - a56?\nAnswer: -1547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + -8.5. Let o = c - -1. What is the second smallest value in o, 0.2, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kno. Give prob of sequence kn.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*k + k - 1 + 13*k**3 - 6*k**2 + 5*k**2 - 6*k**3 to b*k**2 + m + a*k**3 + y*k and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (6\/7)\/((-240)\/(-71680)) is divided by 39.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 + 1. Let v(j) = -3*j**2 - 19*j + 75. Let r(q) = -4*u(q) - v(q). Let f be r(8). Solve 3 = 4*w - f for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3\/11 (b) -572 (c) -0.1 (d) 2\/9 (e) -8 (f) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*c**2 + 29*c**2 - 2 + 1 + 1.\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -223303222 (base 4) to base 15.\nAnswer: -38274","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 - -6. Let r be n + 5 - 2 - -4. Let i(t) = t**2 - 3 + 0*t**2 + 9 - 6*t. Calculate i(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2929 a factor of 151432229?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 28033, 28031, 28029, 28027?\n\"Answer: -2*d + 28035","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + -1. What is the nearest to 1\/4 in 4, v, 3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in one fifth of a millennium?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(96) + sqrt(96)*-1 - sqrt(96))*-5)\/sqrt(8))\/(((sqrt(216) - 1*sqrt(216)) + sqrt(6))*6).\nAnswer: 5*sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 + (24 - (-14 + 25))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 89 - 3*u + 224 - 7 to h + v*u and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -28919.54 rounded to the nearest 10?\nAnswer: -28920","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -77 + 23.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 831 - -538. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 33*a**2 + 8 - 49*a**2 - 4*a - 43*a**2 - 34*a**2 + 2*a**3 - a**3 wrt a?\nAnswer: 6*a - 186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -3*t + 79. Let q be c(28). Let s(u) = u**3 + 4*u**2 - 8*u - 3. What is s(q)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 442*b**3*i + 11*b**3 - b**2*i + 299*b**2 + 25444*b*i - 311*i wrt b?\nAnswer: 2652*b*i + 66*b - 2*i + 598","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 0.4, 5\/39?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 3689417\nAnswer: 1844708.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -270.000009 - -270. What is s rounded to five dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10110011001100000000 (base 2) to base 4\nAnswer: 2303030000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 33340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000090139666 rounded to 7 dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + c - 6, -2*c + 4*c = -6. Solve b - k*b = -6 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/81 and -3\/20?\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1*((1 - 1)\/(-2) + 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**2\/b)**(-3\/5)\/((b\/b**(-2\/9))\/b**(-9)))**(-2\/5) assuming b is positive.\nAnswer: b**(974\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10389?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -11627 times -0.69?\nAnswer: 8022.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 649 + -429. List the prime factors of v.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -606304 + 4316?\nAnswer: -601655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3581343 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 136694?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 129009\/19 - (-97)\/1843?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 15*r - 5. Let l(c) = -76*c + 26. Determine 16*i(m) + 3*l(m).\nAnswer: 12*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*s = -29*s + 8 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 12*n - 13. Let f(q) = -2*q + 1. Let w(a) = 4*f(a) + x(a). Suppose 8*i - 25 = 3*i. What is the remainder when w(i) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 - -29. Let r be 3\/((-18)\/(-4))*-18. Let d = k + r. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*2\/4*(-64)\/448?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-25)*(0 + 3 + 1 + -9).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -15*g**2 - 280*g + 20. Let a(d) = 2*d**2 + 40*d - 3. Give -20*a(q) - 3*j(q).\nAnswer: 5*q**2 + 40*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(117) + sqrt(117)*-2)\/sqrt(9) + sqrt(13))*6 + sqrt(52)*2 + 5)**2.\nAnswer: 40*sqrt(13) + 233","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 564049 is divided by 47004?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10293 + 10301. What is the lowest common multiple of p and 167?\nAnswer: 1336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 551 a factor of 115159?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2747, -5736, -8969, -12446, -16167?\n\"Answer: -122*l**2 - 2623*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/116*(-32)\/(-6480)*-45?\nAnswer: -1\/58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 - 10*x**2 + 2*x + 18. Is i(-13) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 5, c: 1, u: 1, i: 1, l: 1}. Give prob of sequence ch.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 50936434 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5279 or -5282?\nAnswer: -5282","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than -2\/3255?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8289294 to the nearest integer?\nAnswer: 2879","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 59? (a) -0.4 (b) -1.7 (c) -4 (d) -1 (e) 3\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddndn. What is prob of picking 2 d?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 59*2\/(-8)*-116 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 6 - 1)*(-122 + 122 + 15*n**2) - 3*n**2 + 0*n**2 + 5*n**2 + (2 - 2 - 2*n)*(-1 - n + 1) - 2*n**2 - 2 + 2 to the form f*n**2 + r*n + z and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 3209032?\nAnswer: -320903.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1334a (base 12) in base 16?\nAnswer: -672a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -29992311*j**2 + j - 25904657 with respect to j.\nAnswer: -59984622*j + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 4*d - 2*p, -2*p + 41 = -21*d - 64 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q + 2 - 8 - 18 + 1 + 21. Let n(x) = -x + 2. Determine -6*m(z) - 5*n(z).\nAnswer: -z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + -21830549?\nAnswer: -21830544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -3*x**5 - 6594*x**4 - 182655*x**3 - 813288*x**2 + 1002540*x = 0.\nAnswer: -2170, -22, -7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d\/(d*d\/d**(-2\/13)*d)))\/(d\/(d\/d**(-29))))\/(d**(-3\/5)*(d\/(d\/d**20*d))\/d) assuming d is positive.\nAnswer: d**(959\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1711 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.11 + -0.09. Let r be (-10)\/(-46)*(-2)\/2. Let i = r - -61\/69. Which is smaller: x or i?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v + 11. Let c be m(6). Let d = 9053 - 9040. Sort c, -5, d in increasing order.\nAnswer: -5, c, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**2 - 14*j - 35. Let h be k(-11). Put 3, 6, h in descending order.\nAnswer: 6, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -8\/5*l**2 - l**3 + l + 8\/5 = 0.\nAnswer: -8\/5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g. Let r be a(6). Let y(k) = 2*k**2 - 8*k. Let o(x) be the second derivative of -x**4\/6 + 7*x**3\/6 + 39*x. What is r*y(i) + 7*o(i)?\nAnswer: -2*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 885168\/63 - (-5)\/7?\nAnswer: 14051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -295 in -4, 4\/7, -7\/15, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -4 + 7 - (11 + -3).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -225*s**2 + 48*s + 51. Let u(r) = -9*r**2 + 2*r + 2. Let j(t) = -6*a(t) + 153*u(t). What is the second derivative of j(n) wrt n?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 + 0)\/1 - (10 + -10). Let o(p) = p - 2. Calculate o(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000847931 rounded to 7 decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3719 is divided by 1032?\nAnswer: 623","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 25 - 25.47. Let l = k - -0.47000084. What is l rounded to seven decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 2:08 PM?\nAnswer: 11:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3180.15 from 99078.\nAnswer: 102258.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 232473?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*x - 38 = -8 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (213 - 337 - 1192)*(-h - h**2 + h).\nAnswer: 1316*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -100102.169945 + 100130.17. Let f = 28 - t. Round f to 5 dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 2:05 AM?\nAnswer: 2:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 128098 by 3371.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1779.11 - -1768.9. Sort 4, -0.1, 3\/4, h, -2\/5.\nAnswer: h, -2\/5, -0.1, 3\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-8)\/(-6)*(593\/2 + 2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tgrgqqm. Give prob of sequence tq.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8 and -31.2.\nAnswer: 249.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3506 + -3408. What is the lowest common multiple of 2 and s?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nozznkppppkknnnonnoz. What is prob of picking 1 k and 2 n?\nAnswer: 21\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -5556175398 take away 0.251?\nAnswer: -5556175398.251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13306\/3 + -66521\/15. Solve -3\/5*g**2 - s - 6\/5*g = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((2\/(-2))\/((-48)\/(-432)))?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1150359?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*i - 4 + 4 - 1 + 1 - 2*i + (1 + 0 - 2)*(3*i + 3*i - 4*i) + 3 - 3 - 2*i + 1 + 2*i - 1 + (4*i + i - 3*i)*(0 - 1 - 1).\nAnswer: -5*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*r - 6*r + 0*r - 7*r - 5988 + 5954 to s*r + f and give s.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 + 17*u**2 + 27*u - 42. Give v(-15).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/6 and -71\/20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s + 15*s - 5*s)*((2 + 3 - 4)*(0 + 1 + 1) - 2 - 4 + 7) + (-7 + 13 + 5)*(2 + 3*s - 2).\nAnswer: 66*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 + 5*p**2 - 2*p - 7. Give t(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 2*f**3 + 3*f**2 - f - 9. Let m be v(-2). Let a(w) = -15*w + 11. Let h(b) = -8*b + 6. Give m*h(j) + 6*a(j).\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 + 12*j - 9. Let q be v(-13). Differentiate -22 + 7*i**q + 12*i**4 - 18*i**4 wrt i.\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 440 + 320 = 2*l, 9*l = -2*j - 581 for l.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 95903175?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together -16864229102 and 72.\nAnswer: -16864229030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2*l**2 - 2. Let t be p(-1). Let a(v) be the third derivative of -1\/8*v**4 + t*v - 1\/3*v**3 + 0 - 1\/60*v**5 + 9*v**2. Calculate a(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -297614 divided by 134\nAnswer: -2221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20456.21 grams to nanograms.\nAnswer: 20456210000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 - 2*y + 2. Let c be l(2). Suppose -d + c = -0. Let x = 4 + 0. Solve -d*a + 4*t = -0*a + 8, -t - x = a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(12)*-4 - (3*sqrt(3) + -5))*-3)**2.\nAnswer: -990*sqrt(3) + 3492","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9 + 0 + 6)*(-4*f**2 + 0*f**2 + 5*f**2) + (1 - 1 + 2*f)*(-2 + 2 - f) to the form k*f + y*f**2 + i and give y.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2348 + 2347.5546. Let o = s + 0.45. Round o to 3 dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - a + 10 = -3*a, 3*a = 3*q - 15. Suppose -5*y = -q*y - 65. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**3 - 2901*w**2 - 11520*w + 34668.\nAnswer: -3*(w - 2)*(w + 6)*(w + 963)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, 3, -1\/12, 0.3 in increasing order.\nAnswer: -1\/12, 2\/9, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.272039cm in kilometers?\nAnswer: 0.00006272039","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*283176.8\nAnswer: -113270.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 897 and 9704344?\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-2*(-5 + (6*-1*sqrt(931) - sqrt(931) - (-1 + 5*sqrt(931))))*-2)**2.\nAnswer: 268800*sqrt(19) + 53632000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2234134 (base 7) to base 5.\nAnswer: -32340221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 203*g = 206*g - 6924000. Round g to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + -23 + 50 + 2.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21309 and 501?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -171c + 3?\nAnswer: -1719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 10 + 2. Suppose l*o - 3452 = 916. What is the hundreds digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (0 + (-4 - 2) - -10).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (44\/(-165))\/((-28)\/(-10))*(-24)\/2\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18781\/4 + -4755. Let j = -60 - m. Let z = 0.5 + 0.5. What is the second smallest value in z, j, -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 + 31 = 5*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 24*z = -21*z + 45, -l - 3*z - 21 = 0 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-160)\/(-20)*(3 + 428\/(-144)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2126 = -3*w - 3*s - 677, -3*s = w - 481. Suppose 4*z = -5*b + 498, 2*b - w = -3*b + 3*z. What is the greatest common factor of 14 and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-140)*(-3192)\/(-1520).\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-52)\/182)\/(2\/(-21)). Suppose t + 90 = 3*t. Calculate the remainder when t is divided by (5 - 7) + 28 - y.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 870*b**3*l**2 - 75*b**3*l - b**2*l wrt l.\nAnswer: 1740*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 AM and 10:38 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22*v - 42*v + 45*v)*(1 + 0 - 3).\nAnswer: 38*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -134162512*k**6 + 91029242*k**2.\nAnswer: -16099501440*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 AM and 10:43 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 3 - 7. Let t be k\/4*16\/32. Factor 1\/2*v**2 + v**3 - t*v + 1\/2 - v**4 + 1\/4*v**5.\nAnswer: (v - 2)*(v - 1)**3*(v + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2986 and 113.\nAnswer: -337418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -3223503 (base 7) to base 5\nAnswer: -100031030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-12)\/3)\/(1\/6). Let k be (x\/(-5))\/(12\/40). Find the second derivative of k*y + 0*y**3 - 9*y - 4*y**3 - y**3 wrt y.\nAnswer: -30*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (23\/(-69))\/((-6)\/(8*-9)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 483*m + 196. Is h(11) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*y - 15*y + 2*y + 10*y.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 737 - 770.3. Let p = 33.2863 + i. What is p rounded to three dps?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20964626147 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2167 or -2166?\nAnswer: -2167","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 1 + q - 1. Let o(m) be the third derivative of 0*m**3 + 0*m**4 + 0*m + 38*m**2 - 1\/30*m**5 + 0. Give v(o(g)).\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j**4 + 0*j**4 + j**4)*(2 - 2 + j) - j + j + j**5 - 2*j**5 - 6*j**5 - 9*j**5 + (3*j**4 + 0*j**2 + 0*j**2)*(j - 3*j + j).\nAnswer: -18*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - -4 - (-18 + -7) - (-8 + -25 + 34)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 338, -2, 76.\nAnswer: -2, 76, 338","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 42261 - 42263. Which is the closest to 1? (a) 299 (b) -3\/2 (c) n (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -68959, -69006, -69055, -69112, -69183, -69274?\n\"Answer: -s**3 + 5*s**2 - 55*s - 68908","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-29754)\/(-2088)*-3*(-24)\/(-27).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15983, 31970, 47957, 63944, 79931?\nAnswer: 95918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -7) + (-1 - -2) + 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 9 = 3*w, -15 = -w - 4*w - 2*r. Suppose 5*v = w*v. What is the second biggest value in v, -0.5, -3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -105782, -105780, -105776, -105770?\nAnswer: -105762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -37555*-1\nAnswer: 37555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 + 36 - (9 + 1) - 32 - -6.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n = -3*n - 9. Let s(k) be the second derivative of -6*k**3 + 3*k - 2*k**n + 7*k**3. Let d(m) = -2*m. What is s(d(b))?\nAnswer: 12*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -819 - -1137. What is the greatest common factor of y and 265?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = 3*q + 72, 62943*x + 2*q + 117 = 62938*x for x.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 - (-7 + 2))\/1. Suppose 0 = h*b + 5 + 19. Is 0 + (-3)\/b*10 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3634623, -7268824, -10903025, -14537226?\n\"Answer: -3634201*z - 422","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 - 32 = -8*z. Let l(j) = -j**3 + 8*j**2 - 8*j - 3. What is l(z)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*t**3 + t**3 - 3*t + 6*t + 7*t to r*t + i*t**3 + s + m*t**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1440 at least as big as 2877\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 43 + -50. Let f(o) = -o**2 - 3*o - 8. Let g be f(i). Let d = -29 - g. What is the remainder when 26 is divided by d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -128*c*m**3*n + 546*c*m**3 - m**3*n + 2*m**3 - 67*n + 108 wrt c.\nAnswer: -128*m**3*n + 546*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 + 19. Let v(b) = q - 4*b + 3*b + 4*b. Let k(x) = -3*x - 5. Determine -5*k(m) - 4*v(m).\nAnswer: 3*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -174 + 262. Suppose 25*q - 27*q = -y. What are the prime factors of q?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n + 18. Let v(x) = -7128*x - 1728. What is -96*d(p) - v(p)?\nAnswer: 7224*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h + 3. Suppose p + 3*p - 12 = 0. What is the units digit of n(p)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4035\/155666 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of 4*l**5\/15 + l**4\/24 + 5*l**2. Let k be s(-1). What is the common denominator of (-65)\/(-104)*(-298)\/k and 61\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - 23 - (-25 - (-7 + 8))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 to the power of 1\/2, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13810544 divided by -1048.\nAnswer: 13178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 19, 1, 0, -25, -550.\nAnswer: -550, -25, -5, 0, 1, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1022400 and 23256?\nAnswer: 330235200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -293 and 0.026.\nAnswer: -7.618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000048979 to 7 dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -y**5 + 27380*y**3 - 15491*y - 1.\nAnswer: -20*y**3 + 164280*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 334953091?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, o: 1, v: 3}. Give prob of picking 1 u and 3 v.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = -4*q + 3520 - 3555, 0 = 4*q + 5*m + 5 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 111\/299992 and -71\/520.\nAnswer: 19499480","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63) + (sqrt(378) + 2*sqrt(378))\/sqrt(6) + sqrt(630)\/(sqrt(50)\/sqrt(5) + sqrt(10)))\/((sqrt(72) + (4*sqrt(72) - sqrt(72))*6 - sqrt(72))\/sqrt(8)).\nAnswer: sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -725 + 727. What is the fourth biggest value in -5, p, -0.5, -5\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109 is divided by -6*(196\/(-78) - 2\/13)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 414915 and 10149.\nAnswer: 597","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1008 and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 - 5 = 3*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 216 divide 134568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -159866 times -0.1\nAnswer: 15986.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, -5, 2, 17, 99 in ascending order.\nAnswer: -5, -3, 0, 2, 17, 99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -10 - (3 - -1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of 0*q**3 + 1\/2*q**4 - 13*q**2 + 0*q + 0. Let m be u(1). Which is smaller: 13 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 157401989 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 10724630?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 188, -19, -614, -1801, -3784, -6767, -10954?\n\"Answer: -34*d**3 + 10*d**2 + d + 211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-10)\/(-45) + (-46)\/(-36). Let z be (-2)\/(-7) - 48\/(-28). What is the nearest to 0 in c, z, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, u: 10, b: 8}. What is prob of picking 2 u and 1 b?\nAnswer: 120\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 791\/6 + -2830\/21. Let x = -11611 - -243748\/21. Calculate the common denominator of d and x.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -9772, -9759, -9744, -9727, -9708, -9687?\n\"Answer: u**2 + 10*u - 9783","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -4. Let w(x) be the second derivative of -5*x + 5\/2*x**2 + 1\/6*x**3 + 0. Let a(n) = -4*h(n) - 3*w(n). Calculate a(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 839051879 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -825 + 828. What is the nearest to -16\/7 in 0.3, t, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -31 in 0.3, 145, 6, -2\/7, -85, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -99 - (-2178 - -2163)\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-571)\/(1*(4 - 5)). Suppose -p = -4*y + 29. Let r be y\/(-4)*(-745600)\/(-12). Round r to the nearest 100000.\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -4630*v - 41671. Calculate o(-9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 5*x = -13660, -4*s - x - 2588 = -13498. Does 4 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -4*g**3 + 10 - 3 + 6*g**3. Let b(s) = s**3 + 4. Suppose -5*v = 3*x, 0 = -2*x - 5*v + 29 - 24. Give x*b(f) + 3*l(f).\nAnswer: f**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -27.4 * -5791\nAnswer: 158673.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 16 = -5*s, 5*s = 3*s + 5*h + 2 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + -3. Let g = 10542.3 - 10542. Which is the nearest to -3? (a) l (b) 4 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2430512 + 1645422 - 3044768 = -157*w. Does 173 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -2\/117 (b) -131\/14 (c) 2\/3 (d) -4 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 32 = -u - 58, 0 = -2*u - 4 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*p = -34*p + 12. Let i be (-1 + 5)*(-2 - -8). Solve -4*t + 2*a + 22 = 0, -p = 4*t - a - i for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 287472938 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -3*p - 43. Let f be c(-16). Let u be (-38)\/(-5) + -8 + 0. Let k be (-32)\/10 + (8 - 5). What is the closest to 6\/7 in f, u, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxoxdohdddddhddbdo. What is prob of picking 1 x, 1 d, and 2 o?\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 663 + -658. Suppose -5*l - 157150012 = -3*c, z*c = -18*l + 19*l + 31430020. Round l to the nearest one million.\nAnswer: -31000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 47 - 44. Let v(k) = 40*k**3 - 115*k**2 + 65*k - 10. Let c(m) = -13*m**3 + 38*m**2 - 21*m + 3. Let n(p) = i*v(p) + 10*c(p). Factor n(h).\nAnswer: -5*h*(h - 3)*(2*h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 13319242 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 735 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*n - 11*n**4 + 5*n**4 + 0*n - 2*n wrt n.\nAnswer: -72*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 188036670123\/74009281060 + 27\/7962268. Let t be -3 - ((-7617)\/(-2535))\/(-1). Let o = l + t. Calculate the common denominator of o and -31\/3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from spojimo. What is prob of picking 1 j, 1 s, 1 o, and 1 i?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -194*g**2 + 5. Let s(i) = -2*i**2 + 5. Let n(w) = 3*f(w) - 3*s(w). Let a(p) = -5*p**2. What is n(a(u))?\nAnswer: -14400*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 5*d + 106 + 121 = 0, -2*d = 2*c - 224. List the prime factors of c.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (5838\/(-70))\/(1*3\/(-10)). Let y = q - 1940\/7. Determine r so that 4\/7*r**3 - 2*r**2 + y*r + 0 = 0.\nAnswer: 0, 1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 3 + 15. Suppose l*s - s - 75 = 0. Calculate the remainder when 104 is divided by s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.1551 - -0.5551. Which is the third biggest value? (a) 2 (b) w (c) 4\/7 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -100 - 176. Let n = -1 + q. Calculate the greatest common factor of n and 102.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1\/13086 + -6545\/26172. Which is the second biggest value? (a) -0.22 (b) 1 (c) 4\/5 (d) -1 (e) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 + 6*h**2 - 9*h - 11. Let n be i(-7). Suppose -b + 5*b + n*s = 70, 97 = 5*b - s. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5702 + 11143. What is the thousands digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 PM and 5:57 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87*z**2 + 54171022*z - 54171022*z - 49*z**2.\nAnswer: 38*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -260\/3 + 3362\/39. Let j = -0.0706 - 1.9294. Sort 0, j, v, -1\/4 in decreasing order.\nAnswer: 0, -1\/4, v, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15250 divided by -3050\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 15 = 78. Let m = 65 - w. Find the third derivative of v**m + 18*v**5 - 28*v**5 + 20*v**5 wrt v.\nAnswer: 600*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*p + 37016 = 16*p. Let o(g) = 2*g**2 - g**2 + p - 1322. Let q(d) = -20*d**2. Determine o(q(x)).\nAnswer: 400*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-3 - -5) + -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l + 5*j = 98755, -2*j = l - 3*j - 12333. Is l a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4011?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -704, -976, -800, -176, 896, 2416, 4384?\nAnswer: 6800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 71 = 371. Let g = -895 - -919. What is the highest common factor of g and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1286?\nAnswer: 2, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 443384 and 2432?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 23067.81 months?\nAnswer: 192.23175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 347845779?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 867*w - 1757*w + 864*w.\nAnswer: -26*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ms when two letters picked without replacement from suumoouossr.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(5 + -2 + sqrt(76)))**2.\nAnswer: 432*sqrt(19) + 3060","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 564 and 263811?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3307.195 millilitres in litres?\nAnswer: 3.307195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*d**3*r**3 - 31*d**3*r - 2*d**3 + 2*d*r**3 - 176*d*r wrt d.\nAnswer: -18*d*r**3 - 186*d*r - 12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 74 - 62. Suppose -j = -5*j - a. Let v be -1 + 0 - -6 - 1. Put 5, 2, v, j in descending order.\nAnswer: 5, v, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1105\/(-35) + (5 - -3) + 590\/(-70)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21 + 21. Is -1511*(-1 + (h\/(-3))\/(-2)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3254 - -4?\nAnswer: -3250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 72211, 144391, 216567, 288745, 360931, 433131, 505351, 577597?\n\"Answer: x**3 - 8*x**2 + 72197*x + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9686077721 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of -u**7\/15 + 2*u**3 - 2*u**2 - 10*u. Let i(p) be the first derivative of x(p). What is the derivative of i(o) wrt o?\nAnswer: -56*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*m**4\/11 + 10378*m**3\/11 - 25380*m**2 + 2230848*m\/11 - 4459968\/11 = 0. Calculate m.\nAnswer: 3, 12, 5162","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 - 7.88. Let x = 0.38 + o. What is the second smallest value in x, -4, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4669742?\nAnswer: 2, 7, 11, 30323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16535?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**2 + 17*u - 6. Let p be k(14). Suppose p = 11*v - 9*v. Calculate the highest common factor of v and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 349 + 314. What are the prime factors of i?\nAnswer: 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15006 and 2829.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/25)\/(735\/(-350))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 9347 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6\/23, 0, 2\/9, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the second derivative of 2*h - 5\/3*h**3 - 3\/4*h**4 - 6*h**2 + 0 - 1\/20*h**5. Let c be d(-8). What is the nearest to -1 in -3\/7, c, 2\/5?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1186156853 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 3 (b) -3 (c) 47.7 (d) 4 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -788577 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3673598 is divided by 612243?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c**(2\/5)*c**(-3)*(c*(c*c*c*(c\/(c**(-4)*c))\/c*c*c)\/c)\/((c\/(c*c**(-2)))\/c))\/(c**0\/(c\/c**4))**(24\/5) assuming c is positive.\nAnswer: c**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cnsk when four letters picked without replacement from cnseennknnbcb.\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 13621 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (6 + 9 - (28 + -15 + (-11 - 1)))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of v**5\/20 + 5*v**4\/12 - 2*v**3\/3 + 6*v**2 - 56*v. Determine a(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.314 rounded to 0 decimal places?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -40 + 44. Let q = 0.344 + -0.444. Which is the fourth smallest value? (a) 1\/5 (b) 2\/3 (c) z (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 248 - -26. Let x = -150 + s. Suppose x = f + 2*f + 4*y, -10 = 2*y. Calculate the remainder when f is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -626 + 650 = -8*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3875? (a) 1\/4 (b) -1\/7 (c) -406\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 47*f - 192 - 701 for f.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0551 and -132069.\nAnswer: -7277.0019","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 1 = 7. Let i = z + 7. Is i a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -2*r + 2. Let x(y) = 8*y - 9. Calculate 9*q(l) + 2*x(l).\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1281092840 to the power of 1\/2, to the nearest integer?\nAnswer: 35792","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -11 - ((-12)\/(-4) - 2). Is v < -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2049606992?\nAnswer: 2, 128100437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 21 = 2*v, 178*v = 181*v - n - 4 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 24*p + 2059. Determine v(-86).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 - -8125.273.\nAnswer: 8125.273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8095924 is divided by 4047835?\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 25*q. Let v(r) = -21 + 11 + 10 + 2*r. Give v(m(t)).\nAnswer: 50*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 - 2*t**2 + 0*t**2. Let r(m) be the third derivative of 1\/12*m**4 + 0 + 0*m - m**2 + 0*m**3. Determine u(r(j)).\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 219 divided by -100?\nAnswer: -219\/100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i - 40. Let l be n(-42). Suppose -1975 = -4*m - 5*q, m - l*q = -2*m + 1487. Does 15 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9374422 to the power of 1\/6, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, 3, -3 in ascending order.\nAnswer: -3, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14273 + 20410. Is n at most as big as 6137?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a hour in minutes?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-528)\/300)\/(2\/(-15)). Let l be (-3531)\/(-280) + 435\/609. Let k = l - s. What is the closest to 8 in 1\/11, 0, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4978 and 262.\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 3*m**3 + 33*m**2 - 120*m + 84 = 0.\nAnswer: -14, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + -10?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 216e (base 16) in base 5?\nAnswer: 233213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1132*f - 1974*f + 1437*f - 36*f**3 + 43*f**3.\nAnswer: 7*f**3 + 595*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 5, -4, -4\/7, -1, -0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*n - 7*n + 4*n - n.\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4\/7 or 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11621932.\nAnswer: 2, 7, 415069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6695 + 6720. Solve 0 = j, -12*k + 17*k - 3*j = v for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4 and -0.02507657?\nAnswer: 3.97492343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 212 divide 40131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5656132 rounded to 3 decimal places?\nAnswer: -0.566","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 3*s - 18 = 0. Let r = 21 - s. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -331*z + 1273 = 2266 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and -121.8896.\nAnswer: -121.8896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are 13045007 and 13045010 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -5*q**3 - 2*q**2 + 4*q + 102. Let d(k) = -6*k**3 - 3*k**2 + 5*k + 123. Calculate -4*d(n) + 5*x(n).\nAnswer: -n**3 + 2*n**2 + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2*z. Let n(q) = -3*q**2 + 443*q. Determine s(n(g)).\nAnswer: -6*g**2 + 886*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.78 + 1.79. Put -0.5, -3, -5\/3, c in increasing order.\nAnswer: -3, -5\/3, -0.5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = 2*j + j - 18, 4*z = j - 6 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 - 56*x**2 + 455*x + 85. Calculate l(46).\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of -t**4\/72 + 13*t**3\/4 + 59*t**2\/6 - 2824*t. Factor l(m).\nAnswer: -(m - 118)*(m + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -2*h + 1286, -403 = -4*g - h + 1320. Does 48 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3805 = -145*z + 575 - 755. Solve -y + 5*s - z = 9*s, 5*y = -s - 30 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-6)\/(a*a\/(a*a\/a**(-3\/11))))\/((a\/(a**(-8)\/a))\/a**(-3)))**(11\/5))**(-3\/11) assuming a is positive.\nAnswer: a**(618\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2154818?\nAnswer: 2, 17, 63377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j + n - 540, -j + 2*j - 4*n - 118 = 0. Is j a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 157 + -150. Suppose 0 = -3*l + 22 - c, b = l + 10. Suppose 0 = -2*r - 3 + 17. Solve -r*k + 2*k + b = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 89 + -85. Suppose -r + p*r = -2*g + 26, 73 = 4*r - 5*g. Suppose 2*o + 5*l = 57 + r, 0 = -2*o - l + 57. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 28 = -4*z, h = -5*z + 4*h - 25. Let r = z + -1. What is the common denominator of 93\/10 and (-2)\/12*9\/r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1560 + 1560 - 24835914579*h**2 + 24835914575*h**2.\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*t - 1992 = 235*t for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f**(-2\/3))**(2\/37))**(-2\/71))**5)**(5\/9) assuming f is positive.\nAnswer: f**(200\/70929)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lqta when four letters picked without replacement from ltqqqlqqatqltl?\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19, 61, 157, 331, 607, 1009, 1561, 2287?\nAnswer: 3211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 32 - 37. Let o be 41 + 0 + (g - -1). Suppose -5*w = -4*h - 108, 4*w + 2*h - 65 = o. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9.02 - 0.02. Let p = m - -2. What is the closest to 1\/4 in 5, p, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 29658256 from 0.2.\nAnswer: -29658255.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-2\/19)*k**20 assuming k is positive.\nAnswer: k**(378\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -359464, -718916, -1078346, -1437742, -1797092, -2156384?\nAnswer: -2515606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 + 7*g**2 + 2*g - 11. Let l be ((-88)\/12)\/((-2)\/99*-3). Let p = -114 - l. Let b be o(p). Solve 2*q + b - 8 = -5*c, 3*c + q - 3 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 + 33*j**2 + 3*j - 93. Let w = 6039 - 6006. What is i(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 5*q - 38 = 0, -539*i + 4*q - 13 = -544*i. Let r(k) = k + 9. Let z be r(-7). Let t = 2 - z. Put t, i, 4 in descending order.\nAnswer: 4, t, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -9*w - 2*w + 15*w - 16. Let i(d) = d - 5. Determine -10*i(q) + 3*x(q).\nAnswer: 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38 is divided by 16?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 688014138?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2*f**3 - 28*f**2 + 81*f - 7. What is o(10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -34227, -29333, -24439?\n\"Answer: 4894*s - 39121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86 - 80 + 2*d - 6.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/10*3\/24*8.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2035 - -5332?\nAnswer: 11411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -51, -107, -177, -261?\n\"Answer: -7*j**2 - 35*j - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s - 18. Determine r(0).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 112\/13 + 2\/13*x**2 - 114\/13*x.\nAnswer: 2*(x - 56)*(x - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/83671191 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 164304905?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 714730701 to the power of 1\/2, to the nearest integer?\nAnswer: 26734","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = 0, -5*u = -5*n + 11 - 1 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 303*i - 12*i**3 + 10*i**3 + i**3 + 150*i in the form p*i**3 + d*i**2 + c*i + y and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -427*u**2 + 17*u + 1457. Let h(d) = 143*d**2 - 6*d - 486. Let m(w) = -17*h(w) - 6*t(w). Differentiate m(z) with respect to z.\nAnswer: 262*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 3327763 to the power of 1\/2, to the nearest integer?\nAnswer: 1824","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -22*q**2. Let k(m) = -24*m**2 - 24*m**2 + 49*m**2. Determine k(c(n)).\nAnswer: 484*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 185 - -30213?\nAnswer: 30398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h + 4. Let g(k) = k + 7. Let o be g(-8). Let m = -4 - o. Let j = m + 3. Calculate b(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 0.3, -0.6, -0.3, 3, 1.233?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of a**6 - 16215*a**4 - 2780*a**3*c + 3*a**2*c + 14*a - 208491*c wrt a?\nAnswer: 120*a**3 - 389160*a - 16680*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p**3 - 4*p**3 + 0*p**3 + (-3*p**2 + p**2 + p**2)*(-2*p + p - p) + (-2*p - 3*p + 3*p)*(33 - 33 - 8*p**2) + 0*p + 2*p**3 + 0*p + p + 2*p**3 - p.\nAnswer: 18*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2208223*j**3 + 9810883*j wrt j?\nAnswer: -13249338*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 861 * 0.6735\nAnswer: 579.8835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 + 9. Let j be (5\/2)\/(-5)*f. Suppose j*c - 5*c = -105. Calculate the greatest common factor of 147 and c.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 13\/5 (b) -0.4 (c) 1.7 (d) -0.17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -7439, -14877, -22315, -29753?\n\"Answer: -7438*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 3\/4 (b) -3 (c) -4 (d) -0.5 (e) -1\/91\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 31 - 11. Let w = c + -17. List the prime factors of (-3 + -9 - 1)*-1*w.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128.39781 months in years?\nAnswer: 10.6998175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-147)\/(-49))\/((-3)\/(-6)). Suppose -4 + p = -2*o. Let x be 12\/(1*2\/(-4)). Which is the nearest to 0.1? (a) 2 (b) o (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and -216.5 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10374 by 133.\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1193862 is divided by 29117?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32, 18, -6, -40, -84, -138, -202?\nAnswer: -276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80)*-1)**2 + sqrt(5) - sqrt(5))*4.\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*q**2 + 104*q**2 - 33*q**2 - 36*q**2 - 755*q**3.\nAnswer: -755*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3068 - -2108. Round w to the nearest 100.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -39 - -39. Let q = 1670\/3 - 550. Let x = q + -146\/21. Which is smaller: i or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 PM and 3:56 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -2\/7 (c) 0 (d) 3 (e) -10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 152*r + 644. Let k be z(-5). What is the smallest value in k, 9, -2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -212 + 3?\nAnswer: -205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of -p**2\/2 + 2. Let c be u(6). Calculate the lowest common multiple of (2\/c)\/((-1)\/6) and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + 24 + -8 - 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*i + 10 = 6*i - 9*i - t, 0 = -33*i + 5*t - 46 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 752708?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -107.1 - -19.1. Let n = -87.999961 - q. What is n rounded to five decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-one halves of a litre?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 411600.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5446 + 5446 - 246*l**2.\nAnswer: -246*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-v + 1 - 1 + (2 - 2 - 2*v)*(0 + 1 - 2))*(-7 + 3 + 1) as a + s*v and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0678438478 rounded to five dps?\nAnswer: 0.06784","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 588?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*z - z + 4*z)*(-5*z**2 + 2*z**2 - 2*z**2) + 4 - 4 + 4*z**3)*(-2 + 0 + 0)*(31 - 19 - 22).\nAnswer: -220*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (79\/(3555\/621))\/((12\/(-5))\/4)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 432*i**5 - i**4 - 89*i**3 + 108670*i**2 wrt i?\nAnswer: 25920*i**2 - 24*i - 534","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/70 and -169\/42.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -r**5\/2 - 44*r**4 + 235*r**3\/2 + 2519*r**2 + 3888*r - 6480 = 0. Calculate r.\nAnswer: -90, -4, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*o = 27*o + 322 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*d**2 - 55*d**2 - 3*d + 6*d**2 + 5*d + 85*d**2 + 33*d**2.\nAnswer: 95*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 31, 133, 303, 541?\n\"Answer: 34*z**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -651, -1\/22, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 81\/18 + (-1)\/(-2). Suppose -l*c = -c - 32. Calculate the remainder when c is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31297 is divided by 15166?\nAnswer: 965","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5*q**3 + 4*q**3 + 2*q**3)*(-q + 3*q - q).\nAnswer: q**4 + 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 32*n**2 + 39*n - 7. Let b be p(-6). Suppose 45*w = -11 + b. Calculate the remainder when 77 is divided by w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1638)\/65)\/((-6531)\/(-27990))\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1077\/2692?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 78\/(-65)*2\/(-6). What is s in 6\/5*s - 2\/5 - 6\/5*s**2 + k*s**3 = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -82547 + 6191141\/75. Is w bigger than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - -3 - ((26 - 11) + (4 - 15)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -75863\/26 - -2918. Is -1 smaller than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 1 - 236 = 5*j, 4*a - 4*j = 476. Let b be (2\/6)\/((-8)\/a). Suppose 0*w - 12 = -3*w. Put w, 0, b in descending order.\nAnswer: w, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24720277?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(3*3\/(-54)). Solve h = -5*h - y for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/3149 and 81\/134.\nAnswer: 6298","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence if when two letters picked without replacement from {i: 5, g: 1, f: 4, w: 5, b: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1158\/(-965) - (-31)\/5. Let b(m) = -3*m + 44. Calculate b(l).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 138517, 138498, 138469, 138430, 138381, 138322?\nAnswer: 138253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(171) + 2*sqrt(171))\/sqrt(9) - (2 + sqrt(76) + (sqrt(76) - sqrt(76)*1)))**2.\nAnswer: 20*sqrt(19) + 479","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-6)\/15 + (-1245266)\/(-115)?\nAnswer: 2, 2707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - -11. Let p(k) = 13*k**2 + 5*k - 3 - 5*k - 14*k**2 + 7*k. Determine p(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19813*c - 2 + 2.\nAnswer: -19813*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -5 - 19. Let z = -79 + 81. What is the third derivative of -7*i**4 + 7*i**z - 7*i**2 + h*i**2 wrt i?\nAnswer: -168*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61059 to the power of 1\/3, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 15891871 to the power of 1\/3, to the nearest integer?\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18737 - -18732. What is the nearest to 0.9 in -7, -1\/9, b?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/6)\/(12\/36).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 37644?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1044?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2150270 = 100*x - 16*x + 4162078. What is x rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/6? (a) 0.1 (b) 0.05 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14 - -14. Suppose 9 = -3*f, 4*s - 3*s - 3*f + 573 = h. List the prime factors of (s\/9)\/((-2)\/3).\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/5857, 0, -0.159?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 399\/9910 >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -66 times 0.1?\nAnswer: -6.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 18 in -4, -0.3133, -7?\nAnswer: -0.3133","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -7009034 times -0.4\nAnswer: 2803613.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 4747?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/5, -4, 3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 4.851424 meters?\nAnswer: 4851424","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5967399329 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = 3*z + 11012 - 11047, -2*g + z = -5 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*m**4 - 3*m**3 - 12*m**2 + 1129085 - 1129085 - 3*m to the form q*m**3 + v*m**4 + c + f*m**2 + p*m and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((-2 + sqrt(147) - sqrt(147))**2 + sqrt(147)) + -3.\nAnswer: 17 + 35*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 5*s + 6 = 0, 3*h = s - 4*s - 6 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 20*h + 9. Let q(y) = 19*y + 8. What is 6*g(w) - 7*q(w)?\nAnswer: -13*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of -p**5\/24 - 5*p**4\/24 + 7*p**3\/6 + 4*p. Let s(a) be the second derivative of i(a). What is the units digit of s(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -39607.2 - -46722.104. Let c = 7146 - m. Let f = 31 - c. What is f rounded to two decimal places?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 4*u**3 + 6*u**2 + u - 5. Let p(o) = -5*o**3 - 7*o**2 - o + 6. Let c be (3\/(-2))\/(0 + 18\/(-60)). Calculate c*p(r) + 6*f(r).\nAnswer: -r**3 + r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -145\/12 and (31\/(-12) - 2)\/(-3)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 2*k + 9. Let c be (-3)\/6*(1 + -1). Let i be r(c). Let v = i + 4. Calculate the highest common factor of v and 117.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 106 - 2285?\nAnswer: -2178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1000, -993, -976, -943, -888, -805, -688, -531?\n\"Answer: l**3 - l**2 + 3*l - 1003","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -121, -249, -377, -505, -633, -761?\nAnswer: -889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2979 to the power of 1\/2, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 145.78784 (b) 0.2 (c) -5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a centimeter in millimeters?\nAnswer: 68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 b, and 1 k when three letters picked without replacement from {b: 3, n: 3, s: 2, l: 2, k: 3, u: 1}.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l**3\/7 + 33393*l**2\/7 + 66790*l\/7 = 0. Calculate l.\nAnswer: -2, 0, 33395","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3954 is divided by 2418?\nAnswer: 1536","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 - 74*x - 375. Give w(-6).\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 2*s + 8 = 0, -2*s + 8 = -0*n + 3*n. Let g = 0.3 - 3.3. What is the nearest to n in 2, g, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 2*u**2 - 17*u + 2. Let x(d) = 2*d**2 - 16*d + 3. What is -3*a(m) + 2*x(m)?\nAnswer: -2*m**2 + 19*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is e4bf (base 16) in base 3?\nAnswer: 2222022212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the second derivative of -t**4\/12 - 13*t**3\/6 + 8*t**2 + t. Is w(-7) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 - p**2 + 3*p - 7. Let a(c) = -5*c**3 + 4*c**2 - 13*c + 29. Determine 2*a(w) + 9*o(w).\nAnswer: -w**3 - w**2 + w - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 182 and 104.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*j**4\/9 - 9590*j**3\/9 + 96534*j**2 - 16240522*j\/9 - 17118920\/9 = 0. Calculate j.\nAnswer: -1, 28, 65, 4703","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 252013, 2016123, 6804439, 16129063, 31502097, 54435643, 86441803?\n\"Answer: 252017*g**3 + g**2 - 12*g + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 8*f - 27. Let p be g(6). Suppose h - p = -22. Is ((h + 2)*1)\/(4\/160) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10014 and 197376.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*s = -24*s - 10 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 78 and 52208.\nAnswer: 156624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -4, -0.3, 7\/2?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 3*o**5 + 9144*o**4 - 509646*o**3 + 7286760*o**2 - 6786261*o = 0.\nAnswer: -3103, 0, 1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 7:24 PM?\nAnswer: 7:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-6)*(21\/(-35))\/(6\/(-240)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1809 - 1801. Solve 2*w = 10*w + b for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -3. Let y be 2\/(-12)*(-3 - -5). Sort m, -5, y.\nAnswer: -5, y, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -27204\/5915 - 1\/1183. Let f = -539\/115 - c. Which is smaller: 1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2222123 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -32*l + 37*l + 160490115. Let g be (4 + l\/(-15))*5. Suppose 2*a = w + g + 19700637, 0 = -4*a + 3*w + 60799994. Round a to the nearest 1000000.\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**2 - f - 1. Suppose -5*l - h = 2, -2*h - 7 = -2*l - 5*h. Let d be b(l). Is 1\/(-2)*(-61 - d) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 246 divide 171216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -352 - -2117\/6. Let z(k) be the first derivative of 0*k + b*k**6 - 3 + 5\/2*k**2 + 0*k**3 - 5\/2*k**4 + 0*k**5. Factor z(d).\nAnswer: 5*d*(d - 1)**2*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11300225599 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 9*d**2 - 13*d + 18. Let b(r) = 4*r**2 - 7*r + 9. Let j be 6\/(5*(-8)\/(-20)). Let t(p) = j*i(p) - 7*b(p). Let z be t(7). Solve -2*y - z = y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 11) to base 10.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*f*l*y - 14*f*y**4 - 2*l**2*y**2 + 7*l**2*y - 2*l**2 - y**4 - 2*y wrt y?\nAnswer: -168*f*y**2 - 4*l**2 - 12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**3\/2 - 3987*q**2\/2 - 14040*q + 16032.\nAnswer: 3*(q - 1336)*(q - 1)*(q + 8)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyy when three letters picked without replacement from yyy?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of (-972868)\/(-477) + 8\/18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 66 and 44?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 369 by -123.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 - 17*f**2 - 22*f - 155. What is the hundreds digit of z(-22)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1201 + 2011?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9870 and 240?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 3*i - 12 = 0, -619*q - 2*i = -624*q - 5 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 16*w**2. Let y be n(-1). Let p(a) = 13*a**2 + 3*a + 2. Let g be p(3). Calculate the highest common divisor of g and y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 + -9 - 0\/(-2). Let s be 29 - (-19 - 5260\/(-110)). Which is the nearest to 23? (a) -0.6 (b) s (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + -85?\nAnswer: -8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g**3 + 3*g**3 - g**3)*(-1 + 1 - 1) - 2*g**3 + 1086 - 370019*g**2 + 370019*g**2.\nAnswer: -g**3 + 1086","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Is 43931795 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3883 - -3883. Suppose -3*v - 15 = -4*v. Solve m = -2*o + 5*o - v for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -2*o**2 + 31*o - 11. What is r(21)?\nAnswer: -242","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -28919 - -28899. What is the nearest to 0.2 in 5.5, z, -2\/25?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 406, 798, 1184, 1564?\n\"Answer: -3*x**2 + 401*x + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + w + 12 = -6, -4 = -2*c - 2*w. Suppose 5*p = 69 - 14. Suppose 2*k - 5*k = 5*u - p, -u - 9 = -c*k. Solve k + 3 = -x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16586189149 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 - 2*h - 14 + 9.\nAnswer: -2*h - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, i: 1, j: 1, n: 2, c: 1, b: 1}. What is prob of picking 1 n and 1 j?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-2)\/y*y*y**(9\/7) assuming y is positive.\nAnswer: y**(-5\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -175, -537, -1141, -1987, -3075, -4405?\nAnswer: -5977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = -267*r + 269*r + 7*k - 50, -3*r = 3*k - 87 for r.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 9*b**3 + b**3 + 9 + 17.\nAnswer: -8*b**3 + 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -747 + -0.3?\nAnswer: -747.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.071 - 2.929. Which is the closest to 2? (a) -0.1 (b) y (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3300\/112)\/(-15) - 35\/(-28). What is the third smallest value in 0.01, 1, m, -4?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29 + 143*i - 2 + 18 - 62 - 497*i.\nAnswer: -354*i - 75","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/7? (a) 14.7 (b) -1 (c) 1\/5 (d) -0.1 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 135 + 205. Is i a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 33 and 1485?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1366.6 - 1173. Round j to the nearest ten.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -100414 - -4?\nAnswer: -100410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -48227151 divided by -3\nAnswer: 16075717","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 - 452*g - 6. Let x(n) = 3*n**2 - 904*n - 10. Let f(w) = -5*i(w) + 3*x(w). Factor f(b).\nAnswer: 4*b*(b - 113)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/10 (b) -0.5 (c) 0.3 (d) 0.063 (e) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -77466*j**6 - 679*j**2 + 44*j.\nAnswer: -9295920*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -45\/1858 + 3666239\/16722. Let w = z + -219. Is w > -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + -3 - sqrt(3))*-1 + (sqrt(3) - (3*sqrt(432))**2).\nAnswer: -3885 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - -13) + -14 + 2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 0*l - 10 = 0. List the prime factors of l.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -15, 5, -2\/3, 5\/13, 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -3 (b) -2\/11 (c) -2 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 927095325 and 975?\nAnswer: 975","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 42 + 114. Let d be (230\/(-1104))\/(10\/(-18)) + 186\/16. Calculate the highest common factor of z and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 40*c**2 - 6*c + 6. Let d(t) = 360*t**2 - 55*t + 55. Give -6*d(r) + 55*x(r).\nAnswer: 40*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -22449 greater than -22310?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -26, -68, -190, -416, -770, -1276?\n\"Answer: -4*c**3 - 16*c**2 + 34*c - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4\/19, -919, 2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -188 in 2, -66, 3, -2, 8?\nAnswer: -66","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 5:26 PM?\nAnswer: 6:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 7680091*-10.1\nAnswer: -77568919.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -2 + 5*b + 2*b - 4 - b**2. Let u = -56 - -79. Let i = u + -19. Give g(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6763?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**2 + 34*m - 34*m. Let s(n) = -32*n**2. What is z(s(i))?\nAnswer: -1024*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1299 is divided by 45.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of -z**6\/40 + z**5\/60 - z**3\/6 + 2*z**2 - 5*z + 77. Let v(d) be the second derivative of p(d). Calculate v(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2427*g + 2429*g - 566. What is the remainder when g is divided by 59?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31129 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 6 (b) -2\/17 (c) -3 (d) 248 (e) -3\/5 (f) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 2)*(2*m + 0*m - m)*(-16 - 4 + 30).\nAnswer: -30*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -18 + 19 - (-2 - -1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 684 (base 9) to base 8\nAnswer: 1062","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 74\/7*k - 38\/7 - 2\/7*k**3 - 34\/7*k**2.\nAnswer: -2*(k - 1)**2*(k + 19)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 + 8*f**2 - 9*f + 7. Let g be u(-9). Suppose -2*t + g = -5*v + 20, -4*t - 3*v = -13. What is the units digit of -2 + t - -1*11?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.023 times 0.5\nAnswer: 0.0115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llllfnfflnfnl. Give prob of picking 2 l and 1 n.\nAnswer: 45\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -75? (a) -5 (b) 177\/2 (c) -8\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 76 + -4?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 (base 9) in base 2?\nAnswer: 11111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/35, -0.1, -3\/5, 5, 0.2 in descending order.\nAnswer: 5, 0.2, 1\/35, -0.1, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(2\/(-15))*(-4)\/(-6). Suppose v*y + 5*f = -15, -10*f + 7*f + 9 = 0. Let b(i) = i**2 - 7. Give b(y).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 369068*u + 368909*u - 737865*u = -13888 for u.\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 24*j**2 - 3*j - 8. Give z(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 224\/380 + (-956)\/(-4541)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1146*b**4 + 3*b - 503.\nAnswer: 13752*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 421591 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -244576670 divided by -48915334.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-34 - -35) + 3 + (-2 - -1). Solve -i = -6*l + 3*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32 divided by 124\nAnswer: -8\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 30 + -91\/3. Which is the closest to 1? (a) -2 (b) 3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-1\/5)*b*b**13*b**(-2\/67)*b*b**(-2\/7)\/b assuming b is positive.\nAnswer: b**(31621\/2345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 69197 rounded to the nearest 1000?\nAnswer: 69000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1807601, 1807602, 1807603, 1807604?\nAnswer: 1807605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from svqvumem. What is prob of sequence eum?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m = -361 - 11. Suppose -m = -8*f + 50. Find the common denominator of f and ((-2)\/(-56))\/(4\/(-408)).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -8211 - -2?\nAnswer: -8208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1001010 (base 2) to base 3\nAnswer: -2202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -658051, -658053, -658053, -658051, -658047, -658041, -658033?\nAnswer: -658023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/5 (b) -0.05 (c) -6.1 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/5*10\/(-4). Suppose -c*o + 0*r - 3 = -r, -2*o + 9 = 3*r. Solve -4*q = -o*q - 4 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, 33, 15.\nAnswer: -5, 4, 15, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -42 - -67. Suppose 2*y + 2*c = c - 13, -5*c - k = 0. Let h(d) = d**2 + d - 4. List the prime factors of h(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3082946 a multiple of 293?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 28.3 - 312.3. Let x = -309 - l. What is the third smallest value in x, 2, 6, -0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26539 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j = 3*j - 20. Let b(d) = 5*d + 7 - 2*d + 11*d**2 - 12*d. Let s(u) = -5*u**2 - 4*u + 20*u**2 + 3 - 3*u**2 - 3*u**2 - 4*u**2. Determine j*b(c) + 9*s(c).\nAnswer: c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -27 - -33. Factor 0*r - 59*r**2 - 55*r + 10 - o*r**2.\nAnswer: -5*(r + 1)*(13*r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - 209?\nAnswer: -208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(5 + -1*sqrt(2299) + -2*(2*sqrt(2299) - sqrt(2299)) + sqrt(2299)).\nAnswer: -88*sqrt(19) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1546 - 1525. What is the smallest value in -4, 1\/6, w, 5, -2\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zoo when three letters picked without replacement from {o: 2, f: 2, l: 1, z: 2, n: 4, k: 1}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2130 + 301330333?\nAnswer: 301333123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 4 - (-40 - -25 - (-11 + -3))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 4 = -0, 2*i - w + 2 = 0. Let p be 1 - (1067\/726 - (-1)\/i). Let g be (2 - 1) + -1 + 0. Which is the smallest value? (a) g (b) 4 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, h: 3, n: 5, y: 2, c: 6}. Give prob of sequence hyyu.\nAnswer: 1\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, t: 1, n: 2, d: 1, z: 8, i: 3}. Give prob of picking 1 z and 1 c.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -6*r**2 - 14*r + 21. Let v be k(5). Suppose 4*c - 1117 = -4*z + 171, 0 = -3*c + z + 966. Let y = v + c. List the prime factors of y.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -2, -1, 49, -3, -27.\nAnswer: -27, -3, -2, -1, 6, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 7) in base 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 2*b - 80176, m = -3*b - 3*m + 120265. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/5, -43, -2\/181?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-89*t**2 + 0*t**2 + 3*t**2)*(-1 + 11 - 2)*(-3*t**2 + 2*t**2 + 2*t**2).\nAnswer: -688*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -30*z + 16. Let m(q) = -15*q + 9. What is 5*m(x) - 3*p(x)?\nAnswer: 15*x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -13259, -13263, -13269, -13277, -13287?\n\"Answer: -d**2 - d - 13257","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 178*h**2 - 19*h + 107. Is y(10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82432186?\nAnswer: 2, 769, 53597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/9604495 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.62 and -23802.\nAnswer: 38559.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -7*d - 7. Let u(m) = -4*m - 4. Let y(h) = -3*r(h) + 5*u(h). Let p(z) = -7*z - 6. Let o = -158217 + 158223. Let b = 2 + -1. What is b*p(f) + o*y(f)?\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10335 is divided by 157.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/30 - 2\/(-10). Suppose b*z - 4*r = -4*z + 128, -2*z = 4*r - 52. Is z a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 205 is divided by 110?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 times 5600.2?\nAnswer: 1377649.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 368*b + 5. Let h = 9 - 5. Let z be n(h). Suppose 5*q + z = 4077. Round q to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -698 by 3.\nAnswer: -698\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 361898?\nAnswer: 2, 180949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-19*d + 1080 - 8*d - 1060)*((-d + d - d)*(d + 2*d + 0*d) - 2*d - 2*d**2 + 2*d) to o*d**2 + n + w*d + v*d**3 and give o.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*z - 2530440 = -74*z - 68*z. What are the prime factors of z?\nAnswer: 3, 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5359261 is divided by 25642?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*1*sqrt(140))\/(sqrt(252) + (sqrt(252) + 1*sqrt(252) - sqrt(252))) + -3)**2.\nAnswer: 5*sqrt(5) + 449\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j**4 - 124*j**3 = 0 for j.\nAnswer: -31, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 17*u**4 + 91*u**3 + 1194*u**2 - 2137*u - 1347. Let h(i) = -14*i**4 - 93*i**3 - 1194*i**2 + 2136*i + 1348. Let f(j) = -5*h(j) - 4*p(j). Factor f(n).\nAnswer: (n - 2)*(n + 26)**2*(2*n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9502?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -8f7 (base 16) to base 11\nAnswer: -17a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3984 and 400.\nAnswer: 99600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 6 = -3. Let y(n) = -2*n - n**3 + n - 2*n**3 - n**3. What is the units digit of y(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000236195 to 7 decimal places.\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 249 and 487210.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 47 - 47 + 2*p. Let s(i) be the third derivative of 0*i**3 + 0*i - 5\/24*i**4 + 0 + i**2. Calculate s(g(j)).\nAnswer: -10*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 12:12 AM?\nAnswer: 4:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and 2539762.\nAnswer: 507952.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-20) - (-102124)\/440. Suppose 0 = -10*w + 578 + t. Which is greater: 79 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-33) + 32\/66?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 226447.\nAnswer: 13, 17419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23\/54 - -22\/27. Let a(k) be the second derivative of c*k**4 + 3\/10*k**5 + 0 + 2\/9*k**3 + 1\/9*k**6 - 9*k + 1\/63*k**7 + 0*k**2. Factor a(f).\nAnswer: 2*f*(f + 1)**3*(f + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 40936001, 40936003, 40936005, 40936007, 40936009?\n\"Answer: 2*n + 40935999","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 133113008 and 80.\nAnswer: 665565040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -2*f**4 - 7092*f**3 - 6322368*f**2 - 62516480*f = 0.\nAnswer: -1768, -10, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 + (-3 - (-968)\/33).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**2 - r**4 + r**2)*(539 + 4*r - 539 + (-1 - 4 + 3)*(-6*r + 3*r + 4*r) - 2 + r + 2).\nAnswer: -3*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11286 - -10769.9. Let z = 540 + r. What is z rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 15 + 43 = -4*o, -5*o - 24 = k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1361*y + 2522*y + 2200*y)*(y - 2*y + 2*y).\nAnswer: 3361*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 336287 divided by 35?\nAnswer: 48041\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -170 - -174. Suppose o*h + 638 + 1052 = 5*q, 3*h = 0. Does 26 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*t + 15*t = -36 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -5, 3, 2\/1023609?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of -q**8\/504 - q**7\/315 + q**6\/180 + q**5\/90 - q**2 - 2. Let h(o) be the second derivative of l(o). Factor h(c).\nAnswer: -2*c**2*(c - 1)*(c + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 4*c = -2, 2*j + 0*j + 8 = -5*c. Let l = 16 - 4. Suppose -q + 4*v = -l, 3*v = j*v - 6. What is the highest common divisor of 200 and q?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4421 + -730. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22012920 divided by 8\nAnswer: 2751615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1094 - 904 = 32*q + 766 for q.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 497749645 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of i**3\/3 - 2*i**2 - 3*i + 1. Suppose h - 2 = -l + 10, 0 = -5*h + 5*l - 10. Calculate a(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3270 and 1008250?\nAnswer: 1090","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9 and 99?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 97829 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1454 - 1?\nAnswer: -1455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 73 + 2 + (13262 - 13338).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 3*v - 17. Let s be g(5). Let x(l) = -l - 3. Let r be x(-5). Suppose m = -r - 3. Which is the second smallest value? (a) 5\/4 (b) s (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5138994 and 744?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f**2 + 5. Let h(o) = 6 + 0 + 6*o**2 + 8. Let v(y) = -4*h(y) + 11*n(y). Let j be 4\/(-6)*3 + 14 + -11. Determine v(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 13) in base 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.1 - -4. What is the nearest to m in 0.1, 0, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*q - 6*q = -96. Let g = -31 - q. Let o(l) = -8*l. What are the prime factors of o(g)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10.27467 micrograms to kilograms.\nAnswer: 0.00000001027467","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16315 divided by 583.\nAnswer: 16315\/583","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2. Let i(o) = -442*o + 1. Give i(k(r)).\nAnswer: -442*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the third derivative of d**5\/60 + d**3\/6 + 116*d**2. Calculate x(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/(-12))\/(1\/(-2))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*s + 48*s - 170. Solve s = -z + 6*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*w - 19 + 4111 = 0. Which is smaller: 371 or w?\nAnswer: 371","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40)\/3*(-23)\/2*147\/(-1127)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 80029154?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -492, -3827, -12876, -30495, -59540, -102867, -163332?\nAnswer: -243791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of -h**8\/20160 - h**7\/560 + h**5\/10 + h**4\/12 - 70*h**2. Let w(y) be the third derivative of s(y). Factor w(k).\nAnswer: -k*(k + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -r**4 - 11*r**3 + 299*r**2 + 1299*r + 990 = 0.\nAnswer: -22, -3, -1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-4)*r)**(-3\/10)*(r**(-2\/11))**30 assuming r is positive.\nAnswer: r**(-501\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57936 = 32*r + 16*r. Suppose -5*d - r = -22*d. What is the highest common factor of d and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 144 by 32.\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -434, -27, 612, 1471, 2538?\nAnswer: 3801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 548 divide 3426644?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1962 to the power of 1\/2, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 3*u + 39, -3*f = 2*f + 2*u - 93. What is the remainder when f is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 961*k - 1935. Give j(2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bd when two letters picked without replacement from {a: 4, b: 6, m: 3, w: 1, d: 2, f: 2}?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l**2 + l**2 + 0*l**2)*(-1 + 1 - l**3) - 4*l**2 + 4*l**2 - l**5 - 6*l**5 + 22*l**2 - 22*l**2 + l**4 - l**4 + 2*l**5.\nAnswer: -6*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*s**4\/3 - 12268*s**3\/3 - 1903864*s**2\/3 + 3306928*s\/3 + 366656 = 0.\nAnswer: -674, -204, -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.3 - 20.3. Let b = 17.1 + y. Let h(v) = 6*v**2 - 34*v - 110. Let f be h(8). Sort 1\/7, b, f in decreasing order.\nAnswer: f, 1\/7, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/20)\/(3\/311). Let w = -8\/3 + f. Let z = 12\/1045 + -149507\/6270. Calculate the common denominator of z and w.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 AM and 1:13 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i + 9. Let x be p(-8). Suppose o - 5*u = 34, -2*u - 95 = -5*o - x. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 216.39 - -0.61. Let s = 118 - t. Let j = -98.99999795 - s. Round j to 7 dps.\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74616.79099 rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 5*w, -3*u + 2*w + 4996 = -u. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (720\/78)\/(-10)*1053\/(-54)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*g**4 - g**4 - g**4)*(49 + 99 - 223) to n*g**2 + w*g + u + c*g**4 + d*g**3 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -12*y**3 - 5*y**2 - 9*y + 2. What is i(-3)?\nAnswer: 308","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-4)\/g*(g\/g**(-1\/3))\/g)**24 assuming g is positive.\nAnswer: g**(-88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -3*o + 6. Let b(y) = -y - 2 + 6 - y. Let p = -49 - -44. Suppose -4*a + 42 = a + a. Calculate a*b(w) + p*m(w).\nAnswer: w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 17 (base 16) to base 13\nAnswer: 1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t - t - 4*t)*(3 + 2 - 4)*(-6 + 3 - 2 - 3 + 6 - 1 + 3 - 1 + 0 + (-1 + 2 + 0)*(-3 - 4 + 6) + 1 + 0 - 3).\nAnswer: 16*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1001 + 1022. What is the highest common divisor of m and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-32)\/60)\/(3\/((-15)\/(-2))). What is the third smallest value in v, 1, 1\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10 and 72?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*s**4 + 27 - 2*s**2 - 3*s + s**3 + 28 - 56 to c*s**2 + m*s**3 + i*s**4 + z*s + k and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.751 rounded to 2 decimal places?\nAnswer: -0.75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7625*o**2 + 2 - 3 - 1 - 169163*o + 169163*o.\nAnswer: 7625*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2 + 8*c - 18. Let r be o(-10). Factor 4*l**2 + 13*l**3 - 4 - 5*l**3 - 6*l - 2*l**5 + 0*l + 0*l**r.\nAnswer: -2*(l - 2)*(l - 1)*(l + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23 - 19. Suppose -z = 2*w - 10. Find the first derivative of -w + 2*p + 2*p - 3*p + 8*p wrt p.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 3*n = -0*n - 8, 2*n = u + 13. Let k(i) = -i - 1. Let f be k(u). Suppose -f*c + 23 = -9. Solve -5*x = 12 + c for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 + -9)*3 - -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/10 (b) 1\/18 (c) 12\/7 (d) 8 (e) -14\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, 1\/3, -2\/33, -5\/3, -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 2*a. Let k(c) = -68*c + 10. Determine k(n(t)).\nAnswer: -136*t + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -98a144 (base 13) in base 5?\nAnswer: -1404423240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 35 + -30. Suppose 0 = -2*q + 3*q - 1, -a*s = 4*q - 339. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 199 + 2*p - 3*p - 201. Let c(y) = 71*y**2 + 15*y - 10. Let l(q) = -c(q) + 5*t(q). What is the second derivative of l(s) wrt s?\nAnswer: -142","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2888.8 + 2889. What is the third biggest value in y, -15, 4\/11?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 3) to base 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**2 + 15*i + 48. What is t(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/24 + (-2)\/(-8). Let l(j) = j + 1. Let t be l(x). Let c(p) = -p + 1. Let r(a) = -10*a + 8. Determine t*r(b) - 8*c(b).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-231)\/(-33)*(-2978)\/(-14)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.91404 rounded to two decimal places?\nAnswer: 4.91","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4612.6 + -4613. Which is the third biggest value? (a) -4 (b) -0.3 (c) -0.2 (d) -10 (e) m\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t - 2*t - t + 3*t - 7955 - 3092.\nAnswer: -t - 11047","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7486.\nAnswer: 2, 19, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1457, -1456, -1453, -1448, -1441, -1432, -1421?\n\"Answer: s**2 - 2*s - 1456","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18200*l + 18213*l - 36403*l.\nAnswer: 10*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 5 - 1555*x - 1990*x**2 + 1555*x.\nAnswer: -1990*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*w - 12*w = -30*w - 360 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -5*w - 1. Let v be p(-1). Suppose -3*t + v*t = 2. Does 2 = t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*w - 20 = 16*w. Suppose -311 = -21*r - 38. Solve -3*x + w + 1 = -3*g, -3*x = 4*g - r for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1383 - -1380. Which is the closest to 4\/3? (a) 1\/3 (b) 12.3 (c) 3\/5 (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(-21))\/(-2*1\/(-14))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 172 = -20. Suppose 0*p = 3*p + 2*f - g, 5*p + 2*f - 120 = 0. Let x = p + -12. Solve 3*q + l = -x, -5*q - 2*l + l = 18 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 976677 and 78?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 4797897 - 4797897 - 4*g. Let l(c) = -40*c. Give z(l(m)).\nAnswer: 160*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, -72, -13 in descending order.\nAnswer: 5, 0, -13, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.0032895 * -3\nAnswer: -0.0098685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 92?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1275 + 1281. Let q = 0 + 3. Solve 21 = q*v + x for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (240 - 183) + -9 + -71?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 34711877319039?\nAnswer: -34711877319040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 83.\nAnswer: 664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9764.048 centuries to decades.\nAnswer: 97640.48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37158.\nAnswer: 2, 3, 11, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 265*j**4*w - 40*j**4 - 1382*j**3*w - j**3 + 2*j**2*w + 2*j**2 + 280*j*w - 5*j + 74*w - 4 wrt j.\nAnswer: 6360*j*w - 960*j - 8292*w - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -10534417*i*j**2 - 3*j**2 - 1873*j + 52 wrt i?\nAnswer: -10534417*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -638*v + 642*v - 28 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 5*b - 118 = t, 0 = -2*b - 8. Solve -5 = t*l - 45*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.9 and -12.5618.\nAnswer: 11.30562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (30\/(-7))\/((-5)\/35). Let g = -35 + b. Sort 2, g, 0 in descending order.\nAnswer: 2, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1595\/804 - 85\/268. Factor -s*z**3 - 2\/3 + 2*z**2 + 3*z.\nAnswer: -(z - 2)*(z + 1)*(5*z - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggfgf. Give prob of picking 4 g.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -9\/34 (b) 9\/2 (c) -1 (d) 0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6419802 and 52426?\nAnswer: 70617822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = 6*x - 3*x + 9, 3*n - 9 = -3*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53441 is divided by 19432?\nAnswer: 14577","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*l - 6. Let h = 3732 + -3717. Put l, h, -2, -5 in ascending order.\nAnswer: -5, -2, l, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11\/39 - 8\/13. Let u = 0.831 + 0.029. Let z = 0.99 - u. What is the second biggest value in 5, p, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 - 26*v**2 + 22*v - 59. Let w be z(-27). Calculate the greatest common factor of 190 and w.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2899314157 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*v**3 + 61079948*v**2 - 68546148?\nAnswer: 9*v**2 + 122159896*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oaacco. What is prob of sequence ac?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-38)\/9 - 6\/(-27). Let k be 14\/(((-16)\/d)\/2). Solve 2*j - k = 3*w - 1, -2*j + 2*w + 4 = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 297260 divided by 21\nAnswer: 297260\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2924, 3842, 4758, 5672?\n\"Answer: -n**2 + 921*n + 2004","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -40 + 201\/5. Let j = 19 - 24. Let f = -9 - -12. What is the second smallest value in i, f, j?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1253 (base 12) in base 4?\nAnswer: 200133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 293, 584, 873, 1160?\n\"Answer: -a**2 + 294*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = -f - 2*z - 3, 0 = 5*f + 2*z - 9. Let j be -6*-3*f\/9. What are the prime factors of 4*(5 + -2 + j)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1560*d - 1555*d - 4*t + 33 = 0, -d - 29 = -4*t for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -t + 395*r - 384*r - 58, -5*t - r - 10 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 w, and 2 j when four letters picked without replacement from {w: 6, n: 1, j: 2, e: 5, o: 5}.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 + 15. Let p = -1.7 - -16.7. Let c = -10 + p. What is the nearest to 2 in c, q, -0.5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -6*w. Suppose w = 2*v + 11717759 - 3517759. Round v to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.07 or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 375970 is divided by 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 482 - 332. Calculate the greatest common factor of h and 100.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6.9 * 0.48.\nAnswer: 3.312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 0 (b) -0.4 (c) 4 (d) -1.1 (e) 1.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -67 - 61 + 200 + 22635*n - 72 in the form w + c*n and give c.\nAnswer: 22635","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - (-12 - (-33 - -19))) + -2 + -5?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 66 - 18 + 112)*(-u**5 + 6*u**5 + u**5).\nAnswer: 1002*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + -2 + -62 + 3 + 13.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -13*s**2 - 104*s - 39. Give c(-8).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 8 = -20, -3*d + 2*n = -17. Let l be 1\/6 - (-1)\/3. What is the biggest value in d, l, 0.1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -27 + 40. Let j(g) = g**2 + 16*g + 2. Let a be j(y). Suppose -c + 0*c = -a. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -2, 1, -3, -1, 45660?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - g - 11 = -0*g, 10 = -2*g for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 21*c**2 - c. Let z be g(1). Suppose 4*h - 68 = -z. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p + 2*f - 33840, 2*p - 27929 = 2*f + 5899. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -151, -318, -521, -778, -1107, -1526?\nAnswer: -2053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1224*f**5 - 25*f + 14 wrt f.\nAnswer: -24480*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -2 + 4 - 2*p**2 + p**2. Let i be s(0). Find the second derivative of -i*q + 3*q + 2*q**5 - q**5 wrt q.\nAnswer: 20*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 387395 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, a: 1, t: 1, d: 1, e: 1}. Give prob of picking 1 d and 1 t.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1192, -2376, -3560, -4744?\nAnswer: -5928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-1)*v)**(-8\/9)\/((v*(v**(1\/3)*v)\/v)\/(v*v**(1\/3)*v)) assuming v is positive.\nAnswer: v**(1\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2 - 6*x - 4. Let w be h(-5). Let s be 3 - w - 0\/2. Suppose -s*p + 6*p - 4 = 0. Let c(g) = -g**3. Determine c(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -3*j + 74145, -5*j + 27532 = -2*w - 96099. Does 41 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7103, 7013, 6863, 6653, 6383, 6053, 5663?\nAnswer: 5213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 1 + (20 - 16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-4)\/o*o**(-6\/11)\/o)**(-2\/51)*(o\/o**1*o)**(-15)\/((o\/(o\/o**(-2\/13))*o)\/o*(((o\/(o*o**(5\/3)\/o))\/o)\/o*o*o)\/o) assuming o is positive.\nAnswer: o**(-94246\/7293)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -883\/6735 + -1\/449. What is the fourth biggest value in w, -0.3, -2, -0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -790? (a) -0.01 (b) 2 (c) 0.2 (d) 0.5 (e) 1.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -2*i - 1. Let n be p(-2). Let o(s) = 0*s + 8*s - n - 5. Let q(r) = -r + 1. Let m(w) = o(w) + 6*q(w). Find the first derivative of m(h) wrt h.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 294 = 10*r - 24*r - 7*r for r.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 3*j**2 + 89*j - 192. What are the prime factors of d(-53)?\nAnswer: 2, 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + a + 60 = 0. Suppose 4*o + 0*o - a = 0. Suppose w + 7 = -4*t + 5*t, 3*t - 31 = 5*w. Put w, o, -1 in descending order.\nAnswer: o, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 963416?\nAnswer: 2, 120427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20 + -10002011020000122?\nAnswer: -10002011020000212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 + 4*j - 1. Suppose 14 = 4*y - 2. Suppose y*q = -5*m + 39, 2*m - 15 = q + 11. What is the remainder when m is divided by o(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 456 and 794496?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1231349 years to months.\nAnswer: 1.4776188","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -m**3\/2 - 231*m**2\/2 - 1393*m + 5232 = 0. Calculate m.\nAnswer: -218, -16, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2365105471 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.5 and 10.59.\nAnswer: 10.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9106?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 10664, -2, 43 in descending order.\nAnswer: 10664, 43, 7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -46*s + 7 + 28*s + 19*s. Let j(i) = 21*i + 2. What is g(j(b))?\nAnswer: 21*b + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 43911.1 + 277322.254.\nAnswer: 321233.354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -17 - -12 - (-13 + 0). Suppose k = c*k - 539. Round k to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vc when two letters picked without replacement from avqyaqwcvyvaqaq?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -a*c**5 - 2*a*c**3 + 17*a*c**2 - 132*c**3 + 11*c**2 wrt c.\nAnswer: -60*a*c**2 - 12*a - 792","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 24*h + 28*h = -30, 4*x - 2*h = -24 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 26, -34, -188, -484, -970, -1694, -2704, -4048?\n\"Answer: -8*p**3 + p**2 - 7*p + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/79253 or 1?\nAnswer: -2\/79253","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1, 253 in increasing order.\nAnswer: -1, 1, 253","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53735*l = -53745*l + 10. Let m = 1 + -2. Suppose 0 = 5*v + q - 73, -3*v + 8 = -4*q - 45. Sort l, v, m in decreasing order.\nAnswer: v, l, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32 - 35 - (-1 - (3 + 7))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) 0.3 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-890755)\/60*-4*(5 - -25)\/10 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -20) + (9 - 11)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-9 + -15 - -27) - 47?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 59478?\nAnswer: 5947.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -1 - 18*u + 10*u + 11*u. Let g be k(1). Suppose -1 = -g*s + s. Which is the second biggest value? (a) -1 (b) 2 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/22 and -1 - (46\/(-9) - -1).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -64*k**2. Let y(w) = 794336*w + 6. Calculate y(m(h)).\nAnswer: -50837504*h**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 239 + 551 + 3475*q**2 - 3476*q**2 as r*q**2 + k + f*q and give k.\nAnswer: 790","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 438475?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the second derivative of 68 - j + 0*j**3 - 63\/20*j**5 + 0*j**2 - 13\/4*j**4. Find the third derivative of k(g) wrt g.\nAnswer: -378","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1270, -1771, -2270, -2767, -3262, -3755, -4246?\nAnswer: -4735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**2 - 4*r + 6. Let v be m(-4). Find the second derivative of v*x + 7*x**2 + 2*x - 14*x**2 wrt x.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3202915553\/1740 - -1840756. Calculate the common denominator of x and 41\/21.\nAnswer: 12180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27135?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2545 is divided by 141.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -9*w. Let g(d) = -93*d**2. Give y(g(o)).\nAnswer: 837*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -666584 (base 14) to base 8\nAnswer: -15203070","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t**2\/9 - 23372*t\/9 - 23374\/9 = 0. Calculate t.\nAnswer: -1, 11687","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1061 - 550. Let c = u + -321. Let w = 293 - c. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + z = -27, z = 373 - 365. Let w(c) be the third derivative of 37\/60*c**5 + 0 + v*c**3 + 0*c - 10*c**2 + 0*c**4. Differentiate w(l) wrt l.\nAnswer: 74*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/524 and -41\/7396?\nAnswer: 968876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 3*n. Let m(t) be the first derivative of t - 2 + 1\/3*t**3 + 0*t**2. Let r(b) be the first derivative of m(b). Calculate r(s(k)).\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -635 + 635 - 2*v - 7*v.\nAnswer: -9*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 44404?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -147\/8*f**3 - 243\/4 - 9\/8*f**4 + 1107\/8*f - 465\/8*f**2 = 0. Calculate f.\nAnswer: -9, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11*20\/660*(-18)\/14.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -2*b**3 - 4*b - 7. What is u(-3)?\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(567))**2 + sqrt(63))*1*6 - (-4*((1 + sqrt(63))**2 - sqrt(7)) - (1 + sqrt(21)\/sqrt(48))).\nAnswer: 153*sqrt(7)\/4 + 13865","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 12467.41 minutes in nanoseconds?\nAnswer: 748044600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3171 + 3179. Let i be 5\/3 - (-2)\/6. Solve i*r + 2*n - z = 0, -r - 2 = -n - 0*n for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14 + 16. Let q be 6*(-15)\/(-27) - m\/6. Solve 5 = q*f - 7 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*w - 20 = x, -145*x + 40 = -141*x - 2*w for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1006 and 184909339.\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 162449?\nAnswer: 7, 23, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 81, 80, 79, 78?\n\"Answer: -i + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1488 and 2883?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 5*o = 117, -6*o = 2*y - 3*o + 59. Which is bigger: y or -26?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22 - -41. Let q = c + -11. Calculate the least common multiple of q and 11.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f - 529 = -565. Solve f*s - 11 = 5 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14514321 (base 6) to base 4\nAnswer: -1323331021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 - 61*i + 464. Calculate o(52).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -5*x**2 + 3*x + 2. Let u(n) = 4*n**2 - 3*n - 3. Let i(a) = -4*g(a) - 3*u(a). Let p be i(2). Calculate the highest common divisor of 3 and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 - 9*v**2 - 22*v + 12. Let s be j(11). Solve s = -10*w - 2*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 7:36 PM?\nAnswer: 2:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*y - 272 + 320. Sort 0, -5, y, 2 in ascending order.\nAnswer: y, -5, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1\/2)\/((-2)\/(-8)). Suppose -2*d = 2*a - 7*d + j, -2*a + 16 = 4*d. What are the prime factors of (-2)\/(0 - a\/14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + 10 + 20 - (18 + -5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*s**2 + 13*s - 5*s**2 + 4*s**2 - 6*s as v + u*s**2 + x*s and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 46043 and 2039368.\nAnswer: 83614088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-135)\/(-81)*3930\/25. Which is smaller: 2 or a?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -14 + 6 - -2 - -382?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 147674, 591022, 1329938, 2364422, 3694474?\nAnswer: 5320094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -73154.48 to the nearest 10.\nAnswer: -73150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 - 4\/((-4)\/3). Suppose 1 = -b*l + 29. Suppose -2 + l = y. Solve -g + 11 = 3*r + 2, 4*r = -y*g + 12 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 6*t**3 + 6*t - 6. Let n(m) = 12*m**3 + 11*m - 11. Let i(c) = 2*c**2 - 3*c**2 - 1291 + 1322. Let y be i(-5). Give y*n(a) - 11*w(a).\nAnswer: 6*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -164 from -1811.\nAnswer: -1647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) 2.01275 (c) 2 (d) -1 (e) -2 (f) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 45458?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 2816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 497\/(-142)*16\/(-28). Sort 3, 65, h.\nAnswer: h, 3, 65","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3734, 3916, 4218, 4640, 5182, 5844, 6626?\nAnswer: 7528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1305 and 11253015.\nAnswer: 1305","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Is 11625035 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 3*r**3\/4 - 4767*r**2\/4 - 26463*r\/2 + 50400 = 0.\nAnswer: -14, 3, 1600","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 60\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.257 - 1.957. What is the closest to 2 in 0.2, -3\/4, 1\/7, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2890*f - 7*r = 2889*f, -4*r + 100 = 3*f - 5*r for f.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 827281 and 559.\nAnswer: 35573083","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.4 + 0.1429.\nAnswer: 1.5429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(432)*1 - (-2 + sqrt(300) - sqrt(300) - sqrt(12))**2.\nAnswer: -16 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 5, d: 6, a: 2}. What is prob of picking 2 w?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, h: 1, m: 3}. Give prob of picking 2 m and 1 k.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 82a7 (base 11) in base 14?\nAnswer: 4023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/7, -48, 4\/3, 2?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 10107 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 21, 46, 87, 150, 241, 366?\n\"Answer: h**3 + 2*h**2 + 12*h + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -10037167 + 0?\nAnswer: -10037167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -76374738 divided by 128577?\nAnswer: -594","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 + 14 = 2*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1264.74 and -0.50307?\nAnswer: 1265.24307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ga when two letters picked without replacement from rrrrararrrrcg?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 118, 677, 2176, 5077, 9842, 16933, 26812?\nAnswer: 39941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -42*b**3 + 39*b**3 - 2 + 5*b**4 - 2*b**4 - 2*b**4 - 399*b as v*b + l*b**2 + u*b**3 + g*b**4 + x and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -64 - -106. Let d be 12\/w + (-57)\/(-21) + -2. Let t be (1*8)\/(0 - (-2)\/d). What is the highest common factor of t and 48?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-2)\/k)**(-2\/11))**20 assuming k is positive.\nAnswer: k**(120\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 2 n when four letters picked without replacement from {g: 4, n: 4, o: 9}?\nAnswer: 54\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.31 - -0.31009. What is r rounded to five decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 9:00 AM?\nAnswer: 6:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 316, -4, 5 in descending order.\nAnswer: 316, 5, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 3*x**2. Let m be (-1)\/3 - 247\/(-39). Let a(s) = 140 - 140 + m*s. Calculate h(a(n)).\nAnswer: 108*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 241 a factor of 6901999?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*b - 61 = b + 107 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11*q**5 + q**4.\nAnswer: q**4*(11*q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1388?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1.428 (b) -3 (c) 92 (d) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 446706?\nAnswer: 2, 3, 13, 23, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 3*b = -19, 0 = 450*w - 455*w + 4*b + 46 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 2*x**2 + 6*x - 237. Let z be q(-12). Let n(f) = -f**3 - 20*f**2 + 19*f - 44. Give n(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + 37a8284?\nAnswer: 37a8286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5*(-5)\/((-75)\/6))\/(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*o - 40 + 52 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -133 (base 4) to base 11\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -2*x**2 - 366*x - 15952. Give t(-109).\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (10\/(-6))\/(2\/(-6)). Let j(g) = 10*g + 2. Let z be j(-2). Let w be (6\/z)\/(1\/(-18)). Does x = w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -8, -0.4, -1\/2, -3\/7?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 69532.44 millennia in centuries?\nAnswer: 695324.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 122 + 11001021?\nAnswer: 11001220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 407000, -2, 5 in descending order.\nAnswer: 407000, 5, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + -1200112002?\nAnswer: -1200112021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 342 a factor of 6358122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2793*a**3 + 79*a - 79*a.\nAnswer: 2793*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13012296 + -165403.57.\nAnswer: -13177699.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13 - (-4484)\/(-323))*-17 + (12 - -20).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54710.53 hours to seconds.\nAnswer: 196957908","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of 8*z**7\/525 + z**6\/12 - z**5\/30 - 5*z**4\/12 - z**3\/5 - 114*z**2 + 3*z. Find m such that i(m) = 0.\nAnswer: -3, -1, -1\/8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of s**9\/56 - s**7\/210 - s**5\/2 - s**2 - 17. What is the third derivative of p(b) wrt b?\nAnswer: 1080*b**3 - 24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 5*u = -23, 2*n - 3 = u + 6. Suppose 2*a + 0 = -n. Sort a, 2, 0 in decreasing order.\nAnswer: 2, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5750 + -4?\nAnswer: 5748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -17*v - 7. Let a(z) = -2*z + 11*z - 81 + 85. Determine 11*a(n) + 6*r(n).\nAnswer: -3*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.1, 0.3, 1\/2, 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (35\/21)\/((-25)\/(-20))\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (49\/7 - 8)*(0 + -3)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 972, 1330, 1812, 2424, 3172, 4062, 5100, 6292?\n\"Answer: w**3 + 56*w**2 + 183*w + 732","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.8 - -6.2. Let j = 8.3 - l. Let u be 4\/(-10) + 54\/(-15). Sort j, -2, u in increasing order.\nAnswer: u, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -0.5, 446 in increasing order.\nAnswer: -0.5, 0, 446","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 - 61 = 3*z. Suppose -45 = 4*n + f, 5*f = -3*n - 2*n - 75. Let w be 6\/z + (-6)\/n. Is 0 at least w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -354340, -354390, -354440, -354490?\n\"Answer: -50*u - 354290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 47024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 97*i**3 - 195*i**3 - i + 2*i**4 + 95*i**3 + 8 to the form q*i**2 + w + h*i**4 + n*i + d*i**3 and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25839 divided by 5.\nAnswer: -25839\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 4 = -2*z. Suppose -5*y - 2*o + 647 = 0, -2*o - 7 = z. Suppose -64 = -5*u + y. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 4*r - 205 = 0, -5*r = -3*s + 368 + 264. List the prime factors of s.\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*l + 5*l - 156 = 0. What is the hundreds digit of l - (6 + -5)*-193?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1579.9 + 1580.1. What is the nearest to 0.8 in 2\/25, y, 2\/17, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 17 = -5*p + 2*t, -t = 4*p - 8. Let u(q) = -42 - 6*q + q**2 - p*q + 52. Give u(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (70\/(-30))\/((-29)\/(-87)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 28*k**5 + 21*k**4 + 863*k + 1 wrt k.\nAnswer: 560*k**3 + 252*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 + -10)*(-20)\/(-6) + (-6976)\/(-327)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -146 + 101. Let y = 44.939 + l. Round y to 2 dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2\/530357 + 93342850\/4773213. Factor r*o + 3872\/9 + 2\/9*o**2.\nAnswer: 2*(o + 44)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a - 4*h - 23 - 1, 3 = -4*a + 3*h. Let x = 40 - 24. Let t = -635 + 637. Put a, t, x in decreasing order.\nAnswer: x, t, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -3*q - 3 - 17*q**2 + 4*q + q**3 - 6. Let g be d(17). Solve 6*j - g = 2*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113*x + 10 = -115*x. Calculate the common denominator of (2\/(144\/(-17)))\/1 and 2\/x - ((-459)\/10 - -2).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, 33, -7\/24, -1\/10 in increasing order.\nAnswer: -7\/24, -1\/10, 0, 3, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20963.\nAnswer: 20963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 3*l**3 - 2*l**2 + 21*l + 22. What is f(-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92338?\nAnswer: 2, 137, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of -j**3 - 53. Let o(w) be the third derivative of -7*w**4\/24 + 5*w**2. Determine o(a(p)).\nAnswer: 21*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5923715615?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from svssvsssssss. Give prob of picking 3 s.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 25 (base 6) to base 5\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 39 - 22. Let s = h + -12. What is the remainder when s is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of d**2\/2 + 27*d - 32. Let f be g(-23). Solve -3*n + 4 = f*z + 2*n, 4*z - 5*n - 4 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*x**2 - 18*x + 18*x + 0*x**2 + 81 as n*x**2 + s + m*x and give s.\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 8671331?\nAnswer: 17342662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/191554 and 83\/296038?\nAnswer: 3256418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1020, 1007, 986, 957, 920, 875, 822?\nAnswer: 761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -121715 (base 9) to base 3.\nAnswer: -10201210112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1434883 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from zaz.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -3*k**3 + 423051*k**2 - 14914557240*k + 14914134192 = 0.\nAnswer: 1, 70508","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 - s - 9. Let z be c(-3). Let a(l) = -9*l**3 + l**2 - 1. Let x be a(1). Is (373\/z)\/((-3)\/x) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 5*p = -3*p + 8, -2*p - 8 = 4*w. Suppose 0 = -0*v - v - 5. Let h = v - w. Put h, 0, 5 in ascending order.\nAnswer: h, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 2) to base 14\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.124672 + 388.286928. Let z = -386.1 + u. Let f = -4.3 + z. What is f rounded to 3 dps?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -7. Let c(m) = -5*m**2 + 3*m - 3. Let t(b) = -7*b + 4*b**2 + 5*b + 0*b + 2. Determine o*t(y) + 2*c(y).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -259*h + 3447. Give o(13).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/111899600 and 43\/11189960.\nAnswer: 111899600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4427 + -4197. Are v and 225 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -6*c**2 - 1. Let n = -10 - -7. Let x be (-2)\/(9\/n + 5). What is y(x)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, -0.4, 1, 2, 0, -0.3 in decreasing order.\nAnswer: 2, 1, 0, -2\/7, -0.3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*q - 10*q - 7*q)*(3 + 6 + 0) + 3 + 2*q - 3 to i*q + l and give i.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120 = -5*k - 2*z + 156, z = -5*k + 38 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3046, 8897, 18636, 32257, 49754?\n\"Answer: -l**3 + 1950*l**2 + 8*l + 1089","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the second derivative of 3*c**4\/2 + c**3\/6 + 99*c. Let m(i) = -i**2. What is m(w(u))?\nAnswer: -324*u**4 - 36*u**3 - u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 20*v**3 - 16*v**2 + 10. Let n(i) = 18*i**3 + 5*i**2 - 18. Let l(g) = -23*g**3 - 5*g**2 + 21. Let m(x) = 5*l(x) + 6*n(x). Determine 10*m(h) + 3*y(h).\nAnswer: -10*h**3 + 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 10\/3, -18, 2\/27, 0.4, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 2*w + 21 = 0. Let s be -2*(-3)\/(-6)*w. What is the first derivative of 0*r**4 - s*r**4 + 1 + 6 + 1 wrt r?\nAnswer: -28*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 + -5)\/(-3) - 1. Let o = -377 + 395. Suppose w = -o*i + 11*i + 1113. List the prime factors of i.\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from mmhhwmm.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*q**4 - 188*q**3 + 5008*q**2 + 667932*q + 10985490 = 0. Calculate q.\nAnswer: -87, -45, -23, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 6}. What is prob of sequence cccc?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 4 + 4. What is the least common multiple of 24 and x?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.162413 * 2.265\nAnswer: 0.367865445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 237509314?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(-237)\/(-90) + 17\/170?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or -6123312\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (5360*(-5)\/(-300))\/((48\/(-9))\/(-4))?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 2:07 AM?\nAnswer: 6:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.04 (b) 6 (c) 8\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36 is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 659081?\nAnswer: 37, 47, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of -t**5\/30 - 5*t**4\/4 + t**3\/2 + 11*t**2 - 20. Determine q(-14).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l be 245\/50*525\/245. Factor -1\/2*s**3 - 11*s**2 - l*s + 0.\nAnswer: -s*(s + 1)*(s + 21)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -529, -737, -945, -1153?\nAnswer: -1361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (7 + -7 + 5)) + 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -19*c + c**3 - 26 - 11*c - 2*c - 85*c**2 + 115*c**2. Let a be j(-31). Let h(r) = r. Determine h(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (28 - (0 - 3)) + 2. Suppose -5*m - 24 = -2*q + t, q - m - 33 = 0. Suppose 4*r = 184 - q. What are the prime factors of r?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -314, -500, -686?\nAnswer: -872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -186 by -113.\nAnswer: 186\/113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/8 - 42\/8. Let y be 7 + 3\/(9\/h). Suppose -3*r + y*r = 0. Solve r*j + 1 = j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 2*w**2\/9 + 960938*w\/9 = 0.\nAnswer: -480469, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 101241.\nAnswer: 202482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tzz. What is prob of sequence zt?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(2\/9))**10\/(s*s**(-2\/7)*s*s*s**(-3)) assuming s is positive.\nAnswer: s**(788\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -125*p + 1091*p + 588*p + 319*p as v*p + x and give v.\nAnswer: 1873","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 389436 to the nearest integer?\nAnswer: 624","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -y + 6, 3*y - 6*w + 2 = -4*w. Suppose 14 = 5*m - 1. Let g = y + m. Solve g + 1 = -2*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002852 rounded to 4 decimal places?\nAnswer: -0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3 + 5874*w**2 - 29395*w.\nAnswer: w*(w - 5)*(w + 5879)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 599 divided by 5187\nAnswer: 599\/5187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 70 - 213*v + 122 - 49 wrt v?\nAnswer: -213","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5\/607 - -54063\/4856. Find the common denominator of 27\/13 and v.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 2*j**3 - 4*j**2 + 2*j + 1. Let q be y(2). Suppose 0 = q*t - 51 - 24. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4318, -8790, -13274, -17776, -22302, -26858, -31450, -36084?\nAnswer: -40766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -387\/134 at least -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8 - -295cc?\nAnswer: 295c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-2)*-2 - 4)\/1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 36\/13595 and 91\/60.\nAnswer: 163140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 3\/(-2)*(-1020)\/(10 - 4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(126)\/(sqrt(54)\/(sqrt(9)*-4 + sqrt(9))))\/((sqrt(108) - sqrt(27)) + sqrt(24)\/(sqrt(8)*-1) + sqrt(3)))**2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 25488*z**3 + 166455*z**3 + 2*z - 78289*z**3 + 36869*z**3 + 130678*z**3.\nAnswer: 281201*z**3 + 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - 1. Let h = -0.2 - q. Let t = h - -0.2091. Round t to three dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33677029 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 - -5. Let q = 2.4 + d. Let y = 6.5 - 1.5. What is the third smallest value in 2, y, q?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 PM and 4:54 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 5*m - 68, 3*m - 6*m + 32 = d. Suppose 0 = -20*p - m*p. Let x = -3183\/16 + 199. Which is bigger: p or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-14)\/(-35) + 17\/(-5). Sort -3\/2, -4, -0.01, i in descending order.\nAnswer: -0.01, -3\/2, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*b - 37*b + 5*n = 0, 2*b - 7 = 3*n for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4837481 to the power of 1\/5, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -124244143 - 1003?\nAnswer: -124300201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.85999967 - 0.86. Round p to 7 dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(-2) - (-5)\/2. Let z(y) = y**3 - y. Let l(f) = 2*f**3 + 3*f**2 - 3*f - 1. Let o(a) = q*z(a) - l(a). What is o(2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -54 divided by 764284?\nAnswer: -27\/382142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 5*w - 102, -2*r = -0*r + 5*w - 68. Suppose 0 = 2*q - 5*b - 49, 2*q + 0*q - 2*b = r. Calculate the highest common factor of 36 and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2*k + 35. What are the prime factors of u(-3)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40 + (-10 - (320 + -302 - (0 - -29))).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 124028790?\nAnswer: 2, 3, 5, 4134293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1590*r + 134*r + 72426 = -10326 for r.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 7 = 9*g. What is the third biggest value in -1, 0.3, g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6009*j + 8510*j - 5348*j in the form d*j + k and give d.\nAnswer: -2847","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 214506 is divided by 7943.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -22617*n. Let s(z) = -1037*z. Determine l(s(r)).\nAnswer: 23453829*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -75.349992066 - -75.35. What is n rounded to six dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45 is divided by 31.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1558 (base 16) to base 15\nAnswer: -1944","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -54.098 - -0.098. Let c = -2055.14766 + 2109.147. Let k = u + c. Round k to 4 dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 772*w = 715*w + 513 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*f = -5*n + 859 - 750, 3*f - 2*n = -6*n + 77 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + 25 - (-1 - -12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 176\/32 - 13\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 - d - 2. Let q(s) = -s + 7. Let y be q(5). Let j be f(y). Let o be -1 - (-3)\/(3\/2). Solve -3*g + 4*c - o = -j*g, -5*g - 2*c = -33 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 84873?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 - 32*m**2 + 45*m + 398. Calculate n(-33).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 4*r + 32 = 0, -4*c = -2*r + 4 + 10 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(1100)*2*-6*3)**2 - 6*(-2 + -1 + sqrt(1100) - (3 + sqrt(1100) + 1))**2.\nAnswer: 1425306","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 + 84*q**2 - 141*q - 697. Is t(-72) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.7 + 5. Let f = 1209 + -3535\/3. Let d = -30 + f. Which is the nearest to -4\/5? (a) d (b) l (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 - 9 - 8 - 14*v.\nAnswer: -14*v - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 56\/8 + (-26 - -22 - ((-138)\/(-142) - -2))\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 806270 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 18*m = 3*m + 300. Solve -k = c, 5*c - 5*k + 10 = -m for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -2*l + 2. Let v(g) = -g**2 - 6*g - 8. Let k be v(-4). Suppose r + k*r + 5*q + 5 = 0, 5*r - 125 = 5*q. Suppose -r + 0 = -4*t. What is y(t)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.8 in -0.4, 2\/7, 0.3, 0.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -7*v + 223. Let x be q(31). Suppose 4*o - 7*w + x*w - 5020 = 0, -5*w - 6290 = -5*o. What is the hundreds digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 7, u: 2, k: 7}. What is prob of sequence ui?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = -3*u + 2, v = -u - 3 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6557 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: What is the closest to -4\/481 in -0.08, -1\/7, -3, 4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.107 + 0.083. What is the nearest to -3\/7 in 4, c, -2\/3, -0.1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60110 is divided by 15023.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 4*n - 42, -6*s + 2*s = -n. Differentiate 44674 + n*o**2 - 44740 - 66*o**2 with respect to o.\nAnswer: -116*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 241 a factor of 176069267?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*s + 3*s + 66. Let l be (-2)\/s*(-15)\/(-2). Which is smaller: l or 56\/9?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2\/65, -35, -0.2, 0.1, 0.97 in increasing order.\nAnswer: -35, -0.2, -2\/65, 0.1, 0.97, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 20.67 - 62134.90722\nAnswer: -62114.23722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 3*s = 109, 56*t + s - 545 = 51*t. What is the greatest common factor of t and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3601027 and -4?\nAnswer: -14404108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.531 + -2.831. Which is the nearest to 19? (a) x (b) -4 (c) -3\/5 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - 5*s + 12, 2*z - 5*s = 21 + 12. Solve 12*r - 15 = z*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -115 >= 2.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 80 + -72. Suppose 32 = o + u. Does 12 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2371\/112 + 5\/16. Let z be 18220\/48*-3*4\/210. Let y = z - m. Which is smaller: y or 0?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18.21*1\nAnswer: 18.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mw when two letters picked without replacement from lmllmlmwmmwlmmm.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, 19, 1\/9 in descending order.\nAnswer: 19, 3, 1, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7\/(-21) - (-2661)\/(-9). Let k = f - -2075\/7. Which is the second smallest value? (a) -0.3 (b) -2 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 86335.7427 to the nearest 1000.\nAnswer: 86000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 11 = 3*w, v + 5*w - 39 = -10. Suppose 0 = -q - v*s + 16, -4*s + 41 = 3*q + s. Is q a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000480425 rounded to 5 dps?\nAnswer: -0.00048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 110013?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 2*h - w - 11, -15 = 3*h + 3*w. Which is the second smallest value? (a) 2\/9 (b) h (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 431518608, 863037215, 1294555822?\n\"Answer: 431518607*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -87*d**2*i + 46*d**2 with respect to i.\nAnswer: -87*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*r**2 - 2*r**2 + 8*r**2 + (15 - 2*r - 15 + (-4*r + 5*r - 3*r)*(2 + 0 + 0))*(297*r + 246*r - 408*r) to the form s + v*r + y*r**2 and give y.\nAnswer: -806","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 17 = -9. Let a = 6 - 2. Calculate the greatest common divisor of a and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*m + 62 + 64 = 0. Suppose -m + 54 = 3*t. Solve g = -3*g - t for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*4\/(-50))\/((-108)\/(-120))?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22432110 - 22432156.999923. Let n = -47 - u. What is n rounded to 5 dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*n - 60*n**3 + 5*n**3 + 74*n - 40*n to the form t*n**2 + q + l*n**3 + j*n and give j.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23450228?\nAnswer: 2, 73, 80309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 6*n - 3*n. Suppose 3*l = n*l. What is the nearest to l in -3, 0, -1\/17?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -65.6 - -65.5. Let z = -10.4 - -10.4. Which is the nearest to q? (a) z (b) 3\/4 (c) -4 (d) -1\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 20581\/162, 2\/3, -4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -303 - 1224123124?\nAnswer: -1224123432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = -t + 5*w - 405990, 4*t + 1624006 = -3*w. What is t rounded to the nearest 10000?\nAnswer: -410000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5759)\/52 + 1\/(-4). Is -109 bigger than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -9*o - 17. Let s be f(-2). Sort 38, -5, s.\nAnswer: -5, s, 38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*3*sqrt(7) + sqrt(7) + sqrt(21)\/(sqrt(3) + sqrt(3)*4))**2 + 0)*1.\nAnswer: 49392\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123*x = 133*x - 50. Let y(o) be the first derivative of 0*o + 0*o**2 + 3\/11*o**6 - 12\/55*o**x + 14 - 10\/11*o**4 - 16\/33*o**3. Factor y(q).\nAnswer: 2*q**2*(q - 2)*(3*q + 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 441*x + 1. Let a(v) = -440*v - 2. Let r(g) = 2*a(g) + 3*y(g). Let q be r(1). Calculate the greatest common factor of q and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.023975088 rounded to five dps?\nAnswer: -0.02398","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 + 2*y**2 + 2. Let j be m(-2). Suppose 47 = 2*b + 2*b - q, -3*q = -5*b + 64. Let s = b + j. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -230564245, -461128484, -691692723, -922256962, -1152821201, -1383385440?\n\"Answer: -230564239*x - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -184 + 182. Which is the nearest to -2? (a) -4\/5 (b) z (c) 52\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -432ab + -4?\nAnswer: -432b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10111011101 + 10101?\nAnswer: 10111110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -4, -2, -2\/11, -405?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 38, 57, 66, 59, 30, -27, -118?\n\"Answer: -f**3 + f**2 + 23*f + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -792 divided by -116\nAnswer: 198\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of r**4\/4 - 8*r**3\/3 - 2*r**2 - 4*r + 3236. Give k(8).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-60)\/(-455))\/(14\/(-49))?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-three fifths of a litre in millilitres?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2*w**3 - 112*w**2 + 327*w - 446. Let l be m(53). Solve 4*o - 2*f + 14 = 0, -5*f - 1 = 33*o - l*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 9\/18*(-4)\/(-22). Sort a, 5\/6, 2\/11 in ascending order.\nAnswer: a, 2\/11, 5\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 - 5*v - 3. Let h be l(-3). Find the third derivative of -2*j - 3*j**5 + 5*j - h*j + 2*j**2 wrt j.\nAnswer: -180*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -126806446, -126806447, -126806448, -126806449, -126806450, -126806451?\nAnswer: -126806452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -l**4 + l - l + (l - l + 2*l**3)*(-l - 1 + 1) + 5*l**4 - 3*l**4 - 2*l**4 + l**4 to the form w*l + i*l**4 + f*l**3 + o*l**2 + x and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 687431 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 34393823 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3236*i - 3231*i - 4*r + 51, i = 2*r - 21 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21, 49, 83, 123, 169, 221, 279?\nAnswer: 343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o + 2 + 3. Let v(k) = k**3 + 8*k**2 - 8*k + 8. Let j be v(-9). What is the units digit of (o - -3) + j + 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30984 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15336333 and 27?\nAnswer: 46008999","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = -13*m - 17 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 3*p**3 - 2*p + 3. Calculate d(2).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -431, -427, -421, -413, -403, -391, -377?\nAnswer: -361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 176\/80*4\/(-22).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u + 0*u**2 + 0*u**2 + u**3)*(22*u + 37 - 37).\nAnswer: 22*u**4 + 88*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -11003031232 (base 4) in base 9?\nAnswer: -2437024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/446 and 46\/7?\nAnswer: 3122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 1 = 3*n, 7 - 2 = 2*n - s for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the second derivative of -z**5\/60 + z**3\/6 + 15*z**2\/2 - 10*z - 1. Let c(g) be the first derivative of p(g). Factor c(l).\nAnswer: -(l - 1)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 18 = -4*d, 27*d - z = 26*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16055 + -16054. Let q = -3 + 2.7. Which is the closest to z? (a) q (b) 0.12 (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 - 2*r**2 - 2*r - 3. Let g be w(3). Let s = -3 + g. What is the third smallest value in 4, -0.4, s?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4381226?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 5*v = 2606, 9 = -3*v - 3. What is the thousands digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4908 * -3\nAnswer: 14724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162) + (2*sqrt(162) - sqrt(162)) + 0)**2 + sqrt(162) + (sqrt(162) + 0 + -2 - sqrt(162))**2 + 4.\nAnswer: 9*sqrt(2) + 656","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 110245?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -14*a**2 + 15*a - 12. Suppose -6 + 38 = 2*j. Let d = j - -1. Let n(z) = 5*z**2 - 5*z + 4. Let r(o) = d*n(o) + 6*x(o). What is r(-5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 y, and 2 k when four letters picked without replacement from yyyyfdyykffyfyyyy?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 173*w**2. Let t(g) be the first derivative of 2*g**3\/3 - 799. Determine k(t(m)).\nAnswer: 692*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (-33 - (12 - 45))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 + 16. Suppose -h*w = k - 16, 2*w + 2*k + 2*k = -6. Let z(x) = x**3 - 4*x**2 - 3*x - 3. List the prime factors of z(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1131814057 and -0.72056.\nAnswer: 1131814056.27944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -452795 and -0.26.\nAnswer: 117726.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 27072 and -5?\nAnswer: 27077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 2*j + 990 = 0, -6*o = -o + 4*j - 990. What are the prime factors of o?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 15\/11, 1278, -1.14?\nAnswer: -1.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*b + 6*b - 21 = -3*q, 5*q = -5*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*c + 26*c + 11. What is the remainder when (-4 - 5\/(-1))\/(c\/(-61)) is divided by 1\/2 - 62\/(-4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 128 + 234. Let g = 361.9999811 - h. What is g rounded to 6 dps?\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z\/(z\/(z*((z**(1\/15)\/z)\/z)\/z*z)))\/z**(3\/11))\/((((z**(5\/2)\/z)\/z)\/z*z*z)\/z*z**(-12)\/z) assuming z is positive.\nAnswer: z**(4057\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 + 7*d - 87. Suppose 0 = 5*z + 130 - 165. Let y be b(z). Let l(m) = -10*m**2 - 14*m + 11. Let o(r) = 3*r**2 + 5*r - 4. Give y*o(i) + 4*l(i).\nAnswer: -7*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 610989400 to the nearest one million.\nAnswer: 611000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (139\/139)\/(0 + (-2)\/(-94)).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 4053, 7893, 11795, 15783, 19881?\n\"Answer: 4*z**3 + 7*z**2 + 3791*z + 251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -26*c**3*s*t**2 + 3*c**3*s*t + c**3*s - c**2*s - 3*c**2*t**2 - 38*c**2*t - s*t**2 wrt c.\nAnswer: -156*s*t**2 + 18*s*t + 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 12 + (-2 - (-1 - -6)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2*((-1)\/(-1))\/(-9). What is the closest to 0.1 in 2, -2, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -76384 - 1306?\nAnswer: -77690","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 29747, 29746, 29745?\n\"Answer: -p + 29748","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 3 o when four letters picked without replacement from rqosr.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 - 7*v**2 - 14*v + 94. Let h be x(7). Which is the third biggest value? (a) -0.4 (b) 0.6 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - 1. Suppose 7*f + s = 2*f + 71, -2*f - 2*s = -30. Does 7 divide (-1 + f)*(r + 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -58*l - 3. Let u be g(2). Let i = 147 + u. Is i a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6*d**3*u**3 - 20*d**2*u**2 + 75*u**3 wrt d?\nAnswer: -18*d**2*u**3 - 40*d*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 + 13*r**2 + 5*r - 19. Let p be g(14). Let l = p + 72. Let s = l + 76. Solve -a + s = 5*y - 0, -a = 2*y - 3 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1124170 divided by 158.\nAnswer: -7115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/78 and 139\/606.\nAnswer: 7878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 - -1 - (3 + 25)\/(-4). Let k be (-4)\/(((-18)\/4)\/p). Calculate the greatest common divisor of 48 and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -29 + 32. Suppose d*f = -82 + 256. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 48, 134, 220?\nAnswer: 306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*q - 2*q - q)*(-3*q + 4*q - 2*q)*(468719 - 9994*q - 2722*q - 468719) to l*q + d*q**3 + p*q**2 + b and give d.\nAnswer: -38148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of -z**4\/12 + 7*z**3\/2 + 24*z + 21. Let c(x) be the first derivative of w(x). Let l(r) = -r. Determine l(c(o)).\nAnswer: o**2 - 21*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 315935468?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 218 and 34778.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve m = 22*m - 4*m + 51 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 72 - 41*b - 132 + 43*b - 125 - 48*b**2 wrt b?\nAnswer: -96*b + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 5*m**2 + 644 - 323 - 317 + m**3 + 4*m. Give p(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -67828902*h*n**3 + h*n**2 + 7716*h*n + 3*h + n**2 - 2*n + 27 wrt n.\nAnswer: -406973412*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21*a**3*t - 1353978*a**2*k*t**2 + 56207*a*k*t**2 + 2*a*t**2 - 13*a*t wrt a?\nAnswer: 126*a*t - 2707956*k*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 t when two letters picked without replacement from tnbsyes?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11.11 + -110.31. Let o = 99 + s. Put -2, o, 10, 0 in decreasing order.\nAnswer: 10, 0, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 10\/22*80\/25 and 45\/11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2810)\/74 + 1083\/(-40071)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of -d**6\/120 - d**5\/10 + d**4\/12 - 2*d**3\/3 + 25*d**2. Let i(y) = 2*y**3 + 13*y**2 - 5*y + 9. Calculate 9*h(s) + 4*i(s).\nAnswer: -s**3 - 2*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 PM and 12:16 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 2\/15, 12, 1\/6, -1\/11, -27?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 2.4154299 minutes?\nAnswer: 0.040257165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*r + 48*r = i - 12, -i - i = 0. Let c = -4 + 4. Sort r, c, -1 in ascending order.\nAnswer: r, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1953*j - 2178*j + 1249*j + 26 - 26 to the form k + i*j and give i.\nAnswer: -2882","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9757 is divided by 4739.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -3*j - 0*v + 11, -2*v = -4*j + 18. Suppose -i + 568 = 3*b + 228, -16 = -j*i. Does 38 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:42 AM and 2:28 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 19566?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -78160 + 545079\/7. Let y = 291 + o. Which is the second biggest value? (a) 3 (b) y (c) 0.5 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 3*v + 15. Let x(y) = -1 + 10 + 2*y - 1 - y. Let p(l) = 3*j(l) - 5*x(l). Let h(o) = o + 0 + 9 - 8. Calculate 10*h(a) - 2*p(a).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 10 = 2*u + 3, 0 = -5*u - 2*f + 8. Suppose 0 = u*c + c. Suppose 10*j - 200 = -40*j. What is the nearest to -0.1 in 2, c, j?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 2*h - 374, -4*w - 3*h + 0*h + 747 = 0. Let a = w + -112. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*(u\/u**(-2\/5)*u)\/u)**(-6\/29) assuming u is positive.\nAnswer: u**(-72\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g**2 - 137 + 275 - 142 - 15*g**2 - 8*g**2.\nAnswer: -21*g**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*c**4 - 285*c**3*r + 224*c**3 - 2*c*r - 184*c - 5*r + 694 wrt c.\nAnswer: -72*c**2 - 1710*c*r + 1344*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9910 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1731427099 to the nearest integer?\nAnswer: 1201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 + 7*z + 9. What is m(-4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6.00000045 + 6. What is d rounded to seven decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 254139067 is divided by 570.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 40*j**2 + 11. Let w(p) = 906*p**2 - 892*p**2 + 4 + 0. Let h(n) = 4*q(n) - 11*w(n). Let a(y) = -3*y. What is a(h(s))?\nAnswer: -18*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 11511685.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -2*j - 7. Let x be l(-6). Suppose k - 14 = -5*m + 2*k, -5*m - x*k = -20. Suppose -m*u + 36 = -u. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -3 - 5*u - u - u. Let m(k) be the first derivative of -3*k**2\/2 - k + 3. Let x(c) = -5*c**2 + c + 1. Let n be x(-1). Calculate n*m(d) + 2*s(d).\nAnswer: d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 102\/(-3)*-3*(-1)\/(-6). Suppose 0 = -3*p - 4*u + 62, u + 24 = p - u. Solve -t*x = -p*x - 10 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41723 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*c + 0*c - 2*c + (0*c + c + 0*c)*(-41 + 1885 - 3513).\nAnswer: -1668*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4433?\nAnswer: 11, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 2*q**2 + 27*q - 39. Let b be p(-15). Let l be (b + 0)*(5\/10 - 1). Put 2, -7, l, 4 in decreasing order.\nAnswer: 4, 2, l, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 33728 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -47180 rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4522592 decades in months?\nAnswer: 54.271104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 90*n - 2. Let j(f) = 272*f - 7. Calculate -4*j(p) + 14*r(p).\nAnswer: 172*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 233 and -0.1325?\nAnswer: 233.1325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 27*g*j**4 - 3*g*j - 2*g + 58 wrt j?\nAnswer: 108*g*j**3 - 3*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k - t = -7*k + 581, -4*k - 3*t = -2352. Is 39 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22 divided by 59\nAnswer: 22\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 621?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 94237 - 94245 = 0, 2*b + 5*d - 2*d + 4 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -16*p + 1. Let l(k) = -3*k. Suppose 1 = -c - 3*b, c - 1 = -4*b - 3. What is c*v(y) - 11*l(y)?\nAnswer: y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wowo when four letters picked without replacement from owwooowwwooo.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 242 a factor of 417197594?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (17\/21 + (-4)\/28)*-6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3719 to the power of 1\/2, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -169\/13062 and -143\/350?\nAnswer: 326550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -54*c - 62*c + 118*c. Let h(j) = 2*j. Let u(d) = -d**3 + 7*d**2 - 7*d. Let v be u(6). What is v*z(i) + 5*h(i)?\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -11*f**2 + 8. Let s(q) = 4*q**2 - 3. Determine -3*r(g) - 8*s(g).\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.014945497542 to 3 decimal places.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 2*f**2. Let y(t) = 258629*t + 210. Calculate y(j(r)).\nAnswer: 517258*r**2 + 210","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7956 = 42*f - 6*f. What is the highest common divisor of 117 and f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b**2 + 76*b + 488. Determine j(-30).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 7 = -3*q, -q + 3*v - 8*v - 7 = 0. Let d be q\/3*(-9)\/(-3). Solve 7 = d*z - 2*l, -4*z + 0*l + 11 = -3*l for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*q**2 + 2*q**2 + 24*q**3 + q**4 - 23*q**3 + 3 - 2 as f*q**2 + t*q**3 + k*q + z*q**4 + p and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*h - 2*h. Suppose -211*a + 267 = -122*a. Solve 7*g + h = -a for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - (-5 - -6)) + (31 - 2) - (-71 + 63).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 7 - (1 + 16 - (37 + -5 + -24)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*c - 30 = -7*c. Let v(j) = -5*j + 2. Let t(y) = 1. What is c*v(q) + 4*t(q)?\nAnswer: 5*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 17769461 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + y - 164, -x + 251 = 2*x - y. Let j = x - 52. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(3\/(-3 - 150)). Let i = f + -51. Solve u = -4*v + v, -2*v + 5*u + 17 = i for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -55805.89 to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (2 - 2)) + -20 + 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 4 (b) 0.02 (c) -3 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 413 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000003013 to six decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 3101\/5?\nAnswer: 3101\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/7)\/((-33)\/66)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2 - 119*l + 1602. Let p be w(16). Which is the fourth biggest value? (a) -0.8 (b) 0 (c) 2 (d) 0.4 (e) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1\/6, -242, -0.1, -3, 2 in increasing order.\nAnswer: -242, -3, -1\/6, -0.1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1764 - -1772. What is the nearest to 0.1 in -0.4, -5, k, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2806 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve h**4 + 57*h**3 - 780*h**2 + 3248*h - 4416 = 0 for h.\nAnswer: -69, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 754.6806\nAnswer: -301.87224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -23 * -353.\nAnswer: 8119","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0767 times -38.1?\nAnswer: 2.92227","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*p + 3*p + 15. Suppose -p*g + 6*g - 12 = 0. Suppose -8 = -4*l - k, k + 2 = 3*l - g. Which is smaller: l or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (12\/5 - 2)\/(36\/3600). Suppose 6 = -v - 2*v, 5*v + o = 2*g. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 99 (base 12) to base 7\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1940 is divided by 76.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -49*n - 271. What is the remainder when f(-8) is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 4 - (12 - (3 + (-10 - -2) + 1))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, r: 7}. What is prob of picking 2 r?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z**4 + 160*z**3 + 1705*z**2 + 6050*z = 0. Calculate z.\nAnswer: -11, -10, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of -r**8\/84 + 2*r**7\/35 - 4*r**5\/15 - r**2\/2 + 15*r. Let s(h) be the first derivative of f(h). Factor s(q).\nAnswer: -4*q**2*(q - 2)**2*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -3*l**2 + 255990057*l + 255990060 = 0.\nAnswer: -1, 85330020","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, 7, -1409, 1\/6, 3\/2 in descending order.\nAnswer: 7, 5, 3\/2, 1\/6, -4, -1409","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 70416 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (33 - -1) + (-106 - (-107 + 10)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 4*x + 2592 = 43*x. Calculate the greatest common divisor of 387 and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 AM and 5:56 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -6*h**2 + 106*h - 57. Calculate m(17).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-132)\/(-72) + -2 + (-25)\/(-6). Let u(b) = 70*b - 284. What is u(x)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*y - 2*o = -61*y - 42, -2*y + 116 = -4*o. Sort -2, -3, y in descending order.\nAnswer: y, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -217*p**2 + p**6 + 7*p**3 + 6*p**3 + 261*p**2 wrt p.\nAnswer: 120*p**3 + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*n + 18*x + 72, 0 = 5*n + 4*x + 232 - 216 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5\/(-20) - (-15)\/(-4). What are the prime factors of (0 - 0\/b) + 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the second derivative of j**7\/6 + 3*j**3\/2 - 7*j. Find the second derivative of z(x) wrt x.\nAnswer: 140*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 26 = -4*p - 0*i, 3*p + 2*i - 2 = 0. Suppose -3*a - 4*m + 4 = -2*a, p*a + m = -14. Let b = -13 - -14. Sort -1, a, b in ascending order.\nAnswer: a, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1970 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -107181+-0.0979\nAnswer: -107181.0979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1a (base 14) to base 11\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xv when two letters picked without replacement from {o: 3, i: 2, r: 1, v: 2, g: 3, x: 3}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -46*x. Let l(q) = -1452*q**2 - 56*q + 2. Calculate g(l(c)).\nAnswer: 66792*c**2 + 2576*c - 92","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a. Let y(m) = m**2 - 12*m - 5. Let o(d) = -4*n(d) - y(d). Let u be o(8). Suppose u*x - 48 = -3. Solve -4*t = z + 8, -x = 5*z + 11 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 7, -252.6, 1\/19, 1?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -5 (b) -0.1 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express a + 0*a + a + (2*a + 2*a + 0*a)*(-1942 + 486 - 1759) as i*a + n and give i.\nAnswer: -12858","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/2168 and 9\/10.\nAnswer: 10840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + (14 + 21 - 7 - 17).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 4 (b) 0 (c) -1239 (d) 2\/21 (e) -108\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + b + 16, -3*b + 0*b + 20 = 2*m. Suppose 5*q - 18 = 3*h, m = 3*q + 4*h - 1. Solve -q*a + i = 11, -2*a + 2*i + i = 12 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 11*k - 11. Let h be v(-4). Let y = -17 - h. Is 19 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccycoccycoocycoo. Give prob of sequence yo.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 + -4)\/(11\/(-55)). Solve -5*l = n, -3*o - l - 2*l = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000330871915 rounded to six decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**15\/v)\/v**14)\/(v**(2\/9))**(-9\/5))**(-8\/11) assuming v is positive.\nAnswer: v**(-16\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - 5. Let n(w) be the third derivative of -w**5\/15 - w**4\/8 + 5*w**3\/6 - w**2. Let s(m) = -m**2 + 12 - 16 + 7 - 2 - m. Give a*s(t) + n(t).\nAnswer: -t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 8.76681 hours?\nAnswer: 0.36528375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 135790 is divided by 6439.\nAnswer: 571","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -3*z**2 - 552*z - 19866. Give t(-44).\nAnswer: -1386","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkv when three letters picked without replacement from vikik.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 38 - 11 = 6*q, 20 = 4*q + 4*n for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12663320.\nAnswer: 2, 5, 316583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -340224324 + -10?\nAnswer: -340224334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40680 divided by -339.\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1259 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 the common denominator of -59\/4 and (2\/(-24))\/(3\/(-606))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001968 to six decimal places.\nAnswer: -0.000197","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*i - 2*i + 7*i + (3 + 1 - 2)*(-5 + 4 + 0)*(-1 + 0 - 1)*(3*i - 2*i + 0*i) to o + r*i and give r.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -687 - 73*f + 4*f - 13 - 450 - 9*f**2.\nAnswer: -9*f**2 - 69*f - 1150","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-345)\/450 - 3\/(-18).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 4:59 AM?\nAnswer: 7:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2474912684?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.026977539 rounded to 6 dps?\nAnswer: -0.026978","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 256 a factor of 104256000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c + 5*a - 35, -2*a + 7 = c - 2. Suppose -c*y = -59 - 46. Find the third derivative of 8*i**6 - 25*i**6 + y*i**2 + 14*i**6 wrt i.\nAnswer: -360*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*h**4 - 1414*h**3 - 2*h**2 + 5437378 wrt h.\nAnswer: 12*h**3 - 4242*h**2 - 4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3 from 37249.\nAnswer: 37246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10 - o**2 + 401*o**3 + 11 + 111*o**3 - 24*o**3 - 3 to the form c + k*o**3 + z*o + h*o**2 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1358 - 10426 + 3312 - 8636)*(4 - 4 + 5*l**2) to i*l + j + t*l**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -92\/249 - -3\/83. Let u be ((-2)\/8)\/((-27)\/(-24)). Which is the second smallest value? (a) 1\/5 (b) m (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/6*15\/45.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.596281 seconds in microseconds?\nAnswer: 1596281","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 48503733 and 30684?\nAnswer: 7671","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y + 6*y**2 - 3*y**3 - 4*y - 7*y + 3*y**2.\nAnswer: -3*y*(y - 2)*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + -6. Suppose -4*d + 12 = -w. Let c be (-2 - (-1 - 1))\/2. Solve c = d*v + v - 12 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1953175, 3906348, 5859521, 7812694, 9765867, 11719040?\n\"Answer: 1953173*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 548.\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-240)*10 + 2\/(-4).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 621622 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*h - 14*h - 5*h**3)*(-2*h**2 - 2*h**2 + h**2) - 2*h**5 + 8*h**5 - 3*h**5.\nAnswer: 18*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 5*a)*(-a**2 - 2*a**3 + a**2) - 2*a**4 + a - a + (-a**2 - 2*a**3 + a**2)*(0*a - 2*a + 0*a) - 8*a + 2*a**4 + 8*a + 2*a**3.\nAnswer: 14*a**4 + 2*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21464\/3360 + 8448\/(-1320).\nAnswer: -1\/84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00014795 to 6 decimal places.\nAnswer: 0.000148","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 608083 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2606*h + 192482 - 54364 = 0 for h.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 370 divide 11921138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 364370 is divided by 537.\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 PM and 11:52 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 483684 and 816?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -21 - 10*(-20)\/800*94. Let 3\/2*h + 0 + 1\/2*h**3 + 1\/2*h**4 - z*h**2 = 0. What is h?\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from mmdmmdqmdq.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -237 - -247. Which is smaller: r or 11?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17.864 + -72.\nAnswer: -89.864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.035, 4, -2, -0.3 in descending order.\nAnswer: 4, 0.035, -0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 4*w + 12. Let y be m(11). Let o = y + -170\/3. Which is the third biggest value? (a) o (b) -38 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(7 - (-3144)\/(-448)). What is the highest common divisor of m and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 30 (b) 128 (c) -11961\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 412, 822, 1232, 1642, 2052?\nAnswer: 2462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 454, 9, -14\/15 in decreasing order.\nAnswer: 454, 9, -14\/15","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of -6*j**3 + 1\/2*j**2 + 313 + 130*j. What is the first derivative of c(x) wrt x?\nAnswer: -36*x + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17600 = 153*u - 193*u - 453*u - 211*u for u.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 552435348?\nAnswer: 2, 3, 46036279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1054, 2070, 2978, 3724, 4254, 4514, 4450?\nAnswer: 4008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 10 (b) -3 (c) -8004 (d) 7 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3659\/18 + -407\/2. Sort 3\/7, 1, u, 0.2, 9 in increasing order.\nAnswer: u, 0.2, 3\/7, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*k + 0 - 3*k - 1 + 9*k.\nAnswer: -3*k - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t + 16387 - 16387.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + 0. Let s(t) = 0 - 6 - t + v. Let h be s(-3). Which is smaller: h or 1\/6?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 240800 by -5.\nAnswer: -48160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 129738408 and 72.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3281 divided by -5?\nAnswer: 3281\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -88.0224 + 0.4?\nAnswer: -87.6224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17067\/5 + -3412. Let m = 1 - -3. Which is the smallest value? (a) 1 (b) 0 (c) m (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -315942, -631873, -947822, -1263789, -1579774?\n\"Answer: -9*q**2 - 315904*q - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.009855951972 to 6 dps.\nAnswer: -0.009856","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -11*i**2 - 9*i + 9. Let w(l) = -l**2 - l + 1. Suppose -3*r = -7*r - 72. Let n(p) = r*w(p) + 2*y(p). Let j(a) = a**2. What is j(n(g))?\nAnswer: 16*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of -h**4\/12 + 2*h**3\/3 + 2*h**2 + 33*h. Calculate i(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -l - q + 3, 3*q = -2*l + 8 + 1 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4068 (b) -5 (c) -3\/2 (d) 29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/(-12)*(-20)\/30)\/(504\/(-96)).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = l - 13, -6*l = -2*l - 4*n - 20. Suppose 2*m - 4*q = l*m + 8116, -3*m + q = 24296. Round m to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*i - 3\/2*i**5 + 3\/2*i**4 + 3\/2*i**3 - 3\/2*i**2 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sxsssgssxdgxxgnsdn. Give prob of picking 1 n, 1 d, and 1 s.\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -3 (b) -2\/3 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4561 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -1334*v + 252. List the prime factors of t(-41).\nAnswer: 2, 83, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 204641119?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -l**5 + 12*l**2 - 5*l**2 - 2*l**5 + 0*l**5 wrt l?\nAnswer: -180*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -78 bigger than -78?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 38608720379 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*x**3 + 1672*x - 2412*x + 740*x.\nAnswer: -14*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(231) + sqrt(231)*1)\/sqrt(11))\/(1*sqrt(847)).\nAnswer: 2*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2*(-6)\/4 - (-1 - 18). What is the remainder when 4 is divided by (1 - (-30)\/(-12))*j\/(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -220221 (base 3) in base 7?\nAnswer: -1651","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-3 + sqrt(32) + 1 + sqrt(32) + sqrt(32) + sqrt(32) - sqrt(32)) + -4)**2 - (2 + 4*(sqrt(2)*-2 - sqrt(2)) + -4)**2*-6.\nAnswer: -96*sqrt(2) + 2968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 59\/4 of a litre?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7\/4 + -17\/12. What is the biggest value in 3, -3, v?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 549121?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -267*g**2 + 16821*g - 36. Calculate s(63).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (0 - (17 - (13 + -11)))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**4 - 4*i**3 + 2*i**2 + 4*i - 3. Let y(t) = t**3 - t**2 - t + 1. Let r(n) = s(n) + 2*y(n). Factor r(l).\nAnswer: (l - 1)**3*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7107*i*n**4 + i*n**3 + i*n**2 - 37914*i + 115*n**4 + 1 wrt n?\nAnswer: -170568*i*n + 6*i + 2760*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 176 - 125. Let s = x - 11. Does 20 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6.7 + -7. Let n = 59 + -58.7. Which is the second biggest value? (a) n (b) u (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 141 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/44*1\/2)\/(2075*72\/47808)?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -208 + 199. Let l be (-3 - -4)\/1 - 18\/m. Solve 3*g = l, 3*g = -7*o + 4*o + 3 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*b + 9*b - 45. Suppose -3*u - 2*u + 100 = 0. Solve q - 5 = 4*h + b, -u = 4*h for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 - 2*j**2 + 5*j - 13. Let n be r(6). Which is the third smallest value? (a) -3 (b) n (c) 0 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -849069268*j**5 + 5*j - 12636957 wrt j?\nAnswer: -16981385360*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15557090?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and 257\/3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 440 = -6*f + 2*f, 2*s - 200 = -2*f. Suppose 111 = 2*y + s. Solve 2*i = -3*t - 10, -y*i + 4*t = -i - 4 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 plus -205?\nAnswer: -184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 62 + 14. Solve 8*w**2 - 13*w**3 + w**4 - b*w**2 - 6*w**4 + 33*w**3 + 20*w - 5 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 826 - 353. Let x = -291 + b. Is x a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the second derivative of 5\/12*k**4 - 4*k + 35*k**2 - 25\/2*k**3 + 0. Factor z(m).\nAnswer: 5*(m - 14)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the third derivative of -7*m**6\/120 + m**5\/60 - 10*m**2. Calculate v(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 - 23 - 15*g - 13*g + 7*g. Let r = 24 - 41. Does 16 divide j(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - 12012221200?\nAnswer: -12012221210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11485?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5756239279.929 + 4?\nAnswer: 5756239283.929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 28*k - 12. Let i be d(3). Suppose 0*r = r + 64. Let q = r + i. Is 8 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*a + 14*a + 2 = 0. What are the prime factors of (-24 + 33)*(428\/(-3))\/a?\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -276285916 + 276285856.9999955. Let w = c - -59. Round w to 5 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, k: 2}. What is prob of sequence ak?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3, 18, -4 in increasing order.\nAnswer: -4, -3, 1, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -256 - -276. Suppose 5*x - q = 0, -4*s - 6*x + 3*x = -16. Is -1\/737 < s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -x - 3*s + 6*s, 0 = 5*x + 5*s. Suppose x*z = 6*z - 2. Suppose -3*r + 3 = -0*r. Solve g = -z - r for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -0.46, 0, -51.1, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 1.3, 0.2, -6\/11, 1\/3?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1064, -2126, -3190, -4256?\nAnswer: -5324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7665 - -15926. List the prime factors of c.\nAnswer: 11, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95555738 is divided by 4550273.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 18*n - 36. Let c be (-33 + 3)*1 - -24. What is s(c)?\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -32 - (113 - 26 - 98).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/((f\/(f*(f*f\/f**(-7))\/f))\/f)*f\/(f*(f*f*f**(6\/13)\/f)\/f)*f)**(2\/61) assuming f is positive.\nAnswer: f**(274\/793)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -20523906 divided by -6841302\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.231901 centuries?\nAnswer: 23.1901","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2037060 less than 2037042?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - 0 - 2 - 4 - -1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -127\/255 + 5\/51. Put -2, d, 0.3, 1.7 in decreasing order.\nAnswer: 1.7, 0.3, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 a factor of 71743593?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4428.072 millennia to centuries.\nAnswer: 44280.72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -4*k + 11. Let n be g(2). Suppose -4*d - n*p + 45 = -2, -5*p - 71 = -4*d. Calculate the greatest common factor of d and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3 and 1.3457.\nAnswer: -1.6543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 96 and 4394976?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 210566481?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -1, -2\/11, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 AM and 9:43 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = l - 40. Calculate the remainder when 21 + 2 + 1 - -4 is divided by l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49815.11 nanograms to milligrams.\nAnswer: 0.04981511","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42984 is divided by 183.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -57220 rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*q = -184*q. Solve q = 3*n + 3*j - 3, -2*n + 2*j - 7 = -5 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 + 4*y + 7. Let u be i(-3). Suppose u*d - 36 = -3*s + 111, 0 = -d + 2*s + 23. 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: Let d = -163 + 189. What is the greatest common factor of d and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-q**2 + q**2 - q**3)*(377*q + 367*q - 705*q - 6) in the form z*q**3 + f + o*q**2 + g*q**4 + i*q and give g.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 + 9 = -5*q + a, 0 = -4*q + 3*a + 12 - 52 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 180650 is divided by 1390?\nAnswer: 1340","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -370.202 and 0.12.\nAnswer: -44.42424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2 - x - 6. Let v(w) = 32*w**2 - 14*w - 20. Give -3*l(f) + v(f).\nAnswer: 35*f**2 - 11*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -6*i**2 + 0 - 93*i**3 - 15 - 8*i + 92*i**3. Let y be x(-5). Solve 4*j - j - 3 = y for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 14 = 3*b + 12, 0 = -2*h - 2*b + 6 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 234 and 8775.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1748.752l in millilitres?\nAnswer: 1748752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -11*f - 8. Let k(n) = 6*n + 4. Determine 3*b(g) + 5*k(g).\nAnswer: -3*g - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.0996 and 0.005.\nAnswer: 0.1046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -167596 times 58\nAnswer: -9720568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -76*h**2 + 2*h + 169. Let u(q) = -61*q**2 + 2*q + 169. Calculate 4*o(p) - 5*u(p).\nAnswer: p**2 - 2*p - 169","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*a + 1568 = -32*a. Let y = a - 295. Calculate the remainder when y is divided by 46.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 - -1251?\nAnswer: 1253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2133424l to millilitres.\nAnswer: 213.3424","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2505 = -4*l + a, -2*l - 4*a = 2*l - 2480. Suppose -3*u + 3*o = 8*o - l, 5*u = 4*o + 980. What is the tens digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 3:59 PM?\nAnswer: 8:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18.6 - -18.3. What is the smallest value in 0, -3, y, 18?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -2 (c) 0 (d) 0.011 (e) 15 (f) 14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(325) + 4 + sqrt(325) + 0 + 2 + ((0 + 1 + sqrt(208) - (sqrt(208) + 0)*-6)*-3)**2.\nAnswer: 514*sqrt(13) + 91743","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -5*k**4\/4 + 205*k**3\/4 - 670*k**2 + 3245*k - 4200 = 0?\nAnswer: 2, 8, 10, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 20\/16 - (-2216)\/(-1824). Let n = -97\/57 + v. Let o = 13\/28 + 1\/28. Sort -0.2, o, n in increasing order.\nAnswer: n, -0.2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 3460 = y, 2*y - 914 - 470 = -2*i. Solve 698 = -6*h + i for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.6 - 0.1. Let j be 12\/15*(-5)\/(-200). Let h = j + 191\/450. Put i, -1\/7, h in decreasing order.\nAnswer: i, h, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of -14*z**3\/3 + 3*z**2\/2 - 5*z - 10. Let u(o) = -5*o**2 + o - 2. Give 4*a(b) - 11*u(b).\nAnswer: -b**2 + b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 270 - 1079\/4. Suppose -3*k + 2 = -4*g + 11, -k = -1. Which is the third biggest value? (a) d (b) g (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 160 = 5*q - q, 4*m - 184 = -4*q. Let y = 40 - m. Let o(u) = -4*u + 10. What is the least common multiple of 22 and o(y)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-27) + 384\/27 + -15\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1161 + -729. What is the highest common divisor of k and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 600 divided by 2\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 1 - 1 - y**3 + 5*y - 8 - 6*y**2. What is the units digit of p(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 43 (b) 5 (c) 0.0756\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -312 (base 7) to base 6\nAnswer: -420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 + -19. Let n = k - -3. Solve -2*c = -n*c - 4 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41623 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -4*z**3 + 2*z**2 + 9*z + 3. Let f(c) = 7*c**3 - 5*c**2 - 18*c - 5. Let g(n) = 3*f(n) + 5*h(n). Is g(7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 2:14 PM?\nAnswer: 7:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -218a417 + 3?\nAnswer: -218a414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*8*(-12)\/(-128).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of l**5\/20 + l**4\/12 - l**3\/3 - l**2\/2 + 8*l. What is m(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -19\/3 in 1, -0.02, 4, 2, 109?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in four thirds of a millennium?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -77 - -79. What is the third derivative of k**6 + 7*k**v + 12*k**2 + 0*k**6 + 2*k**6 wrt k?\nAnswer: 360*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times 4.7\nAnswer: 0.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1049*a**5 + 57*a + 191.\nAnswer: -20980*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -244411 - -4?\nAnswer: -244402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of -w**5\/15 + 2*w**2 - 7. Let l(z) = 5*z. Calculate y(l(i)).\nAnswer: -100*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21216 and 135966.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1)\/(-2))\/(3\/12). Let f(h) = -h**3 + 3*h**2 + 2*h - 2. What is the units digit of f(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrxrrxrnrnxcxxz. Give prob of sequence rnx.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31 divided by -193.\nAnswer: 31\/193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve d**2\/3 + 2814986*d\/3 + 1876656 = 0 for d.\nAnswer: -2814984, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 56 = 5*a, 3*n - 5*n - 46 = 5*a. Is a\/3*1557\/(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*d - 64 = 134. Let x be 1*(-60)\/d*-3. Solve -f - x = f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 53, -449108, 5 in descending order.\nAnswer: 53, 5, -449108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.8 + 0.4. Let w = n - -1.4. Sort w, -1, -0.5 in descending order.\nAnswer: w, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 33 + 4 + -1 + -2. Let r be z + (-9 - -5) + (-4)\/2. Let s = 64 - r. Is s a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert 1.20101mg to kilograms.\nAnswer: 0.00000120101","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100101011001011001010 (base 2) to base 7.\nAnswer: 13262435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*w**2 + 21 + 17*w**2 - 26*w**2)*(5 + 0 + 2).\nAnswer: 7*w**2 + 147","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 41923371?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*m**3 - 32*m**3 - 6*m**3.\nAnswer: -61*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (33\/(-9) + 3)*9. Let z(s) be the second derivative of s**3\/6 + 7*s**2\/2 - 3*s. Let h be z(g). Are 2\/5 and h nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 334 divide 2959240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -c + s, 4*s = -5*c + 2*s - 74. Let p be (-19)\/(-95) - c\/(-170). What is the second smallest value in 1\/3, -2\/5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*i - 1. Suppose 1 = 2*l - i. Does 3 divide 2 - (0 + (-1)\/l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvccccvbbkcbcyv. What is prob of picking 1 v, 2 y, and 1 b?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5742, 11312, 16512, 21156, 25058, 28032, 29892?\nAnswer: 30452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 28 + 135. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14.3 - -75.2. Let x = g - 60.901018. Round x to 4 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 + 6*b**2 - 4*b - 3. Let a be g(5). Suppose -a*p + 0*p = -10. Find the second derivative of -r**3 - p*r + 2*r**3 + 3*r wrt r.\nAnswer: 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (260\/104)\/(3\/(-8))*3\/(-4). Solve 5*j = -2*m + 10*j - 1, 5*m - 5*j = b for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vawauvvvvuvualvlluvu. Give prob of sequence ulw.\nAnswer: 1\/456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -306*s = -72*s + 3*s + 125*s. Which is bigger: 1160 or s?\nAnswer: 1160","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*i - 152686152 = 604381848. What is i rounded to the nearest one hundred thousand?\nAnswer: 16500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56185?\nAnswer: 5, 17, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1476*f**3*l**4 + 10446383*f**3*l**2 - 38*f*l**4 + 2*l**3 wrt l.\nAnswer: -35424*f**3*l - 912*f*l + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 134372615 divided by 2?\nAnswer: 134372615\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 + 11*y**2 + 2*y - 123. Let x be g(10). What is the remainder when (-1200)\/x + -12 + 2 + 6 is divided by 40?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + -2.98. Suppose -17*w + 151 = -8*w + 2*x, 3*x + 6 = 2*w. Which is the fourth smallest value? (a) -0.2 (b) -5\/2 (c) s (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (33 - 29)*2\/((-4)\/(-50)). Suppose -h + p = 5*o, -4*o + 53 = h - 28. Let a = o + -3. Solve a = 3*l - 7*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -640 divided by -6\nAnswer: 320\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 25.3 * 1.22\nAnswer: 30.866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 11203?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/4 (b) 0.4 (c) -2\/27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 1433*b + 14. List the prime factors of n(3).\nAnswer: 19, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 497030\/9 and 55226 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/12*10*(-18)\/60.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2445, -4953, -7461, -9969, -12477?\n\"Answer: -2508*q + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 142 + 922 = 2*a, 0 = -5*a - 5*x + 1965. Is 5 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.749588 rounded to three decimal places?\nAnswer: 0.75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1609 + 1564 - 3103 + 19*d to p*d + n and give n.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16 - -26. Calculate the remainder when 122 is divided by n.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 + 2 + -3 + (4 - (-15 + 24))?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 4, n: 4, v: 2, o: 1, j: 2, w: 7}. What is prob of sequence jwv?\nAnswer: 7\/1710","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*d**2 - 3*d**2 + 7*d**2 + d**2.\nAnswer: 5*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, -7 in ascending order.\nAnswer: -7, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -141*p - 4683 - 9135 for p.\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Do -1\/4 and 1.71 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (5 - (-15 + 7 + 10))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11 - 7*l**5 + 11 + 2*l**5 + 19*l wrt l?\nAnswer: -100*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*h*i**2 - 20*h - 243414*i**2 + 1568 with respect to i.\nAnswer: 4*h*i - 486828*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/12594223 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1936 + 1901 = 5*z for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 237.8 + -238. What is the biggest value in 1\/26, p, -0.1?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-3 - (-115)\/35). Let s(a) = -113*a - 22. Is s(u) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.386 and -0.073219561686.\nAnswer: -0.459219561686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p + 1 - 9 + 2 + 6*p**2 + p**3. Let u be l(-6). Suppose u*x + 5 = -5*h + x, -20 = 5*h - 4*x. Solve h = -5*t - 25 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from {i: 6, z: 11, a: 2}.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/56 and -131\/336.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(405) + 5 + -1 + sqrt(405) + sqrt(405) + sqrt(405) + (3 + sqrt(405)*2)**2.\nAnswer: 144*sqrt(5) + 1633","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q - 23. Let a be n(6). Let d = -3 - a. List the prime factors of d.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3181, -1\/6, -2\/11, 2\/9 in ascending order.\nAnswer: -2\/11, -1\/6, 2\/9, 0.3181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, 29, 216, 681, 1544, 2925, 4944, 7721?\nAnswer: 11376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-4)*8\/4. Let o be w + (-2 - (-3 - 3)). Solve -3*s + 0 = 4*p - 1, -o*p = 6 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 10*g**2 + 3*g + 4. Suppose 5*m = 4*r - 5, 0 = -5*r - 3*m - 2 - 1. Suppose 0 = -r*h - 3*h + 9. Let v be w(h). Round v to the nearest ten.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35296779?\nAnswer: 3, 7, 37, 45427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 2*c + 15 = -0*c, 3*c + 25 = 2*d. Suppose -u - 1125 = -2*s - 0*u, -s = d*u - 568. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10195070201069 + -7.\nAnswer: 10195070201062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1530 and 16.\nAnswer: 12240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**2 - 3*h + 2. Let i(l) be the second derivative of -l**5\/10 + 4*l**4\/3 - l**3\/6 + 3*l**2\/2 + 6*l. Let p be i(8). Calculate y(p).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6927834 divided by 6\nAnswer: 1154639","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-288)\/(-153) + ((-60)\/(-85))\/6. Are n and 916 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91*t**2 + 38*t**2 + 2*t + 41*t**2 - 2*t.\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 4*b = -11, -4*v - 3*b + 10 = -5*b for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144*n - 11 = -299 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of v**5\/60 + 5*v**4\/12 + 7*v**3\/6 - 6*v**2. Let i(s) = s**3 + s**2 + 6*s + 7. Let g be i(-2). Calculate u(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -20.65 to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 - 4) + (3*-4)\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -5*q - 30. Let m be z(-7). Suppose -2*u + 5*r + 29 = 0, 7*u - 2*u - m*r = 110. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -236 * 1\nAnswer: -236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -8*m + 87. Let o be x(10). Let f = 7 - o. Solve -8\/9*u**3 + f + 2\/9*u**2 + 0*u = 0.\nAnswer: 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4618, 9236, 13854?\nAnswer: 18472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-21189)\/(-86774))\/(84\/(-16)).\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 3*v = 0. Suppose -x - 3*x - 4 = v. Find the common denominator of -11\/12 and 2*x + (-2421)\/(-540).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -674, -675, -676?\nAnswer: -677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 46 and 125718?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 259 + 46. Let h be (-3 + 129)\/2 + 3. What is the remainder when q is divided by 55\/h + -1 + (-187)\/(-6)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -510*h**2. Let f(a) = 44*a**2. Determine f(v(o)).\nAnswer: 11444400*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 - i**2 - 7*i + 2. Is x(5) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 - 27*r - 50. Calculate i(-21).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2838 - 2841. What is the closest to 2\/5 in -3\/2, u, -47, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5336\/7 + -762. What is the smallest value in -0.03, p, -1\/507?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19031384.388 rounded to the nearest 1000000?\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -3*m - 5. Give g(-8).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, 6, 291 in descending order.\nAnswer: 291, 6, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/25 (b) 3\/2 (c) -1\/8 (d) 2\/231\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 618, -0.1, 0.4, -0.67?\nAnswer: -0.67","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 3 = 2*u. Let m be 0 + 3 + 3\/(-3). Does 10 divide 8\/m*(u + 8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 47.62 times -0.11\nAnswer: -5.2382","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*g + 10 = 31*g + 2*q, -g + 4*q = -8 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -32.\nAnswer: 5\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 PM and 6:40 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3609782?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {v: 2, b: 6, r: 4, w: 1, u: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3762017.33 rounded to the nearest ten thousand?\nAnswer: 3760000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143453 is divided by 212?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36 and 29427858.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (2 - -3) + -4 + -10.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 AM and 3:41 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 625 a factor of 62499621?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71126 is divided by 34027?\nAnswer: 3072","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 15 = -w. Suppose -9 - 6 = w*n. Let j = 0.04 - 0.34. Which is the nearest to -0.1? (a) n (b) j (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + 2. Let o be 4\/(-22) - (j - (-158)\/(-22)). Solve 4*b + 5 = -3*s, o*b - s + 6 = -3 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-18 - -13)*(0 + 0 + -2). Suppose 2 - 48 = -2*i - 2*z, 5*z - g = 0. Is 6\/i + (-5670)\/(-49) a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oxf when three letters picked without replacement from {s: 1, o: 2, x: 4, z: 1, f: 1}.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-3061)\/12980 + 8 + (-546)\/70 and -34\/1947.\nAnswer: 7788","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 4*a - 348 = 0, 4*w + a + 1797 = 9*w. Suppose 0 = 5*x + 5*q - w, -4*q - 23 = -x + 29. List the prime factors of x.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -1.85?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -80*x**2 - 34*x - 37. Let m(f) = -81*f**2 - 43*f - 36. What is 5*g(p) - 4*m(p)?\nAnswer: -76*p**2 + 2*p - 41","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 34063 and 92.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + 316. What is the remainder when 632 is divided by o?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 52780, 52781, 52782, 52783, 52784?\n\"Answer: b + 52779","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1646*t + 1649*t - 5*b - 8 = 15, 0 = -2*t - 3*b - 10 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of z**2 - 21. Let w(d) = 5*d. What is v(w(q))?\nAnswer: 10*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 2*b, 4*i + 5*b = 3*i - 12. Solve 3*l - 2*z = 19, i*l + 4*z - 3 = 4 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -38.72503066 to 3 dps.\nAnswer: -38.725","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3842735?\nAnswer: 5, 13, 59119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t, 1 q, and 1 b when four letters picked without replacement from {b: 1, q: 3, t: 4, c: 1, o: 2}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -2*w - 50. Let o be z(-23). What is the tens digit of -1*(o + 2 + -27)*11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18 - -21)*((-156)\/72 + 12\/4).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 5*j + 20 = 0, -2*t - 5*j = -t + 20. Let x(s) be the first derivative of -1\/18*s**4 + t*s + 0*s**3 - 2 + 0*s**2. Suppose x(h) = 0. Calculate h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -2*j**2 + 1. Let p(i) = -34*i**2 - 17*i - 71. Let k(l) = -3*n(l) - p(l). Is k(-9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of 4*w**3\/3 - 8*w - 16. What is the first derivative of x(p) wrt p?\nAnswer: 8*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(17) + -5*(sqrt(272))**2.\nAnswer: -1365 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -13a328a (base 11) in base 12?\nAnswer: -980069","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (220\/75)\/(24\/(-150)*40\/16)\nAnswer: -22\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m**2 + 26. Let r(o) = 10*o. What is r(d(k))?\nAnswer: 20*k**2 + 260","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the third derivative of 17*g**7\/105 + 139*g**4\/12 - 14*g**3 + 117*g**2. Let k(y) be the first derivative of u(y). Differentiate k(n) wrt n.\nAnswer: 408*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) -1271 (c) 18 (d) 4 (e) 22\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14805*t**2 - 7316*t**2 - 7462*t**2.\nAnswer: 27*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 1438471?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-27 + 1)\/2)\/(-1). Let y = c - 1. Let g(u) = -2*u - 10. What is the least common multiple of g(-6) and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 1539 = -p. Suppose -5*j - p = -2*g, 4*g - j + 2*j = 1037. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -3*c + 4. What is o(43)?\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -24be + -5?\nAnswer: -24c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k**2\/4 - 3147*k\/4 = 0.\nAnswer: -1049, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 111 - 111. Which is smaller: g or 2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 + 14*o**2 + 11*o - 15. Let g(c) = 5*c**2 - 61*c + 97. Let s be g(10). Determine i(s).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -86963 (base 13) to base 16\nAnswer: -3b648","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 - 0)*(3 + 1). Let f(h) = -c + 2*h + 4 - 11 - 12. What is the units digit of f(15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 225 is divided by 57?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -305 - 341. Let u = o - -644. Let w = 0.1 - 0.1. What is the biggest value in w, 3, u, 1\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -9379 - 132?\nAnswer: -9500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 3*t**2 + 129537*t - 48339390 = 0.\nAnswer: -43549, 370","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 377842?\nAnswer: 2, 17, 11113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z*z**5*z))\/(((z\/(z**(-8)*z))\/z)\/z))\/(z**(2\/5)*(z*z*z**(1\/7)*z)\/z) assuming z is positive.\nAnswer: z**(-509\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 157*g + 13817. Calculate p(-93).\nAnswer: -784","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 102320553 - -126?\nAnswer: 102320701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -0.1, 11, 0, 8\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23 + 28. Sort -5, 3, l in decreasing order.\nAnswer: l, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 92580, 92581, 92582, 92583, 92584?\nAnswer: 92585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 1*sqrt(5)*-5 + (sqrt(25)\/(sqrt(5)*-1) - sqrt(5)))**2.\nAnswer: 14*sqrt(5) + 246","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, -3, -4, 3.\nAnswer: -4, -3, -2, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1c5 + -21029a?\nAnswer: -2100c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -8*w**3 + w**2 - 28*w - 27. Let x(b) = -11*b**3 + 2*b**2 - 40*b - 40. Let n(h) = -7*f(h) + 5*x(h). What is n(-4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*g - 31*g - 30*g = 40. Sort 1\/4, g, -6, 15 in ascending order.\nAnswer: -6, 1\/4, g, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 + 6. Let s be r(0). Let o(j) = 3*j**2 + 5*j - 9. Let m be o(s). Suppose t = 4*t - m. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -66*c + 137*c - 74*c + 15 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 106301?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 1 - 4 = 0, -10 = -3*z + 4*b. Suppose 51 = -z*u + 13*u. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22 + 9. Let g = 26 + m. Is 2 + g + 2 + -4 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.149 - -12.149. Let f = 12.67364 - 0.67332. Let z = q - f. What is z rounded to four decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 25\/2 of a century?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 o when two letters picked without replacement from {i: 2, o: 1, a: 4}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 = -o + 38 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 0 - 16 = -10, -3*g = -v + 2 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -3*t**3 - 3*t**2 + t + 2. Is y(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 6) in base 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 74.29218 litres in millilitres?\nAnswer: 74292.18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22896 (base 14) to base 7.\nAnswer: -466646","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2177906449 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2403, 4803, 7205, 9609?\nAnswer: 12015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of -c**3\/3 + 2*c**2 - 4*c - 160. Let l(o) = -o**2 + 4*o - 1. Let n be l(3). Let v be b(n). Which is smaller: 8 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -227 - -239. Let w = 68 + -59. Calculate the remainder when w\/(-3) - (-3 - 35) is divided by s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of t**3\/6 + 5*t**2\/2 - 3*t. Let l be u(0). Let j(b) = b**3 - 3*b**2 - 6*b + 7. Is j(l) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, p: 4, y: 2, e: 5}. Give prob of sequence ypy.\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 703587?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -63057 and -20.\nAnswer: 1261140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -8\/53, 2\/3, -2\/201 in increasing order.\nAnswer: -8\/53, -2\/201, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2*(0 - (-2 - -4)). Suppose 5*k + 8*o - b*o + 30 = 0, -k = -3*o + 6. Let p(r) = r**2 + 7*r. Give p(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8 less than -193899383573?\nAnswer: -193899383572.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = 13*x + 51 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 155169766.\nAnswer: 2, 389, 199447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 3*y - 11. Let a(p) = p**2 - 4*p + 5. Let x be a(5). Let c be b(x). Solve -t + 2*i - 5 = 0, 2*t + c = 3*t + 4*i for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/54 (b) 0.3 (c) 2 (d) -2\/9 (e) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4225?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 + 26*s**2 - 201*s - 3975. Give m(-27).\nAnswer: 723","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 - v**2 - 17. What is c(0)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 29b0b8a - 1?\nAnswer: 29b0b89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 70 and 670733.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 526*p**3 + 940*p - 26*p**5 - 134*p**4 + 579*p**2 + 775*p**2 + 112 + 108*p**2 = 0.\nAnswer: -7, -1, -2\/13, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8812156 divided by -4406078?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 11*t + 270. Determine l(-24).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 302066 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4 - -3) + 4*3. Let n(z) = 3*z**2 - 16*z - 19. Let y be n(k). What is the greatest common divisor of y and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 3*o + 8*o = -11, 3*f + o - 81 = 0. Suppose -15*x + f = -19. What is the second smallest value in -5, -0.21, x, 3\/5?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*d - 4*d = 207. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(121)*-4)\/sqrt(11))**2*-4.\nAnswer: -704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1258485 and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-4 + (-3 - 1)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t + 111 = -6*t. Let u = t - 36. Solve 5*h - 4*j + u = 0, 2*h - 4*j - 2 = -3*j for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -438658 (base 16) to base 4\nAnswer: -100320121120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of -52*m**3 + 983. Let v(n) = 3*n**2. Determine v(p(g)).\nAnswer: 73008*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 46983 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6.3828 + -6.52. Let w = -0.8 - -0.95. Let n = w + j. What is n rounded to 3 dps?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9008921 to the power of 1\/5, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129 - 39 = 9*s. Let j be 102\/130 - (-1 + 14\/s). Is 0 less than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 17146, 17144, 17142, 17140, 17138, 17136?\n\"Answer: -2*a + 17148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 13*a + 1577. Let k be f(-9). Calculate the greatest common factor of k and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*b + 2*o, -5*b = -0*b + 4*o - 6. Let y be b - (80\/(-52))\/(-1). Is -1 > y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ozooooooocoozc. Give prob of sequence cc.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 149303414.0000022 + -149303470. Let l = d + 56. What is l rounded to five dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 66 = 2729. Let b = -375 - w. Is b a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -17 (b) 1 (c) 0.47 (d) -232\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36\/(-26) + 1331102\/(-39598).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of 3*v**7\/14 + 5*v**4\/6 - 5*v. Find the third derivative of m(n) wrt n.\nAnswer: 540*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -302883, -302881, -302877, -302871?\nAnswer: -302863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(6\/5)\/k)\/k*k)**(1\/6) assuming k is positive.\nAnswer: k**(1\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 2*i + 4807 = 0, 57*y - 4*i + 3848 = 61*y. Which is smaller: y or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 10*y**4 + y**3 - 2*y + 20*y**4 - 11*y**4 as s + r*y**2 + h*y + b*y**4 + z*y**3 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 + -5 - (42 + -37) - -249893 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20 + -19. Let x be (0 + l)*(-84)\/(-6). Suppose -x = -5*j + 46. What is the greatest common factor of j and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 9104419 and -0.3.\nAnswer: 9104418.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 + x**2 - x - 1. Suppose -4 = -2*v - 2*v. Let n(y) = -4*y**3 - 7*y**2 - y + 1. Let f(u) = v*n(u) + 3*h(u). Determine f(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (5 + 1)*(-18)\/130194. Which is greater: -1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + 20 + 48. What is the highest common divisor of 51 and u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -212 + 209. Let r(g) = 9*g**2 + 4. Let h(y) = 8*y**2 + 3. Let z(o) = v*r(o) + 4*h(o). Let i(k) = -18*k. What is i(z(f))?\nAnswer: -90*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, 3, -1924691.\nAnswer: -1924691, 3\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3234089?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 42 and 33?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange o**4 - 2*o**2 + 2*o**2 + (2 + 0 - 114*o - 54*o)*(0*o**3 - 4*o**3 + 0*o**3) to g*o + w + j*o**3 + z*o**2 + a*o**4 and give j.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31963184733 - -118.\nAnswer: -31963184615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -32. What is the remainder when v is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p + 3. Let m be i(-3). Solve -a = -m*a - 20 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90766595 is divided by 20.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 14799 (b) 3 (c) 1\/2 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 9:29 AM?\nAnswer: 10:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*m - 8*m + 24 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*1*sqrt(13) - sqrt(52)\/sqrt(16).\nAnswer: -3*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a gram in milligrams?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, g: 9, a: 1, l: 4, v: 2}. Give prob of sequence avm.\nAnswer: 1\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.21 + 0.79. Put 3, 4, w in descending order.\nAnswer: 4, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176)*-3 + sqrt(176))**2 + sqrt(11) - ((sqrt(539) - 1*sqrt(539)) + sqrt(11))**2.\nAnswer: sqrt(11) + 693","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from ppqqplpq?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -17*w + 226. Determine p(13).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 - 3*f**2 + 7*f + 43. Let b be z(-10). Let u = 2212 + b. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 197559a23 + 4?\nAnswer: 197559a27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2070 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 322 and 92.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -5*t. Let k be ((-8)\/10)\/((-4)\/10). Let x(f) = -3*f**2 + 6*f**k - 5*f**2. Calculate u(x(m)).\nAnswer: 10*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 12:01 AM?\nAnswer: 4:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/44922136 and -61\/56.\nAnswer: 44922136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16558.463583987 + 0.4.\nAnswer: 16558.863583987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 - 2*k - 8. Let h be t(6). Suppose 2*r = 3*o + 47, -o = 2*r + 2*o - 17. Calculate the greatest common factor of h and r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1081, -4319, -9717, -17275, -26993?\n\"Answer: -1080*j**2 + 2*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 25392770 by 9.\nAnswer: 25392770\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -13*z**3 + 21*z**2 + 3*z + 27. Let x(f) = -3*f**3 - f**2 + f + 1. Let h(p) = -n(p) + 4*x(p). Calculate h(25).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/2)\/((-12)\/(-16))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((6\/(-30))\/(-1))\/((-4)\/(-10)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-10) + (-2820)\/(-75). Calculate the highest common divisor of 95 and x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**3 - 448*c**2 - 5316*c - 11808.\nAnswer: 4*(c - 123)*(c + 3)*(c + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14 and 13223.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*y - 79 - 225 = 0. Let j be (-2)\/(-1) - (-39)\/y. Is j <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.32 - -0.377. Let v = o + 11.943. Sort v, -3\/2, 3 in descending order.\nAnswer: v, 3, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 0*g = 9. Let n = -1 - g. Let x(i) = 3*i. Is 4 a factor of x(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 + 48*o**2 + 162*o + 68. Does 24 divide m(50)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7786 = 2*s + 7772 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 + -52666166459.\nAnswer: -52666166460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7145 - 157191\/22. What is the closest to f in -0.4, -2, 1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18866553 to the nearest integer?\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2. Let c(f) = 82106252*f. Give c(a(y)).\nAnswer: 82106252*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (124\/93)\/(2*-2).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 16 - 1727134575232\nAnswer: -1727134575216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 - 7*g**2 - g + 9. Let j = 83 + -17. Let b = j - 73. What is w(b)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 312627283 to the power of 1\/3, to the nearest integer?\nAnswer: 679","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 60810*a. Let y(n) = -3*n**2. Give r(y(q)).\nAnswer: -182430*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1\/4)\/v)**(-2\/53)\/((v**(-1)\/v)\/v)**(-6\/29))\/((v**(1\/2))**25*v**(-1\/8)\/((v**(-2\/11)\/v*v)\/v)) assuming v is positive.\nAnswer: v**(-1911213\/135256)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -52 - -20. Let s be k\/(-120)*(-10)\/(-6). Let w be ((-4)\/12)\/(10\/6). Which is the second biggest value? (a) -1\/2 (b) s (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1169 + 1168.9. What is the fourth smallest value in 1\/4, 2\/3, 1\/6, j, -0.04?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 248\/45 + -46\/9. What is the biggest value in -0.4, 0.2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q + 8 + 127 = 0. Suppose 2*h - 5*y - 80 = 0, 5*h + 6*y = y + 235. What is the greatest common divisor of h and q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16880\/1214397 + 19818\/2287. Let c = i + -104\/59. What is the common denominator of c and -41\/19?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23 - 23.1. Let c = 0.2 - 0.3. What is the closest to i in c, -3, 4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-3)\/l**(1\/6)*(l*(l**(2\/9)*l)\/l)\/(l\/(l\/(l*l*l**(-1\/6)\/l))))\/(l**(-2\/3)*l*l\/(l*l\/(l**(-4)*l)))**(-4\/11) assuming l is positive.\nAnswer: l**(-37\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -g + 6, w - 6 = -0*g - 2*g. Let m be (-1)\/(((-2)\/(-3))\/(-2)). Find the second derivative of -u**5 - 2*u + m*u**2 - 3*u**w wrt u.\nAnswer: -20*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -164 - -165.4. Let u be (-4 - -9) + 203\/(-20). Let b = u - -19\/4. Is q at least as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -88 - -94. Suppose -4*o + p = -3*o + 27, -100 = 4*o - 2*p. Let f = -18 - o. Solve -3*h - 4*w = 0, -h + u*h = -5*w + f for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-10)\/4)\/((-2)\/4). Suppose u = -n + 5, -2*n + h*u + 12 = -5. Let f(i) be the second derivative of -i**3\/6 - 3*i**2 + 4317*i. What is f(n)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6 - -9)\/(3\/2). Suppose c = q*c - 3. Suppose -5*p = t - 2*p - 47, 0 = -5*t + c*p + 145. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 99 and 9473823.\nAnswer: 104212053","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 16586 + 341?\nAnswer: 17037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 46 - 95. What is the remainder when 3 + ((-4)\/4 - u) is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 w when two letters picked without replacement from {v: 4, f: 1, w: 2, g: 8}.\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-8 + 5)*7\/((-126)\/120) and 24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*s + 180 = 84*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 + -12. Suppose 4*c - 7 = m. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddmddmddmdddmdmd. What is prob of sequence mmm?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2*c**2 - 3*c + 4. Let f(h) be the second derivative of h**4\/6 - 2*h**3\/3 + 5*h**2\/2 + 11*h. Let l = 178 - 174. Determine l*n(j) - 3*f(j).\nAnswer: 2*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -13711*v - 1028324. Give f(-75).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3*(-115)\/15*3. Is 11 a factor of (g - -7)\/(1 - 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5\/6, -29, 5, -7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - 2. Let w = u + 0.5. Let k = w - 1.3. Round k to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + -11212?\nAnswer: -11202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/5 - 17\/(-5). Suppose -w*z + 0*z = 8. Let r be 2\/(-4) + z\/12. Which is smaller: r or 0?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 125105054700 - 0.4\nAnswer: 125105054699.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 3 = -2*q, -170*q + 173*q + 2 = -h + 5 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 5:15 AM?\nAnswer: 11:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 33*n - 3\/2*n**2 - 108.\nAnswer: -3*(n - 18)*(n - 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -44199 - -75506. Is k 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 7*c**2 - 997*c**6 + 972*c**6 + 8*c**2 wrt c?\nAnswer: -3000*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -12775, -12474, -12187, -11920, -11679, -11470?\n\"Answer: -a**3 - a**2 + 311*a - 13084","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18 + 23. Suppose i*b + 4*z = 25, 0*z + 5 = b + 2*z. Find u such that -u + 13*u + 16*u**4 - 3*u**b - 16*u**2 - 8*u**3 - u**5 = 0.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 208199110 and 175?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -915670 rounded to the nearest 10000?\nAnswer: -920000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -2*u**2. Let r(n) = 10*n**2 - 26*n**2 + 8*n**2 - 23*n**2. What is l(r(o))?\nAnswer: -1922*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 24 = -4*m - 4, y = -5*m + 25. Suppose -2*x - 63 = -h - 0*x, h - 4*x - 69 = y. Let w = h - 61. Let z(q) = q**2 + 5*q + 3. Give z(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2997 is divided by 1453.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 25014 and 704.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-6715)\/34 + -7)*-10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -199*p**3 + 10*p + 150*p**3 - 2*p + 2 - 8*p to the form d*p**3 + q + s*p + m*p**2 and give d.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 7\/2 of a centimeter?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -916, -0.00038, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11782)\/(-2365) - (4\/22 + 0)?\nAnswer: 24\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t**5 - 3*t**5 - t**5 + ((-33*t + 16 - 16)*(6*t - 4*t - 4*t) + (-3*t + 5*t - t)*(-4*t + 5*t + t) + t**2 - 2*t**2 + 0*t**2)*(-t**3 + t**3 + 2*t**3).\nAnswer: 132*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 + 2*d)*((3*d**2 - 5*d**2 + 3*d**2)*(d - d - 2*d) - 2*d**3 + 6*d**3 + 5*d**3 + 0 + 2*d**3 + 0 - 1 + d**3 + 1).\nAnswer: 20*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/((-5)\/(-2) + -4). Let i(t) = -t**3 + t**2 - t. Let x be i(u). Let k = 2 + x. Sort k, 2, 0 in decreasing order.\nAnswer: 2, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 a when three letters picked without replacement from aapadpaeppa.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1790?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 762 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7632 - 7550. What is the remainder when 318 is divided by y?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/28)\/((-110)\/88)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.03? (a) -154835 (b) -2\/5 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-180) - 0)\/(15827\/(-6664) - (-14)\/8)?\nAnswer: -4\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 2 + 5)*(3 + h - 3) + (2 + 3 - 4)*(2*h + 4*h - 7*h) to the form z*h + q and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*s + 26 - 26 + (2 + 2 - 2)*(-2*s - 2*s + 6*s) + 2*s - 5*s + s + s - 2 + 2 + (-s + 3*s + s)*(-3 - 3 + 5) to the form y + o*s and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 619480098?\nAnswer: 2, 3, 34415561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2 - 2*g + 3. Let c be p(-3). Differentiate 3*u + 3 + 0*u + c*u + 0*u with respect to u.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 2 + 10. Let k(d) = 3*d + d**3 - 5*d**2 - 4 - a + 9. Let p(q) = -q + 3. Let s be p(0). What is k(s)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 10*j = 2*i - 949, -3*i = -4*j - 1420. Let k = 483 - i. Suppose 2*y - 12 = -y. Calculate the lowest common multiple of y and k.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 PM and 10:17 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2 + p - 2. Let u be 770\/(-50) - (-4)\/10. Let a be (-6)\/8 + u\/(-20). Calculate k(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/(sqrt(243)*3) + (1 + sqrt(7) + 3 - (sqrt(7) + sqrt(21)\/sqrt(3) + 4)).\nAnswer: -26*sqrt(7)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 + 2*r + (1 - 4 + 5)*(4*r - 4*r + r) - 102 + 102 - 21*r + (-1 + 2 + 1)*(3*r - r - 7 + 0*r).\nAnswer: -13*r - 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 4:00 AM?\nAnswer: 3:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of d**8\/112 + d**4\/6 + 3*d**2\/2 + 4. Let b(h) be the second derivative of r(h). What is the second derivative of b(z) wrt z?\nAnswer: 60*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 + 9*p**2 + 2*p - 10. Calculate l(9).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.25 - 0.2. Let j = 0.25 + -0.2. Let i = j - o. Which is the second biggest value? (a) 1\/10 (b) 1\/4 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.9 - 24506889?\nAnswer: -24506894.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f + 4*s + 20, -2*s + 8 = -4*f - 3*s. Which is the third biggest value? (a) -2\/7 (b) f (c) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4566, 4, -2.\nAnswer: -4, -2, 4, 4566","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 15.5. What is u rounded to 0 decimal places?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24 + 32 + -33 + 21?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -5 + 10 + k**2 - 6*k**2. Let o be ((-8)\/(-12) + 0)*-6. Let m(x) = x**2 - 1. Let p(h) = 4*h - 22. Let z be p(0). Give o*t(r) + z*m(r).\nAnswer: -2*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6 and -0.15299?\nAnswer: -0.91794","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n + n - 120. Suppose b = v - 11, 4*b = 3*v - v - 20. Suppose -n = -r + v. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 - 5*y. Let o be j(4). Let w be (-2)\/(-6)*18\/o. Is w equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 26972?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1301968?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 4*m - 530, -2*c + 4*m + 554 = -0*c. What is the hundreds digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -2*l - 295. Give n(90).\nAnswer: -475","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72170 is divided by 784?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 16\/((432\/30)\/18)*(-6)\/30*4\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*f + 4*w - 21 - 15, -2*f = 3*w - 22 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 + 7*x**2 - 8*x + 3. Let m be l(6). Let q(s) = -s. Let k be q(m). List the prime factors of ((-3)\/(-2))\/(k\/24).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 r when three letters picked without replacement from rreererererr.\nAnswer: 21\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -80298*c**5 + 95489*c**2 wrt c.\nAnswer: -4817880*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 805 - 476. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-3*4*(-4 + -1*(sqrt(1584) + (sqrt(1584) - (1 + sqrt(1584))))*5))**2*-1.\nAnswer: -22810176 + 69120*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1552 - -1551. Put 5, 0, -195, 12, v in decreasing order.\nAnswer: 12, 5, 0, v, -195","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 times -8?\nAnswer: -240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 104 (b) 1 (c) -736\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 + 5*v + 3. Let b be y(-5). Is 17\/(-51) + 8332\/9*b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -41 (base 16) to base 12\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (5 + -7)*(-185)\/10. Suppose 29*w - 356 + u = 0. Solve 4*v - 5*o - w = 0, 2 = v - 3*o - 6 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133 a factor of 70172?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + -6. Let r = 113.8 - 108. Let k = 6.8 - r. What is the smallest value in p, 1\/3, k?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = -2*o - 10. Put o, 5, 0 in ascending order.\nAnswer: o, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 9*m**4 + 339*m**3 - 471*m**2 - 111*m + 234 = 0.\nAnswer: -39, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 72 = 9*t. Solve 2*z + t = 3*m, -2*m + 9 = -4*z - 11 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 47 = 3*v + 64, 0 = w + 3*v - 7. Solve -w*l + 28 = 12 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 14) to base 15.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*n + 135*n - 8 = 67*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 507.924 rounded to 0 decimal places?\nAnswer: 508","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 1\/3 (c) 0.01651 (d) -2\/11 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3855 to the power of 1\/4, 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 (2805\/20)\/(-11)*-112 - -6?\nAnswer: 2, 3, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*u - 8 = -28*u, v + u = -9 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 65516 by 11.\nAnswer: 5956","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 590 and 58174.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 765 is divided by 55.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -10*z + 13*z. Factor 0*h**2 + 3\/2*h**4 + 0*h**z + 0*h + 0.\nAnswer: 3*h**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 812267 to the power of 1\/4, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5839 - 5843. Sort u, -2\/5, 0.5, 4 in decreasing order.\nAnswer: 4, 0.5, -2\/5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1565, -6789, -15675, -28223, -44433?\nAnswer: -64305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -200*b. Let a(o) = -4964*o. Calculate z(a(r)).\nAnswer: 992800*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30 (base 8) to base 14.\nAnswer: -1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -2*g**2\/11 + 81856*g\/11 - 837550592\/11 = 0.\nAnswer: 20464","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -1224*(-1)\/2*(-700)\/(-40) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 146244090 to the nearest 100000.\nAnswer: 146200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(10*-2*(-4)\/(-32))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87881.\nAnswer: 87881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2573 + 3746. Does 23 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -15 (b) 0 (c) 5 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26500320?\nAnswer: 2, 3, 5, 7, 11, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 + 2. Suppose 2*m - 8 = 4*k, -m + 0*m = 2*k - 4. What are the prime factors of o(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a - 2*a + 0*a. Let o(k) be the first derivative of -2*k**3\/3 - 7. What is o(x(b))?\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of -4\/21*o**3 + 0*o + 1\/30*o**5 - o**2 + 0 - 1\/7*o**4. Factor i(a).\nAnswer: 2*(a - 2)*(7*a + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0843 and -0.085?\nAnswer: -0.0071655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of x**3\/2 - 9*x**2\/16 + 1185. Factor n(a).\nAnswer: 3*a*(4*a - 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.915161 to two decimal places.\nAnswer: 9.92","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/15, -28293, 1\/7, 0.044 in increasing order.\nAnswer: -28293, 0.044, 2\/15, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r = 14*r - 6. What is the remainder when r is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of -o**5\/60 - o**4\/4 - o**3\/3 + 31*o**2. Give g(-7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * 0.154.\nAnswer: 0.0154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/13 (b) 0.3 (c) -49 (d) 0.1 (e) -44\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -215 - -220. Suppose w*i + 9 - 3 = -p, -4*i - 16 = -2*p. Let x(b) = b**3 + 4*b + 3. Calculate x(i).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11683?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -50636?\nAnswer: -3\/50636","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 + (23 - (-6 + 37 - -4))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 85 - 87. What is the common denominator of 49\/15 and x\/3*(-308)\/(-126)?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 200106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-2)*(12\/30)\/(192\/(-120))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -212.387 - -211.5. Round t to 0 decimal places.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 4 = -2*s. Let g be 1\/((-15)\/(-6) - s). Let m(r) = r - g + 2. Let i(c) = 5*c. Give m(i(k)).\nAnswer: 5*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7982 is divided by 153?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -52.548 - -0.848. Let i = 53.7 + f. Let k = -1.1 - -0.1. Which is the fourth smallest value? (a) k (b) -0.2 (c) 0.5 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 25.93327409688 and 16.7.\nAnswer: 42.63327409688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 55 + 8\/(0 - -4). Suppose 13 = 5*h - u. What are the prime factors of h?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 163957 is divided by 59?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (3 - (-3 - (5 - -2)))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -a**4*s**2 - 299*a**3*s**2 - 32*a*s**2 + a*s - 9*s wrt a?\nAnswer: -12*a**2*s**2 - 1794*a*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((14\/(-3))\/(60\/35505))\/(6\/8). Is d smaller than -3683?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 - 9*o + 12. Let l be h(-10). Is l\/(-1)*245\/(-10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -356 + 613. Is w\/7 + (-2)\/(-7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-32)\/48 - 688\/(-6). Suppose 6*v - 8*v = -l. Calculate the highest common factor of 38 and v.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1051?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23138 is divided by 4602?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3039047?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22 - 21.7. Suppose 0 = -5*h + 5*i, -h - 4*i = -3*i - 10. What is the closest to -1\/2 in h, d, -3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 15) in base 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 115068211 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of -h**7\/35 - 2*h**6\/15 - 7*h**5\/30 - h**4\/6 + 6*h**2. Determine n, given that b(n) = 0.\nAnswer: -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 - 9 - (23 - 2).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i**4\/7 + 102024*i**3\/7 - 612072*i**2\/7 + 1224096*i\/7 - 816048\/7 = 0. What is i?\nAnswer: 2, 34002","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 6*a**2 - 7*a - 15. Let q be k(-3). Let x = 65 + q. Suppose -c = -3*j + 3*c + 198, -2*j = -5*c - x. What is the tens digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7691 is divided by 229?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 3*o**3 + 6*o**2 + 2477*o - 17191. Calculate f(7).\nAnswer: 1471","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14 - -24. Solve 0 = 5*c + 4*d + 40 - g, 0 = -2*c + 5*d + 21 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is b + 4a1?\nAnswer: 4ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nucu when four letters picked without replacement from ucuulnn.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6 and -172027?\nAnswer: -1032162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3815749 not equal to 7631499\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 4*j + 2. Let f be 18\/(-27) + (-8)\/(-3). Calculate the least common multiple of 10 and d(f).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 12 + 6 + (1 - 4 + 2)*(2 - 3 - 1) - 2 + 3 - 2 - 3 - 2 + 4 - 3 + 3 + 1)*(1 + 1 + 4)*(-2 - 2 - 4)*(-1 + 1 + 2*n).\nAnswer: -1920*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-one fifths of a kilogram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 521646*u**4 + 16*u**3 + 104995178*u.\nAnswer: 6259752*u**2 + 96*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-62060)\/10165)\/((-8)\/76)\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/(-60)*-93*(10 - 0). Find the common denominator of 31\/j - (-154)\/(-192) and -111\/80.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.31+0.0194872\nAnswer: -0.2905128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(12)\/(sqrt(4) + sqrt(44)\/(sqrt(11)*-3))*-3.\nAnswer: -18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3 - -21)\/(0 + -2). Let a = l + 16. What is the third derivative of -r**2 - a*r**3 - 4*r**2 + 2*r**3 + 16*r**2 wrt r?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15 + 17. Suppose -q*l - 40 = 2*l. What are the prime factors of (-4)\/l - (-1624)\/40?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 + 24*q**2 + 63*q + 423. What is j(27)?\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: 15\/(-20) + 5\/12\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -59986.3 to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve r**4\/3 - 5337*r**3 - 128161*r**2\/3 + 48057*r = 0.\nAnswer: -9, 0, 1, 16019","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 95083379 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -3203 (base 5) in base 13?\nAnswer: -26c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-4 - 1) + 4 + 4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 7*v + 32. Let w be ((-4)\/v)\/((-1)\/2). Let p be 5 + 13*w\/3. Which is the third biggest value? (a) 1\/4 (b) -0.1 (c) p (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-9) - (2 + -2)) + (-6536)\/(-1368)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h - h + 0*h)*(3*h + h - 5*h)*(-2 + 1 + 2 + (-2 - 2 + 2)*(-3 + 0 + 5)).\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*2*(0 + 1*sqrt(3))*-3 + ((5 + sqrt(108)*-1)*1)**2.\nAnswer: -42*sqrt(3) + 133","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes before 8:31 AM?\nAnswer: 4:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -111\/5030 and -105\/7109402.\nAnswer: 35547010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2 - 11*g + 22609. Calculate f(146).\nAnswer: -313","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -492*k**2*l**2 + 133759*k + 118829570*l**2 wrt k.\nAnswer: -984*k*l**2 + 133759","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.052 to 1 decimal place.\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -312\/7 - -45. Let r = -0.2 + 1.2. Let j = r + 3. Which is the nearest to 0? (a) j (b) 1\/3 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that u**2 - 11892*u + 2636516 = 0.\nAnswer: 226, 11666","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(209)*-1*-6 + sqrt(209) + sqrt(209))\/(sqrt(99)*1))**2.\nAnswer: 1216\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * -792.17.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1651, 1637, 1623, 1609, 1595, 1581?\nAnswer: 1567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 60 + (62 - 70) + 5 + (3 + -4 - 0)\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15690 - 15691. Which is the nearest to l? (a) 5 (b) 3 (c) 309\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -77 - -120. Let z = 42.961 - q. Let n = -0.021 + z. Which is the smallest value? (a) 0.5 (b) 5 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 268 + 564. What are the prime factors of v?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 10:03 PM?\nAnswer: 10:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 5046*p - 2737*p + 4877*p - 3502*p + 6369*p as x*p + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 35*l - 1031. Calculate the remainder when 735 is divided by o(30).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 435*s = 16912 + 5746 + 7792 for s.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -318, -1, -33, 3 in ascending order.\nAnswer: -318, -33, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 539?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -415*b + 5220. What is the remainder when 6238 is divided by n(12)?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80841429 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 PM and 1:52 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4049059?\nAnswer: 7, 71, 8147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -180*q + 64 - 171*q + 88 - 42*q + 76*q with respect to q.\nAnswer: -317","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112*w = 196*w - 1241268. List the prime factors of w.\nAnswer: 7, 2111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -187\/2398578 and 64\/37191.\nAnswer: 184690506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-5\/4)\/w**(4\/3)*(w\/w**(-7\/5)*w)**(-3\/16) assuming w is positive.\nAnswer: w**(-773\/240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 4*f = 2*p - 15, 0 = 3*f - 9. Suppose w + 4 = 0, -2*w - p = -s + 5. Is 58\/s*(-1 + 0) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -9*c + 2. Give k(2).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -53*n - 224. Let s be b(-4). Let x(q) = -q**2 + q + 3. Let i be x(3). What is the remainder when 47 is divided by i*(-14)\/s*-2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, -3\/8, 3, 93\/83, -5, -2, 0.2?\nAnswer: 93\/83","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (4 - 4) + 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29711515.\nAnswer: 5, 23, 29, 59, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6225107\/57520 - -4329\/40. Let v = 161289\/2680432 + p. Let z = -8076\/2563 + v. What is the common denominator of 35 and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of 2*r**3\/3 + 2*r**2 + 2*r + 5. Factor u(z).\nAnswer: 2*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 488129 is divided by 81245?\nAnswer: 659","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31395 is divided by 25.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 n when two letters picked without replacement from {l: 1, t: 3, n: 12, c: 4}?\nAnswer: 24\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*h - 4*u - 25, 274*h - 4*u - 26 = 276*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -156*t + 2. Let c(p) = -183*p + 1. What is o(c(h))?\nAnswer: 28548*h - 154","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 440\/(-198) - 6\/(-3)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 338 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/51280 and 59\/96.\nAnswer: 307680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2597*n + 2600*n = -3*r - 60, 0 = n - 3*r for n.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3167 (b) -3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 116960 and 830330.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(25)\/sqrt(5) + 3)*-2 - (-6*3*sqrt(5))**2*3.\nAnswer: -4866 - 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)*-4 + 2)*5 + 0.\nAnswer: -40*sqrt(17) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.6 + -0.3. Let i = z - -2. Let v = -6 - -6. What is the closest to v in 0.4, -2\/17, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 2*a + 380 = 0, -3*p - 2*a = 329 + 243. Let z = -79 + -113. Is p > z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1699 + 4067. Calculate the greatest common divisor of 185 and c.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7963912 is divided by 1990971?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -311718*z + 311718*z - 3*z**2.\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 + a + 1. Let v = 1 - 3. Let c be o(v). Let f = -45 - -45. Solve c = k - 6*k - 3*q, f = -2*k + q + 1 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/5 in -2.48, 0.8, 4, 0.9?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 p when two letters picked without replacement from pppjpjppjp.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -123636 + -13?\nAnswer: -123651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add -69801381 and -1390.\nAnswer: -69802771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 + 2. Let l = i - -1. Is 2 a factor of l\/(-6)*12\/1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1456?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 0.1 (b) 313\/9 (c) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 380*y + 32. Let s(l) = -2*l - 1. Let v(o) = -f(o) - 2*s(o). List the prime factors of v(-1).\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.17902432 to four decimal places.\nAnswer: 0.179","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25543)\/(-164) - 65 - 26\/(-8).\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*g + 5*k - 15, 14*g - 6*k + 334 = 10*g + 336 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2647, -2652, -2657?\n\"Answer: -5*q - 2642","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -904 or -905?\nAnswer: -905","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2 - 7*o + 4. Let q be a(4). Let x = q - -13. Suppose -4*t + 9 + x = 3*u, 4*u - 32 = -2*t. Is 10 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.7, 1\/2, 0.1 in descending order.\nAnswer: 1\/2, 0.1, -1.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 - (-37 - -24) - (-153 - -12 - -2)?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of 0 + t - 1\/3*t**2 + 1\/18*t**4 + 1\/60*t**5 - 1\/18*t**3. Find i, given that y(i) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 5) to base 13\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 295035504 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h**(-8)*h*h)\/h)\/h**3)\/(h**(1\/2))**(-24))**9 assuming h is positive.\nAnswer: h**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 203 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 take away 0.03?\nAnswer: -10.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-354)\/(-59)*(-1)\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*d - 56 + 35 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 8 = -0. Let u = 8 - j. Suppose -u*v + 4 = -0*v + d, -2*d = -3*v + 14. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z - 4 = -2*z. Let o = z - -9. Differentiate -10 + 5 + o + 2*q**4 wrt q.\nAnswer: 8*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((12\/(-15))\/(4\/10))\/(((-2048)\/(-648))\/(-128)).\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -12.491592247 to the nearest integer.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(54\/(-4))*(-42)\/14.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37476 is divided by 76.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -3*p + 1. Let k(m) = -79*m + 2 + 0 + 74*m. Let y(o) = 7*h(o) - 5*k(o). What is y(5)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 12 = -5*l, 0*l - 3*l + 12 = -3*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9766959667 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 102617697 a multiple of 1357?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 14 - -2332?\nAnswer: 2350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum 169 and 757.974.\nAnswer: 926.974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3056*g**3 - 39*g**2 + 13*g + 8915880.\nAnswer: 9168*g**2 - 78*g + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 265801597?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, n: 19}. Give prob of sequence nn.\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*p**3*z - 14164077*p**3 + 455*p*z - 1346*z + 35 wrt p?\nAnswer: -48*p*z - 84984462*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 908.8927um to nanometers.\nAnswer: 908892.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1432285170?\nAnswer: 2, 3, 5, 19, 37, 113, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 4 = o - 4*d, 2*o + d + 10 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/3 - 233\/3. Let a = 104 - c. Suppose 5*g + 56 = a. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 39 and 28124772.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 6881*u + 6950*u + 2 + (2 + 1 - 4)*(3*u + 0*u - 2*u) as j*u + h and give j.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 + -1)\/(2\/(-4)). What are the prime factors of ((-76)\/h)\/(3\/(-6))?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/21 - 2\/(-7). Let u = -1.62 - -1.52. What is the closest to u in v, 0.4, -1\/4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 8*z**2 + 25*z + 70. Let i(n) = 7*n**2 + 26*n + 71. Let r(f) = -4*g(f) + 5*i(f). Factor r(q).\nAnswer: 3*(q + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -2 + (sqrt(114) + ((sqrt(114)*3 - sqrt(114))*-5 - sqrt(114)))\/(sqrt(54)*-1))**2.\nAnswer: -80*sqrt(19)\/3 + 2044\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s**3 - 45*s**2 - 1366*s - 1320 = 0. Calculate s.\nAnswer: -20, -1, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 32 = 7. Suppose -b*h - 69 = -5*m + 86, m + 5*h = 37. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_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: List the prime factors of 109759.\nAnswer: 13, 8443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (18\/21)\/(5\/(-7))*(-40 - -25)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + g = 30, -4*l + 2 + 30 = 4*g. Let z = 16 - l. Is ((-6)\/(-5))\/(2\/z) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -3*z - 15. Let y be d(-6). Suppose 4*b - 2*p = 2*b + 16, -2*p = y*b - 29. Solve 5*t = b - 14 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/4*g**3 + 0*g + 3\/8*g**2 - 1\/8.\nAnswer: -(g - 1)**2*(2*g + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g - 9 = 31. Solve -5*w - 16 = 2*d, -g*d - 2*w = w + 4 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 979 divided by -1\nAnswer: -979","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15604919 and 596?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 + 1)*(-3 - 3 + 4)*(19*t**4 + 6*t**4 - 63*t**4) to j*t + b*t**4 + y*t**3 + k + q*t**2 and give b.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 30171342?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -278*f*o**3 + 32*f*o + 568*f - 444068*o**4 + 397*o - 1 wrt o?\nAnswer: -1668*f*o - 5328816*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b + 35. Determine s(-18).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16225 = -41*n + 18953. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + f - 20 = -5*v, 0 = 3*f - 12 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 33\/12 + 1*(-6)\/8. Let a(j) = 0 + 2*j**2 + 4 - 149*j + 160*j + n. Let w be a(-5). Let b(u) = -3*u + 1. Determine b(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 167 - 162. Suppose -9 + 19 = s*j. Solve -5*n = -5*x - 7*n + 30, j*n = 3*x - 2 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**5 - 9*y**4 + 49*y**3 - 39*y**2.\nAnswer: -y**2*(y - 3)*(y - 1)*(y + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*-1 - 6\/(-3). Suppose 5*i = m - 31. Let a = i + 11. Solve 0*k = 2*k + a*l - 28, -4 = k - 2*l for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 649220.8km?\nAnswer: 649220800000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 23273.6 * -4.\nAnswer: -93094.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -606 + 2304. What is the tens digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15730 divided by -2?\nAnswer: -7865","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2471006776.\nAnswer: 2, 7, 31, 1423391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -151, 206, -60, 2 in decreasing order.\nAnswer: 206, 2, 1, -60, -151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1\/39799?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1038957186 is divided by 309?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3.31 in -5, -26.38, -10?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 - 3*w + 2. Determine p(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 7355?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 16 = -4*p - k, 5*k - 11 = 3*p. Let n be 1\/2 - 27\/(-2). Suppose 3*d + n = 4*d. Solve -d = p*f - 5 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*i**2 - 11*i**3 - 7*i**3 - 28*i**3 - 1 - 4*i**2 wrt i.\nAnswer: -276","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 + 33*y**2 - 34*y + 63. Determine i(32).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-432)\/15)\/(1\/(-5))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 19*d**2. Let z(s) = 5*s. Determine b(z(q)).\nAnswer: 475*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 98589 to the power of 1\/3, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -4 - ((-5 - 40 - -53) + 1 + -17)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1039166*j**2 - 519501*j**2 - 519637*j**2.\nAnswer: 28*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 n when two letters picked without replacement from {x: 2, n: 5, y: 2, e: 3}.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 - 13*s**2 + 15*s - 2. Let m be (54\/(-24))\/(3\/(-16)). Is z(m) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 284, 524, 748, 950, 1124, 1264, 1364?\nAnswer: 1418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 3*i**2 + 4*i - 2. Let g(s) = -s**2 - s + 1. Suppose -4*h + 3*h + 1 = 0. Give h*j(a) + 4*g(a).\nAnswer: -a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/1044 and -137\/3480.\nAnswer: 10440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 676295606 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3\/2 - 337*k**2 - 63271*k\/2 - 91887.\nAnswer: -(k + 3)*(k + 109)*(k + 562)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**2 + 314655*y + 5033200.\nAnswer: 5*(y + 16)*(y + 62915)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10\/489 or 1?\nAnswer: 10\/489","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 11543 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 - 10436.\nAnswer: -10435.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 5*r**3 + r**2 - 7*r - 7. Let a be p(-1). Let c(w) = w**3 + 4*w**2 + 5. Calculate c(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 2*i - 3 + 27 = 0, 0 = -5*l + 4*i + 33 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -79827 divided by 451.\nAnswer: -177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2454317 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98502?\nAnswer: 2, 3, 16417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 124*p**2 - 92*p**2 - 30*p**2. Let u(s) be the third derivative of -19*s**5\/10 + 3*s**2. What is d(u(l))?\nAnswer: 25992*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/((b*b\/(b\/(b**(-5)*b))*b)\/b*b)*b**3*(b\/(b\/(b**(-1)*b))*b)\/b**1*((b*b**(2\/9))\/(b*b**6))\/(b**1*b)**(-3\/4) assuming b is positive.\nAnswer: b**(31\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 227104 and 13040.\nAnswer: 185089760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a microgram in nanograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -102247404 by -35826.\nAnswer: 2854","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 948.1 - 948. Sort -27\/2, -3, y in descending order.\nAnswer: y, -3, -27\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 8, -3, -6966, -1\/9 in increasing order.\nAnswer: -6966, -3, -1\/9, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 2 + 7. Let t = c + 1. Let o(x) = x - 2. Let n be o(t). Solve -l - 20 = -4*f - 3*l, 0 = 5*f + n*l - 25 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(((-11)\/(77\/2))\/((-3)\/21)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + y**2 + 1)*(-y**2 + 5*y**2 - 3*y**2)*(-22*y - 6*y + 9*y).\nAnswer: -19*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -18*r**5\/5 + 69*r**4\/5 + 99*r**3 + 156*r**2 + 468*r\/5 + 96\/5 = 0.\nAnswer: -2, -1, -2\/3, -1\/2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*r + 89 = -80. Suppose 0*o + 6 = 3*o. Let i be 41 - (o - 2 - -2). What is the greatest common factor of i and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 153921 + -153920.600005. Let d = 0.05 + 0.35. Let g = d - l. What is g rounded to 5 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -448*s**3 - 449*s**3 + 9*s**2 - 456*s**3 + 1346*s**3 - 4 - s to w*s**2 + p*s + j + g*s**3 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000130755732 to 5 dps.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2733229\/71568 + -1587\/1136. Let v = -256\/7 + k. Solve 0 + v*b**2 + 4\/9*b = 0 for b.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llun when four letters picked without replacement from {n: 3, v: 1, t: 2, u: 6, l: 2}.\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m**2 + 217690*m + 29260240 = 0. Calculate m.\nAnswer: -134, 43672","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(-3) - 1\/4\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t + 2*t + 3 + t. Let b be 36\/24 - (-14)\/(-4). Give w(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 3 - 2. Let s = p - -1. Let c be (-63)\/(-6) - 1\/s. What is the highest common divisor of 40 and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -4*c + 796, -4*w - 2*c - 790 = -0*c. Let o be w\/(-8) + 9\/36. Let u be (-54)\/(-27)*(-30)\/(-4). Calculate the highest common divisor of o and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - -1. Suppose -g*x - 204 = -7*x. Suppose 14 = -3*u + x. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -134176, -268354, -402534, -536716, -670900, -805086, -939274?\nAnswer: -1073464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -2*b**5 - 838*b**4 - 86474*b**3 + 282238*b**2 + 1568996*b - 3561680 = 0.\nAnswer: -211, -4, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 4*s**3 - s**2. Let h be 8 - (37\/9 + (-15)\/135). Let q(r) = -3*r + 15 - 4 + h*r + 14. Let j be q(-26). Give f(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/o**(1\/8)))**(-46) assuming o is positive.\nAnswer: o**(-23\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 31 = h, 3*c - 57 = -3*h + 6*c. Let y = 33 - h. What is the greatest common factor of 42 and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 1. Let k(d) = -d - 57. Determine -k(z) + o(z).\nAnswer: z + 58","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - -11 - 10) + 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**11\/y)\/y)\/((y**(-11)*y*y)\/y*y))\/(y**10\/(y\/y**(4\/15))) assuming y is positive.\nAnswer: y**(131\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -72859 divided by -11330.\nAnswer: 72859\/11330","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 563.9 to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 10*i**3 + 42796*i**2 + 45778880*i - 18318400 = 0.\nAnswer: -2140, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/1358 and 61\/2.\nAnswer: 1358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -5*v + 30, f + 3*f = 4*v. Let w(o) = 6*o + 3. Let l(c) = -c - 1. Let u(a) = f*l(a) + w(a). Let k(b) = -b**2. What is k(u(m))?\nAnswer: -9*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 35819419 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12222202 - -2?\nAnswer: -12222200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f**(-13)*f))\/(f\/f**(-1\/24)) assuming f is positive.\nAnswer: f**(287\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the third derivative of g**9\/18 + 2*g**7\/105 - 4*g**5\/15 + 11*g**3\/6 - 3133*g**2. Find the third derivative of j(y) wrt y.\nAnswer: 3360*y**3 + 96*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9619 by -4.\nAnswer: -9619\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 636\/10 - (-2)\/5. Let c(q) = -q**2 - 9*q + 3. Let f be c(-9). Suppose f*d - v = -d. Calculate the remainder when 46 is divided by d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 + 6*m**2 + 5*m + 7. Let o = -5 - 0. Give z(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 19196 = 54323. Let y = 140405\/12 + w. Find the common denominator of (-2)\/(8\/(-10))*28853\/(-14190) and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -321*d - 89*d - 160*d = 35*d + 14520 for d.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 2*d**3 + 10*d**2 - 58*d + 20. What are the prime factors of o(12)?\nAnswer: 2, 5, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 - -2) + (-5 - -6). Differentiate 0*n - 4 + o*n - 4 with respect to n.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 117324903.\nAnswer: 3, 41, 953861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*w**3 - w**3 - 2*w**3 + (w**2 + 0*w + 0*w)*(86 - 86 - 4*w).\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -274, -80, 3 in decreasing order.\nAnswer: 3, -80, -274","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-28)\/16)\/(-7)*17*108\/(-27)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 - -20. Let h be (1 - 1) + (7 - b). Let x(w) = -4*w**2 - w - 13. Let y(a) = a**2 + 4. Let o = 10 + -17. Calculate h*x(u) + o*y(u).\nAnswer: u**2 + 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/(-5))\/2 + 0. Let x(o) = -o**3 + 7*o**2 - 6*o + 5. Let s be x(6). Let r = 3.968 + -3.468. Which is the nearest to 1? (a) s (b) r (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 825031 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-2\/23)*t**(2\/17) assuming t is positive.\nAnswer: t**(12\/391)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 + -18 - (-3 + 8 - 9)) + -17?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 141 by -194322.\nAnswer: -47\/64774","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/26 + (-2)\/13 - 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3201311325?\nAnswer: 3, 5, 3229, 13219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8786, 8251, 7342, 6047, 4354, 2251?\nAnswer: -274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 89091 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 116*n**2 - n - 3. Let y(t) = t + 6. Let c be y(-14). Let m be 50\/(-80) - (-3)\/c. What is the units digit of o(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2. Let c(k) = 16*k + 15. Give c(h(u)).\nAnswer: -16*u**2 + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.9 - 3. Let t = 445.0114 + -0.0114. Let a = -448 + t. Sort a, 2\/13, o in ascending order.\nAnswer: a, o, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(847) - (sqrt(847) - (3 + -2*sqrt(847))**2)) + 3*-3*sqrt(847).\nAnswer: -231*sqrt(7) + 3397","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 + 4*m**2 - 2*m + 2. Let x be w(4). Let u be (-376)\/x - (-4)\/12. What is the highest common factor of u and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -20 - (786 + -799)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7578 not equal to -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 5*x - 7*x. What is the units digit of ((-32)\/x)\/(4\/(-6))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = -4*a - 32, 3*a - 20*f = -18*f - 17 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -6*q + 15. Let o = -3 - -7. Solve -23 = -o*x - q for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 27 + 87. Let k = -13 + z. Calculate the greatest common factor of k and 125.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -2*m - m. Suppose 35 = m*l - 10. Let j = 14 + l. What is the remainder when j is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 28 - 17. Let x = -20 + j. Let o(c) = -c**3 - 8*c**2 + 8*c - 6. Calculate o(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 3*b - 4. Let o(g) = -1. Let y(p) = -h(p) + o(p). Let a = 7 + -10. Let s be y(a). Calculate the highest common factor of 3 and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 108 and 180.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -191828.5327629 - -1546.0325989. Let b = 190283 + h. Let a = 0.5 - b. What is a rounded to five decimal places?\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*p - 63785415 + 63785401 + 64*p.\nAnswer: 98*p - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3453\/343 or 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -759179929 - 71*g + 759179929.\nAnswer: -71*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 689827 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 2*w = -20, 0 = 3*i + 81*w - 76*w + 12 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 21864095 and -0.02.\nAnswer: 21864094.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 30 - 15. Let v = w + -15.2. Which is the closest to -1? (a) v (b) 1 (c) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 80\/36*144\/(-32)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 - 6*s**2 - 3*s - 7. Give f(-5).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*z - 10 + 10)*(0 - z - 2 + 2*z + z**3).\nAnswer: -11*z**4 - 11*z**2 + 22*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 76182 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -34 (base 12) to base 3\nAnswer: -1111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 5 - 4)*(2 + f - 2)*(-5 + 1 + 2)*(-7717 - f**2 + 4*f**2 + 7685).\nAnswer: -36*f**3 + 384*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4e (base 16) to base 9.\nAnswer: -86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 p when two letters picked without replacement from {p: 3, q: 2, c: 3}.\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 316*q + 4 - 39 + 35 to r + b*q and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -7569, -14356, -21143, -27930, -34717?\n\"Answer: -6787*w - 782","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 7:04 PM?\nAnswer: 7:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -256 = -4*t + 5*x, 0*x - 4*x = 0. What is the highest common factor of t and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49 is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 419 + -396. Is 27 at least as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 616697869 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21 - -31. Let m be (-2 - -3)*y\/2. Suppose -o - 8 = o, m*o + 11 = -3*g. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29746?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*m - k = 7*m + 6, 0 = -2*m + 2*k + 4 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -57982 - -57981.8. Let v = 0.007 + 2.093. Sort v, u, -1\/6, 2 in ascending order.\nAnswer: u, -1\/6, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**2 + 3*h**2 + 2*h**2)*((8 - 1 + 8)*(2 + 2 - 3) + 1 - 2 + 2).\nAnswer: 64*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4 - 1) + 0\/(-1). Let a be ((-6)\/j)\/(-6) + 2650\/(-30). Is (-42306)\/a - 2\/(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of 5*c**4\/12 - 21*c. Let k(p) = 3*p**2. Give k(x(b)).\nAnswer: 75*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -0*t - 3*t. What are the prime factors of 0 + 0\/t - -14?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 77454300?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -52 + 64. What is the remainder when 107 is divided by y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14.6387 - -0.0387. Let d be ((-1)\/(-6))\/(219\/146). What is the third biggest value in d, j, 5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -2*n - 4. Suppose d + 80 = 6*d. Calculate the greatest common divisor of d and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3504, 0, 4 in ascending order.\nAnswer: 0, 4, 3504","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 + 9361.\nAnswer: 9360.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 35*h**3 + 16*h**2 + 5*h + 16. Let j(c) = 7*c**3 + 3*c**2 + c + 3. Let l(k) = -2*g(k) + 11*j(k). Give l(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -4*q + 4. Let n be h(-2). Solve 0 = -3*l + n for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -18 (b) 2\/11 (c) -0.1 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65*x**2 - 63*x**2 - 14 - 17 + 31.\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1075119329 to the nearest integer?\nAnswer: 32789","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3 - (-12)\/(-3))*(0 + 1). Let f(q) be the third derivative of 7\/60*q**5 + 0*q**3 + 0 + 0*q**4 + 0*q - 2*q**2 + 1\/120*q**6. Calculate f(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -30 - -8. Let s = b - -22. Suppose -v + 87 = -l, -4*l - 3*v = -s*v + 320. Round l to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 13*v**2 - 2*v. Suppose 295 + 1835 = 5*s. Let u = s - 419. Let x(j) = 40*j**2 - 7*j. Give u*i(k) - 2*x(k).\nAnswer: 11*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 40\/11, 0.2, 4, 0?\nAnswer: 40\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2738 and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 877 a factor of 204515523?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 25*f**2 + 3*f + 23. Suppose -3*o = -t + 59, 18*o + t + 13 = 17*o. Is k(o) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 4, 12, 16, 16, 12, 4, -8?\n\"Answer: -2*t**2 + 14*t - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r - 2. Let t be c(13). Let o = t - -16. What is the first derivative of -4 - 3*j**2 + 3*j**2 + o - 6*j**4 wrt j?\nAnswer: -24*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2818 divided by -1?\nAnswer: -2818","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 + 2*p**2 - 4*p + 4. Let f be c(-3). Suppose 30 = -0*r + 2*r. Let i = r - f. Is 8 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + 1 + 11316\/16. Let q = 704 - g. Find the common denominator of q and (3\/9)\/((-16)\/42).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3080*w**3 + 2725*w**3 - 3*w - 6092*w**3 + (-6 + w + 6)*(0*w**2 - 3*w**2 + w**2) - 3*w**3 + w**3 + 3*w**3.\nAnswer: -288*w**3 - 3*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -5*(0 + 1 + (-2 - 0)). Suppose l + 5*v - 10 = 10, l - w*v = -20. Suppose 0 = -3*p + 9, 4*y + p + l*p = 11. Solve -y = 3*x + 4 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*s + 1270 = -32*s. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 270908\/7 + -38708. What is the common denominator of -49\/29693 and w?\nAnswer: 207851","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than -1\/529?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 minus -233?\nAnswer: 233.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -7*(1656\/(-28) - -6). Let b = a + 519. Is b a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t - 2*w - 15, -2*t + 1 - 8 = w. Let o be 8\/4 + (-3 - t). Suppose 0 = -3*r - 1 + 7. Solve o = -r*g - 2*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of -35*j**6\/12 + 65*j**5\/2 + 15*j**4\/8 - 1045*j**3\/6 + 230*j**2 - 90*j - 162. Solve o(q) = 0.\nAnswer: -2, 2\/7, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 93098495?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-80)*2 - 165\/300?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2*27*154\/(-34188)*-185\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -317948?\nAnswer: 1589740","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 389152422 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 3*o + 8, -3*o - 2*r = -10 + 8. Factor 0 - 1\/6*u**o + 1\/3*u - 1\/3*u**3 + 1\/6*u**2.\nAnswer: -u*(u - 1)*(u + 1)*(u + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 5*n - 2*v + v, -n = -3*v + 3. Suppose -n*x + 0*x = -66. What is the smallest common multiple of 294\/15 + (-6)\/(-15) and x?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 4, x: 14}. Give prob of sequence qqxx.\nAnswer: 91\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -992, -1989, -2996, -4019, -5064, -6137, -7244?\nAnswer: -8391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000003820465 to six dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of 43*h**5\/3 - 463*h**4\/24 + h**3\/6 - 58*h**2 + 2. What is the second derivative of c(t) wrt t?\nAnswer: 1720","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 2*c + 3*c = 22, 8 = 4*c. Suppose -2*l = -j - y*l + 3, -5 = -4*j - l. Let h be (j - 1)*(-11)\/(-33). Solve h = -i + 3*i + 6 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -44*t**6 - 54719*t**4 - 382*t**2 - 28294*t.\nAnswer: -5280*t**3 - 1313256*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/(-6) - 35\/70. What is the nearest to 0 in g, -3\/2, -449?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1111909, 1111881, 1111853?\nAnswer: 1111825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -27\/1007 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 168 - 343. Let g be r\/(-5) - -3 - -4. What is the greatest common factor of g and 105?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 90574 + -237?\nAnswer: 90339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 515760 a multiple of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of 0 + 0*x**3 - 17*x + 0*x**2 + 1\/6*x**4 - 1\/20*x**5. Let k be b(-2). What is the highest common factor of k and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-5\/3)*m**(3\/8))**(-4\/37) assuming m is positive.\nAnswer: m**(7\/222)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fffvffffffv. Give prob of picking 3 f.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(847) + (((sqrt(847) + 1)*-2 - sqrt(847))**2 - sqrt(847)) + -4.\nAnswer: 132*sqrt(7) + 7623","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + (0 - -3 - -3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 9:42 AM?\nAnswer: 7:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83*q**2 + 43*q**2 + 26*q**2.\nAnswer: -14*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16070105.\nAnswer: 5, 19, 169159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -451 * 0.1.\nAnswer: -45.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c + 0*c - c)*(-3*c**4 + 7*c**4 - 3*c**4) + 4*c**5 + 0*c**5 - 5*c**5.\nAnswer: c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - 8. Let g(t) = t. Let u be g(c). Suppose -5*q + 3*l - 34 + 0 = 0, 4*q - 5*l = -22. Is q equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:59 AM and 11:45 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s + 20 + 22 - 7)*(21*s - 14*s + 26*s).\nAnswer: 66*s**2 + 1155*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 232023 is divided by 97.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 - 9*z**2 + 16*z - 10. Let u be q(7). Suppose u*d - 288 - 148 = 0. What are the prime factors of d?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 12\/11 (b) 0.22 (c) 5 (d) 1\/5 (e) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that o**5\/6 + 796*o**4\/3 - 280058*o**3\/3 - 618539071*o**2\/3 + 186705*o\/2 + 206179425 = 0.\nAnswer: -1215, -1, 1, 838","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51239*b - 10253*b - 10252*b - 10254*b - 10249*b - 10246*b.\nAnswer: -15*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1995 + 3488. Calculate the remainder when q is divided by 65.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(0 + 2 - 4). Let n be c + 1\/2*2. Suppose 5*r + n*q - 16 = -0*q, 3*r + 3*q - 15 = 0. Solve 2*w - w = r for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 168 = 8*w - 0*w. Let y be (-12)\/(-30) - (w\/15 - 1). Determine i, given that y - 4\/5*i - 2\/5*i**2 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, p: 2, d: 4}. Give prob of picking 2 k.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 71*u - 292. What is the hundreds digit of r(37)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = -285*p + 1420, 618*q - 615*q - 2*p = -25 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -3050 (base 7) to base 6\nAnswer: -4532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 5943\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 5034 = 5*c - 5129, 6*c - 21 = 2*z - 16 + 69 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5650736.\nAnswer: 2, 7, 13, 3881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1812402 to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 4, u: 2, w: 7}. Give prob of picking 1 u and 3 w.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 738880?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 52, 39, 28, 19?\n\"Answer: g**2 - 16*g + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 634799*3\nAnswer: 1904397","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -147140, -147137, -147134, -147131, -147128, -147125?\nAnswer: -147122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the third derivative of r**5\/30 + 7*r**4\/4 - 31*r**3\/6 + 179*r**2. Is n(-34) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9823 and 94?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 167175062 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7305 + -7275. Let s(t) = -t**2 + 12*t - 2. What is the lowest common multiple of m and s(7)?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-56)\/5 + (-128)\/(-640).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.9 from 0.13966339.\nAnswer: 1.03966339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 8036 - 28826. Let a = v - 7558. What is a rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -4*n**2 + 130*n + 75. Calculate k(33).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-128 - 26 - 281)*(5*l + 4 - 4).\nAnswer: -2175*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s - 4 - 5*s + 38*s**2 - 37*s**2 + 0. Calculate p(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - b)*(0*b**3 + 2*b**3 + 0*b**3) + b**4 + 102*b - 126*b + 2*b**4 in the form g*b**2 + c + a*b**3 + y*b**4 + n*b and give n.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4192092 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1047467 (base 11) in base 5?\nAnswer: -432334444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 92538 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 4 - 11 - -1 - -5.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3963*x + 10845*x - 2155*x + 28436*x + 4583*x)*(-2*x**2 + 5*x**2 - 2*x**2).\nAnswer: 45672*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 2*u - 1)*(-1 - 1 - 2)*(109*u**3 - 32*u**3 - 2 - 66*u**3 + 20*u) in the form w + r*u**3 + k*u**2 + i*u + a*u**4 and give k.\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*n + 35398 = -4186. What are the prime factors of n?\nAnswer: 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2305935*n**4 + 1384167*n**2 wrt n.\nAnswer: -55342440*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 519*x = -344*x - 3452 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1934 and -11.\nAnswer: -1945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17 + -31. What is the nearest to -1 in h, -3, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxxyxxyyxyyzyx. What is prob of sequence zyyx?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 = 4*w + 5*k, 29 = -3*w - k - 7. Let a = w + 21. Is 2 a factor of (2 - (1 - -1)) + a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 3*l**2 + 21*l - 1. Let v be i(-7). Which is smaller: v or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.51 from 25629341.\nAnswer: 25629340.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 20110212000112 (base 3) to base 11\nAnswer: 1a40819","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 281860.4cm to micrometers.\nAnswer: 2818604000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1 times 0.154563\nAnswer: 0.154563","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + c - 8 = 0, -40*c = 5*m - 41*c - 4. What is the closest to -1 in -11, m, 12, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 0 = -8. Suppose 2*p = p + w. Suppose 0 = -g - 4*g - 20, -11 = -t + p*g. Solve -t*u = 2*u + 10 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1035868 to the nearest integer?\nAnswer: 1018","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 114, -129, -528, -1083, -1794?\n\"Answer: -78*t**2 - 9*t + 201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -23 - 2151501?\nAnswer: -2151524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -449858, -899694, -1349508, -1799300, -2249070?\nAnswer: -2698818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/40 of a microgram?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange r - 419*r**2 + 4238 - 20*r**3 - 19*r**3 - 16*r**3 + 418*r**2 + 56*r**3 to s + k*r**2 + t*r + y*r**3 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 - 2. Suppose 3*o + q*g + 5 = o, -3*o = -5*g - 5. Let r = o + 8. Is 8 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 + -3885.\nAnswer: -3884.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 (base 15) in base 16?\nAnswer: f1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 7\/2 of a millennium?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/18 + (-2)\/9)\/(-2). Suppose -780 = -5*v - c*v. Calculate the highest common factor of v and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 232493 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u. Let f = 665 + -663. Let q(d) be the second derivative of -6*d - 4\/3*d**3 + 0*d**f + 0. Calculate g(q(b)).\nAnswer: 8*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/(-6))\/((-4)\/(-18)). Let b(m) = 2*m**2 - 3*m + 3. Let j be b(2). Let x = j + g. Does 8 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.15 in -5\/3, -57, 4\/9, -2?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 - 2*s - 59. Let n be l(9). Let g(r) = 3*r**2 + 2*r. Let o(m) = -13*m**2 - 9*m - 1. Determine n*o(d) + 18*g(d).\nAnswer: 2*d**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 5 + 4 - 55*p + 5 - 3 + 56*p. Calculate x(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*m + 87 = 3*m - 83 for m.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3558 - 1763 - 1795 + 4*j.\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4 - -11)*(-2)\/(-5). Let a be h*(3 - (-2)\/6). What is the units digit of (0 + -2)*(-250)\/a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = c - 58, 3*c - 5*v = 5*c - 91. Is ((-93)\/(-9) - -2)*c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 439 = 4*h + 99. Let o = -57 + h. What are the prime factors of o?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2386 and 1704?\nAnswer: 2032872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 5*o**2. Let l(y) = -6*y - 4. Let w(p) = 12*p + 8. Let z(i) = -5*l(i) - 2*w(i). Let a(j) = 7*j + 5. Let d(s) = 4*a(s) - 5*z(s). What is d(u(c))?\nAnswer: -10*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15232?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**4 - 42830*x**3 - 458602225*x**2.\nAnswer: -x**2*(x + 21415)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o + 1. Let q(v) = 13 + 4 - 22 + 10. Let g(t) = -h(t) + q(t). Calculate g(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 87337 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -8385, -8390, -8399, -8412, -8429, -8450?\n\"Answer: -2*g**2 + g - 8384","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*(3 + (-55)\/15)*(-225)\/60?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, 1, -38 in increasing order.\nAnswer: -38, -2, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(2\/9))**33\/((b\/((b\/((b*b\/(b\/(b**12\/b)))\/b))\/b))\/(b\/b**(-9))))**(-2\/21) assuming b is positive.\nAnswer: b**(-142\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 888875\/33 - 26938. What is the common denominator of w and 17\/156?\nAnswer: 1716","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 82597981 and 62?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + -136710253?\nAnswer: -136710260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1526541547 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of -m**4\/6 - 14*m**3\/3 - 24*m**2 + 15*m + 87. What is o in l(o) = 0?\nAnswer: -12, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**2 + 3*h + 4. Let s be z(3). Suppose 20 = 5*r, -9*x = -s*x - 4*r - 104984. Round x to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 29 + -19. Let u = b - 12. Sort u, -11, 2 in decreasing order.\nAnswer: 2, u, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, -2, 4, -36, 3, 2 in descending order.\nAnswer: 4, 3, 2, -1, -2, -3, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 4, -0.188, -0.1, 5?\nAnswer: -0.188","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -133, -137, -145, -157?\n\"Answer: -2*n**2 + 2*n - 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 7*m**2. Let h(u) = 3*u**2 - 2. Let c(f) = 13*f**2 - 9. Let y(j) = 2*c(j) - 9*h(j). Let q(k) = v(k) + 6*y(k). Factor q(p).\nAnswer: p**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21, -38, -55?\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j - 5. What is a(4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000195129313 to 5 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(3\/7)\/(v\/(v**(2\/7)\/v)*v) assuming v is positive.\nAnswer: v**(-16\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4161 and 285.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 114555 - 1717423\/15. Let z = -299\/5 + c. Find i, given that z*i**3 + 0 + 0*i - 1\/6*i**2 = 0.\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.233 + -2.33. Let t = n + 0.117. Which is the closest to -1? (a) t (b) 2 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of 59*c**6\/120 + 29*c**3\/3 + 125*c**2\/2 + 108. Let g(j) be the second derivative of q(j). Differentiate g(u) wrt u.\nAnswer: 177*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1567 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from srrrrmrrrrrsisioros.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 14346744 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 651*o**3 + 26 - 55 + 98.\nAnswer: 651*o**3 + 69","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 81\/105 - 18\/(-42) - 112\/10.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 3*v = -0*v - 11, 2*a - v + 2 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*d - 1037 + 1193 for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 less than 0.8976?\nAnswer: -22.1024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 3 = -9. Suppose -3*j = -5*q + 30, -2*q - 4*j = q - 18. Solve o*u + 3*x - q = 7*u, -x - 6 = u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, u: 1, h: 5}. What is prob of sequence houo?\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 60*w - 576. Let f be h(10). Let i(g) be the third derivative of 0*g - f*g**2 + 0 - 5\/6*g**3 - 5\/24*g**4. Let x(p) = -p. What is x(i(o))?\nAnswer: 5*o + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1345212413 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -12*p + 162 + 33*p - 13*p - 17*p. Does 27 divide d(-26)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 - 4*q**2 - 5*q. Let u be b(5). Suppose u = -5*c - 4*p + 23, 4*p - 7 - 2 = -3*c. What are the prime factors of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.12 and 212.1?\nAnswer: 25.452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 988*f + 2. Let m(b) = -2*b. Let n(a) = -3*a. Let l(u) = 7*m(u) - 5*n(u). Let r be l(1). Let y be w(r). What is y rounded to the nearest one hundred?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/5307771 and -69\/35?\nAnswer: 26538855","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 497341.\nAnswer: 13, 67, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = 26*w - 34. Solve 2*t - 24 = -3*t + 2*d, -4*t + 8 = w*d for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 1448*b + 112 = 1447*b, u + b = -31 for u.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 44\/155, -309, -1.6?\nAnswer: -309","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = 3*b + 99 - 28, 19 - 45 = -2*i + 2*b for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (210\/(-140))\/((9\/3)\/(-12)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -4*v + 7. Is 13 a factor of b(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*m - 3*m - 2*m + (-1 + 3 - 4)*(-m + 0*m + 0*m) + (0*m + m + 5*m)*(1 - 1 + 1))*(-m - 2*m + 2*m) to the form p*m**2 + w + d*m and give p.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vzzsfxzfzxffvvzxvzl. What is prob of picking 1 f, 1 x, and 1 v?\nAnswer: 16\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (224\/12)\/(-7)*(-21)\/7?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6566 is divided by 6399.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*2*sqrt(228))\/(-1*sqrt(1452)) + -3 + -2.\nAnswer: -5 + 10*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -194821776 divided by -2\nAnswer: 97410888","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -1113*o - 8237. Determine q(-7).\nAnswer: -446","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3*(16\/12 - 2). Suppose 0 = -5*h - 15, f*x + 4*h + 5 = -1. Suppose -x*t + 1 = -11. Solve 9*z - 11 = 2*n + t*z, -z - 8 = 3*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/6*((-396)\/(-24))\/(-11)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -0.5, 0.3, 0.001?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 265*v**3 - 82 - 261*v**3 + 82.\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that n**5\/5 + 10181*n**4\/5 + 34557706*n**3\/5 + 7826164866*n**2 + 78158016261*n\/5 + 39061739457\/5 = 0.\nAnswer: -3393, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 3*f**3 + 132*f**2 + 3*f + 135. Let t be b(-44). Solve z + 5 = 3*w, t*z + 4*w + 3 = w for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 17*n + 101 + 137 = 0 for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3\/4 - 7\/20. Suppose -10*p + 12 + 8 = 0. Suppose -41*z - 48 = -33*z. Which is the closest to p? (a) h (b) -0.5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -1359*b - 1 + 1360*b + 13. Let t = 12 + -17. Determine h(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 157\/(111627\/(-8848)) - 12\/(-1).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c - 2. Let z be d(-6). Let o(h) = 2*h**2 - h**2 + z + 2*h + 0*h**2 + 2*h. Give o(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1.7 (b) 10 (c) -10316\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 + 6*a**2 + 4*a - 5. Let l be o(-4). Let j = 558 - 217. What is the highest common factor of j and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*((3*sqrt(119) - sqrt(119)) + sqrt(119)))\/sqrt(7))**2 + -2.\nAnswer: 610","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 48 - -12. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 444*p + 17. Let b(o) = -148*o - 5. Calculate 7*b(t) + 2*w(t).\nAnswer: -148*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 462142 - 2446333 = 0. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -7*s**3 - s**2 + 6. Let b(w) = -w**3 + 1. What is 5*b(l) - q(l)?\nAnswer: 2*l**3 + l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5)\/10*(-12 + -4 + 2). Solve 0 = -c*p - 55 + 83 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -638*k**2*u + k**2*z + 10*k**2 + 91*u*z + 76*z + 1 wrt k?\nAnswer: -1276*k*u + 2*k*z + 20*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*o**3 + 31653*o**2 + o**4 + o - 31632*o**2 + 66*o**3 to c*o**2 + p*o**3 + m*o + v*o**4 + w and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 20, -5*i - 5*y = -0*i - 2650. Let p = i - 373. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8173 + 9*a + 4037 + 4074)*(a**2 + 0*a**2 - 3*a**2) in the form k*a**3 + d + o*a + z*a**2 and give k.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-75)\/35)\/(-5) + 624\/14. Suppose -8*y = -m + 269. Let w = 269\/10 + y. Find the common denominator of w and -31\/25.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2777 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 533 and 107692.\nAnswer: 4415372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3052177 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 - 11*k**2 - k + 16. Let f be p(11). Suppose -3*c + 1416 = -0*j + 4*j, 2*j = -f*c + 2360. List the prime factors of c.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 840 and 3303510?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 6*j**4 + 5816*j**3 - 11680*j**2\/3 - 38816*j\/3 - 15520\/3 = 0.\nAnswer: -970, -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 1.79 and -2\/3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of -x**4\/12 + 3*x - 31. Let h(k) be the first derivative of v(k). Let b(r) = -5*r. Give h(b(j)).\nAnswer: -25*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/((h*h*h\/(h**(-2\/33)*h))\/h))\/(h*h**(-8\/9)))\/(h**(-2)*h**(-17)) assuming h is positive.\nAnswer: h**(1864\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -53778 <= -54747?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -104, 12 in decreasing order.\nAnswer: 12, -1, -104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.2 or -0.473?\nAnswer: -0.473","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i. Let s(h) be the third derivative of h**5\/12 - 34*h**2. Give o(s(c)).\nAnswer: 5*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1590595 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6643 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*l**2 + 1177*l - 1177*l.\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:56 PM and 1:28 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1716, -9, 4, 9, 12, 2 in decreasing order.\nAnswer: 1716, 12, 9, 4, 2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 78 = -68. Suppose -2*c - 5*q + d = 0, q = -4*c - 0*c + 256. Let u = -25 + c. List the prime factors of u.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s**3\/2 - 3*s**2 + 5*s\/2 = 0 for s.\nAnswer: 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 2.5745 and 712 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 411, 408, 403, 396, 387, 376?\nAnswer: 363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 22 = 5*q, -q + 7 = 5*b - 2. Let l be (q\/(1*-2))\/(15\/(-30)). Solve -4*i + l + 4 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4871000 to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -4 + 11 + -3 + -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -181, -258, -351, -472, -633, -846, -1123, -1476?\nAnswer: -1917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 18 + -da05a6?\nAnswer: -da058e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -5058 divided by 5?\nAnswer: -5058\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3728 and 233.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of -p**7\/7560 + p**4\/8 - 5*p**2. Let r(y) be the second derivative of v(y). Factor r(g).\nAnswer: -g**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - 20) + 321 + -252.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 5*b + 57 = -724, -1119 = -3*n + 3*b. What is the remainder when n is divided by 64?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/((z\/(z*z\/z**(-12)*z)*z*z)\/z))\/z)\/(z\/z**0)*(z*z**(-17)\/z)\/z**5 assuming z is positive.\nAnswer: z**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 - 6*o**2 - 7*o - 6. Let r be t(-5). What is the tens digit of -2 + (-4)\/r + 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 104.6145l to millilitres.\nAnswer: 104614.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 22\/(-121) + (-150)\/22. Let r be (i + 8)\/((-1)\/2). Is -7 less than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j - 2 = -d - 4*j, -2*d - 3*j + 11 = 0. Find b, given that 0*b**2 + 1\/2 - 1\/2*b**d + b - b**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*d - 6 - 8 - 6*d + 14 + 14*d.\nAnswer: -41*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 - d + 11. Let z be s(0). Let x = 67 + -65. Sort x, -2, z.\nAnswer: -2, x, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -3 + 3 + -19 + 21?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 10*x + 9. Suppose -3*m - m = -24. Let d(n) = -3 + 4 + m*n - 5*n. What is 2*a(h) - 18*d(h)?\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1125359 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + (-1718)\/(-7) + 5. Let i = k + -250. Let o = 232\/15 + -47\/3. Which is the second biggest value? (a) -2\/5 (b) i (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -23 - 12025?\nAnswer: -12052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -55 - -60. Solve 0 = h*g + 5*v, g - v + 1 + 1 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22 (base 13) to base 6\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 AM and 6:56 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/2631 and (5 + -2 - 49)\/(-10*2\/15).\nAnswer: 5262","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 5*t = 3*q - 12, 2*q + 2*t = 8. Let v(c) = 1 - 4*c + c**2 - q*c + 1. Let w(o) = -o**2 - 4*o + 9. Let g be w(-5). Determine v(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -60*a*p**2 + 2*a*p + 91549*a - 2*p**2 + 13*p with respect to p.\nAnswer: -120*a*p + 2*a - 4*p + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2892348709?\nAnswer: 5737, 504157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3164 = 4*q + 4*b + 992, 0 = 4*q - 4*b - 2164. Calculate the highest common divisor of 2 and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 164.81043us?\nAnswer: 0.000000045780675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1036 minus 6097?\nAnswer: -6097.1036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**2 + 5*i + 6. Let d be k(6). Let h = -1 + d. Let r be (-2)\/(-4*4)*4\/(-3). Do h and r have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3449 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from eeqeeeqqeeeeqeeeeee.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5)\/((-100)\/335) - -4. Let b = j + -41\/2. Find m such that -1\/4 + 1\/4*m + 1\/4*m**2 - b*m**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 63 + -67. Let w be (-22)\/104*o + -1. Which is the third smallest value? (a) w (b) -3\/4 (c) 1 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-54)\/(-9)*(-6)\/(-9). Are 21\/4 and q unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*p + 182294 = 37*p. Is p a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(2) + sqrt(50)*1 - (-1*sqrt(2)*4)**2).\nAnswer: -64 + 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*d - 77 - 33 = 0. Let o(r) = -2*r + 6. Calculate o(d).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -62367*o**4 - 33236*o wrt o.\nAnswer: -748404*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -112*m**5 + 310*m**4 + 136*m**2 - 310*m**4 wrt m?\nAnswer: -6720*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/13, -5\/4, 44, -0.105, 56.6, 0?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -958*d - 29. Let v(l) = 319*l + 10. Let z(n) = -6*s(n) - 17*v(n). Is z(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 26*d + 18*d + 9 + 6 + 24*d - 67*d. What is y(8)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 174 is divided by 59?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/36*-147 + -11 + -2. What is the fifth smallest value in 7, -0.4, 1\/3, c, -1?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 + 9*g**2 - 7*g + 2. Suppose 0 = -4*i + h + 2*h - 32, 0 = -5*h. Let s be (-2)\/(-5)*(i - -28). What are the prime factors of p(s)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 5, f: 13}. What is prob of picking 3 f?\nAnswer: 143\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 4 = -u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**2 + 834115*t - 168695250.\nAnswer: 5*(t - 202)*(t + 167025)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence og when two letters picked without replacement from {z: 2, h: 8, s: 7, g: 1, d: 1, o: 1}?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16 - -51) + (-6 - (2 + 0)) + 21?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*h + 28948 = -28646. What are the prime factors of h?\nAnswer: 2, 3, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1765532*t**2 + 5*t**3 - 1765532*t**2.\nAnswer: 5*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t - t + 3*o + 829, 0 = -2*t - 3*o + 437. Is 19 a factor of -6 + 448\/77 - t\/(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 87\/135 - 40\/90.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-48))\/((-935)\/(-1683)).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 - 16*f**2 - 15*f + 7. Let a be g(17). Let t = a - 21. Calculate the lowest common multiple of t and 18.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v**5\/23 + 9782*v**4\/23 - 75312*v**3 = 0 for v.\nAnswer: 0, 184, 4707","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 20400 = 4*v, 2*h + 2*v = -2*h - 40850. Let p = -101987\/10 - h. What is the common denominator of p and 13\/80?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - p = 56 - 3, 4 = n + 2*p. Suppose 0 = 3*g - n - 11. Suppose -4*l = -g*l - 12. Sort -3, l, -2\/15 in decreasing order.\nAnswer: -2\/15, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 60 = 7*k. What is the remainder when k is divided by 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 - -5. Let k be ((-87000)\/a)\/(6\/(-4)). What is k rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 + 3*z**2 - 5*z + 11. Let u(i) be the third derivative of i**5\/60 - i**4\/12 + 5*i**3\/6 + i**2 - 1112*i. Give 2*t(k) - 5*u(k).\nAnswer: -2*k**3 + k**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 15, 0*g + 4*g = -p + 17. Suppose -g*k - n = -21, 5*k + 2*n + n - 31 = 0. Let l = k + 0. Is 3 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 453227 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 12:31 PM?\nAnswer: 9:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1161753.6ns in minutes?\nAnswer: 0.00001936256","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 + 15*x**2 - 1927*x - 154. Determine r(-52).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -4*x**3 + 4*x**2 - 14*x - 3. Let v be i(5). Let n = v + 525. Solve 55*o = n*o + 15 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/5 of a hour?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 127790 or 125157?\nAnswer: 125157","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 682588 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 1 = -2. Let u be 3 + -1 + 1\/c. Suppose 5*z - u*y - 71 = -0*z, 4*z - 3*y - 58 = 0. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -37.9869 and 0.13.\nAnswer: -4.938297","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1617500, -3235046, -4852580, -6470096, -8087588, -9705050, -11322476?\nAnswer: -12939860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 474 - 2267 = -o. What is the hundreds digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 105 - 111.3. Round z to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/49258 and 37\/221661.\nAnswer: 443322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + (-36)\/45*(-345 - 0). Find the common denominator of 71\/36 and s\/(-9)*3\/(-4).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of -15927*f**4\/4 + 9116*f**3\/3 + 141. Find the third derivative of g(y) wrt y.\nAnswer: -95562","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2*k - 62. Let q be y(34). Suppose j + 4 = 4*v, -j + q*j + 1 = v. Solve -7*i + i + 18 = j for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 - -3)*1*2\/3. Suppose -7*o = -23 + s. Suppose -7 + o = -q. Solve 6 = 2*r + 3*t, 4*r + 5 = q*t - 3 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2090 rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-3*(sqrt(2) + -2) + 4)*2 + 1.\nAnswer: -6*sqrt(2) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-2 + sqrt(468))**2 + (-1 + sqrt(52))*5.\nAnswer: -14*sqrt(13) + 464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25203056 and 9340?\nAnswer: 1868","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1a52a4 - 196?\nAnswer: 1a510a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-1 - (-1 - 1) - 3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*m = -10*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18 + 82. Suppose -5*v - 14 + u = 0. Let p(m) = -14*m - 3. Let j be p(-2). Calculate the highest common factor of v and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23 + 23.000938. What is l rounded to four dps?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*v + 2*v + 0*v + 1)*(140*v**4 - 102*v**4 - 76*v**4).\nAnswer: 114*v**5 - 38*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 115 - 115.00000171. What is l rounded to seven dps?\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4122 + -4121. What is the biggest value in -1\/7, w, -2\/5, 1.3?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-43151)\/(-2)*(-2)\/8. Let o = -5383 - h. Calculate the common denominator of (-164)\/(-30)*(-10)\/24 and o.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -66*y + 70*y. Solve y*u + 40 - 8 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -165260 and -24 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -61 - 23*j + 134 + 13*j**2 - 73 as o*j**2 + m*j + k and give o.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -478, -1434, -2866, -4774, -7158?\nAnswer: -10018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.71 - -7.71. Sort q, 0.1, -2, 19 in increasing order.\nAnswer: -2, 0.1, q, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 111826 and 8671?\nAnswer: 3242954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15 + 1 - (36 - 102)) + (-21 - -5).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/36 and 83\/5940.\nAnswer: 5940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12.9 + -11.9. Which is the smallest value? (a) 2\/9 (b) x (c) 1\/24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 10 + 0 + 13*m - m**2 + 2. Let a be i(14). Calculate the least common multiple of 12 and (0 - 1)\/(a\/8).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-3)*(6 + 15). Let t(f) = -f**3 + 22*f**2 - 16*f + 2. Let d be t(k). Suppose -x + 5*m + d = 0, 4*x - 2728 = 2*x - 2*m. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29, 54, 63, 50, 9, -66?\nAnswer: -181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -422346, -844691, -1267036, -1689381, -2111726?\nAnswer: -2534071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3 or 392?\nAnswer: 392","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - 10 - (7 + -24)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -175 - -77. Let c = 110.7 + l. Round c to the nearest integer.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + -2 - -28) + -7 + 0 - 6.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 3*b**2 + 5. Let j = 3 - 0. Let i(a) = -j + 0*a**2 + 0 + 8*a**2 + 17. Let p(f) = 5*i(f) - 14*w(f). Let q(r) = -4*r**2. What is p(q(k))?\nAnswer: -32*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -737 - -1360. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -10*p + 3. Let c(v) = -5*v + 2. Let y(m) = -5*c(m) + 3*k(m). Let l(w) = w**3 - 70*w**2 - 7*w + 491. Let d be l(70). Give y(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8600 a multiple of 86?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -54 or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 320698?\nAnswer: 2, 7, 22907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -40 + 46. Let m = 64 + -46. Let v(d) = -d**3 + 18*d**2 + 4*d - 6. Let z be v(m). What is the highest common factor of z and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*w + 4*l - 7*l - 22, 1 = 3*w - 4*l for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1764 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -392, -1824, -4214, -7562, -11868, -17132?\n\"Answer: -479*r**2 + 5*r + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h and 1 e when four letters picked without replacement from {e: 5, l: 2, h: 5, s: 1, d: 5, m: 1}.\nAnswer: 25\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19704, -19397, -19092, -18789, -18488?\nAnswer: -18189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 7*d**2 - 4*d - 1. What is the least common multiple of s(3) and ((-112)\/12)\/(56\/(-12) - -4)?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/((-7)\/2) - (-266)\/98. Suppose -p = -x - 4, 0 = 3*b - 4*x - 1459. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 377 divided by -13\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1\/(-1))\/(-1) + -1. Let t(q) = 4*q + 11. Let w be t(-7). Let i = w + 19. Solve b = 2*v + 4*m, -5*v - 2*m - i*m = -6 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13509 = -224*r + 5669 for r.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 13) to base 10.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 67, 5, 109, 2, 3.\nAnswer: 2, 3, 5, 67, 109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, 21, -5, 5, 3\/2, -315 in increasing order.\nAnswer: -315, -5, -1\/5, 3\/2, 5, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 2 p when four letters picked without replacement from {s: 7, p: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -232 = 2*t + 3*u, t - 932 + 1281 = -2*t + 7*u - 11*u for t.\nAnswer: -119","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 3*b + 2 = 0, -f + 6 = -5*b - 16. Suppose 2*c = 5*o - 2791, -f*o + c + 528 = -589. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-936538.06.\nAnswer: -3746152.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34839, 34835, 34829, 34821, 34811, 34799, 34785?\nAnswer: 34769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1600)\/sqrt(5) + -1 + sqrt(5)*-1 + (0 + (sqrt(5) - (-1 + sqrt(5))) + 1)*2)**2.\nAnswer: 42*sqrt(5) + 254","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 + 6 - 4 - -4) + 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pm when two letters picked without replacement from {m: 6, p: 1, u: 2, d: 5, a: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21, 47, 87, 141, 209, 291?\nAnswer: 387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31753125.\nAnswer: 3, 5, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93725097.\nAnswer: 3, 17, 47, 61, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n*n**(2\/5))\/n)\/n)\/n**(-1\/3))\/(n\/n**0)**(12\/11) assuming n is positive.\nAnswer: n**(-224\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -970*j**2 - 36 - 18 + 1012*j**2 to the form m*j + p + c*j**2 and give c.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9702 + 9707. Let s = 39 + 126. What is the highest common divisor of s and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -93 + 95. What is the remainder when 71 is divided by (-7 + d)*174\/(-30)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nddddddjjnd. What is prob of sequence djdn?\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5700 is divided by 1895?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 408 - 401. Let x be 5\/(20\/32) - 1. What is the greatest common factor of h and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 808, 1671, 3104, 5107, 7680, 10823?\nAnswer: 14536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -18 < 63?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 - d**2 - 4. Give w(3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 + 5*p**2 + 6*p + 13. Let q be g(-4). Which is the third smallest value? (a) 12 (b) 4 (c) q (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 27980517*x + 22330733 wrt x.\nAnswer: 27980517","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12\/6085 - -6109\/12170. What is the nearest to f in 4, -2\/5, 7, -2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sqqa when four letters picked without replacement from wswwqwqahaaaqqq?\nAnswer: 2\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**2 + 4*b + 5. Suppose 0 = 2*p - 3*x - 18, 0 = 3*p + 2*p + 2*x - 7. Let y(h) = 0*h - p*h**2 + 8*h - h + 9 + h**2. Give -5*q(g) + 3*y(g).\nAnswer: -g**2 + g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43128.91 weeks to seconds.\nAnswer: 26084364768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/2)*i)**36*(i*i\/i**(-3\/4))**38 assuming i is positive.\nAnswer: i**(317\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3c8236 (base 13) in base 3?\nAnswer: 2202220201201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.139721, -0.9, -0.1?\nAnswer: 0.139721","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -63b + 1b43?\nAnswer: 1505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -2*c + 384. Let p = -61 + c. Suppose -176 = -p*k + k. List the prime factors of k.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12201 (base 3) to base 8\nAnswer: -232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 0 - -1 - (-1)\/(-3).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2534141421 + -2?\nAnswer: -2534141423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 0, -2, -5, 3, -3\/38, -0.12114?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 7) + (0 - -2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 530 is divided by 188.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 3444?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2555 is divided by 1273.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/24*12*1. Suppose -p - 3*a = 2*p - 54, -p - r*a = -18. Calculate the remainder when 53 is divided by p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -678513, 5.\nAnswer: -678513, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = c, w + c = -9 + 7 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.12464 to one decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(9\/2)*n\/n**19*n*n assuming n is positive.\nAnswer: n**(-23\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/5, 0.3, 10.8, 0.4, -0.03 in decreasing order.\nAnswer: 10.8, 0.4, 0.3, -0.03, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36148 and 5837902?\nAnswer: 11675804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 105\/42*(0 + 2). Suppose 215 = 3*u - g, -182 = -l*u + 2*g + 175. Calculate the smallest common multiple of u and 5.\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/14985 and -3\/910.\nAnswer: 2727270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24 + 45\/2. Suppose 18*g + 9 = -2*a + 19*g, a + 12 = 3*g. What is the fourth smallest value in -0.5, -0.3, r, a?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(1215) + sqrt(1215)*-2 + sqrt(1215)))\/(sqrt(525)\/sqrt(7)*-4) + 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -568 = 5*j + 806 - 1554 for j.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1028 = -b + 3*b. Is (b\/(-8))\/(7\/28) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + 8. Let n = -902 - -911. What is the derivative of -10*s**3 - 6 + 18*s**d - n wrt s?\nAnswer: 24*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2798 = 3*x - 7027. What are the prime factors of x?\nAnswer: 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -26, 8, 1, -101 in increasing order.\nAnswer: -101, -26, -6, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -104421021 (base 6) to base 11.\nAnswer: -1088693","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/5))**39*(o**(1\/2))**30*((o**2)**(-2\/125))**(-3\/29) assuming o is positive.\nAnswer: o**(82662\/3625)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*j - 3*j - j)*(-j - 2 + 2) + 5*j**2 - 3*j**2 - 3*j**2 - 163*j**2 + 6*j**2 + 91*j**2.\nAnswer: -68*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 497\nAnswer: -498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/10)\/k**(-3\/7))\/(k**3*k**8*k)*(k**4\/k)\/k**8*(((k\/k**(-1\/5))\/k)\/k)**(5\/7) assuming k is positive.\nAnswer: k**(-1207\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 63*h**2 + 84*h. Let l(k) = k**2 + k. Let p(c) = 84*l(c) - y(c). Let z(w) be the first derivative of 0*w + 1\/3*w**3 - 10 + 0*w**2. Determine z(p(i)).\nAnswer: 441*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d**2\/4 - 5559*d\/2 + 30902481\/4 = 0. Calculate d.\nAnswer: 5559","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -5274715.9 to the nearest one thousand.\nAnswer: -5275000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 276 and -5 + ((-218)\/(-3) - (-88)\/66).\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 420065135?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 44 + 360 = 5*s, 338 = 4*s - 5*o. Suppose -s = -c + 50. 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 87.12158g in tonnes?\nAnswer: 0.00008712158","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 + 9*l + 4. Suppose 0 = -2*h - 2*z + 14 + 2, -4*z - 32 = -4*h. Let q be w(h). Solve -i - 4*d - q = i, -i + d = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 731892 to the power of 1\/4, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -1\/7, 1, -1\/17?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 2*r - 3*d, -2*r + 3*d - 2*d = -21. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19d23 (base 14) to base 10\nAnswer: 65691","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -245, -490, -735?\n\"Answer: -245*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9096*p**4 - 63*p**2 - 225622*p - 3?\nAnswer: -109152*p**2 - 126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 322005973*u**4 - 10749063*u**2 wrt u.\nAnswer: 7728143352*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 485506138 to the power of 1\/6, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 64 + 25692?\nAnswer: 25706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -123 divided by -41?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 221 (base 5) in base 7?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -5*q + 10, 5*q - y - 2*y = 26. Which is the second biggest value? (a) 2 (b) q (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 3*f - 29, -35 = -5*f - 7*b + 3*b. Suppose q + f - 6 = 0. Find the third derivative of -r**4 + 4*r**2 - 7*r**3 + 6*r**3 + r**q wrt r.\nAnswer: -24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*o + 18*o = -35 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9\/2 in 7, 3\/10, 5\/2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (621*r + 37 - 121 + 37 + 46)*(1 - 1 - r).\nAnswer: -621*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 79675 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eegegggfggegefg. What is prob of picking 1 g, 1 f, and 1 e?\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 23*l**2 - 5*l + 9. Suppose 3 = -2*i + 9. What are the prime factors of a(i)?\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, l: 3}. What is prob of picking 2 o and 1 l?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/8851248 and -29\/2950416?\nAnswer: 8851248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -174*p*u**2*v + 17592*p*u*v**3 - 718*u**2*v**3 + 1281*u*v**3 - v**3 wrt p.\nAnswer: -174*u**2*v + 17592*u*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 + 13*n + 4. Let h be d(12). Suppose 5*l - h = -1. Solve 2*c - 19 = 5*p, 7*c - 4*p = l*c + 8 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25176 (base 10) to base 2\nAnswer: -110001001011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 - (0 + -3 - 1). Let j be (-5 + b + 2)*7. Let h = j + 17. Solve 3 = -h*l - 3 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 55955513?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of -1\/8*q**4 + 155*q + 0 - 8*q**3 + 0*q**2. Solve z(v) = 0 for v.\nAnswer: -32, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 103 = 5*l, 0 = 3*s - 3*l + 5 - 68. What is the greatest common divisor of s and 2093?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 234587, 469245, 703917, 938609, 1173327, 1408077, 1642865, 1877697?\n\"Answer: i**3 + i**2 + 234648*i - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 932*z - 12*z + 5941 + 12333 = -126 for z.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -5*r**3 - r**2 + 4. Let u(q) = -4*q**3 - q**2 + 3. Let f be ((-4)\/8)\/(1\/(-6)). Let x(a) = f*t(a) - 4*u(a). Factor x(z).\nAnswer: z**2*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1876 + 1?\nAnswer: -1875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -8*f. Let i(m) be the third derivative of -m**4\/24 + 5*m**3\/3 - 53*m**2. What is the remainder when 59 is divided by i(f)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/10 of a kilogram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 266.237ug in milligrams?\nAnswer: 0.266237","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 - 26*v**2 - 43*v + 94. Let w be u(-24). Is -42 less than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from wwvvv.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2332014030 + -43?\nAnswer: -2332014113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -8*c**3\/7 - 34*c**2\/7 - 32*c\/7 - 6\/7 = 0.\nAnswer: -3, -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 9763.319 weeks?\nAnswer: 98414255.52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 308 = 4*k - 2*y, 3*k - 390 = -2*k + 5*y. Let w = -96 + k. What are the prime factors of w*1*62*(-6)\/48?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + -6?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 36443?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*((k**(2\/5)\/k)\/k)\/k*(k\/(k*(k*k**(-10))\/k))\/k)**26*k**2*k**(-3)*k**(-2\/3)*k\/(k**(-4)*k) assuming k is positive.\nAnswer: k**(2921\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-5))**(2\/3))**15 assuming z is positive.\nAnswer: z**(-50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 + 2*b + 6. Let n be x(3). Let f(v) = 12*v**2 - 4*v + 7. Let z be f(n). Suppose 3*o = z + 56. List the prime factors of o.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = x - 47 - 8, 0 = 4*x + 2*c - 210. Let y = -34 + x. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*c + 4*c + 2*c**3 + c**2 + c as b*c**3 + i + a*c**2 + y*c and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60 + 61 - 121 + 20*c.\nAnswer: 20*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 2*h**3 + 4650*h**2 + 18494*h - 294. Calculate x(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -845, -1568, -2293, -3020, -3749, -4480?\n\"Answer: -w**2 - 720*w - 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2769, 22, 0, 919 in descending order.\nAnswer: 2769, 919, 22, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (19 + -5)*(-115)\/1980 and -91\/165.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143) + sqrt(143) + (sqrt(143)*2 - sqrt(143))*4 - (sqrt(143) - (sqrt(143) + sqrt(143) + 6*sqrt(143)*-1 + sqrt(143))))\/((-1*sqrt(1100))\/sqrt(4)*1).\nAnswer: -2*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8\/11 + -27\/22. Let n = 13.7 + -14. Which is the smallest value? (a) z (b) -2 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 2*d + 2*w, d + 5 = 2*d - w. Suppose -d = -4*o + 3. Suppose o*k + 12*k + 4650000 = 0. Round k to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 89 - 90. Suppose 5*c + 22 - 2 = 0, 0 = t - 4*c - 32. Let z be (1\/10)\/((-2)\/t). What is the nearest to s in z, -4, -5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 305088?\nAnswer: 2, 3, 7, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {t: 7, d: 6}?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -371 = -3199*y + 1634*y - 6631. Let z be -2 + 30\/(-2) + -1. Sort z, -1, 4, y.\nAnswer: z, y, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -a9b (base 13) to base 12\nAnswer: -1076","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 280*i**3 + 17*i**2 - 17*i + 126. Let d(f) = -35*f**3 - 2*f**2 + 2*f - 15. What is -51*d(u) - 6*g(u)?\nAnswer: 105*u**3 + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of -z**6\/40 + z**5\/5 - 5*z**4\/8 + z**3 + 5*z**2. Find v such that m(v) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-10))\/(12\/72 + 0).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 5*j = 24, 3*g - 3*j = -g + 96. Let n be g\/(-13) + 10\/(-65). Let b be n\/24*(-1 - 1). Sort b, 5, -1 in descending order.\nAnswer: 5, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 2 a when four letters picked without replacement from ggrggarrxxxaixar?\nAnswer: 9\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002482 to 5 decimal places.\nAnswer: 0.00248","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -35*w**2 + 115*w\/3 - 10\/3 = 0?\nAnswer: 2\/21, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 75 or 71?\nAnswer: 71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 13939, 14012, 14089, 14170, 14255, 14344?\n\"Answer: 2*k**2 + 67*k + 13870","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 8 = 0, 3*k - 56*o - 5533 = -55*o. Calculate the remainder when k is divided by 1842.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((-1*-3*sqrt(156)*1)\/(1*sqrt(24)\/(sqrt(14)\/sqrt(7))))**2.\nAnswer: 351","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16 - (-1660)\/(-100))\/((-15)\/(-200)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.7 in -0.1, -392\/3, 0.3, 4, 1\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 5*n - 6. Solve 0*a + 9 = n*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -357 smaller than -383?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 192 divided by 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -29 at most as big as 9\/5894?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*j**3 + 10876 - 268*j**2 - 10876.\nAnswer: -47*j**3 - 268*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -1. Let c(v) = v**3 + 29*v**2 + 30*v + 63. Let z be c(-28). Suppose h - 10 = -z. Solve n = -5*m + h*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(2\/3)\/(w*w**(-2\/19)))\/(w**(-7)\/(w*w*w*w*w*(w*((w*w**(-1\/13))\/w*w*w)\/w)\/w*w*w)))**(-2\/19) assuming w is positive.\nAnswer: w**(-21778\/14079)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, -13, 3.\nAnswer: -13, 0, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 47981383?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2*(-2 - -1) - -3. Let p be 3\/(-3)*(-1 + y). Let f(t) = -51*t - 455. Let x be f(-9). Solve 2*k + 4*q + 1 - 5 = 0, k + x*q - 8 = p for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 - y + 1. Let z be s(1). Let q = z - -1. Let o be (-10)\/(-8) + (-6)\/8. Which is bigger: q or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12351 - 15033. Put 5, -5, -4, r in descending order.\nAnswer: 5, -4, -5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 992 - 996. Let f = 0 - -1. Sort -20, o, f in decreasing order.\nAnswer: f, o, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1443 is divided by 157.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5222 = 5*y + 647. Suppose -2*g - y = 3*g. Is g\/(-3) - (-4)\/(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 - 38*w**2 + 91*w - 624. Let c be v(36). Solve 9*u - 19*u + c = 0 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -464, -2637, -8234, -18965, -36540?\nAnswer: -62669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78) + sqrt(78) + (sqrt(78) - (sqrt(78) + 4*(sqrt(78) + (sqrt(78) - sqrt(78)*1)))) + sqrt(78)*1*-4)\/((sqrt(6912) + 2*sqrt(6912))\/sqrt(8)))**2.\nAnswer: 13\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25279.4 nanometers to centimeters.\nAnswer: 0.00252794","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of -p**6\/90 + 3*p**5\/20 - 5*p**4\/9 + 2*p**3\/3 - 2*p - 21. What is i in v(i) = 0?\nAnswer: 0, 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 2*w**3 + 7*w**2 + 4*w + 1. Let d(o) = 2*o**3 + 8*o**2 + 5*o + 1. Calculate 2*d(s) - 3*j(s).\nAnswer: -2*s**3 - 5*s**2 - 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45 + (-30 - 0) + 43?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, -944673\/4, -0.007, 1 in descending order.\nAnswer: 1, 1\/2, -0.007, -944673\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*t - 14*t = -171 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < 6\/6047?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 214\/3531 + (388\/40)\/(1056\/(-10)).\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.6445 - 1.1445. Let t be ((-4)\/5)\/(2\/(-1)). Let i = 2.6 - 0.6. Which is the second biggest value? (a) k (b) t (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 11:41 AM?\nAnswer: 2:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**2 + 5*a + 10. Let l be r(7). Let s be (1\/(5\/(-10)))\/(l\/(-8)). Which is bigger: -1 or s?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(126)\/(1*sqrt(2) + sqrt(2)) - (-3*sqrt(7623) + sqrt(7623)))\/(sqrt(576) + sqrt(576)*1*-4 - (sqrt(576) - sqrt(576)*1*-4))*-2.\nAnswer: 45*sqrt(7)\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 23\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.043163 millilitres in litres?\nAnswer: 0.001043163","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1c0 + -1059a?\nAnswer: -103ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, 51, 128, 257, 450, 719, 1076, 1533?\nAnswer: 2102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-9)\/(-4))\/(12\/64). Suppose 5*a - 5 = -5*w + 5, -2*a + c = -2*w. Suppose 2*v = 4*v + a*o - 22, -4*v + 16 = o. Solve 9 + v = 4*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10000, 9997, 9994, 9991?\nAnswer: 9988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 31 = -2*t, -t - 4*t = 3*m - 30 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c*c**(32\/7)\/c)*c*(c\/(c**(-1\/8)\/c))\/c)\/(((c**(-4\/21)\/c*c)\/c)\/((c\/c**(-1\/15))\/c*c)))**12 assuming c is positive.\nAnswer: c**(681\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 8*p**3 + 2*p**2 + 3*p. Let y be j(-2). Let d be (-1)\/2*(4 + y). Suppose -3 = -4*x + d. Is x a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126*d + 2061 = -35*d + 10111. Let a(f) = f**2 + 5*f + 2. Let k be a(-4). Let x = 12 + k. What is the greatest common factor of d and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1618131462268 + -2.\nAnswer: -2.1618131462268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 32.7 + -32.2. What is the closest to -1 in -0.4, 3\/8, -5\/4, m?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*119\/(-13) - 14\/91. Is 7 a factor of -9 + d - -148 - 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 AM and 7:50 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 787, 843, 899?\n\"Answer: 56*r + 731","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 188868377?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*l - 4*l + 20*l)*(-5 + 1 + 3)*(-1 + 2 - 3)*(898*l**2 - 28 - 447*l**2 - 449*l**2).\nAnswer: 84*l**3 - 1176*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1224 + -693. Suppose 8*h - a = 3245. Suppose 3*r + q - 2*q = h, r - 184 = -5*q. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -23, 16, -152, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 i when three letters picked without replacement from mmmmmmim.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/3))**(-31)*(p\/p**1*p)**(-2\/9)*(p*(p\/(p*p*p*p**(1\/11)*p))\/p*p*p**9)**(-47) assuming p is positive.\nAnswer: p**(-34216\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -2*n**3 - 7*n**2 - 5*n - 2. Let c be b(-5). Round c to the nearest 10.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 30, 0.4, 1 in ascending order.\nAnswer: 0, 0.4, 1, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - 11440011?\nAnswer: -11440021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/34)\/(((-5)\/45)\/((-12)\/(-162))).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 11 and 25503 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 2 + 3 - 336159*i**2 + 3 + 336175*i**2.\nAnswer: 16*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 292165927743931 plus -2?\nAnswer: 292165927743929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1074510 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -37 - -77. Calculate the remainder when i is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-27)\/(-15))\/(176\/80 - 2) + 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from btkbtktkuxttltltb. Give prob of sequence xk.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of 2*t**2 - 5\/12*t**4 + 0*t**3 - 2 + t. Let r(m) be the first derivative of u(m). Differentiate r(p) with respect to p.\nAnswer: -10*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -2*h**3 + 143*h**2 + 373*h - 225. Calculate g(74).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 101 - 61 = 3*a, 0 = -r + 2. What is a rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 p when three letters picked without replacement from xoapooxap?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3\/2 + -1)*-8. Let c = -1 - m. What is the remainder when (c + -1)*(-188)\/(-8) is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-15)\/12)\/(-7 + 111\/16). Suppose -5*p = -h*p + 57930. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 - 3*x - 24. Let w be y(-10). Let a = w + 40. What is the lowest common multiple of 18 and 2\/(-9) + (-660)\/a?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*p**3 + 22*p**3 + p**3)*(5 + 23 + 2).\nAnswer: 420*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10292*s + 200904 - 266071 = 2173*s + 932033 for s.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 316590 to the nearest ten thousand.\nAnswer: 320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 366 = 2*b, 5*b - 721 = c + 176. Calculate the common denominator of 101\/20 and 1026\/b + 1\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 7:53 PM?\nAnswer: 5:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -31 - (-25 - (20 - 3 - 33))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 3*s + 2. Let t = 36 + -36. What is the units digit of b(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 + 3*p**2 - 6*p - 4. Let w be t(-4). Let g = -2 + w. Find the third derivative of 3*y**3 + 4*y**3 + 2*y**g - 5*y**3 wrt y.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -o - 5*k + 32, -5*k = -10. Suppose w - 12 = -o*w. Let r(j) = 3*j**3 + j**2 - j. Calculate r(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, w: 3, p: 4, q: 5}. Give prob of sequence qw.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4494?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 32961.9 to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a decade in months?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (63\/(-140) - 5\/(-25))*-12.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000038346 rounded to 7 dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tmtmmmmmmtpmmme. Give prob of sequence te.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 19*c**2 - 2. Let j be l(2). Let g(m) = 131*m**2 + 7*m + 5. Let k be g(-1). Let q = k - j. Does 18 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44951 to the power of 1\/2, to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.85115 millennia to centuries.\nAnswer: 58.5115","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 4) + -18 + 12?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 104 and 78?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-4 - -3) + 3 + 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2052600 rounded to the nearest one hundred thousand?\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -215 = -3*u + 349. Let y be (-1 - u\/(-36)) + -4. What is the smallest value in 0.5, 2\/3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -11947, -7?\nAnswer: -11947","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 68, 0, -5343, 74 in decreasing order.\nAnswer: 74, 68, 5, 0, -5343","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 53*f**4 + 87*f**2 + 4. Let t(m) = m**4 + 2*m**2 - 1. Let g(q) = -b(q) - 4*t(q). Find the third derivative of g(i) wrt i.\nAnswer: -1368*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 360 and 21.\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.01 - 0.51. What is the nearest to 2 in 2\/3, 1, v?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1327 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1d (base 16) to base 10.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + 3*i + 35. Let n = 351\/395 + -7\/79. What is the nearest to 1\/4 in i, n, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 52*v**3 + 74*v - 2*v**2 + 58*v**3 + 175*v**3 - 72*v + 3 to m*v + o*v**2 + a + x*v**3 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 85141 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(3\/4)\/o)\/o*o*o**(-1)*o)\/(o\/o**0)**27*(o**(2\/3))**(1\/21)*(o*o\/(o\/o**1*o)*o)**16 assuming o is positive.\nAnswer: o**(1205\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pf when two letters picked without replacement from ccfcpuffuf.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(288)\/(sqrt(48)\/sqrt(4)))\/(-1*sqrt(108) + sqrt(12)))**2*-3.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -75192, -75526, -75860, -76194?\n\"Answer: -334*y - 74858","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 10*m**3 - 19*m**2 + 4*m - 53. Does 3 divide d(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 139914 - 139922.3111. Let d = b - -0.0511. Round d to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33298 is divided by 74.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 123 = -5*g, 13 = 2*g + 4*k - 25. Calculate the remainder when 229 is divided by g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -76*g**4*o**3 + g**4*o**2 - 7*g*o**3 - 12*g*o wrt g.\nAnswer: -912*g**2*o**3 + 12*g**2*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 31322421534 - 4?\nAnswer: 31322421530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + 106 + -110 + (-41 - -4).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) -59 (c) -41.6 (d) 2 (e) -19 (f) 5 (g) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -247 - -352. Let r be (-4)\/30 + (224\/c - 2). Solve r = -5*p - 4*v - 45, -5*p - v + 6*v = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 0*r - 9*r**2 - 9 + r - r**3 - 2*r. Let z be q(-9). Solve 5*s + 4*a - 29 = z, 5*s + 3 = -5*a + 33 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6498350 (base 10) to base 13.\nAnswer: 1466aa1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*g - 1. Solve -4 = -g*x, 4*x = v + v + 4 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/(-3 - (-2)\/1). Suppose f = s - 0 - 2. Is -2 - s\/((-4)\/78) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 788 divide 950803220?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -3 + 7 + 7*t**2 - 5. Does 6 divide r(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4690518 - -9429.\nAnswer: -4681089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4738380?\nAnswer: 2, 3, 5, 151, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*y**4 - 440516*y**3 - 17461496*y**2 - 170736640*y + 50217600 = 0.\nAnswer: -15693, -20, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a + 31*a**3 - 34 + 0*a - 228.\nAnswer: 31*a**3 + a - 262","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3889 + 3889 - 16920*x**2 - 4663*x**2 - 5622*x**2 + 3882*x**2)*(7*x - 3*x - 2*x) as v*x**3 + m + u*x + z*x**2 and give v.\nAnswer: -46646","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 47590275?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -899, -1496, -2071, -2624, -3155, -3664, -4151?\n\"Answer: 11*y**2 - 630*y - 280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1822 + -794. What is the thousands digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 10:25 AM?\nAnswer: 8:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/1*(-15)\/(-45)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1921 and 18419.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*w + 251 - 257 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 2*f**2 - 16*f - 15. Let w be a(9). Solve -7*c + 16 = -3*c + 4*s, w*s - 4 = -c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**2\/4 - 835887*a\/4 - 835881\/2.\nAnswer: -3*(a + 2)*(a + 278627)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-40)\/18*(-4)\/8?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of -n**8\/336 + n**6\/40 + n**5\/30 - 181*n**2. Solve r(k) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0017519528 to four decimal places.\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/117 and 69\/130.\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/5*(-4)\/(-2)*-1.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = x - p, -3*x + 86 = -3*p + 8*p. Solve 43*w + x = 16*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 76*j**3 - 3*j - 1. Determine a(-1).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1605.5 + 1605. Which is the fourth biggest value? (a) 4 (b) -0.44 (c) f (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 33 and 3597?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 142 + -1565652?\nAnswer: -1565510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 7474 and 7475 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2, 2, -3\/2, -6, -27?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2370*u**2 - 175*u**3 + 174*u**3 - 2370*u**2.\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -118*y - 21. Let f(m) = -33*m - 6. Let p(i) = 7*f(i) - 2*x(i). Let k(j) = 5*j - 5*j + 6*j. Give p(k(l)).\nAnswer: 30*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 15351 + -402022?\nAnswer: -342231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence agaa when four letters picked without replacement from aagaaga?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3126 is divided by 57.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 106491 a multiple of 109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, 1, 2, 4, -3, 2884 in increasing order.\nAnswer: -3, 0, 1, 2, 3, 4, 2884","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8 - -32cc11?\nAnswer: 32cc06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggwowoogggggwggwggog. What is prob of sequence oowo?\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(-1\/3))**(1\/25))**1)**(-31) assuming o is positive.\nAnswer: o**(31\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 13962.74m in kilometers?\nAnswer: 13.96274","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -11\/4, 1\/5, 3, 3\/427532?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 4*a)*(-2 - a**2 + 27874*a - 26036*a + 2 + 3*a**2).\nAnswer: 8*a**3 + 7352*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 6021*j. Let s(a) = -4*a. Calculate h(s(i)).\nAnswer: -24084*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -2*y**5\/3 - 540*y**4 - 90238*y**3 - 265864*y**2\/3 + 179400*y = 0.\nAnswer: -575, -234, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -755, -784, -799, -800, -787?\nAnswer: -760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 129, 1378, 3453, 6354, 10081, 14634?\nAnswer: 20013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 247*v. Let q(p) = 3919*p. Determine q(i(b)).\nAnswer: 967993*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*y**4 + 5*y**4 + 1 + 0*y**4 + (-4*y**2 + 4*y**2 - 2*y**3)*(-3*y + y + 0*y).\nAnswer: 5*y**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 6268.11219 to 1 dp.\nAnswer: 6268.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 5*f**2 + 4 + 4*f + 4*f**3 + 2*f - 3*f**3. Let n(u) = -2*u. Let r be n(-14). Suppose 2*g = -5*g - r. Give z(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 450 = 5*f, 5*f - 68 = 4*f + 4*a. List the prime factors of f.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 11*n = -620. Let j = -116 + n. Suppose -3*m = -31 - 5. Calculate the least common multiple of m and j.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1740 - -1747. Let d(f) = f**2 - 2*f - 2. What is d(l)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -11*v. Let a be q(-3). Let k = 19 + a. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 w when two letters picked without replacement from gttttgwttttbwwtb?\nAnswer: 9\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of 0*b + 2 + 7\/3*b**3 + 3\/2*b**2. Find the second derivative of j(p) wrt p.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 125070467?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 15*s**2 + 18*s. Let t(g) = -8*g - 6. Let a be t(-3). Let k(w) = w**2 + w. Give a*k(h) - m(h).\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12 in 1\/5, -0.9, -3234?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*t - 24*t = 4. Let i(c) = 19*c - 2. Let m(b) = -1976*b + 209. Let z(r) = t*m(r) - 209*i(r). Let w(s) = 2*s**2. What is z(w(p))?\nAnswer: -38*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 486\/(-1188)*-22*62\/36.\nAnswer: 31\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 179 + -308. What is h rounded to the nearest 10?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 5*z - 4 = 6, 27 = -5*p + 2*z for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g**2 + 2*g**2 + 0*g**3 - 16*g**3 - 593*g + 616*g.\nAnswer: -16*g**3 + 23*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -195975.51 rounded to the nearest ten thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -30 - -18. Let t be (2\/h)\/((-4)\/6). Let u = -0.4 - -0.5. Which is the closest to u? (a) t (b) -0.1 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, d: 2, v: 1, f: 1, z: 2}. What is prob of sequence fz?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c - 2. Let t(s) = -s - 1. Let k be 1\/2*36\/18. Let a = k - -2. Give a*t(i) - 2*n(i).\nAnswer: -i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1447*s - 1446*s - 99 = 3*k, 3*s - 2*k = 325. Let g = -3 + 17. What is the remainder when s is divided by g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45203.\nAnswer: 17, 2659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -578 = 35*c + 1021 - 256 + 372 for c.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-556)\/(-14) - 5\/((-175)\/10) and ((-3)\/(-4))\/(-3) - 6627\/(-188)?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 23 - 23 - 2*b**2. Let n(j) = 11*j**2 + 10*j**2 - 20*j**2. Determine o(n(c)).\nAnswer: -2*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 46847236, 46847233, 46847230, 46847227, 46847224?\nAnswer: 46847221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 465240773 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 + 27 - 14 - 28*y)*(20 + 7 + 0).\nAnswer: -756*y + 27","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135*h - 349*h = -54*h + 6880 for h.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(85)*-4)\/(6*sqrt(30)\/sqrt(6)).\nAnswer: 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*p**4 - p**2 + p**2 + (2*p**2 + 2*p**4 - 2*p**2)*(-1 + 2 + 0) - p**4 - p**4 + p**4)*(-1 - 3 + 2)*(15*p - 4*p + 4*p).\nAnswer: -240*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of ((-16170)\/275)\/((-2)\/5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -1 (b) -3 (c) -4 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/846 and -35\/18?\nAnswer: 846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3484222 is divided by 96.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*o + 1897 - 937 - 950 + 3*o.\nAnswer: -o + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -29211, -234462, -791795, -1877250, -3666867, -6336686?\n\"Answer: -29340*j**3 - j**2 + 132*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*x - x**2 - 220 - 5402*x**3 - 9*x**2 + 2702*x**3 + 2699*x**3 to the form o + m*x**2 + n*x**3 + b*x and give m.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r - 8. Let u(o) = -o**3 - 7*o**2 + 1 + 2 + 0. Let d be u(-7). Suppose -3*g - 2*f = 6, g + 2*f = d*g - 6. Calculate x(g).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 less than 2842146?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 315 - 142. What is the tens digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -20\/900037?\nAnswer: -20\/900037","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 2*f**2 + f - 2. Let o be (-14)\/(-8) - (-1)\/4. Let b(h) = 9*h**2 - 21*h**2 + 2 + 11*h**2. Give o*q(j) + 3*b(j).\nAnswer: j**2 + 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -67 smaller than -2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 108707 + 498?\nAnswer: 109205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -34339\/203 or -168?\nAnswer: -34339\/203","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k*k\/(k*k**(-22))*k))\/(k\/(k**(-5\/9)*k))*k**(-21)*k\/(k*k\/(k*k**(2\/21))*k) assuming k is positive.\nAnswer: k**(-2927\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 2*z**2. Let v(q) be the second derivative of -3*q**4\/8 + 5*q**2 + 12*q. Let c(i) be the first derivative of v(i). Determine a(c(g)).\nAnswer: 162*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide 54027737?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 144 and 50609634.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 4*n**3 - n + 1. Let d = -53 - -52. Let m = 22 - 16. Let v(k) = -4 + m - 2 - 1 + k - k**3. Determine d*a(g) - v(g).\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*p - 8*p - p + 64*p.\nAnswer: 72*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 8243*r**3 - 32982*r**3 + 8244*r**3 + 8246*r**3 - r**2 - 12 + 8250*r**3. Let j be 1\/(-1)*(1 - 1). Determine h(j).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -31*p**2 + 2*p + 2. Give s(-1).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 535723 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*y = 44*y - 16. Suppose i + 28 = y*i - 4*u, 5*u = 10. Solve 0 = -9*j + 12*j + i for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -2*t**2. Let a(u) be the second derivative of -u**4\/6 + 31*u. What is k(a(f))?\nAnswer: -8*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.931 - 1.27. Let v = -2.287 + j. Round v to one decimal place.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of x**4\/12 - 7*x**3\/6 - 11*x**2\/2 + 21*x + 98. Determine r(10).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/297 and 73\/1122?\nAnswer: 10098","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 14793679 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6896 by 3.\nAnswer: -6896\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 61190217 to the power of 1\/4, to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1\/9))**33\/(w**(-11)\/(w\/(w\/(w\/(w\/((w\/(w*w**(-1\/12)*w))\/w*w))*w)))))**(2\/3) assuming w is positive.\nAnswer: w**(89\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10 and 380?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -87646, -87678, -87722, -87784, -87870, -87986?\n\"Answer: -y**3 - 25*y - 87620","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 25066\/(-1057) - 6\/21?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 307847888 from -1678.\nAnswer: -307849566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -15*q + 6. Suppose 7*z - 35 - 7 = 0. Let b(s) = 5*s - 2. Let h(v) = z*n(v) + 17*b(v). Does 16 divide h(-22)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*d + d + 3*d + d - 3*d.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -304, -296, -290, -286?\nAnswer: -284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*x + 2. Let y(h) = 6*h**2 - 3*h + 2. Let t be y(x). Let w = -2 + 3. Sort t, -2, w in increasing order.\nAnswer: -2, w, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -446 - -27204\/61. Suppose 15 = -5*r - 0. Let h be ((-1)\/r)\/((-12)\/36). Which is smaller: h or a?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 475720.5 centuries?\nAnswer: 47572.05","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1005 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 20*v + 6. Let j be b(-3). What is the common denominator of 10\/(-11)*j\/90 and (12\/(-14))\/(27\/(-714))?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*p**2 + 2108 - 2107 - 2*p**4 + 2*p**2 + 24*p to j*p**4 + w*p**2 + m*p + r + c*p**3 and give m.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -406, -1831, -4262, -7687, -12094?\nAnswer: -17471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + 10b32b96?\nAnswer: 10b32b9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 426583?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -150*g + 150*g - 7*g**3 + 12*g**2 wrt g?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 3532*w - 3530*w = 13, -16 = -4*w for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 19 = 3*n + z, 79*n - 128*n + 17 = -46*n + 4*z for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 12543433133 - -5?\nAnswer: 12543433141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of -j**5\/20 - j**4\/4 + 3*j**3\/2 + 2*j**2 + 54*j. Suppose -22 = 2*m - 2*b, m = b - 2*b - 1. What is the tens digit of t(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-61)\/((-51545)\/(-4056))*(-1)\/(-20)?\nAnswer: -6\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of -f**5\/20 - f**4\/6 - f**3\/3 - f**2\/2 + 3*f. Let g be d(-1). Is -0.1 at least as big as g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 52535350, 52535349, 52535348?\nAnswer: 52535347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.03 (b) 0.1 (c) -5 (d) 3226\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 511 and 194691?\nAnswer: 511","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.496 - -0.496. Suppose 1 - 4 = -3*i. What is the fourth biggest value in i, 4, o, 2\/13?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.68738 to 2 decimal places.\nAnswer: -1.69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-11) + 4\/(-22). Let n(v) be the third derivative of 5\/6*v**3 + 0 - 5*v**2 + z*v + 1\/24*v**4. Determine n(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -318.1 + 346. Let b = 29 - y. Let a = -4.9 - b. Is 0.1 greater than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-293 - -307) + -2 + 1?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.36910348 plus 117?\nAnswer: 116.63089652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -2, 0.2, 0.18?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 141\/101080 and 1\/320.\nAnswer: 808640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*1*((sqrt(180) + -1)*4 + (sqrt(5)*-1 - sqrt(5))*1 + 1 + sqrt(45)))**2.\nAnswer: -600*sqrt(5) + 12536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -713 + 1394. Let m(d) = b - d - 1359 + 681. Let k(n) = 3*n - 9. Determine -4*k(s) - 14*m(s).\nAnswer: 2*s - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-one halves of a millisecond in microseconds?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 196989779, 393979556, 590969333, 787959110, 984948887?\n\"Answer: 196989777*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b + 202. Let d = -59 - -59. What are the prime factors of h(d)?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -61*q. Let m(h) = h + 288. Calculate z(m(w)).\nAnswer: -61*w - 17568","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/(a\/(a\/(a**(3\/7)*a))))\/a*a**(-23))\/(a**(2\/57))**20)**(-27) assuming a is positive.\nAnswer: a**(90243\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 571421.\nAnswer: 17, 33613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -66? (a) -4 (b) -24 (c) 3\/5 (d) 46\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 134318814 and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 42*c + c + 495 + 924 for c.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 6*m - 2*x = 38, -2*m - 5*x + 25 = 0. Suppose m*d - 13 - 7 = 0. Let z(r) = -57 - 3*r + 57 + d*r. Let j(t) = 4*t**2. Determine z(j(g)).\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of 11*j**9\/15120 + j**5\/40 + j**4 - 8*j. Let p(c) be the third derivative of x(c). What is the first derivative of p(l) wrt l?\nAnswer: 44*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of -k**4\/16 + k**3\/12 + k**2\/4 + 8. Let i(d) = 0. Calculate d.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.4 + -0.4. Let n be (-5)\/(-22)*(-12)\/(-15). Suppose -p + 5 = -2*p. Which is the nearest to v? (a) 1 (b) p (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1102 (base 4) in base 3?\nAnswer: 10001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5553.134t to nanograms.\nAnswer: 5553134000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggpt when four letters picked without replacement from {t: 2, g: 4, p: 4}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 400 and 400.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -5\/2 (b) -3 (c) 4 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(((-9)\/7)\/(((-918)\/119)\/(-27))).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-1\/8)*i**0\/i*(i*i**(-1))\/(i**(-3\/4)\/i) assuming i is positive.\nAnswer: i**(5\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/24 and 49\/72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/16, 78, -14564?\nAnswer: -14564","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the third derivative of -l**5\/60 - 7*l**2. Let a(m) be the third derivative of 0 + 0*m**3 + 0*m - 1\/4*m**4 + 2*m**2. Determine y(a(b)).\nAnswer: -36*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -2 - 2. Let m be -2*f*(-10)\/4. Let c(h) be the second derivative of h**3\/6 + 2*h**2 - 15*h. Give c(m).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 267 greater than or equal to 117687?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 6*v + 4. Determine o(4).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/9 - 682\/1260. Let o = -1\/30 - s. Which is the biggest value? (a) 0.4 (b) 3\/5 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 4*h = -8. Suppose -2*f + 34 = 4*z - h, -3*f + 33 = 3*z. What is the greatest common divisor of 40 and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25\/7, -5, -203.3, 56 in decreasing order.\nAnswer: 56, -25\/7, -5, -203.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1708506015 to the nearest integer?\nAnswer: 41334","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5)\/(10\/(-113))*2. Let j = t + -73. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (20\/(-6))\/(80\/(-150)). Let u = j + -19\/4. What is the nearest to -2 in -1\/5, u, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.517? (a) -7 (b) 0 (c) -2 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.8 - -0.2. Let i = 31 + -31. Suppose i = 301*k - 296*k - 50. Which is the nearest to 0.1? (a) -0.4 (b) s (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -950*a + 16. Let d be w(-5). What is the units digit of (-74)\/(-111) + -2 + d\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*p - 24*p = -8. Suppose -2*x - 7 = 11. Let r be 33\/p*(-12)\/x. Calculate the highest common divisor of 198 and r.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -5*o - 25, -2*v + 4*o = v - 11. What is the remainder when -2 + 38\/(-4)*-2 is divided by v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 2*t + 106 = 0, 158*v - 4*t - 112 = 154*v. Calculate the least common multiple of 162 and v.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 12 = -6*p. Let w be (p\/4)\/((-18)\/8). Is 0 bigger than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -58*z**2 + 327*z + 19. Let w be x(6). Which is the third smallest value? (a) w (b) 2\/5 (c) -3 (d) -4\/5 (e) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -48 + 22. Let f = -14 - s. Solve -f - 3 = -3*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10.99 + -11. Let f = -0.09 + l. Which is the nearest to f? (a) 0.3 (b) 2 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 55102?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -10*l**5 - 24*l**4 - 24*l**3 - 8*l**2 - 2*l. Let m(w) = -20*w**5 - 47*w**4 - 48*w**3 - 17*w**2 - 5*w. Let a(c) = -9*b(c) + 4*m(c). Factor a(h).\nAnswer: 2*h*(h + 1)**3*(5*h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 417 is divided by 29.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - -515?\nAnswer: 510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 4*q - 8*q - 25*q**3 - 13*q - q + 3 - 3*q**2. Let u(k) = -k**2 + 1. Let f(n) = 3*u(n) - z(n). Find the second derivative of f(w) wrt w.\nAnswer: 150*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -495 - -875. Suppose 2*k - c = -2*k. Suppose -94 = -3*z + 2*a, 5*z - 2*z = a + k. Does 11 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vnq when three letters picked without replacement from {v: 2, q: 9, n: 1, h: 2, f: 1, i: 3}?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes after 11:15 PM?\nAnswer: 11:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes before 10:02 AM?\nAnswer: 1:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 600*w - 183*w + 459*w + 423*w - 262*w in the form q + o*w and give o.\nAnswer: 1037","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-28)\/(-16) - (-1)\/4. Suppose -a = -3*k + 6, -k + 69 = -4*a + t*k. Let m = a - -21. Solve l + 0*l - 5 = m for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.983335 rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -100 + 157. Suppose 0 = 701*y - 644*y - 2166. What is the greatest common divisor of s and y?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - 3 - (-3 - -6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23 - -51. Let i = z + -73.9916. What is i rounded to 3 dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.4, 3432, 0.5 in decreasing order.\nAnswer: 3432, 0.5, 0.4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -12, -385, 4, -4 in decreasing order.\nAnswer: 4, -1, -4, -12, -385","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 29*c**3 + c**3 + 0.\nAnswer: 30*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4 + -1*(-5 - -4). Sort 3, -64, 1, c in decreasing order.\nAnswer: c, 3, 1, -64","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23.17 - -24.241. What is i rounded to 2 decimal places?\nAnswer: 1.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -4 (b) -3 (c) -168 (d) -2.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(320))*1)**2.\nAnswer: -32*sqrt(5) + 324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 9*g = 4*g + 20, -4*b - 20 = -5*g. Suppose -2*c + 29 = y, -5*c - 2*y + 71 = -b*y. Let t = c + 2. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 94 + -107. Is (2764\/(-40)*26)\/(j\/65) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 3*w - 2*p, -4*w = 2*p - 0*p - 26. Let x(k) = 0 - w - k + 0. Suppose -12 = 32*i - 29*i. Give x(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5829 a multiple of 201?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t + 3*t = 30*t - 19. Put t, 3, 5, 2594 in descending order.\nAnswer: 2594, 5, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (34*n + 5*n + 55*n + 17*n)*(-2 + n + 2).\nAnswer: 111*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 94249*f**5\/3 + 23588038*f**4\/3 - 40958483*f**3\/3 + 3740128*f**2 + 1870428*f + 148176 = 0.\nAnswer: -252, -42\/307, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of -u**6\/21 + 16*u**5\/35 - u**4\/2 - 4254. Factor o(t).\nAnswer: -2*t**3*(t - 7)*(t - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -216 + 78 - 594*y**2 + 78 - 1052*y**4 + 60 wrt y?\nAnswer: -25248*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 331431420 (base 5) in base 9?\nAnswer: 2628434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110 - -10111111?\nAnswer: 10111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1145742 and 34539.\nAnswer: 1191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 59 - 131930?\nAnswer: -1318a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 202345 = 3*o, -15*w + 16*w + 67445 = o. Round o to the nearest 1000.\nAnswer: 67000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5976 divided by 160.\nAnswer: 747\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of a**4*m + a**4 + 57*a**2*m + a - 49*m wrt a?\nAnswer: 12*a**2*m + 12*a**2 + 114*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 219 + -239 - (10 + 3 - -2)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q. Suppose -4*n + 20 = -3*s - 0*n, -3*n + 15 = -5*s. Suppose r - 3*r + 4 = s. Let c(o) = -5*o**2 + 2*o**r + 7*o**2. Calculate c(i(p)).\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 7. Let u be (-1)\/((90\/(-24))\/(-15)). Let k be x*(1 + u + 5). What is the highest common divisor of 2 and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of p**4\/12 - p**2 - 6*p. Let v be a(-7). Let i = -9 + v. List the prime factors of i.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 579*c**2 + 23*c - 107. Is r(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -833*u**2 - 23328*u - 24. Give l(-28).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2826 + -1489. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -42 + 37 + -3 + 2 + 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19*l**3 - 19*l**3 - 79*l**4 + 38*l wrt l?\nAnswer: -948*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4253 + -4250. Solve 2*d = 4*i, 0 + 5 = i - p*d for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of k**5\/60 + 3*k**4\/8 - 11*k**3\/6 - 52*k**2 - 83. Let y(h) be the second derivative of u(h). Calculate y(-11).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.1593523 less than -0.637?\nAnswer: -12.7963523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of 0 - 8\/35*v**7 + 9\/4*v**4 + 9\/5*v**6 - 85*v**2 - 61\/20*v**5 + 0*v - 7\/8*v**3. Solve a(f) = 0 for f.\nAnswer: 1\/4, 1\/2, 7\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54972 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -10*m**3 - 66*m**2 + 39. Give i(-6).\nAnswer: -177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cug when three letters picked without replacement from ggguggggusggcgcg?\nAnswer: 11\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-14)\/70*(-15)\/18. Which is the closest to 1? (a) -2\/17 (b) -0.2 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2*x. Let d(j) = 8*j**2 - 6*j - 6. Suppose 0*p = -p - 77. Let s(h) = -105*h**2 + 77*h + 77. Let a(f) = p*d(f) - 6*s(f). What is z(a(y))?\nAnswer: -28*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 2*g**2\/9 + 2975956*g\/9 + 4959910\/3 = 0.\nAnswer: -1487973, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/2743218 and 79\/20.\nAnswer: 27432180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24966, -49934, -74902, -99870, -124838, -149806?\nAnswer: -174774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 81469 + -81464. Suppose y = 2*f, y = 5*y + f. Solve y = 5*k + 14 + 1, -5*o + a*k + 15 = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 AM and 2:47 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 8 = -2*p, 5*p + 27 + 13 = 5*m for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 129*g + 15094. Let u be k(-117). Let o(i) be the first derivative of -9*i**4\/4 - 3*i**2\/2 - i + 5. Let m(y) = -y**3. Determine u*o(d) - 6*m(d).\nAnswer: -3*d**3 - 3*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v + 8. What is the smallest common multiple of d(-6) and 11?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 94?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - -2. Let c be ((-10)\/(-8))\/((-95)\/(-38)). What is the biggest value in q, -2\/13, c?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(1053)*-1 - sqrt(1053))*-3 - (sqrt(1053)*-2 + sqrt(1053) + 3 + (0 + sqrt(1053))*6))**2 + -1.\nAnswer: 432*sqrt(13) + 67400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*x**3 - 2*x**2 + 2*x**2 + (0 + x + 0)*(x**2 - 2*x + 2*x) + 0*x**2 + 0*x**2 + 2*x**3 as b*x**3 + k + g*x + i*x**2 and give b.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 16489698.\nAnswer: -1\/16489698","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01133047 to two dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.61 * -0.1189\nAnswer: -0.072529","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -134070 = -317003*h + 313733*h for h.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yuuy when four letters picked without replacement from uqqyyquqy?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = k, -34*y + 2*k + 461332 = -32*y. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 35 = -5*j + 3, 0 = 5*j - 5*y - 40. Suppose -5*h - j*h = -198. What is the smallest common multiple of 12 and h?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 62\/243 and 53\/21?\nAnswer: 1701","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1006 + -1005.9233. What is z rounded to two decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-z + 3*z - 3*z)*(0*z**2 + 0*z**2 + z**2) - 243*z**3 - 752*z**3 - 361*z**3 to the form j*z**2 + g*z + c*z**3 + p and give c.\nAnswer: -1357","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 + 2. Let r(f) = -2*f**3 - 5*f**2 + 2. Let n(t) = 3*t**3 + 7*t**2 - 3. Let d(z) = -5*n(z) - 7*r(z). Determine 5*d(q) - 3*s(q).\nAnswer: -2*q**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*n**4 - 2*n**4 - 1 + 2*n**3 + 0*n**4 to h*n**4 + m + y*n**3 + x*n**2 + g*n and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -10 * 430649\nAnswer: -4306490","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 = n - 25 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24113 is divided by 4009?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fourty-three halves of a millimeter?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 56 = -20*v, -41*v + 36*v + 10 = -5*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4762\/15 or 316?\nAnswer: 4762\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7251713?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**5 + x**4 - x**3 + x. Let j(d) = -4*d**5 - 8*d**4 + 11*d**3 - 5*d. Let i(k) = j(k) + 5*p(k). Find y, given that i(y) = 0.\nAnswer: -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 833 and 196?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (52945 - c**2 + 27063 + 11068 + 8622)*(4 + 1 - 3).\nAnswer: -2*c**2 + 199396","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 3. Let w = -1\/51 - 95\/357. What is the nearest to b in w, -0.1, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4411400012 (base 5) to base 14.\nAnswer: 138b3a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 125 divide 213811?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*x = 28*x - 33 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 146405632 to the power of 1\/3, to the nearest integer?\nAnswer: 527","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10110001 + 0?\nAnswer: 10110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 9}. What is prob of picking 4 f?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*-8815.\nAnswer: 1763","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396)\/sqrt(9) + 2)*-4*2.\nAnswer: -16*sqrt(11) - 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (38480\/(-195))\/148*(-2)\/(-120)?\nAnswer: -1\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + i + 56 - 44 = 0, -3*c - 4*i = 28 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 551780 - 2048207345\/3712. Calculate the common denominator of -97\/2 and l.\nAnswer: 3712","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 2*i = -q - 4, 2*i = -5*q - 20 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -381 - 1519. What is k rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 103161289?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8*r + r - 8*r)*(-11 + 11 + 12)*(-1 - 2 + 5) as t + w*r and give w.\nAnswer: -360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2110 to the power of 1\/2, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 45 = 4*u, -5*u - 5 = -8*u - 4*t for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4583.9 + -4555.9. Let x be ((-14)\/(-175))\/((-2)\/(-10)). What is the smallest value in -10, x, d?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 + -38 - (1 + 2) - (92 - 34)?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 241430 - 2?\nAnswer: 241423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*f + 10*f + 830 = 0. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/41 (b) 37 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 44351 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 6*m + 9 = 0. Let l be m*(1 + 1)\/(-2). Calculate the remainder when ((-14)\/l)\/(1\/(-3)) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 0.2 (b) -0.3 (c) 22 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = w + 41 - 45, -3*r - w + 4 = 0. Which is the second smallest value? (a) -2 (b) r (c) -7 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of -19*n**5\/60 + 33*n**2. Calculate z(1).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the third derivative of w**6\/120 + 2*w**5\/15 + w**4\/3 + w**3 - 50*w**2. What is the lowest common multiple of v(-6) and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 3*a**3 + a**2 + a - 1. Let o(f) = 11*f**3 + 3*f**2 - 2*f + 2. Give o(y) - 2*w(y).\nAnswer: 5*y**3 + y**2 - 4*y + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 168 take away -64082.8141135?\nAnswer: 64250.8141135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(624) + (-3*sqrt(624)*4 - sqrt(624))))\/((sqrt(3)*1 + sqrt(3))*-5 - (sqrt(75) + -5*sqrt(75) - sqrt(75))).\nAnswer: -96*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -223 + 62 + 161 + 17120*z.\nAnswer: 17120*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + 0. Let r = 1065.1 + -85.1. Let o = r - 977. Which is the closest to -0.1? (a) y (b) o (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**3 + 29*h**2 + 138*h - 4876. What is t(14)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 - (4 - 1) - -1. Suppose -s - 4*l - l + 35 = a, 0 = 5*s + 3*l - 87. Suppose -6*m = -3*m + s. Let b(h) = h**2 + 7*h + 3. What is b(m)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12\/57*(-213237)\/(-774)\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnacfavnfcann. What is prob of sequence faa?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 202b4f (base 16) in base 6?\nAnswer: 113104211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.338205um to centimeters.\nAnswer: 0.0000338205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 p when four letters picked without replacement from prrrppptrptr?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3967 + 8024. What is the thousands digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1595249 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -5, 3\/5, -56116?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -18620 + 0.021375\nAnswer: -18619.978625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 5 - (-19 + (14 - 8) + (6 - 2))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78)*1 - sqrt(78))*-2 + -1*sqrt(78)*3)\/(2*sqrt(96) + -1*sqrt(150)).\nAnswer: -sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 22*k**3 - 10*k**2 - 3*k - 7. Let f be w(5). Let r be f\/(-77) - 2\/(-11). Let l = 35 + r. Solve x - 3*t = 11, 0 = -2*x + l*t - 5 + 12 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.4, -1\/9, 2.43, 0.01, 1?\nAnswer: 2.43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.0097? (a) -1\/10 (b) -3 (c) 0 (d) -2\/9 (e) -5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54263.53 grams to milligrams.\nAnswer: 54263530","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -112128 (base 12) to base 5.\nAnswer: -32220300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + ((2 - (7 - 10)) + -4 - -13).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 5*l - 2. Let w(i) = 14*i - 6. Let q be ((-15)\/2 - 2) + 54\/36. Determine q*c(f) + 3*w(f).\nAnswer: 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*a - 5 = -a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 3*u**2 + 169*u - 16758. Determine i(-108).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 136*z**3 - 14*z**2 + 6*z - 9. Let d(c) = -91*c**3 + 9*c**2 - 4*c + 6. Let u(n) = -8*d(n) - 5*f(n). Is u(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + x - 37, 5*x = 3*j + 4*x - 63. Let h = 1 - -1. Is j + h + -2 + 3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*f**3 + 6*f**3 + 71*f**2 + 70 - 71*f**2.\nAnswer: 2*f**3 + 70","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, 109 in increasing order.\nAnswer: -5, -2, 109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-74 - 71 + 145 + 317*g)*(23*g + 13 - 13 - 4*g - 5*g + 0*g + g - 4*g + 4*g + (3 + 4 - 5)*(-2*g + 0*g + g)) in the form f*g + a + q*g**2 and give q.\nAnswer: 4121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1778815.\nAnswer: 5, 355763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 458057.\nAnswer: 458057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 - f + 1. Let c(k) = -k**3 + 13*k**2 + k - 12. Let b be c(13). Let d(z) = -2 - 8838*z**2 - 2*z + 3 - 2*z**3 + 8839*z**2. Give b*d(m) - 2*w(m).\nAnswer: -2*m**3 - m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1405865129 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/16*(-32)\/104*-2*1?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 468*a*c**2*n**2 + 2*a*n**2 - 134*a - 2*c**2*n wrt n.\nAnswer: 936*a*c**2 + 4*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10571, 8866, 7161, 5456, 3751, 2046?\nAnswer: 341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.43? (a) -76\/49 (b) 3 (c) -6 (d) 21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z**3 - 8*z**3 - 12*z**3)*(2 - 2 + 2)*(2 - 5 + z + 1).\nAnswer: -32*z**4 + 64*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23*v - 6*v + 41*v to w*v + n and give w.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.5336874ng?\nAnswer: 0.0000000000000005336874","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10 + 6*l - 5*l - 4*l**3 + 3*l**3 + 6 to w*l**3 + g + c*l**2 + y*l and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from dxxxxudxxddxudxu.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 130\/25 - (-2)\/(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 9*h**2 + 26*h - 155. Calculate k(6).\nAnswer: 325","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16 + -9. Let u(p) = -8*p**2 - 3*p + 8. Let i be (2\/(-4))\/((-25)\/(-30) - (-9)\/(-12)). Let l(f) = -7*f**2 - 3*f + 7. What is a*l(w) + i*u(w)?\nAnswer: -w**2 - 3*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 19 + 12. Suppose q = 4*p - 5. Let m be 1\/p*(-9)\/(-3). Which is greater: -1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 90 + -85. Put 11, d, 3, -4 in descending order.\nAnswer: 11, d, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, 0, 913554.\nAnswer: -3, 0, 2, 913554","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 4002801, 4002802, 4002803, 4002804?\n\"Answer: i + 4002800","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*w**3 + 17092*w**2 - 12832*w - 4276.\nAnswer: 4*(w - 1)*(w + 1069)*(4*w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -390822850 rounded to the nearest one million?\nAnswer: -391000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*k - 20 = 10*k. Suppose k*w = 10*f - 5*f - 590, -4*w - 124 = -f. List the prime factors of f.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 5 + 7*x**2 - 8*x**2 + 1797*x - 1794*x. Let a = -11 + 15. Let h be b(a). Solve f + 2 + h = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h**0*h**7*h*((h*h\/h**4)\/h)\/h**(-2\/7) assuming h is positive.\nAnswer: h**(44\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (18 - t - 18)*(-2 + 2 + 1) + 0*t - 13 + t - 2*t in the form b*t + y and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 263481 to the nearest integer?\nAnswer: 513","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10442880 and 47360?\nAnswer: 20885760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(5 + -1 + 1 + sqrt(1331) + 4)*-6.\nAnswer: -330*sqrt(11) - 270","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 14 - 3 + 1 - 4*c + 3*c. Let o be a(10). Let y = 219 + -219. Solve 0 = -y*q - o*q - 5*p - 20, -4*q - 3*p - 12 = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -19*w**3*y**4 + 139*w**3 - w*y**2 - w*y - y**5 wrt y?\nAnswer: -228*w**3*y**2 - 2*w - 20*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.03 * -5605.\nAnswer: 168.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/3 (b) -31 (c) -3\/8 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y**2 + 16*y**2 - y**4 + 26*y - 2*y**2 - 4*y + 2*y**3 + 8 - y**4 = 0. What is y?\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 326\/11 - 324\/11. Suppose 0 - 2\/11*k**4 + 0*k - 4\/11*k**3 - t*k**2 = 0. What is k?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 16, 24, 36, 52, 72, 96, 124?\n\"Answer: 2*s**2 + 2*s + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c - 6. Let q = -15 - -7. Let i be h(q). Suppose -i*d + 6*d = 844. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -101*m**2 - 74.\nAnswer: -202*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -131, -19, 4, -13.\nAnswer: -131, -19, -13, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/713304 and -2\/267489.\nAnswer: 2139912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 139\/2626740 and 131\/120.\nAnswer: 5253480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 12 - 42 + b**2 + 0*b**2 - 12*b - 2*b**2. Let y be f(-4). Calculate the highest common divisor of y and 62.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 f when three letters picked without replacement from {t: 2, k: 2, f: 1, m: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1584*d + 7368 - 3956 + 45692 for d.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22544585 and 644131.\nAnswer: 22544585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*u - 4*u + u**3 + (0*u + 0*u + 2*u**2)*(-2*u + 2*u - 2*u) + u**3 - 2*u**2 + 2*u**2 + 2367*u**3 + 5465*u**3 - 902*u**3 + 2642*u**3.\nAnswer: 9570*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3507 (b) 0.2 (c) 1 (d) -9 (e) 2 (f) -1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 534355 + -11?\nAnswer: 534344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -8*v**3 + 2*v**2 - 409*v + 1. Let k(r) = 22*r**3 - 6*r**2 + 1228*r - 3. Determine 3*k(p) + 8*u(p).\nAnswer: 2*p**3 - 2*p**2 + 412*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 12:40 AM?\nAnswer: 5:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 - 9 = 4*c. Let r = c + 17. Suppose 8*q = 3*q - 2*v + 14, -4*v = 3*q. What is the smallest common multiple of q and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 34 + -6 - (-328 + 449)?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44851219.\nAnswer: 7, 17, 23, 2341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 - 38\/3. What is the third biggest value in t, 2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*-110947.\nAnswer: 44378.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3643 = -450*t - 943 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -5, -6, 0.1, -3\/23 in decreasing order.\nAnswer: 0.2, 0.1, -3\/23, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -75 + 107. Suppose 5*g = -2*b - 2 + 133, -3*b = g - 34. Is z greater than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i - 32. Let v(r) = -r - 1. Let j(m) = -q(m) - 3*v(m). What are the prime factors of j(0)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4a (base 13) in base 4?\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 458413 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -50\/207 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*n = 78*n + 2664. Let v = -143 + n. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 35452?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-23 + 0 + 23 - -18) + (-1 - 0)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1498898.7 minutes?\nAnswer: 24981.645","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -s + 1525, -618 = 2*l - s - 1628. Suppose 10*b = 353 + l. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -330*p = -329*p - 4 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a9 + -5729?\nAnswer: -57d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20 - 15. Suppose -h + 5*i = -26, -5*h - u*i - 5 + 45 = 0. Calculate the highest common divisor of h and 77.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 733 and -3.89?\nAnswer: 736.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the second derivative of t**4\/12 + t**3\/6 + 77*t**2\/2 - 3*t. Let k(f) = -f**3 - 10*f**2 + 12*f + 11. Let h be k(-11). Is z(h) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(2 + (3 + 2*sqrt(468) - (2 + 0 + sqrt(468)))**2)*2*2*1.\nAnswer: 192*sqrt(13) + 7536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/100 and -65\/96?\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - 1411?\nAnswer: -1413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jtkjnjnklnnljnnjlk. What is prob of picking 1 j and 1 l?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = 14*v - 22*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 9671, 9978, 10287, 10598, 10911, 11226?\n\"Answer: m**2 + 304*m + 9366","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1486 is divided by 134?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 6*c**2 + 2*c - 4. Calculate h(5).\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-5)\/(-2) + -3)*26. Let o = 25 + v. Suppose -3*r = 2*f - 4, -3*r - 2*r = 2*f - o. Solve 0 = 2*h - r*l, 0*h + 2*h - 3 = l for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 13589082 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + c = 7*r + 11, -2*r - 7 = -3*c for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 38 - 65 - (-15 + -9)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 4*m**2 + 7*m + 2. Let t be s(-2). Suppose -21 = 4*g - 9, 4*g + 20 = t*v. Solve 0 = x - 6*x - 5*p + 15, -v*p = 4 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes before 3:21 PM?\nAnswer: 10:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32388 and 348.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1732721 - 790121309\/456. Let x = 26\/57 - k. Calculate the common denominator of -5\/6 and x.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/4908 and -35\/6?\nAnswer: 4908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -2*l + 30. Let d be a(15). Suppose 10 + 25 = w + z, 0 = -2*z + 4. Suppose w = s + 13. Solve -4*t - 4*q = -s, d*t - q + 9 = 5*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3 - -2)\/(3\/(-24)). Let r = 5 - v. What is the biggest value in 0.3, -0.2, r?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 343?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-2))\/(5421\/(-110227))?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1026 + -511?\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11110111001 - 100000100011001111?\nAnswer: -100001000010001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 3 = -15. Let r be ((-268)\/y)\/(1\/6). Let z = -88 + r. Which is smaller: z or 2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the first derivative of 54*v**5\/25 + 20682*v**4\/5 + 55104*v**3\/5 + 55088*v**2\/5 + 4896*v - 3561. Factor k(h).\nAnswer: 2*(h + 1530)*(3*h + 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 31 (b) 15 (c) -47\/4 (d) -19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 5576?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence on when two letters picked without replacement from uounuiuuieioeuoouo.\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 + 8*u**2 + 16*u - 12. Let i be v(12). Let l = 405 + i. Solve 4*a + 7 + l = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30 * 74\nAnswer: 2220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*f = 4*o + 67*f - 80, 11 = 3*o - 10*f for o.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 501?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 15*a**2. Let p be i(2). Suppose 5*o - 8*o = -p. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12396 and 646.\nAnswer: 4003908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**2 - b + 34. Let n be r(0). Suppose 4*j + 2*v - 7*v = n, -17 = -j - 3*v. Calculate the least common multiple of j and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 20663 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2*i + 19. Let w be t(-10). Let a be 6*w\/(1\/1). Which is greater: a or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 32 = -9*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 - 4*f**2 + 7*f + 27. Let c be k(-5). Let u be (2\/((-10)\/21))\/(c\/(-85)). Solve 24*y - 6 = u*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 39*h**3*p**3*x + 2*h**3*p**3 - 24*h**3*p**2 + 79*p*x - 345 with respect to x.\nAnswer: 39*h**3*p**3 + 79*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -7*v**2 + 7361*v + 66160. Calculate t(-9).\nAnswer: -656","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49607.\nAnswer: 113, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 - 6*c + 6. Let t be 2 - -5 - (-2)\/(-2). Let s be h(t). Suppose 3*g = 9 + s. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1110.03 + -1110. Let h = 14 - 43\/3. Is h < p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z - 2. Let k be v(2). Let t(r) = -r + 1. What is the units digit of t(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5)\/4*2*2. Let a be 42\/b + 8\/20. Is ((-2)\/(-3))\/(a\/(-804)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 6, r: 1, z: 1, e: 9}. Give prob of sequence zrx.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + g + 311 = 0, o + 0*o + 3*g = 97. What is the tens digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-62)\/124 - (-7)\/10. Let t = 64 - 63. Is d at most as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -22\/75 - 1\/25. Let m = 72 - 71.6. What is the third biggest value in m, 3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 - 2*d - 6*d**2 - d**2 + 8 + d**2. Let t(k) = k - 18. Let p be t(12). Let a be y(p). Calculate the greatest common divisor of 140 and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 16.6 and -17997.\nAnswer: -298750.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43912*t**2 - t - 21960*t**2 + t - 21964*t**2.\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -2*b. Let m(p) = 5*p**2 - 25*p. Calculate q(m(f)).\nAnswer: -10*f**2 + 50*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*2 - (-12)\/(-6). Let g = -0.053 - -61.053. Let u = -62 + g. Which is the closest to z? (a) 1\/3 (b) -2\/15 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j - 7*j - 4 = 0. Let u be j + -4 - (-4 + 0). Suppose -u*w + 4 = -10. Calculate the smallest common multiple of 7 and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*v - v + 4. Suppose p - 5*r + v = 11, -5 = 5*r. What is the units digit of (-1)\/(-3 + p) + 16?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -861100 to the nearest 10000.\nAnswer: -860000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n - 2 + 2 + (-3*n + 2*n - n)*(2 + 3 - 4) + 4*n + n - 3*n)*(-38*n**2 - 105*n**2 + 25*n**2).\nAnswer: 118*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -238356 (base 9) in base 5?\nAnswer: -14101112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 - 5*x + 14*x.\nAnswer: 9*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/4*8\/(-6). Let d = -2 + w. Find the third derivative of 3*x**5 - 2*x**2 - 2*x**5 + d*x**5 wrt x.\nAnswer: 60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5 and 1230.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 28 + -10. Which is greater: x or 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, -121, 453 in decreasing order.\nAnswer: 453, 3, 1, -121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2796328105 to the nearest integer?\nAnswer: 52880","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8469?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1617*r + 0*r**3 + 2*r**4 + 1605*r + r**3 - r**4 to s*r + u*r**3 + g*r**4 + j*r**2 + i and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -141*k = -129*k - 516. Solve k*m = 35 - 207 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 t, and 2 h when four letters picked without replacement from qpypthh.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19.04 + 19. Let n = v + 0.04177. Round n to 4 dps.\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11886270 divided by 792418?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (8 - -4)*(8\/6)\/4\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126*p + 124*p + 404 = 0. Solve -43*g = -p + 73 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hcbunmc. What is prob of sequence cuc?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + (-2 - -1) + -37. Let n = -19 - k. Solve -n = 5*a, 5*f + 2*a = f - 16 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 20.4656 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-96)\/(-288)*(-6)\/10?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1050328288 at most as big as 1050328287?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 29 and 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20666 is divided by 2039.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a + 4. Let x be w(9). Let u = 6 - x. Let l = u + 0. Is l a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 3*p. Let a(q) = q + 9. Let n be a(-5). Let y(x) = -x**2 - n*x**2 - x**2. Determine k(y(g)).\nAnswer: -18*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 + 12 = -4*q - l, 4*q + 63 = 5*l. Let w = q + 15. Let b = 7 - w. Solve 5*z - b*h = 19, 2 + 0 = -2*h for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 23 - 8. Suppose 5*j = -3*t + 6, 3*j - n - 9 = t. Find the second derivative of j*b**2 - 2*b**2 + b + b wrt b.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**4\/2 + 3*c**3 + 15*c**2\/2 + 4*c.\nAnswer: -c*(c - 8)*(c + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 107.0000061 + -107. Round m to 5 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(2058) + sqrt(2058))\/(sqrt(6) - (sqrt(24) - sqrt(96)\/sqrt(4))).\nAnswer: 14*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 3 = -3*t + 13, -12 = -4*q - 2*t. What is the hundreds digit of (0\/(-34) - q\/2)*-1726?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 189658749*s**2 - 300555125 wrt s?\nAnswer: 379317498*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n**2\/5 + 96*n\/5 + 20 = 0. Calculate n.\nAnswer: -1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -805 + -2718?\nAnswer: -3523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 65414 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = d, 2*x = 5*d + 4 - 22. Let p be (-5 + 6)*-5 - -7. Let g(c) = 9*c**3 - 10*c**3 + 2*c**2 - 3*c + 6 + c + p*c**2. What is g(d)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 3:03 PM?\nAnswer: 3:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u\/u**(2\/5))\/((u\/(u\/(u*(u*u**(-21)*u)\/u)))\/u))**(-27))**(3\/4))**34 assuming u is positive.\nAnswer: u**(-141831\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16 and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1563504.1 + 1568671.5935. Let u = o + -5169. Let q = -1.5 - u. What is q rounded to 3 decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 255, 254, 253?\n\"Answer: -s + 256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 369237468.\nAnswer: 2, 3, 79, 137, 2843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(120)\/(sqrt(294) + sqrt(6)) - ((sqrt(300)\/sqrt(5))\/sqrt(3) + sqrt(20) + sqrt(20)))\/((2*sqrt(2000))\/((sqrt(32)\/sqrt(4))\/sqrt(4))) + -4.\nAnswer: -4 - 23*sqrt(2)\/160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 36*j - 21. Suppose 0 = -9*a - 11 - 7. Let z = 30 - a. Suppose -37*t = -z*t + 20. Let m(h) = -7*h + 4. What is t*v(x) - 21*m(x)?\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1127, -4, -5, 5, 239 in decreasing order.\nAnswer: 239, 5, -4, -5, -1127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - s = 0, 0 = 2*q + s + 4*s. Suppose y - 5 = -q. Suppose -y*v - 5*h + 188 = -4*h, -3*v + 123 = 4*h. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**2 + 5004*h + 10566288.\nAnswer: -4*(h - 2367)*(h + 1116)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -255509349*t**6 - 221496*t**2 - 4*t + 2?\nAnswer: -30661121880*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 - (-1 + -16 + (-4 + 2 - 68)).\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 686 and 35917?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than -16\/7445?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*k - 112*k + 86 = 694 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 29, -27, -133, -289, -495?\n\"Answer: -25*d**2 + 19*d + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of f**5 - 1548*f**4 + f**3 + 25849*f wrt f?\nAnswer: 20*f**3 - 18576*f**2 + 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjxx when four letters picked without replacement from jxjjxx.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of -19*o**4\/12 - 4*o**3 - 42*o. Find the second derivative of m(r) wrt r.\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3847)\/(1\/2*-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.69 + 116.69. Let f = z + -115. Sort f, 2, -3, -7 in decreasing order.\nAnswer: 2, f, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94 - 106 = -4*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -42 + 43. Solve 10 = -g - g + 2*x, -4*x - u = 3*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*h = 65*h + 4 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -966285, -966319, -966353?\nAnswer: -966387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2994 + 10*k**3 - 2994.\nAnswer: 10*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 3:55 AM?\nAnswer: 6:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 1 = -c, 2*c + 3*c + 3*f - 7 = 0. Let u be c - -44*(-3 + 0 + 2). Let g = u + 44. Let p(z) = z**3 - 4*z**2 + 3*z - 1. What is p(g)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20\/7 at most as big as 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*m - 7*m + 5*m - 1 + 2*m to d + f*m and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -107678 divided by -2.\nAnswer: 53839","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 931, 870, 711, 406, -93?\n\"Answer: -8*c**3 - c**2 - 2*c + 942","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 68\/249 and 61\/9?\nAnswer: 747","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*q = 21*q - 60 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3551 is divided by 148.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 18 - (2878 - 2910)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -512, -2, 2\/95, -4\/3, -8\/3, 5?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lggjmoxj. Give prob of sequence om.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -38992 by -4874.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 7660 and -0.3?\nAnswer: 7660.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 40 = 2*d + 3*p, d = 2*p - 15. Which is bigger: -27 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -41, -64, -87, -110, -133, -156?\n\"Answer: -23*x - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 32803098 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w**5\/5 - 998*w**4 + 482162*w**3\/5 - 11826026*w**2\/5 + 14831136*w\/5 + 32869944 = 0. What is w?\nAnswer: -2589, -3, 5, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1447 - -1473. Are r and -11 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 487386613 to the nearest integer?\nAnswer: 787","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/15)\/(x\/(x\/(((((x**(1\/2)*x*x)\/x*x*x)\/x*x)\/x*x)\/x)*x))*x*x**(-5)\/x*x*x**6)\/((x**0)**(5\/3)\/(x*x**(-3\/4)\/x*x*x**2*x)) assuming x is positive.\nAnswer: x**(233\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -0.5, 0, -6766\/5, 1.9 in increasing order.\nAnswer: -6766\/5, -0.5, 0, 1.9, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 8 = -2*p + 6, 902*p - 899*p = -51*n + 21 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 586 - 512. Suppose k*t - 3*z = 69*t + 77, -4*z = 3*t - 52. What is the highest common factor of t and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zh when two letters picked without replacement from {x: 2, h: 1, i: 4, q: 7, z: 4}.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - -0.1. Let j = -18.57 + -0.73. Let x = j - -19.2. Put m, -1\/8, x in ascending order.\nAnswer: -1\/8, x, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/18)\/(36\/324). Solve -2*g = h*f, 22*g + f = 27*g + 12 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mfm when three letters picked without replacement from {m: 10, f: 2}?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from epeppeepppp. Give prob of picking 1 e and 1 p.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60805.\nAnswer: 5, 12161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -102*n + 35*n - 354*n + 23*n.\nAnswer: -398*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-3 + ((6*2*sqrt(114) - -4*(sqrt(114) - -3*sqrt(114)))\/((-4*-1*sqrt(18))\/(2*sqrt(300) - sqrt(300))))**2).\nAnswer: -465485","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 + 8*g**2 - 11*g - 36. Calculate n(-11).\nAnswer: -278","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 111 (b) -38 (c) 23.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 78207 and 55151.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.018 - 0.01823. Round r to 5 dps.\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21032 + -10330?\nAnswer: 10102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, -1191285, 1?\nAnswer: -1191285","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1108.5 - -1109. Which is the closest to 6? (a) 0.2 (b) r (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(4\/7)\/b)\/b**14)\/((b**21\/b)\/(b\/((((b\/b**(3\/7))\/b)\/b)\/b))) assuming b is positive.\nAnswer: b**(-31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 - -9.6. Sort -5, -0.5, o in descending order.\nAnswer: o, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.5 + 0.3. Suppose 0*g + 4*g = 16. Let n = -6 + 7. Which is the third smallest value? (a) n (b) r (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sccc when four letters picked without replacement from cccccscccccccccccccc.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 412752 is divided by 58940?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -1544*f + 71. Is r(-13) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15.18 * -8.8.\nAnswer: -133.584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1bb (base 14) to base 3\nAnswer: 111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*z**2 - 91*z + 182*z - 105*z + 7 in the form q + y*z + c*z**2 and give y.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8975622*z**2 - 89356249 wrt z.\nAnswer: -17951244*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3 and 223.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 350 and 6335?\nAnswer: 63350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -50 - -52.1. Let u = p + -2.2. Let o = -562\/5 - -113. Which is the biggest value? (a) o (b) -2\/21 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -5*m + 2. Let k be q(0). Let s(h) be the second derivative of 5*h + 0*h**k + 1\/2*h**4 + 0 + 0*h**3 + 3\/20*h**5. Let s(u) = 0. What is u?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24000 (base 9) to base 11\nAnswer: -11060","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.0811 + 0.2355. Let n = -0.32 + w. What is n rounded to 3 decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 5*t = -5, -4 = 78*v - 79*v - 2*t. Suppose 8*f**v - 8*f + 3\/2 = 0. What is f?\nAnswer: 1\/4, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5665114 to the power of 1\/2, to the nearest integer?\nAnswer: 2380","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100*m - 96*m - 102*m + 464*m - 100*m - 67*m.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iiaa when four letters picked without replacement from iiaaiaaaaa.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 - -6. Let w = 4 + m. Let f be (1\/1)\/((-3)\/(-12)). Sort -2\/15, f, w.\nAnswer: -2\/15, w, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3280684 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 j(n) = 9*n - 195. Suppose -2*v = l - 19, -29 + 119 = 4*l + v. Calculate the remainder when 39 is divided by j(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/198930 and 88\/298395.\nAnswer: 596790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(0 + (sqrt(243) - (sqrt(243) + 1)))*-6*-2.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.5, -0.2, 3\/2, 1047, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -9763.98194 to the nearest one hundred.\nAnswer: -9800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = 3*g - 379 + 365, g = 3*i + 8 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/4*1\/(-9)*-3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d = -2*d. Let a = d - -2. What is the remainder when (-26)\/(-6) - (-8)\/(-24) is divided by a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 - (-35 - (46 - 93))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.0664 - 0.0565. What is the third smallest value in w, 4\/7, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 + h + 2. Let n be l(0). What is the second derivative of -m**4 + 0*m**n + 0*m**2 + 0*m + 2*m wrt m?\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/4)\/(120\/640)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 458, -3\/8, 1\/3, 3526?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1456, 2514, 3560, 4588, 5592, 6566, 7504, 8400?\nAnswer: 9248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -148 + 2656000?\nAnswer: 2655852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 112, 39, 63, -5, 5, 3.\nAnswer: -5, 1, 3, 5, 39, 63, 112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7\/6? (a) 15.95 (b) 3 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 20 (b) -0.2 (c) 2\/11 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 230\/17 or -0.11?\nAnswer: 230\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 24 and -234?\nAnswer: -5616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4926797\/28 + -175938. Let j = w + -75\/4. Solve -10\/7*z**2 - 8\/7 - j*z**3 - 16\/7*z = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*s + 14 = 36 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -20587.56 plus 2883?\nAnswer: -17704.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -385 - -900. Let t = 7 + 7. What is the units digit of 4\/t - 0 - h\/(-35)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.17 - 38.83. Let k = -38.8 - t. Which is greater: k or 0?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6728385?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1 + 9*k + 313*k**2 - 23 - 2*k - 7 - 1 wrt k?\nAnswer: 626","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5954, 5952, 5950, 5948, 5946?\nAnswer: 5944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**(-1\/3))\/w)**(2\/19))**(3\/7)*(w*w**6*(w\/(w*w**(-1)))\/w)**33 assuming w is positive.\nAnswer: w**(30721\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -9*q - 2. Suppose -q*i = -14 - 10. Solve 4 = m + i for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 4*i + 623 = 0, 0*i - 244 = -2*x + i. What is the second derivative of 1 - 7*u - 122*u**3 + x*u**3 - 1 wrt u?\nAnswer: 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(6292) + 2)**2.\nAnswer: 88*sqrt(13) + 6297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -67620 by 230.\nAnswer: -294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r**3 - 2*r**3 + r**3 + (r**2 + 2*r**3 - r**2)*(-3 + 5 - 1) - 2*r**3 + 2*r**3 - r**3 + 3 - r**3 - 3 + 2*r**3 + 2*r**3 + 3*r**3.\nAnswer: 8*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 12*l + 47221. Let j(t) = 20*t**2. Calculate z(j(m)).\nAnswer: 240*m**2 + 47221","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 231167.\nAnswer: 31, 7457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1399 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*w - 7*w**2 - 21 + 2*w**2 + 16 + 3*w**2 to the form d*w + z + u*w**2 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 564 a factor of 1051389743?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -601 - 53299.\nAnswer: -53900","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -9547*j + 190523. Calculate u(20).\nAnswer: -417","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.94984894 rounded to 3 decimal places?\nAnswer: 0.95","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2388032.77*6\nAnswer: -14328196.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -33*(-96)\/(-5016)*304\/(-48)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 34*l**2 + 7*l. Suppose 5*q = -2*d - 28, -3*q - 16 = q. Let x(t) = -17*t**2 - 4*t. Calculate d*o(n) - 7*x(n).\nAnswer: -17*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -56 + 56 - u - 3*u. Let p(r) = r**2 - r - 4. Let s be p(-2). Let k(c) = -15*c**2 + 5 + 16*c**s - 5. Give k(f(y)).\nAnswer: 16*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-202)\/1111 - ((-1856)\/22)\/2. Solve 0 = -220*m + 213*m - h for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66998767 to the power of 1\/4, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 187442789 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17 - (37 + -19 + -19 - -13)) + 17.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + 2)*(-7*x + x - 3*x) + 0 + 1 + 0*x + 2*x.\nAnswer: -7*x + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 1950, 2226, 1 in increasing order.\nAnswer: 1, 1950, 2226","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 6*z + 66 = 0. Let p(g) = 51*g - 48. What is the tens digit of p(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 291, -3, -4 in descending order.\nAnswer: 291, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**2 - 228*d - 457. Determine s(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -7*s**3 + 9*s**2 - s + 22. Let m(k) = -15*k**3 + 17*k**2 - k + 44. Suppose 7*q = q + 36. Let i(b) = q*m(b) - 13*l(b). Is i(15) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 + 6. Let g = -0.1 + 0.1. What is the second biggest value in g, 1\/2, f?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1921 and 671064851.\nAnswer: 1921","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**2 - 5 + 5)*(3*j**2 - j**2 - 3*j**2) - 2*j**4 + 0*j**4 + 5*j**4.\nAnswer: 2*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*d**2*q*r + 3306763*d**2*q + 15*d**2*r - 2*d**2 - d*q*r - 40*d*q + 18*d - 7*q*r - 29*q - 2 wrt d?\nAnswer: 4*q*r + 6613526*q + 30*r - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4679999 + -4679998.7999999. Let o = -67 - -66.8. Let z = q + o. What is z rounded to six dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112282860.8 rounded to the nearest one million?\nAnswer: 112000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1757923893 to the nearest integer?\nAnswer: 1207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -3*x**2 + 1092*x + 49526. Calculate y(405).\nAnswer: -289","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4291790 by 858358.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 - 3*i - 3. Let w(z) = z**3 + z**2 + 1. Let k be w(-2). Let o be 1*(1 + -2)\/1. Let y(b) = b - 568 + 689 - 120. Determine k*y(q) + o*d(q).\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) -25\/9 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from jjjhejeejjjeejjejhhh.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o + 79707 + 127614 - 58432 + 94078 + 13154.\nAnswer: -2*o + 256121","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 53*m**2 - 638*m + 34. What is t(12)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 2\/125 of a tonne?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, 7761, 52 in descending order.\nAnswer: 7761, 52, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + 2*i - 4 - 6, o - 2*i = -1. Calculate the least common multiple of o and 17.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2196702374 to the nearest integer?\nAnswer: 1300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -11871.78 and -3?\nAnswer: 35615.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2 + 15*a + 8. Let c be x(-15). Let y = c + -18. Suppose 0 = -t, f - 4*t = -0*t. What is the nearest to y in f, 5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4068*r - 8136*r - 25*r**3 + 4068*r.\nAnswer: -25*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the third derivative of -7*v**6\/15 + 59*v**5\/20 + v**3\/3 + 196*v**2. Find the third derivative of y(s) wrt s.\nAnswer: -336","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6139 is divided by 1227.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -t**3\/3 - 27835*t**2\/3 - 192170888*t\/3 + 21278629456\/3 = 0?\nAnswer: -13972, 109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -7*z + 2. Let q(t) be the third derivative of t**4\/8 - t**3\/6 + 6*t**2. Determine -5*q(j) - 2*w(j).\nAnswer: -j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 20*z**3 - 24*z**3 + z - 27*z**3 + 30*z**3 - 1. Let t(j) = -6*j**3 + 9*j - 9. Let s be (12\/2)\/(2\/(-6)). Give s*a(q) + 2*t(q).\nAnswer: 6*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -113 divided by -113?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2190)\/126 - (-3 + -4 - -12). Which is smaller: -23 or b?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 16) to base 14\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -11*x - 201. Determine f(-18).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -2*d**2 + 4*d + 2. Let k be v(5). Which is smaller: -26 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 + 5*a**2 - 5*a + 5. Let n be o(4). Let d = 0 + n. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (533\/82 + (1 - 0))*4. Let g be (c\/(-1188))\/((-100)\/15 - -5). What is the second smallest value in -1\/3, g, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79134 is divided by 2520.\nAnswer: 1014","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from etett. What is prob of picking 2 e and 2 t?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(64) - -2*sqrt(64)) - (sqrt(64) - sqrt(64)*2*5 - sqrt(64)))\/(-4*(-3*sqrt(128)*-6 - sqrt(128))).\nAnswer: -11*sqrt(2)\/68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/((-5 + 0)\/(-5)). Suppose -2*h = y*h. Suppose 0 = 5*j - 3*u + 2*u - 18, h = 4*u - 8. Calculate the greatest common divisor of j and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 4*a**2 - 68*a + 16. Let c be ((-2)\/(-3))\/(20\/510). Calculate the least common multiple of 128 and x(c).\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of z**2 + 0 + z - 1\/4*z**4 + 1\/6*z**3. Determine m so that r(m) = 0.\nAnswer: -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the second derivative of l**3\/6 + 4*l. Let d(z) = -3*z. Determine s(d(b)).\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 48447221?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 40449979 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-9))\/((-1)\/(-4*-8*19\/(-1064)))?\nAnswer: -4\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-56)*6)\/((-262)\/917)?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 6, o: 2, r: 9}. What is prob of picking 2 r and 1 j?\nAnswer: 27\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 203 + -171. Is 3 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 PM and 5:29 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 215724527 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(6*(sqrt(170)*2 - sqrt(170)) - (2*-1*sqrt(170) - sqrt(170))))\/(3*sqrt(640) - (sqrt(1210) - (sqrt(1210)*-2 + sqrt(1210)))).\nAnswer: 27*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y. Let l(c) = -c**2 - 523*c. Calculate l(z(d)).\nAnswer: -d**2 - 523*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to -73\/9979?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -41148, -165832, -373638, -664566, -1038616?\nAnswer: -1495788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1261 + -938. What is the hundreds digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*d - 6 = 23*d. Is (-8252 - 2)*d\/6 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, 6, -10, -40 in ascending order.\nAnswer: -40, -10, -5, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 569988819 a multiple of 4941?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**2 - 3*b**2 + 3*b**2 - b**3)*(4*b**2 - 4*b**2 - 2*b**2).\nAnswer: 2*b**5 + 2*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-7)\/u**29)**12 assuming u is positive.\nAnswer: u**(-432)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3477*g + 5 = -3476*g + 2*r, -2*r = -3*g - 7*r + 15 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m**(-8)*m))\/(((m*m**(-1\/7)*m*m)\/m*m)\/m*m)*m*m**(1\/2)*m*m**(-15)*m)**(2\/79) assuming m is positive.\nAnswer: m**(-89\/553)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -452*p**2 - 1359*p - 13. Calculate c(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 36693512?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from {r: 19, h: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -15*c. Let j = 56 - 46. Suppose 2*u = j - 24. What is the units digit of n(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1035\/(-18)*(13\/5 + -3). Suppose 3*t + 0 = 12. Suppose -t*g + 9 = p, 5 = -5*p + 10. Solve n + 5 = -3*j, -g*j + 4*n + h = 3 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -338, -1330, -2958, -5216, -8098, -11598, -15710, -20428?\n\"Answer: w**3 - 324*w**2 - 27*w + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*s + 3*s + 21360 - 227048. What is the thousands digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 92744*h**4 - 126009?\nAnswer: 370976*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -27*z + 8*z + 3*z - 1 + 7*z + 8*z. Suppose -5*c - 3 = 7. Let n(x) = -4*x - 3. Suppose 3*s + s - 23 = -l, -4*s + 21 = 3*l. Give c*n(w) + s*v(w).\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -12369*s. Let y(f) = -2*f. Calculate c(y(h)).\nAnswer: 24738*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + 32?\nAnswer: 2e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(123\/(-60) + 2). Suppose 5*a + 20 = 0, 0*h - 5*a - o = 5*h. Let c(z) = -15*z + 2. Let r be c(h). Round r to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/15, -4, -9891 in decreasing order.\nAnswer: -2\/15, -4, -9891","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*q**3 + 505*q**2 + 6450*q = 0. Calculate q.\nAnswer: -86, -15, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 0.001 (c) 1\/8 (d) -106 (e) 15 (f) 3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -73 in 0.3, 2, 4, -3, -0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*o**2\/7 + 5709855*o\/7 + 11419722\/7 = 0. What is o?\nAnswer: -2, 1903287","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -88 - -44. Let z = 4706 - 13984\/3. Let u = a + z. Which is smaller: -5 or u?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.2 - 0.2197. What is x rounded to three decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**4\/5 + 6*y**3\/5 - 16*y**2\/5.\nAnswer: y**2*(y - 2)*(y + 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 74 = -4*z + 95, 0 = -2*f + 4*z - 14 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2009*l**5 - 382*l**3 - 5167819*l**2 wrt l?\nAnswer: -120540*l**2 - 2292","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 25408 and 94400.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4127541429?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.799999956 - 2.8. Round t to seven decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 22693 from 76.\nAnswer: -22617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3.7217, 2\/7, -2, 1 in increasing order.\nAnswer: -2, 2\/7, 1, 3.7217","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = -26*f + 37*f + 4*a, -f + 7*a + 17 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -2\/11 (b) -3.3917 (c) -16\/5 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1124106 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -6*m + 97. Let l be u(15). Which is the biggest value? (a) -1 (b) 1\/5 (c) l (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -242*t + 630 = -197*t for t.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**5 - 40*a**4 + 90*a**3 - 80*a**2 + 25*a.\nAnswer: 5*a*(a - 5)*(a - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**0)\/p**(-3)*p*p**(3\/5)*p*p*p*p\/(p**(-3)\/p)*(p\/p**(-1\/4)*p**(-1\/5))**(-20) assuming p is positive.\nAnswer: p**(-37\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59540 is divided by 14875.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 AM and 9:52 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/(m*m**(-37)*m)))\/m**(7\/6) assuming m is positive.\nAnswer: m**(-217\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 7:17 AM?\nAnswer: 11:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/(f*f**(-11)\/f))**(1\/28)*(f*(f\/(f**(-1\/17)*f*f))\/f)\/f*(f\/f**(-5\/6))\/f assuming f is positive.\nAnswer: f**(-919\/1428)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3163 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 479*x - 485*x + 2640 = 0. Does 16 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(891) + 2) - (0 + sqrt(891)*2))*6)**2*-5.\nAnswer: -5785200 - 155520*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -310779.4+12947961\nAnswer: 12637181.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -14 - 80. Let s = -46 + p. Suppose 4*k - s = 7. Solve 2*l = -k*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 786, 853, 920?\n\"Answer: 67*q + 719","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1103 (base 5) to base 7\nAnswer: -306","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 6*y**2 + 7*y + 7. Let r = 4 - -1. Let i be 12\/3 + r + -2. Let x(k) = 2*k**2 + 2*k + 2. Determine i*x(h) - 2*o(h).\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 23452\/88 + (-10)\/4. Is 55656\/h - 4\/(-22) - -1 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1569994 and 220.\nAnswer: 172699340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 327753104.\nAnswer: 2, 7, 37, 139, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2682 + -1363. Suppose b = -46*j + 47*j. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + o - 1471 = -1461, 5*c + 3*o = 30 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -443 + 624. Let u = 181.00089 - i. What is u rounded to 3 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uvvvguvvvggguvvug. What is prob of sequence uvvv?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the first derivative of 0*r**3 + 0*r**4 - 23 + 18\/5*r**5 + 3*r**2 + 0*r. What is the second derivative of f(o) wrt o?\nAnswer: 216*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -128528 - -487791. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*m**3 - 11*m**3 - 6*m**4)*((-3 + 1 + 3)*(-1 + 2*m + 1) + 4 - m - 4).\nAnswer: -6*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10672 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -5 (b) -1\/14 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 9 + 10)*(-4 + 2*j + 4 + (2 - 2 + 1)*(-1 - j + 1) - 4*j - j + 3*j)*(-4*j - 14*j - 9*j) + 3*j**2 - j**2 + 0*j**2 + (0 + 1 + 0)*(0 - j**2 + 0).\nAnswer: 217*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 - 51 = -12*w - 9 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 45735127 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= -574\/3125?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 49, 51, 55, 61, 69, 79?\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of -2*x + 1\/4*x**4 + 0*x**3 - 3\/2*x**2 + 0. Differentiate h(o) with respect to o.\nAnswer: 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/13684418 and 91\/2488076.\nAnswer: 27368836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 125, 3, 5\/6, 0.3 in decreasing order.\nAnswer: 125, 3, 5\/6, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*1*-1*sqrt(99)*-2)\/(5*sqrt(576) + sqrt(576) + sqrt(9) - (sqrt(72)*4 - sqrt(72))\/sqrt(8)))**2.\nAnswer: 44\/529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 5*b - 15. Let i be d(3). Suppose -2*h - 5*s + 29 = 0, -4*h + 3 = -i*s - s. Put 4, h, -6 in decreasing order.\nAnswer: 4, h, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -939*y + 6598. Give l(7).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - 0)*(-2 + 31). Let s(f) = -f**3 + 8*f**2 + 10*f - 6. Let h be s(9). Suppose 4 = h*l - k. List the prime factors of l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/((-30)\/18))\/3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, s: 4, t: 1, i: 1, o: 1}. What is prob of sequence io?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -5 (b) 6 (c) -1\/2887 (d) 2\/3 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b**4 - 188*b**3 + 9574*b**2 - 59712*b + 98208 = 0. Calculate b.\nAnswer: -132, 3, 4, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - (-2 - (1 + -3))) + (-18 - -25)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 20 = 4*h, 2333*h - 22 = -2*o + 2338*h for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 149 or 146?\nAnswer: 146","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 6*x**2 - x + 1. Let b be d(2). Let a = 46 - b. Let q = a - -21. What is the greatest common factor of q and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 2*m**2 + 33*m + 52. Determine k(-11).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*a**3 + 26914*a**2 - 117*a - 23430775 wrt a.\nAnswer: -6*a**2 + 53828*a - 117","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5083.1644 - 1.1644. Let g = 5082.02897 - z. Let k = -0.0311 + g. Round k to 4 decimal places.\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y = y + 105. Calculate the remainder when y is divided by 13.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, n: 4, g: 2, s: 2}. Give prob of sequence gnn.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 733508 (base 11) to base 12\nAnswer: 4885a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1876 (base 10) to base 14\nAnswer: -980","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (105*(-78)\/(-819))\/(25\/4)?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -5*w + 6. Let u(m) = -853*m - 193. Give x(u(c)).\nAnswer: 4265*c + 971","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 + -4. Let s be (h\/(-1) - -2) + 2. Let d = -8335\/5562 - 4\/2781. Which is the closest to d? (a) s (b) -0.4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1021 (base 3) to base 7\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 34 + -210?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 4, -3, 0.1, 12, -3\/43, 0.3?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1365*j - 46*j + 58574 = -68050 for j.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 2914?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence br when two letters picked without replacement from {r: 3, b: 2}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 78*c**2 + 22*c + 43. What is the hundreds digit of o(-16)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 132843194.\nAnswer: 2, 11, 6038327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (2\/1)\/((-30)\/(-195))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -19231, -19247, -19265, -19285?\n\"Answer: -p**2 - 13*p - 19217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7029 + -7024. Solve g*v + 96*s + 17 = 97*s, -5*s = 4*v + 31 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2223338, -4446986, -6670634, -8894282, -11117930, -13341578?\n\"Answer: -2223648*s + 310","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -262*r**2 - 2*r**3 - 266*r**2 + 528*r**2.\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1590 and 246?\nAnswer: 65190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 3 + 9. Let g(z) be the second derivative of 4*z - z**i - 4*z - 7*z. Let h(c) = -2*c. Give h(g(p)).\nAnswer: 24*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -0.4, 3, -0.28 in increasing order.\nAnswer: -0.4, -0.28, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 5, y: 6, z: 2}. Give prob of picking 1 z and 1 y.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 PM and 2:33 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -966*c - 59684 - 103792 = 6495*c + 1143*c for c.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*h**3 + 0*h**3 + h**3.\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 - -4*(-3)\/(-3). Suppose -4*n + 21 = -10*s + 5*s, -k*n + 19 = -3*s. Let u(h) = -2*h + 6. What is u(n)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 68 and 5214614?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(95) + ((sqrt(95) - (sqrt(95) + sqrt(95)*-1 - sqrt(95)))*-1 - sqrt(95)) + sqrt(95))\/((sqrt(5)*-2 - sqrt(5))*-1)*-5.\nAnswer: -1 + 5*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**2\/5 - 26352*y\/5 - 26348\/5.\nAnswer: -4*(y + 1)*(y + 6587)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 12\/4 - (-2 + 5). Suppose h - 35 = -c*h. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + -1101010100110010110111?\nAnswer: -1101010100110010110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2012 - -3463. Is 23 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s**3\/3 + 5476*s**2\/3 + 3709696*s\/3 - 53014528\/3 = 0.\nAnswer: -1376, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 50853, 101738, 152623, 203508, 254393?\nAnswer: 305278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 995038305?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l**2 - 3*l**2 + 17 - 17.\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10387*x = -4864*x + 793052 for x.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 161*k + 88*k + 124*k - 37*k.\nAnswer: 336*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the second derivative of 0 + 9*h + 0*h**4 - 1\/16*h**3 + 1\/160*h**5 - 1\/8*h**2. Factor a(g).\nAnswer: (g - 2)*(g + 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -70 divided by -5?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 3186?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -7*s + 280. What is the highest common factor of 56 and s?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 11108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 2 = 3*g + 1, -3*z = 9 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20867472 and 522.\nAnswer: 20867472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15172756, -30345474, -45518192?\nAnswer: -60690910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 + -18. Let l = m + 27.4. Which is the closest to 1? (a) l (b) -3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -112942, -112943, -112944, -112945?\n\"Answer: -y - 112941","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 1998 + 6146 = 2*c, -10180 = 5*f + 3*c. Let k be f\/(-24) - 4\/(-24). Let g = k + 35. Calculate the highest common divisor of 30 and g.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -7\/3, -438\/37?\nAnswer: -438\/37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/23087 less than or equal to 66?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 17.4184974 to 3 decimal places.\nAnswer: 17.418","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(38)\/(4*sqrt(8)) - (sqrt(684) + sqrt(684) + 1 - (5 + -1 + sqrt(19))))*-1.\nAnswer: -3 + 87*sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1973269 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 - -6. Let x be (-2)\/l + (-136500013)\/39. What is x rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*(d\/(d\/d**(-2)))\/d)\/(d**(-2\/11)\/d)*(d\/(((d\/(d\/(d**(1\/4)*d)))\/d)\/d))\/d**4)**(2\/21) assuming d is positive.\nAnswer: d**(-45\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 114 - 106. What is the derivative of 7*c**2 + k*c - 9*c**2 + 120 - c**2 - 4*c**2 wrt c?\nAnswer: -14*c + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 308111, 307708, 307307, 306908?\n\"Answer: r**2 - 406*r + 308516","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 + 2*b - 2. Let o be x(3). Let g(n) = -n + 16. Let j be g(o). Solve 2*q = j*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14901 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 141 divide 2956488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 0.1, 0, -296?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8.6 + -312.4. Let u = -321 - x. What is the third biggest value in u, -2\/57, 0.1, 2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 81964206?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -2*c**3 - 5*c**2 + 3*c + 1. Let w(j) = -2*j**3 - 6*j**2 + 4*j + 2. Let r(q) = -4*f(q) + 3*w(q). Suppose -7*g - 10 = -2*g. What is r(g)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15235\/12188*(-4)\/20*-10*2\/(-16)?\nAnswer: -5\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-8)\/(-14) - 2255\/(-35)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 2*g**2 - g - 6. Let n be x(-3). Factor 4*b + n*b**2 - 9*b**2 - 7*b**2.\nAnswer: -b*(b - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 86229 divided by 1.\nAnswer: 86229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -210562 = -3234*r + 5443*r + 4782*r + 76069 for r.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r and 1 v when four letters picked without replacement from {r: 5, v: 8}.\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*w + 45 = -3*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 9, o: 5}. What is prob of picking 2 o?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -103964681*w**3 - 246458483*w**2 wrt w.\nAnswer: -623788086","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -38\/5814377 and -21\/318596?\nAnswer: 23257508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**4 + 117*i**3 + 684*i**2 - 1860*i.\nAnswer: 3*i*(i - 2)*(i + 10)*(i + 31)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -36 - -64.21. What is f rounded to 1 dp?\nAnswer: 28.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 145222\/(-4186) + (-90)\/39?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 - -18. Let f = j + -4. Suppose -2*c - 3*k + 16 = f*c, -8 = -5*c + k. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 539 = 8*m + 499 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6811 and 139?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence orro when four letters picked without replacement from rroor.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -17419 divided by 6?\nAnswer: -17419\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -17*p**2 - 9946*p - 59593. Give a(-579).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.7023 plus -186?\nAnswer: -188.7023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 30c (base 14) to base 11\nAnswer: 4a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4077274625?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 33dcd4 - 5?\nAnswer: 33dccd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 346056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 887305158?\nAnswer: 2, 3, 3539, 4643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 7*v**3 - 3*v + 13. Let k(y) = 2*y - 2. Let p(a) = -4*k(a) - n(a). Suppose 5*h = 3*h - 10. Let u(o) = -3*o**3 - 2*o - 2. Determine h*u(t) + 2*p(t).\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-496 - 374 - 114)*(2 - 1 + 2*c - 3) in the form p*c + d and give p.\nAnswer: -1968","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bp when two letters picked without replacement from {m: 1, e: 2, l: 3, p: 6, b: 3}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 3 + -4 + 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-one halves of a gram in milligrams?\nAnswer: 40500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -b + 2210, -14*n + 17*n = -12. Does 17 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -122584, -245856, -369130, -492406?\nAnswer: -615684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 41535844*d*y**3 - 158*d*y + 22100*y**2 wrt y.\nAnswer: 249215064*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*r**4*x**3 + 35931*r**3 + 5*r**2*x - 58*r*x**3 + r*x - 16*x**3 wrt r.\nAnswer: 48*r*x**3 + 215586","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -16651, -16768, -16885?\n\"Answer: -117*x - 16534","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 + -2 + 0 - -3. Calculate the highest common divisor of g and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -128 - 377*j**2 + 128.\nAnswer: -377*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 12:08 PM?\nAnswer: 2:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 7840000 to the nearest 100000.\nAnswer: 7800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 27610 and 2010008.\nAnswer: 10050040","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c and 1 g when four letters picked without replacement from wcccgek?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -38*i**3*j*u - 7*i**3*u - 3*i**2*j*u - i**2 - 8*i*u wrt i.\nAnswer: -228*j*u - 42*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/((252\/(-2))\/9).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*y**2 - 8*y**2 - 1 + 2*y + 7*y**2 in the form b + w*y + u*y**2 and give u.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - 1 - (-34 + 4 + -1) - 3?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 4*p = 7, -3*u = 148*p - 150*p - 9 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -182 + 48 = 15*h + 76 for h.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3898 (b) -0.13 (c) 3\/4 (d) -5 (e) -1 (f) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1b94 (base 12) to base 2\nAnswer: 110101100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20 + -1 - (8 - -11)) + -56 + 7 + -1?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 195\/(-325)*(-13 - (-27117)\/2079)?\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*k - 27 = 3 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 48456 and 139032.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 214*82\/(-210576)*(-1)\/(5\/(-8)).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 0*i**2 + 3 + i**2 - 2*i**2. What is the units digit of y(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-364)\/(-2) + (-1 - 2). Is p*(3 + 0 + -2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -206968 divided by -41.\nAnswer: 5048","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -190 + 190 + 10050*q**2 - 14*q - 9881*q**2.\nAnswer: 169*q**2 - 14*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*b**2 + 286012120*b - 5112683299180900 = 0. Calculate b.\nAnswer: 35751515","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2233.9 smaller than 1\/144?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 13, h: 5}. What is prob of sequence oh?\nAnswer: 65\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*y - 1273 = -382 + 279 for y.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -609.25025657 - -609.25. Round t to 6 decimal places.\nAnswer: -0.000257","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -18, -9, -6, -419, -2\/17?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(1078)*1 + sqrt(1078) - sqrt(1078)))\/(sqrt(1568) + sqrt(1568) + sqrt(1568)*4 - sqrt(32)).\nAnswer: -21*sqrt(11)\/164","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 923623020.\nAnswer: 2, 3, 5, 1710413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 - j. Suppose 11 = 39*u + 50. Suppose -2*g + g = 0. Let w(s) = -6*s + 5*s**3 + 0*s**2 + g*s**2. Calculate u*w(z) + 6*y(z).\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 9305427927 + 0.69\nAnswer: 9305427927.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 10*g + 6*g = -22, 4*g = k + 14 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -103*r - 600. Give s(-6).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - 0. Let g = m - 1. Let s = 32335.9 - 32336. Which is the closest to s? (a) 0 (b) g (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5485 is divided by 320?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3735 + -1402. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 930444.\nAnswer: 2, 3, 17, 4561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 57599 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 7983 - 8011 - 18*n + n as u*n + p and give p.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 40, 74, 152, 292, 512, 830, 1264, 1832?\n\"Answer: 3*o**3 + 4*o**2 + o + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 7*b**2 + 781*b + 439. Calculate p(-111).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 760*a**2 + 4*a - 5. Let y be j(2). Suppose 2*i + 0*i + 3*q - 2037 = 0, -3*i - 2*q = -y. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 34808 and 8?\nAnswer: 34808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 0, 4*v + 0*q - 540 = -3*q. What is the highest common divisor of 15 and v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -2*b**2 + 2*b + 4. Let j(k) = k - 6. Let i be j(8). Suppose -4 = -2*h - i. Let z(m) = -m - 1. Calculate h*v(s) + 3*z(s).\nAnswer: -2*s**2 - s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - j + 2*g + 908 = 0, -4*g = 2*j - 474. Suppose 4 = 4*h, w - j - 186 = 4*h. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2469226 divided by 196.\nAnswer: -1234613\/98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 355564 is divided by 96.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 1686*u - 396245. Give n(235).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - ((-13 - (4 + -9)) + 4)) + 8\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**2 - 14*t - 13. Let s be m(-13). Let k be (10\/1)\/(2 - s). Solve -23 = k*o - 4*n, 5*o - o - 4*n + 20 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1 and 8123.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 - 13. Suppose -17*a = -h*a - 3640. Is a a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 5 - 9 = 2*n, -26 = -3*w + 2*n. Solve -w*g = -g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.04 * 10\nAnswer: 0.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84*y**2 - 1586*y**3 + 1565*y**3 - 84*y**2.\nAnswer: -21*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 - 10*w - 25. Let l be i(-8). Let r be 3 - 14\/6 - 30990\/l. What is the third derivative of 29*t**6 + r - 3444 - 13*t**2 wrt t?\nAnswer: 3480*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62455497673 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 - 9*n**2 - 9*n - 7. Let w be g(10). Suppose -w*q - 2*q + 245 = 0. What are the prime factors of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18990 or 18987?\nAnswer: 18987","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.162*-42206\nAnswer: -6837.372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-3)*g\/(g**(-4\/5)\/g*g))\/(g**(1\/4))**(1\/5) assuming g is positive.\nAnswer: g**(-5\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5116 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: Is 181695211 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 16705, -1, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21 - -20. Let y be 3 - -1*(x - 2). Let j be y\/(-2 + -1 + 4). Solve -4*i + i - 9 = j for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 4*d = -20 - 20, -3*d - 69 = -3*c. Let u be ((-102)\/4 - -2)*-2. Suppose u + 161 = 4*n. Calculate the greatest common factor of c and n.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-6))\/((-4)\/(-8)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(8\/11))\/(i**(-22)\/i))\/((i*i*i**(2\/3)*i*i)\/((i*((i*i**31)\/i)\/i)\/i)) assuming i is positive.\nAnswer: i**(1604\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t**3 + 16*t**2 - 23*t + 6. Let d be (63\/28)\/(15\/40). What is u(d)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 87 - 84. Suppose 8*p + 4 = 3*p - q*d, d - 6 = 2*p. Does 3 divide (7\/((-105)\/24))\/(p\/15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 55240125 and 1125.\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1209, -1204, -1199, -1194, -1189?\nAnswer: -1184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -17 (b) 137 (c) 0.5 (d) -2\/5 (e) -0.5 (f) -39\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 1:05 PM?\nAnswer: 4:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 - 1. Let t(u) be the second derivative of -5*u**4\/3 - 6*u**2 - 4*u. Let b(r) = -8*d(r) + t(r). Differentiate b(g) with respect to g.\nAnswer: -24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c + 4. Let v = 7 - 12. Let z be x(v). Let h be (z\/1)\/((-3)\/18). What is the greatest common factor of h and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + -10111?\nAnswer: -10113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -25 - -27. Suppose -5*p - 5*y - x + 17 = 0, -y + 1 = 0. Let k(i) = 2*i**3 + 3*i**2 - 3*i. Let r be k(p). Solve -3 = -5*m + r for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -39 + 124. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -15*k + 126. Determine q(10).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4 from 0.157748.\nAnswer: -3.842252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89 = -4*l + 3*j, -3*l + 2*l + 44 = 3*j - 20 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1401 or 1393?\nAnswer: 1393","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 + -7. Let j(l) = -l**2 + l + 2. Let t be j(0). Suppose -t*p + 5 = -p. Solve r*z = -25, 19 = 2*h - p*z - 2 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-3 - (-3 - 2))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1034 or 1033?\nAnswer: 1033","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 23\/(-46)*2\/((-92)\/6). Let r be 2\/((-11)\/((-66)\/(-12))). Is j greater than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 7 = -4*i. Calculate the remainder when i is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 less than 17648139?\nAnswer: 17648139.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -2*d - 526 + 2499, -4*d = c - 661. Let a = c - 656. Solve 5*r = 3*o - 10, 4*r - a = o - 2 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of m**6 - 2*m**5 - 4641*m**3 + 5*m**2 + 942*m - 1.\nAnswer: 120*m**3 - 120*m**2 - 27846","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-1)\/(u*(u*u**(-7))\/u)*(u*u**2*u)**(-7) assuming u is positive.\nAnswer: u**(-23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(200) + 1 + sqrt(200) + sqrt(200))**2*-5.\nAnswer: -9045 + 900*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 177 is divided by 49?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 27 = 5*u, 0 = -3*q - 3*u - 6 - 3. Let r be (-8)\/2*(-14)\/(-8). Is q at least as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 268984337998580\nAnswer: 268984337998577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -1 + ((1 + sqrt(112) - sqrt(112))*-3)**2 + sqrt(112) + (sqrt(112) + 3 + 1 + sqrt(112))**2.\nAnswer: 68*sqrt(7) + 467","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -106012516 (base 7) to base 2.\nAnswer: -11000101100100100111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 56 - -18. Suppose -n = 4*p + 23 - j, -n - p = -36. Does 3 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 205 = 3*i, -4*i + 222 = -2*m - 60. Differentiate 7 - 14 - 24*z - 3 + i*z with respect to z.\nAnswer: 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 243, 241, 239?\n\"Answer: -2*i + 245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 353, -1, 6, -100, -3 in descending order.\nAnswer: 353, 6, -1, -3, -100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 351*o**3 - 9*o**2 + 3. What is the thousands digit of s(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 33 = 2*m, 127*m - 249*m + 125*m + 216 = 48*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-1505))\/((3\/(-49))\/(3870\/(-9030)))?\nAnswer: 1\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000073642 rounded to 4 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g + 0 + 4*g - 4*g + 6. Let o be z(4). Let r be (-1 - 0) + 7 + -2. Solve r*p = -q - 15, o*p + 5*q = 4*p - 9 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, -36, -128, -266, -450, -680, -956?\nAnswer: -1278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**2. Let m be r(2). Let u be 0 + 2\/m*-2. Let c be 56\/66 + -8 + 110\/15. Which is bigger: u or c?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 260 and 325.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1230, 4873, 10824, 19083, 29650?\n\"Answer: 1154*q**2 + 181*q - 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l - 2*l - 3*l - l + 5*l - 6*l + (-4*l + 2*l + l)*(-1 - 1 + 4) + l - 5 + 5 - l - 4*l + 4*l + 1 + 9*l - 1.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u**11\/u))**(3\/4)*u**30*u**(3\/5) assuming u is positive.\nAnswer: u**(477\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80881 is divided by 9883.\nAnswer: 1817","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 e when four letters picked without replacement from xeeeeeeexeeeexeexeee.\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.99 + 0.01. Let d = -1.9 + f. Let h = d - 0.09935. Round h to four dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 7399 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p\/((p*p*p**7\/p)\/p)*p**(1\/3)*((p\/p**7)\/p)\/(p**4\/p) assuming p is positive.\nAnswer: p**(-44\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 + l - 1. Let w(d) = -d**2 + 1. Suppose 0 = -6*g + 12*g + 6. Determine g*v(o) - 2*w(o).\nAnswer: o**2 - o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b - 24. Let r(x) = -6*x - 47. Calculate 5*d(q) - 2*r(q).\nAnswer: 7*q - 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16822?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 - 9 + 11)*(2*g**4 - 2*g**3 + 2*g**3) + 0*g**4 + 0*g**4 + 3*g**4.\nAnswer: 35*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19566 is divided by 218.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*r - 2*y, 7 = -4*r - 5*y - 4. Differentiate -4 - r + 0 + 4*x wrt x.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1901006 or -1900923?\nAnswer: -1901006","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l**2 - 3*l**2 + 5*l**2 + (-3 + 0 + 2)*(1 - 2*l**2 - 1) + 3*l**2 - 2*l**2 + 2*l - 13*l**2.\nAnswer: -9*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1647082901?\nAnswer: 3331, 494471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 375\/30*1\/10 + -1.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 43789735+-18\nAnswer: 43789717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3277470?\nAnswer: 2, 3, 5, 7, 15607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -0.098, -0.3, -1.05, 0.5, -134?\nAnswer: -0.098","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + f - 4)*(-3 - 9*f - 4 + 17).\nAnswer: -9*f**2 + 10*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, a: 4, p: 1, r: 1, v: 3, f: 5}. What is prob of picking 2 a?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2\/15 (b) -88 (c) 148\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 9:15 PM?\nAnswer: 12:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 136.5 + -209.8. Let g = -73 - d. What is the biggest value in 0.1, g, -4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -1. Let b(u) = u - 1. Let r(t) = -b(t) + f(t). Let d(m) be the second derivative of 5*m**3\/6 + m. Determine r(d(h)).\nAnswer: -5*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/5)\/(4\/(-30)). Suppose 0 = s + s - n. Suppose 0 = -6*a + s*a + 78. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**2 + 9*v - 3. Let m be p(-8). Let w = -57\/5 - m. Which is the nearest to 0.1? (a) 1 (b) w (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7.7496 + -0.2504. Which is bigger: -444 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.2 - 0.7. Let k = 3.72 - 3.3. Let p = k - 0.22. Which is the nearest to -0.2? (a) p (b) n (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29.2432*1670.\nAnswer: -48836.144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*l + 52*l - 576 = 0. Solve o - 5*o = l for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 at most as big as 1.05?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - 1. Let q = g + 2. Let r be 16\/(-120) + (-98)\/(-60). Sort q, 0.1, r in decreasing order.\nAnswer: r, 0.1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3599, 7216, 10833, 14450?\nAnswer: 18067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**3 + 4851768*m**2.\nAnswer: 4*m**2*(m + 1212942)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 37361591 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9491*u**3 - u**2 + u**2.\nAnswer: -9491*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 4 (b) -5 (c) -6 (d) -3130\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnbbnjnfbndf. Give prob of picking 1 j and 2 b.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (245343*w**2 - 245343*w**2 - 1877*w**4)*(1 - 2 - 3) to u*w + c*w**2 + t*w**4 + d + l*w**3 and give t.\nAnswer: 7508","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) -0.1 (b) 24\/19 (c) 1\/4 (d) 8605 (e) -1\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 - 2*x**2 + x - 4. Let a be c(-3). Suppose 17 - 8 = 3*l. Calculate the highest common factor of a and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*u + 5*u + 36. Let l = -1.2 + 1. What is the smallest value in l, u, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18751 - -24588. What is the smallest value in 0, y, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - (2 - 1)) + (-91 - -88)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -12176 and -8.91.\nAnswer: -12184.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -2, 208\/23?\nAnswer: 208\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7554005 to the nearest integer?\nAnswer: 2748","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 0.2, -19, 4\/9?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of -y**9\/12096 + 5*y**8\/4032 - y**7\/336 - y**6\/16 + 7*y**5\/60 + 11*y**2. Let n(t) be the third derivative of f(t). Factor n(m).\nAnswer: -5*(m - 3)**2*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -668, -924, -1350, -1946, -2712?\nAnswer: -3648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1733477 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 72 and 8335392?\nAnswer: 25006176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/64 of a gram?\nAnswer: 15625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -21 * 63300\nAnswer: -1329300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 68\/10 + -4 + -3. Let i = 3\/5 + k. Which is the closest to i? (a) 4 (b) -4 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 94940 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -38749 - -3409965\/88. Let r = -9435 + 528365\/56. Find the common denominator of r and a.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15920, -15919, -15918?\nAnswer: -15917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1574623 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 13. Suppose 33 = 3*y + 2*w, 3*w = -y - 1 + n. Calculate the remainder when 43 is divided by y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/10)\/(25\/(-4375)*-25)?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 2 = -1. Let j(y) = -y**2. Let n(l) = l**2 + 9*l + 2. Let p = -10 + 2. Let x be n(p). Let s(m) = 4*m**2 - 2. Give c*s(i) + x*j(i).\nAnswer: 2*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85863447.\nAnswer: 3, 17, 561199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Do 8926\/51 and 176 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 3 + 21 = 0. Let c = u - 16. What is the remainder when -7 - -20 - (c + -4) is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 - (-2 + 0\/3). Let v = 2 + b. Suppose -l + d + 31 = -d, 0 = -3*l - v*d + 109. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 - j. Let r(n) = -4*n**2 - 6*n. Let t(y) = -r(y) + 6*x(y). Let c(z) = -12*z**2. Calculate c(t(u)).\nAnswer: -48*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (8 - ((3 - -54) + -15)) + -11 + 9\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 18*p**3 + 6*p**2 - 2*p - 57. Let j(o) = 18*o**3 + 5*o**2 - 2*o - 56. Let c(v) = 5*j(v) - 4*n(v). Find the second derivative of c(x) wrt x.\nAnswer: 108*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5)\/(-30) + 7\/12. Let t(o) = -392*o + 16072. Let k be t(41). Factor -u*v**4 + 0 - 1\/4*v**5 + k*v**3 + 0*v + v**2.\nAnswer: -v**2*(v - 1)*(v + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 209 - 208.9352. Let r = t - -4.0252. What is r rounded to 1 decimal place?\nAnswer: 4.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 933?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dh when two letters picked without replacement from {d: 4, w: 1, h: 6, v: 3}.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kfkf when four letters picked without replacement from lkkkskfsslslff?\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-6 + 7) - ((13 - -16) + -16)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/110 - 5\/(-55)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 116560.\nAnswer: 2, 5, 31, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**5 - 2*k**4 + 19*k**3 + 20*k**2.\nAnswer: -k**2*(k - 4)*(k + 1)*(k + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -8, -2*r - 2*v = -20 - 2. Suppose -l = 4*d - 19, d - 3*l + r*l - 1 = 0. Calculate the highest common factor of 45 and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/4)\/(22\/(-8))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.4699 - -2.4699. Put 8, v, -1, -5\/2, 3\/2 in increasing order.\nAnswer: -5\/2, v, -1, 3\/2, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1620*x - 1596*x - 1261*x + 474*x - 585*x to the form b*x + l and give b.\nAnswer: -4588","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 1290.299 to the nearest one hundred.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -146790 to the nearest ten thousand.\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 1 - 4)*(-4*o**2 - 3*o**2 + 6*o**2)*(6 + 4 + 20).\nAnswer: -60*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 611, 640, 717, 866, 1111?\n\"Answer: 4*i**3 + i + 606","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31490?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -310*y**2 - 5*y + 1. Let t be q(-1). Let v = t - -444. List the prime factors of v.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6171) + (sqrt(6171) - sqrt(6171)*2))*5 - (sqrt(6171)*1 + sqrt(6171))*2)\/(sqrt(3) + -5*sqrt(6)\/sqrt(2) + sqrt(9)\/sqrt(3)*6 + sqrt(3)).\nAnswer: -44*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -1 - 3. Let g be (m\/(-5))\/(9\/(-15)). Suppose 4*k - k = 0. What is the closest to g in k, 4, -2\/9?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7562*s**3*x**3 - 919*s**3*x - 6*s**3 - 181957*s**2*x**3 + 3*s**2*x**2 - 23*x**2 wrt s.\nAnswer: -45372*x**3 - 5514*x - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l*l\/(l\/l**(-2))))\/l**(1\/3))\/(l**(1\/2)\/((l*l\/(l**4\/l*l)*l)\/l)) assuming l is positive.\nAnswer: l**(-5\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of m**7\/1680 - m**6\/80 - m**5\/240 + 3*m**4\/16 + 7*m**3\/3 - 7. Let g(y) be the third derivative of q(y). Factor g(p).\nAnswer: (p - 9)*(p - 1)*(p + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.03 - -0.07. Let f = n - 8.1. Let z = 4 + f. Which is the nearest to 5\/4? (a) z (b) 3 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 261*h - 1919. Calculate a(5).\nAnswer: -614","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 7 - (-14 - -4 - -4 - -2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 52449.5 from -3.\nAnswer: -52452.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 785861241.\nAnswer: 3, 11, 37, 58511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(0 + (sqrt(175) - (-1 + sqrt(175))*-4) + 4 + -3*sqrt(175))**2*4.\nAnswer: 2800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1843 and 56715.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -19 (c) -12516\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k**2 + k**4 - 3*k**2)*(-388 - 113 + 1897).\nAnswer: 1396*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 + 5*p**2 + p + 6. Let b be k(5). Suppose 0 = -q + b + 1. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2 - 5*p - 2. Let k be w(-4). Let a(q) = 2*q**2 + q - 2. Let j be a(-2). Suppose -k*d - g - 95 = -4*d, -j*d = -4*g - 188. Is 24 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -14*c**3 + 3*c**2 + 14*c + 43. What are the prime factors of p(-5)?\nAnswer: 2, 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 - 7*c**2 + 2*c - 3. Let y be r(7). Let n = 14 - y. Which is smaller: 6 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21562117 to the power of 1\/3, to the nearest integer?\nAnswer: 278","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -11*v**3 + 3*v**2 + 3*v + 3. Let n(a) = -287*a**3 + 77*a**2 + 77*a + 77. Give 154*i(h) - 6*n(h).\nAnswer: 28*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192) + (sqrt(192) - (sqrt(192) + 0)) + -5 - (0 + sqrt(192) + 2))**2 + -6*(5 + 0 + sqrt(27))**2.\nAnswer: -180*sqrt(3) - 263","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 plus -0.327239153?\nAnswer: -38.327239153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 214483628?\nAnswer: 2, 17, 19, 41, 4049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-8)*m**1)**(-44))**4 assuming m is positive.\nAnswer: m**1232","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1\/2 (b) -2 (c) 27255\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2279430*q**6 + 364*q**2 - 11*q + 30 wrt q?\nAnswer: -273531600*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3320.6862 rounded to the nearest 10?\nAnswer: -3320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5405194?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 17784284005 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -9 + 5. What is the derivative of -4 - 19*m**h - 4 - 7 - m**2 wrt m?\nAnswer: -40*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 5) to base 3\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-12)\/42 + (-46)\/(-14). List the prime factors of 4*(k + 3\/3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 39 - 49. Let k(b) = 7*b**2 + 3*b - 5. Let n be k(t). Find the common denominator of 91\/6 and 8\/10 - n\/(-450).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 27 - 177 = 0. Let c = v - 49. Solve -16 = -c*n - 2*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-30)\/20)\/(6\/(-16)). Suppose 0 = -2*q - 2*h + 444, t*h + 1083 = 7*q - 2*q. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90*j = -87*j. Let g be -1 + (0 - (0 - 6)). Suppose -r + 0*r + 13 = g*x, j = 2*r - 3*x. What is the highest common divisor of 3 and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -3*q + 1599*q**2 - 272 - 15*q + 1294*q**2 + 248 - 36*q. Let s be w(6). What is s rounded to the nearest ten thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 10, s: 2}. Give prob of sequence es.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -10138, -10195, -10262, -10315, -10330, -10283, -10150, -9907?\n\"Answer: 4*x**3 - 29*x**2 + 2*x - 10115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vq when two letters picked without replacement from {e: 4, y: 1, v: 1, q: 2, u: 7, c: 4}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 + 25*s**2 - 6*s + 152. Let t be i(25). Solve -3*o + t*p = 10, -3 = -3*p + 3 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 374 - 647 = -39*v. Solve 3*p + 24 = v*p for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 42 + -33. Let z = s - -49. Let n = z + -55. Solve -2*l = -5*v + 28, n*l + 4 = v - 3*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 11, -1, -5, 0.\nAnswer: -5, -4, -1, 0, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -787297 times 0.5?\nAnswer: -393648.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-50)\/75 - 3388\/(-6). Suppose 5*j + 4*k + 1455 = 0, 3*j + 3*k + 670 = -206. Let g = l - j. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1453 (base 7) to base 10\nAnswer: 577","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 219?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 26\/5 of a micrometer?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*v + 5*v + 0*v + v.\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64 divided by -6.\nAnswer: -32\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2 + 11*d - 14. Let a be x(9). Suppose 4 = a*k - 8. Let q be (-3 - (k - 7))*5. Solve -2 = -q*z + 13 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 15 + (4 - 9).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -29554 and -0.4.\nAnswer: 11821.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -7093205898.5 less than 0?\nAnswer: 7093205898.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2 - 27*b - 35. Calculate i(-26).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 134 - 53 - 48 + 10*x - 49. Let p(l) = -3*l + 5. Give -16*p(d) - 5*r(d).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3.853, 3\/8, -2\/7, 0.157?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -23861008980 - 868.\nAnswer: -23861009848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27*r + 57*r - 9 - 39*r + (-2 + 2 + r)*(-6 + 2 + 3) - 2*r - r + 5*r - 6*r + 9 - 9 to s + y*r and give s.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 9 - 7320ab?\nAnswer: -7320a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 2\/286963?\nAnswer: 2\/286963","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -20*t - 7. Let g(r) = 9*r + 3. Suppose 2*v = v + 3. Let c(o) = v*l(o) + 7*g(o). Let q(u) = 6*u**2. Give q(c(k)).\nAnswer: 54*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 (base 14) in base 8?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -633300 rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 64*n**2 - 3 - 62*n**2 + 4 + (0 + 3 - 1)*(0*n**2 - 3*n**2 + 4*n**2).\nAnswer: 4*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = -3*n - 5*b, 4*n - 5 = 30*b - 31*b for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in thirteen fifths of a day?\nAnswer: 3744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 76059588 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6.23 - 7.168. Let p = 0.438 + d. What is the third biggest value in -1\/16, 2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4, 5818, -5 in descending order.\nAnswer: 5818, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + (-19)\/(-9))\/((-9)\/27).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 331 is divided by 108.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum -195903408 and 0.9.\nAnswer: -195903407.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 4*a**3 + 2*a**2 + 18*a - 12. Let o be f(8). Suppose -7*z + 7355 = o. What is the hundreds digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5940 and 8940.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 3*l + 22. Solve 3*k + 5 = l for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the third derivative of -m**11\/1995840 - m**10\/907200 - m**5\/12 - 2*m**2. Let r(z) be the third derivative of x(z). Factor r(a).\nAnswer: -a**4*(a + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11110860 and 780.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 1707*m**3 - 14*m**2 - 7*m - 13. Let j(g) = 1139*g**3 - 10*g**2 - 5*g - 9. Calculate 7*j(v) - 5*s(v).\nAnswer: -562*v**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7\/2*(-1 - -3). Let s be -33*((-1)\/(-2))\/(5\/(-10)). Let b = h + s. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -4*l**2 + 475*l - 5. Let q(z) = -5*z**2 + 480*z - 6. Determine 6*i(y) - 5*q(y).\nAnswer: y**2 + 450*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5413?\nAnswer: 5413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*m - 3*m + 0*m)*(-2*m**2 - 4 + 4 + (7*m - 5*m + 2*m)*(-2 - 1 + 2)*(2*m - 2*m - m)) in the form r*m + u + a*m**2 + o*m**3 and give o.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -21112746 and 10.\nAnswer: -211127460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 41 + (22 - (20 + 32))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*v - 12*g - 366 = -31*v, 3*v - 416 = 2*g. What is the lowest common multiple of 246 and v?\nAnswer: 17466","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of p**3 + 9*p**2\/2 - 23*p - 2987. Determine z(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 3*r - 21. Suppose -4*o - 2*u = 2, -4*o - 9*u = -8*u - 3. Let t(w) = 14*w - 85. Let x(y) = o*t(y) - 9*n(y). Calculate x(-13).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 148710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28492, -28540, -28588, -28636, -28684, -28732?\nAnswer: -28780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.145 * 0.2\nAnswer: 0.029","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 2 x when four letters picked without replacement from {x: 2, o: 5}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + n - 2*n - 19, 5*b + 45 = n. Let k be (-78)\/b - (-7)\/28. What is the greatest common divisor of 30 and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 252769, 252766, 252763?\n\"Answer: -3*y + 252772","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (2 + 1) - -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*l - 8705 + 8705)*((-2*l + 2*l - 2*l)*(-l + 4*l - 2*l) + l**2 + 5*l**2 - 3*l**2).\nAnswer: 16*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -223 (base 6) in base 2?\nAnswer: -1010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f**4 - 7*f**4 + 6*f**4)*(5 - 4 + 0)*(5 - 4 + 2).\nAnswer: 3*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -873*w - 1598. What is the remainder when 307 is divided by j(-2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of 3*v + 1\/2*v**2 + 2. What is the remainder when 4 is divided by u(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, 8.\nAnswer: -5, -3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 5*a**2 - 3 + 2*a**3 + 13*a**2 + 4*a - 22*a**2. Let c be o(2). Solve -4*g = -4*r + 5*r + 11, -11 = -c*r + 2*g for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6 - 44?\nAnswer: -4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 - ((-66)\/(-15) - 1). Suppose 32*f - 30*f + 6 = 0. What is the nearest to -0.07 in z, -0.3, f?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.005745 times 0.442\nAnswer: 0.00253929","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 225 = -25. Let g be (-4)\/10 + 6\/i. Let q = -7\/4 - -5\/2. What is the nearest to -1\/3 in q, -4\/3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 - 2*t. Let i be u(-2). Suppose i = -0*q + 3*q - 12. Let p = -4 - -13. Solve -m = v - p, 5*m + q = m + 4*v for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - -432033?\nAnswer: 432041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 + (0 + -14 - -12 - -15).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-714)\/140)\/(-51))\/(3\/12*-7).\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21037 or -21032?\nAnswer: -21037","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -290 - -273. Let d be (m\/(-51))\/((-2)\/(-150)). Solve -d = -8*b + 3*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 273192 and 9984.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 379918 and 154?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -75\/14 and 13.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46580 is divided by 787?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**2 - 6*h - 5. Let x be t(-3). Solve -4*p = -x*n + 3 + 1, 2 = 4*n - 2*p for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 - (3 - 6)\/1. Suppose 2*r - 10 + 2 = h. Suppose r*z - 2*z + 5*v + 7420 = 0, 0 = 4*z - 4*v + 14784. Round z to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.43 rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 304*h - 153*h + 3817 + 2777 = -1711 for h.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*l**4 + 97*l**2 - 56*l**5 + 10*l**4 - 4*l**3 + 3*l**3 wrt l?\nAnswer: -3360*l**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 PM and 8:49 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8 + -15?\nAnswer: -c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/(-2*10*(-10)\/(-200)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/6 and -19\/28106.\nAnswer: 84318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.010071 to 3 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h - 6. Let b be f(5). Let y be b\/(-4) + (-6)\/(-8). Does 13 divide 39\/(-6)*-4*y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sl when two letters picked without replacement from {l: 2, u: 1, s: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - (4 - 0 - 11)) + (-45 - -88 - 106)?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1164 + -1434031?\nAnswer: -1435225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 + -2. Let g = 43 - 18. Calculate the greatest common factor of g and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxxaxxaaxxxxxxxaxx. What is prob of picking 1 a and 1 x?\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b - 6. Let t be i(12). Suppose t = -8*n + 9*n. Let a(r) = -r**2 + 7*r + 4. Let s be a(n). Round s to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*u + 19*u + 16*u.\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*s + 2 + 7*s + 0*s**4 + 11*s**3 + s**2 - s + 0*s**2 - 15*s**4 to the form z + p*s**4 + x*s**2 + m*s + f*s**3 and give p.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2779665, -2779670, -2779675, -2779680, -2779685, -2779690?\n\"Answer: -5*j - 2779660","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16271 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = 3*v + 3, 4*l + 605 = 24*v - 22*v + 607 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + q - 147194 = -147063, -207 = 2*c - 6*q + 2*q + 245 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b**2 + 16*b - 17 = 0. Calculate b.\nAnswer: -17, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-3220)\/(-575) - (2 + (-13)\/5)\/(-1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -a**3*o - 1299410*a**3 + 534*a**2*o - 147*a*o - 2*a + 2*o - 4 wrt a.\nAnswer: -6*o - 7796460","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - m = -31, -41 = -3*q - 0*m + 4*m. Solve 323*n = 318*n - q for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 3:07 AM?\nAnswer: 3:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4874 + 4873.9. What is the nearest to n in 23\/4, 2, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t**5 - t**5 + t**5 + (-7*t**2 - 3*t**3 + 7*t**2)*(0*t + 0*t + t**2).\nAnswer: -5*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of -q**7\/1680 + q**6\/720 + 2*q**3 + 10. Let x(b) be the third derivative of t(b). Determine u, given that x(u) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 15*z + 155. Let y be ((-1)\/(3\/(-6)))\/(5\/z). Let l = -66\/115 - -4\/23. Which is the smallest value? (a) l (b) y (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 429 is divided by 135.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*r - 207*r - 291*r - 2*r**3 + 3*r**3.\nAnswer: r**3 - 491*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -106 - -62. Let x = l + 74. Suppose -m + x + 24 = 0. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + i. Let b = 2 - i. What is the tens digit of 312\/18*3\/b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9+16.8\nAnswer: 25.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 11806057 to the nearest ten thousand.\nAnswer: 11810000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -117*q - 122*q - 10*q + (q - q + 2*q)*(-1 + 0 + 2) - q + 2*q - 3*q + (1 + 2 - 2)*(q - 8*q + 2 + 6*q) to y*q + s and give y.\nAnswer: -250","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 134, 0.3, -0.3 in descending order.\nAnswer: 134, 0.3, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*m**3 - m**3 + 2*m**3)*(7 - 33 + 26 - 458*m) in the form x*m**4 + s*m**3 + u*m**2 + p + i*m and give x.\nAnswer: -458","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - 1\/(-2)) + 1. Let a = 210 - 214. Suppose 12*y + 418 - 466 = 0. What is the nearest to r in -5, y, a?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 9\/(3\/1)*1. Let s be 4*1 + (0 - 1). Suppose -4*h = -4*b + 112, 0 = -0*b - s*b - z*h + 114. What is b rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1075195.\nAnswer: 5, 11, 113, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 80 = -2*m, 260 = 4*m + 5*q + 100. Calculate the least common multiple of 45 and m.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7325684 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u**2 - 403981844*u + 20400166285205042 = 0. What is u?\nAnswer: 100995461","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, 3\/4, 1, 21?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 72194 = -143600. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the second derivative of 2*q + 0 + 3\/2*q**2 + 1\/6*q**3. Calculate l(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 313593 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, 3, 17, -16, -22 in decreasing order.\nAnswer: 17, 3, 2, -2, -16, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -1420.60978 to the nearest integer.\nAnswer: -1421","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-9 - 51)*(-205700)\/51. What is c rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t - 2*t - 2*t**3 + (0 + 0 - 2*t + (-2*t + 3*t + t)*(5 - 1 - 2) + 11*t - 10*t + 12*t)*(-3*t + 3*t - 3*t**2).\nAnswer: -47*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from eecccece.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(2\/1)\/4*(-280)\/20.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3612 + -3549. Calculate the highest common factor of 273 and b.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a. Let v be (-2)\/(-4) + 7\/2. Let s(b) = -11*b**2. Let p(k) = -11*k**2. Suppose -51*n = -63*n - 60. Let g(f) = n*s(f) + v*p(f). What is g(o(z))?\nAnswer: 11*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10084*j = 2*s - 10089*j - 83, 2*s - 28*j + 32 = 0 for s.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7*(-27)\/81*(-2)\/(-2).\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -132 (base 11) in base 13?\nAnswer: -c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**2 + 179560*c + 87307835.\nAnswer: 5*(c + 493)*(c + 35419)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 1723 divide 580432179?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 19\/4 of a milligram?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/277794 and -77\/2197098.\nAnswer: 24168078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 281c + 6?\nAnswer: 2822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -836 - -6799. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4482 + -4458. What is the lowest common multiple of 1116 and y?\nAnswer: 2232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = m - 5*a + 8, -4*m + 84 = -a. Does 21 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -19.\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**1*i*i*i**(-8)*(i**3)**(-6\/19))**16 assuming i is positive.\nAnswer: i**(-1504\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + n + 25 = 0. Let i = 2 - 1. Put n, i, -3 in ascending order.\nAnswer: n, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vthh. Give prob of picking 1 v and 1 h.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2*z**2 - z + 1. Let x(g) = -8*g**2 - 7*g - 26. What is -x(j) - 6*y(j)?\nAnswer: -4*j**2 + 13*j + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2453*t**2 + 4*t - 381.\nAnswer: -4906","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence atf when three letters picked without replacement from iaztefteatattetzt?\nAnswer: 7\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 21 + -480.58.\nAnswer: -459.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 at most 530\/271?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(720) + -1)*-6)**2.\nAnswer: -864*sqrt(5) + 25956","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j. Let b(x) be the first derivative of -2*x**2 - 2*x - 1. Let f be b(-4). Let n be (6 - 4)\/(1 + f\/(-10)). Let d(p) = 3*p + 1. What is n*m(u) - d(u)?\nAnswer: 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Solve -2172*a + 8778 = -2018*a for a.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (32\/(-28))\/((-516)\/(-602)).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 83 - 72. Suppose 7*n - k = 6*n. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rl when two letters picked without replacement from {u: 1, l: 3, r: 12}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -13, 19, 7 in ascending order.\nAnswer: -13, -2, 7, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**3 + c - 3. Let y(b) = -2 + 0*b + b**3 - b + 1. Let f(x) = -q(x) - 2*y(x). Let r be f(0). Solve r*k - l + 28 = 3*l, 0 = -k + 3*l - 10 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14.2 - 27. Let j = -13 - l. Let i = -1.89 + 1.59. Which is the third smallest value? (a) -2\/9 (b) i (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -3 + 19*b**2 - 21*b**2 + 212*b**3 + 274*b**3 - 184*b**3 + 3*b. Is z(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1293709.88 rounded to the nearest 1000?\nAnswer: 1294000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 - 8*j**2 + 6*j + 9. Let p be u(7). Let t be (p - 2)\/(-2) + -2. Let b be t\/4 + 2\/(-4). Let s(l) = l - 1. What is s(b)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 AM and 1:59 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 115 - 59. Suppose -j*c - 200 = -60*c. Is c a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*j - 15*j - 1610 = -3*u, -5*u = 5*j - 2685. What is the remainder when u is divided by 45?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43 is divided by (11\/(-4))\/((-4)\/16)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70)\/(sqrt(2) + sqrt(10)\/sqrt(5)))\/sqrt(7))**2.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -1, 0.1, -0.06, 1, -162?\nAnswer: -162","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 222*a**3*b**3*g + a**3*b*g - 2*a**2*b**2 - 2*a*b**3*g**2 + 14*a*b*g**2 - 49*a wrt b?\nAnswer: 1332*a**3*g - 12*a*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s + 5. Let w be x(-3). Let g(f) = -6 + 0*f - 2*f + 0 + w*f**2. What are the prime factors of g(5)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22 + -11. Let d(f) = 11*f - j*f - f**2. Let i(t) be the second derivative of -t**3\/2 + 75*t. Give i(d(n)).\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 2*i + 1. Let v(m) = 586*m + 579*m - 1166*m. Determine -3*v(o) - 2*w(o).\nAnswer: -o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.34805 - -0.34. What is p rounded to three decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8984 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*j**3 - 725*j + 725*j.\nAnswer: 39*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 - 7*t**2 - 5*t - 12. Let i be x(8). Suppose 3*w = -6, 3*m - 6*w + 3*w = 78. Let l = i + m. Calculate the greatest common divisor of 54 and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/3*135\/18. Suppose -2*z + 2 = -6. Suppose -w*n = -z - 11. Solve 3*q + 4*x + 15 = 0, 2*q + 5 = n*q - 2*x for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 237\/33 + -7 + (-27)\/(-33)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -518 + 100*c**2 + 518 + (2*c - 3*c + 2*c)*(c - 4*c - 1930 + 1942) to the form x*c**2 + f*c + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 99929 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*z - 38 = 274 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6, 2, -4\/3, 92, -1.2?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2077 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**2 - 8. Let d(c) = c - 12. Let s be d(12). Calculate a(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from knkkkknkkkk. Give prob of picking 2 k and 1 n.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9*b + 0*b - b)*(-12 + 3 - 11)*(3*b - 3 + 3) to the form a*b**2 + k + s*b and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132 = 201*r - 179*r for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 843*a + 837*a + 797*a - 2475*a + 638 as o*a + f and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u**3 - 162456*u**2 - 1624410*u - 4060900 = 0. What is u?\nAnswer: -81218, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 27 = 3*p. Let k be (-1 - (0 + -10)) + 1. Let w = k - p. Solve 6 = -w*f - 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14*-44\nAnswer: 616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = u + 14. Suppose 6 = y - 2*b, 5*y + 4*b = 26 - u. Let d = y - -9. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35.8884*1\nAnswer: -35.8884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 2)*((-2*n - 4*n + 4*n)*(2 + 1 - 1) - 1035*n - 1259*n + 2569*n - 4*n - 2*n + 4*n).\nAnswer: -538*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 20 = -4*t, -2*t - 4*x = -4*t + 20. Suppose t = -2*q + k - 16, -4*q - 21 = 2*k + 19. Is q <= -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + -1220312?\nAnswer: -1220302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 144 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 271878 is divided by 40.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 + v**2 + v + 2. What is the remainder when 12 + ((-112)\/336)\/((-1)\/(-21)) is divided by m(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -430.9 - -431. Which is smaller: o or 2.4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2835?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2 - -1) + 0)\/4. Let m = 8 + -13. Put d, -0.3, m in ascending order.\nAnswer: m, -0.3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10892 is divided by 29?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 + q - 12. Determine u(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8220 and 48.\nAnswer: 32880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i. Let o be v(-2). Suppose o = 4*r - 402. Let p be (-2 - (1 + -2)) + r. Calculate the highest common factor of 20 and p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 67*q + 80 + 121 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**2 + 4*k + 8. Let p = 62 + -39. Suppose q = 5*y + 1, 4*q - p = 3*y - 2*y. Give b(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -23136 to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p - 4*p**5 + p - p**5 + 0*p**2 + 0*p**2 + p**5 + 0*p + 0*p + (3 - 2*p**4 - 3)*(5*p - p - 3*p) - 3*p**5 - p**5 + 0*p**5.\nAnswer: -10*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 30 or -417183?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7520*w - 50 = 4*y - 7518*w, 49 = -5*y + 2*w for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14.726844 + -5.\nAnswer: 9.726844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6379721 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and -1788122.\nAnswer: -536436.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 3 c when four letters picked without replacement from eeccceccccc.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 43143 by 219.\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (66*x + 0 - 40*x - 1)*(-x - 1 + 1)*(-14 + 18 + 62).\nAnswer: -1716*x**2 + 66*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**4 + n**2 + 4*n + 43. Let t(v) = -v**4 + v**2 - v + 1. Let b(m) = l(m) + 4*t(m). What is the first derivative of b(h) wrt h?\nAnswer: -12*h**3 + 10*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100.1 rounded to the nearest ten?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 89343048?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 2*j + 12, -4*j - 28 = -j + 5*f. Let r = j + 19. What is the third smallest value in -2, 0, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -150074.8 to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -59092.191165 - 5.\nAnswer: -59097.191165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(1\/21)*t*t*t\/(((t**(-1\/6)*t)\/t)\/t*t))\/(t**(-7\/5)\/t**(-8\/3)))**13 assuming t is positive.\nAnswer: t**(5317\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 42 + (-231 - (-8 - 56))?\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - 192 - 24. What is the highest common divisor of 18 and j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 144, 255, 352, 429, 480, 499, 480?\n\"Answer: -k**3 - k**2 + 121*k + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7.05 + 0.05. Let g = 58.036 + -53.036. Sort g, 3, a in decreasing order.\nAnswer: g, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 51742901?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-21)\/(-4))\/(-7) - 241830\/(-72).\nAnswer: 2, 23, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from emqzqccqxcxceqe. What is prob of picking 1 c and 1 e?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11958, 31, 3, 5 in decreasing order.\nAnswer: 11958, 31, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -254910, -2, 431 in increasing order.\nAnswer: -254910, -2, 431","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, a: 1, w: 2, p: 3, t: 1, b: 3}. Give prob of sequence bww.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1945090607?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 3*f + 3*o, -43 = 2*f - 5*o - 17 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5256 and 293460?\nAnswer: 1760760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 3*y**3 + 2*y**2 - y. Let g(u) = 2*u - 3. Let a be g(2). Let z be q(a). Factor -1 + 6*v**2 + 4*v**3 - 5 + 2 - 2*v**3 - 2*v**z - 2*v.\nAnswer: -2*(v - 2)*(v - 1)*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -77*p - 185. Does 9 divide x(-37)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13517 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.704309 to one dp.\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.10071 * -14.\nAnswer: -1.40994","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1195, -987, 665, 3761, 8301?\nAnswer: 14285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 446579 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 18 * 228.8123\nAnswer: 4118.6214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 PM and 3:44 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 + 7*w**2 - w + 6. Determine f(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*f + 36 = 17*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (((-132)\/18)\/(-11))\/(24\/(-3)*1). What is the third smallest value in -0.3, -4, -0.1, a?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.20283 - -0.063737. Let r = -0.139 - f. Round r to five decimal places.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 + t**2 - t - 58. Determine b(-3).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 259\/(-315) + 10\/(-150)?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -2*j**2\/3 - 13688*j\/3 + 13690\/3 = 0.\nAnswer: -6845, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 125*v**3 + 4 + 439*v**3.\nAnswer: 314*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1110 - -12?\nAnswer: 1122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -74, -236, -496, -902, -1502?\n\"Answer: -8*g**3 - g**2 - 103*g + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*h = -3*s + 26*h + 6699, -3*s + 6765 = -13*h. Does 16 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 30522.0757 + -30512. Let z = 5.1816 - q. Let p = z - -4.9. What is p rounded to 3 dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3578568 and 30072.\nAnswer: 3578568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00009214782 to 4 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8539754?\nAnswer: 2, 4269877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1125 and 90.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -19, -3, 0, 3 in ascending order.\nAnswer: -19, -5, -3, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2996, 4472, 5948, 7424?\nAnswer: 8900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/136728 and 115\/10128.\nAnswer: 273456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/2)\/(-27)*2\/8*1512\/1386?\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 91 - 129. Let k = -34 - v. Let d be 0\/2 - (3 + k). Let t(j) = j**3 + 7*j**2 - j - 1. Determine t(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1611 - -1b?\nAnswer: 162c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 + -3)*31\/(-124).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.4 + -1.4. Let g = 11 + -10. What is the nearest to g in -1\/2, n, -4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 699 - -7949?\nAnswer: 8648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11091 and 117?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes before 9:55 AM?\nAnswer: 7:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -34*r + 35*r. Let w(j) = j**2 - 6*j + 4. What is w(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -37.5 + 37. Let b = h - 0.5. Sort b, -0.1, 10 in ascending order.\nAnswer: b, -0.1, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 467377.\nAnswer: 191, 2447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (4 - (7 + -2)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*n**2 - 2*n**2 - 3*n**2)*(1 + 2 - 1)*(2 - 1 - 2)*(-2 - 7 + 4).\nAnswer: 20*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 45076, 180328, 405750, 721342?\nAnswer: 1127104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 160 (b) 0 (c) -1 (d) 2080\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 9) in base 2?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * -22759679.8.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of n**5 - 1716*n**4 - 7667*n**3 - 2040285*n - 16 wrt n?\nAnswer: 20*n**3 - 20592*n**2 - 46002*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8 + -5 + 2 + (0 - -2). What is the first derivative of 25 - b**2 - t*b - 39 - 45 wrt b?\nAnswer: -2*b - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + -1. Let o be (-44)\/(-10) + 28\/(-70). Let h(v) = -v**2. Let t(i) = -2*i**2. Calculate a*t(s) + o*h(s).\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o + 18 = o. Let s(r) = -11*r - 17. Let x be s(-6). Let w = x - 50. Which is bigger: o or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/7 - (-9)\/14*-2. Let a be (28\/(-16))\/(l\/4). Calculate the greatest common factor of 7 and a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = 2*m - 88, 0 = -327*w + 661*w - 332*w - 4*m - 44 for w.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5357666 (base 8) to base 16.\nAnswer: 15dfb6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1, -48, -109, -190, -297, -436, -613?\nAnswer: -834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -449.1 to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*(-2)\/(-22)*2. Let m = 11 + -11. Which is the smallest value? (a) r (b) 0.3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2657307503 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 - 14. Suppose -8 = -4*m + 2*m. Let n be 1 - (2 - 1)*0. Sort s, m, n in ascending order.\nAnswer: s, n, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 5*i**3 + 5*i**2 + 12*i - 4. Let p(a) = -4*a**3 - 6*a**2 - 11*a + 4. Let h(x) = -4*p(x) - 3*z(x). Let u be h(-8). Let m(g) = g - 3. Give m(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4044631*w**3 + 11388874 wrt w.\nAnswer: -12133893*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2983 less than -38786\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 + 4*g**2 + 7*g - 6. Let i(f) = -f**3 + 2*f + 1. Let t be i(-2). Let z be b(t). Let p = -269199.3 + 269199. Sort 0.3, -4, z, p.\nAnswer: -4, p, 0.3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80 is divided by 46.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = v - 3*g, -v = 4*v + g - 196. Suppose -j - v = -5*j. Find the second derivative of -6*m - j*m - 2*m**3 + 9*m + 3*m**3 wrt m.\nAnswer: 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136 = 2*f - 2*o, 4*o = 3*f - 5*f + 106. What is the highest common factor of 7 and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -147, -208, -283, -378, -499?\n\"Answer: -p**3 - p**2 - 51*p - 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 7*h**3 - 24*h**2 - 28*h - 17. Let i(r) = 3*r**3 - 12*r**2 - 14*r - 9. Let m(j) = 2*b(j) - 5*i(j). List the prime factors of m(13).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 133, 960, 3179, 7486, 14577, 25148, 39895, 59514?\n\"Answer: 116*i**3 + 15*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26464952, 52929902, 79394852, 105859802?\nAnswer: 132324752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 332223638?\nAnswer: 2, 23, 193, 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 59\/12 - 14\/3. What is the second biggest value in a, 2\/5, 0.5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 7 = -2*b + 5*o + 32, 4*b - 10 = 3*o + 5 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 15 + -122 + 81 + -3 + -56\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/3*y**3 + 328\/3 - 500\/3*y + 176\/3*y**2.\nAnswer: -4*(y - 41)*(y - 2)*(y - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -34509*i**2 + 2*i - 72742.\nAnswer: -69018*i + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 26\/85 - 12\/17. Let w = 146 + -146.038. Is m not equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 f when two letters picked without replacement from ffftffhhfcffchhtfth?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by 951223?\nAnswer: 6\/951223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 131619 and 1095.\nAnswer: 658095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110010110101010010 - 1110010101?\nAnswer: -110011000011100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 66163857943 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13064*t + 2234*t + 2445*t - 7.\nAnswer: 17743*t - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -227*b + 254*b. Are b and 24\/179 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 7*m - 21 + 19 - 7.\nAnswer: 7*m - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12.27 - 16.27. Let u be 2 + 2\/(-10)*12. Is u bigger than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in five quarters of a meter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j**3\/3 + 6*j**2 + 4*j - 32\/3 = 0. Calculate j.\nAnswer: -8, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -3\/58, -1297\/31, -1\/7 in decreasing order.\nAnswer: -3\/58, -1\/7, -0.5, -1297\/31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wmwwnwowwxpxxmwwww. Give prob of picking 1 x and 1 p.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5 <= -870?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1332 + 2678 + 361*d**3 - 1347 + d.\nAnswer: 361*d**3 + d - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41416462 is divided by 79.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 280 + -360. Let x be (v\/120)\/(2\/(-10)). Factor 2\/9*t - 2*t**4 + 0 - 14\/9*t**2 + x*t**3.\nAnswer: -2*t*(t - 1)*(3*t - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12942 + -12940. Suppose 4*w + 5*y - 3 = 0, 4*y + 8 - 4 = 0. Solve -i = -w*u - 10, -2*u = -4*i + j*u + 28 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18755339 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add 7131818442 and 0.06.\nAnswer: 7131818442.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 5 = -i + 4, 0 = -i - 5. Let m be 2\/(v*4\/12). Let r be ((-12)\/(-8) - 2)\/(4\/8). Sort -17, 5, m, r in descending order.\nAnswer: 5, r, m, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - 4*x + 12, 2*u - 6*x = -x - 15. Let n be 5 - 8 - (-122 + (-1 - u)). Suppose -4*s = -420 + n. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 2*x = 809, 0 = 88*o - 83*o - 5*x - 4030. Suppose 2*y + k = -0 + 25, -y = 5*k - 26. Calculate the greatest common divisor of y and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -339 - -340.77. Round d to one decimal place.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**3\/7 - 9*n**2\/7 - 3*n\/7 + 9\/7.\nAnswer: 3*(n - 3)*(n - 1)*(n + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-48100)\/(-400) - (1 + 3\/(-4)).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 24324, 17.\nAnswer: 1, 17, 24324","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 29 - 25. Sort j, -2, 3\/4 in ascending order.\nAnswer: -2, 3\/4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -90 - 278. Let s = 187 + a. Solve 3*c + s*i = 6, 5*c - i = i + 24 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26475593 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 16*g + 20*g = 39550, 3*g - 39543 = -3*f. What is the tens digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-4)*-25 - (-4)\/(-16). Let r(t) = -t - 8. Let f(b) = -b - 7. Let s = 4 - 9. Give s*r(p) + w*f(p).\nAnswer: -p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + u - 14 + 7 = 0, 0 = -4*l + 4*u + 20. Let g be l\/(-3)*0 + 27. Suppose -g = -3*q - 5*a, -2*q + 0*q - a = -11. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/3327 (b) -2\/5 (c) -25\/6 (d) 22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6771307?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -2827728.\nAnswer: 1\/1413864","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3573.\nAnswer: 3, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3803 + 3815. Let n(v) = v**3 + 5*v**2 - v + 5. Calculate the least common multiple of n(-5) and u.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -8*c - 3. Let s(t) = t**3 - 9*t + 4 - 3 - 5. Let q(x) = 4*n(x) - 3*s(x). What is the second derivative of q(u) wrt u?\nAnswer: -18*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 992 a factor of 1056855381?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2430 = -369*p + 504*p for p.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7420 + -7419. Solve -l = 4*h - 8, -4*h + 5*l + 31 = -g for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -3*s + 14, -5*h - 3 = 4*s - 22. Suppose -2*t = -s*l + 2*l - 326, -663 = -4*t - 3*l. What is the highest common factor of t and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h + 29. Let k(j) = 20*j**2 - 4*j - 3. Calculate the remainder when k(-2) is divided by d(7).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that t**4\/2 + 2261*t**3\/8 + 7317*t**2\/8 + 773*t + 281\/2 = 0.\nAnswer: -562, -2, -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 11*n + 18. Let l(t) = 5*t + 9. Let s(z) = 9*l(z) - 4*m(z). Let u be s(-6). Solve -u*g = 2*g - 20 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9022083.\nAnswer: 3, 7, 61, 7043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 i, and 1 y when three letters picked without replacement from {r: 3, i: 2, y: 3, n: 1, k: 2, v: 1}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 - 4. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-5*(sqrt(204) - (sqrt(204) - (sqrt(204) + (1*-4*sqrt(204) - sqrt(204)) + sqrt(204)))))\/(2*sqrt(12)*6 - (-1*sqrt(192) - sqrt(192) - sqrt(12))) + 0.\nAnswer: 1 + 5*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -12753.3 rounded to the nearest 1000?\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (11\/55*5)\/((-9)\/(-2))*6\/(-20)\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 2*r = -1460, 17*i - 21*i + 2902 = -5*r. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(13) + -2)*3 - sqrt(13) - (-2*sqrt(325) + sqrt(13)))*6)**2.\nAnswer: -4752*sqrt(13) + 57924","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5848245?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m + 499*c - 494*c - 219969, 4*c + 164938 = 3*m. What is the highest common divisor of m and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and 120.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5133491 to the power of 1\/2, to the nearest integer?\nAnswer: 2266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 7298283877 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, z: 4, k: 2}. Give prob of picking 1 z and 3 i.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-5040)\/12789 - (-6)\/(-174)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.19095 millimeters in kilometers?\nAnswer: 0.00000719095","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30)\/15)\/(17*(-3)\/3).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -187986333*p**3 + 2*p**2 - 217032*p + 243 wrt p.\nAnswer: -1127917998*p + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 2*n - 100. What are the prime factors of n?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3135143760 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 1666535991?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 670018242 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-599)\/8386)\/((-12)\/(-14))?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/7, -11, 2\/11, 0, -0.0278.\nAnswer: -11, -4\/7, -0.0278, 0, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*m + 2*w = -10, -4*m + 8 = 114*w - 109*w for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*m + 57 + 33 = 0 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5575067 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 120719038177 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 minus -32.0725?\nAnswer: 31.6725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -5694 divided by 3\nAnswer: -1898","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -264 = -4*a + a. Suppose -5*m - a = -3*r + 29, r = 2*m + 40. Does 7 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 8*p + 1 = 0, -215 = 5*p - 200 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 4*f**2 + 3*f + 9. Let t(a) = 4*a**2 + a**2 + 0*a - 1 - 6*a**2 + a. Let y(b) = -l(b) - 3*t(b). Determine y(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -413*t + 2609 + 413 = -2347 for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7 - -80ad4c?\nAnswer: 80ad55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (63\/(-14))\/(24\/2).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5758 from 0.800143.\nAnswer: -5757.199857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -421, -422, -423, -424?\n\"Answer: -w - 420","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 - 9*w + 29. Let j(h) = -5*h**2 + 43*h - 143. Let c(b) = 2*j(b) + 11*m(b). Let s be c(3). Is -0.1 smaller than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 + 4 - (-1 + 0). Suppose 1 = s + q. Let y be ((-3)\/(-9))\/(s\/12). Let c(l) = 2*l**3 + l**2 - 2*l - 3. What is c(y)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14923 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 801.\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -c - 1, -4*c - 2 + 10 = -4*v. Let t = 8 - c. Suppose 3*o - 1476 = -t*o. List the prime factors of o.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -171850 = 3133*d - 3183*d. Is d a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 13, b: 6}. What is prob of picking 3 b and 1 x?\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 a, and 2 v when four letters picked without replacement from vajvavavaaavavjvjj?\nAnswer: 49\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 + 148\/(-4) - 0. Let l be (84\/15)\/((-2)\/x). What is the tens digit of (l\/(-6))\/((-6)\/9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2011, 2404, 3051, 3946, 5083, 6456, 8059?\n\"Answer: -a**3 + 133*a**2 + a + 1878","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3741976 and 448.\nAnswer: 29935808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100 + 11101002?\nAnswer: 11101102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 39*o - 1396. Let g be j(36). What is the greatest common factor of g and 74?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: (5 + -12 - -14) + -1\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 2:41 PM?\nAnswer: 8:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 50, 4, -2, 0, -17, -1764 in increasing order.\nAnswer: -1764, -17, -2, 0, 2, 4, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7.8 + -6. Let q = h - 1.5. Let d = -48 - -53. What is the smallest value in q, -2\/5, d, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2. Let w(p) = -432*p + 28. Let l(d) = -431*d + 21. Let s(g) = -8*l(g) + 6*w(g). Calculate s(a(j)).\nAnswer: 856*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -269*j + 192*j + 147*j + 910 for j.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 4*v - 12. Let q(l) = -l**2 + 7*l - 6. Let y be q(v). What is the third derivative of 2*j + j + j**2 - 3*j - 3*j**y wrt j?\nAnswer: -360*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bsbg when four letters picked without replacement from ggbgssbggggssgbgb.\nAnswer: 9\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 2*r**2\/17 + 479394*r\/17 = 0.\nAnswer: -239697, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + z = -0*w + 20, 0 = 3*w - 5*z + 16 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 72889068?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4\/(-8)*(-77 - 3) and 15?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-275)\/16555*-43)\/((-4)\/42)?\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7908401.\nAnswer: 101, 78301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 184 is divided by 83.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -30 - (-147 - -26 - 14) - 30?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -k**3*w - 649*k**3 - 377*k**2*w wrt w.\nAnswer: -k**3 - 377*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 8*b = 32. What is the remainder when ((-12)\/(-2))\/((-1)\/(-5)) - 0 is divided by b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 42e - 5879?\nAnswer: -544a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooookvoikofi. Give prob of sequence oo.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-4\/13)*k*k**(-17) assuming k is positive.\nAnswer: k**(-212\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b + 204 = 12*b. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 23*o**5 - 6*o**3 + 398*o + 2 wrt o.\nAnswer: 460*o**3 - 36*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are -57030 and -57030 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18*g**2 - 49*g**4 + 1 - 12*g**2 - g**2 wrt g?\nAnswer: -1176*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 24 = -2*f, 5*v - 4*f = 3*v - 8. Suppose v*a - 9*a = -20. Let h(k) = 7*k - 3. Is h(a) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 5*q**3 + q**2 + q - 1. Let k be i(1). Let g = 50 - 48. Solve -k*t + 4*t + g*o - 12 = 0, 0 = -5*o + 15 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)\/sqrt(2) + -3 + sqrt(20)\/(sqrt(4)*1))*2.\nAnswer: -6 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 25*t**2 + 12. What is the smallest common multiple of g(-2) and 22?\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 4*s = -1585, -2*z + 4*z + 4*s = 1070. Suppose -10*a + z + 1569 = 0. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 3*u + 12 = 0. Suppose -2*y = -3*t + 14, -5*t + 3 + 23 = -2*y. Let c be 21\/14 + t\/4. Solve -c = -u*q - 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 113718604?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5797897cm to kilometers.\nAnswer: 0.000005797897","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 853 is divided by 529?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 6*a - 63 + 42 + a**3 + 31 + 5*a**2. Let c be v(-4). Suppose 0 = 5*q - 18 - 107. Solve 2*f + c = 3*f - z, -5*z = 2*f - q for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*u**2 - 11*u**2 + 4*u**4)*(9 - 4*u - 9).\nAnswer: -16*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 2*j**3 + 48*j**2 + 185*j - 770. What is v(-13)?\nAnswer: 543","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 207\/(-46)*(-24)\/54.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17 - 12. Let u be ((-5)\/20)\/((-4)\/12). Let z be 4 + 34\/(-10) - 56\/120. Which is the fourth smallest value? (a) z (b) -0.4 (c) k (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1407\/(-11193) + (4\/82 - 0))\/(1\/7)?\nAnswer: -7\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 99 + 25?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 50922\/(-1863)*2\/(8\/(-6)). Sort 5, o, 24 in descending order.\nAnswer: o, 24, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -413574*z**3 + 1422666*z**2 - 2*z wrt z?\nAnswer: -2481444","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 10 = -2*o + 46, 0 = o + 4. Let y = -4247 + 4251. What is the lowest common multiple of y and c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 + 9*f**2 - 6*f - 14. Calculate i(-10).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*f**5 - f - f + 3*f**5 - f**5 - 4*f**4 + 4*f**4 + (-4*f**2 + 4*f**2 - f**5)*(-5 - 3 + 4).\nAnswer: 6*f**5 - 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*b**3 + 2*b**3 + b**2 - 2 + 6*b**3 - 10*b**3 as o + a*b**3 + l*b + q*b**2 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -17 in -96, 5\/6, 14611?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1843 + 2248. What is the remainder when g is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 9672, 0, 4 in decreasing order.\nAnswer: 9672, 4, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 + 2*q**2 - 12*q - 53. What is n(-3)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i**2 + 7 - 7)*(2*i**2 + 0*i**2 - 4*i**2) + 7*i**4 - 2*i**4 - i**4 - 37*i + 1 + 4*i**4 + 37*i.\nAnswer: 14*i**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of 2*v**3\/3 - 5*v**2\/2 - 2*v + 1. What are the prime factors of o(4)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114) + -2*sqrt(114) + sqrt(114))*2 + sqrt(114) - (sqrt(114) - (sqrt(114) + (sqrt(114) + (sqrt(114) - -1*sqrt(114)))*1)))\/(4*sqrt(42)\/sqrt(63)).\nAnswer: 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 214150 to the power of 1\/3, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -2*j - 24. Determine k(-19).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 37 - 11. What is the remainder when 41 is divided by l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 + -7. Suppose 3*p + 4*r + 352 - 1095 = f, 0 = -3*p + 3*r + 771. What is the highest common factor of 23 and p?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.04 + 1298060198129\nAnswer: 1298060198128.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -575342 + -2?\nAnswer: -575344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -39*m + 4391. Let b be 0\/(2\/(2 + -2 + -2)). Is j(b) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 13*w + 685. Give n(-53).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3959 (b) 0.5 (c) 1\/4 (d) 3 (e) 0.2 (f) -2\/9\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from stftmtkpttt. Give prob of picking 1 f, 1 s, and 1 m.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-26)\/390*((-2)\/8)\/((-3)\/(-30))\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 6\/13 (b) -0.5 (c) -22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 478*b + 87. Let o(w) = 434*w + 88. Let k(h) = 10*a(h) - 11*o(h). What is k(11)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 77*t**2 - 27*t - 473. Let a(m) = 38*m**2 - 10*m - 237. Let p(u) = 7*a(u) - 3*w(u). Differentiate p(b) wrt b.\nAnswer: 70*b + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 755, 2946, 6597, 11708, 18279, 26310?\n\"Answer: 730*l**2 + l + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*x - 9*x - 2 - 13*x + 3 in the form i + n*x and give n.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 5\/4 (b) -4 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -14bc - -8e?\nAnswer: -142d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzt when three letters picked without replacement from xvvzfutfz?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 84.2288 from -85.313.\nAnswer: -169.5418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 3 - 1)*(-4 - 21 - 25)*(g - 4*g + g) as t*g + v and give t.\nAnswer: -200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bkksple. Give prob of picking 1 e and 1 b.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 4*i = -1 - 3, i = -2*s + 10 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -52 (base 14) to base 15.\nAnswer: -4c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 + -1.7\nAnswer: -2.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 545 is divided by 51.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 400311 to the power of 1\/2, to the nearest integer?\nAnswer: 633","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -4 - v + 2*v - 15*v - 1 - v**2. Let n be d(-15). Let c = -33 - -12. Is n <= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(208) - (4 + sqrt(208) + sqrt(208) + -1))*-6 + 5*-5*(sqrt(208) + (1 + sqrt(208) - sqrt(208))))*5)**2.\nAnswer: 26600*sqrt(13) + 1878425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((x**(-4)*x*x)\/x)\/x**(-4\/11))\/(((x*x\/(x\/x**11)*x)\/x)\/(x*x**(-4\/7))))**3)**(-1\/19) assuming x is positive.\nAnswer: x**(3282\/1463)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that o**3\/9 - 85*o**2\/9 + 248*o\/9 - 164\/9 = 0.\nAnswer: 1, 2, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1626\/13 - 125. Which is smaller: 1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.87 + -4. Let w = -0.17 + t. Which is the closest to 0? (a) 1\/3 (b) 2\/3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/sqrt(6)*-2 + 0.\nAnswer: -2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.08, 21\/256, -0.2, -0.5?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26, -31, -32, -29?\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.951 - -2053.649. Round u to the nearest one hundred.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1476170.\nAnswer: 2, 5, 147617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f*f*f*f**(1\/7)\/f*f)*f\/(f\/f**7))\/(f\/f**0*f)**(-25))\/(f**(-6)*f**8)**(13\/7) assuming f is positive.\nAnswer: f**(358\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -841435 + 841388.999632. Let o = -43.009 + -2.991. Let f = o - s. What is f rounded to 5 decimal places?\nAnswer: 0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -46, -128, -212, -298, -386, -476, -568?\nAnswer: -662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 + 21*c**2 - c + 28. Let p be x(-21). Let s be 3\/6 + 98\/(-4). Let y = p + s. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 4*y + 2503 + 801, 0 = 2*y. Suppose 4*o - 3*o - p = 207, v = 4*o - 5*p. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 16) in base 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1, 4, 131 in ascending order.\nAnswer: -1, 2, 4, 131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 177127?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -3*s - 19. Let u be a(10). Let f = -83 - u. Let h = -32 - f. Solve -3*y + 3 = 0, 0*y + h*y = 5*v + 12 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 - (-2)\/(-2))*(-4)\/(-1). Suppose 5*z - z = -o*v + 344, -4*z - v + 332 = 0. What is the tens digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 4, l: 1, o: 2, z: 1, j: 1, m: 3}. What is prob of sequence lvv?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 118246 to the nearest integer?\nAnswer: 344","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 426*t - 6*t**4 - 426*t + (-t**2 + 0*t**2 + 0*t**2)*(2*t**2 + 0*t**2 - 3*t**2).\nAnswer: -5*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42863249.\nAnswer: 11, 13, 299743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 662 = -659 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of -h**7\/315 + h**6\/180 + h**5\/90 - h**4\/36 - h**2 + 3*h. Let a(x) be the first derivative of n(x). Factor a(g).\nAnswer: -2*g*(g - 1)**2*(g + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 176 and 6097200?\nAnswer: 67069200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.23 - 0.2286. What is l rounded to four dps?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - -2640610?\nAnswer: 2640615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 381\/7 - (-40)\/70?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -15*v**4 - 7767*v**3 + 205593*v**2 + 183375*v - 381186 = 0.\nAnswer: -543, -9\/5, 1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15184, -21964, -28744, -35524, -42304?\nAnswer: -49084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2699 is divided by 895?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3527, -7036, -10545?\n\"Answer: -3509*l - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21676, 84351, 188812, 335059, 523092?\nAnswer: 752911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10215, -10221, -10251, -10317, -10431?\nAnswer: -10605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -109680 - -188373. What is the thousands digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(208) + sqrt(208) + -2 + (-5 + sqrt(208)*2 + sqrt(208) - sqrt(208)))*-4)**2.\nAnswer: -3584*sqrt(13) + 54032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 572 + 1481. Suppose -2*o = -1147 - p. Round o to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3\/2 (b) 0.4 (c) 793 (d) -1.1 (e) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 19 = -c, 5*c + 0*s = -s + 23. Let x(g) = -2*g - 1 + c - 7. Determine x(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 0*c - 5 - 6*c**2 + 4*c - 5*c - 7*c**2. Let o(t) = -25*t**2 - 2*t - 10. Let q(n) = 5*l(n) - 2*o(n). What is the second derivative of q(d) wrt d?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124 = -4*l - 28. Suppose 0*b - 63 = -4*b + a, 0 = -2*b + 2*a + l. List the prime factors of b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**4\/13 + 82*d**3\/13 - 630*d**2\/13 + 1782*d\/13 - 1728\/13.\nAnswer: -2*(d - 32)*(d - 3)**3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16774 + -15765. Calculate the least common multiple of o and 7.\nAnswer: 7063","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14487 less than -201.8?\nAnswer: 14285.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (0 - 2) + 13 + -11?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**3 - 216*u**2 - 3888*u - 23328.\nAnswer: -4*(u + 18)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) -6 (c) 112\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8793234?\nAnswer: 2, 3, 488513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 10 = m - 2*g, 2*m = -5*g + 35. What is the remainder when 9 is divided by m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 5*q + 38, -3*v + 5*v + 12 = -2*q. Let s(d) = 39*d + 313. Determine s(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (32\/140)\/((-16)\/(-40)) - 293446\/(-14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 6*x**3\/5 - 4674*x**2\/5 + 4632*x\/5 + 28008\/5 = 0.\nAnswer: -2, 3, 778","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -292358*l - 382 + 292358*l - 742*l**4 wrt l.\nAnswer: -2968*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 27.7 + -27.700000246. Round j to 7 dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8\/18*6*87\/58. Solve -o - 3*f + r = -2*o, -4*o = -3*f + 7 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -12729052 and -1.\nAnswer: 12729052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103 is divided by 22.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 15780343 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -0.5, -4, -240, 4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2. Let h(j) = -10*j**2 + 14. Let g(v) = -11*v**2 + 14. Let c = 312 + -315. Let s(i) = c*h(i) + 2*g(i). Determine s(a(d)).\nAnswer: 8*d**4 - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 913?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 65791648 divided by -3?\nAnswer: -65791648\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*g**3 + 56*g**2 - 3261*g wrt g.\nAnswer: 48*g + 112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 40351 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**15*s)\/((s**(1\/20)*s)\/s*s*s)*(s\/s**(-43))\/(s*s**37\/s) assuming s is positive.\nAnswer: s**(-161\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - 4664\/385 - (-692588)\/8645?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = -4*a - 28, -110*a + 112*a + 4*x + 20 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of -9*o**4\/4 - 7*o**3\/3 - 2. What is the third derivative of z(j) wrt j?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 7*w - 170 = 0. Let a = w + 296. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 3*c - 8*c. Suppose 0 = -o - w - 1 - 12, c*o + w + 23 = 0. Let a = 5 + o. What is the nearest to 2 in 1, a, 5\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 2:40 AM?\nAnswer: 10:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -9*t + 8. Suppose -7*n + 67 = 95. Let a(k) = 17*k - 14. Let u(r) = n*a(r) - 7*z(r). Let g(d) = 4*d. Give -4*g(h) - 4*u(h).\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 6 = -2*o. Is -3 at least as big as o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*g - 32856 - 2730 = 0. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*n**3 + 8*n**3 - 3*n**4)*(-2 - 3 + 1)*(-2*n - n + n).\nAnswer: -24*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (1632 - 3882 + 1798)*(-w - w + w) as h*w + d and give h.\nAnswer: 452","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j**2 - 36*j + 32 = 0. Calculate j.\nAnswer: 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 20476361 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1380*b**2 - 1389657*b + 3021.\nAnswer: -3*(b + 1007)*(460*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.05 and 0.7.\nAnswer: 0.035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 322461899?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 + 9*a**2 - 15*a - 8. Suppose -48*b - 1440 + 1728 = 0. Determine n(b).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 50 + -32. What is the remainder when 56 is divided by x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 194*v**3 - 31*v**3 + 49*v**2 - 243*v**2 - 50*v**3 + 146*v**3 wrt v?\nAnswer: 1554","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7989 + 266961.\nAnswer: 258972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -50432, -59862, -69292, -78722, -88152?\nAnswer: -97582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 289 a factor of 19074?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 75 and 0.4.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 3*s = -57 + 32, 30 = 5*u - 4*s for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -2035*t**2 - 82*t - 659. Let w be p(-7). Round w to the nearest 10000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1578, 3153, 4716, 6273, 7830?\n\"Answer: o**3 - 12*o**2 + 1604*o - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 28 = x, 4*p - 9*x + 14*x - 12 = 0. Solve m = 3*h + 4, 5*m + 2 = p*h - 4*h for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.046582 and 0.42.\nAnswer: 0.373418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -22, -34, -32, -16, 14?\n\"Answer: 7*q**2 - 33*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25095 and 385?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 4*q + 5*k, 0 = 4*k - k - 9. Suppose -3167 = -c - 2*c - g, q*c = g + 2108. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 35 + -23 + (0 - 8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 51\/72 + (-1)\/3. Let c = 8 - 11. What is the second smallest value in c, -0.2, i?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*m**2 - 10*m**2 - 6*m**4)*(-2*m + 6*m + 15 - 12).\nAnswer: -24*m**5 - 18*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1210061 (base 8) to base 2\nAnswer: 1010001000000110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2330339?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 12) in base 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -3365100 to the nearest one hundred thousand.\nAnswer: -3400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-46*l - 13*l + 86*l)*(0 + 1 + 1).\nAnswer: 54*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 356585 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*k = 18*k + w + 140, 30*k = -w - 815 for k.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -1 - 13*x + 10*x - 1. Suppose -9 = 2*h + 5*w, h + 4*w = 4 - 10. Let y be i(h). Solve 3*k - y = -10 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-5)\/d)\/(d\/(d\/(d*d*d*d*d**3*d)))*d**(-6)*d**6)**(-4\/21) assuming d is positive.\nAnswer: d**(8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57913*a - 80 = 5*v - 57922*a, 2*v = 5*a - 46 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*a**2 - 20 + 20 + 2*a.\nAnswer: -25*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 178*u - 174*u = 2*y + 22, -5*y - 37 = -4*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 126 + -124. Let i be -5 + (w - 0) - (-50)\/20. Sort -0.2, i, 3\/7, -10.\nAnswer: -10, i, -0.2, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -982534 - -1692534. What is c rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.39252 plus -0.80641?\nAnswer: -0.41389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136*a = 56*a + 173760. What is the least common multiple of 33 and a?\nAnswer: 23892","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1909.39 to the nearest ten.\nAnswer: -1910","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 4*x**2. Let s(o) be the third derivative of -o**5\/6 - o**4\/24 - 18*o**2 + o. Give s(n(i)).\nAnswer: -160*i**4 - 4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 62*l**2 - 3*l - 3. What is the hundreds digit of x(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + 5*q - 8, -2*f + 2*q = -4*f + 8. Let b be f\/(-21) - 2\/(-7). Let p(n) = n**2 + b*n + 0*n. Let i(t) = 2*t**2. Give i(p(r)).\nAnswer: 2*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the third derivative of a**4\/12 + a**3\/3 + 1196*a**2 + 3. Let s be ((-3)\/2)\/(9\/24). What is y(s)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -4, 1, -3, -5 in decreasing order.\nAnswer: 1, -3, -4, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*f + 7*f = 3*f. Let l(v) = -v**2 + 5*v + 12. Calculate the lowest common multiple of l(f) and 21.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 3*g**2 + 2*g + 2. Let i(q) = -q - 5*q + 2*q**2 + 14*q - 9*q - 3*q**2 - 1. Let b = 10 + -6. Let m = 2 - b. Determine m*i(r) - x(r).\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is o in o**4\/3 + 4*o**3\/3 + 4*o**2\/3 = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 8*m**2 - 59 + 21*m**3 + 6*m + 12*m**4 - m**3 + 65. Let d(g) = g + 1. Let w(o) = 6*d(o) - n(o). Determine l so that w(l) = 0.\nAnswer: -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*y**2 - 651*y + 6210 = 0. Calculate y.\nAnswer: 10, 207","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -5 (b) -0.0274 (c) 1 (d) -1908.6 (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*(i**(-3\/4)\/i)\/i*i)**24\/(i**(-2\/9)\/i**2) assuming i is positive.\nAnswer: i**(-142\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-18))\/((-10)\/5).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 less than 5094658035?\nAnswer: 5094658034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3875 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 13\/1656 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7587*k*y + 1355*k wrt y?\nAnswer: -7587*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/7*(-84)\/72*2. What is the closest to u in -9, -3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*h = 433 - 197 + 336 for h.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1664110 + 200?\nAnswer: 1664310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 5, 1, -13, 10, 2 in increasing order.\nAnswer: -13, 1, 2, 5, 9, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-2)*0 - -3. Let h be ((-1)\/(-5))\/(-12*(-4)\/960). Solve h*z - u = -15 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 3:26 PM?\nAnswer: 4:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - -11521591?\nAnswer: 11521589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 180*w - 1898 - 725 = 257 for w.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 305 + -306. Let l(i) = 3*i**2 + 17*i + 5. Let s be l(-5). What is the second biggest value in 3, 5\/7, u, s?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.036 times 571162?\nAnswer: -20561.832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 8 + 1 - 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 0*j + 4*j**2 + 6*j**2 + 3 + 5*j. Suppose 5*i - 30 = -5*d, -6*i + 5*d = -3*i - 2. Is p(i) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -7, 4\/69, 0.3, 69\/47?\nAnswer: 69\/47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (12\/(-10))\/((-3)\/10). Suppose 0 = 2*i + 4*v - 9*v - 33, -4*v = -o*i + 48. Solve -l - 2*l = -i for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1819627 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 404018 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 0*l = -28. Suppose l - 3 = n. Suppose -z = 8 - 13. Solve 0 = 3*r + r - 5*f - 25, -n*r + 15 = z*f for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 31 - 18. Let t(i) = i**3 - 12*i**2 - 9*i - 7. Is t(j) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m*m**(-3)*m*m**(-3\/2))\/(m**(4\/9))**(24\/7) assuming m is positive.\nAnswer: m**(-85\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 260 is divided by (-1802)\/(-68)*(-3)\/(6\/(-4))?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75766 (base 8) in base 13?\nAnswer: 115a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4 and 12274.9.\nAnswer: 12278.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6367307 and 62?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3a + 1b0?\nAnswer: 20a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*f + 6*f + 40 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 35*m + 3. Let s(q) = -2. What is -4*s(f) - 2*w(f)?\nAnswer: -70*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1222717 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.911973 take away 116?\nAnswer: -135.911973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 37840, 37827, 37814, 37801, 37788, 37775?\n\"Answer: -13*z + 37853","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6750 and 575.\nAnswer: 155250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -781584 greater than -17976446\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (-8)\/(-56) + (-147752)\/(-28) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -45.14 from -2359.\nAnswer: -2313.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -27967*n + 363567. Calculate i(13).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 7711812, 7711895, 7711976, 7712055, 7712132, 7712207?\nAnswer: 7712280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -9*q - 1. Let d(h) = -h. Determine d(m(o)).\nAnswer: 9*o + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of 1\/5*c**5 + 0*c**2 + 2\/3*c**4 + 6*c + 0 + 0*c**3. What is the third derivative of m(h) wrt h?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1 - ((-292)\/117)\/(-2) and 38 + -16 - 605\/50.\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7167842.6 rounded to the nearest one thousand?\nAnswer: 7168000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*x = 87*x + 49*x - 837. What is the highest common divisor of x and 4203?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -308 = -2*o + 22. What is the smallest common multiple of 2880\/o + (-6)\/(-11) and 316?\nAnswer: 2844","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**2 + 4*p + 17. Let c be b(6). Solve -c - 1 = 2*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 497 and 33441?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25304?\nAnswer: 2, 3163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -7*u - 46. Let f(v) = -13873*v. Determine f(n(d)).\nAnswer: 97111*d + 638158","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - 4 + 72. Let k = x + 43. Suppose 40 = k*h - 58*h. What is the remainder when 38 is divided by h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84) - 4*sqrt(84)*2 - sqrt(84))\/(sqrt(192)*-4))**2*2.\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*f**2*l**4 + f**2*l + f**2 - f - 11998*l**4 - 89*l wrt l?\nAnswer: -48*f**2*l**2 - 143976*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -6023*o**3 + 4*o**2 - 44. Let h(s) = -96369*s**3 + 65*s**2 - 715. What is 4*h(v) - 65*y(v)?\nAnswer: 6019*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of -5*f**4\/24 + 41*f**3\/3 + 5*f**2. Let r be m(16). Let x(b) = 2 - 2*b + b + 2*b**3 - 2*b**2 - 4. Determine x(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -3*i**2 + 101*i. Let v(f) = 37995*f. Calculate l(v(y)).\nAnswer: -4330860075*y**2 + 3837495*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 360 and 648?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 30 divided by 9129\nAnswer: 10\/3043","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*u**4 - 3*u**4 + 0*u**4)*(306*u - 3 - 351*u + 4)*(2 - 7 + 4).\nAnswer: 90*u**5 - 2*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1 - -2) + -2)\/((-12)\/(-60)). Let c(l) = -27*l - 18. What are the prime factors of c(k)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -199981\/35 + 28573\/5. Factor -9\/7 - 24\/7*j**2 + 26\/7*j + 1\/7*j**4 + s*j**3.\nAnswer: (j - 1)**3*(j + 9)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a week in minutes?\nAnswer: 2016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 5, -5982, 14, -3 in decreasing order.\nAnswer: 14, 12, 5, -3, -5982","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86*r**2 - 31*r**2 - 36*r**2.\nAnswer: 19*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -261 - 259 + 948 + 260 = -16*c for c.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17713 or -17712?\nAnswer: -17713","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 655, 634, 593, 526, 427, 290?\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2911*q + 5*q**3 - q**3 - 23*q**3 - 2911*q.\nAnswer: -19*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1449 = 2*i - 715. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 529263.\nAnswer: 3, 7, 31, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5099278 a multiple of 410?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18470573 to the nearest integer?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -24 - 58 + 60 - 60*k wrt k?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaydfayfyffdfya. Give prob of sequence dayy.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1571251.\nAnswer: 11, 142841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 430.645 and -87?\nAnswer: -37466.115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -20*j - 22. What is f(-2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 - 120*c**3 - 182*c**3 - 49*c**2 + 301*c**3 + c in the form m + h*c + f*c**2 + q*c**3 and give f.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) - 6*((sqrt(77) - sqrt(77)*1) + sqrt(77) + sqrt(77)) - sqrt(77))\/sqrt(11).\nAnswer: -12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 6, t: 4, e: 3}. What is prob of picking 3 t?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 12 * -22\nAnswer: -264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -51\/70 != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -8, 3, -5, 2, 108 in increasing order.\nAnswer: -8, -5, 0, 2, 3, 108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 246.447l in millilitres?\nAnswer: 246447","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/80 and 91\/99833420?\nAnswer: 399333680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) -5 (c) 1 (d) -221 (e) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*b - 38*b + 18*b)*(0*b**2 + 0*b**2 - 2*b**3) + 2*b**2 - 2*b**2 - b**4 + (3*b**2 - b**3 - 3*b**2)*(3*b + 0*b - 5*b) + 5*b**4 + 6*b**4 - 3*b**4.\nAnswer: 13*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 13 = f - 2, 4*i - 13 = -f. Let n be -3 - 1*((-133)\/11 - -8). Which is the closest to n? (a) 0.3 (b) 2\/11 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12110231123 (base 4) to base 3.\nAnswer: 10010012220222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -2*p. Let l(y) = -10*y. Let s(q) = -90*q. Let n(o) = l(o) - 30*s(o). What is n(b(a))?\nAnswer: -5380*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 8. Suppose -2*k + 0*i + 5*i + 18 = 0, x*i + 11 = k. What are the prime factors of k\/(-1 - 34\/(-36))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 96436 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 4*m**4 - 1980*m**3 + 3944*m**2 = 0?\nAnswer: 0, 2, 493","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 > 14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*o**2\/3 - 14*o + 108 = 0. What is o?\nAnswer: -27, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.91 - -0.09. What is the nearest to 0 in 3, -0.2, l?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 + 6*o**2 - 3*o - 7. Let f = 15 - 10. Let t be b(f). Is (t - (-17 + 2)) + 1 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 397?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -6581*f - 33119. What is g(-5)?\nAnswer: -214","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*x**2 + 7*x**2 - 8*x**2 + (3*x - 2*x + 0*x)*(2*x + 0*x - x).\nAnswer: -5*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -13*b - 35. Let w(u) = 6*u + 18. Let z(l) = 4*k(l) + 7*w(l). Differentiate z(t) with respect to t.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25912 to the power of 1\/3, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36338 and 50418.\nAnswer: 916044642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence py when two letters picked without replacement from {j: 8, p: 1, y: 2, o: 4}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2*l**2 - 6*l + 11. Let u(p) = p**2 + 3*p - 5. Let f(d) = -6*r(d) - 13*u(d). Let n(k) = -3*k + 11. Let y be n(5). What is f(y)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q. Let p(s) = 3*s + 3*s - 4*s + 1 - 6*s. Let z(n) = p(n) - 2*y(n). Differentiate z(v) with respect to v.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - t + 8, -5*c = -4*t + 5*t - 9. Let r = -220 + 224. Solve -x - c = -r for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 351242342 + -25?\nAnswer: 351242314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-11)\/44*0 + 11\/1?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2644*h*n*r - 6961*h*n + 5*n*r - 11496513*r wrt h?\nAnswer: -2644*n*r - 6961*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4848025 a multiple of 293?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.122 + 0.238. Which is smaller: s or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/273532 and -55\/224?\nAnswer: 2188256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -143 - -148. Let w be ((-15)\/(-6))\/((-78)\/(-24) - 3). Solve -4*p + w = -i*y, -p = -0*p - 5*y + 5 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/3 or 166.5329?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-4)\/d*d**12\/d*(d*d**(-1\/2)\/d)**44 assuming d is positive.\nAnswer: d**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 75 - 71. Let l be -123 - -121 - (-10)\/2. What is the closest to l in m, 15\/7, 5?\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3144 is divided by 29?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 7628.744 to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 213, 920, 2123, 3828, 6041?\n\"Answer: v**3 + 242*v**2 - 26*v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/119)*g**(2\/77))\/(g**27)**(2\/15) assuming g is positive.\nAnswer: g**(-3326\/935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 8*u + 27. Suppose -1 = -3*r + 4*t, r + 2*t + 3 = -10. Give a(r).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3215570389 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 126 + -6534464?\nAnswer: -6534338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1324*s - 49456 = -1500*s. Solve -69*n + s + 133 = 0 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24182 + -24173. Suppose 2*p = 5*l + 15, 7*p + 2*l = 2*p + 52. What is the remainder when p is divided by g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/125*-15 + 4\/10?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 4:05 AM?\nAnswer: 2:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-9)\/(-12) - (-2921)\/4. Let l = w + -5863\/8. What is the common denominator of l and 51\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000003584 rounded to 6 decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.4 or -475.85228?\nAnswer: -475.85228","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3197.83 + -3374.3. Round q to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -70.016 - -0.016. Let y = -69.99898 - r. What is y rounded to four decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6517143?\nAnswer: 3, 37, 19571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -449, -1771, -3969, -7037, -10969, -15759?\n\"Answer: l**3 - 444*l**2 + 3*l - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzz when three letters picked without replacement from {z: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + s = 12. Suppose s*t - 6 = -3*k - 3, 4*t + 32 = 5*k. Suppose 2 = k*l - 14. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 260 and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 AM and 6:27 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(((-2)\/(-316) + 0)*(355 - 357)).\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.052 less than 1\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 + 1\/2)\/((-3)\/168). Let w = -87 + k. Let g be 4 - (-4)\/(-4) - w. What is the greatest common divisor of 6 and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1474748?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -15 in -10.3, 1, 6, 0?\nAnswer: -10.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -230, -491, -780, -1097, -1442, -1815, -2216?\n\"Answer: -14*w**2 - 219*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*u + 6624 = -198*u for u.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 515*t - 449*t + 656*t + 289*t - 6769 - 2*t**2 wrt t?\nAnswer: -4*t + 1011","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 - 7*z - 6. Suppose 3 = 2*r - 3*r + 3*m, -2*r + 4*m = 2. Let v be (35\/30)\/(3\/6)*r. What is s(v)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 799?\nAnswer: 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.11 and 0.02239.\nAnswer: -0.0024629","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20, -182, -644, -1562, -3092, -5390, -8612, -12914?\nAnswer: -18452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/21 + (-15)\/7. Let p(r) = -r - 2. Let t be p(a). Solve 3*n + 3*u = t, u = -4*n + 1 - 16 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.4 (b) 6\/5 (c) -267 (d) 5 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -736745200, -736745202, -736745204?\nAnswer: -736745206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gsgg when four letters picked without replacement from {d: 1, g: 3, n: 1, s: 1, t: 1}?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.97114121 - 1028?\nAnswer: -1028.97114121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = -2*d + 4. Suppose -j = d*j - 18. What is the units digit of 2\/j + (-285)\/(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-51)\/(-918)*(-1 - 2). What is the smallest value in -34, q, 3?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rhq when three letters picked without replacement from {q: 1, i: 7, r: 1, h: 7, y: 1}?\nAnswer: 7\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.65*-225.\nAnswer: 1046.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 43634 times -2254?\nAnswer: -98351036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -193, -5, 1.3, 46, -2 in increasing order.\nAnswer: -193, -5, -2, 1.3, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -263.2 to the nearest 10.\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 35 + -37.5. Let q = j - -6.5. Which is the nearest to -2\/7? (a) 7 (b) 0.4 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 - (17 + 10 + -1).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.4? (a) 28\/5 (b) 0.3 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 50, 2, 0, 11, 13 in ascending order.\nAnswer: 0, 2, 11, 13, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of u**4\/12 - 7*u**3\/3 + 18*u**2 + 9614*u. Determine p(11).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*o**5 + 9*o**4 - 9*o**4 + o + (3*o**2 - 3*o**2 - o**3)*(-3*o**2 + o**2 + 4*o**2) + (1 - 1 - o**2)*(-o**3 + 4*o - 4*o).\nAnswer: 4*o**5 + o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 50 = -4*a. Is (-52)\/(-5) + a\/(-25) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -11, -3, -2\/3 in descending order.\nAnswer: 2, -2\/3, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1565731834?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 12540815?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f = -3*f + 27. Let h = 39 + -25. Let n = f + h. Is n a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 783\/21 - 4\/14. Suppose -3*i - q - 23 = 0. Let f = -14 - i. Does 4 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-3)*12\/(-8). Which is the nearest to f? (a) 0.2 (b) 1\/8 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -45*d**2 + 16*d**2 + 31*d**2 - 17 + 8*d**3 to the form x*d + q*d**3 + f*d**2 + w and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and -90.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*d - 2*d + 3*d - 4*d - d.\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 553\/19315 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -486, -500, -514, -528?\n\"Answer: -14*n - 472","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 7, k: 4, g: 7}. What is prob of picking 3 g and 1 k?\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 5 + (3*(sqrt(1377) + (-1 + sqrt(1377) - sqrt(1377))) - sqrt(1377))**2)*4.\nAnswer: -432*sqrt(17) + 22100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 - 1 = 3*y. Let b = -14 - y. Find s such that -8 - 13*s + 5*s + 37*s**2 - 39*s**b = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 196667400*q**5 + 126574*q**2 - 365.\nAnswer: 11800044000*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 + 5*v**2 - 2. Let c be m(5). Let x = -18 - -18. Sort -3, x, c.\nAnswer: -3, c, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3005900 and 1100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23 by -22148.\nAnswer: -23\/22148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1586 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((91\/5187)\/(1\/(-3)))\/(1*3)\nAnswer: -1\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4 + (-39)\/12)*4. Suppose y*k + 11 = -o, -2*o + 22 = 2*k - 7*k. Which is the nearest to -2\/7? (a) -0.2 (b) -1\/4 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 240168423 to the nearest integer?\nAnswer: 15497","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 197076*z**5 - 19*z**2 + 1372.\nAnswer: 11824560*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(27\/12)*36. Is ((-379)\/(-4))\/(12\/u) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -31 - 20032211?\nAnswer: -20032302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -2*j + 15. Let k = 131 - -126. Suppose 0 = -3*z - 35 + k. Calculate the remainder when z is divided by j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(18)*-2 - sqrt(18))*-4)\/(-1*sqrt(1296) + -2*sqrt(27)\/sqrt(3)))**2.\nAnswer: 8\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 PM and 10:46 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*251\nAnswer: 125.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 3*w**2 - 10*w - 9. Let s(o) = -o**2 + 5*o + 4. Let u(t) = -5*s(t) - 2*z(t). Determine u(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -10*y + 8. Let w(a) = -17*a - 1. Determine w(y).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3 + 74949*g**2 + 1421307360*g + 633979883812.\nAnswer: (g + 457)*(g + 37246)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -704 = 176*m, 5*t - 2*m - 2485 = -2312 for t.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 160*h + 1210 - 618 + 1968 for h.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1.4 (b) -2\/215 (c) -5 (d) -82\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -335*i + 16423. Give t(49).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -9*o**2 - 368*o - 56. What is t(-12)?\nAnswer: 3064","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 9*o**2. Suppose 81*j - 120 = 78*j. Let k(s) = -75*s + 36*s + j*s. Determine a(k(r)).\nAnswer: 9*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 - 14*x. Let r be t(10). Let w = -35 - r. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 1 - 3. Let n be ((-5)\/(-10))\/((-3)\/(-30)). Suppose 0 = 2*y + n + t. Let d(p) = p**2 + 5*p + 4. Determine d(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77413 to the power of 1\/2, to the nearest integer?\nAnswer: 278","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 26084573\/17 - 1535171. Let z = g + 784. Let o = 65\/136 + z. Which is smaller: o or 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + sqrt(7) + 1*sqrt(28)\/sqrt(4) - -1*(0 + sqrt(7))) + ((-5*(-1*sqrt(77) - sqrt(77)))\/sqrt(11))**2.\nAnswer: 4*sqrt(7) + 700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -99, -226, -359, -498, -643?\n\"Answer: -3*v**2 - 118*v + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 - 59*f**2 + 695*f - 296. Determine z(43).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(((0 + sqrt(3) - sqrt(3)) + 0)**2 - sqrt(3) - ((sqrt(27))**2 + -5))*1.\nAnswer: -88 - 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 + 8*d**2 + 5*d - 10. Let u be n(-7). Let p be (0\/u)\/(6\/3). Solve m = -p*m - 4 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/2472365 and -57\/196?\nAnswer: 69226220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 262233 is divided by 52.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f. Let m(q) = -2*q + 1. Let c be m(-3). Suppose c*d - 42 = 98. Suppose 0 = 4*s - 4 + d. Determine o(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 + 23 = -r. Let n be -1*4\/(4\/r). Let u(d) = -3*d**2 + 6*d. Let t(k) = -7 + k**2 + 7 - k. Calculate n*u(z) - 6*t(z).\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 + 10*z - 4. Let a be w(-10). Let k be 3 + (-34)\/10 + a\/(-10). Solve 0*h - 4*h - 5*p - 16 = k, -4*h + 5*p = -24 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*x - 21*x - 10*x)*(-5*x**4 + 2*x**4 - x**4) + x - x**5 - x.\nAnswer: 151*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -16 in -1\/2, 4, 13, 0.1, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 19*i**2 - 440*i + 66. What is g(23)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 - x**2 + x + 150. Let k be t(0). Suppose 3*j - k = -0*j. Suppose -20 + j = 5*a. What is the lowest common multiple of a and 26?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 19 + 27*l + 17*l - 37*l + 72. Give f(-13).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 5*g - 16, -4*l - 28 = 2*g - 7*g. Let r(u) = 9*u + 4. Is 20 a factor of r(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(1\/4))**4*(t*t\/(t\/t**0))**(-23)*(t**(-5\/3)\/(t*t*t**(-3)*t))**46 assuming t is positive.\nAnswer: t**(-284\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -2*r**2 - 237*r + 5897. Determine q(21).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 44915.88 years in centuries?\nAnswer: 449.1588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 4*y + 7467 - 4*y - 7467 + 2*y**2. Let a(m) be the first derivative of 0*m + 1 - 2\/3*m**3 + 0*m**2. Calculate a(i(c)).\nAnswer: -8*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - 13. Let a be c\/(-4)*(-2)\/(-1). Suppose -5*d = 0, 0 = -a*u - 0*u - d + 144. Does 13 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f**4 + 0*f + 0*f)*(-1 + 0 + 0)*(1 - 5 + 2)*(-f + 2*f - 2*f).\nAnswer: -6*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 247102 divided by -123551.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 40891 and -4?\nAnswer: -163564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 32*x**2 - 37*x**2 - 2 + 100*x**2 + 266*x**3 - 29*x**2 as m*x**3 + h*x**2 + d + j*x and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mssm when four letters picked without replacement from {m: 5, s: 15}.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 3*v - 4. Factor -v + p**3 - 3*p - p - 3*p**3 - 5*p**2 + 0*p.\nAnswer: -(p + 1)**2*(2*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5655?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 2895\/9*(-2016)\/(-40)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21 - 21. Suppose g = -t - 5*t + 30. Let v(x) = 14*x - 16. Is v(t) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -130906.13 to the nearest ten thousand.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21928 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 688003 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)\/sqrt(3) + (sqrt(192)*2)**2)*5.\nAnswer: 10*sqrt(3) + 3840","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*h + 58*h + 18 = -2*g, 5*h - 2*g = 26 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 2*y + 38 = -0*y, 29 = -4*v + y. What are the prime factors of v\/36 + 436\/18?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(1575) + sqrt(63))*6)\/(-5*sqrt(27)\/((sqrt(48) - sqrt(3)) + sqrt(3))) + 2.\nAnswer: 2 + 432*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 39.73907 kilometers?\nAnswer: 39739070","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -117538 by 1.\nAnswer: -117538","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 6014793, 6014798, 6014805, 6014814?\n\"Answer: c**2 + 2*c + 6014790","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 10*o**3 - 14*o + 5. Let p(h) = 19*h**3 - 26*h + 10. Let a(d) = 7*m(d) - 4*p(d). Let c(s) = -s**3 - 1. Determine 2*a(u) - 10*c(u).\nAnswer: -2*u**3 + 12*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 9709.985 nanograms?\nAnswer: 0.000000000009709985","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 + 6*i - 77. Suppose -4*n - 5 = 79. List the prime factors of c(n).\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 389813 + -5?\nAnswer: 389808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 72877\/41644 - 99\/52?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 - 6*v**2 + 6*v + 2. Let t(h) = -2*h**3 + 14*h**2 + 5. Let o be 172\/24 + 1\/(-6). Let f be t(o). Calculate u(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14138400 rounded to the nearest one hundred thousand?\nAnswer: 14100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b**3 + 2*b**3 - 3*b**4 + (0*b**2 + 5*b**2 - 2*b**2)*(1 + 2*b**2 - 1).\nAnswer: 3*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3882 + -3861. Calculate the smallest common multiple of 207 and b.\nAnswer: 1449","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104*o = 779 + 1219 - 126 for o.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -5, 0.29, 7, -0.1, -3\/4.\nAnswer: -5, -3\/4, -0.1, 0.29, 0.3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 27*f - 131. Let s be w(5). Let h = -17 + 12. Which is the second biggest value? (a) 10 (b) h (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*c**4*p - 11*c**4 - 2*c**2*p + 4*c*p - 14*c - p wrt c?\nAnswer: -60*c**2*p - 132*c**2 - 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -2 (b) 4 (c) 114\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -3*j**2 + 232*j + 2274. Give o(86).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2348*w**3 + 2111.\nAnswer: 7044*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 162.8955 decades in years?\nAnswer: 1628.955","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 581082, 581083, 581084, 581085, 581086, 581087?\n\"Answer: y + 581081","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1011 - 936. Calculate the greatest common factor of 30 and d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*f + 461 - 519 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.57 - 0.17. What is the third biggest value in 0.5, b, -1\/5, -37?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -5*v - 6. Let n(w) = 40*w + 50. Suppose -5*b = 2*b - 350. Let m(j) = b*d(j) + 6*n(j). Let g(f) = -11*f. Determine 5*g(z) - 6*m(z).\nAnswer: 5*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - 2. Let z = 14 + -5. Let r = -10 + z. What is the closest to 0 in r, h, 5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s + 2*r + 6813, -2*s = -0*r - 4*r - 2738. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.282 to one dp.\nAnswer: -5.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 1:55 PM?\nAnswer: 10:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35367 - 34795.\nAnswer: -70162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4633 + -20.\nAnswer: 4613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77 + 4*k**3 - 3*k**3 - 244.\nAnswer: k**3 - 321","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + -5b?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 389948735.\nAnswer: 5, 11, 37, 191621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -66*h - 13*h - 553 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of -2*f**6\/21 - 27*f**5\/35 - 5*f**4\/2 - 29*f**3\/7 - 26*f**2\/7 - 12*f\/7 + 196. Solve a(r) = 0.\nAnswer: -2, -1, -3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(39) + 5*(sqrt(39) - sqrt(624)))\/sqrt(3).\nAnswer: -14*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*t + 9*t + 288. Calculate the highest common factor of t and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80\/700*28\/8?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 + 12*s**2 + 7*s + 10. Is i(-11) a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12*-2*(-2)\/16. Let s(o) = o**2 - o - 2. Give s(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 32 = -4*q, q + 12 = -3*r - 5. Let n(j) = -69*j - 4. Let u be n(q). Suppose 3*b - 277 = -3*m + 5*b, -4*m = 3*b - u. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 698 + -699. What is the closest to 0.2 in 4, 2, r, 0.12?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-37)\/((99\/(-6))\/33)?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/15)\/(2\/(-60)). Calculate the common denominator of ((-1)\/(-32))\/(6\/s) and (555\/(-70))\/3 - (-3 + 0).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-70))\/2*-5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*d - 238 = -170 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9*b**2*n**2 - 76*b**2 + b*n**2 wrt n?\nAnswer: -18*b**2*n + 2*b*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 39*l + 38*l - 78*l + 17 in the form t + w*l and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -5868, -7150, -8442, -9744, -11056?\n\"Answer: -5*n**2 - 1267*n - 4596","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -1 (b) 5 (c) -270 (d) -3 (e) -4 (f) 4\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19694334?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate b*f**2*g + b*f*g + 13*b*g + 16*b + 45*f**2*g - g - 2 with respect to f.\nAnswer: 2*b*f*g + b*g + 90*f*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7859 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o**2 + 117*o - 1408 = 0. What is o?\nAnswer: -128, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36988718?\nAnswer: 2, 13, 47, 30269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.4 - -0.1. Let n = 1 + 1. Let y = n + -2. Put y, z, 5\/4 in increasing order.\nAnswer: y, z, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/13? (a) 7\/5 (b) -1\/777 (c) 3 (d) 2.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.506 + 0.406. Put -0.1, -4, 1\/3, z in decreasing order.\nAnswer: 1\/3, -0.1, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fzfpfflzfpplplf. What is prob of picking 1 f, 1 z, and 2 p?\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 5*d - 317. Let z(j) = -3*j + 159. What is -4*t(u) - 7*z(u)?\nAnswer: u + 155","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence um when two letters picked without replacement from mjjjjxnu?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - -6. Suppose -4 + 4 = -3*x. Find the second derivative of 2*g + x + 0 - 6*g**j + 4*g wrt g.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 93, 192, 309, 450, 621?\nAnswer: 828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 64, -1.4 in increasing order.\nAnswer: -1.4, 0.2, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1259?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/(-4) + -1)\/(-1). Solve -3*c + 3*h - 24 = x, 3*c - 5*h + 7 = -25 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4422 = -f - z - 423, -5*f = -5*z - 20015. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 46216, 92407, 138598, 184789, 230980?\nAnswer: 277171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 565403 is divided by 10873.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 178692.\nAnswer: 2, 3, 14891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 143, 180, 243, 338, 471, 648, 875, 1158?\n\"Answer: u**3 + 7*u**2 + 9*u + 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*f = -17*f - 2*s + 15, -4*f + 5*s = 34 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 136654 to the nearest integer?\nAnswer: 370","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0231 minus 458697?\nAnswer: -458697.0231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1*-1)\/((-8)\/24). Solve -1 = -q*x + 2 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31333986319 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + s = -45, 99 = 8*z - 2*z - 5*s for z.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -247979*w - 734255.\nAnswer: -247979","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 a when two letters picked without replacement from abt?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 30656 divided by 5\nAnswer: 30656\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j\/j**(-12)*j))\/j*j)**(-1\/29))**(-1\/27) assuming j is positive.\nAnswer: j**(-13\/783)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 365*d - 13. Let x be j(-1). Let g = 655 + x. What is g rounded to the nearest 10?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 6*f - 40. Give n(9).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 111 + -126. Let j = 83\/35 - 2182\/315. What is the common denominator of j and -3 - (1\/4)\/(y\/732)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -150, -159, -182, -225, -294?\nAnswer: -395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1606 = -8*x - 3*x. Let h = -140 + x. Solve 6*r + h = 3*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57264731 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-59 + 30 - -23) + 9 + 1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -5, 2\/9, -0.5, -21, 12\/13, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:56 AM and 9:43 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + 3. Let c be -3 - (-2 - -2 - 3). Suppose -5*g + z + 34 = c, 5*g = 4*g - p*z - 6. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y + y - 9*y - 1 + 2*y. Suppose -n = -6*n + 15. Let v(s) = -s + 5. Let o(q) = 4. Let b(f) = 5*o(f) - 4*v(f). What is n*b(h) + 2*g(h)?\nAnswer: 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76*m - m**3 + 76*m.\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -253, -1109, -2535, -4531, -7097?\nAnswer: -10233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2660)\/(-665)*(6\/15)\/(7\/(-5)).\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (57\/5 + -1)\/(856\/14980). Is u less than -1.7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-366)\/9)\/((-3)\/(-9) + -1). Solve -s*f + 8 = -2*l - 59*f, -4 = l + 5*f for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 65\/177 - 2\/59. Let r = -0.5 - 0.5. Which is smaller: o or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 + y + 5. Let n be o(0). Suppose s + x - 12 = 2*x, 0 = -n*s - 3*x + 28. Let r = 17 - s. Calculate the greatest common divisor of r and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -4\/7, 11\/525, -3, 90 in decreasing order.\nAnswer: 90, 0.5, 11\/525, -4\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-4)\/(16\/(-11)))\/((-79)\/(-105544))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -562*x**2 - 7. Let y(u) = 281*u**2 + 4. Give 4*w(k) + 7*y(k).\nAnswer: -281*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 26.09553*0.1\nAnswer: 2.609553","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 276a (base 15) to base 2.\nAnswer: 10000011101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1958914.71 times 0.3?\nAnswer: -587674.413","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*j - 114 = -63. Suppose 4*z + 3*c - 19422 = 15839, j*c = z - 8834. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*s + 8*s = -120. What is the lowest common multiple of 2 and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = f - 3, -11*f - 20*f + 35*f - 6 = 3*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1.3 (b) -2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -81.98 + 84. Let h = -0.02 + m. Suppose 3*n - 10 = 5*i, 2*n - 5 = 4*i + 3. Which is the nearest to 0? (a) 1 (b) n (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 3*k - 7. Let f(i) = -2*i + 3. Give -5*f(g) - 3*t(g).\nAnswer: g + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the third derivative of -y**5\/60 - 3*y**4\/8 + y**3\/6 + 4*y**2. Let s be t(-9). Solve 4*i + s = 17 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-4) + (-57)\/(-4). Suppose -3*x - m = -z, -x - 4*z = -4*x - 29. Let l be (x - 0)*(-3)\/(-9). Which is smaller: -2\/5 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -46, 3\/166, 0.4, 1, 12?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 15133 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: Calculate 2\/(-15)*(24 - 18).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 265.1279ml to litres.\nAnswer: 0.2651279","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*c**2 - 4*c**2 + 20*c**2 - 653*c.\nAnswer: 19*c**2 - 653*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/15 of a minute in milliseconds?\nAnswer: 32000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d\/d**(-1\/5)*d)\/((((d\/(d*d**(-6)*d))\/d)\/d)\/d))\/(d*d\/((d\/d**(-2\/9))\/d))**(1\/4))\/((d**(-1\/3))**(-1\/6))**(-8) assuming d is positive.\nAnswer: d**(6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(7) + 1) + sqrt(175) + 4.\nAnswer: 3 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.34, 0, 812, 5, -3, 226 in ascending order.\nAnswer: -3, -0.34, 0, 5, 226, 812","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*((-12)\/8)\/(105\/(-10)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3*(3 - 26\/6). Suppose -4*o + 10 = -5*w + 2, 10 = 2*o - w. Let p be -1 + 0 + -2 + o. Solve 0 = -p*v - t for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13 + 11131221410?\nAnswer: 11131221423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22 + -19. Put 2\/9, j, -0.05 in ascending order.\nAnswer: -0.05, 2\/9, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**2\/4 + 100161*y\/2 + 1301586.\nAnswer: 3*(y + 26)*(y + 66748)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -5 + (sqrt(1377) + (sqrt(1377) - sqrt(1377)*1)**2 + -5 - (sqrt(1377) + 2*sqrt(1377))*4) + 5.\nAnswer: -99*sqrt(17) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 93 by -3.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*y - 17*y + 67*y**3 + 3*y + 23*y to g*y**3 + i*y**2 + o + w*y and give g.\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - 8. Let w = 1338 - 1298. What is the third biggest value in 3, w, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -4*m**4 - 6544*m**3 - 2419940*m**2 + 4866088*m = 0.\nAnswer: -1069, -569, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 338, 0.4, 1\/8, -2\/7, 1?\nAnswer: 338","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10.9 - 11. Which is the nearest to -0.4? (a) 0.1 (b) m (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-243)\/(-12)*80\/6. Let d be q\/105 - 1*4. Are 0 and d equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55967 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 309 and 6?\nAnswer: 618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 140360 a multiple of 319?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/((-7)\/(-3)))\/(9\/(-645)*-5)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3001 (base 10) to base 13.\nAnswer: 149b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -37*q**2 + 6*q + 28. Let v = -60 + 52. Let m be v*(1 + 3\/(-9))*3. Let t be d(m). What is t rounded to the nearest 1000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -44 in 2\/7, 0.4, -3\/5, 2884?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(180) + sqrt(180)*2 + sqrt(180))\/sqrt(3))\/(sqrt(768) - (sqrt(768) - (sqrt(768) + 1*sqrt(768)))))**2*6 + 4.\nAnswer: 47\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 1 - 886*u - 890*u + 1772*u. Let s(z) = 9*z - 2 - z - 3*z. Suppose -2*i = -3*p + 9, i - 2*p - 13 = 6*i. Calculate i*t(c) - 2*s(c).\nAnswer: 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11134 + 11133. Sort t, 4, -2, 5, -8 in descending order.\nAnswer: 5, 4, t, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 371?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -40323 - 0?\nAnswer: -40323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 AM and 3:12 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 12 and 590.\nAnswer: 7080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6350754*r**3 - 46*r + 657404?\nAnswer: -38104524*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 30 + -10. Suppose -2*a = -d - 10. What is the remainder when 26 is divided by a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24724?\nAnswer: 2, 7, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8113 is divided by 692?\nAnswer: 501","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 22 = 5*g. Let q be g\/(-14) + (-23)\/7. Sort -5, 1, q in decreasing order.\nAnswer: 1, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 3 = 3*z, 5*d + 1 + 1 = 2*z. Suppose f + 10 = -d*f. Is (-5)\/f + 133\/2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -146*a + 145*a + 5 = 0. Suppose -5*f + 89 = h, -2*h + 71 = -a*f - 47. What is the remainder when h is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*t - 7*t = 3 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 399\/4*u**3 - 1089 - 1375*u - 37\/4*u**4 - 707\/4*u**2 + 1\/4*u**5 = 0. Calculate u.\nAnswer: -2, -1, 11, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.2568 - -0.6432. Which is the second smallest value? (a) -5 (b) 4 (c) 0.3 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 80 - 93. Let z = r - -15. Suppose -j - 3*j = 4*q - 2356, z*q + 4*j - 1174 = 0. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-10))\/((-20 - -13)\/(-14)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 440*s - 1106*s = 1263*s + 272*s - 129859 for s.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2528 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1483703 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 32 - (-27 - (-2 - 13))) + (-1 - -9)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 265*m**2 - 265*m**2 + 3*m**3.\nAnswer: 3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*k + 17*k**2 - 2 - 101*k + 20*k**2.\nAnswer: 37*k**2 - 77*k - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 70 - 73 - 2*o**3 + o**3. Let i be ((-1)\/2)\/((-10)\/(-40)). Let a be c(i). Solve -2*n - 1 = a for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4856880 divided by -1239\nAnswer: -3920","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/8*0\/2. Suppose -2 = -n - d. Let s = 0.13 + -0.63. Sort s, n, -0.4 in increasing order.\nAnswer: s, -0.4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -38*d + 14. Let g be -2*1*2\/4. Suppose 2*w + 2*f + 7 = 3, 5*w + f = -22. Sort g, w, d in descending order.\nAnswer: d, g, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d + 5*d + 0*d)*(-5 + 6 - 6).\nAnswer: -5*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6257765771 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2800 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18 + 34. What is the highest common divisor of 16 and s?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 182*i**2 + 31. Let z(r) = -2*r - 5. Calculate z(a(o)).\nAnswer: -364*o**2 - 67","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2325842655 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 2:11 AM?\nAnswer: 2:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 767*p + 519*p + 20*p + 418*p - 225*p in the form t + c*p and give c.\nAnswer: 1499","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/8)\/((-20)\/(-8)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 + -5. What is the second derivative of -x*p**4 + 21*p + p**3 + 11*p**4 - 2*p**4 wrt p?\nAnswer: 72*p**2 + 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 75383 and 180047.\nAnswer: 623","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a decade in months?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5135841 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 5*u + 82 = -g, -4*u + 81 = g. What is the remainder when g is divided by (-250)\/1125 - (-353)\/9?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3288039 to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 156\/26*12\/((-432)\/60)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**2 + 3*n**2 + 3*n + 0*n**2)*(-8*n + 15*n - 4*n)*(5 - 3*n - 4 - 5).\nAnswer: -9*n**4 - 39*n**3 - 36*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -336812, -336821, -336828, -336833?\nAnswer: -336836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6\/4171 - 379777\/150156. What is the common denominator of -23\/84 and v?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 4 - 5, 0 = -5*p - 5*t + 5. Let d be (-2 + 1)*(-5 + p). Is -2 != d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -102, 130, 7, -294 in descending order.\nAnswer: 130, 7, -3, -102, -294","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - 2.8. Let c = p + -1.18. What is c rounded to 1 decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21012210202 - 10110?\nAnswer: 21012200022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + u - 6. Let h(k) be the first derivative of -k**3\/3 + 11*k**2\/2 - 23*k - 52. What is the remainder when h(7) is divided by u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of -p**8\/3920 + p**7\/1260 + p**6\/630 - p**5\/12 + p**2. Let w(x) be the third derivative of o(x). Factor w(a).\nAnswer: -4*(a - 1)*(9*a + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 - 154.39985092\nAnswer: -153.99985092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 18136045943 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 114*g. Let w(m) = -12*m**2. Give u(w(h)).\nAnswer: -1368*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 13) to base 6\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 + 4*w**2 + 2*w - 4. Let f(n) = 3*n - 24. Let i be (-1 + -2)\/((-3)\/9). Let l be f(i). Is 11 a factor of h(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.9375699 rounded to three decimal places?\nAnswer: 1.938","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 34465.74ml?\nAnswer: 34.46574","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3528130644?\nAnswer: 2, 3, 98003629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(68) + -1 - sqrt(68) - sqrt(68)) + 5)**2 - (1*-1*sqrt(119))\/(-2*-2*sqrt(7)).\nAnswer: -420 + 321*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 812 is divided by 125.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 150349519 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, -5, -455, -2, 0.3 in decreasing order.\nAnswer: 0.3, -2\/11, -2, -5, -455","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3575 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 31 = -6*l, -302*l + 297*l = -3*v + 20 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 194 and 24347?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.33 - -0.66. Let c = 4.67 + t. Put 1\/2, -2, -8\/5, c in increasing order.\nAnswer: -2, -8\/5, 1\/2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1233 and -1543 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 55344\/5 - 11264. Let m = t + 196. Factor -m*p - 4*p**2 + 0 - 5*p**3.\nAnswer: -p*(5*p + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/(w*w**(-8\/3)\/w)*w)\/w**8*w**(-15)\/(w*w*w**(-11)) assuming w is positive.\nAnswer: w**(-25\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -3*q**2 + 4*q + 9. Let a be d(3). Let b(y) = y**2 + 12*y + 40. Let c be b(a). Solve -16 = -i - 3*i + 2*g, -c*g = i - 13 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/84)\/(4\/16)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and 55\/189 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*q - 5 = -2*x + 9*q, 0 = -3*x - 2*q + 15. Solve x*c - 37 + 2 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 366561833 to the nearest integer?\nAnswer: 19146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -806 = 4*l - 0*l - 798, 5*p - 14*l = -52 for p.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00096094141 to 7 decimal places.\nAnswer: -0.0009609","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20\/47842353 or 0?\nAnswer: -20\/47842353","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 0*i**2 - 6*i**2 + 4*i**2 - 2*i**2. Let m(l) = 4*l**2 + 8*l. Determine f(m(a)).\nAnswer: -64*a**4 - 256*a**3 - 256*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(3\/4))\/(x*x*(x**3*x)\/x))\/(x\/((x**(-2\/9)*x)\/x))**(-2\/15) assuming x is positive.\nAnswer: x**(-1667\/540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10960 or -10934?\nAnswer: -10960","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 7 + 18 = 0. Solve -b*y + 2*m = -21, -2*m + 3 = -4*y - 7*m for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -412011976394*h**2 + 412011976394*h**2 - 14*h**3.\nAnswer: -14*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 5739*w - 714. Is v(9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of -x**5\/20 + x**4\/6 - 7*x**3\/6 - x**2 + 11677*x. Give s(4).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-42)*-7)\/((-5)\/2).\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 3 + 4 - 4*s**3)*(3*s - 3*s - 4*s) in the form k*s**4 + i*s**2 + l*s + h*s**3 + g and give k.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13256424?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 84047007 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25081.\nAnswer: 7, 3583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -52 + 31?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6063 is divided by 74.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1226?\nAnswer: 2, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 187.6 + -188. Sort -23, m, 2 in increasing order.\nAnswer: -23, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.088 - 0.1168. What is g rounded to three dps?\nAnswer: -0.029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = 12*v - 6*v. What is the tens digit of ((-402)\/(-4))\/(-1)*v\/9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 + 46*v**2 + 7*v - 291. Let w(t) = t**3 - 47*t**2 - 6*t + 289. Let j(a) = -6*k(a) - 7*w(a). Differentiate j(g) with respect to g.\nAnswer: -3*g**2 + 106*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 26 + -17. Suppose f = 2*w - w. Suppose -b + w = 5. Solve 0 = -z - 3 + b for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 161606.\nAnswer: 2, 80803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g. Let v(h) = -2*h + 249382. What is a(v(y))?\nAnswer: 2*y - 249382","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -292 + 532. Suppose -i = 5*p - 0*i - q, p - 34 = -3*i. Let s(d) = -100 + 5*d + 50 + p - 2*d. What is s(7)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 376 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-3\/23)*p*p**(11\/6) assuming p is positive.\nAnswer: p**(373\/138)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 288486 and 93.\nAnswer: 288486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 31 + -14. Is 11 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -101, -116, -145, -194, -269, -376?\nAnswer: -521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + 3*4\/6. Suppose 17 = k - j. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40360*g - r - 21 = 40362*g, 5*r - 64 = 3*g for g.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4123 and 266?\nAnswer: 8246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 807003341 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-46)\/(-15) - 2 - 4\/10.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -789700*i + 1579391*i + 6*i**2 + 34 - 789691*i - 34.\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -m**2 - 10*m + 1 + 25*m - 12*m + 2*m**2 + 5 - 5 + (0*m**2 - m**2 + 3*m**2)*(-1 + 3 - 4) to a*m + o + q*m**2 and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 11\/2 of a meter?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 42*n + 9. Let t(f) = 23*f + 5. Let s(p) = -5*i(p) + 9*t(p). Give s(-5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x - 74. Let o(q) = 3*q - 290. What is 2*o(y) - 9*s(y)?\nAnswer: -3*y + 86","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/(-2))\/(3\/(-36)). Suppose 14 = -2*j + l. Is -7\/2 at most as big as j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((((-2*sqrt(240) - sqrt(240)) + sqrt(240))\/sqrt(12))\/(sqrt(108)\/sqrt(3)) + 0 + (sqrt(720) - (sqrt(720) + sqrt(720)*2)**2))*-2.\nAnswer: -68*sqrt(5)\/3 + 12962","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -128 (base 11) to base 2\nAnswer: -10010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/83 and ((-1)\/((-5)\/2))\/(2184\/(-55510)).\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1103322127 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10890 and 3630?\nAnswer: 10890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8745 is divided by 8644.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (-9 - -17 - 14)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9 and 27810.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -22 + 4. Let q be (o - -7)*(-3)\/(-2). Let b(k) be the first derivative of 2*k**3\/3 + k**2\/2 - 3*k + 4. Give b(q).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -44*x**2 - x + 1. Let i be r(1). Let b = i - -27. Let m = 28 + b. What is the greatest common divisor of m and 88?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 + 45 + -9 + -12?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -10. Suppose -j*d + 4*d = 2. Which is bigger: d or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 77789.76ml?\nAnswer: 77.78976","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 137726 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*g - 97*g + 304*g + 38*g + 308*g.\nAnswer: 528*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*x - x**3 - 2 + 96*x**4 - 3*x - 89*x**4 to k + s*x**4 + r*x + a*x**3 + y*x**2 and give s.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of -2*u**3\/3 + 6*u - 15. Let j be b(2). Let w(y) = -14*y**3 - 4*y**2 + 2*y + 2. What is the tens digit of w(j)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**2 + 21609*y + 43230.\nAnswer: -3*(y - 7205)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - (-1 + 7)) + 7 - (2 - 6)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -190*l + 194*l = 1296. What is the hundreds digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2\/713 - -2099\/14260. Let s(v) be the third derivative of -1\/12*v**4 - v**2 + 0*v + 0*v**3 + 0 - c*v**5. Factor s(o).\nAnswer: -o*(9*o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3349070 divided by 265\nAnswer: -12638","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-13410)\/(-11) + (-4)\/44.\nAnswer: 23, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -5736*o - 1710. Let p(b) = -2865*b - 858. Let n(h) = 9*p(h) - 4*y(h). What is the derivative of n(k) wrt k?\nAnswer: -2841","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/(z\/(z\/z**(1\/5))*z))*z)**(-8\/3)\/(z*z*z**(-1)\/z)**(-46) assuming z is positive.\nAnswer: z**(-88\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 2\/3*h - 2\/3*h**2 + 4\/3 = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -3. Which is the second biggest value? (a) q (b) 1\/4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 3*(4*(5 + -3*sqrt(304)) + (3 + (2*sqrt(304))**2)*6).\nAnswer: -144*sqrt(19) + 22003","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1071 from 0.8652587.\nAnswer: -1070.1347413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 10*h**4 - 340*h**3 - 1825*h**2 - 2635*h - 1140. Let s(a) = 5*a**4 - 169*a**3 - 913*a**2 - 1317*a - 570. Let l(x) = -2*g(x) + 5*s(x). Factor l(m).\nAnswer: 5*(m - 38)*(m + 1)**2*(m + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4882*b + 4879*b = 60 for b.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -7*v**3 - 20*v**2 - 12*v + 282. Let c(g) = 13*g**3 + 37*g**2 + 22*g - 563. Give 6*c(t) + 11*h(t).\nAnswer: t**3 + 2*t**2 - 276","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.121 less than 3.66181?\nAnswer: 24.78281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9427304 and 20.\nAnswer: 47136520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 2 = -8. Let z = -0.022 + 0.172. Let j = 0.25 - z. What is the closest to j in -0.2, w, 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 100 + -39. Calculate the remainder when w is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**2*p*p**(-5)\/p)\/(p**(1\/4)*p*p**(3\/7)) assuming p is positive.\nAnswer: p**(-103\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 41, 172, 503, 1136, 2173, 3716?\nAnswer: 5867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2292, -4592, -6894, -9198?\n\"Answer: -c**2 - 2297*c + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5501 - 5504. Let x = 0.5 - 0. What is the nearest to -9 in 5, o, x?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28479 is divided by 1139?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -176 + 200. What is the first derivative of 221 + 218*j - 40*j + q wrt j?\nAnswer: 178","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 36 = 10*p. Let f(n) = n**3 + 2*n**2 - 3*n - 1. What is f(p)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2757170 divided by 334\nAnswer: 8255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 15*c + 136. Let m(y) = -7*y - 68. Let k(d) = 7*m(d) + 3*t(d). Let x be k(-22). What is the first derivative of x*l**3 + 6 - 6 + 17 + 9 wrt l?\nAnswer: 60*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + a + 32 + 28 = 0, 2*n - a - 116 = 0. Let o = 184 - n. Is 32 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -5 (b) 2 (c) -7 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -130*b**2 - 19*b**2 + 3*b**2 as k + l*b**2 + p*b and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1425 and 84189.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -12*t + 198. Determine i(17).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 PM and 4:19 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2664114 divided by 251?\nAnswer: 10614","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -17 not equal to 3335?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 5092?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7917098ns to seconds.\nAnswer: 0.0000000007917098","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7069590643 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/((-1)\/(1\/2)). Let w(n) = -n**3 - 7*n**2 - 6*n + 6. Let b be w(-6). Suppose 2*p = 4*x - 240, -2*x + 126 = -b*p + s*p. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3456.23666 to the nearest ten.\nAnswer: -3460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 239194?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -3749*j**2 + 4*j + 12178. Let t(c) = -3748*c**2 + 5*c + 12168. Let k(f) = -5*m(f) + 4*t(f). Differentiate k(p) wrt p.\nAnswer: 7506*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*t = 25643 + 44431 + 126738. Is t a multiple of 126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 + 11*r**2 - r + 14. Let d be m(-11). Let f = d + -14. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f and 1 z when four letters picked without replacement from tktxvxxfvzxxxfvfxvxk.\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(720) + -1*sqrt(720))**2 - (sqrt(80)*-1)**2.\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -114, -114, -116, -120, -126, -134, -144?\nAnswer: -156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/5 (b) 0.16 (c) 6 (d) 7 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -0.5 (b) 0 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -5*y + 4*g, 3*y + 2*g + 0*g - 4 = 0. Solve y = 4*u - 18 + 2 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18947?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 42*p**3 - 18*p**3 - 27*p**3 + 1 - 2*p to y + i*p**3 + u*p**2 + t*p and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -2*i**3 + 23*i**2 + 14*i - 21. Give v(12).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12273624?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 4, -0.4, -24, -0.1, -0.3, -7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y + 22 - 2. Let r be (84\/(-8))\/(2\/y). Let b = -149\/7 + r. Which is bigger: 1 or b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -16844 and -201424.\nAnswer: -218268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/3)\/y)**35\/(y\/(y\/y**(-1)*y))**(-25)*(y**(-2\/11)\/y**6)\/(y**(2\/3))**26 assuming y is positive.\nAnswer: y**(-3196\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 27 by 72.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -72 * -14519\nAnswer: 1045368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*n - 515521023*n**3 - 2*n + 515521021*n**3 + 8*n - 2*n.\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.14, -1\/4, -4, 5\/6, -12?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/sqrt(12) + 5.\nAnswer: sqrt(7)\/2 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-45)\/25 - 1*(-7)\/5.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the third derivative of y**4\/24 + 8*y**2. Let r(v) = -v**2 + 4*v + 4. Let m(f) = f**2 - 5*f - 5. Let z(h) = 4*m(h) + 5*r(h). Calculate p(z(n)).\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49967 - 24981 - 24986 - 41*t.\nAnswer: -41*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, n: 1, s: 5, g: 1, u: 1}. Give prob of sequence gsn.\nAnswer: 1\/144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 31*u + 312. Let m be i(-10). What is the second biggest value in 1\/5, -4, 2\/31, m?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6038498982?\nAnswer: 2, 3, 23, 2411, 18149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11.13 + 16.9. Let n = -0.77 + y. Let j = 8\/11 + -100\/77. What is the second smallest value in n, -2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -98 or -99?\nAnswer: -99","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the third derivative of 89*u**6\/120 + 107*u**5\/20 + 222*u**2 + u. Find the third derivative of p(h) wrt h.\nAnswer: 534","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 51 + 39 = -0*s + 5*n - 7, 0 = -5*n for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -247, -254, -261, -268?\n\"Answer: -7*t - 240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of 4*y**2 + 1332. Let p(k) = -115*k**2. Calculate p(q(c)).\nAnswer: -7360*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*h + 618 = 137*h. Solve 3*m + h*d = 0, -2*m + 4*d + 32 = 2 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19409 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 94873\/118800 - 638\/675. Calculate the common denominator of -53\/385 and r.\nAnswer: 6160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.2 minus 767?\nAnswer: -764.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -157, -3, 6373, 2 in descending order.\nAnswer: 6373, 2, -3, -157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 27444 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 641, 646, 653, 662?\nAnswer: 673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 + 9 - 3*n + 7.\nAnswer: -3*n + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((3\/(-6))\/((-50)\/1280))\/((-32)\/(-80))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 7, -13016, 4 in ascending order.\nAnswer: -13016, -2, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/((-7)\/1*6\/21).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 90*w**2 + 579*w**2 - 131*w**2 + 7142 - 364 - 683 wrt w?\nAnswer: 1076*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14827?\nAnswer: 14827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -3*u + 1. Give c(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 + 15*o**2 + o - 18. Give l(15).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108) + sqrt(27) + sqrt(27))**2 + (sqrt(363)*2)**2.\nAnswer: 1884","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 59331280?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -523\/2 + 275. Let t = z + -51\/4. Sort t, -1\/10, 2.\nAnswer: -1\/10, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 11) to base 14\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven eighths of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 8*p + 2*p + 2*p - 2 - 11*p. Calculate k(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -305 * -0.1.\nAnswer: 30.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 239 + (2 + -10 - -4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 48736?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 330597 is divided by 40.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23588 is divided by 11707?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 232 + -381. Let t = i - -300. Is 12 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101 a factor of 15613654?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-53172)\/29540*10\/558\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = 13*k + 147. Is (-28514)\/k - (-36)\/(-84) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -24\/553 + -21473\/27650. Let b = 2501\/130 - 306\/13. Let h = -74\/5 - b. Find the common denominator of j and h.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 277889, 275694, 273509, 271340, 269193, 267074, 264989, 262944?\n\"Answer: s**3 - s**2 - 2199*s + 280088","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -1668142 to the nearest one hundred thousand.\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of 1\/33*v**3 - 24*v + 0 + 1\/110*v**5 + 0*v**2 - 1\/33*v**4. Factor r(z).\nAnswer: 2*z*(z - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4676901 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 - 4*d**2 - 5*d + 7. Let j be (-1 - 0)*(-5 - -3). Suppose -2*r + j = -r. Let q = r + 3. Give v(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28243860*-2.\nAnswer: -56487720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*m - 7 = 3*o - 16*m, 7*m + 13 = -5*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/(-4))\/((637\/52)\/7).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let r = 210 - -15. Let g = -1062 - -1087. What is the greatest common factor of g and r?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 67975 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 PM and 9:56 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3752*b - 2487*b - 28522 - 28525 + 57047)*(3*b - b - b).\nAnswer: -6239*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = a - 17. Suppose -5*k + 95 = -5. Suppose 5*q = h - 24, -h - k = a*q + 4*h. Sort 5, q, -2.\nAnswer: q, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 150 + (-1 - (-3 + 3\/(-3)))?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 0*k**2 - 2\/15*k**4 - 2\/15*k**3 + 0*k.\nAnswer: -2*k**3*(k + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence drq when three letters picked without replacement from {i: 8, d: 1, z: 5, r: 3, q: 3}?\nAnswer: 1\/760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 + 41. Let y = 50.4 - o. What is the nearest to -5 in 0.5, -5, y?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3770 - 12758 = -21*i. Suppose 423*b - i*b = -7685. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 707564 a multiple of 572?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -95 + 119. Is r <= -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 - 2*o**2 - 4*o + 1. What is the lowest common multiple of 77 and w(5)?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3678, 8390, 13102, 17814?\nAnswer: 22526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -516 by -6.\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 + 5*o**2 + 16*o + 264000. Let m be r(0). What is m rounded to the nearest 10000?\nAnswer: 260000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 5*m + 4 = 3, -f + 3*m + 3 = 0. Let d(j) be the first derivative of j**2\/2 - 8*j + 12. Give d(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2 + 0)*(-789*l**3 - 69 + 1301*l**3 - 754*l**3 + 68 - 167*l) to the form t*l + c + n*l**3 + y*l**2 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 - 6*y**2 - 2*y + 26. Let o be f(-4). Suppose 20 - o = 6*x. Let -3\/5*q**2 + 0 + 0*q + 3\/5*q**4 + 0*q**x = 0. What is q?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 237 + 35 - 122 + 94 - 13*g + 70 to x + j*g and give x.\nAnswer: 314","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 271874375 a multiple of 115?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*m + 9. Suppose -2*i + 30 = 3*x, -m*x + 4 = i - 16. Let w = 17 - i. Does 4 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.1145316 and -7906.\nAnswer: -7905.8854684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -743240 divided by -2186?\nAnswer: 340","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -10*q - 216. Determine p(-32).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 225, 391, 511, 585, 613?\nAnswer: 595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 813 = 7*y - 321. Calculate the remainder when y is divided by 28.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18 + 57. Is 19 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4543846?\nAnswer: 2, 2271923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 39 = 0, 31*x + 72283*a = 72280*a + 70 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2520122906.\nAnswer: 2, 7, 11987, 15017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -h - 5*j, -45 = -5*h - 3*j - 12. Let l(r) = h*r**2 - 4*r**2 - r**2. Let x(o) = o**2. Give l(x(f)).\nAnswer: f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5453 - -3241. Let h = 8905\/4 + i. What is the common denominator of h and -5\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 0*s = s - 6, -5*s + 5 = 0. Solve 19 + p = 4*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4060 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 31088 - 31085. Suppose u - 5*g - 10 = 0, 2*g + 10 = 4*u - 3*g. Solve u = -3*a - 4*h - 17, 6 = z*a - h + 13 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14.9 - 10.82.\nAnswer: 4.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -2*g**2 - 213*g + 4046. Determine t(-123).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/4 + 13\/(-6) - -1.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/3)\/(10\/(-115995)*-11). Let r = h - -1451. Does 44 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90640 to the power of 1\/4, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - -5. Suppose -15 = -4*r - f, -f = -5*r + 6 + 6. Suppose 10 + 6 = 4*t. Sort k, t, r in increasing order.\nAnswer: r, t, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000007129 to 6 dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, 5508, -90, 0.3?\nAnswer: -90","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-3)*(-12 - -18).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 - -43. Let j = 24 - p. Let g(f) = f**3 + 8*f**2 - 2*f + 3. What are the prime factors of g(j)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -18*b**2 - 42*b - 3. Let d(r) = -12*r**2 - 25*r - 1. Let q(c) = -8*d(c) + 5*o(c). Calculate q(6).\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -4\/9, -20, -5, -26?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 161551 and 99502.\nAnswer: 559","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 + 13*w**2 - 29*w + 11. Give n(-15).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000003038 to six dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -391\/532 - 2\/133. Which is the smallest value? (a) 1 (b) n (c) 0 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - 111100010111?\nAnswer: -111100011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01 less than -1086692572?\nAnswer: -1086692572.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 100059627?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (28980\/26082)\/(4\/9)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = x - 4*f, 5*f = -4*x - 22 + 27 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m - 1. Let w be h(-6). Suppose 180 = w*y - 0*y. Calculate the greatest common divisor of y and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32329*i**2 - 64667*i**2 + 32330*i**2.\nAnswer: -8*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -37 * -10105.6\nAnswer: 373907.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2843070 divided by -473845.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 + 29*u**2 - 52*u + 2484. Give p(30).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2. Let i(o) = 12*o**2 - 10*o - 9. Calculate 4*h(s) - i(s).\nAnswer: -12*s**2 + 10*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-216)\/270)\/((-2)\/(10\/9)).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 98 - 70. What is the greatest common factor of b and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7016 + 84277\/12. Find the common denominator of -137\/108 and j.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-1 + sqrt(112) + sqrt(112)) + 1)**2.\nAnswer: -96*sqrt(7) + 1801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p = 1169202 - 2864413. Suppose -5*w + y + 242181 = 0, -2*w - 3*w + 3*y = -p. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/672 and ((-6)\/(108\/(-186)) + -10)*(-85)\/32?\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 908 is divided by 219?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1505?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1302841510 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -21881\nAnswer: -4\/21881","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 4*h**2 + 6*h + 4. Let w(l) = -3*l**2 - 5*l - 3. Let r(s) = 5*b(s) + 6*w(s). Let u be r(-2). What is the units digit of u + (2 + -3)*2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qij when three letters picked without replacement from {x: 3, i: 6, j: 2, q: 2, y: 3}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 8*(0 + 1)*((-1422)\/(-36) - 36)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 31588*g**3*i**3 - 2*g**2*i + g*i**3 - 1730*g - i**3 wrt g.\nAnswer: 189528*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 79 times -10?\nAnswer: -790","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14626534?\nAnswer: 2, 13, 79, 7121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*l**2\/8 - 339*l\/2 + 135\/2.\nAnswer: 3*(l - 90)*(5*l - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 116 - 84. What is the hundreds digit of (d\/(-10))\/(2\/(-425))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*r + 68 + 115 - 85)*(2 - 2 + 3*r**2) to the form h + a*r**2 + j*r**3 + f*r and give j.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 - 71*t**2 - 71*t + 9. Calculate the smallest common multiple of 39 and p(72).\nAnswer: 1053","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -129, -150, -193, -264, -369, -514, -705?\n\"Answer: -q**3 - 5*q**2 + q - 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*w**2 - 21*w**2 + 0*w**2 + (-2*w - 3*w + 6*w)*(2 - w - 2) + (w**2 + 0*w**2 - 2*w**2)*(2 + 0 - 6)*(2 + 1 - 5).\nAnswer: -23*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 5:18 AM?\nAnswer: 8:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 36 + (-250 + 133 - -148)?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 97417217 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 4 = -1. Let k = i - 1. Let x be (0 + -6)*4\/8. Is k greater than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(0 + ((sqrt(75) + 0 - sqrt(75)) + -1)*-1 + (sqrt(75)*-1*-1 + (sqrt(75) + (sqrt(75) - (sqrt(75) + 2)))*-5)**2).\nAnswer: -3903 + 1200*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-1\/6)*t\/(t**(-3)*t*t*t*t)*t*t**(-3\/8)*t*t**(-2) assuming t is positive.\nAnswer: t**(-13\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*u**(-2\/15)*u))**(-6\/11))**21 assuming u is positive.\nAnswer: u**(546\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*v + 1056605 = -12*v. List the prime factors of v.\nAnswer: 19211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 - -2. Let m be (-10)\/25 + 18\/w. Which is the second smallest value? (a) m (b) -3\/5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1876 and 3283.\nAnswer: 13132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.14, 0.5, -2\/15, 2, 3\/8, 3\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 9*x**2 + 64*x + 144. Let n(k) = -6*k**2 - 43*k - 96. Let p(h) = 5*a(h) + 8*n(h). Factor p(j).\nAnswer: -3*(j + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of f**4\/28 - 3*f**3\/14 - 6*f**2\/7 + 8*f. Let d(o) = 0. Calculate o.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -n**2\/9 + 360853786*n\/9 - 32553863717633449\/9 = 0.\nAnswer: 180426893","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, -589, 5, 3, -5, -1 in decreasing order.\nAnswer: 5, 3, 1, -1, -3, -5, -589","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -478353, -956695, -1435037?\n\"Answer: -478342*z - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67452 is divided by 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of -d**4\/24 + d**2. Suppose -9 = 5*y + 1. Let u be c(y). Sort -2, 1, u in decreasing order.\nAnswer: u, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 14\/3*8*6\/14. Suppose -28 = -q + g. Calculate the remainder when 119 is divided by q.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 9:54 PM?\nAnswer: 4:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 3*z. Let j(y) be the first derivative of 19*y**3\/3 - y**2 - 956. What is j(g(m))?\nAnswer: 171*m**2 - 6*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5029 divided by -1.\nAnswer: -5029","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 33775 and 36843121?\nAnswer: 1351","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y = 26616626 + 34983374. What is y rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -2*s - 5. Let b = 8 + -13. What is the second smallest value in s, -0.2, b?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 + b**2 - b + 11. Let g be p(3). List the prime factors of (-54)\/((-9)\/((-45)\/g)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -14? (a) 0 (b) -2 (c) -0.1 (d) 2 (e) -0.114\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5944 + -3365. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes before 1:49 PM?\nAnswer: 3:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 3 + -4 + 0 + 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xgye when four letters picked without replacement from kegyxeeeeyexgegg.\nAnswer: 1\/390","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -151, -2\/3, -4, -11, 3\/5, 1\/3, 7?\nAnswer: -151","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 126 divided by 100045\nAnswer: 126\/100045","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b + 25. Let t be w(23). Suppose -12 = -t*h - 4*h. Suppose -k = 4*u - 389, -u = -5*u + h*k + 386. What is the remainder when u is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 41, 3, -3\/7 in increasing order.\nAnswer: -3\/7, 3, 5, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -10465130 < -10465133?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s = -14 + 2. Solve 0 = t - 4 + s for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -480 = -7*s - 3*s. What is the greatest common factor of 24 and s?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-14)\/(-21) + (-236)\/(-6). Let l = a + -41. Sort 11, 5, l.\nAnswer: l, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 185*i**2 - 370*i**2 + 190*i**2. Let w(z) = -216*z**2 - 215*z**2 + 426*z**2. Calculate r(w(s)).\nAnswer: 125*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 - -7. Let f = 611\/1797 + -4\/599. Is f at most as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 275, 286, 299, 314?\nAnswer: 331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -183*m**3*y + 38*m**2*y + 2*m*y - 11*m wrt m.\nAnswer: -1098*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2.354529702 from 3.0736.\nAnswer: 0.719070298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -67, 29, 195, 437, 761, 1173, 1679, 2285?\nAnswer: 2997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + h - 6 = 0, -f - 2*f - 2*h + 14 = 0. Suppose 57 + 23 = f*n. Is 37 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17835973 divided by 4.\nAnswer: 17835973\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from {y: 3, n: 4}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of o**2 - 89339564*o - 148003813 wrt o?\nAnswer: 2*o - 89339564","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - -24. Let n(j) = -c*j + 48*j - 1 - 24*j. Let k(x) = 3 - 7 - 4*x - 2. Determine -k(w) + 3*n(w).\nAnswer: w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddh. What is prob of picking 1 d and 1 h?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrrr when four letters picked without replacement from {r: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 18854, -10, -1, -3, 2 in decreasing order.\nAnswer: 18854, 3, 2, -1, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 120 + 200021?\nAnswer: 200211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29003*-12859.\nAnswer: -372949577","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 93 and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 404517249?\nAnswer: 3, 6131, 7331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -16?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3957868?\nAnswer: 2, 989467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 128810201?\nAnswer: 13, 9908477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 459494 and 644?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**2 - 6*q. Suppose 0 = 4*g - g + 18. Let k be a(g). Suppose k*h - 2 = -2*h. Solve 3 = -4*c - h for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 10b - -6?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 AM and 5:44 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 270 and 251370?\nAnswer: 251370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - t - 2*t = 0, 5*t + 16 = 2*x. Suppose 0 = -x*i - 329 + 1088. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (0 - -4) + (0 - 2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1380 + 1381. Is -18\/101 bigger than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10010 and 59675?\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -10*d**2 + 35*d + 70. Let b(s) = s - 1. Let x(w) = -2*b(w) + c(w). Let m(r) be the first derivative of x(r). What is the derivative of m(t) wrt t?\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 6*n - 175. Suppose n*a - 25 = 30*a. Solve a*x = 4*x - 3 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 576*p**5 - 13680*p**4 + 112476*p**3 - 1051687*p**2\/3 + 753571*p\/3.\nAnswer: p*(p - 1)*(12*p - 91)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/5)\/(47\/(-470)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1280) + sqrt(1280) - sqrt(1280))\/sqrt(10) + ((-5 + sqrt(8)\/sqrt(4))**2 - sqrt(14)\/sqrt(112)).\nAnswer: -105*sqrt(2)\/4 + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -11937226, -23874453, -35811680?\n\"Answer: -11937227*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -14, -3, 1611, 2, -1, 43 in descending order.\nAnswer: 1611, 43, 2, -1, -3, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (7 - (-68)\/(-12))*(-8289)\/(-2).\nAnswer: 2, 3, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 50370954?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -5*j + 234. Is 31 a factor of o(-40)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g**4 + 0*g**4 + 3*g**4)*(6 - 8 + 7).\nAnswer: -5*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 108987 to the nearest integer?\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2 + 7556*d + 1424234. What is z(-184)?\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 984219 and 84664?\nAnswer: 7873752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9.436 + 45784.1.\nAnswer: 45774.664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1492*3.\nAnswer: -4476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2877688?\nAnswer: 2, 11, 53, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -6\/11 (b) 2\/5 (c) -0.6 (d) -0.1 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -7*w**2 - 7*w + 22. Let l(f) = -13*f**2 - 13*f + 43. Calculate -11*a(s) + 6*l(s).\nAnswer: -s**2 - s + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 32*((-140)\/(-16) + -8)\/(6\/28). Calculate the highest common factor of k and 20496.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 270719 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 10 + -11 + 1 + -2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -20, -51, -96, -149, -204, -255, -296?\n\"Answer: r**3 - 13*r**2 + r - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7029214.\nAnswer: 2, 23, 152809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 100 - ((-3 - 8 - 14) + 19)?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 + -6. Suppose 4*p - p + q = 32, 0 = -2*p + f*q + 27. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12a6937 (base 11) to base 2\nAnswer: -1000100101000111100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12875260*g**3*q**3 + g**3 + g**2*q**2 + 4455332*q**2 wrt q?\nAnswer: 77251560*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -754, -109, 3258, 10709, 23606?\n\"Answer: 227*x**3 - x**2 - 941*x - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9617 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 32*q**3 - 2 + 1 - 34*q**3 + q**2 to the form z*q**2 + p*q + b + n*q**3 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 4 = 21. Solve 3*q = -4*s - 16, 20 = -k*s + q + 3*q for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -107 - ((-4 - -52) + -59)?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2972517730 and 910.\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -578*w = -2400 - 1068 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1000170499 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11483 + 11484. Let i(j) = -28*j - 2. Let r be i(-4). Let g be (-5)\/(r\/(-24)) - 1. Which is the second biggest value? (a) -5 (b) x (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 + 1770*f - 228808. What is m(121)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1300*j*x**2 + 408*j*x + 1004648*j wrt x?\nAnswer: -2600*j*x + 408*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34463 is divided by 52.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34 is divided by 32?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/104 and 83\/1560.\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -19640\/7?\nAnswer: -19640\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6607757?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 140116, 560461, 1261040, 2241853, 3502900, 5044181, 6865696?\n\"Answer: 140117*y**2 - 6*y + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*n - 129 = -72*n + 4*r, 77 = 3*n - 2*r. Solve -4*y + 2*c - 16 = 0, -4*y + 4*c + 9 - n = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*g = 15*g + 15, -3128 = -4*j - 4*g. List the prime factors of j.\nAnswer: 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y + 46. Let v be h(23). Suppose 3*j - 114 = -v. Let q(p) = 6*p**2 - p. What is the remainder when j is divided by q(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -45, -0.2, -1\/3, 0.4, -2\/9?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2051677 divided by 1577?\nAnswer: 1301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 11013, 10874, 10735, 10596, 10457, 10318?\n\"Answer: -139*u + 11152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 584*k + 1628 = 24988 for k.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77)*-2)\/sqrt(7) + 2)**2.\nAnswer: -8*sqrt(11) + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 29 + -48. Let h = i + 24. Suppose -2*q + 23 = -h. What are the prime factors of q?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 2*j = 3905, 20*j - 3885 = -5*h + 22*j. What is the remainder when h is divided by 385?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16465872 and 13035482?\nAnswer: 312851568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((19\/(-6))\/(-19))\/(10\/((-500)\/(-5)))?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:15 PM and 6:15 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 3 - (-1 + 4 + 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - 2)*1\/(-3). Let f = -29 + 29.2. Which is the nearest to z? (a) -3\/2 (b) 0.1 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = 2*r + 34, 2*r - 33693*g = -33688*g + 2 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 26699651 to the power of 1\/3, to the nearest integer?\nAnswer: 299","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 3 - 1)*(-2*k - k + 0*k).\nAnswer: -18*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4 - 3)\/((-1)\/((15\/(-1))\/3)). Solve c*l - 4*o - 3 = 34, 4*o + 12 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 196895?\nAnswer: 5, 53, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -401*f - 70 = -408*f. Let h(i) = i**2 - i - 4. Let y be h(3). What is the lowest common multiple of ((-5)\/10)\/(y\/(-24)) and f?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 2*m**2\/7 + 3320624*m\/7 + 63091134\/7 = 0.\nAnswer: -1660293, -19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, c: 4}. Give prob of picking 3 b.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 15*1*48\/30. Suppose 3*o - 3*f = 2*o + w, 5*f + 16 = -o. Let p = 14 - o. What are the prime factors of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3241617 and -14?\nAnswer: 45382638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -75 + 288. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 49 - 45. Let m be (2*(-6 - -3))\/(w\/(-2)). Solve -m = o + 1 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 200*w + 200. What is b(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.037589 + 41.791911. Let p = f + 0.1205. What is p rounded to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a kilometer in meters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 225 a factor of 523575?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1159229 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/2? (a) 0.3 (b) -5 (c) 9\/4 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21 - 17. Solve 7 = -q*a + 27 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66) - (sqrt(66)*2 - sqrt(66))*-1)\/((2*sqrt(66))\/sqrt(6)))\/((-2*sqrt(384))\/(sqrt(2) + (-2*sqrt(18) - sqrt(2)) + sqrt(2))).\nAnswer: 5*sqrt(2)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 13133900 rounded to the nearest 10000?\nAnswer: 13130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -109*y - 3016. Let a(h) = -24*h - 754. Give 9*a(v) - 2*o(v).\nAnswer: 2*v - 754","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6*(-6)\/(-9))\/2. Let o be (18\/(-5))\/((-3)\/10). Suppose -o = m + 5*r, 0 = h*m + r + 2*r + 3. Solve -a + 2 = m for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 + 142. Let c = g + -57. Suppose -3*z + c = z. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27 (base 14) to base 16.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 42\/(-4)*(-13 - (-783230)\/(-30)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1043 and -105784 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + 1515?\nAnswer: 1512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00784 to three decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -48, -5, 6 in descending order.\nAnswer: 6, -5, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6200?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -203 (b) 6 (c) 1\/240\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 341 is divided by 79?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1049863 (b) 0 (c) -0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2921951 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, j: 8}. Give prob of sequence jljl.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10577 and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in fifteen quarters of a meter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2\/21 (b) 0.12 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.22 * -442\nAnswer: 97.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 324 + -5?\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1\/3*138\/(-23)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-3)\/(-6))\/(6 + -5). Suppose 0*l = 2*l. Factor 0*t - h*t**2 + l.\nAnswer: -t**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 82896, 5, -5, 3.\nAnswer: -5, 3, 5, 82896","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (3\/3)\/(1\/(-5))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 172 - 171. Solve 4*u = -t + 17 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.524 + 12.776. Let u = n + -13.3000943. Round u to six decimal places.\nAnswer: -0.000094","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 9\/1523?\nAnswer: 9\/1523","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-3)\/x*x)**(-4\/9)*(x*x\/(x\/x**1)*x*x)**(-23))**(1\/2) assuming x is positive.\nAnswer: x**(-136\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 AM and 10:41 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of -c**6\/3 + 2*c**5 - 2*c**4 - 32*c**3\/3 + 32*c**2 - 32*c - 390. Factor h(t).\nAnswer: -2*(t - 2)**3*(t - 1)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00035211 to 4 dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -5361.4006 rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 69475.36ml to litres.\nAnswer: 69.47536","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -9*y - 4. Suppose -3*s = 2*s - 20. Let w be (-2)\/(-4)*s + -6. Is 16 a factor of a(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4292735 and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/21*43435\/(-1095)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a microgram in nanograms?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3701?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3606 or -3569?\nAnswer: -3606","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/(0 - (3 - 1)). Suppose b - u - 2*u + 7 = 0, 13 = 2*b + w*u. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1391113 is divided by 522?\nAnswer: 505","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrrr when four letters picked without replacement from {r: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 - (4 - 8) - -11. Suppose a = 5*j - 3. Solve 2*c + j*c = -15 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 15 = -2*b + 2*a, 0 = b - a. Let k be 5 + 1 + (2 - 3). Suppose -5*t - 2*f = -k, 5*f = t + t - 2. Calculate the smallest common multiple of b and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*a - 24*a = -9, -5*z + a + 397 = 0. Solve z = w + 74 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5567 + (-14)\/(126\/45)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32948 - 10907 - 3*d**2 - 11027 - 11014.\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a week in minutes?\nAnswer: 26880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3174237g in kilograms?\nAnswer: 0.0003174237","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8261 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/(-14)*4\/(-26))\/3?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuu when three letters picked without replacement from {m: 7, u: 6}?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in three fifths of a milligram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 14719.98 millilitres?\nAnswer: 14.71998","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 equal to 0.16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*r = -800*v + 798*v + 17*r, 3*v = 15*r for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 72 - 27 + o**2 - 20 + 2 - 57*o wrt o.\nAnswer: 2*o - 57","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -0.4 (c) -13\/2 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -210 = 2*n - 4*p - 254, 31*n = -p + 556 for n.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v - 4. Let x be c(-5). Suppose 3*k + 2 + 11 = -f, 0 = k + 4. Let h be (f + 124\/20)*5. Solve -5*a + h - x = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5902 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*y + 4*y + 0*y - 4 + 4 - 5*y + 3*y - 5*y - 5*y - y + 2*y + y - 2 + 2 + 2*y + (-1 - 2 + 2)*(3 - 3 - 2*y) + 4 + 2*y - 4 - y + y - 2*y.\nAnswer: -5*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/6 and ((-10)\/45*66)\/((-7)\/(-3)).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68568604?\nAnswer: 2, 13, 67, 19681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3bd157 (base 14) to base 12.\nAnswer: -83b0a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2614145 and 21.32.\nAnswer: -2614123.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-2)\/10 + (-2093)\/(-65) is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(11) - sqrt(44)) - (sqrt(11) + ((sqrt(704) - sqrt(704)*1) + sqrt(704) - sqrt(704)) - sqrt(11))) + (sqrt(66)*-1*6)\/sqrt(6))**2.\nAnswer: 1331","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 70\/(-21)*(-3)\/2. Find the third derivative of 3*p**2 - 7*p**2 + 7*p**2 + 2*p**d wrt p.\nAnswer: 120*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 353\/3 - 118. Which is the third biggest value? (a) x (b) -1\/6 (c) -0.15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -2*c**2 - 102*c + 18. Let i(y) = 17*y - 3. Let l(w) = 12*i(w) + 2*t(w). Let x(k) = 355*k. Give x(l(r)).\nAnswer: -1420*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/(-2)*(-48)\/18. Suppose -s*c = y - 189, 3*c - 98 = 2*y + 41. Calculate the remainder when 281 is divided by c.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21 - -21. Let i = 131 + -79. Suppose p*f - i = -f. Is f a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2823, 3133, 3443?\nAnswer: 3753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 13 - (1 + (7 - 5)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of -2*f**3\/3 - f. Let k(l) be the second derivative of 0*l**2 + 0 - 5*l - 1\/4*l**4 + 0*l**3. Give y(k(v)).\nAnswer: 12*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2330 divided by 3?\nAnswer: 2330\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + -5242?\nAnswer: -5241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 AM and 11:37 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.1, -129, 0.5, -0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dwzwfwmwmfmzdfh. What is prob of sequence wm?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 42\/(-5) - 4\/(-10). Let g(m) = -8*m**2 - 44*m - 142. Let s be g(-3). Find the common denominator of -31\/10 and (s\/30)\/(y\/10).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 39*r = -207, -2216964*r = 2*b - 2216967*r - 9 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 AM and 12:29 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, t: 3, u: 1, a: 1, s: 5}. What is prob of sequence sss?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -2*h**2 - 24*h + 32. Let j be q(-12). Suppose -52 - j = -6*m. What is the remainder when 67 is divided by m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**2\/3 + 40352*u\/3 - 22272000.\nAnswer: -4*(u - 8000)*(u - 2088)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.5 (b) 5 (c) -2 (d) -2.16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112002002 (base 3) to base 15.\nAnswer: 3092","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4630000 rounded to the nearest one hundred thousand?\nAnswer: -4600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*t + 3*t - 3*t)*((t + 2*t + 3*t)*(0*t + 2*t - 4*t) - 5*t**2 + 4*t**2 - t**2) as i + k*t**2 + w*t + f*t**3 and give f.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 48*p - 623. Let j(r) = 109*r - 1249. What is -9*h(k) + 4*j(k)?\nAnswer: 4*k + 611","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 7 = -2*o, -4*o = -4*d - 9 - 3. Let t be 1\/o + 45\/12. Suppose -t*l + 117 = -l. Is l a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**(-1\/8)*w)\/w**(8\/7))\/(w*w**(-2\/5))**(-6))**(-28) assuming w is positive.\nAnswer: w**(-1213\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23 - -38. Let r be 6\/(-9)*h\/(-2). Let q = -3 + r. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1655, 1.9, 0.07, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 - 4*l**2 + 5*l. Give u(-6).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q**4 + 4776*q**3 + 1418247*q**2 - 405175146*q + 804639048 = 0. Calculate q.\nAnswer: -883, 2, 172","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ten ninths of a day in minutes?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(11) + 3) + sqrt(11) + (-2*sqrt(11) - sqrt(11) - sqrt(11))*3 - (-1 + sqrt(22)\/(sqrt(18)*1 - sqrt(2))))**2.\nAnswer: -209*sqrt(11) + 2775\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 2*p**3 - 344*p**2 - 11*p + 1910. Determine g(172).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53.45577 hours to seconds.\nAnswer: 192440.772","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(7)*-2)**2 + ((sqrt(168)\/sqrt(4))\/sqrt(6) + sqrt(7))**2 - (0 + (sqrt(700)*2)**2)*-5.\nAnswer: 14056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*h - h. Let o(v) = h*v + 0*v + v. Let z(j) be the second derivative of j**4\/6 - 33*j. What is z(o(t))?\nAnswer: 128*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 28 = -3. Let i(a) = 2*a**3 - 8*a**2 + 5*a - 10. Let n be i(k). Suppose -p + b + n = 0, -2*p + b - 29 + 158 = 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: Evaluate ((1785\/30)\/17)\/((-15)\/10).\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v\/(v*v*v\/v**(-40)*v))\/v)\/((v*v**(-1\/29)\/v)\/v))**2 assuming v is positive.\nAnswer: v**(-2434\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -3*l. Let q be j(-4). Suppose -m - q = -2*m. Suppose 4*u + m = -2*p, 5*u + 0*u = -25. Solve 19 - p = 4*b + v, 4*b = 3*v + 35 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 258777 is divided by 85741.\nAnswer: 1554","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-33)\/(-34 + 71 + -38).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-40 - 43 + 72)*(-k - 7*k + 5*k) + ((2 - 2 - 1)*(-2 - 2 + 5) - 1 - 4 + 4)*(3*k - k + 0*k).\nAnswer: 29*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 + 12. Let r(s) = -s - 6. Let o be r(-7). Let z = -2 + o. Sort p, 4, z.\nAnswer: z, 4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of -p**6\/3 + 6*p**5\/5 - p**4 - 4*p**3\/3 + 3*p**2 - 2*p - 2. Suppose k(y) = 0. Calculate y.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 80 + -29. Is 7 a factor of (-12)\/(-102) - (-555)\/f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 48 - 52.8. Let k = 5 + y. Let m = -0.1 + 0.1. Which is the second biggest value? (a) k (b) m (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5b2 (base 12) in base 5?\nAnswer: -11404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2888 (b) -3\/7 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1251546?\nAnswer: 2, 3, 208591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-1\/6)*g*g)\/(((g**(8\/7)\/g)\/g)\/g))\/(g**(-2\/29)*g*g**(-8)\/g) assuming g is positive.\nAnswer: g**(14323\/1218)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/8)\/(2\/4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 5. Let m be 6\/(-21) + 16\/7. Let i be (-1 - 2) + 4\/m. Sort i, -2, b in ascending order.\nAnswer: -2, i, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a (base 12) to base 9.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3\/176 + -1781\/1232. Let r = 37\/21 + y. Let -r*a**2 + 0 + 1\/3*a = 0. What is a?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113*h + 9*h + 33*h - 21476 = 165*h for h.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 2:21 PM?\nAnswer: 12:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53513516.\nAnswer: 2, 7, 827, 2311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the third derivative of b**5\/60 - 5*b**4\/12 - b**3\/3 - 5*b**2. What is v(10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 2*a = -69, 2*p + 4*a - 21 = p. Do 14 and p have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*y + 58*y + 10 = 0. Let v(q) be the first derivative of -y - 4*q - 3\/2*q**2. Differentiate v(l) wrt l.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -436907, -873812, -1310717, -1747622, -2184527?\n\"Answer: -436905*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4057956817 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cbx when three letters picked without replacement from {x: 1, i: 3, c: 5, b: 3}?\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-35)\/(-320)*-42)\/((-57)\/12 - -4). Let a(r) be the third derivative of -7\/16*r**4 + 0*r + 1\/80*r**5 + i*r**3 + 0 - 12*r**2. Factor a(y).\nAnswer: 3*(y - 7)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 - 8. Let g = -328 + 328. Sort g, -5, d in ascending order.\nAnswer: -5, d, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 463.699 rounded to the nearest ten?\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + 44716003?\nAnswer: 44716004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -31514, -63029, -94544, -126059?\n\"Answer: -31515*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*(j**(-5)\/j*j)\/j*j*j*j**(-8)*j*((j*j**4*j)\/j)**(1\/53) assuming j is positive.\nAnswer: j**(-525\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.9 + 4.4. Let g = q + -2. Which is the closest to -1\/2? (a) 0 (b) g (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 122, -313\/4, -0.75?\nAnswer: -313\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -4*w - w - 8, 4*i + w + 22 = 0. Let f be (-4)\/6 + 2\/i. Let r be (-4)\/18 + (141\/27 - 5). Does f = r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand n**4 - 3*n**4 - n**4 + (-4 - 2 + 5)*(-10*n**3 - 56 + 56)*(2*n + 0*n - n).\nAnswer: 7*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6862 - -35307. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24123958 and 171.\nAnswer: 217115622","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that b**5\/5 + 24*b**4\/5 + 63*b**3\/5 = 0.\nAnswer: -21, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.752572437 rounded to 4 dps?\nAnswer: -1.7526","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lpez when four letters picked without replacement from {z: 5, p: 5, e: 7, l: 1}.\nAnswer: 35\/14688","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 - 12*u**2 + 12*u + 31. What is the lowest common multiple of 3 and p(16)?\nAnswer: 3741","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 128 + -128. Suppose r - 103 = -5*z + 4*r, 3*z - r = 61. Suppose 2*j + j - 17 = -x, 2*j + 5*x - z = g. Solve 3*p = -5*s + 15, 4*s + 18 + 7 = j*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 5:12 PM?\nAnswer: 12:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*k - 2*k**4 + k**4 + 11*k - 6*k + 8*k + 287*k**2 + 2*k**3 to the form c*k**3 + j*k**2 + f + q*k + y*k**4 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, 3, 1016 in increasing order.\nAnswer: 0, 3, 5, 1016","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -3*f. Let n be b(-1). Let k(t) = t**3 - 3*t**2 + 3. Give k(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 659*c + 1787633 - 1787633 + 430*c.\nAnswer: 1089*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-57)\/1368 - 1\/(-6)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 PM and 11:01 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.861655579 rounded to one dp?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.09 in -22, -8\/11, 4, 2891?\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + t + t = -38, 3*j = -t + 16. Let z = -29734\/3 - -10050. Let s = z + -140. Which is the third biggest value? (a) s (b) 0 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 8 = 16. Let f = 4 + i. Let w(s) = -4*s**f - 7*s**2 + 10*s**2. Let x(r) = 4*r**2. Determine w(x(l)).\nAnswer: -16*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (68*q - 11*q + 41*q)*(4*q**2 + 2*q**2 - 3*q**2) + 2*q**3 + 4*q**3 + 4*q**3.\nAnswer: 304*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1004, 11, 4 in increasing order.\nAnswer: -0.1004, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3814 + -2944434923.3.\nAnswer: -2944431109.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000264758 rounded to six dps?\nAnswer: 0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 38 + 26)*(-w - 2*w + 5*w)*(4 - 4 - w).\nAnswer: -118*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.6 + -2. Let p(f) = -25*f - 104. Let m be p(-4). Let g be 184\/(-144) - 1\/(-18)*m. Which is the nearest to g? (a) 4 (b) z (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6081 = 31*h - 1245. Which is the nearest to 1? (a) 4 (b) h (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2809183 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5343 and 13387777?\nAnswer: 1781","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1233, 1249, 1265, 1281, 1297?\n\"Answer: 16*g + 1217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -46.815 and -911.\nAnswer: 42648.465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -2*x + 4*c, -3*c - 11846 = -2*x - 11848 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13438 is divided by 151.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 712 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 112033203 (base 5) in base 2?\nAnswer: 1111010101000011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 = 5*d - 0*d. Suppose q + 2*q = d. What is the highest common divisor of 66 and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/1 + (3 - 4). Suppose -5*c - k*q = -9, -c + 15 = -0*c + 5*q. Factor -5*i**2 - i**3 + 6*i**2 + c*i**2.\nAnswer: -i**2*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f**4 + 4916*f**3 + 1336472*f**2 - 198657920*f - 56340739200 = 0. Calculate f.\nAnswer: -620, -186, 197","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.7 * 119637.\nAnswer: -83745.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 430 divide 2693152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*k - 4*a - 66 = 35*k, 2*k + a + 15 = 0 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -2 + (sqrt(44)\/sqrt(4) - sqrt(11))**2*-1 - (-5 + 4*(sqrt(132) + sqrt(132)*-2)\/sqrt(12)).\nAnswer: 6 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4669 + -26838. Let t = 12203 - 6034. Let l = t + b. Round l to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ri when two letters picked without replacement from {i: 3, r: 1, w: 2, k: 6}?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*l**2*o**3*r - l**2*o**3*s + 2*l**2*o**2*s - 9090*l**2*s - l*o**3*s + 14*o**3*r*s + 77*r*s wrt r?\nAnswer: 4*l**2*o**3 + 14*o**3*s + 77*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2*181 + 2 + -5. Let d = i + 792. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 103 - 821\/8. Let j(a) be the first derivative of -3\/4*a - 1 + 1\/8*a**6 - 3\/8*a**4 + y*a**2 + 1\/2*a**3 - 3\/20*a**5. Solve j(g) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 515*g - 512*g = 570. Which is smaller: g or 188?\nAnswer: 188","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -0.2, -3, 48 in descending order.\nAnswer: 48, -0.2, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 175 is divided by 164?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 21*k - 230. Let g be d(11). Which is the closest to -2? (a) -2 (b) 0.1 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 661971479?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the second derivative of -188*o**3\/3 - 63*o**2 + 15*o + 16. Find the first derivative of g(q) wrt q.\nAnswer: -376","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 422094\/30*(-1)\/(-14). Let l = 1005 - n. Which is bigger: l or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 0, -u + 47*s = 46*s - 1924. Does 74 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 k when three letters picked without replacement from {q: 4, l: 7, s: 1, x: 3, k: 1}?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10444.179 + -10444. Which is the second smallest value? (a) 0.6 (b) o (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 41 - 5?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d + 210 + 720 = 0. Let y = 467\/3 + d. Which is the smallest value? (a) y (b) 71 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22\/(-28) + -1 - 12\/(-8).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4960373 and 451?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m**2 + 2*m**2 + 0*m**2 + (m**2 - 3*m**2 + m**2)*(-5 + 0 + 4) + (-8*m + 45*m + 40*m)*(-m + 2*m - 3*m).\nAnswer: -152*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r + 59 = -41. Let l be -1 + (r - -5)\/5. Let p = 0.1 - -0.2. What is the third smallest value in l, p, -0.03?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-3 - -3) + -10 + 6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.01073127 - -0.010492. What is p rounded to 6 dps?\nAnswer: -0.000239","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-7)\/((-357)\/(-108)) + 2. Let o be (-12)\/(-9) + (-2)\/6. Let w be 0\/((-2)\/(0 + o)). What is the closest to 0.2 in 0.5, f, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.19 (b) -1\/53 (c) 0.308 (d) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccijdcgcdddcaci. Give prob of picking 1 a, 1 j, 1 i, and 1 c.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25*l - 1 - 4*l**3 - 25*l + 4*l**4 - l**4 to k*l**2 + u*l**3 + p*l**4 + b + x*l and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wfhhxfxwiwxth. What is prob of sequence ww?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 24201 (base 5) to base 2\nAnswer: 11100001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3034030 - 4?\nAnswer: 3034021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from liimmmmmimimooimiil. Give prob of picking 2 i.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 19 + (19 + 8 - 32)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -35047158 less than -927.3018?\nAnswer: 35046230.6982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1346*i**2 - 4026*i**2 + 1323*i**2 + 1350*i**2.\nAnswer: -7*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 202 (base 5) to base 9\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 8723, 17450, 26177, 34904, 43631, 52358?\n\"Answer: 8727*w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 113765?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 218 is divided by 23?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09296754 rounded to 1 dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (456\/1140)\/(1*(-4)\/10)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (11 + -5)\/3 - -6. Suppose -2*k + l = 0, 0 = 2*x + 3*x + 4*k - 101. Solve -w - 2 = -a, 5*w + a + a + x = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1780)\/1424)\/((-10)\/56)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 85481 = 5*g, -l + 28614 + 39754 = 4*g. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (1 + sqrt(396))**2.\nAnswer: 12*sqrt(11) + 394","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -24*f. Let b(o) = 38847790*o**2. Determine r(b(d)).\nAnswer: -932346960*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.21092 and 22.2?\nAnswer: 4.682424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*l - 16*l + 7*l**2)*(l - 5*l + 2*l) - 5*l**3 + 13*l**3 - 5*l**3.\nAnswer: -11*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24487 - 198575 = -6*t. Is 9 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1073.9216869 rounded to the nearest integer?\nAnswer: 1074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.06875 and 73756.\nAnswer: -5070.725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**3)**(-40)\/(j**(-4\/17)\/j**(-6\/13)))**(6\/19) assuming j is positive.\nAnswer: j**(-159420\/4199)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 156*b = 151*b + 55, 0 = -4*h + 54*b - 826 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 167 a factor of 10521?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*h + 10*h + 4*v - 100, -5*h + 98 = -4*v. Is h a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 598 divide 2529084?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17 and 97.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 41202416441 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -12*c. Let h(w) = -w**2 + 4. Let y(j) = -3. Suppose 4*p - 11 = -27. Let s(b) = p*y(b) - 3*h(b). What is s(q(t))?\nAnswer: 432*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*a + 13236 = 333*a - 5736 for a.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of -s**3\/3 + 9*s**2\/2 - 5*s - 64. Give p(6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -46 + 4?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-20)\/(2 - 6) + -47. What is the units digit of ((-2264)\/14)\/(-9 + (-366)\/j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u + 13. Suppose 2*t = 6 - 0, 3*a - 39 = -3*t. Let l be z(a). Differentiate 3*o + 2 + 1 - 2*o - l*o with respect to o.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3*(-20)\/25 + 48\/(-20) + 2. Solve 2*y + o = -5, -v*y + 29*o - 14 = 33*o for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21800 divided by 20.\nAnswer: -1090","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2109 + -1116. Let z = l - 6935\/7. Factor 24\/7*j**2 + 12\/7*j**3 + 0 + z*j + 2\/7*j**4.\nAnswer: 2*j*(j + 2)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -155\/3883 or 0?\nAnswer: -155\/3883","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1\/2)\/r)\/r*r*r**(2\/11)*r)**(1\/9) assuming r is positive.\nAnswer: r**(-7\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 72 or 73?\nAnswer: 72","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5013*g**3 + 15524*g**3 - 4879*g**3 - 5206*g**3 + 423*g**2 + 3*g**4.\nAnswer: 3*g**2*(g + 1)*(g + 141)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -193\/140 + 33\/28. Let m = -21.4 - -21. What is the second smallest value in m, w, 7?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14423440 divided by -5?\nAnswer: 2884688","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2280*b + 21871*b + 19674*b.\nAnswer: 39265*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 157\/201006 and 137\/2674926?\nAnswer: 34774038","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 942 divided by 471\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 48\/(-360) - 6\/(-45). Solve -10*z + 13*z = u for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -8, -0.2, -0.1, 3 in ascending order.\nAnswer: -8, -0.2, -0.1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 55979?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 427*k - 19. Let a be y(3). Is (a\/(-12))\/(11\/(-66)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/((m*m**(-3\/5))\/m))\/(m\/(m\/m**(4\/3))))**(10\/21) assuming m is positive.\nAnswer: m**(38\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 0. Suppose -2*p - 5*o + 371 = 0, 3*o = -4*p + 3*p + 186. Let g be (-10)\/(-2) - p\/39. Which is smaller: a or g?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 40 - 22. Let c = 36 + q. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0903463871 to 4 decimal places.\nAnswer: 0.0903","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -6082*j. Let k(v) = -v. What is b(k(g))?\nAnswer: 6082*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 219*h**2 + 47*h*y**2 - 12*y**2 + 946 wrt h?\nAnswer: 438*h + 47*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -622*w**3 + 13*w**2 - 372*w + 369*w + 3*w**2 - 15*w**2 + 2*w**4 to the form n*w + p + i*w**4 + c*w**3 + l*w**2 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*((0 - 0) + 8). Let u be (9\/(-18))\/(1\/(-20)). Suppose -2*c - o = -3*o - u, 5*c + 3*o = 49. Calculate the highest common divisor of r and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*f = -9*f + 5*k + 13, -4 = 2*k for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p**2 + p**2 + 252*p**3 - 254*p**3.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, -0.5, 10\/126819 in descending order.\nAnswer: 10\/126819, -0.5, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.607812 rounded to one decimal place?\nAnswer: 17.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4\/10)\/((-72)\/60). Sort 20\/9, 2, u, 3.\nAnswer: u, 2, 20\/9, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94*y = 65415 + 165167. What is the greatest common factor of 11 and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1550 + -1055. What are the prime factors of h?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (((3*sqrt(539) - sqrt(539))\/sqrt(11))\/(sqrt(112)*3))**2*-1*3.\nAnswer: 17\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -506 - -824. What are the prime factors of z?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 3*r - r. Let a be (-3)\/(((-8)\/(-34))\/r). Suppose -4*o = -o - a. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2*(-1)\/(3\/(-6)). Let t = 1 - o. What is the units digit of (-4)\/(2*t\/9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 5*l**3 - 4*l**2 + l + 4. Calculate the remainder when x(2) is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 91\/(-21)*6\/(-10) - 2.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4.008 and -2.033.\nAnswer: -8.148264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 2*z = -4, 2*b + 4*z = -3*b - 2. Suppose -7*r + 35 = -b*r. Solve -3*s - 22 = 2*o - 7*s, o + 4*s - r = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -l + 14875. Suppose o + 4*o = l. Suppose 3*n - 442 = -11*c + 6*c, c - o = -4*n. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 145535.\nAnswer: 5, 13, 2239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 3*k - 64*k**2 + 4*k - k.\nAnswer: -64*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 473766, 473764, 473762?\nAnswer: 473760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -8\/5, -72605\/4, -4 in decreasing order.\nAnswer: -8\/5, -4, -72605\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100000010 - 11100010111?\nAnswer: -11000010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 298454?\nAnswer: 2, 13, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 49695828*v**4 - 8053*v**2 + 5*v - 360?\nAnswer: 1192699872*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 1538*l**2 - l - 8. Is o(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -868*z. Let b(s) = 68301*s. What is b(k(m))?\nAnswer: -59285268*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + 11d?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1764 and 154?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = v + 4*o + 3, 0 = 3*v - 2*o - 50. Suppose 0 = -2*p + l + 6, -4*p + 2*l = p - v. Solve 0 = -2*g - 0*g + p for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13333 (base 4) in base 15?\nAnswer: -241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of k**3 + 109*k**2\/2 - 44*k + 168. What are the prime factors of u(-45)?\nAnswer: 2, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1061 divided by -4\nAnswer: 1061\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 6*i - 18. What is the least common multiple of 27 and g(5)?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1a27d + -4?\nAnswer: 1a279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + k - 2957 = 5*w, -2*w - 2 = 0. Is 4 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 2*f = 1 + 3, a = -4*f + 11. Let m(n) = -2*n - 6*n**3 + 3*n + 0*n + 1. Give m(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -1 + -1 - (41 - 42)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ykya when four letters picked without replacement from {e: 3, y: 2, a: 11, k: 3}.\nAnswer: 11\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 + 1 - k**2 - 1 + 2 - k + 0*k. What is b(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 - 24*d - 10 + 46*d + 24*d to p + i*d and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -6*f - 28. Let l be q(-5). Suppose 0 = 8*r + l*r - 460. Calculate the remainder when r is divided by 17.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43 is divided by 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*d**2*f**4 - 16*d**2 - 87051*d*f**4 - 2332*d*f - 10*f wrt f?\nAnswer: 60*d**2*f**2 - 1044612*d*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 - 3*u + 5. Let k be v(3). Let d be 14\/30 - k\/(-25). Which is the second biggest value? (a) -0.4 (b) 3\/4 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 537592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11731 - 23723 + 18*s + 11989.\nAnswer: 18*s - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00037169 to 5 dps.\nAnswer: 0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*v - v + 3*v)*(v + 2*v - 2*v) - 1 + 3*v**2 + 1 - 4*v - 3*v**2 + 4*v in the form k*v + t + x*v**2 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 - 10*x**2 - 14*x + 7. Let c be p(11). Let z be (c + 0)\/(33 - 0). Let k = z - -5\/11. Sort k, 2, -2.\nAnswer: -2, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (7\/(-2))\/(44\/(-8) - -6). Let b(q) be the first derivative of -3*q**2 - 13*q + 3. What is the units digit of b(d)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -576 - -1074. Let h be (-4)\/3*r\/(-4). Let v = -114 - h. What is v rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.294 - 59.169. Let r = l + 59. What is r rounded to 2 dps?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16758738 is divided by 246.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -2 + n**3 - 4 - 2*n**3 + 5*n**2. Let i be q(6). Let s = -22 - i. Calculate the greatest common divisor of s and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1071 divide 37994796?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25 + 22*s**2 - 21 + 45 - s + 2*s**2 + s - s**2 + 0*s**2 - s**2 + (2 + s - 2)*(3*s - 3*s + s) to the form l + k*s**2 + r*s and give k.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 72270 a multiple of 99?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -11 (b) 1 (c) -1.2 (d) 0.3 (e) 14\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 56 and 354788.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**2 - 38*b - 67. Calculate u(-29).\nAnswer: 194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-two ninths of a week in minutes?\nAnswer: 24640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.64 - -1.47. Let y = -0.83 + v. Let r = 49.4 - 49. What is the biggest value in -2\/7, 2\/9, y, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2*u**4 - 3)*(-35 + 3 - 9) + 1 - 1 - 2*u**4 - 2*u**4 + 0*u**3 + 0*u**3 + (-u + 2*u + u)*(-3*u**3 - 2*u**3 + 4*u**3).\nAnswer: -88*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 PM and 6:10 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -16*y - 4. Let w(m) be the second derivative of m**2\/2 + 515*m + 2. What is u(k) + 3*w(k)?\nAnswer: -16*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-20)\/50 - (-23)\/20. Sort m, 2, -40 in increasing order.\nAnswer: -40, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pm when two letters picked without replacement from pfpfzmpzzf.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-51)\/(-85)*(-5)\/1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-2) + 2*(-585)\/(-36). Let a be k\/8 + 2*(-1 + -1). Solve d - 7*d = a for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 315.76038 - 0.02038. Round j to the nearest ten.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11220101001 (base 3) to base 7\nAnswer: 551224","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -84 + -19 + -12 + 12 + 47.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1140*r - 6716*r = 58651 + 342821 for r.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 266?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1321?\nAnswer: 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7\/10 in 0.4, -11\/15, -3\/7, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 4, i: 1, m: 1, l: 9}. What is prob of picking 1 i and 3 x?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25*1.24.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7086.\nAnswer: 2, 3, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 44906593213 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 80 = 348. What are the prime factors of a?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 - 2*z + 2. Let y be r(-3). Let n be -1 - (-1 + y*4). Calculate the highest common factor of 4 and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8489, 8493, 8499, 8507, 8517?\nAnswer: 8529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12? (a) -5 (b) 3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1b21a8 - 18?\nAnswer: 1b2190","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together -236 and 4524.22875.\nAnswer: 4288.22875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 47, -137, 1566, 0.\nAnswer: -137, 0, 47, 1566","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/6)\/(9\/81).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/18 + (-198)\/(-81) + -2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/26 and 20\/130 - 818\/(-260).\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 + 79*q - 235. Give i(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -4*o - 6 + 2*o - o. Let g be w(-6). What is the greatest common divisor of 30 and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 1163*h - 62. What are the prime factors of q(8)?\nAnswer: 2, 4621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 181408 a multiple of 408?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of -k**3\/3 - k + 4. What is the derivative of j(r) wrt r?\nAnswer: -2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2985 + -21?\nAnswer: 2964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/7 (b) -0.13 (c) -19\/5 (d) 12.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 0*k = 5*d - 1, 4*d - 4 = -4*k. Solve -b = -d*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/8*11\/(-2)*(-808)\/(-2222). Factor -x*p**2 - 135\/2*p - 129.\nAnswer: -3*(p + 2)*(p + 43)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 38607, 77269, 115931, 154593, 193255, 231917?\n\"Answer: 38662*o - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - 1 + 11. Suppose -z = 2*m - 5, 0*m - 3*z - t = m. Suppose -6*d + 196 = -m*d. List the prime factors of d.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3397 and 344.\nAnswer: 27176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -46*m + 102. Calculate s(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1814106 is divided by 181410?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -107, -273, -503, -797, -1155, -1577, -2063?\nAnswer: -2613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q + 4. Let g be r(4). Solve g*b + 5 = -b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 436120 to the nearest integer?\nAnswer: 660","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 2*t**2 + 3*t - 4. Let r be j(-4). Suppose 0 = 3*b - b - v - r, -b = -3*v - 18. Suppose -8 = -5*n + 7. Calculate the remainder when b is divided by n.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 45 = p, 0*h - p + 67 = -4*h. Let g be h\/(-6)*(-3)\/(-12)*27. Solve 7*a - a + g = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 437 a factor of 32335653?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**2 - 2*z**2 - 10 - 1)*(-2 + 0 - 1).\nAnswer: 3*z**2 + 33","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 171 - 352 + 209 = -7*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide ((-120)\/75)\/((-4)\/130)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.939617 times 2?\nAnswer: 7.879234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 200 and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 669762594 divided by 8268674\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24 and 236\/16 + (3 - 22\/8)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -0.5 (c) -3 (d) 530 (e) 5\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/15306 and -32\/21?\nAnswer: 107142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 251.28 - 248. What is t rounded to 0 decimal places?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*t\/t**9*t*(t\/t**2*t)\/t*t)\/(t**(2\/7)*t**(2\/11)))**(-2\/95) assuming t is positive.\nAnswer: t**(842\/7315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52.19*-245.62.\nAnswer: 12818.9078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 235 in -1\/5, 0.36, 0.3?\nAnswer: 0.36","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -96574 or -96551?\nAnswer: -96574","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 1\/6 (b) -0.2 (c) -0.3 (d) -21\/23 (e) 2\/217 (f) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**2 + 10*z - 40.\nAnswer: 5*(z - 2)*(z + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 90 - 112. List the prime factors of d.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 861*r**2*w**5 - r**2*w**2 + r**2*w + r*w**2 + 161*r + 46*w**5 wrt w.\nAnswer: 51660*r**2*w**2 + 2760*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 0 + (sqrt(539) + sqrt(539)*-2 + 5 + sqrt(539))*5*-3*-6)**2.\nAnswer: 207025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(2\/9)\/(n\/n**(-1\/2))*n**9*n*(n\/n**(-13)*n)\/n assuming n is positive.\nAnswer: n**(409\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101011100000010100000 - -11000001?\nAnswer: -101011011111111011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -281*j - 807*j - 99948 - 61694 = -47402 for j.\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 100001001011 (base 2) to base 12\nAnswer: 128b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 10:22 AM?\nAnswer: 10:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d - 3*d - 180 = 0. Which is the second biggest value? (a) d (b) -2 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3*-2*(-2)\/4. Let u(w) = -14*w - 55. Let a be u(-4). Suppose -b = x - a. Which is bigger: b or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.37 + 0.23. Let h = -1.5 + i. Sort 2\/7, h, -3 in increasing order.\nAnswer: -3, h, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 49557, 198224, 446001, 792888, 1238885, 1783992, 2428209?\n\"Answer: 49555*c**2 + 2*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + v - 21, -5*l + 6*v - v - 40 = 0. Let m = 46 - 61. Let k = l - m. What is k rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 285310 divided by 515?\nAnswer: 554","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((-3)\/(18\/4)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -92 - 9?\nAnswer: -9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**7)\/c**(1\/7))**(4\/25) assuming c is positive.\nAnswer: c**(-172\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*t - 8*t**2 + 4*t**2 + 8 + 20*t.\nAnswer: -4*t**2 - 15*t + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26, -565, -1156, -1747, -2338?\nAnswer: -2929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 10 = y - 90, 4*y + 161 = 3*l. Suppose -18 = -j + 2*p, -4*j + 72 = -0*p - p. What is the remainder when l is divided by j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000246070433 rounded to six dps?\nAnswer: 0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*o + 18 - 5*o**2 + 4*o**2 + 6*o**3 - 18 as q*o**2 + i*o**3 + v + n*o and give i.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together 319.52 and 287.\nAnswer: 606.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is d - -cb58?\nAnswer: cb67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -1\/6, 0.01, -0.01, 1\/3, 19?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000702952 rounded to seven decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 6 = -0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**3 - 6*l**3 + 14*l**3)*(-95*l + 2 + 52*l + 59*l) + 4*l**4 - 3*l + 3*l.\nAnswer: 148*l**4 + 18*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p**(-1)\/p*p*p)\/(p\/(p\/p**8*p)))\/(p**(-2)\/((p**(2\/9)\/p)\/p)))\/((p\/(p\/(p\/(p\/(p**0*p))*p))*p)**(-1\/10))**16 assuming p is positive.\nAnswer: p**(-44\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (2*(0 + sqrt(300))*-4)**2 + -4.\nAnswer: 19198","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -36919 divided by 4\nAnswer: -36919\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 8*x**2. Let l(f) = f. Let g(b) = b. Let r(k) = -4*g(k) + 2*l(k). Calculate o(r(d)).\nAnswer: 32*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 2 f, and 1 w when four letters picked without replacement from {w: 5, i: 1, h: 2, s: 3, f: 3, x: 1}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 749 is divided by 97 - (-960)\/(-144)*3\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 115 - 45 - (2 + -9 + (19 - -5))?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 111.223836 to the nearest ten.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 137 = 19*s - 965. Let p = 162 - 47. Calculate the remainder when p is divided by s.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -305 - -216. Let z = -89.2 - h. Which is the nearest to 0? (a) -0.1 (b) -11 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 2 = -12. Suppose r*a = -2*d - 2, -3*a + 2*d + 5 = -2*a. What is the nearest to -1\/4 in 5, a, -4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*f**3 - 15*f**3 + 7*f**2 + 5*f**2 + 12*f**2 + 6*f**2 - 30*f**2.\nAnswer: -11*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4*s - 3)*(0 + 0 - 2) + (-2*s + 2*s - 2*s)*(-5 + 1 + 0).\nAnswer: 16*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, f: 2, w: 1, l: 1}. What is prob of sequence wyf?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kzazkzizdz. What is prob of picking 1 d and 1 a?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of -f**4\/24 - f**3\/6 + f. Solve l(b) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a factor of 4203?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (2\/6*-2047077)\/(3\/(-1)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**4 - 6*z**3 + 243*z**2 + 1512*z - 6480.\nAnswer: -(z - 15)*(z - 3)*(z + 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6\/15)\/(1\/10). Suppose -2*y + 5 = p*r - 5, -4*r = 3*y - 15. Which is bigger: 6\/5 or r?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a litre in millilitres?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132 = 11*k + 55. Let n(u) = 10*u + k*u**2 - 5*u**2 - 10*u. Let z(t) = 5*t**2 + 6. Calculate n(z(s)).\nAnswer: 50*s**4 + 120*s**2 + 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the third derivative of -x**6\/180 + x**4\/12 - x**3\/2 + 2*x**2. Let k(c) be the first derivative of y(c). Factor k(r).\nAnswer: -2*(r - 1)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-4\/3)\/y**2*y**(-1)\/(y\/y**(-2)*y))\/((y**(2\/9))**(-6\/13))**(10\/3) assuming y is positive.\nAnswer: y**(-935\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*j + 4 - 2 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 26 = -5*u - 29, -2*a - 33 = 3*u. Suppose 3*p - 3*i = 705, 3*p + 3*i + i = 670. Suppose -18*g - p = 5*g. Which is smaller: u or g?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 2*k**2 - 6*k + 9. Let j be (-8)\/(-2) - (8 + -6). Let r be x(j). Solve 6*t = t + r for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 738006004 to the nearest integer?\nAnswer: 27166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 3598.53 to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 154007?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -y + 5082*y**2 - 5087*y**2 + 19*y**4 + y**3 - 4*y**4 as f*y + a*y**3 + l*y**2 + b*y**4 + s and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dll when three letters picked without replacement from bmbdsldlbsblssbdsd?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -262082*a - 1048327. Determine v(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 876.5 and 0.01.\nAnswer: 8.765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.8 times -0.2?\nAnswer: -2.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -10 - -9 - -23*(0 - 2). Let g = 45 + b. What is the units digit of 1\/g*25\/10*-4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + 13311?\nAnswer: 13305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -789 - -7103\/9. Which is the third smallest value? (a) -4 (b) d (c) -4\/41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -47195\/7 or 0.1?\nAnswer: -47195\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 + 20*o - 149. Let a be l(6). Suppose -4*k - 4*p = -84, 45 = 2*k - 2*p + a*p. What is the greatest common factor of 260 and k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 787873691?\nAnswer: 11, 109, 179, 3671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 - 10*f**2 + 8*f + 12. Let i be d(-11). Suppose 0 = 2*s - 57 - i. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the first derivative of i**4\/24 - i**3\/2 + 3*i**2 - 18. Let f(w) be the second derivative of p(w). Give f(9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bmemmmmwmmwwmwmmeom. Give prob of sequence momm.\nAnswer: 55\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4415.631215 + -0.031215. Round b to the nearest 10.\nAnswer: 4420","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2353716644?\nAnswer: 2, 53, 149, 269, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2745913?\nAnswer: 2745913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 350296.\nAnswer: 2, 43787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 20*p**2 - 8*p - 9*p**2 - 4 + 10. Let r be c(3). Suppose -2*g + 79 = g - s, -3*s - r = -3*g. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -47861, -95727, -143593, -191459?\n\"Answer: -47866*u + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 16) in base 14?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*q - 9 = 14*q. Suppose 2*x = z + q, 2*z - 3*z - 15 = -4*x. Let s(h) = -2*h**3 - 2*h**2 + 2. What is the least common multiple of x and s(-2)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 91.56871l to millilitres.\nAnswer: 91568.71","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000101111110011 (base 2) in base 7?\nAnswer: -206311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 30900*b**2*y**2 + 248*b*y**3 - 709463*y**3 + 6 wrt b.\nAnswer: 61800*b*y**2 + 248*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -2.27, 82?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 19\/7 - 2\/(-7). Suppose z*d + 2*d - 18 = -l, -l + 3 = 0. Does 22 divide ((-4)\/(-10))\/(d\/165)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a decade in years?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - (15 - 17))*630\/(-108)?\nAnswer: 35\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, 174, 117 in decreasing order.\nAnswer: 174, 117, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-20*a - 33*a + 52*a + 21)*(20*a**2 + 21*a**2 + 45*a**2) in the form y + s*a**2 + r*a**3 + w*a and give s.\nAnswer: 1806","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 257.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add 290120923165 and -4.\nAnswer: 290120923161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 41281 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -351677966*t + 396749564?\nAnswer: -351677966","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 2*r**2. Let p be (-1 - 0 - 8) + 3. Let d(b) = 10*b + 13. Let q = 29 - 16. Let z(x) = 5*x + 6. Let g(t) = p*d(t) + q*z(t). Give l(g(u)).\nAnswer: 50*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 + 13*c**2 + 14*c + 36. Let d be -3 + ((-18)\/(-30))\/(2\/(-30)). Let w be y(d). Suppose 0 = -j + 4*j. Solve -4*t + w = -j*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 5*v**2 - 11*v + 2. Suppose 15 = 2*a + 5. Let i be z(a). Calculate the greatest common factor of i and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/4576 and -36\/41965?\nAnswer: 17457440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59715*a + 3274 = 59931*a + 29 - 1939 for a.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of 9*f**2\/2 + 50*f + 369. Suppose 3*l = -5*c - 24, -3*l = -c + 3*c + 24. Let q be n(l). Is -20 at least as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 + 6 = z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49 + -46 - (0 + 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqvq when four letters picked without replacement from vqqqqqqqqqv.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 - 7. Let z be ((-8)\/6)\/((-2)\/42). What is the greatest common factor of z and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 - (1 + 1 - (16 - 7))) + 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 + 23*s - 67. Give v(6).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - 1 - 4) + (-2 - -3) - -13?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -n + 3*j - 6, -28734*n = -28736*n + 3*j - 6 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5326*v = -5306*v - 660 for v.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 4*r - 66 = y, 5*r - 10 = -3*y. Let u(j) = 3*j - 14. What is the tens digit of u(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2253658 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*((-98)\/245)\/((-6)\/(-5)). Let 1\/3*u**4 + 2*u**2 - 4\/3*u + p - 4\/3*u**3 = 0. Calculate u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -55*f**3 + f**2. Let j be k(-1). Let w be (-12 - -15)\/((-3)\/(-14)). Calculate the highest common divisor of j and w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -22178 and -72581962.\nAnswer: -72604140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.208 + -0.208. Let r = -2\/139 - -296\/1251. What is the biggest value in -5\/3, o, r?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 115475 and 100.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -40.5900068 - -40.59. What is f rounded to 7 decimal places?\nAnswer: -0.0000068","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4979 times 1.4?\nAnswer: -6970.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 7 - 2)*(0*h - 2*h + h) + (10 + 6 - 8)*(3*h - h - h)*(-3 + 3 - 1).\nAnswer: -10*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 2\/7 (b) 1 (c) 0.97 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**3\/3 - 1398494*a**2\/3 - 2796970*a - 4195446.\nAnswer: -2*(a + 3)**2*(a + 699241)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 34 = 2*n, 3*n + 38 = -2*s + 2*n. Is (-29071)\/s + 2\/3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*i - 278 = -i + 2*a, 222*a - 217 = -11*i + 225*a for i.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 36 = -0*j. Let c = 9 + j. Let s(a) = a**2 + 7*a + 5. Let h be s(-6). Put 1, c, h in ascending order.\nAnswer: c, h, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 743858*n**2 - 371929*n**2 - 371922*n**2.\nAnswer: 7*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 282698 and 166.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 24\/11 and -5\/166.\nAnswer: 1826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 23684505?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 41.37 - 41.27. Which is the biggest value? (a) -2\/7 (b) -0.4 (c) -7.4 (d) n (e) 4\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.12 and -797.886?\nAnswer: -95.74632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(242) + sqrt(242)*2 + sqrt(242) + 2 - sqrt(242)) + -4)**2*-2.\nAnswer: -4363 + 264*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-304)\/(-1188) + (-32)\/176?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a millimeter in micrometers?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -12830.15212 rounded to 1 dp?\nAnswer: -12830.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + t - 1 = -171, 0 = 3*t + 6. Let s = r + 89. List the prime factors of s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 110, 110, 100, 74, 26?\n\"Answer: -f**3 + f**2 + 4*f + 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n*n**3\/n))\/(n**(4\/13)\/n))\/((n**7*n*n)\/(n**(-2\/3)\/n)))**(-1\/6) assuming n is positive.\nAnswer: n**(467\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + (-4)\/16*0 + -12. Let f = 38 + s. Find the third derivative of -22*d**3 - 36*d**2 + d**3 + f*d**2 wrt d.\nAnswer: -126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-9\/5)\/y**(-8))**(-1\/7) assuming y is positive.\nAnswer: y**(-31\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2921 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of -g**6\/120 + g**5\/20 + g**4\/12 + 2*g**3\/3 + 2*g**2. Suppose o + 5 + 10 = 0. Let r = o - -19. What is h(r)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21 + 22. Let m = -25 + u. Solve 0 = -2*p + 5*r + m, 14 = 4*p + r - 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3424 + -8?\nAnswer: 3418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2.3155 and -26229.76906.\nAnswer: -26232.08456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2710?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3035.00015708 - 3035. Round o to six dps.\nAnswer: 0.000157","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -65 and -927.4?\nAnswer: 60281","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 7887?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10 + -211320?\nAnswer: -211330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 15) in base 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 - -9 - (3 - -1) - -5 - 6.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 45430?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 316053251?\nAnswer: 163, 1938977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*d = 10*d - 25*d. Solve 13*b - 5*b = d for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2568966737 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 4*i - 5*u - 220, u = -5*i + 275. Suppose 0 = 5*f - 20 - i. What are the prime factors of f?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 273*h**3 + h**2 - 4367*h?\nAnswer: 1638*h + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 2*i + 3. Let r be y(-2). Let h = 4 + r. Solve -h*m + 5 = -4*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + u + 32462 = 0, 52*u + 28 = 56*u. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 + -9. Solve u*q - 9 = 16 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 81300, 81159, 80976, 80793, 80652, 80595?\nAnswer: 80664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.061 rounded to one dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - 16?\nAnswer: -1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -8*y + 165. Suppose -49 + 89 = 4*j. Calculate the lowest common multiple of t(20) and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 22*y**3 + 6*y**2 - 13*y + 12. What is the units digit of t(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1183 is divided by 27?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/15)\/(64\/10 - 6).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 c when three letters picked without replacement from cnnnnkcngnnncigcknbi?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17 and 71.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (15\/2)\/((-6)\/(-16)). Solve 18 = -s*g + 17*g for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 + 5*q**2 - 5*q + 1. Let b be g(3). Factor -3*m**b + 2*m**4 - 37827 + 2874*m**2 - m**4 + 188*m**3 - 21755 - 8826*m**2 + 65348*m.\nAnswer: -2*(m - 31)**3*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -4. Let g = 4 + 17. Let m be ((-28)\/g)\/((-39)\/(-9)). Is m at least as big as w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of b**3\/2 - 2*b**2 + 5*b. Let y be s(3). Suppose -3209*j = -3210*j + 55. What is the highest common factor of y and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + -5.01. Let v = -0.09 + n. Which is the third smallest value? (a) v (b) -2\/7 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 + 1. Let t(j) = -114*j**2 - 2*j + 1. Calculate -s(x) + t(x).\nAnswer: -115*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -76 not equal to 8636254?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 8:16 PM?\nAnswer: 7:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -65, -3040, -7995, -14924, -23821?\nAnswer: -34680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of 43*p**3\/3 + 345*p**2\/2 - 274*p + 3. Determine y(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, e: 1, m: 1, p: 1, c: 1, l: 2}. What is prob of sequence me?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the first derivative of -11*g**3\/3 - 2*g**2 - 3. Let u(y) = 12*y**2 + 3*y. Let j(q) = 3*s(q) + 2*u(q). Find the second derivative of j(z) wrt z.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 580889 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115865 is divided by 39?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s - 11*s - 6*s)*(-3*s + 1 - 1 + (-287*s + 451*s - 348*s)*(2 - 2 + 2)).\nAnswer: 5194*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 228680, 228447, 228060, 227519, 226824, 225975, 224972?\nAnswer: 223815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 954990 (base 12) in base 15?\nAnswer: 316b09","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -58360640 divided by -5?\nAnswer: 11672128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*p - 32*p = -50*p - 7973. Is p bigger than 1141?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -181 divided by -9162.\nAnswer: 181\/9162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 222 or 24084\/109?\nAnswer: 222","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 8:21 AM?\nAnswer: 4:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18, -83, -250, -567, -1082, -1843, -2898, -4295?\nAnswer: -6082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -88735 by 17747.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2. Let r = 3 - 3. Let v = 2 - r. Let z(h) = -v*h + h + 2 - 2. Determine z(n(l)).\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 2:47 PM?\nAnswer: 4:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 2 t when four letters picked without replacement from oodtodotdo.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -26 - -26.01. Let k = m + -63.01. Let x = k + 63.094. Round x to two decimal places.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence popp when four letters picked without replacement from oouooooopoooo.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in five eighths of a meter?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5112181603 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2*l**2. Suppose 0 = 2*p - 8, -5*s + 3*p - 15 = -198. Let w(i) = s*i - 71*i + 34*i. Determine d(w(t)).\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z - 9355 + 9355.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 27*s + 253 = -77 for s.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 + (-7 - (-9 - -9)) - 4.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = z - 279 + 282 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**2 + 2*d. Let t(p) = -2*p**2 - 3*p. Let f(u) = -6*l(u) - 4*t(u). Let y(m) = 6*m. Give y(f(j)).\nAnswer: 12*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3*(-75)\/180*(-24)\/40\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 0 + (-9 - -3 - -2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 35*s - 33*s - 4*o + 18, 0 = 5*s - 2*o + 29 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 155*t**2 + 0 + 104*t - 3\/2*t**3 = 0. Calculate t.\nAnswer: -2\/3, 0, 104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p - 3*p = 29429 + 31231. What is the ten thousands digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19 + -61. Let c be (-4)\/6 - n\/84. Sort 0, -2\/21, c in decreasing order.\nAnswer: c, 0, -2\/21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -647 + 788. Let i be (-4)\/14 - (-32)\/14. Find the first derivative of 141*n - 4*n**2 + 4 - i*n**2 - f*n wrt n.\nAnswer: -12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -7*s + 5. Let l be v(-4). Let y = 14\/191 - -8306\/1337. Find the common denominator of -4*(l\/(-4) - 1) and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 75 = 6*l. Suppose y + 25 = 2*y - 4*j, l = -5*j. Find the first derivative of -h**4 + y*h**4 - 1 - h**4 wrt h.\nAnswer: 12*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bfbtqbaabyaaabbfaaqa. What is prob of picking 1 y and 1 q?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -1\/4 (b) -59 (c) 0 (d) 0.1 (e) -2\/561\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105\/(-525) + 26392\/10.\nAnswer: 7, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*i**6 + 10099*i**4 + i**3 + 159401*i**2 wrt i?\nAnswer: 360*i**3 + 242376*i + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 4*o = 15. Suppose -o + 15 = 3*j. Factor -3 + 57*s**2 - 55*s**2 - j*s + 9*s.\nAnswer: (s + 3)*(2*s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 16662, 0.1, -261?\nAnswer: -261","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 81.72137 kilometers?\nAnswer: 81721370000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lwslbwwslj. Give prob of sequence wjl.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**2 + 77628*r - 232857.\nAnswer: -3*(r - 25873)*(r - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1845180?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*r - 10 = -94*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 187 a factor of 676095?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*b**4*k + 4*b**4*r + 2*b**3*k*r - 2*b**2*k*r + 2*b*r + 6*k + 3 wrt b?\nAnswer: 168*b*k + 96*b*r + 12*k*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24562?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3725, 0, 1, 3, -1 in increasing order.\nAnswer: -3725, -1, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, x: 9, v: 2, e: 4}. Give prob of picking 1 e, 1 v, and 1 s.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 245609919 to the power of 1\/3, to the nearest integer?\nAnswer: 626","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9570\/2030)\/(2\/(-7))*4\/1.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) -4 (b) 176 (c) 1.2 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, 5, -1 in increasing order.\nAnswer: -19, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 18\/(-15)*(-1040)\/24. Suppose 6*a - 2516 = u. List the prime factors of a.\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2890450902?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-24)*2*3*-1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -167257.378 times 3?\nAnswer: -501772.134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 12\/25 of a tonne?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 8) to base 16.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-5) - (-18)\/(-20). Let d be -2 - (2 - (-5)\/(-2)). Let k = 0.51 + 1.49. What is the closest to k in c, -0.4, d?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 6*m + 2. Let j(z) = -5*z - 3. Let b(q) = 4*j(q) + 3*w(q). Let h(v) = -1. Give -b(y) + 5*h(y).\nAnswer: 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -25567*i**3 - 9358*i?\nAnswer: -153402*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 10 = 3*c + 2*w, -21 = -3*c + 5*w for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3817962 and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*f + 2 = -14 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*t - t - 3*t)*(-2 + 2 + t)*(240 - 225*t - 240) in the form y*t + l*t**3 + f*t**2 + g and give l.\nAnswer: 450","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21328 divided by 344.\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30 + -5)\/140)\/((-6)\/(-32)*(-534)\/18)?\nAnswer: 4\/89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, o: 1, t: 2, b: 2, l: 1}. Give prob of picking 1 t, 1 b, and 1 m.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 32325 to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - 23?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 760 a factor of 547371998?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1453 + -0.36424?\nAnswer: -1453.36424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/17 (b) -2\/7 (c) 0.15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4389 + 12958 = 209*k for k.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**2 + 267325*u - 267320.\nAnswer: -5*(u - 53464)*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 3*i - 12, 3*i + 4*x - 6*x + 3 = 0. Let r = -10843 - -10849. Calculate the smallest common multiple of i and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 64322910, 64322904, 64322894, 64322880, 64322862, 64322840?\n\"Answer: -2*h**2 + 64322912","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.2 + 3.8. Let v = d + 0.4. Let k be (3\/4)\/(18\/(-4)). Which is bigger: v or k?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1202340 divided by 400780.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*x = 35*x + 242 + 62 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -4*v + 7*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 167943 a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.213 - -0.1567. Let h = t + 0.04928. What is h rounded to three dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -158, -149, -138, -125, -110?\n\"Answer: h**2 + 6*h - 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l**2 + l**2 - 6*l**3 - 29*l**3.\nAnswer: -35*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 190 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0, -67, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - 4.01. Let c = f - -0.01. Let l = c - -5. Put l, 4, 1 in increasing order.\nAnswer: 1, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the third derivative of -f**10\/6300 - 19*f**9\/15120 - f**8\/1680 - 7*f**5\/60 + 74*f**2. Let q(c) be the third derivative of d(c). Factor q(z).\nAnswer: -4*z**2*(z + 3)*(6*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 129811 to the power of 1\/2, to the nearest integer?\nAnswer: 360","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -41? (a) -109 (b) -1747\/6 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7001018, -14002041, -21003060, -28004075, -35005086, -42006093, -49007096?\nAnswer: -56008095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 4 + 2)*(-l - 3*l - l) + 255*l - 96*l + 226*l to q*l + w and give q.\nAnswer: 370","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 996263204 to the nearest 100000.\nAnswer: 996300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, -21, -54, -103, -168, -249?\nAnswer: -346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, v: 1, a: 2, h: 1, q: 1, d: 1}. Give prob of sequence vg.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -169\/85200 and 97\/750.\nAnswer: 426000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of 131*t**3\/3 + 5*t**2 + 3*t - 264. What are the prime factors of r(-3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -3*x - 4. Let v be b(-2). What is the third derivative of 3*a**2 + 2*a**v - 10*a**5 + 12*a**5 - 2*a**2 wrt a?\nAnswer: 120*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2\/2 + 4165*r - 192119\/2.\nAnswer: (r - 23)*(r + 8353)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -364050 to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(96)\/(sqrt(72)\/sqrt(6)) - sqrt(8))\/(sqrt(4) + 1*sqrt(576) + sqrt(576) + sqrt(576)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 3*m**2 - 229*m + 877. Determine j(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -41*f**2. Let k = -284 - -291. Let s(v) = k*v + 0*v + v - 9*v. Determine s(p(a)).\nAnswer: 41*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(1700) + -2*sqrt(1700) + 3 - (sqrt(1700) + 1)*-3))**2.\nAnswer: 160*sqrt(17) + 6816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -28*w**3 - 396*w**2 + 64*w - 32. Let y(n) = -8*n**3 - 113*n**2 + 18*n - 9. Let a(x) = 9*m(x) - 32*y(x). Suppose a(h) = 0. What is h?\nAnswer: -13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10*p - 35*p - 9*p)*(2 - 1 - 3) as l + g*p and give g.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 51945 - 51956. Let l be (8\/10)\/((-3)\/15). Which is the third smallest value? (a) -0.11 (b) l (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58911.65ml to litres.\nAnswer: 58.91165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of h**3\/3 + h**2\/2 + 2*h. Let r be f(1). What is the second derivative of 3*s + s**3 + r - 3 wrt s?\nAnswer: 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 23, 14, -11, -58, -133?\n\"Answer: -z**3 - 2*z**2 + 4*z + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-5*5*4*((0 + sqrt(1573))*4 + 1 + 4*sqrt(1573)))**2.\nAnswer: 7040000*sqrt(13) + 4026920000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 PM and 10:29 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(1617)\/sqrt(11).\nAnswer: 3 + 7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1233 - 7*j + 1233 + (-6 + 3 + 2)*(-5*j + j + 2*j).\nAnswer: -5*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 524 and 191129?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6e + -d7ca?\nAnswer: -d838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19795 divided by -5.\nAnswer: 3959","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12.8 + -13. Suppose -8 = 2*i + 2*d, 0*i = -3*i + 2*d + 13. Let t be 10\/12 + (-1)\/i. What is the closest to -1 in -1\/4, t, f?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001677 rounded to 7 dps?\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/114642 and 77\/307449.\nAnswer: 6763878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6777 rounded to two decimal places?\nAnswer: 0.68","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p**(-14)*p))\/(p*p**11\/p*p) assuming p is positive.\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -223, 264, 2145, 6116, 12873, 23112, 37529?\n\"Answer: 116*j**3 + j**2 - 328*j - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1491293 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of 107*x**4\/2 - 3*x**2\/2 + 3*x + 59. Is m(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zwznwwwzzi. Give prob of picking 2 w and 1 z.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 b, and 1 u when three letters picked without replacement from {b: 5, n: 1, u: 3, c: 2, i: 7, o: 2}.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12.4 + 13.15. Let o = -13.75 + w. Let p = 0.08 - 0.08. Which is the biggest value? (a) p (b) o (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8404439 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 540 (b) -4\/1019 (c) 84\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 = 2*k - 8. Suppose -31 = -3*q + 5*n + 1, -4*q = n - k. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**2 - 178605800*j + 1595001589682000.\nAnswer: 5*(j - 17860580)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1128420?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 157.96 + -161. Let c = 0.04 + i. What is the second biggest value in 2\/9, c, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9461 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 68 and 195738?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(-2)*(9 + -11). Let g = t + 7. Solve -h = -g*h + 12 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wowoowwwowooow. What is prob of picking 1 w and 2 o?\nAnswer: 21\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1932229?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m = -0*m - 90. Let x(v) = -v**3 - 13*v**2 + 29*v - 3. Calculate the least common multiple of x(m) and 1.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 8 = -3*w. Suppose 4*h - 31 = 7*h + 4*v, 5*h - v = -21. Put w, 4, h, -2 in descending order.\nAnswer: 4, w, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 2*h**2. Let k = -5622\/5 + 11259\/10. Let n(j) be the first derivative of -6*j + k*j**2 + 7. Calculate n(i(u)).\nAnswer: 6*u**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (-13 - (-2 + -8 + 5)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -300 divided by -4\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2138038 - 3?\nAnswer: 2138035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.839 - -0.039. Let s = 2.7 + j. Is s greater than or equal to -26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5\/(-2)*(-208)\/29380. Which is smaller: 2 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(2 + 4*sqrt(1584) + ((2*sqrt(1584))**2 + -5 - sqrt(1584)))*-2.\nAnswer: 432*sqrt(11) + 75996","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 111101 - 101020110002?\nAnswer: -101012221201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 279 - 274. Suppose -j*h = -55 + 65. Let g(k) = -2*k**3 - k**2 + 2*k + 2. Calculate g(h).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 231001 + -3?\nAnswer: 230443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1230 - -1794. What is the highest common divisor of 48 and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 684.01378 - 684. Let b = o - 0.013. What is b rounded to four dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 179, 171, 159, 143, 123, 99, 71?\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2290141049?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5323a1 (base 11) in base 10?\nAnswer: 852314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105*z**2 + 2*z**3 + 105*z**2.\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zo when two letters picked without replacement from zpqppzppoztzozpozo.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + -556?\nAnswer: -558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 3360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -4*w - 22, 3*w = -y - 2*y - 30. Let z be ((-2)\/(-12))\/(w\/(-14)). Which is smaller: 0 or z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2. Let d(j) = -j**3 + 3*j**2 + 2*j - 4. Let i be d(3). Let c(s) = s + i*s + 0*s + s. Determine u(c(k)).\nAnswer: -16*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1066*(-11)\/(-286) - 49.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2724\/631 or -73?\nAnswer: -2724\/631","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 - -10. Let r = -30.88 - -31. Let h = 5.12 - r. What is the nearest to b in -0.5, -0.2, h?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 102\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f + 2*b = -4*f - 14, 25 = 5*f + 5*b. Let p(s) = -s**2 - 2*s + 4. Let t be p(f). Is -20 > t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8)\/sqrt(4))**2 + 3 + sqrt(2) + ((sqrt(2) - sqrt(32))*-2)**2 + (sqrt(98)*2)**2*-6.\nAnswer: -2275 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7490.\nAnswer: 2, 5, 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 6651764 divided by 14\nAnswer: 475126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 194315 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 139 and -0.37?\nAnswer: -51.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 120 and 890.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -945079, -945080, -945081?\nAnswer: -945082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-8) + (-87)\/(-12). Suppose -2956*n + 2572*n = 0. Solve -d*u + 5*u + 6 = n for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 33 = 8. Solve -n = -2, -3*s - 7*n + h*n = -7 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -462, -1738, -3928, -7062, -11170?\n\"Answer: -5*g**3 - 427*g**2 + 40*g - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 699143978?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 15319830293 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 - (2 + (0 - 174)). Let j be 3 + (-3)\/(9\/(-12)*2). Suppose j*c - x = 528. Round c to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*u**2 + 0*u**2 + 3*u**2)*(-3 + 0 - 5).\nAnswer: 16*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d**3\/9 + 7618*d**2\/9 - 639446*d\/9 - 1129310\/3 = 0 for d.\nAnswer: -5, 91, 3723","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2369*l**2 + 28956.\nAnswer: -4738*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rsfsfifpiffsfr. What is prob of sequence rrfs?\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + (0 - -3))*-1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 37*t + 394. Determine z(-10).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 PM and 4:52 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 3*x - 10. Suppose -5*k + 14 - 4 = 0. Let q(t) = -2*t + 5. Let l(i) = k*f(i) + 5*q(i). Calculate l(4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -125 divided by 25\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (21\/(-3))\/(-28)*-2\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of -5*s**7\/42 - 215*s**6\/6 - 427*s**5\/4 - 355*s**4\/4 - 5226*s. Factor f(m).\nAnswer: -5*m**2*(m + 1)**2*(m + 213)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/14 + (-142)\/7. Let s be (-2)\/((-4)\/2) + v. Let u = s + 53. Does 14 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s**2 + 15964*s**3 + 656*s**3 + 1594*s**3.\nAnswer: 18214*s**3 - 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(3\/7)*u)\/u**(-2\/7))**(-35) assuming u is positive.\nAnswer: u**(-60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k - 45 = -k. Let f be 2 - 3\/(k\/6). Suppose -2*p = f - 12. What is the remainder when 10 is divided by p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c + 1. Let q be (9\/18 + -1)\/((-2)\/44). What is m(q)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 198*n**3 + 28*n + 187*n**3 + 24 - 389*n**3 = 0. Calculate n.\nAnswer: -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49999 is divided by 24?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2 - 81840*m + 4089500.\nAnswer: (m - 81790)*(m - 50)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 109261, 107386, 105511, 103636, 101761?\nAnswer: 99886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 6*c**3 + 3*c**2 - c - 1. Let j be n(1). What is the least common multiple of 22 and j*1 - (-17 + 12)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -319*y**3 - 339*y**2 - 224862*y?\nAnswer: -1914*y - 678","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*b**4 + 4*b**4 - 3*b**4 + (10 - 10 + 6*b**3)*(4 - 1 - 2)*(-2*b - 2*b + b).\nAnswer: -23*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(156) - 4*sqrt(156)))\/(sqrt(768)*2))**2.\nAnswer: 117\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 2*n + x, 0 = 4*n - 2*x - 76 + 70 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 45*h**4 + 281890*h**3 - 501300*h**2 - 125320*h = 0.\nAnswer: -6266, -2\/9, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 491 is divided by 160?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(-2\/3))**(-38)*(o\/(o*o**5)*o)**(-3\/49))**48 assuming o is positive.\nAnswer: o**(-148384\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 394590?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -101 at most as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 227, 5, 3, 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 317008 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: Evaluate -4 + (2 - (1 - -2)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 346119 (base 10) to base 7\nAnswer: 2641044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**2 + c + 1. Let b(g) = -9*g**2 + g + 4. Calculate b(z) - 4*u(z).\nAnswer: -5*z**2 - 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, 14 in decreasing order.\nAnswer: 14, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -40\/1337749 and -111\/2254.\nAnswer: 2675498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -87829 divided by -9.\nAnswer: 87829\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71 is divided by 36?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -4*u + 9. Let t(c) = -c**2 + 8*c - 6. Let p be t(u). Let v(i) = -i**2 + 6*i + 5. Determine v(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 114680384 to the nearest integer?\nAnswer: 486","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*u + 37*u - u**2 - 53*u.\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 + 76*q**2 - 155*q + 81. Let p be a(-78). Solve p*w = 3*k, k - 5*w + 11 + 9 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 630362084?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*r - 11*r + 45. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 5\/31, -9, -2\/9, 12\/5?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -544.51442 to the nearest ten.\nAnswer: -540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2014 and 0.052?\nAnswer: -0.0104728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 7:18 PM?\nAnswer: 4:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*d + 3*o - 137, -52*d + 3*o - 127 = -57*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27 + -24. Suppose t*j - j = 2. Let i(k) = 88*k + 1. What are the prime factors of i(j)?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the third derivative of r**5\/30 - r**2. Let d(o) be the second derivative of -o**4\/12 - 4*o**3\/3 - 8800*o. Give h(d(w)).\nAnswer: 2*w**4 + 32*w**3 + 128*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77 = -3*v + 185. Suppose f - v = -4*s, 0 = -4*f - s + 4*s + 87. Let c = 23 + f. What are the prime factors of c?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -334240\/1071 + -818\/153. Let o = s + 318. Let w be (3\/(-15))\/((-6)\/15). Sort o, 3, w in ascending order.\nAnswer: w, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -95 (base 14) to base 12\nAnswer: -ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of c**7\/840 + c**6\/40 - 2*c**5\/5 + 3*c**4\/2 + c**3\/6 + c - 100. Let o(n) be the third derivative of i(n). Factor o(q).\nAnswer: 3*(q - 2)*(q + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 - 3. Let f = 72.84 - -0.16. Let w = -75 + f. What is the nearest to a in -3, w, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*i = 22 + 28 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -435*t - 459*t - 4 - 351*t + 1083*t to the form q + u*t and give u.\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (182\/7 - 33) + 276\/21 - (0 + 5).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2257?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 104*b + 5. Let x be i(10). Suppose 55*k = -0*k + x. Solve t + 16 = k for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 36201015?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -w - 0*w. Suppose -q - 3*k + 5 = 0, 3*q + 3*k - 18 = -3. Suppose c = w*c + 4*p - 24, 3*p = q*c - 22. What are the prime factors of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1992, 2\/13, 5, 6, 4 in decreasing order.\nAnswer: 6, 5, 4, 2\/13, -1992","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*p + 382 = 139 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 11 = 53. What is the remainder when z is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 27 = 5*b, -88*c = -83*c - 3*b - 303. Suppose -55 = 2*v + 47. Let m = -35 - v. Calculate the remainder when c is divided by m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10993 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h**2 + 16178978606220*h - 16178978606220*h.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 11*k - 27. Determine c(4).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 23*s + 47*s - 22*s - 16*s**2 to g*s**2 + w + m*s and give g.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2 - 12*s - 2. Let l be f(-10). Suppose l - 6 = 2*r. Suppose 0 = 3*k - r, -34 + 1 = -5*h - 4*k. Solve 0 = -4*v - 2*w - 9 - 5, 2 = v - h*w for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 8*b + 24 = 2*a, 9*a - b - 4*b = 5*a + 33 for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 3 - (-43)\/(((-10)\/14)\/(-5))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1176 and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.7 - 17.7. Let z = h + 16. Round z to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a litre in millilitres?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 46*l - 60*l + 140*l to the form j + m*l and give m.\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 141306.\nAnswer: 282612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1188270 and 448902.\nAnswer: 20200590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 10*g**2 + 53*g + 307. Is 3 a factor of w(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -318*c - 18. Let f(d) = 479*d + 25. Give -5*f(a) - 7*r(a).\nAnswer: -169*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8637 + 2156 + 12*j + 2157 + 2164 + 2162 + j.\nAnswer: 13*j + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 747131886 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - -15061735423809.6.\nAnswer: 15061735423811.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 5, -118, -8, -60\/37, 0.1.\nAnswer: -118, -8, -60\/37, 0.1, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1620 and 99342000?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55\/(-33)*(-3299 - (9 - 5)).\nAnswer: 3, 5, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - 83.46.\nAnswer: -87.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-16)\/64)\/(-1*1). Let i(n) be the third derivative of -l*n**4 - n**2 + 0 + 1\/60*n**6 - 2\/3*n**3 + 0*n**5 + 0*n. What is b in i(b) = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.24 (b) -2\/7 (c) -2 (d) 3\/5 (e) -1\/15 (f) 342\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z + k = -13*z + 6801, 3*k - 2710 = -2*z. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -72102*c**5 + 7*c**3*x**3 + 2*c*x**3 - 8164*c + 62*x**3 wrt c?\nAnswer: -1442040*c**3 + 42*c*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2\/1707 + -52913\/3414. Calculate the common denominator of b and -23\/21.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59758 is divided by 6492?\nAnswer: 1330","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 49367.109 + -49316.108899. Let h = 51 - d. Round h to 5 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the third derivative of 77*r**5\/30 + 19*r**4\/6 + r**3\/3 + r**2 + 110*r. What is the second derivative of o(c) wrt c?\nAnswer: 308","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 + 27*i**2 - 25*i - 3. Let b = -463 + 486. Is d(b) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 - 2)*10\/4. Let l(o) = o + 1. Let a(f) = -f**2 - f - 2. Let u(i) = -a(i) + 2*l(i). Let n be u(-3). Put q, 1\/2, n in decreasing order.\nAnswer: n, 1\/2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 708.\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 9*o**2 - 3*o + 3. Let z(u) = 13*u**2 - 4*u + 4. Let s be (-52)\/(-7) - 15\/35. Let t = 8 + -13. Calculate s*c(l) + t*z(l).\nAnswer: -2*l**2 - l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjdjjddjjjdddjdddjdd. What is prob of sequence djj?\nAnswer: 11\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the second derivative of h**4\/24 - h**3\/6 + 25*h**2\/2 + 11*h. Let b(m) be the first derivative of a(m). Suppose -15 = g - 4*g. Calculate b(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -4, -3, -2, 10.7 in ascending order.\nAnswer: -4, -3, -2, -0.5, 10.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 2*k - 46108222. Let o(a) = -3*a**2. Calculate d(o(j)).\nAnswer: -6*j**2 - 46108222","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*d**3 - d**2 - 12 - 15*d**3 - d**3 in the form m*d**2 + g*d**3 + k + y*d and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - -1)\/((-1)\/(-9)). Let o be (-3)\/4*2*(-532)\/(-21). Let h be (-1)\/(-2)*-4 - o. Calculate the greatest common divisor of u and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -374.548 - -415.6. Let y = 0.052 - k. Let x = y - -40. Which is smaller: x or -9\/4?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -22 and 48 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 58? (a) -1.3 (b) 0.1 (c) -11 (d) -2\/339\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -576 = -0*t - 4*t - 2*l, -5*t + 731 = -3*l. Calculate the greatest common divisor of t and 116.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the second derivative of -j**5\/20 + j**4\/4 + 5*j**2\/2 + 3*j. Let g = -14 + 18. Give c(g).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - 11 - (2 - (-5 + 11)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/7 (b) 31 (c) 4 (d) 1\/4 (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/11656 and 5\/329?\nAnswer: 81592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 169882508.\nAnswer: 2, 23, 43, 42943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*b - 64*b - 4*l + 1388 = 0, 2321 = 5*b - l. Calculate the highest common divisor of 58 and b.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 5*s**2. Suppose 0 = -4*u + 6*u - 50. Suppose -u - 11 = -3*d. Calculate the remainder when c(-3) is divided by d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1489.\nAnswer: 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - -2. Suppose 5*w = -5*p + w + 123, p = -g*w + 18. Calculate the greatest common factor of p and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 - -2*(-33)\/(-6). Is m at most 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*l - 2*l - 20. What is the units digit of l\/((-5)\/(-22)) + -3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 - -566659453.\nAnswer: 566659452.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-152094485)\/10 - (-4)\/8. Let r be (s\/(-3))\/1 + -3. Suppose r = 4*i - 34930187. Round i to the nearest 1000000.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 7) to base 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 times -1469863?\nAnswer: 8819178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/18*(-38232)\/708?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 8, y: 5, o: 3, p: 1, d: 3}. What is prob of picking 2 y, 1 o, and 1 r?\nAnswer: 16\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - x = -5, 2*x - 5 = 1. Suppose -2*a - s*a = 2*v + 4, 2*v - 5 = -a. Calculate the smallest common multiple of 14 and -12*(6\/v - 2).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1)\/(0 + 1\/(-49)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - 6277440?\nAnswer: -6277436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -23 - -27. Suppose -180000 = -q + v*q. What is q rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/36 and -43\/38736.\nAnswer: 38736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -6*s - 139. Calculate g(-16).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * -8.678\nAnswer: -1.7356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -348 (b) 3 (c) 82561\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5214.9 rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 912.5972cm to millimeters.\nAnswer: 9125.972","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*m**2 + 4*m**2 + 4*m**2)*(2*m + 0*m - 3*m) - 3*m**3 + m**3 - 3*m + 0*m.\nAnswer: -5*m**3 - 3*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 459, 447, 435, 423?\nAnswer: 411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 199376?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.221997 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -2*b - 22, 3 + 1 = b. Let a be o + -3*(-6)\/(-9). Suppose -t + 0 = -a. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -5*z + 4*h, -3*z - 9*h + 4*h = 4 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10191*m**2 + 7*m**3 - 7*m**3 + 20379*m**2 - 10202*m**2 - 10*m**3.\nAnswer: -10*m**3 - 14*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 400345551 (base 6) in base 4?\nAnswer: 121233201223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((n**(-3\/4)*n)\/n)\/n*n)\/(n*(n\/n**26)\/n))\/(n\/n**(3\/8))**(-44))**(-17\/2) assuming n is positive.\nAnswer: n**(-3519\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 644 and 258734.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**0\/q*q*(q\/q**(-2\/7))\/q)\/(q**(2\/13)*(((q*q*q*(q*(q\/(q\/q**(-3)))\/q)\/q*q)\/q)\/q)\/q)*(q\/q**1*q*q)\/(q*q**(-6))*q**0*q**(1\/11) assuming q is positive.\nAnswer: q**(10233\/1001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22*c - 18*c - 1028. Suppose -6*k + 7*k - c = 0. Let j = -66 + k. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 3 + 15)*(-3*m - 2*m + 3*m) to d + l*m and give l.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 9 = -2*r - 29, 0 = 2*o + 4*r - 10. Suppose -2*a + 10 = -5*f + a, f = -a + 6. Solve -u = -f + o for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/16)\/((-5)\/20*2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*b + 20*b = 42. Let i(f) = f**2 - 23*f - 17. Let w be i(b). Let a = w + 60. What is the highest common factor of a and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 8 = 0, -j - 2*j - 3*h = -42. Calculate the remainder when j is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7571973.\nAnswer: 3, 2523991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2*(-6)\/(228\/95). Solve -i*g + 37 = 4*u, 4*g = 63*u - 65*u + 26 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -228 (base 9) to base 6.\nAnswer: -512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from gfvvggfgfvfzfgvgv?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3346240334 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 d, and 1 w when three letters picked without replacement from {d: 4, g: 5, k: 1, w: 1}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -2*w - 16. Let b be a(4). Let v = b - -19. Let f(j) be the first derivative of j**2\/2 + 4*j - 5. Determine f(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -488981523, -977963048, -1466944573, -1955926098, -2444907623, -2933889148?\nAnswer: -3422870673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5.00096 + 5. What is m rounded to four decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 202, -136, 1 in ascending order.\nAnswer: -136, 1, 4, 202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of 13*m**3\/6 - 31*m**2\/2 + 53*m. Let c be i(3). Solve q - 5*q = -2*x - c, 2 = q - 5*x for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*v + 5*v - v)*(-2 - 2 + 2) + 0*v + 0*v + 3*v + (0 - 1 - 1)*(-2*v + 0*v + 3*v) to i + w*v and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 4*f - 36, -4*f - 7*u + 4*u + 31 = 0. Solve k + 8 = c, 3*c - c + f*k + 8 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0831 rounded to two dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 and 384?\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/((v\/(v*v**(1\/4)))\/v))**(-15)\/((v*v**(-7))\/(v**8*v)) assuming v is positive.\nAnswer: v**(-75\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 PM and 9:27 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 4*c**3 + 2*c. Let l(x) = x**3. Determine 2*k(n) - 6*l(n).\nAnswer: 2*n**3 + 4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4181 is divided by 34?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of -1817*i**6\/120 + 1601*i**3\/3 - 972*i**2. Differentiate v(z) with respect to z.\nAnswer: -5451*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 700*w**2 - 11198*w - 32. Let m be y(16). Factor 0*d - 18\/13*d**2 - 6\/13*d**3 + m - 2\/13*d**5 + 10\/13*d**4.\nAnswer: -2*d**2*(d - 3)**2*(d + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirty-one halves of a century?\nAnswer: 18600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4336 and 351216?\nAnswer: 351216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*f**2\/11 - 23058*f\/11 - 92264\/11 = 0. Calculate f.\nAnswer: -4, 11533","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 88190, 176380, 264570?\n\"Answer: 88190*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 20*o + 4. Calculate f(-2).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 5*v**3 - 9*v**2 + 5*v + 10. Suppose 0 = 15*s - 29*s + 98. Is l(s) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -5*v**2 + 16193*v - 32374. Calculate o(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*f - 16 = -18*f + 16 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 4, 6\/5, -5\/236, 1, 2\/53, 5?\nAnswer: -5\/236","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22171 - -22694. Calculate the remainder when j is divided by 280.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22829552 divided by -2\nAnswer: -11414776","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16288, 16293, 16302, 16315, 16332, 16353?\nAnswer: 16378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -42*-56372\nAnswer: 2367624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -29 + 237\/8. Let d = s - 3\/8. What is the nearest to -0.3 in d, -3\/7, 4\/3?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*4 + (-3585)\/900. Let a(q) be the third derivative of 0 + 0*q + 0*q**3 + 0*q**4 + r*q**5 - 2*q**2. Let d(m) = -4*m. Give a(d(t)).\nAnswer: 16*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/8 + 121\/(-2). Let y be 6\/(-10)*q\/4. Let a = y + -3. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 6 = 2*i, -i - 4*v = 5 - 2. Suppose -2*l = 0, 3*s - i + 14 = -4*l. Calculate the remainder when 86 is divided by (-63)\/s + 6 + -5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.6 + -0.2. What is the fourth smallest value in -3, -3\/17, 4, y?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -2*x - 15. Let y be q(-10). Let t = 363 + -365. Which is the third biggest value? (a) y (b) t (c) -0.76\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1020 + 112222?\nAnswer: 111202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 9022948?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 123265?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-5 + 1*-2*(sqrt(1053) - 3*sqrt(1053))**2*2 + 4).\nAnswer: 101094","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 4:34 PM?\nAnswer: 7:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22 and 26.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 129204238?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k**2\/3 - 105052*k + 630320\/3 = 0. Calculate k.\nAnswer: -157580, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, -1530, -2.\nAnswer: -1530, -3, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2 - 32*v + 54. Let y be a(5). Which is bigger: y or -135?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*m - 20, -y + 16 - 35 = 4*m for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -4*u + 17 + 19, 0 = w - 4*u - 14. Suppose 9*n = -5*t + 110, -3*n + 101 = 5*t + 21. What is the third smallest value in -0.3, w, n, -2\/3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (-4 - (5 - 7)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109 is divided by 108.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102020010 + 212120?\nAnswer: 110002200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -52 - -32. Let m = l - -20.54. Let f = 0.44 - m. What is the closest to f in -6\/5, -4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 16*w - 6*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(2*-3*sqrt(120)\/sqrt(5))\/((5*-1*sqrt(88) + sqrt(88))\/sqrt(11)).\nAnswer: -3*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**4 + 10312*o**3 + 26625548*o**2 + 212468480*o + 318517248.\nAnswer: (o + 2)*(o + 6)*(o + 5152)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -5 - 4. What is the second derivative of 6*n**4 - 3*n**4 + 0*n**4 - w*n + n**4 wrt n?\nAnswer: 48*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20009 - 10408. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -5*g**3 + g**2 - g. Let x(k) = -4*k**3 + 2*k**2 - k. What is -3*h(c) + 4*x(c)?\nAnswer: -c**3 + 5*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-341360)\/15060)\/(2\/12*4).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1874325*k**3 + 126448*k**2 + 5*k - 3.\nAnswer: -11245950","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6882142 divided by 6.\nAnswer: -3441071\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 8 + 0 = 0, 0 = -w + h + 9. Suppose 0*j + 2*j + 2*z = 32, -2 = -z. Suppose 0 = 5*n - j - 31. Solve w*x - n - 6 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -254*u - 6 = -6. Suppose -h + 4*r + r = -30, -10 = 2*r. Let y(x) = -x**3 + 6*x**2 - 6*x + 4. Let t be y(h). Which is smaller: t or u?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61 = -6*j + 5*y, -2*j + 323*y - 32 = 319*y for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2547407, 2547408, 2547409, 2547410, 2547411?\n\"Answer: i + 2547406","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -39043202*o**3 - 31190794*o**2.\nAnswer: -234259212","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 i, and 1 r when three letters picked without replacement from {r: 1, m: 2, i: 1, a: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (1\/9)\/(1\/(-19)) and 30\/11?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -110001010111010010 (base 2) in base 12?\nAnswer: -99016","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2\/7, -132 in descending order.\nAnswer: 2\/7, -3, -132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8190 and 3245970?\nAnswer: 9737910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 16 (b) 14 (c) -2 (d) -18 (e) -0.5 (f) 0.3 (g) 1\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 309*z - 39. Let g(k) = -89*k + 11. What is 5*f(c) + 18*g(c)?\nAnswer: -57*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -5447679 (base 10) to base 8\nAnswer: -24617777","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - -32332?\nAnswer: 32340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -8, -1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1417 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9768445 is divided by 261?\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5783 - -5775.127. Let j = r - -0.073. Let q = 8 + j. Which is the nearest to 2? (a) q (b) -2\/7 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-40)*m**11*(m\/(m*m**(8\/9)*m*m))\/(m*m\/m**(-20)) assuming m is positive.\nAnswer: m**(-485\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30 and 8433810?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 take away 7639?\nAnswer: -7651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1398136640 a multiple of 3718?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1549?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 149 - 426. Let m = -204 - q. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:16 AM and 11:01 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16 or -95?\nAnswer: -95","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, a: 1, v: 3, n: 2, x: 1, o: 5}. What is prob of picking 1 x and 1 v?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 598 + -697. Let c be (-15)\/4 - (7 + q\/9). Determine w so that 0*w - c*w**4 - 1\/2*w**2 - 3\/4*w**3 + 0 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 28 = 5*f - 10*f, 0 = 5*m + 2*f + 2. What is the fourth biggest value in m, 0.2, -1, 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36312 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -2*l**2 + l + 2. Let j(x) = -10*x**2 + 6*x + 10. Suppose 7*a - 38 + 150 = 0. Determine a*i(q) + 3*j(q).\nAnswer: 2*q**2 + 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:09 AM and 8:46 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 282084917 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-451 - 319 + 576)*(4*l - 4*l - l) - l - 2*l + 2*l.\nAnswer: 193*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3466887?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -416 + 716. Does 23 divide (b\/36 + -9)*(-897)\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5.2998 + -5.228273. Let h = 0.0711 - y. Round h to four decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.04? (a) 4\/9 (b) -1.6 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -350*r = 213*r - 2319 - 5289 - 22231 for r.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19054.40633*-0.2.\nAnswer: -3810.881266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 214*l = 8061 - 785 for l.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -d**3\/2 - 9*d**2\/2 - 7*d = 0. Calculate d.\nAnswer: -7, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -2, -1\/11, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 - 3*o**2 + o + 11. Give r(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -41290 or -41292?\nAnswer: -41292","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 + 27 = -4*r. Suppose -5*m + 10 = -0*m. Let c(k) = -m + 10 + 9 - 4*k**2 + 7*k**2. Let q(s) = -s**2 - 6. What is r*q(d) - 6*c(d)?\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*2\/(532\/(-7)).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 PM and 2:44 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h**2 - 11*h - 12. Let o be r(7). Let l = o + 365\/2. Find the common denominator of l and 2\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2484, 4903, 7306, 9687, 12040?\n\"Answer: -d**3 - 2*d**2 + 2432*d + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1056, 1103, 1182, 1293, 1436?\n\"Answer: 16*p**2 - p + 1041","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the third derivative of -y**8\/448 + y**6\/80 - y**4\/32 - y**2 + 19*y. Factor w(j).\nAnswer: -3*j*(j - 1)**2*(j + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2524 and 1259.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (6*7\/15)\/((-4)\/5)\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the second derivative of -l**5\/20 + 5*l**4\/3 - l**3\/3 + l**2 - 16*l. What is the second derivative of o(u) wrt u?\nAnswer: -6*u + 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 - 3*o**2 + o - 2. Let b(j) = -3*j**3 - 5*j**2 + 5*j - 23. What is -b(u) + 5*h(u)?\nAnswer: -2*u**3 - 10*u**2 + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = p - 5*h, h + 13 = -0*p + 2*p. Suppose 4*j = -3*r - 1, -2*j + r - p*r - 5 = 0. Solve j*w - w = -4 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -222305\/19 or -11700?\nAnswer: -11700","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 104407, 417245, 938509, 1668199, 2606315, 3752857?\n\"Answer: 104213*y**2 + 199*y - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zwvw when four letters picked without replacement from ewwevzwwvwwwvwzw.\nAnswer: 9\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5 or -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 691*a**2 - 2*a + 3 - 699*a**2 - 4 in the form b + l*a**2 + w*a and give l.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 5 + 0 + (sqrt(20) + -4 + sqrt(20))**2.\nAnswer: -32*sqrt(5) + 97","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (16\/(-2))\/(-4 - -2). Solve -3*y = n*y - 7 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12482 - 40735 = -1612*w + 85669 + 102914 for w.\nAnswer: 150","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 311 by -198.\nAnswer: -311\/198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -381 + 380. What is the units digit of o\/2 + (-636)\/(-8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 28 - 468. What are the prime factors of u?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7659 and 18058257.\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1131?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**0)**13)**(-15) assuming u is positive.\nAnswer: u**(-195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 53205168?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -27*b**2*t**2 + 10*b**2*t - 3*b*p*t - 4*b*t**2 + p*t**2 - p*t - 2*t wrt t?\nAnswer: -54*b**2 - 8*b + 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 3*h = -7*y + 38, 4*y + 2*h = 202. Let i = -24 + y. Round i to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 + 10*j**2 - 5. Give p(-10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23a5a (base 13) to base 16.\nAnswer: -ffc6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the second derivative of -7*f**4\/4 + 17*f. Let w(a) = -2*a**2. Calculate w(z(q)).\nAnswer: -882*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8)\/(-80) - (-1039)\/10. Suppose -9 - 17 = -2*j. Calculate the greatest common divisor of j and a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/4 + (-3179)\/(-44). Suppose 3*v = -5*b + l, -2*b - 13 = -v - 0*b. Solve u + 3*d = 15 + 2, -3*u - d + v = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*i = 5*i - w - 3, -4*i - 5*w + 14 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4 + ((-126)\/138 - (-70)\/(-805)). Suppose -4*b - 16 = h, -2*b + 6 = h + 3*h. Put n, 1, h in descending order.\nAnswer: h, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -199, -777, -1727, -3049?\nAnswer: -4743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/1600 and -51\/6400?\nAnswer: 6400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 3\/10 of a millennium?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 173137, 346273, 519409, 692545, 865681, 1038817?\nAnswer: 1211953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 4054 (b) -24 (c) 9\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -118.9 - -126.406. What is j rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*n + 5*n - 8 = -13*n - 3*g, 2*g - 2 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -86*f**4 + 31354*f**3 + 160511100*f wrt f?\nAnswer: -1032*f**2 + 188124*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 46316 divided by 6\nAnswer: 23158\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 2*b - 3 = -3*d, 9 = 5*d + 3*b. Solve -3 = -3*u + d*q, 2*q + 15 = -q for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/22 and 33\/451231846?\nAnswer: 4963550306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 AM and 8:39 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 + 9*l**2 - l + 13. Let o be x(9). Put -2, 0, o, -3 in decreasing order.\nAnswer: o, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*s + 14*s - s**4 + (2*s**3 + 2*s**3 - 3*s**3)*(s + 0*s - 3*s) + 0 + 0 + 2*s**4.\nAnswer: -s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n**2\/15 - 63013256*n\/5 + 189039766\/15 = 0. Calculate n.\nAnswer: 1, 94519883","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*q = -61*q - 444 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gvglgvpvglprlvrrgp. Give prob of sequence lglv.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h + 376 = -5*h. Let q = -90 + h. Suppose -4*t - 241 = f - 609, 0 = q*f - 16. Calculate the highest common factor of t and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -2 + 1. Let t = 18 - s. Let b be t*1 - (6 - 7). Calculate the highest common divisor of b and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((114\/(-513))\/((-6)\/297) - 2766\/184) + 4?\nAnswer: -3\/92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -85 * -0.23\nAnswer: 19.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108 - 87 = -7*f. Put -93, f, 5, 1 in descending order.\nAnswer: 5, 1, f, -93","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1084 (base 13) in base 7?\nAnswer: 6502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 114 by 19.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -4*s**3 - 187*s**2 + 7*s - 1740. Determine d(-47).\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -732040*s**2 - 1806*s + 3?\nAnswer: -1464080","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 PM and 2:11 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 170, 652, 1432, 2492, 3814?\nAnswer: 5380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 100177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -636*z + 153*z + 12558 = 0 for z.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 253750 and 3085?\nAnswer: 156563750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 - 6*v**2 - v - 8. Let u be y(-6). Let o(w) be the first derivative of w**3\/3 + 3*w**2\/2 + 3*w - 3097. Give o(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22369414003 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 2*t - 10. Let v be l(6). Let w be ((-1205)\/v)\/(3\/(-54)). Is w\/65 + (-4)\/(-26) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, -8, -5, -4, -11, 5 in decreasing order.\nAnswer: 5, 3, 2, -4, -5, -8, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 36 (base 12) to base 10\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h - 63 - 7 + 30*h.\nAnswer: 28*h - 70","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -5, -0.034, -14.16?\nAnswer: -0.034","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(684) + -1))**2 - -2*(sqrt(19) + -1 + sqrt(19) + 1)**2.\nAnswer: -12*sqrt(19) + 837","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 88478207 to the power of 1\/3, to the nearest integer?\nAnswer: 446","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15672006*t**3 - 2*t**2 + 7835983*t**3 + 7835989*t**3.\nAnswer: -34*t**3 - 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68*l + 33 - 33 + 58*l - 19*l - 318*l.\nAnswer: -211*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 389994, 390067, 390176, 390321?\nAnswer: 390502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 47243059 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 151 bigger than -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -520.26 rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 30576.2319 - 30581. Let h = 4.488 + m. Let q = -0.296 - h. What is q rounded to three decimal places?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31673*q**2 + 0 + 0.\nAnswer: 31673*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*g + f - 17 - 4, 0 = -108*g + 104*g - 3*f - 15 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -28303\/3 - -9469. Factor 80\/3 + 12*u**2 - 2\/3*u**3 + c*u - 2\/3*u**4.\nAnswer: -2*(u - 5)*(u + 2)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 - -4. Let h(k) = k**2 - k - 3. Let d be h(3). Put -4, f, d in ascending order.\nAnswer: f, -4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.9 + -1.99. Let s = 0.15 + p. What is the closest to -0.1 in -3, -0.4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - ((16 - 310\/20) + (-372)\/(-56)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**14*m\/(m\/(m*m**0)))\/(m\/(m\/((m\/(m**(-6)\/m*m))\/m)*m))**(2\/119) assuming m is positive.\nAnswer: m**(1894\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 52717 = 3*y, y + 63*g = 53*g + 17647. Is 88 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 635 - 427. Let m = p - 209.98. Let x = m - 0.02. Which is bigger: -1\/4 or x?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4741 is divided by 217.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 6807 = 1719. Let q = o - 880. List the prime factors of q.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**3 + 18*g.\nAnswer: -2*g*(g - 3)*(g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 - 1. Let s(c) = -2*c**2 + 2*c + 7. Let q(a) = 2*s(a) + 14*z(a). Let q(v) = 0. What is v?\nAnswer: -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.51 - -341117616.66.\nAnswer: 341117616.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 1*((-2 + sqrt(176)*-2 - ((sqrt(176) + 1 - sqrt(176)) + sqrt(176) + 4 + sqrt(176))) + 5*(sqrt(176) + 0)*-2)**2.\nAnswer: 784*sqrt(11) + 34548","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**6)\/j*j**(-2\/11))\/(j**(6\/7))**48 assuming j is positive.\nAnswer: j**(-2720\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1311, 11441, 39083, 92991, 181919, 314621?\nAnswer: 499851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*d**6 + 10*d**5 - 477*d**3 - 636793*d**2.\nAnswer: 720*d**3 + 600*d**2 - 2862","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 7 = -2*f, 5*p - 20 = 4*f + 9. Let h = 12618 + -12618.2. Which is the nearest to -0.1? (a) p (b) h (c) 0.1 (d) 0.049\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppjp when four letters picked without replacement from jeeejeppeejpepep.\nAnswer: 3\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 2 - 6. Let g = 1 + z. Let o be 2 + g + (5 - 2). Solve o*q - 6*q = -4 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 divided by 84.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*l**2 + 64 - 64 - 65*l**2.\nAnswer: -31*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-16)\/3 + (-4)\/(-12). Let w(j) = -j**2 - 8*j - 3. Let d be w(-5). List the prime factors of (d\/i)\/(6\/(-20)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 27 and 2275.\nAnswer: 61425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the third derivative of z**5\/30 - 4*z**4\/3 + 28*z**3\/3 + 40*z**2 - 8. Factor n(r).\nAnswer: 2*(r - 14)*(r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -15*q + 8 + 22*q - 8*q. Let n be (-4 - (-40)\/4)*(-6)\/(-9). Give x(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22533 is divided by 4477?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18038 to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21112 + -111?\nAnswer: -22000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*y + y. Let j(a) = -36*a**2 + a. What is the common denominator of (-2146)\/180 - (-6)\/27 and j(y)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 47, 111, -1 in ascending order.\nAnswer: -1, 47, 111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20834 and 110?\nAnswer: 104170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - ((-1 - -8) + 6060\/3131)?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/2040 and 41\/908.\nAnswer: 463080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eebenelelieeeeeebe. Give prob of sequence bb.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 4*q**3 + 78732*q**2 + 2201360*q = 0?\nAnswer: -19655, -28, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 AM and 8:22 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/55343 and -19\/479.\nAnswer: 26509297","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -2*u**2 - 18*u + 20. Let c be w(-10). Suppose -3*o + 4*p + 11223 = c, o = -p + 754 + 2980. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v**(-2\/5)\/v)*v)**(-3\/8)*(v*v**(-2)*v)**(2\/27) assuming v is positive.\nAnswer: v**(-51\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2437 + 86*o**3 + 133*o**3 + 1107*o**3 wrt o.\nAnswer: 3978*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*u**6 + 27*u**4 - 154*u**3 + 34645*u**2.\nAnswer: 240*u**3 + 648*u - 924","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 15*c + 1 + 0.\nAnswer: 15*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1024*v**4\/3 + 3712*v**3\/3 - 2596*v**2\/3 - 464*v - 48.\nAnswer: -4*(v - 2)**2*(16*v + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 243, 0.1, -26?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-107 + 94 - 11) + -26\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1980 - -1696. Let m be (r\/(-18) - 1) + -2. Let f = m - -207. What is the third biggest value in 1\/2, f, 2\/9?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 709 + -450. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 14*n + 15. Determine f(-9).\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -j**5\/2 + 167983*j**4\/6 - 9956489*j**3\/6 + 1100055*j**2\/2 = 0?\nAnswer: 0, 1\/3, 59, 55935","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3619 - 1869. Let m = 2970 - a. Let v be 10*m*-500 - 0. Round v to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71\/4 of a millennium in years?\nAnswer: 17750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1104, -1088, -1100, -1158, -1280, -1484, -1788, -2210?\n\"Answer: -3*s**3 + 4*s**2 + 25*s - 1130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -4*d - 17. Let m be h(-5). Let x(f) = f**3 - 13*f**2 + f - 10. Let u be x(13). Solve -2*r - o = -m, -u*r - 2*o + 5*o = -18 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 - 69 = m. Let u be (m\/(-3))\/(2\/3). Suppose 5*a = -11 + u. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 262 + 34. What is the least common multiple of t and 6?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -11*q**2 - 2*q + 1. Let z(c) = -23*c**2 - 1 + 2 + 0 - 5*c + 1. Let w(p) = -5*f(p) + 2*z(p). Calculate w(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 115 + 1 = 0. Let q be (15 + -3)*(13 - 1)\/(-3). Let h = q + r. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (88 + -86)\/((-4)\/(-3))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 + -11. Let c(w) = w**2 + 2*w + 1. Let j be c(-5). Suppose g - f*u = -j, -g = 2*g + 3*u - 12. Which is greater: g or -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2837101*0.1.\nAnswer: -283710.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**4\/3 + 3806*m**3\/3 - 1268*m**2.\nAnswer: -2*m**2*(m - 1902)*(m - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 90187 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + f + f**2)*(2 - 2 + 1 + (-3 + 3 + 1)*(-1 + 3 - 1))*(7*f + f + 29*f).\nAnswer: 74*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1548\/7*v + 299538\/7 + 2\/7*v**2 = 0.\nAnswer: 387","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q - 395 - 1123 = 0. Does 18 divide 5 + q*(2 + -1)*-2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uopppzzpo. Give prob of sequence upzo.\nAnswer: 1\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-70)\/84)\/((-1)\/6) + 56\/(-12). Let v = 18 + -15.4. Let h = v + -3. What is the closest to 12 in l, -4, h?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -4*h - 2*j + 131, h = 3*j + 31. Let u = -149\/4 + h. Let t = -186\/5 - -37. What is the biggest value in u, -3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 10 = l, 2*l + 2*a - 28 = -8. Suppose -2*z + 3*z - 4 = 0. Calculate the smallest common multiple of l and z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/y**(-9)*y**(-13)*y**(-1\/19)\/(y\/(y\/(y**(2\/17)\/y))) assuming y is positive.\nAnswer: y**(-701\/323)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xv when two letters picked without replacement from {j: 1, x: 2, u: 1, v: 1, r: 2, g: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 11 - ((-14)\/21)\/(4\/(-6)). Suppose 95 = q + 6*r - r, -2*r + 86 = q. Calculate the highest common factor of q and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1338992 and 1488.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 76725 and 120.\nAnswer: 613800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/(-828))\/(2\/(10 + (-24)\/6))?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(320) + -1 + 0)**2.\nAnswer: -16*sqrt(5) + 321","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29210?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together 11607 and -1.74405.\nAnswer: 11605.25595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -10) + ((-1016)\/80 - -6).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 7 + 4 + -7 - 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*z - 178*z**2 + 4 + 117*z**2 - 4 + 63*z**2.\nAnswer: 2*z**2 + 4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -40*r**4 + 65*r**3 - 66*r**3 - 31*r**4 - 2*r**2 + 2 in the form n + u*r**2 + c*r**4 + p*r**3 + h*r and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in eleven eighths of a microgram?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 f when two letters picked without replacement from {f: 11, a: 2, z: 1, s: 3, b: 1}?\nAnswer: 11\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-395 - -9)\/((-1)\/5). Round s to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -4 + (4 - 1 - 4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1404186600 and 480?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -155, -301, -437, -563, -679?\n\"Answer: 5*q**2 - 161*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*t - 102*t - 13*t)*((2*t - 3*t + 2*t)*(-t**2 + 0*t**2 + 2*t**2) + 2*t**3 - 2*t**3 - 2*t**3 + 2*t**2 + 2*t**3 - 2*t**2).\nAnswer: -120*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 43\/4 of a litre?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*b - b + 5*b + (7*b - 3*b - 2*b)*(1 - 5 + 2) - 2*b - b + b + 18*b + 28 - 28 to the form h*b + l and give h.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 124610 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4279943 to the power of 1\/2, to the nearest integer?\nAnswer: 2069","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**5 - 4*w**3 - 7*w**4 + 14*w**3 - 135*w - 8*w**4 - 270 - 15*w**4 + 180*w**2.\nAnswer: 5*(w - 3)**3*(w + 1)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in twenty-seven halves of a century?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19251 - 19275. Sort t, -1, -2, -8.\nAnswer: t, -8, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of g**4 - 5517919*g - 256459539 wrt g.\nAnswer: 4*g**3 - 5517919","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 3*f, 4*r + 4*f = 9*f + 37. Suppose -r*x - 3*y = -690, 4*y = 8*y. Is 6 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -25860*h + 25857*h - 4*q + 20, 2*h + 0*q + 4*q + 1 = 21 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1012100122 (base 3) in base 7?\nAnswer: -125525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 0, 4*r + 4*c - 10 = -2. Let l(z) = 2 - z - r. What is the units digit of l(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 - (-8 + (3 - 4)). Let l = -3 + o. Calculate the remainder when 4 is divided by (-1)\/((-14)\/l + 3).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 - 16 + 5*s**3 + s**3.\nAnswer: 6*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 389\/20 - 81\/4. Put j, -6, 0 in descending order.\nAnswer: 0, j, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -553*i**2 + 1623*i + 108.\nAnswer: -(i - 3)*(553*i + 36)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one tenth of a meter?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -155*f. Let o(t) be the third derivative of -t**4\/12 - 117*t**2. Give o(u(a)).\nAnswer: 310*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of 9\/13*r**2 + 0 + 1\/78*r**4 + 29*r - 2\/13*r**3. Solve w(k) = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 148093 is divided by 13384.\nAnswer: 869","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 2*i**2 + 11*i + 11. Let h(n) = -n**2 - 4*n - 4. Let v(m) = -11*h(m) - 4*z(m). Let a(r) = -5*r**2. Calculate a(v(f)).\nAnswer: -45*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 + o**2 + o - 4. Suppose -3*y = -0*y + 3*y. What is k(y)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80071 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1 (b) 55 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19*s**3 + 423*s**2 - 8718*s.\nAnswer: 114*s + 846","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2745*j**3 - 2746*j**3 - 2748*j**3 + 8243*j**3 + 12 + 2.\nAnswer: 4*j**3 + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 PM and 10:34 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzs when three letters picked without replacement from gzvszzo?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/(-14))\/(2\/7). Which is the closest to 0.1? (a) 0.5 (b) r (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3\/8, -2\/17, 2329, -12, 5 in decreasing order.\nAnswer: 2329, 5, 2, 3\/8, -2\/17, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3 - 139*z**2.\nAnswer: -z**2*(z + 139)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 985 + -963. Sort x, -0.1, 5, -1\/2 in increasing order.\nAnswer: -1\/2, -0.1, 5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 81.39 * -0.2\nAnswer: -16.278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j**3 + j**3 + 4*j**3 - 7*j**3.\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.8*0.3264536.\nAnswer: 0.91407008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -217*k + 99*k + 118*k + 25*k**2. Let a(g) = -5*g**2. Give a(l(n)).\nAnswer: -3125*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together -17567 and -112569.\nAnswer: -130136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 12\/(-27) + (-147)\/(-27). Suppose 4*z + 10*f - 32 = 6*f, -t*z - 4*f + 35 = 0. Let u = -21 - -21.1. Which is the smallest value? (a) -21 (b) z (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a century in months?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r**2 - 20732*r - 107453956 = 0 for r.\nAnswer: -10366","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2438 - 2437. Sort -5, g, 4 in descending order.\nAnswer: 4, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4 - -19) + 4 + 0?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 527870689 a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 793*g + 50390. What is the hundreds digit of w(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -15, 3, 9, -0.5, -7 in descending order.\nAnswer: 9, 3, -0.5, -3, -7, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -328, -326, -324?\n\"Answer: 2*t - 330","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -48*b**2 - 488*b + 2918. What is h(6)?\nAnswer: -1738","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of 5\/3*h**3 - 5 + h**2 - 3*h. Let i be t(2). What is the greatest common factor of 7 and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*q + 48*q + 7*q - 12*q to u + s*q and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -81 + 80.99. Let w = 0.11 + y. Suppose 4*t = -0*t + 4*i, -t - 15 = -4*i. Which is the closest to w? (a) t (b) -5 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 3 + (0 + 0 + 2)*(-1 + 5 - 2) + 1 - 1 - 8)*(-3*m - m + 3*m) + (0*m + 0*m + m)*(-1 - 1 + 4) + 3 - 3 - 4*m.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 2 + 7)*(-3 + 7 - 2) + 0 - 4 + 2)*(2*z + 12 - 12)*(-1 - 1 + 3)*(-4 - 1 + 0)*(-3 + 5 - 1).\nAnswer: -60*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/16*-76 - (-288 - -301). Suppose 0 = 2*f + 4*k - 26, 5*k - 10 = -f - 0*f. Solve u + f = i*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -269*m - 8 = -271*m. Suppose 0 = 4*j - 5*t, 0*j - 2*j = -m*t. Let g = 9\/8 - 61\/40. What is the closest to -0.1 in g, j, -5\/3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/714 and 103\/238?\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-22)\/(-8)*(-1054)\/98549\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(4*-1*sqrt(14)\/sqrt(2))**2 - (1*sqrt(700) + sqrt(7)*1 + 0).\nAnswer: -11*sqrt(7) + 336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 6*w + 9001. Let d(m) = -13*m - 18079. Calculate -9*c(g) - 4*d(g).\nAnswer: -2*g - 8693","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -35 - -265?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3089*m**4 + 77*m**2 - 13.\nAnswer: 74136*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 + 0)\/(-1)*(13 - 9). Let o(m) = -m + 1. Let q be o(a). Suppose 0 = -y - w + 82, y + q*w = 36 + 30. List the prime factors of y.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 3:02 PM?\nAnswer: 6:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 - 14*q + 44. Let x be z(4). Let p(o) = -o**3 + 6*o**2 - 6*o + 10. What is p(x)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 3*m = 62 - 314, -5*m = -20. Sort d, -4, 3, 0.06 in decreasing order.\nAnswer: 3, 0.06, -4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*j**5 + 8776*j**4 + j**2 + 9*j - 25166 wrt j.\nAnswer: -180*j**3 + 105312*j**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11222 (base 3) to base 8.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1627413 is divided by 325461.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (376\/(-280) - 3\/(-21))*-5. Let x(f) = f**3 - 6*f**2 - f + 2. Give x(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -4*s**2 + 13*s - 121. Let g(h) = -5*h**2 + 15*h - 144. Let k(a) = -5*g(a) + 6*v(a). Suppose -2*j + 4 = 2*j. Let i be (15\/6)\/j*-2. What is k(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of c**4\/15 + 26*c**3\/15 + 24*c**2\/5 + 2*c - 30. Determine h so that m(h) = 0.\nAnswer: -12, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of 0 + 1\/30*l**5 + 0*l**4 - 1\/3*l**3 - 3*l**2 + 0*l. Let p = -20 - -18. What is m(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, -3, -2.\nAnswer: -3, -2, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 620*y + 10614 - 2509 + 17935 for y.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5 from -22996.335.\nAnswer: -22991.335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2*t**5 - 2 + (3 - 2 - 3)*(3*t**5 - 2*t**5 + 0*t**5) - 38 - 5 + 0*t**5 - t**5.\nAnswer: -5*t**5 - 43","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*h - 2 = -13*h - 5*s + 33, 0 = 3*h + 7*s - 71 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pudc when four letters picked without replacement from {u: 4, y: 1, p: 4, c: 1, d: 5}?\nAnswer: 2\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 + 34. Is 12 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*b*n**3*w + 2*b*n**3*y - 2*b*w - 2*n**3*w - n**2*w*y + 3*n*y + 9 wrt b.\nAnswer: 4*n**3*w + 2*n**3*y - 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 10:50 PM?\nAnswer: 6:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4*(0 - -3)\/(-3). Suppose -i + 6 = -l. Is -5\/8 < l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.8372 + 0.7372. What is the closest to 0 in 3\/305, y, -3\/7, 0.3?\nAnswer: 3\/305","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -18743, -73361, -163867, -290267, -452567, -650773, -884891, -1154927?\n\"Answer: -a**3 - 17938*a**2 - 797*a - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**6*g*g**(-2\/21)*g*g*(g**(1\/12))**(-4\/13) assuming g is positive.\nAnswer: g**(808\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**12\/u)\/(u\/((u*u**(5\/3))\/u)))\/(u**(-2\/21))**23 assuming u is positive.\nAnswer: u**(97\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 46 + 1?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -414\/13 greater than or equal to -32?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*l + 63 = 18 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -2*u - 2. Let b(d) = d**2 - 2*d - 6. What is the lowest common multiple of n(-2) and b(5)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15963, -31985, -48007, -64029, -80051?\nAnswer: -96073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 4*v - 2*v**2 - 4*v. Suppose -5*u = -23 + 3. Let i(t) = -2*t + u - 4. Determine r(i(a)).\nAnswer: -8*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*g - 22 + 17 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (-1 + -1 + (-38 - -30))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2908058782?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + -14. Let h be (-7)\/g + 3\/2. Suppose 0 = -4*z - 4, 4*z - 2 = -i + 1. Solve 3*n - n = m, 3*n = -h*m + i for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -497\/4, -5, 1\/4093.\nAnswer: -497\/4, -5, 1\/4093","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + 1*(16 - 27) + 464\/40. Let m(c) = -c - 2. Let h be m(-5). Factor -l*v**2 + 0 + 4\/5*v + 4\/5*v**h.\nAnswer: 4*v*(v - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = -18*y - z + 108, y - 149 + 108 = -4*z for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gzx when three letters picked without replacement from {g: 3, n: 3, z: 2, x: 3, t: 8}.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*-2*sqrt(153) - (sqrt(153)*-2*-4 + sqrt(153)))*-2)\/(sqrt(1089) + (3*sqrt(1089)*1 - sqrt(1089)) + 3*(sqrt(1089) + sqrt(1089)*2)).\nAnswer: 17*sqrt(17)\/66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0411467 rounded to four decimal places?\nAnswer: 0.0411","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -247?\nAnswer: -2\/247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 11:26 AM?\nAnswer: 3:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.03097653 + -174.39.\nAnswer: -174.35902347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.02 + -20.98. Let c = -39 + 65. Let q = c + u. Put -0.05, q, 2\/7 in descending order.\nAnswer: q, 2\/7, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence itt when three letters picked without replacement from {t: 5, i: 7}?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 - 6. Suppose s*j + 8 = j. What is the closest to -2 in 1, 2\/13, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 691, 636, 581?\n\"Answer: -55*p + 746","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1095856 is divided by 363075.\nAnswer: 6631","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 - 8*k - 10. Let o(w) = w. Let r(j) = d(j) + 3*o(j). Let a(g) be the first derivative of r(g). What is the remainder when 2 is divided by a(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 279\/62*(-13068)\/891.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -12473326 (base 8) to base 5\nAnswer: -1203023214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23 - 22. What is the highest common divisor of 3 and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (h**3 + 3*h - 3*h)*(-h + h - 3*h) - 3*h**3 + 3*h**3 - h**4 to c + y*h**2 + l*h + v*h**3 + m*h**4 and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 12257.17 millilitres?\nAnswer: 12.25717","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(76))**2 + sqrt(76) + -1.\nAnswer: 2*sqrt(19) + 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -818, -809, -788, -755?\n\"Answer: 6*l**2 - 9*l - 815","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -9592 and -40.\nAnswer: -9632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2. Let a(r) = 6*r + 24. What is s(a(p))?\nAnswer: 36*p**2 + 288*p + 576","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 395, 909, 1465, 2063?\nAnswer: 2703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-132)\/(-32))\/(-12*(-26)\/832)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3078 and 1710?\nAnswer: 15390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.14 times 0.7\nAnswer: 0.098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 20038?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/(-20))\/(6\/(-16)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4535948630?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 178 - 167. Solve -3*c - 2*f + 14 = 0, -c - 3*f = c - t for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 1.9, -145, -164, 0.4, -0.1 in decreasing order.\nAnswer: 6, 1.9, 0.4, -0.1, -145, -164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2 + 26*g + 60.\nAnswer: 2*(g + 3)*(g + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -3*y - 1, 3*a = 2*y + 6*a - 22. Suppose 0*z - z + y = 0. What are the prime factors of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 163?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 101.661 or 0.0507?\nAnswer: 101.661","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -25513965*v. Let w(d) = -d**2. Determine u(w(x)).\nAnswer: 25513965*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 5 = u. Let k be 1119\/(-1128)*2 + 2. Let x = k + -97\/188. Which is the second smallest value? (a) u (b) x (c) 0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2 - 11*j - 9. Let h be b(-9). Let p(x) = 7*x - x**2 - 2*x**2 - 2*x**2 - 2*x**2 - h + x**3. What is p(6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 + -2)*(-8)\/4. Let y be 0\/(9\/3 - i). Suppose 3*k = -y*k + 6. Is k smaller than 2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-8)*11316\/(-615).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of -r**2\/2 - 14*r + 82. What is j(-6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 7804?\nAnswer: -1\/7804","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*d - 3*d + 6*d + (-2 + 2 - 2*d)*(4 - 4 - 2) + 19*d - 21*d + 10 + 0.\nAnswer: d + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 64060867?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 13 - 35 = -4*j, 7*j = -2*z + 111 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + 5. Let c(q) = -q**2 - q + 16. What is the units digit of c(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -1997*x - 57921. Calculate t(-29).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the third derivative of 9\/80*p**6 + 0*p**3 + 0 + 2\/7*p**7 + 1\/8*p**4 + 1\/14*p**8 + 0*p + 8*p**2 - 13\/40*p**5. Solve g(h) = 0 for h.\nAnswer: -2, -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8513.106 to the nearest ten.\nAnswer: 8510","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 + 7 = -z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14.44 - 14.4. What is the closest to 0.2 in 2, v, -5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 353*h + 3 = 354*h. What is the closest to -1 in h, 3\/2, -0.9?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - (6 - 2)) + 3 - -8.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -21*v**3 + 51*v**2 - 128*v - 13. Let d(o) = -10*o**3 + 26*o**2 - 64*o - 6. Let f(b) = 13*d(b) - 6*m(b). Factor f(a).\nAnswer: -4*a*(a - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - 1.3. Let i = 14.2 + -14. Let v = 2.27 - 1.77. What is the biggest value in v, u, i?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-3)*i**(-2\/19) assuming i is positive.\nAnswer: i**(-59\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 609842.\nAnswer: 2, 73, 4177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2 and -2820463104309?\nAnswer: 2820463104311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 472, 924, 1376, 1828?\nAnswer: 2280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -27592.6528 + 26162.187992. Let w = 1528.4645 + z. Let o = w - 98. What is o rounded to five decimal places?\nAnswer: -0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 309 is divided by 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 209, 356, 601, 944, 1385, 1924, 2561?\n\"Answer: 49*s**2 + 160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 20*m - 835. Let p(l) = -10*l + 428. Determine -7*p(z) - 4*x(z).\nAnswer: -10*z + 344","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2 - 8*w - 1. Let c(s) = -s - 2. Let v be c(3). Determine d(v).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 - 44\/(-8))*2. Suppose y = 5*b - 8. What is the remainder when 8 is divided by (2\/b)\/((-16)\/(-120))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 9*h + 1. Calculate the remainder when p(3) is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, d: 17}. What is prob of sequence dfdf?\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.05881 - 1.2145. Let h = l - -0.07328. Let k = h + 0.082. Round k to 4 dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 15\/(-12) + (-1)\/(-4). Let o(w) = -16*w - 3. Calculate the remainder when 50 is divided by o(z).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*c + 7*c = -7*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.1 - 0.2. Let h = -459\/8 + 115\/2. Let z = 19\/40 + h. What is the third biggest value in z, -1\/5, u?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (1 + 2 + (2*sqrt(245) - sqrt(245)))**2.\nAnswer: 42*sqrt(5) + 252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3935?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 34\/(-16)*-2 + (-6)\/(-8). Suppose -u*z = -11*z + 18. Suppose -z = 7*a + 11. Which is greater: -10\/3 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -432 - -429.2. Put f, 2, -4 in decreasing order.\nAnswer: 2, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 3*a + 9. Let w(i) = i**3 + 10*i**2 + 8*i - 5. Let x be w(a). Suppose -23 = -x*j + 77. Is j a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = -5*w - 2*f - 2*f, -5*w + 5*f + 90 = 0. Is w a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -16310 - 4?\nAnswer: -16314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*h + 563 = -34*h + 3*f, h = -f + 142. Suppose -h = -5*t + 7*w - 3*w, -93 = -3*t - 3*w. Calculate the common denominator of t and -83\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11281471*f + 8*f**2 - 11281471*f.\nAnswer: 8*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-81 - (-27 + 17)) + (8 - 13) + 4.\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 368*n + 9 = 371*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 13 = -3*q, -2599 + 2640 = 5*b + 4*q for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(84) + sqrt(84)*2 + sqrt(84) + sqrt(84)))\/sqrt(12).\nAnswer: 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-16 - -12) + -1 + -30. Let v = p - -35. Suppose 4*a - 2*x - 24 = v, -3*a + x - 3 = -20. Solve 2*i - 13 = h, 0 = -i + a*h + 27 + 2 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1000001110100 (base 2) to base 9\nAnswer: -5700","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}