diff --git "a/data/dm_maths/full_data_1/10964_11255.jsonl" "b/data/dm_maths/full_data_1/10964_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10964_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is the units digit of 934?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1904 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: What is 59874968 divided by 8?\nAnswer: 7484371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -5*j - 2010. Let i(l) = -4*l. Determine c(i(z)).\nAnswer: 20*z - 2010","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + c - 3)*(-27*c**2 + 0*c**2 + 4*c**2 - 2*c**2 - 5*c + 5*c + (-c + 5*c - 3*c)*(-4*c + 5*c + 2*c)).\nAnswer: -22*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4.1, -2\/3, -0.2, 5 in descending order.\nAnswer: 5, -0.2, -2\/3, -4.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -35*w - 15. Let f(l) = 2378*l + 1015. Let s(c) = 6*f(c) + 406*u(c). Let t(b) = 15*b**2 - 7*b**2 - 6*b**2. What is s(t(m))?\nAnswer: 116*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes before 3:44 AM?\nAnswer: 5:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 260854, 1 in decreasing order.\nAnswer: 260854, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -120, 2, 3 in descending order.\nAnswer: 5, 3, 2, -120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 50 and 265?\nAnswer: 2650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 51992?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.05*-1244.894.\nAnswer: 62.2447","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -54 + (4 + 0 - -61)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 699445973?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 3, -1\/29, 5?\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1266917 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 114 and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 + 7)*((-i + i - 3*i)*(-2 + 4 + 1) - i + 0*i + 3*i).\nAnswer: -77*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, r: 1, z: 1, i: 1, q: 4}. What is prob of sequence zri?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and 157.92364?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 259 is divided by 127.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (9 - (-1 + 3 - (-8 - -7))).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 148\/(-252)*3 + 3. Let g = -83\/84 + b. Factor -1\/4 + 1\/4*k**2 + 1\/4*k**3 - g*k.\nAnswer: (k - 1)*(k + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3 + -8)\/((-3)\/51). Let i be -10 - -7 - -1*3. Suppose a - l = -i*a. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/13 (b) 2\/5 (c) -1 (d) 649\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1239495843 to the nearest integer?\nAnswer: 35206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 - 8*n**2 - 8*n + 3. Let b(h) = 2*h**2 + 34*h + 138. Let g be b(-9). Determine x(g).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 171*a + 1298 + 1605 = 167 for a.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1528, -1529, -1530, -1531, -1532?\n\"Answer: -s - 1527","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 5 (b) -2\/7 (c) -0.3 (d) -3 (e) 335\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -10*d. Let m(a) = -6*a**2 - 5*a + 5. Let l(i) = -5*i**2 - 4*i + 4. Let g(u) = 5*l(u) - 4*m(u). What is g(b(v))?\nAnswer: -100*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -10299 at most -10291?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129892 is divided by 8063.\nAnswer: 884","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 119 - 118. Let d(y) = 99*y**2 - 6*y + 1. List the prime factors of d(b).\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2836*i + 22008 = 3622*i for i.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-136)\/130 - -2*54\/90?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.069 + -181.031. Let n = b + 192. Let j = n + -8. Which is bigger: j or 0.46?\nAnswer: 0.46","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1418486472 a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 16 = 1. Let x be 0 + 2*(1 - 0). What is the second derivative of 4*l - 8*l**r - x*l + 5*l**3 wrt l?\nAnswer: -18*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 71211 divided by 10.\nAnswer: 71211\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of -h**6\/120 + 17*h**5\/60 - 3*h**4\/2 + 8*h**3 - 62*h**2. Does 8 divide a(14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9*(-7)\/84*8.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 89 = -3*j, 12*o = 2*j + 9*o + 56. Let g(h) = 3*h + 87. Let f be g(j). Which is bigger: -57\/11 or f?\nAnswer: -57\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 245*g**2*y**3 - 2*g**2*y**2 - 7*g**2*y + 11*g**2 + 6*g*y**3 + 44884*g*y**2 + y**2 wrt g?\nAnswer: 490*y**3 - 4*y**2 - 14*y + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 - b**2 - 2*b + 3. Let z be j(2). Suppose 3*g + z*c - 107 = -c, 4 = -c. Does 24 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1373\/102 + 2\/51. Suppose -3 - k*y**3 + 24*y**2 - 15\/2*y = 0. What is y?\nAnswer: -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 2*s = -22, -5*i - 3*s = -0*i + 23 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 48244558?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.3307 - -21.6693. What is the nearest to 1 in -0.5, -8, 1\/4, h?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 - 58*w - 2*w**4 - 11*w**3 + 110*w - 53*w + 7*w**3 as y*w**4 + a*w**3 + k*w + h*w**2 + o and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + j + 5*j + 4*j)*(4 - 4 + 2*j**3).\nAnswer: 20*j**4 - 2*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4156*q**3 - 1394*q**3 - 1379*q**3 - 1380*q**3 + 1 + 470*q**2 - 470*q**2 + 5.\nAnswer: 3*q**3 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123*z = 122*z - 2*d + 6, 0 = -2*z - d + 9 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * 1081.\nAnswer: 540.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 20936891?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**3 + 1730*n**2 + 75156*n - 157248.\nAnswer: 2*(n - 2)*(n + 48)*(n + 819)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from ddqqqqqddq?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -432 = -2*p - 2*y, 4*y + 266 = 5*p - 868. Is 5 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 627.1912nm to centimeters.\nAnswer: 0.00006271912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 36435*q + 36451. Give d(-1).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1\/7544 - 201797\/37720. Find the common denominator of a and -77\/30.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 - 8. Let x = m + -2.97. Let z = x - -0.97. Which is the third biggest value? (a) -2\/15 (b) 2\/7 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, v: 5, z: 11}. Give prob of picking 3 v and 1 h.\nAnswer: 1\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 - 8*r - 3. Let t(x) = x**2 - 7*x - 3. Let k(o) = 4*s(o) - 5*t(o). Suppose -132*b - 46 = -109*b. Calculate k(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34 divided by 66\nAnswer: 17\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 34652 * -0.86.\nAnswer: -29800.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 5, m: 9}. What is prob of picking 1 r and 2 m?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 775 - 774.9. What is the nearest to 8 in k, -2\/9, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/15*5535\/369\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2166319 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -451 + -38?\nAnswer: -489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01627 to 3 dps.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 3 = -5*y - g, -5 = -y + 2*g. Let j be (-3*(2 - 3))\/y. Let q be ((-4600000)\/j)\/((-2)\/6). Round q to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 12*u - 2*u - u + 0*u. Let a(f) = 4*f**2. Give l(a(j)).\nAnswer: 36*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -28, -10280, -4, 1, 5 in ascending order.\nAnswer: -10280, -28, -4, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 8579.34mg in nanograms?\nAnswer: 8579340000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 259853290?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33945 and 960.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2159173 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 32*b**2 - 5*b + 0*b - b**3 - 33*b**2 to v*b + u + g*b**2 + m*b**3 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 26708 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 323523882?\nAnswer: 2, 3, 11, 73, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -155.12, -20, 1\/3 in decreasing order.\nAnswer: 2, 1\/3, -20, -155.12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 51 + -51. Suppose j = 15*t - 7*t - 1144. Does 13 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 280505 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 - 13*x + 11. Let j be i(15). Let b = j + -19. What are the prime factors of b?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (895\/(-358))\/((30\/(-64))\/3).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = h + 1. Let q be 2\/2 + (4 - -8). Let r = q + h. What are the prime factors of r?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 162 = -u. Calculate the remainder when u is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**2 + 2*m**2 + 3*m**2)*(4*m**2 - 3*m**2 + 2*m**2 + 0*m**2 - 3*m**2 + m**2 + (-m + m + m**2)*(-4 + 3 + 2) + 4*m**2 + 3*m - 3*m).\nAnswer: 36*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 r when two letters picked without replacement from hrzzlllrllll?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -173 + 194. Suppose -30120 = -g*b - 3*b. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30 and 54.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -52, 0, -240 in decreasing order.\nAnswer: 4, 0, -52, -240","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (3 + -6 - -4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 100.3 and -0.5?\nAnswer: 100.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 + -9. Let b = 5.7 - -74.3. Let w = b - 84. What is the closest to 1\/3 in -1\/8, a, w?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-7)\/((-21)\/(-2)))\/((-32)\/1408). What is the biggest value in 2\/5, 4, -3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3639.\nAnswer: 3, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -136, -552, -1676, -3862, -7464, -12836?\nAnswer: -20332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6574339 and 8?\nAnswer: 52594712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (8 + -6)\/(-1 - 1496\/(-1488)) is divided by 74?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17323788 divided by 8661894?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 4*u = 0, 0 = 2*r - 5*r - 5*u - 11. Let z(j) be the first derivative of 5*j**3\/3 - j**2\/2 + j + 2. Let w(n) = -4*n**2. Give r*z(h) - 3*w(h).\nAnswer: 2*h**2 + 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -58628494.1270461 + -1.8729539. Let i = 58628498.20000018 + x. Let o = -2.2 + i. Round o to seven decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 49*x**3 + 10*x**2 - 7*x - 4. What is the ten thousands digit of z(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -13*o - 10. Let b be f(-5). Suppose 93 = 4*a - b. Let l = a - 37. Solve -2*x + 4*x = l for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 157 and -0.3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 3*q. Let x be f(4). Let u = 21 - x. Let i(s) = s**3 - 8*s**2 + 2*s - 10. Let a be i(8). What is the highest common divisor of a and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*i, 4*x - 2*i - 786 = i. Calculate the highest common factor of 15 and x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 - 6*y**2 + 5*y - 7. Let k = 6 - 4. Suppose -2*i + 2*d + 12 = 0, 4*i + k*d - 31 = -7. Is t(i) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 36 = -0*f. Suppose -36*u + 32*u = -180. Is u + f - 1*2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**2 + w**2 + 6*w**2)*(-w + 6*w - 2*w) - 3*w**3 + 2*w**3 + 2*w**3.\nAnswer: 28*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -243*n**3 - 155*n**2 - 22*n - 5. Let f(g) = 60*g**3 + 39*g**2 + 5*g + 1. What is -2*b(y) - 9*f(y)?\nAnswer: -54*y**3 - 41*y**2 - y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -161 - -49.3. Let v = b + 106. Let f = v - -0.3. Round f to zero dps.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*q**3 + 2497509*q**2 + 3085224*q + 587664 = 0.\nAnswer: -1, -4\/17, 48972","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**7\/i*i*i*i*i\/(i**7*i) assuming i is positive.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 17582154 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-18)\/(-2) + (6 - 6). Let x = 9 - k. Solve 8 = z + z + 5*v, x = -v + 2 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -187, -428, -667, -904, -1139, -1372, -1603?\n\"Answer: f**2 - 244*f + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 35 = -4*n, 166*a + 90 = 169*a - 5*n for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -733.7 - -38.\nAnswer: -695.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 - (0\/2 - -3) and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 6*m. Suppose m = h - 2. Let c = 2 + h. Solve 0 = 3*n - 2*q - 21, -c*n + 0*q + 3*q + 29 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21 - -110?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 829\/177433 or 1?\nAnswer: 829\/177433","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 5*i = 61, 0 = -c - 2*i + 3*i + 14. Let v = 485\/42 + -23\/2. Let m = v - 1\/3. Which is smaller: c or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 - -1. Let u(d) be the second derivative of d**4\/12 + d**3\/3 + 5*d**2\/2 - d. Is 11 a factor of u(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12 + 11102?\nAnswer: 11050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2183*d**3 + 2*d**2 + 2*d - 4. Does 59 divide m(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -85, -102, -119, -136, -153, -170?\nAnswer: -187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.1 + -0.1. Let w = -5 + 4.6. What is the closest to b in w, -0.1, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*s**4 + 4*s**4 - 7 + 4*s**4 wrt s.\nAnswer: 48*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1046, 929, 752, 533, 290?\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 15) to base 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12618 + 12623. Let r(m) = -2*m**3 + 9*m**2 + 7*m. Let l(c) = -3*c**3 + 24*c - 10*c - 3*c + 14*c**2. Give t*l(i) - 8*r(i).\nAnswer: i**3 - 2*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5676 + 5681. Let u be (6\/8)\/(-1)*-4. Solve -3*t - 7 = u*b - 7*t, n*b - 2*t = 7 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 2.21079 meters?\nAnswer: 2210.79","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 152*t + 8 = 156*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b + 11. Let l = -10 + 3. Let r be z(l). Suppose -r*w - 2*g = -10, -3*w - 4*g - 25 = -9*g. Solve -4*s = -w - 4 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24661 and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -254*d*h**3*i - 3*d*h**3 + 11*d*h**2*i + 10*d*h**2 - 63*d*h*i - d*h - 2*d - 6*h**3*i + 13*h**3 + h wrt h.\nAnswer: -1524*d*i - 18*d - 36*i + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/5 of a decade in years?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*c**3 + 6 + 0 - 6.\nAnswer: -16*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 8620, 22100, 40444, 63652?\n\"Answer: 2432*t**2 + 6184*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4136290?\nAnswer: 2, 5, 413629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.164073 decades in centuries?\nAnswer: 0.0164073","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 3*n**3 + 26*n**2 + 14*n - 8. Let p(a) = -2*a**3 - 17*a**2 - 9*a + 5. Let g(d) = 8*p(d) + 5*q(d). Determine g(-3).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -10*y - 12. Let u(v) = 9*v + 11. Let n(r) = -4*o(r) - 5*u(r). Let s(h) = 4*h + 7. Let w(f) = -2*n(f) - 3*s(f). What is the units digit of w(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*f**4 + f**2 + 7*f**4 + 4*f - 2850 + 2851 as q*f**3 + a + k*f**2 + y*f**4 + r*f and give y.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -3*g**2. Let f(b) = 5*b + 1. Let x be f(1). Let t(y) be the first derivative of -1 - x*y**3 - 3 + 8*y**3 - 2. Determine z(t(w)).\nAnswer: -108*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t**3 - 15*t**2 - 80*t - 60 = 0.\nAnswer: -2, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 2*o = -52, -4*m - 5*o - 3 - 57 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(5\/2)*g*g\/g**2)**(-7)\/((g**5*g)\/(g*g*g**(1\/5)))**(-35) assuming g is positive.\nAnswer: g**(217\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (10 + 5)*26\/3 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3595 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: Is 61494 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4455 and 792?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2 - 5*g - 7. Let t be m(7). Suppose 2*p - 1 = 9. Let w = t - p. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1480, -1461, -1420, -1345, -1224, -1045, -796, -465?\n\"Answer: 2*s**3 - s**2 + 8*s - 1489","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5513 is divided by 1150?\nAnswer: 913","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2580 and 300?\nAnswer: 12900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 32810 to the nearest 1000.\nAnswer: 33000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(1\/4)\/n)\/n**(-3)*(n\/(n\/n**(2\/7)))\/n*n*n**5\/n)\/((n**4*n)\/(n*n*n**7\/n))**(1\/13) assuming n is positive.\nAnswer: n**(2463\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21986 + 21986.0018337. Round b to four decimal places.\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2)*d*d*d**(-3)*d*d\/d**(-2\/9)*d\/(d*d**(-1)))**10 assuming d is positive.\nAnswer: d**(20\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 PM and 3:50 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 + 5*s. Let v(q) = q**2 + 3*q + 3*q + 5*q - 5*q. Let w(d) = 6*j(d) - 5*v(d). Let k(p) be the first derivative of p**3 - 2. Determine k(w(i)).\nAnswer: 3*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2343 = -107*w + 36*w. Calculate the remainder when 247 is divided by w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4 + (-65)\/(-10) - (-1)\/(-2). Solve 0 = -2*c - 12 + u for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 32172, 128955, 290346, 516345, 806952?\n\"Answer: 32304*v**2 - 129*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23 + 185. Suppose -m = 8*b - 11*b. Let j = b + 5. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2128512 is divided by 2031?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 0*f**2 + 2\/5*f**3 + 0*f + 2\/5*f**4 + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 3*x**2)*((0 + 1 - 3)*(-2 - 2 + 5) - 109 - 154 + 92)*(-x - 3*x + 8*x).\nAnswer: -2076*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 857514 or 1715027\/2?\nAnswer: 1715027\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*b**5 + 2980*b**4 - 1010*b**3 - 7960*b**2 - 3976*b = 0. What is b?\nAnswer: -497, -1, -2\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -38? (a) -0.03 (b) 0.1 (c) -0.01 (d) -13 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 27806b (base 13) to base 6\nAnswer: 32325134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*k + 4*l + 34 = 21*k + 20*k, -30*l = -2*k + 242 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 222116 divided by 111058\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -201*k**2 - 2*k. Let q(n) be the second derivative of 3*n**3\/2 - 2407*n. Determine m(q(h)).\nAnswer: -16281*h**2 - 18*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.5 (b) -0.1 (c) 6 (d) 144 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 5*j**3 - j. Let d be i(1). Let k be 0\/(1\/4*d). Solve -3*g - g + 12 = k for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 849445 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + h - 7 = 5*p, -h + 3*p = -3. Let v(x) = -x**2 - 4*x - 6. Let g be v(h). Which is the second biggest value? (a) -2 (b) 3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of 4*k**5\/5 - k**4\/12 - 35*k**3\/3 - 4726*k**2 + 6843*k. Differentiate d(z) with respect to z.\nAnswer: 48*z**2 - 2*z - 70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33 - (18 + (-2277)\/44).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q**(7\/5)*q))\/q)\/q)\/q**(3\/5)*q**(-12)*q*q\/q**(-11) assuming q is positive.\nAnswer: q**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the second derivative of l**4\/6 + l**3\/3 + 5*l**2\/2 + l. Let d be w(4). What is the greatest common factor of 9 and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1439 and 32381695.96.\nAnswer: 32380256.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t**(-4)*((t*(t\/(t**(1\/4)\/t))\/t)\/t)\/t*(t\/(t*t*t**(-14)))\/(t**(-6\/7)*t) assuming t is positive.\nAnswer: t**(269\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 0.05 (b) 1\/2995 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-4)\/30 + (-271)\/30 and 16\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = -2*l - 20, -s = -5*l + 2*l - 9 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and 0.33.\nAnswer: 0.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-663)\/1053*9 - (4\/3 + -1)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -2*p**3 - 75*p**2 - 33*p + 172. Let o be a(-37). Solve -64*n - 280 = -o*n for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(144)*-2 + sqrt(144))\/sqrt(9) - sqrt(16))\/(-2*sqrt(72)*1))**2.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - -31021?\nAnswer: 31025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 at least as big as -36511?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2685488376.\nAnswer: 2, 3, 53, 73, 28921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -6*q + 3. Determine l(-8).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 931 - 632. Let f = h + -300. Let n be -1*(6 + -1 + 0). Which is the nearest to f? (a) n (b) -1\/2 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**2 + f - 12. Give v(0).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -264376.1? (a) 0.2 (b) -17 (c) 5 (d) -1\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 3*q + 3. Let i(l) = 65*l + 65. Let m(p) = -2*i(p) + 45*u(p). Let y(h) = 26*h + 26. What is -16*m(g) + 3*y(g)?\nAnswer: -2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 11*m + 29. Find the common denominator of -115\/18 and m\/(-2) - (1 - (-52)\/(-96)).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22454207 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 26 - 14. Let o = -7 + u. Is o even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1656 + -1136. Do 521 and k have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 - 19*o + 38. Let l be s(18). Suppose -l = -2*r - 2*q, 5*q = 2*r - 33 - 1. Solve 0 = -t - 2*t - r for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wf when two letters picked without replacement from {w: 1, y: 1, k: 1, f: 1, b: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 314529232 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*w = 13*w - 48. Let s(b) = -b**3 - 24*b**2 + 4. Let d be s(w). Suppose 4*m - 4 = d. Solve k + 4*u - 1 = 0, k + m*u + 4 = 3 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 382993*w**3 + 15*w - 10501325?\nAnswer: 1148979*w**2 + 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, 7, 26, 53, 88, 131, 182?\nAnswer: 241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8.2 + 8. Let h = 41.2 - 38. Let f = 0.2 - h. What is the closest to 2 in 1, w, f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -384 + -31741?\nAnswer: -32125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -5*69*2\/(-10). Let i = l - 26. Calculate the remainder when i is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22 + 12. Let h = 1211.8 - 1212. Which is the third biggest value? (a) n (b) 0.5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 4*f**3 - 20*f**2 - 290*f - 25. What is g(-7)?\nAnswer: -347","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 - 13. Let l be (-3)\/(s*(-1)\/(-14)). Solve -l + 1 = 2*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -156 divided by 32619\nAnswer: -52\/10873","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 - 8*l**2 - 9*l - 8. Suppose 3*m + 2*v - 19 = 0, 3*m + 0*v - 5*v = 47. Calculate j(m).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44533 (base 6) in base 16?\nAnswer: -1869","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-498)\/40*1*(-5)\/(-18) and -35\/36?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.04, 52, 39, 49, -2\/7 in decreasing order.\nAnswer: 52, 49, 39, 0.04, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**3\/i*i**(2\/5)*i**(-6\/7)*((i*i\/(i**(1\/15)*i))\/i*i)\/i*i)\/(i\/(i\/(i*i\/i**(-2\/21)))*i*i*i\/i**(-1))**(-9\/8) assuming i is positive.\nAnswer: i**(31\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s**2 - 10*s**2 - 6*s + 4*s**2. Let j(r) = 4*r**2 + 5*r. Let u be 37\/(-7) - (-4)\/14. Suppose 0 = -35*v + 25 - 204 - 31. Determine u*y(k) + v*j(k).\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4090*c*g + 5*c + 41847*g with respect to c.\nAnswer: 4090*g + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + 10 + 5 + -88 + 4?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vovooovovvvoov. What is prob of sequence oo?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 3*q + 5. What is the tens digit of v(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26476 not equal to 26477?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 2 + 7)*((-2*k + k - 5*k)*(-3 + 1 - 6) - 12*k + 8*k + 7*k) as c*k + o and give c.\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1177252455?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*k**2 - 5*k**3 - 1 + 20*k - 18*k + 3*k**3 to s*k**2 + o*k**3 + q + t*k and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 160\/20*(-12)\/432?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(136\/51))\/(-2)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*w = 41*w - 46*w + 324. Solve -w*j = -16*a + 20*a - 4, 5*a - 29 = 3*j for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -58, -5, 1, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -4*m**2 - 39*m + 5. Let x(p) = 2*p**2 + 20*p - 3. Let q = -12428 + 12423. What is q*x(j) - 3*u(j)?\nAnswer: 2*j**2 + 17*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*f + 12*f - 43*f**2 - 594 - 52*f**2 + 100*f**2 to the form x*f + p*f**2 + a and give a.\nAnswer: -594","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 16*t + 5. Let y(k) = -9*k - 3. Let q(n) = -3*j(n) - 5*y(n). Calculate q(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.21 times -2\nAnswer: 0.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0\/(-18))\/(1 - 2\/1). Solve 4*v + d = -16 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 198349004.\nAnswer: 2, 7, 7083893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (-1 + 5) - 0 - 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 8\/12 + 33\/18\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a345 (base 12) in base 10?\nAnswer: 38501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*w - 474 = 558 for w.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/5 and -42\/89.\nAnswer: 445","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 - 20*s**2 + 9. Let h be a(20). Suppose 18 + 9 = h*w. Factor -3*k**2 + 3*k**w + 15*k + 2*k**3 + 28*k**2 - 5*k**4.\nAnswer: -5*k*(k - 3)*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = 2*g + 12, -p - 2*g + 0 = -12 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5300)\/(-1100) + 3\/(33\/2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 3*x + 21 = 0, 6*x - x = 5*z - 70. What is the highest common factor of z and 753?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, -18, -25?\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1660\/(-3320) + (-142)\/4?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aoaagaaygaggoaaayaa. What is prob of picking 2 o and 1 y?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1*2)\/((-2)\/2). Let m(r) = r - 4 - 13 + 1. Let w be m(12). Sort -1, w, t in decreasing order.\nAnswer: -1, t, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3846954 divided by 2\nAnswer: -1923477","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 5*m + 54. Is 17 a factor of (-1356)\/(-20) - 3\/m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s + 2*s + 3. Suppose 2*n = 9 + s. Suppose 250 = 5*x - 3*u, -u = n*x - 6*u - 260. List the prime factors of x.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**3 + 340*j**2 + 8988*j + 75852.\nAnswer: 4*(j + 21)**2*(j + 43)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 48 and 55197792.\nAnswer: 55197792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1189 * -5.\nAnswer: -5945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + -2 - (85 + -44 - 32) - -14.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 229053 a multiple of 363?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -3*x**3 - 2*x**2 + x - 2. Let k be g(-2). Let f = k - 14. Is f smaller than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from zexzeezeezezkexkzkz.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a kilometer in meters?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 345427\/39 + -8859. What is the common denominator of -58\/117 and x?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(-12\/5))\/j)\/j**16 assuming j is positive.\nAnswer: j**(-68\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 5*p - 82. Let n be b(-16). Let q be n\/(-297) + 30086\/(-22). What is q rounded to the nearest 10?\nAnswer: -1370","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 + 11*p**2 + 29*p - 28. What is d(13)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 66164 and 21406?\nAnswer: 727804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 156*x**3 - 184 wrt x.\nAnswer: 468*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 0.2, -1, 22 in descending order.\nAnswer: 22, 0.2, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 7, m: 6, y: 1, n: 4, g: 2}. What is prob of sequence ayna?\nAnswer: 7\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.68 + 1.33. Round t to 1 dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 324233?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 60 - 0?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -k**3*w**5 + 308*k**3*w**3 - 1771*k**3*w**2 wrt w.\nAnswer: -60*k**3*w**2 + 1848*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t - 5*t + 2*t. Let j(u) be the third derivative of -u**7\/1680 + u**5\/60 + u**2. Let r(n) be the third derivative of j(n). Calculate z(r(l)).\nAnswer: 6*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11a409 (base 15) to base 8.\nAnswer: -3161563","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4454 is divided by 99.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - t - 1)*(0 + 3 - 2)*(-5629 + 11241 - 5621)*(2 - 1 - 3)*((-4 + 0 + 2)*(-3 + 7 - 3) - 2 - 2 + 2) as o + r*t and give r.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 + 2*k**2 + 5*k - 4. Let f be g(3). Let i be (f + (-252)\/(-2))*-1. Let o = -14 - i. What are the prime factors of o?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u**4)\/u)\/(u**(1\/4)*u))**(-3) assuming u is positive.\nAnswer: u**(-33\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 0*i**2 + 3*i**2 - i + 3 - 93*i**2 + 5*i wrt i.\nAnswer: -180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 - (-505)\/(-560))\/((-15)\/90). Let m be (7\/(-5))\/(8\/(-5)). Let q = v + m. Put q, 5, 1\/4 in ascending order.\nAnswer: 1\/4, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 2*r - 10. Let q be -3 - (-75)\/10 - (-6)\/12. Suppose 4 = 2*h + 2*h - 4*n, -r*h - 3*n = -q. Calculate the smallest common multiple of h and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 179 + -172. Suppose -2*k - 3*k = -10. Let b be 1\/(-4)*40\/(-50). What is the second biggest value in k, b, v?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 - 17. Let s = 46 - 42. Which is the second biggest value? (a) -1\/10 (b) s (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -42*s**2. Let k(f) = 5*f**2. Determine k(t(a)).\nAnswer: 8820*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = 3*b - 0*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 4d (base 15) to base 14\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8627 + -8618. Solve -i*q - 497 = -434 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -330 + 618. Suppose -k = -4*a - 48. What is the remainder when (5\/15)\/(2\/a) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -4*a - 5 - 2, -4*i = 2*a + 10. Let r = 16 - 13. Suppose -4*j = -7*j + 24. Sort j, -2, i, r in increasing order.\nAnswer: -2, i, r, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3 from 0.051192.\nAnswer: -2.948808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of 4*x**4 + 5*x**2 + 10*x + 0 + 3\/2*x**3. Let u be h(10). Round u to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*b - 4*y, 6 = 5*y - 14. Suppose 2*s - 3 - b = 0. Solve -25 = -5*l, -s*g + 5*g - l = -3 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 17 = -4*q, 2*u + 18 = -2*q - 3*q. Suppose 2*f - 2*d - 140 + 138 = 0, 0 = 3*f - 5*d - 9. Sort f, u, 0 in descending order.\nAnswer: u, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -b**5 + 241*b**4 - 15839*b**3 + 417275*b**2 - 4507800*b + 16879500 = 0.\nAnswer: 10, 33, 155","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - 12. Let u be 0 - b\/3*2. Suppose 2*q + 1 = q - 4*k, u = 2*q + 5*k. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36 and 14004?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-78) - (183\/39 + -5)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.9786120028 + -468.9786190628. Let j = 464 + s. What is j rounded to six dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000004440896 rounded to six decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 - 9. Let w(c) = 2*c + 2. Let v(x) = 6*x + 4. Let z(g) = -v(g) + 2*w(g). Give z(d(q)).\nAnswer: -2*q**2 + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t**(-1\/5))**(-1\/38))**(3\/19))**(-30))**(-12\/17) assuming t is positive.\nAnswer: t**(108\/6137)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, -6, -15\/38, -2\/7 in decreasing order.\nAnswer: 0, -2\/7, -15\/38, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 7+5335\nAnswer: 5342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-16\/5)\/((k*k**(-45))\/k)*(k**(-2\/39))**(-3\/10) assuming k is positive.\nAnswer: k**(2718\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 164176.\nAnswer: 2, 31, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-28)\/(-273)*18\/(-24)\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(121) + sqrt(121)*-1*-2 + -2*(sqrt(121)*1 + sqrt(121)))*2)\/(-2*(-2*sqrt(121)*4)\/sqrt(11)))**2 + 1.\nAnswer: 75\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.5 + 0.1. What is the biggest value in -2, r, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -3\/4, 21\/5, -0.06, 2?\nAnswer: 21\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t + 14 = 3 + 39. Let d(m) = -17*m**3 - 2*m - 20. Let c(v) = -6*v**3 - v - 7. Give t*d(i) - 11*c(i).\nAnswer: -2*i**3 + 3*i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5049 is divided by 400?\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 37 and -0.22?\nAnswer: -8.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 f, and 1 v when three letters picked without replacement from {r: 1, f: 1, i: 1, v: 1, e: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1652, 1529, 1442, 1409, 1448?\n\"Answer: 3*l**3 - 144*l + 1793","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, -2\/5, -2\/19, 4.14.\nAnswer: -2\/5, -2\/13, -2\/19, 4.14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 517.6636nm to millimeters.\nAnswer: 0.0005176636","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10717?\nAnswer: 7, 1531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2725, 21919, 74173, 176065, 344173, 595075, 945349?\n\"Answer: 2763*h**3 - 48*h**2 - 3*h + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -30800 by -308.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-16)\/(-12)*24\/8. Differentiate -71*v**d - 112*v**2 + 112*v**2 + 50 wrt v.\nAnswer: -284*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 241*a - 243*a - 36 = 4*n, a = -3*n - 24 + 1 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 - 4*v + 2. Give w(3).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, t: 1, n: 1, j: 2}. What is prob of sequence ncj?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 7\/8 of a microgram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 + 14 + -12 + 5?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 258.432 from 13226906.\nAnswer: 13226647.568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of -v**5\/10 + v**4\/12 + 8*v. Let t be j(1). Let q be (t + 0)\/(3\/1). Which is the second biggest value? (a) -3 (b) q (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(17) - sqrt(85)\/sqrt(80)) + sqrt(1088)*1)**2 + ((3 + (sqrt(17) - sqrt(170)\/sqrt(10)))**2 - (sqrt(612) + 2)).\nAnswer: -62419\/8 - 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -5 + 25 + -16 + -66.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y - 43*y + 114159 = 26809. Calculate the remainder when y is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*y + 93*y = 78 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1570 to the power of 1\/2, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 12*u + 30 = 0. Calculate the remainder when 22 is divided by u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 9:29 PM?\nAnswer: 10:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 48, 96, 142, 186, 228?\n\"Answer: -k**2 + 51*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6011639 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(104)*2*-6*4*5)\/((sqrt(128) + 2*sqrt(128) - sqrt(32))\/sqrt(324)).\nAnswer: -2592*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*m**3 + m**5 - 4*m**3 + 3 - m**5 - 3 + (-3*m**3 - 7 + 7)*(2*m**2 - 4*m**2 + 10*m**2).\nAnswer: -24*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 281000 (b) -2\/5 (c) 0.208\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 29836 to the power of 1\/2, to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1692619?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1539163.31241 from 0.64.\nAnswer: 1539163.95241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1a + -4d?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, -53, -130, -259, -452, -721, -1078?\nAnswer: -1535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -953 >= -194?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/7, -1, 0.5, 2.2, -13\/4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 - -15. Suppose -26 = -5*q - b. Let j be q - (-3)\/(-2)*-2. Solve 6 = 4*s - 2*v, 3*s - 5*v = 4*s - j for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/(-20) - (-3)\/5. Let b = 6 + -2. Solve 3*w - 2*g = z, 5*w - b*g + 2 - 1 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2704 + 15?\nAnswer: -269a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -961 - -965. Let i be 10\/(-5) + 1\/1. Let r = i + 3. Sort b, r, 5 in decreasing order.\nAnswer: 5, b, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.03 - 2342008709.\nAnswer: -2342008709.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = -6435004*d + 6435001*d - 45, -2*d + 3*t + 27 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 271 greater than or equal to 271?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12461785?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a millennium in decades?\nAnswer: 1550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4448*c**2*g**3*p**2 - 6563*c**2*p**2 - c*g**2*p**2 - 6*g**3*p**2 - 2*g**2 wrt g?\nAnswer: 26688*c**2*p**2 - 36*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28701 to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 37691893?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5551229 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -57 times -54\nAnswer: 3078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 294230906?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, 7, 29, 71, 139?\nAnswer: 239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -6*t - 6. Let f(s) = -s - 1. Let j be (-2)\/(-9) + (5 - (-156)\/27). Determine j*f(p) - 2*r(p).\nAnswer: p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1*3\/(3\/(-67))*-1 is divided by 26.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -395*n - 3966*n + 393*n.\nAnswer: -3968*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000451315605 rounded to 7 decimal places?\nAnswer: 0.0000451","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 74484 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + -35?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 + -84 - -51 - -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q - 2 + 2)*(3*q + 2*q**2 - 3*q) + q**3 + 0*q**3 + 2*q**3 - 2*q**3 - q**3 - 2*q**3.\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 18089 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c + c + 3*c)*(-74 + 485 + 102).\nAnswer: 513*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 107623845.\nAnswer: 1\/107623845","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 327 - 327. Let o(d) be the first derivative of -d**3\/3 + 2*d - 1. What is the remainder when o(p) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58703 is divided by 149.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 AM and 3:59 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 - 51*s - 28082. Calculate g(-144).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2316.8943 - 0.4943. Let v = -2285.3712 + u. Let y = 31 - v. What is y rounded to three dps?\nAnswer: -0.029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 9, w: 7}. Give prob of picking 3 g.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 35, -2, -1\/6, 8, -8.\nAnswer: -8, -2, -1\/6, 8, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -850*d. Let f(v) = 3*v - 9151. Determine f(p(n)).\nAnswer: -2550*n - 9151","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 16 = 6*v - 4*v, 0 = -3*v - 3*g for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -18\/7 in 1\/4, 0.1, 165\/2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, 335409, 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -332 + 155.3. Let o = 177 + z. Which is the biggest value? (a) 3\/7 (b) -1\/5 (c) -7 (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 f when three letters picked without replacement from fhhffhfffhftffhhfhf?\nAnswer: 77\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(-1\/38))\/(b*(b\/(b**(-2\/7)\/b))\/b))\/(b*b**11)**(-39) assuming b is positive.\nAnswer: b**(124153\/266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18 + -27. Let j(z) = -z**3 - 10*z**2 - 9*z + 4. Let d be j(k). Let t = 9 + -7. Solve -s = -d + t for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v = b + 15*v - 26076, 2*b + v = 52191. What are the prime factors of b?\nAnswer: 3, 8699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwiatartidttitttaadt. What is prob of sequence iat?\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n. Suppose -t - c = -3*c - 1, 5*t + 3*c = 31. Suppose d - 60 = 3*o - 0*o, -3*o + t*d = 60. Let a(l) = 5*l. What is o*q(u) - 5*a(u)?\nAnswer: -5*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 - 1\/4*(-96)\/12. Suppose 4*x + 5*y - 6710 = 0, -4*y - 8367 = -5*x - 0*y. What is the third derivative of x - 1675 + 5*a**h + 25*a**5 - a**2 wrt a?\nAnswer: 1500*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 88 and 297.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 121795.5 centuries to years.\nAnswer: 12179550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6831.\nAnswer: 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + 1001110?\nAnswer: 1010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64579.\nAnswer: 64579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*h**2 + 3*h + 0 + 54*h**3 + 3*h**4 - 54*h**3 + 2 to the form t*h**2 + r + y*h**4 + s*h**3 + p*h and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1655 - -2591. Suppose 22*a = 18*a + h. What is a rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 3524?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (38*p - 119*p + 4 - 4)*(81 - 209 - 76).\nAnswer: 16524*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 183529 or 183537?\nAnswer: 183537","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/8)\/(9\/(-144)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -647\/2 in -11, -0.3, -1, 5\/3?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 i when three letters picked without replacement from hiiih.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -d - 22, 0 = -d + 2*b - 9 - 23. Let o = d + -45. Let q = 81 + o. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 95\/36 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15 * -0.1.\nAnswer: -1.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.59585 from 0.01361.\nAnswer: 1.60946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + -0.0000168. Round q to six decimal places.\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(((-79)\/(-316))\/(2\/(-16))*-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.09 - -0.21. Let a = 0.02 - s. Let v = -3 - -5. Which is smaller: a or v?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 + 6*f - 11. Let h(d) = -2*d + 4. Let s be h(6). Let a be u(s). Suppose 0 = -a*k + 9 + 26. What is the smallest common multiple of k and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f**(3\/2)*f\/(f*f*f**(-10)) assuming f is positive.\nAnswer: f**(23\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -x**2 + 21792*x = 0. Calculate x.\nAnswer: 0, 21792","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 47968 by 4.\nAnswer: 11992","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1056168 and 360?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 852, 1705, 2558, 3411?\nAnswer: 4264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (92\/(-16) + 5)*(-16)\/(-18).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 298 - 132. Let v = n + -833\/5. Which is the nearest to -1? (a) v (b) 2 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -7*u**2 - 8*u - 2. Let b(d) = -3*d**2 - d. Let z(f) = -16*f**2 - 5*f. Let t(m) = 11*b(m) - 2*z(m). Calculate l(h) - 6*t(h).\nAnswer: -h**2 - 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of 243*h**7\/14 + 121*h**4\/6 + 130*h. Find the third derivative of c(g) wrt g.\nAnswer: 43740*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1005 is divided by 72.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 14252 = -4*m + 14260, -2*y + 4*m - 38 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 556279.\nAnswer: -1\/556279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*((p**(-6)\/p)\/p)\/p*p**(-2\/23)*p**(2\/7)\/p**(-21) assuming p is positive.\nAnswer: p**(2125\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(24\/4)\/6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 164 and 4059.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.9, -0.7, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of -p**9\/15120 + p**5\/30 + p**4\/2 - 7*p. Let u(f) be the third derivative of l(f). What is the first derivative of u(t) wrt t?\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -5 + (8\/(-36))\/(8\/(-360)) + 2544995. Round j to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.7133149 days in weeks?\nAnswer: 0.6733307","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 2*z**3 - 32*z**2 - 11*z + 40. Is k(29) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence plol when four letters picked without replacement from lolllwpppww.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - (-13 + 17)) + 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o**3 + 6*o**3 + 15 + 9 + 25 + 120*o**2 + 90*o**2.\nAnswer: 3*o**3 + 210*o**2 + 49","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 11*x + 38. Let k be m(-3). Let t(v) = -48024*v + 48024*v - v**3 - 1 + v**2. Let i(g) = -4 + 2*g**3 - g**3 + 5*g**2 - 1. Determine k*t(b) - i(b).\nAnswer: -6*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -118 + 129. What is the remainder when 26 is divided by w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -2*f**3 + 14*f**2 + 466*f + 123. Determine a(-12).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c. Let a(t) = 13*t**2 + 5*t + 5. Let v(o) = -84*o**2 - 32*o - 32. Let f(d) = 32*a(d) + 5*v(d). Give j(f(m)).\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -440.290857 to one decimal place.\nAnswer: -440.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*u + 19 = 3*c - 108*u, c + 22 = 5*u for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 2*d + 5 = 0, 0 = 3*y + 2*y - 2*d + 3 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 5*j + 5 = 0, 11 + 4 = 5*d - 5*j. Solve -2*r = -3*b + 1, -d*b + 2*r - 5 = 3*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 939471 is divided by 93869.\nAnswer: 781","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/(-150)*(-12)\/(-9)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/2395 or -1?\nAnswer: -2\/2395","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/(-10) + 60\/(-75). Solve z = -5*s - 0*s + 10 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -424760 - 141500 = -20*o. What are the prime factors of o?\nAnswer: 23, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (490\/65)\/(-7)*-2 + -2?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.1 + -0.1. Let g be -2 + -1 + (-343)\/(-119). Which is the closest to -1? (a) -3 (b) t (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l**2 - 2*l**2 + 67*l**3 + 2*l**2.\nAnswer: 67*l**3 + l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 815 + -1?\nAnswer: 814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (252\/882)\/((-10)\/14 - -1). Put -1, -4606, h, -3 in decreasing order.\nAnswer: h, -1, -3, -4606","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 652935781 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -335 and 0.2?\nAnswer: 335.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uun when three letters picked without replacement from uun.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 22101202333 (base 4) to base 3\nAnswer: 12001211112021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 5:15 AM?\nAnswer: 6:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-56)\/5)\/4 - (-3 + 1)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 - 10. Let p = 0.06 - -0.04. Is p bigger than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2111205250 + -13?\nAnswer: 2111205233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of i**2*u**2 + 1646*i**2 - 479*i*u - 2*u**2 wrt u?\nAnswer: 2*i**2*u - 479*i - 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 4 + -5 + -13?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -7, 331, 209, 3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 2*r**5\/15 - 8*r**4\/3 + 256*r**3\/15 - 716*r**2\/15 + 298*r\/5 - 132\/5 = 0.\nAnswer: 1, 2, 3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = -5*d - 60. Let c = 21 - d. Suppose 0*t = -3*t + c. What are the prime factors of t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, 5, 4 in ascending order.\nAnswer: -3, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -86*d + 4462. Calculate b(52).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*z - 11*z. Suppose d - 4*y - 19 = z, 0*d = -d - 4*y + 11. Let t be (-20)\/d*(1 - 4). Solve -t = 3*m + 5 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1218, -1222, -1226, -1230, -1234, -1238?\nAnswer: -1242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 158 + -156. Let k be g\/50*10*5. Let v(d) = -d**3 + 5*d**2 + 6*d + 2. Let u be v(6). Solve u*s + k*s = 20 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.9 - -23.9. Let s = k - 34. Let a = s + 13.99999994. Round a to seven dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-3 + (-2070)\/4)*(-100)\/15?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-42 - 7 + 158)*((2 + 1 - 1)*(0*m + 2*m - 4*m) - 8 - m + 8 - 6*m - 16 + 16).\nAnswer: -1199*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 136687299 and 209290.\nAnswer: 1366872990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9164.1221 + 9165. Round d to 2 decimal places.\nAnswer: 0.88","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 10) in base 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/10 of a kilogram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9336 by 24.\nAnswer: 389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -61691*-1.3\nAnswer: 80198.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -230*i**3 - 17*i**2 + 34*i. Let s(n) = 77*n**3 + 6*n**2 - 12*n. Determine -17*s(q) - 6*u(q).\nAnswer: 71*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in three tenths of a milligram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74652?\nAnswer: 2, 3, 6221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 7 = -p + 5*j, 4*j - 12 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -29 + 29. Suppose 3*o = -2*r - 0*r - 24, -2*o + 2*r - 6 = n. Find the common denominator of (4\/o)\/(16\/924) and 23\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 240\/80 + 1452\/(-164) - -6\nAnswer: 6\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*m = 44*m. Let g(r) be the third derivative of 0 + 1\/3*r**4 + 8\/3*r**3 + 6*r**2 + m*r + 1\/60*r**5. Solve g(a) = 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 + 12. Suppose -c - z = -4, l*c + 4*z - 7 = 14. Suppose 0*b + 4*b = -2*r + 54, -3*b - c*r + 37 = 0. List the prime factors of b.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 39 + -20. Let b = x + -11. Is b a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1943174 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -174080 + 8084 = -58*q. Does 140 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 + 1504*g**2 + 45674*g + 16203. Calculate h(-1473).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4075\/3 - 1358. Let y = 78 - 309\/4. What is the biggest value in -0.4, y, j, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3207544013 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4 - (3 + 1) - -2. Let h be (-2 + 1 - -2)*0. Find z, given that 0*z + h + 1\/2*z**4 + 2*z**3 + g*z**2 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/4 or -215465109?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of 14*a**3 + 23\/2*a**2 - 2*a - 30. What is the second derivative of j(z) wrt z?\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i + 11. Suppose s = -4 - 4. Let c be u(s). Solve -c*g + 4*q - 31 = 0, 1 = 4*g + 3*q + 9 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a gram in milligrams?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 173783718?\nAnswer: 2, 3, 29, 71, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.07443 millennia in months?\nAnswer: 168893.16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from tqtttthhttsqttqstqt.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 200 - 199. Calculate the highest common factor of 19 and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/28 + 4\/14. Let x be (-22)\/(-55) - 2\/(-10). What is the second biggest value in x, z, 2\/11?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 - -7. Suppose -k*w = -2*u + 902, 3*u - u - w - 900 = 0. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -918*o = -914*o + 3*d + 20, o + d + 5 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 5, c: 2, z: 3, r: 1, u: 1, w: 1}. What is prob of sequence zclr?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - 41)\/(((-2)\/4)\/(-22 - (-2064)\/96)).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -67 + 739\/11. What is the closest to 0.1 in j, 1\/3, 0.4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -k - 9. Let v be (-2365)\/2310 - (-96)\/112. What is the closest to 2 in -22, k, -2, v?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20012 (base 3) to base 9\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**4\/5 - 495628*q**3\/5 - 8188204104*q**2 - 225456741134820*q + 225464929438050.\nAnswer: -2*(q - 1)*(q + 82605)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 265 + -3973\/15. Let r = 0.4 - 0.3. What is the nearest to r in a, 2\/11, -5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12.9973 - 13. Let s = 3 - 3. Let b = s + h. Round b to three dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119*x - 101*x - 6912 = 0. Does 24 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -133 + -16603?\nAnswer: -20036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - 3. Let o = -6 - -17. Let l = y + o. What is the second biggest value in -2\/9, -1\/2, l?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minus 148059?\nAnswer: -147749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 117 - 57. Let t = 133 - j. Find the common denominator of ((-2)\/10)\/(2\/(-59)) and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/6*(42\/(-35))\/1?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 728094 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - r = -0*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 8 + 2)*(x - 2*x - x) + (-2 - 5 + 4)*(0 + 0 - 3*x) + (2 - 4 + 0)*(x - 3*x + 3*x).\nAnswer: -9*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 28*i - 227. Is 5 a factor of c(25)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-125*t - 8*t**2 + 125*t)*((-t - t + 4*t)*(-2*t + 2*t - 2*t) - 2*t**2 - 1 + 1) to o*t**2 + i*t**4 + g*t**3 + k*t + j and give i.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1793 and 407.\nAnswer: -1386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (64\/(-224))\/((-4)\/14). Solve -w = i - 4 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -3*q - 15. Suppose -4*p = -6 + 50. Is y(p) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/(-10))\/((-6)\/(-180)). Suppose g - 6*o + 18 = -2*o, -4*g + 4*o - q = 0. Is 6 a factor of 20 + -2 - (-1 + g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 7, n: 9}. What is prob of sequence ini?\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 159592421 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 121701?\nAnswer: 3, 113, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -17*z**3 - 2*z + 1. Let d be x(1). Calculate the common denominator of 21\/20 and (-1605)\/d*9\/210.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 595038982 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 2*t + 40. Let j be f(-18). Let b(u) = -u**2 + 5*u. Calculate b(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 * -8501\nAnswer: 25503","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 4*s**3 - 980*s**2 + 66700*s - 793500 = 0.\nAnswer: 15, 115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/2692250 and 149\/8010?\nAnswer: 24230250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2864365 and 105.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 26 - 59 - 783 + 85*v + 37*v - 159. Let q be m(8). Let c(h) = -h**2 - 5*h - 1. Let a be c(-4). Solve q + 5 = 3*d + a*i, 5*d + 10 = -i for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-40)\/45*(-108)\/(-24)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -13532787.1 rounded to the nearest 1000?\nAnswer: -13533000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4626, -4616, -4592, -4548, -4478, -4376, -4236?\nAnswer: -4052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2842782680 to the power of 1\/5, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 19.9228?\nAnswer: -17.9228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 6 + 7 = -2*c, -3*s = 2*c - 11 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4124 - 4634 + 1463)*(2*d - d + d) as h*d + j and give h.\nAnswer: -14590","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6246.8 - 6247. What is the closest to -3 in -2\/11, p, -5, 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9802 and 7961486.\nAnswer: 754","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-9\/7)*(y*y\/(y*y*(y*y*(((y*y**(-11\/2)\/y*y)\/y)\/y)\/y*y)\/y*y*y))\/y)**(-3\/16) assuming y is positive.\nAnswer: y**(-51\/224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 2*j = 32. Let y = 47 - j. Solve 0*w + 3*w = -y for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -2*y**2 - 67*y + 84. Is 6 a factor of d(-24)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 2*o**2. Let k(p) = -4*p + 10. Let z be k(3). Let l(u) = u**3 + u**2. Determine z*l(c) + q(c).\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -327\/3855823 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 + 6. Suppose 4*o = 12, u = -w - w + 3*o + 3. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.04 and 559732.\nAnswer: -22389.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5535005 to the power of 1\/3, to the nearest integer?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.36689 to three decimal places.\nAnswer: -0.367","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -210 (base 6) to base 5\nAnswer: -303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23223.\nAnswer: 3, 7741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7606, 30435, 68484, 121753, 190242?\nAnswer: 273951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -35186000 rounded to the nearest 100000?\nAnswer: -35200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.55 - 0.15. Let w = 1.3 - z. What is the biggest value in w, -1\/9, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -11*m - 7. Let f(o) = 28*o**3 - o**2. Let y be f(1). Let w = y + -34. List the prime factors of g(w).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -0*n - 12. Suppose 0 = -4*l + 62 + 18. Calculate the remainder when l is divided by ((-33)\/15)\/(n\/15).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 less than -43\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 35*l**2 + 632 - 639 + 402*l - 402*l to c + s*l + x*l**2 and give c.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15.1 - -15.09999829. What is z rounded to seven decimal places?\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1204 and 158284.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 59*q + 125 = -64*q, -3*q + 3 = 0. Solve -3*k = -h + 130 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -181 equal to -220?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 157796652?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 189 a factor of 575505?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -s**4\/5 + 1869*s**3\/5 - 851442*s**2\/5 - 20503604*s\/5 - 37586472\/5 = 0.\nAnswer: -21, -2, 946","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4810 (base 15) to base 2\nAnswer: 11101111010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.9 - -0.1. Let m = -0.5 - -0.6. Let y = 0.2 + m. Which is the third smallest value? (a) 7 (b) n (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(637) + sqrt(637) + -2 + -4)**2 - (-1 + (sqrt(637) + -1 - sqrt(637))**2 + -4*(sqrt(637) - (sqrt(637) + sqrt(637) + 0))).\nAnswer: -252*sqrt(13) + 2612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26492 - 29162 = -1327*d - 70347 - 120661 for d.\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 2:10 PM?\nAnswer: 10:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.4 (b) 2\/19 (c) 0.5 (d) 15854\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-4*(4*sqrt(833)*-1 + sqrt(833)) + -5*(4 + -3 + sqrt(833) + sqrt(833)))*6)**2.\nAnswer: -181440*sqrt(17) + 4350672","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -14 (b) -0.1 (c) 1\/8 (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*i + 6*i**2 - 2*i - 5*i**2 + 6*i.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i**3 - 2*i**2 + 2*i**2)*(3*i - 3*i - 2*i**2 + (i + 2 - 2)*(-6*i - 2*i + 2*i)).\nAnswer: -24*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46472?\nAnswer: 2, 37, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000001001000000 - 0?\nAnswer: -1000001001000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1762a640 - -18?\nAnswer: -1762a623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (((sqrt(143)*-4*-5 - sqrt(143)) + sqrt(143))*1)\/((sqrt(176) + sqrt(176)*-4 + sqrt(176) + sqrt(176))*3) + 1.\nAnswer: -5*sqrt(13)\/3 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -6*r - 9. Let u(x) = 4*x + 8. Give -3*o(s) - 4*u(s).\nAnswer: 2*s - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -273*c + 108 = -291*c for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/306 and -49\/30.\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -2*c**3 + 2*c. Let i(p) = 11*p**3 + 8*p**2 - 15*p + 6. Let l(d) = -i(d) - 6*o(d). What is l(8)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the third derivative of 3*j**4\/8 - 6*j**2. Let m(l) = 3*l - 1. Let b be m(1). Let k(g) = -3*g**2 + b*g**2 + 5*g - 5*g. Calculate f(k(d)).\nAnswer: -9*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -113, -97, -81, -65?\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7797 is divided by 1937.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 2 = m, -j = 3*m + j - 28. Find the second derivative of -m*u**2 - 14*u + 6*u + u**2 wrt u.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 20\/16*144\/60. Suppose 5*x = i + 30, 6*i - 18 = -3*x + 2*i. Solve x = f - 2*k, -3*f - g*k = k + 12 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-161)\/((-252448)\/(-42)))\/((-18)\/(-14)).\nAnswer: -1\/48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 122 a factor of 15332877?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 35*a**2 - 7*a + 13. Let h(g) = -61*g**2 + 13*g - 25. Let m(x) = -7*d(x) - 4*h(x). Determine m(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 3 b when four letters picked without replacement from {j: 2, v: 7, b: 3}.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + 3410334?\nAnswer: 3410341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 862, 3564, 8264, 15124, 24306, 35972, 50284?\n\"Answer: 27*k**3 + 837*k**2 + 2*k - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(204) - (sqrt(204) - (sqrt(204)*2*2 - sqrt(204)))) + 1*(sqrt(204) - (-1*sqrt(204) + sqrt(204))))\/(-6*sqrt(48)*-2).\nAnswer: sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**4\/2 - 8247*j**3\/2 - 322636*j**2.\nAnswer: -j**2*(j + 79)*(j + 8168)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 687491 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sdis when four letters picked without replacement from {s: 2, d: 5, i: 4}?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, -3, 9, -1142, 40 in ascending order.\nAnswer: -1142, -4, -3, 3, 9, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-23502)\/1398369 - (-2 - 24744\/(-476))?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 - 205*v - 4388. Determine l(-24).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 978 and 58.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, r: 5, i: 2, m: 1, u: 1}. Give prob of sequence rm.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a + a - 4*a)*(-3 + 1 + 1) + 14*a + 5*a - 7*a.\nAnswer: 13*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (3 + 1 + 0) - -4?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000105152 rounded to 5 decimal places?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 - 4\/1 - -1. Suppose -5*v + 5*p - 55 = 0, l*v = 5*v - p + 71. Let r be (2\/(-12))\/((-2)\/v). Which is the third biggest value? (a) r (b) 4 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38140 = -27*t - 38248 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3449 or -3450?\nAnswer: -3450","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0169233mg to kilograms.\nAnswer: 0.0000000169233","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 3 + (4 - 8 - 7)*(1 + 0 + 0))*(-4*c + 4*c + 4*c**4).\nAnswer: -40*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/7 (b) 663 (c) -3634\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 9 - 4)*((-4*z + z + 4*z)*(-5*z**4 + 5*z**4 - 2*z**4) - 2*z**5 + 2*z**5 - 2*z**5).\nAnswer: 28*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 741688 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - -9. What is the biggest value in q, 2\/9, -1\/2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -166290 + 1330319\/8. Let g = 2968\/15 + -198. Put g, -7\/3, b, 1 in descending order.\nAnswer: 1, b, g, -7\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9493.\nAnswer: 11, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*v - 0*v. Suppose -f - 2*z - v - 2 = 0, -3*f + 5*z - 45 = 0. Let a = f - -15. Is a a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4886645\/153 + -31939. Let q = 4\/51 - u. Find l such that 2\/9*l**2 + q + 4\/9*l = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 222131 is divided by 8524.\nAnswer: 507","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + (-8 - (-3 + -2)) - 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3\/8 - 3*g**2\/8 - 429*g\/8 - 3025\/8.\nAnswer: (g - 25)*(g + 11)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 75615720 and 16560.\nAnswer: 2760","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17366 (base 8) to base 5.\nAnswer: 223201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 AM and 12:00 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**4)**(-2)\/(v**(-20)*v*v**(-4\/5)\/v) assuming v is positive.\nAnswer: v**(54\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y = -12*y + 114. Let q = 61 - 26. Suppose 3*u = -2*u + q. What is the remainder when y is divided by u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + i - 30 = 0. Let y be (i\/3 + -2)*-1. Suppose m + 3*m = y. Sort m, -0.4, -3 in descending order.\nAnswer: m, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nbb when three letters picked without replacement from annainbbta.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, m: 1, j: 2, z: 1}. Give prob of sequence vjv.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4023 is divided by 264.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l*l\/(l\/l**3))\/l)\/(l*l*l*l\/(l**(-4\/15)*l*l)*l))\/(((l**(-1)*l)\/l*l)\/((l\/(l\/((l\/l**(-6))\/l))*l)\/l)) assuming l is positive.\nAnswer: l**(101\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2473421?\nAnswer: 2473421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**4 + 833514*l**3 + 5001192*l**2.\nAnswer: -3*l**2*(l - 277844)*(l + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 + 6*n**2 - 3*n - 10. Let k be j(5). Suppose 4*p - 36 = -k*p. Calculate the lowest common multiple of p and 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a25 - -6b2ac?\nAnswer: 6c004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 10490000 rounded to the nearest 1000000?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-2\/37)*o*o**8*(o*o**(2\/67))\/o*o*o*(o\/o**(-6\/13))\/o assuming o is positive.\nAnswer: o**(368591\/32227)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-8) + (-3627)\/(-26). Let c = g - 140. Let r = 0.1 - -0.3. What is the closest to 1 in c, -4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3\/2 - 485904*o**2 + 118051348608*o.\nAnswer: o*(o - 485904)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m + 4*m = m. Suppose -5 = 5*q + 10. Sort q, -4, m in descending order.\nAnswer: m, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -30, 5, -2, -5, 1 in increasing order.\nAnswer: -30, -5, -2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 5 (b) -3314 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -5*t**2 + 4*t + 46. Determine q(4).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.927993 rounded to 3 dps?\nAnswer: -0.928","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 2*x + 19 = -1, 2*x = 4*p - 104. Let n = p - 33. Let l = -0.9 - -1. What is the closest to l in -2\/11, n, 1?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4733848 and 728.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 12 - 145904?\nAnswer: -1458d2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -285 rounded to the nearest ten?\nAnswer: -290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4 + (-1)\/5*22 + 0. What is the nearest to k in -1\/6, -2, 0.2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 505 is divided by 36?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 6*f + 9*f + 0*f + f**2 - 6. Let v be (-10 + (-666)\/(-45))\/((-17)\/(-10) + -2). Let t be g(v). Solve -10 = -t*y + 5*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 325, 3147, 10819, 25765, 50409, 87175, 138487, 206769?\n\"Answer: 404*j**3 + j**2 - 9*j - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1536\/121920*(-10)\/(-4). What is the second smallest value in 5, 1\/4, c?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - 3 - (-10 + 2) - (1 + 6).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 636214 to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.2 - 1. Let i = o - 1. Which is the second smallest value? (a) 3\/5 (b) 0 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -27*c - 8. Solve -z = -m - 3*m - c, -3*m + 28 = 5*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 781 (base 14) in base 2?\nAnswer: 10111001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*k**5 - 3058*k**4 - 519172*k**3 - 29300520*k**2 + 10519600*k + 39304000 = 0 for k.\nAnswer: -170, -1, 4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the second derivative of 29*l**5\/40 - l**4\/12 - 29*l**3\/3 + 2*l**2 - 46*l - 5. Factor j(y).\nAnswer: (y - 2)*(y + 2)*(29*y - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.106168 to 3 decimal places.\nAnswer: 0.106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25406 is divided by 3127?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/456764 and -145\/6468.\nAnswer: 9592044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a tonne in kilograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -62, -76, -78, -62, -22, 48?\nAnswer: 154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 352\/66 - (-2)\/(-6) - 5. Suppose s + 3*y - 3 = g, 0*y - 2*y = 5*s - 2. Solve s = -6*q + 6 + 6 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 10 = l. Suppose 0 - l = -5*r. What is the third derivative of -2*d**5 - 6*d**2 + 2*d**2 + r*d**2 wrt d?\nAnswer: -120*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -4*d + 40, 4*d + 4*c - 43 = -3. Suppose h = d*h + 18. Let q(z) = 2*z**3 - 2*z - 3. Give q(h).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*m - 2*x + 273 = -3*m + 259, -28 = -3*m - 3*m - 4*x for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 13\/(12\/120*10)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 5*a - 17. Suppose 6 = 4*b - 10. What is the remainder when x(b) is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 895 is divided by 353.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15964405.\nAnswer: 5, 3192881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 3066759?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a microsecond in nanoseconds?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -142.6 times 98?\nAnswer: -13974.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) -17 (c) 8 (d) 2 (e) 177.4 (f) -7 (g) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(5\/4))**(-26)\/(s*s\/(s*s**(-6\/13)*s*s)*s)**(12\/7) assuming s is positive.\nAnswer: s**(-6059\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - 1\/(-3)) + (-802676)\/(-588). Let d = r + -1359. What is the common denominator of 54\/5 and d?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41321.6 rounded to the nearest 100?\nAnswer: -41300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -12 + -13653?\nAnswer: -13665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + -11306520?\nAnswer: -11306523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3910*g - 3*n - 36 = 3937*g, -8*g - 20 = 4*n for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -2*f**2 + 40*f - 110. Determine o(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1107325 is divided by 369084?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-187)\/(3927\/1120) - (-1 - 35).\nAnswer: -52\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -464 - 736. Suppose -f = 7*x - 3*x. Let z be -132000*x\/18*8. Round z to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-nine quarters of a litre?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -3 + sqrt(200)*-1)**2 - ((sqrt(128) + -1)*-4)**2.\nAnswer: -1863 + 236*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**9\/t)\/((t**(7\/4)\/t)\/t*t*t)*(t\/(t\/((t\/((t*t\/((t**(-37)*t)\/t)*t)\/t))\/t)))**(-17\/4) assuming t is positive.\nAnswer: t**172","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 425 - 217. What is the highest common factor of 156 and u?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -3*f + 6. Let j(q) = 2*q - 4. Let o(z) = -8*j(z) - 5*s(z). Let p(g) = 1. Suppose -4*w + 0*w = -4*x - 8, 5*w + 2*x - 3 = 0. Determine w*o(k) - 3*p(k).\nAnswer: -k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 4 (b) 5 (c) 2 (d) -1\/2 (e) -4\/2435\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3862684668)\/602*(-1)\/4 - (-3)\/42 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2133 (base 6) in base 8?\nAnswer: -751","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 12\/4*-1*(2 + -6). Suppose -3*f - 3*l + 36 = -q, -5*l + 67 = 4*f. Calculate the greatest common factor of 143 and f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzi when three letters picked without replacement from ziwgziizzzwzizwzgzz?\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (s**2 + 1 - 1)*(-20064 + 4*s**2 - 20067 + 40152 + 21*s) to g + y*s + i*s**4 + c*s**3 + j*s**2 and give j.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4 + -8)*2\/4. Let n = r - 2. Let g = 14 + -14.5. Which is the second biggest value? (a) g (b) n (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*r**2*w**2 - 117709*r**2 - 5*r*w**2 + 218*w**2 - 214619*w wrt r?\nAnswer: -4*r*w**2 - 235418*r - 5*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from culurnkc. Give prob of picking 2 c, 1 u, and 1 r.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -56*k**2 + 1530*k - 1. Give t(27).\nAnswer: 485","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 + 3. Let h = 9.9 - f. Let k = -0.61 + 0.11. Put h, k, -5 in ascending order.\nAnswer: -5, k, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3130160 at most -3130167?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2545 to the power of 1\/2, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 - -126682.6644475?\nAnswer: 126751.6644475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 8729?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 14*p + 1. Determine v(-1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35522 - 81264 - 32285 = -2259*k - 4495 for k.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -45*n + 41*n - x - 10, -4*n - 3*x - 22 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 112*t**3 + 2*t**2 - 11*t - 18. Give v(-2).\nAnswer: -884","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 771*a + 43*a + 11556 - 33589 = 76461 for a.\nAnswer: 121","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20249, 20414, 20587, 20768?\nAnswer: 20957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 - 1)*(5*k**3 + k**4 - 5*k**3).\nAnswer: -5*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2. Let q(k) = -7*k**2 + 2471*k - 4962*k + 2484*k + 3. Determine q(n(c)).\nAnswer: -7*c**4 - 7*c**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, -7 in descending order.\nAnswer: 5, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -47 - -46.59. Let z = f + 0.01. Sort -4, z, 0 in decreasing order.\nAnswer: 0, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-301)\/(-2)*(12\/(-10))\/(20\/((-8200)\/(-861)))\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t + 7. Calculate the lowest common multiple of 2 and v(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -1 + 2 + -2 + 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 + 0)\/(5\/((-15)\/(-6))). Solve 4*g - 10*g = o for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence da when two letters picked without replacement from cdadca.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c\/c**(-4\/9)))**(-22)*c**(1\/8)\/c*c*c**(2\/5) assuming c is positive.\nAnswer: c**(11629\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25100127, -25100133, -25100155, -25100199, -25100271, -25100377?\nAnswer: -25100523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 2*u - 11. Suppose -6*f = -43 + u. Solve -m + 28 = -4*j + m, 0 = -f*j + 5*m - 45 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lax when three letters picked without replacement from ooamooaxlll.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 8901618, 17803236, 26704854, 35606472, 44508090, 53409708?\n\"Answer: 8901618*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k. Let a(w) be the third derivative of 7*w**4\/24 + 3*w**2. What is m(a(n))?\nAnswer: -7*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -13*n**2 + 9*n + 40. Let v(z) = 3*z**2 - 2*z - 10. Let i(o) = -2*d(o) - 9*v(o). List the prime factors of i(0).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 + 24*o**2 + 49*o - 58. Let a be h(-22). Let c = -168 - a. Is 9\/8 not equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 11:16 PM?\nAnswer: 8:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 46641433 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1097461*j - 284892 wrt j?\nAnswer: -1097461","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 56*y - 8.\nAnswer: -56*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2718, 10929, 24616, 43779, 68418, 98533?\n\"Answer: 2738*v**2 - 3*v - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00037014 to five dps.\nAnswer: -0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*c - 9*c = 5*b + 5275, 3*c - 2*b = 3170. Is 26 a factor of 4 + (16\/(-88) - c\/(-22))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 27\/5 of a hour?\nAnswer: 19440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 242*f - 137123 = -142931 for f.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 314 a factor of 18859154?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -985*f**3 + 1646*f + 491*f**3 - 3298*f + 1652*f + 488*f**3.\nAnswer: -6*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -152617674 * -4\nAnswer: 610470696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6326 - 6313. Let u(y) = 5*y - 68. Calculate u(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*d)*(57 - 94 + 153)*(-2 - 2*d + 2).\nAnswer: -464*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - ((-5 - (-4 - 0)) + 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 21*d**2 - 463*d + 20. Give y(22).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + 30\/9 + (-18)\/(-27).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -49*b*d**4 - 2*b*d**3 - 18*b*d**2 - b*d - 2*d**4 wrt d?\nAnswer: -1176*b*d - 12*b - 48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-117 - -113)*(157975\/(-17550) + 9)?\nAnswer: 2\/351","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/7, -40\/23, 3\/5, -0.1 in descending order.\nAnswer: 3\/5, -0.1, -1\/7, -40\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 (base 5) in base 6?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*-41.\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 + 5*u**2 - 3*u - 15. Let s be p(-5). Let b = 17 + -24. Sort s, b, -4, 0.4 in descending order.\nAnswer: 0.4, s, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 789 + 7\nAnswer: 796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the second derivative of y**4\/6 + y**3\/3 - y**2 - 2*y. What is the units digit of u(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -8, 4\/177?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 3*r - 2*h + 2, 6 = 3*r - 3*h. Suppose 5*x - 25 = 0, 3*f - r*x - 39 = x. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 4*h**2. Let i = -28 + 31. Let x(m) be the first derivative of -2\/3*m**i + 0*m - 3 + 0*m**2. Calculate c(x(j)).\nAnswer: 16*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 AM and 7:38 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.67 + 4.33. Which is the smallest value? (a) 0.9 (b) y (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 167*o**3 + 2*o**4 + 107*o**3 + o - 12 - 8 + 22 in the form i + a*o + h*o**4 + q*o**2 + y*o**3 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 - 2 = 5*d. Suppose 24*w - 30*w = 0. Solve -v + 2*b - 7 = w, d*v - v + 3*b = 21 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24682 divided by -12341\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-three fifths of a litre in millilitres?\nAnswer: 14600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: c347 (base 13) to base 2\nAnswer: 110100100110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01192 to 4 decimal places.\nAnswer: -0.0119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**3 + 14373*l**2 - 1370943*l + 32372895.\nAnswer: 3*(l - 47)**2*(l + 4885)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 60731 a composite number?\nAnswer: True","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 {r: 1, q: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9120 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**2 + 4*t - 2. Let n be w(3). Let c(j) = -j**2. Let y be c(n). Let r(x) = -x**3 + x + 1. Calculate r(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 3*z + 24 = 0, 2*z = -288*h + 283*h - 37 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4 - 0) + (0 - 1). Let v(j) = 4*j**2 - 3*j + 3. Let r(z) = -z**2 + z - 1. Let q(u) = o*r(u) + v(u). Let y(w) = 49*w - 104*w + 54*w. What is y(q(x))?\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-95 - -5)*2\/4. Let h = x - -72. Suppose 54 = 7*m - w, -m + 27 = -3*w + 5. Calculate the remainder when h is divided by m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 - z + 1. Let i(y) be the third derivative of 44*y**2 + 2 + 1\/12*y**5 - 1\/8*y**4 + 0*y + y**3. What is -i(j) + 4*m(j)?\nAnswer: -j**2 - j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2495*h + 5184.\nAnswer: -2495","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -98*a + 3. Is b(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 13*r - 12*r - 492, 5*j + 3*r = 486. What is the greatest common factor of j and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -43711 - -43700. Let q = 2.9 - -0.1. Which is the nearest to 0? (a) q (b) 5 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 2*c + v + 16, -v = 5*c - 6. Let m be -3 - 12\/(-3)*c. Suppose 2*w = -4*r + 32, -3*w - m*r + 16 = -27. Is 6 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 PM and 6:37 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from rrkkkk.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 29917 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 42444251 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -108 divided by 36.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, p: 4}. Give prob of sequence uupu.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 10 = 5*v, -2803*v + 2805*v - 94 = -3*i - 97 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2856133*i**5 - 2*i**2 - 612414 wrt i?\nAnswer: 171367980*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = -14, 186 = -2*d + v + 187 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16 - 531. Let v be (-774 - 1)*(2 + -2 - -1). Let o = n - v. Does 40 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, -4, 36, -2\/21, -44?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25663688?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 h, and 1 x when three letters picked without replacement from hssxihiiewsw.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 - -1109218?\nAnswer: 1109217.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the third derivative of q**5\/60 - q**4\/24 - q**3\/6 + q**2. Let z(l) = -l**3 + 7*l**2 - 6*l + 3. Let r be z(6). What is t(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2147\/4 + -9661\/18. What is the nearest to -1\/4 in 0.9, 0, n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(105)\/sqrt(5))\/(-1*sqrt(175)).\nAnswer: 6*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21 by 5.\nAnswer: 21\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of p**8\/112 + p**7\/35 - 2*p**2 + 2*p. Factor h(n).\nAnswer: 3*n**4*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 348067*2.\nAnswer: 696134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-2\/3)\/(v*v**(-1\/21))*(v\/(v\/(v\/(v*(v\/((v\/v**(-5))\/v)*v)\/v))))**(1\/20) assuming v is positive.\nAnswer: v**(-149\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/36*3*(-3)\/(-5)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -618*z. Let k(x) = -2*x + 210496 + 3*x - 210496. Determine k(h(w)).\nAnswer: -618*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 12857*h**2 + 57*h + 61187263 wrt h?\nAnswer: 25714*h + 57","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 941 is divided by 138.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(275) - (sqrt(275) - (sqrt(275) - sqrt(275)*-2))**2) + sqrt(275) + sqrt(275) + 2*sqrt(88)\/sqrt(2).\nAnswer: -1097 + 19*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 12387766 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 92351.23 rounded to the nearest 10000?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 72, 209, 444, 807, 1328, 2037, 2964, 4139?\nAnswer: 5592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(114) + 1*sqrt(114)*6 - sqrt(114)) + sqrt(114) - sqrt(114) - -4*((sqrt(114)*-2 - sqrt(114)) + sqrt(114)))*-2)\/(-2*1*-4*sqrt(96)))**2.\nAnswer: 19\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(612) + (-1 + sqrt(612) + sqrt(612) - sqrt(612)) + 1 + -6*(sqrt(153) + 1))**2.\nAnswer: 72*sqrt(17) + 648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5716371*z**4 - 2405378 wrt z?\nAnswer: -22865484*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3687\/2 + -1844. Let m = -23\/66 - -1\/66. Which is the nearest to m? (a) 2\/3 (b) 2\/5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 47, 103, -1\/7, -1, 10?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102522402 (base 6) to base 11.\nAnswer: -102a690","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11330 (base 4) to base 9.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aararaar. Give prob of picking 3 a and 1 r.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from {j: 2, e: 9}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 2952 = -0*r. Differentiate 51*a**4 + 971 - 16*a**4 - r wrt a.\nAnswer: 140*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + 137?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n - 1. Suppose -s = -h + 2*s + 17, 0 = 4*s + 20. Let v(k) = -5*k + 5*k - k - 1. Let z = -6 + 3. Determine h*v(b) + z*d(b).\nAnswer: b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of y**3\/3 - 131*y + 2. Let q(f) = -2303*f**2. Determine j(q(p)).\nAnswer: -4606*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 277 divide 950431043?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xfexxxxxxxxxd. What is prob of picking 3 x and 1 e?\nAnswer: 24\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 28115 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 37148*v**6 - 2*v**3 - 2*v**2 - 531888?\nAnswer: 4457760*v**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 - (-3 - -15 - (10 + 9 - 14)).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*s + 0 + 0)*(5 + 0 + 0) + 0*s + 2*s - 4*s)*(-24 + 9 - 15 + 2*s).\nAnswer: 16*s**2 - 240*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes after 8:54 PM?\nAnswer: 10:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000010692 rounded to 6 dps?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 4*o**3 - 2073*o**2 + 4655*o - 5466. Calculate h(516).\nAnswer: 210","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*n + 1987 = 1767 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c**3\/3 - 337*c**2\/3 - 556*c\/3 + 92 = 0.\nAnswer: -2, 2\/5, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 138919?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1642 a multiple of 106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 847\/8 + -106. Let q = 3\/8 + c. What is the nearest to q in 0.2, 2\/3, 0.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 7535?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - 15\/(75\/(-10)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -254496*x**2. Let t(u) = 75*u**2. What is t(z(v))?\nAnswer: 4857616051200*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 177413939 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5417632 to the power of 1\/2, to the nearest integer?\nAnswer: 2328","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 3*b - 5. Let c be x(5). Let r = c - 6. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, h: 6, y: 3, a: 2, c: 1, v: 1}. Give prob of sequence hcuy.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1846856799?\nAnswer: 3, 7001, 29311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/9 + (-22)\/9*3?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 47 + (0 - -1 - (16 + -4) - -2)\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4*-1 + 20*(-4)\/(-10). Let p(v) = v**2 - 8*v + 15. Let t be p(i). Which is greater: t or 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -309, -1229, -2763, -4911, -7673, -11049?\nAnswer: -15039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/(420\/8) + (-12)\/15?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -7, -2, 54551, -9, 1 in decreasing order.\nAnswer: 54551, 1, 0, -2, -7, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 675593 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1252924666 a multiple of 95?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 - -8. Suppose 4*g + 5*p = -17 + 74, -2*g + 6 = -2*p. Let r(k) = 5*k**2 - 2*k**2 + k**3 + 4 - g - 4*k. Determine r(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, x: 1, q: 1, r: 3, i: 1}. What is prob of sequence ir?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43 + 8 - 73 + 22 + 1186*n.\nAnswer: 1186*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x - 1 + 1)*(3530*x - 3506745 + 3506745)*(-3 - x + 3).\nAnswer: 7060*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - 21020210010?\nAnswer: -21020210021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2100111 (base 3) in base 11?\nAnswer: -1319","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 equal to 7955\/93?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38505 - 38505 + 25*b.\nAnswer: 25*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 2*p - 1511 = 0, -2*f + 15*p - 14*p + 1009 = 0. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 90\/25*(31 - 1). What is the highest common factor of s and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 2*k - 10 = 0, -3*k + 32 = 2*i + 46. Sort 0.07, i, 9, 0.3.\nAnswer: i, 0.07, 0.3, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -250 - -1753\/7. What is the nearest to -1\/2 in r, -0.06, 4?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*c**3*d**3*y - 1053842*c**3 + 2*c**2 - 5*c*d**3 - 709016*c*d*y wrt c.\nAnswer: -36*d**3*y - 6323052","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -335486 and 5?\nAnswer: -1677430","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5679?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (13\/(-4) - -1)\/((-9)\/24). Let l be (-8 + o)\/(3\/9*1). Let k(z) = 8*z**2 + 7*z - 5. Let x(m) = -7*m**2 - 6*m + 4. Give l*k(n) - 7*x(n).\nAnswer: n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/32 and -43\/13460.\nAnswer: 107680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121 = -4*y + 21. Let u be ((-2)\/5)\/(5\/y). Suppose 0 = -x - 3*n - 11, -u*x - 5*n = 17 + 2. Which is bigger: x or -5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 322? (a) 0 (b) -0.03 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2297 = -7*x + 4*x - 5*v, x = 4*v + 743. Suppose 1471 = -p - x. What is p rounded to the nearest one hundred?\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (6*(sqrt(152)*1 + sqrt(152)))\/(sqrt(1152)*1))**2 - (-2*2*sqrt(1216) + 2*(sqrt(1216)*-1 - sqrt(1216)) + sqrt(1216))*5.\nAnswer: 20 + 278*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -z**4 + 3*z**4 + z**4 - 2 + 2 - z**4 + (-53*z - 9*z - 161*z)*(-3*z + 3*z + z**3) as i*z**3 + f + g*z**2 + k*z**4 + n*z and give k.\nAnswer: -221","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, 31, 52, 73, 94, 115?\nAnswer: 136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 168 is divided by 62.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -6828 + 3337.8811?\nAnswer: -3490.1189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-500)\/24*-2)\/(170\/(-30)) - -7. Which is the fourth biggest value? (a) 5 (b) k (c) -5 (d) -4\/3 (e) -0.64\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**15*((b\/b**(-2\/7)*b)\/b)\/b)**(3\/8) assuming b is positive.\nAnswer: b**(-36\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 - 31*h**2 - 23*h + 224. Calculate b(-30).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -269.7*472.\nAnswer: -127298.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 828 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 74103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 8*v - 31. Let y be h(4). Put 2\/9, y, -5, 2\/7 in decreasing order.\nAnswer: y, 2\/7, 2\/9, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -220*k**2 + 220*k**2 + 2*k**3.\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -4*g**2 + 18*g + 4. Let j = 2 - 0. Let n(p) = p**j + 3*p - 4*p - 1 - 5*p. Let c(f) = 8*n(f) + 3*q(f). Factor c(u).\nAnswer: -2*(u - 2)*(2*u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 684235187 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 u when two letters picked without replacement from {p: 2, m: 1, u: 1, z: 1, n: 3, v: 5}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1031304 (base 6) in base 4?\nAnswer: 30122320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 1)*(-2*z + 0*z + z)*(-123 + 178 - 120).\nAnswer: -130*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 15270149 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, x: 7, f: 2, y: 4, q: 1}. Give prob of picking 1 f and 1 y.\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of -b**4\/4 + 7*b**3\/3 - b**2\/2 + 9*b - 22. What are the prime factors of j(5)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 6*p**2 + 258*p - 259. What is r(-45)?\nAnswer: 281","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, r: 2, p: 1}. What is prob of sequence vp?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -147 (base 16) in base 7?\nAnswer: -645","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = -r + 82 - 59, 31 = -2*r + 3*u for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11604.4 - 11602. Sort y, -8, -7 in descending order.\nAnswer: y, -7, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7109, -8, -5, 13, -2 in decreasing order.\nAnswer: 13, -2, -5, -8, -7109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6\/(-15))\/(-2*(-39)\/(-6)). Let l(o) be the first derivative of -3\/26*o**4 + v*o**5 + 38 + 0*o + 2\/13*o**3 - 1\/13*o**2. Solve l(y) = 0 for y.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 630035.2 tonnes in kilograms?\nAnswer: 630035200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 3, -2\/29, -3\/4?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6486 divided by 5.\nAnswer: -6486\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 + 5*c**2 - c + 4. Let f be r(5). Let p = 601\/4 - 151. What is the nearest to -9 in p, -3, f?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -6077*r - 1343100. Calculate p(-221).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 816 + 8 = 6*g, -4*g - 2*i + 540 = 0. Let l(m) = 16*m**2 + 2*m - 1. Let x be l(1). Calculate the highest common divisor of g and x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j + 4. Let a = 12 - 12. Let l be o(a). Solve -1\/4*n**l + 0*n**3 + 0 + 1\/4*n**2 + 0*n = 0 for n.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/29, 114, 1\/16, -0.5 in increasing order.\nAnswer: -0.5, -1\/29, 1\/16, 114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 3*k - 10, 49 - 9 = 4*k + 4*n. Suppose -2*d - 3*d + 91 = 4*w, -2*w = 5*d - 83. Let c = -5 + d. Calculate the lowest common multiple of k and c.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -846 + 852. Calculate the least common multiple of t and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(5) + sqrt(10)\/sqrt(2) + 3)**2*6*-5 - 1*((sqrt(80) - 1*sqrt(80))**2*2 + 0).\nAnswer: 1080*sqrt(5) + 2610","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 - -13. Calculate the remainder when 96 is divided by -5*29\/(-5) + f\/1.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2843 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23572 is divided by 7826?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*f**3 + 43*f**3 + 3*f**3.\nAnswer: 37*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-30)\/18)\/(3\/9))\/(40\/(-40)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2075 and 5425?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 3*s - 0*s + 12, -v = s + 2. Let g = 0 - -2. What is c in -v*c**2 - g*c**3 + 6*c - 7*c**3 + 6 - 3*c**2 + 3*c = 0?\nAnswer: -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 64, 1\/5, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -20285*d + 491. Is r(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in -1, -3, 0.07, -0.047, 5, -2?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d**3 + 86018*d**2 + 1792325100*d - 2489719538664 = 0. What is d?\nAnswer: -43662, 1306","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + 105253?\nAnswer: 105255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -23293, -46607, -69933, -93277, -116645, -140043?\n\"Answer: -p**3 - 23307*p + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -43579? (a) 7 (b) -3 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 125\/3888 and 59\/2430?\nAnswer: 19440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -4958947.19 to the nearest 100000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 1:22 PM?\nAnswer: 7:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -5*g - 150. Let d be t(-28). Let a(b) = -b**3 - 3*b**2 - 7*b + 6. What is the tens digit of a(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 9, n: 2, a: 1, k: 4}. What is prob of sequence na?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 not equal to 13\/1267?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -138*c - 23. Give n(-1).\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.7 - 0.3. Let n = -0.6 - j. Let v be (1 + 2)\/(3 - 2). Which is the nearest to -0.1? (a) v (b) n (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 3 + sqrt(1053) + sqrt(1053) - sqrt(1053) - (4*sqrt(1053) + 2 - sqrt(1053)))**2.\nAnswer: -72*sqrt(13) + 4216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 + 11*p + 3. Calculate q(-5).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3597081437?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112 = -6*n + 230. Does 19 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5436 is divided by 85.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/7*((-3094)\/609 - -5). Are 1 and y nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -4 + 199*u - 198*u + 6 + 3*u**3. Let a(c) = c**3 + 1. Give -4*a(l) + 2*t(l).\nAnswer: 2*l**3 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the first derivative of 41 + 1\/2*d**2 - 7*d. Calculate p(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**2 - 123. Let c(j) be the first derivative of 4*j**3\/3 + 194. Give f(c(p)).\nAnswer: -16*p**4 - 123","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 256, 520, 798, 1096, 1420?\nAnswer: 1776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 0.3, -1\/3, 5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -272259, -544206, -816153, -1088100, -1360047, -1631994?\nAnswer: -1903941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.41461 from -302.\nAnswer: -301.58539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7046 + -4673. Suppose -2*f + 5*t + g = 6*t, f = -t + 1185. List the prime factors of f.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the third derivative of o**8\/3360 + o**7\/840 - o**6\/180 - o**5\/120 + o**4\/24 - 10*o**2. Let j(b) be the second derivative of a(b). What is j(-3)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79722673?\nAnswer: 17, 311, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1388, -2558, -3728?\nAnswer: -4898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3801\/29 or 131?\nAnswer: 3801\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 3*i. Suppose -6 = 3*p + p + 2*n, -5*p + 2*n = 3. Let w be b(p). Sort 4, w, 1.\nAnswer: w, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 - 7*d**2 + 1219*d + 7617. Determine k(-6).\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1269429 is divided by 8877.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -3*h**5\/7 + 5*h**4 - 45*h**3\/7 - 55*h**2\/7 + 48*h\/7 + 20\/7 = 0.\nAnswer: -1, -1\/3, 1, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: a4 (base 12) to base 14\nAnswer: 8c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -83826*o - 4442775. What is t(-53)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/3)*y\/(y**23*y))\/(y**41\/(y*y**(-19))) assuming y is positive.\nAnswer: y**(-245\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*t - 5. Suppose -4*w - t = 5*u - 34, 4*w - 28 = -4*u. Let k be (-5)\/((-20)\/u) - -6. Solve -2*g - k = -1 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/15 and -79\/7527?\nAnswer: 37635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of -33*r**4\/2 - 34*r**3\/3 - 48. Find the third derivative of z(t) wrt t.\nAnswer: -396","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-2 + (-3*(-1 + sqrt(17) + -1) + -3)**2).\nAnswer: -320 + 36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 11*d + 292. Let b be c(-26). Let v be 28\/b*627\/22. What is the greatest common divisor of 28 and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.298 - 0.002. Which is the smallest value? (a) q (b) -2 (c) -0.1 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15414 and 6606.\nAnswer: 46242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 66484 + -34693. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 2, -22, 1\/12?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 4*b**5 - 40*b**3 + 80*b**2 - 60*b + 16 = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 16330*j - 48991. What is o(3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.10688 rounded to three decimal places?\nAnswer: 0.107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12599 - 12598. Which is the nearest to 30? (a) -3\/2 (b) t (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 114449920, 114449926, 114449936, 114449950, 114449968, 114449990?\n\"Answer: 2*c**2 + 114449918","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -6*r**3 - 2*r**2 + r + 1. Let l be z(2). Let d = -39 - l. Is d even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 5*c = -2142, -5*s + c - 3662 = -995. Suppose 6*m - m = -5115. Let o = m - s. What is o rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000034823615 to six dps.\nAnswer: 0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 8546, 8283, 8020, 7757, 7494, 7231?\n\"Answer: -263*u + 8809","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 25 in -1\/3, 0.3, 2, 0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 112176 and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/4*8 - 1336336\/208320. Let i be (-624)\/2170 - 4\/(-14). Let s = x + i. What is the common denominator of s and -17\/24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 2*v + 34 = 0, -v + 77 = 5*x + 2*v. What is the least common multiple of 7 and x?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22337, 22351, 22373, 22403, 22441, 22487?\nAnswer: 22541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnnnnnnnnnnnznnnzn. Give prob of picking 3 n.\nAnswer: 40\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - -259212?\nAnswer: 259208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5625 = 63458*m - 63413*m for m.\nAnswer: -125","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2112, 2223, 2334, 2445, 2556?\n\"Answer: 111*h + 2001","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 507391*s**2 - 348099 wrt s?\nAnswer: 1014782*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 PM and 7:13 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1827*i - 1824*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20 - -23. Suppose -2*r + 2 + 6 = 4*z, 4*z = 3*r - 22. Suppose 0 = 2*v - 0*v - r. Solve -t + 4*o = -11, h*t - 4*t = v*o + 3 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -44*x + 2551. Let f be l(58). Sort -2, -5, -4, 12, f in descending order.\nAnswer: 12, f, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 3*r**2 + 18*r - 6. Suppose h - 4*y = -y, -9 = 3*y. Is k(h) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -37*g**2 - 2*g + 134*g**2 + 166 - 97*g**2 + 2*g**3 to y*g**2 + j + f*g**3 + x*g and give j.\nAnswer: 166","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20583185, 82332753, 185248699, 329331023, 514579725?\nAnswer: 740994805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 0*u + 4*u = -563, 4*f + 5*u + 2274 = 0. Which is smaller: -570 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*h*r + 2*h - 9*r**4 - 107 with respect to r.\nAnswer: -3*h - 36*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 320*m + 5695. Calculate the remainder when b(-16) is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f**(-2\/7)*f**(2\/113) assuming f is positive.\nAnswer: f**(579\/791)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, m: 1, o: 4}. What is prob of picking 3 h?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 940 is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15230*g**2*n**3*o**2 - 5*g**2*n**3*o + 2*g**2*n + g**2*o**2 - 2*g*n + 580*n*o wrt o.\nAnswer: -30460*g**2*n**3 + 2*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of 411*m**2\/2 + 335*m + 465. What is the first derivative of b(c) wrt c?\nAnswer: 411","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.06 times 1565609\nAnswer: -93936.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 - 3*w**2 + 8*w + 4. Let a be u(-5). Suppose -2*v - a = -46. Solve -4*h - 5*o = v, 3*o + 4 = 3*h - 4*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -13*j + 1. Let h be o(-1). Let q(n) = -n**2 - 7*n - 12. Let p be q(-7). Let y be (-340)\/p - 2\/6. What is the highest common factor of y and h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 45 - 49. Sort 1\/2, n, -0.2, 2\/7 in ascending order.\nAnswer: n, -0.2, 2\/7, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 12*n**3 + 6*n**2 - 9*n + 3. Let f(x) = -5*x**3 - 3*x**2 + 5*x - 2. Determine -7*f(s) - 3*p(s).\nAnswer: -s**3 + 3*s**2 - 8*s + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2135, 2134, 2133, 2132?\nAnswer: 2131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -223561, -2, -3 in decreasing order.\nAnswer: -2, -3, -223561","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 3*f - 4, 2*i - f + 2 = -10. Let t(g) = g**3 + 11*g**2 + 20*g - 15. Let n be t(i). What is the highest common divisor of 136 and n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7*4*(-294)\/(-1176)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 350 divide 669132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j + 15. Let t(k) be the first derivative of k - 6156. Give -3*t(s) + v(s).\nAnswer: s + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -8372 - -476?\nAnswer: -7785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 36*c + 36 + 16*c**3 - 3*c**2 - 17*c**3 + 13*c**2. Let d be z(13). Let o = -23 - -44. Sort d, o, 2 in decreasing order.\nAnswer: o, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8.5 + 8.423. Let o = v - -0.06. Let u = -0.227 - o. What is u rounded to one dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate n**2*u**2 + 2*n**2 - 865*n*u**2 - 3*u**2 - 281 wrt n.\nAnswer: 2*n*u**2 + 4*n - 865*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 153*m**2 + 418 - 418 as t*m**2 + d*m + v and give t.\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k - 2*k + k)*(283*k**2 + 277*k**2 + 275*k**2 - 29063*k - 1112*k**2 + 280*k**2).\nAnswer: -3*k**3 + 29063*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 6925\/55 + -7 + (-30)\/(-330) + (-24)\/4\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 19*g**3*v**2 + g**2*v**3 + 2*v**3 - 25*v wrt g?\nAnswer: 57*g**2*v**2 + 2*g*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1351229.648 + 617?\nAnswer: -1350612.648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26 + 31)*(-3)\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**2 + 0*q**2 + 5*q**2)*(82 + 427 + 1408 + 109 + 1660) + 0 + q**2 + 0.\nAnswer: 14745*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -5 - 8*n - 4 + 2 + 0*n**2 + 2*n**2. Let m be r(7). What is the second derivative of 18*u**2 - m*u**2 + 16*u + 10*u**2 + 6*u wrt u?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 + 17*j**2 - 4*j + 192. What is v(17)?\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-129)\/(-12)*3 - 3. Let h = d + -31. Is h >= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lx when two letters picked without replacement from xalzozxc.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 11:44 PM?\nAnswer: 8:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6 - (-88)\/(-20))\/(12\/45). Suppose 0 = -4*s + 494 - 30. Suppose -s - 286 = -b*f. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -149 + 287. Is i a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -667*f + 614*f + 538712 = -569094. What are the prime factors of f?\nAnswer: 2, 7, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9*(-550)\/2178*(-2)\/5\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -2 + -2 + -1 + 5?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 - 28*y - 82. Let b be v(-26). Let d = -31 - b. Which is greater: 3\/64 or d?\nAnswer: 3\/64","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*w - 61*w + 14*w = 2*w + 384 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -36 - -39. Let a(v) be the third derivative of 0*v**4 - 1\/60*v**5 + 0*v**z - 2*v**2 + 0 + 0*v + 1\/40*v**6. What is the third derivative of a(g) wrt g?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 64545 to the nearest integer?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 2 - 13 = 0. Let w(d) = -4*d**3 + 3*d**g - 1 + 5*d**3 + d**3. Calculate w(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/197121 and -5\/117.\nAnswer: 7687719","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - -64016034?\nAnswer: 64016040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 153.99 - 155. Let j = 0.01 + w. Which is greater: j or -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 13 and -2.1149.\nAnswer: -27.4937","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -59.66 to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -5) + -2 - (-112 + 127)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-104)\/(-14) + -8)\/((-2)\/1)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x = 3*x. Suppose 2*c - 13 + 3 = x. Suppose 0*b - b = c*w - 115, w + 2*b - 32 = 0. What is the lowest common multiple of 12 and w?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 673 is divided by 75?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 31700970857 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 4 + 8 = 0. Let m(u) = -4 + f - 12 - 2*u. Let i be m(-7). Solve i = -0*q + q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a - -263?\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -62\/4282239 and -71\/2223?\nAnswer: 12846717","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 3942701 - -1\nAnswer: 3942702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18 - 1. Suppose -5*f + h = -12, 0*f + 2*f + 4*h = -4. Suppose -m = 3*c - 30, -f*c - 2*m + p = 1. Solve -2*y - w = -0*y - c, 3 = 3*w for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + -10021010?\nAnswer: -10021022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -g - l - 10, -49*l + 20 = 3*g - 51*l for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 5 (b) -5 (c) -47\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10663?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3\/9 - 1360*y**2\/9 - 2*y\/9 + 1360\/9.\nAnswer: 2*(y - 680)*(y - 1)*(y + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 31*b**2 + 10*b**3 - 13*b - 16*b**2 + 15 - 8*b**3. Let x(w) = w**3 + 7*w**2 - 6*w + 7. What is -6*h(s) + 13*x(s)?\nAnswer: s**3 + s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(5\/75*-3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: a24 (base 12) to base 14\nAnswer: 76c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 divided by -4848905.\nAnswer: 28\/4848905","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 = -8*d - 33. Let j(b) = -b**3 - 11*b**2 + 8*b - 17. Let n be j(d). Let r = n + 79. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 111462.8 to the nearest ten thousand.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 z when three letters picked without replacement from vhhzhcccczzzchc.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l + 10. Let j = 5 - 10. Let u be f(j). Suppose a = -5*x - 26 + u, 3 = a - x. What is the nearest to -0.1 in a, 3, -2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 30.6 - 30.6. Let y = 285.7 + -286. What is the nearest to o in y, -3\/5, 5\/6?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -57 + 70 + 35869 + 3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -53.2 - -11.9.\nAnswer: -41.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1.4, 5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00822 to 2 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 + 4*m**2 - m - 5. Let i be d(3). Let h be (1065\/(-6))\/(i\/4). What is h rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10715 - 10712. What is the smallest common multiple of 6675 and s?\nAnswer: 6675","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 859859 + -3?\nAnswer: 859856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1276 (b) 2 (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 512\/(-72) - -6 - -1\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3849742?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71211975.\nAnswer: 3, 5, 431, 2203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_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: Let j = -12 - -15. Let k(q) = j*q - 2*q - q + q. Let n(v) = v + 10. Give k(n(u)).\nAnswer: u + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of -3*b**2 + 7*b + 6. Is s(-12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of 53*s**6\/30 + 4*s**2 - 44*s. What is the first derivative of q(y) wrt y?\nAnswer: 212*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 37558 + -37566. Let t(r) = r**3 + 8*r**2 + 3. What is t(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*q - q - 15. Suppose -r = q*r. Solve 5*d + 2*h + 11 + 4 = r, -4*d - 15 = h for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 + 4*z**2 + z. Let k be v(4). Suppose -290 = -b - k*b. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 358 is divided by 89.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -75408833515 - 22\nAnswer: -75408833537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14241464*z**4 - z**2 - 5*z - 1270?\nAnswer: -341795136*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-24)\/(-4)*(-15)\/495?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -5 - 4*u + 3*u - u**2 - 3*u + 0*u. Let o be i(-4). What is the closest to 0 in 0.1, -3\/2, o?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -1021, -10, -64 in ascending order.\nAnswer: -1021, -64, -10, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 50 - 397\/8. Let v be 0\/(((-18)\/63)\/((-3)\/42)). What is the closest to -2\/5 in v, -2, h?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.01 + -10.99. Let l = -100.8 + 112. Let u = l + q. Which is the third biggest value? (a) u (b) 0 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 + 10*l**2 + 2. Let a be x(-10). Suppose 2*v + 4*g = 40, 5*v + a*g - 74 = -14. Let o = -9 + v. What is the highest common divisor of 1 and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-9)*45\/75*(-35)\/15?\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*i + 6*i - 39*i.\nAnswer: -62*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 5*y + 42 = 0, -15*i + 32 = -10*i - 4*y. Is -6 at least i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 905721 is divided by 724.\nAnswer: 721","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fp when two letters picked without replacement from {u: 4, p: 3, f: 1}?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 369 - 198. Let x = u - 88. Is x a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 78 - 78 - 23*z + 110*z in the form d*z + s and give d.\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4 + ((-12)\/(-8)*-6 - 0). Let y be (-28)\/10*m\/12. Factor 1 - y*u + 1\/3*u**2.\nAnswer: (u - 2)*(2*u - 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 31208 and 4897.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -5*q + 15. Let n be m(3). Let d be ((-80)\/32)\/((-1)\/2). Solve -d*o = -n*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 182 and 7959?\nAnswer: 206934","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -90 + 119. Let r = 31 - i. Solve 3 = -4*j + h + r*h, 4*j - 2*h + 2 = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkk. Give prob of picking 3 k.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 105*d**2 + 96*d**2 - d**3 + 106*d**2 - 301*d**2 - 4 - 4*d. What is b(6)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*p + 66*p - 75 = 3*w + 23*p + 19*p, 0 = 2*w - 4*p + 30 for w.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23, -53, -141, -317, -611, -1053?\nAnswer: -1673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -365*i**2 + 287265*i - 7870.\nAnswer: -5*(i - 787)*(73*i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/18)\/(1188\/2673)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a centimeter in micrometers?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-255)\/2)\/((-2968)\/896*4 + (-3 - -15))\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*o + 8 = 5*o + 118 for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - -66146644?\nAnswer: 66146637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 - 16*j**2 - 7*j + 88. What is m(-3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-3)\/(-42))\/(75\/35). Let x(u) be the third derivative of 0 - 1\/24*u**4 + 0*u - 1\/120*u**6 + 7*u**2 - r*u**5 - 1\/3*u**3. Calculate x(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 25631766, 51263506, 76895246, 102526986, 128158726, 153790466?\n\"Answer: 25631740*x + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -379 or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x - 1. Suppose 0 = -2*m - 7 + 3. Let i(a) = 5*a**2 + 2*a - 7. Let k(z) = m*n(z) + i(z). What is the derivative of k(p) wrt p?\nAnswer: 10*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -20 - -12 - (0 - 4) - 9 - 24.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1990 (base 14) in base 15?\nAnswer: -158e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(209)*-2 + sqrt(209))\/sqrt(11) + sqrt(133)\/(-1*sqrt(7)))*-6 + sqrt(304)*2 + (sqrt(304) + -1 + sqrt(304))**2 + -2.\nAnswer: 4*sqrt(19) + 1215","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*m + 19*m = 49*m - 130. Does 2 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4365)\/(-3880))\/((-42)\/1792)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 21*g + 7. Let l(u) = -10*u - 4. Let z(k) = -7*l(k) - 3*m(k). Let y be z(0). Solve 5*p + 13 + y = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 71403341773229\/504660 + -565952061\/4. Let w = 3\/647 - u. Let d = w - -124\/585. What is the nearest to 0 in -3\/8, d, 9?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is two ninths of a day in seconds?\nAnswer: 19200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 0.2 (b) 4 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6381 is divided by 1063?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 + 7*x**2 + 8*x - 8. What is y(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 98899.89m in millimeters?\nAnswer: 98899890","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38256, -306010, -1032776, -2448060, -4781368, -8262206, -13120080?\nAnswer: -19584496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/7)\/(8\/(-252)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10586 by -1.\nAnswer: -10586","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -18138 + 10?\nAnswer: -18128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 801\/(-3)*(-2)\/3. Suppose 4*m - i = 10. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 93.6 and 36.304.\nAnswer: 129.904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z**2\/3 - 58*z\/3 - 61 = 0. Calculate z.\nAnswer: -3, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + 1. Suppose 0 = -5*b + y*b + 34. What is the remainder when 61 - 57 - (0 + -29) is divided by b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5009.87635 to the nearest ten.\nAnswer: -5010","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 4*o - 1. Let b(s) = -s**2 + 6*s - 4. Let r = 7 + -2. Let v be b(r). What is w(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 16 = -4. What is the remainder when ((-4)\/(-8))\/((-2)\/(-44)) is divided by u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -289, -298, -319, -358, -421, -514, -643?\nAnswer: -814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 37288 and 2360.\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 157995, 631916, 1421743, 2527476, 3949115, 5686660, 7740111?\nAnswer: 10109468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13\/1055 not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -4080, -4069, -4052, -4029, -4000?\n\"Answer: 3*u**2 + 2*u - 4085","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1370.6 - 1370.9. Which is the biggest value? (a) -2 (b) -5.4 (c) -0.08 (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13679 - 9941 = -89*r for r.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + d - 72*d**3 - 2 + 93*d**3 to u*d**3 + l*d + q*d**2 + v and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 60625021 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -28, -40, -38, -16, 32, 112, 230, 392?\n\"Answer: h**3 + h**2 - 22*h - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 PM and 12:58 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-7\/3)*q**(-6)*(q\/q**0)\/(q**5\/q))**(-1\/7) assuming q is positive.\nAnswer: q**(34\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 2*v - 8. Let q(u) = 44*u - 120. Let h be q(6). Suppose v*f = f + h. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.19? (a) 3 (b) 0.2 (c) -4 (d) -10552\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 + 7720*m**2 - 1932*m**2 - 1929*m**2 - 1924*m**2 + 0 - 1932*m**2.\nAnswer: 3*m**2 - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-6)*u)**(-50)\/(u*u**(-1\/9))**(-1\/2) assuming u is positive.\nAnswer: u**(2254\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 3 = -2*b. Let c(k) = -25*k**3 - 2*k - 1. Let j be c(b). Solve 4*f = -2*x - j, 0*f - 35 = 5*f + 3*x for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -75 - -32. Let f = w + 219. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 201 + -131. What are the prime factors of n?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -156*y - 159*y**2 - 16*y**2 + 156*y to the form t*y**2 + c + u*y and give t.\nAnswer: -175","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 204 - 186. Calculate the lowest common multiple of w and 24.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 - 25. Let m = 20\/11 - 118\/77. Let k = -0.05287 + 0.05287. Which is the nearest to k? (a) m (b) l (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*f + 23*f = 105. Let u be ((f - 14) + -9)*(-2)\/(-18). What is the closest to 0.9 in -0.4, 1\/2, u, -3\/8?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.32066 minutes in hours?\nAnswer: 0.072011","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -4*s - 2*z, -177427 = -3*s - 2*z - 177438 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-15))**(-1\/81) assuming b is positive.\nAnswer: b**(5\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -2830*i**2 - 76*i + 26. Let w(q) = -q**2 + 10. Let s(f) = j(f) - w(f). What is the second derivative of s(a) wrt a?\nAnswer: -5658","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 - u**2 + 15*u + 3. Let d(v) = 3*v**3 + 2*v**2 - 44*v - 8. Let t(n) = -8*b(n) - 3*d(n). What is t(5)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(26)\/sqrt(2) - sqrt(13)) + (sqrt(26)\/(sqrt(2)*-2))**2 - sqrt(26)\/(sqrt(2) - 6*sqrt(242))) + -1.\nAnswer: sqrt(13)\/65 + 1\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 0, -5*l + 4*i + 15775 = 3*i. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of h**4\/4 + 7*h**3\/3 - 3*h**2 - 15*h + 3. Let z be y(-7). Let s be -3 - z\/(7 - 4). Which is bigger: s or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 - (-59 + -14 + -29 + 49).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16852 and 24895.\nAnswer: 1095380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (2 - (5 - -1)) + -40 + 29.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31866 - 90312 = -17*n. Suppose -y + n = 5*f, -4*f + 2*y - 51 = -2807. What is the tens digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -3*f + 1. Let j be r(7). Let p(u) = -66*u - 27. Is p(j) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*n**3\/3 - 455*n**2 + 19132*n\/3 - 576 = 0.\nAnswer: 1\/11, 16, 108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1182.5 - -570.\nAnswer: -612.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1980265 and 435.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 100657035*a**3*m**3 - 3*a**3*m**2 + 8*a**3 + 549*a**2*m**2 - 124*a*m**2 - 2*a wrt m?\nAnswer: 603942210*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 2*i + 11. Let n be y(-6). What is the closest to n in -1, -2, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -223*a + 443621 + 2146970. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -8588*d**3 - 81*d**2 - 27*d - 27. Let b(p) = 1227*p**3 + 12*p**2 + 4*p + 4. Give 27*b(u) + 4*r(u).\nAnswer: -1223*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 6*y**2 - y. Let u be c(1). Let s(z) = 32*z**2 - z. Let j be s(1). Suppose -u*k + 1 = -o + 46, -j = -o - 2*k. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - -10. Suppose 2*w - 10 = -3*y + w, -w = d. Let t be (-6)\/(-10) - (-147)\/y. Calculate the highest common divisor of 12 and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1612, -3207, -4814, -6433, -8064, -9707?\nAnswer: -11362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (426400\/744)\/52 - 11?\nAnswer: 2\/93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tcj when three letters picked without replacement from {k: 3, i: 1, c: 2, b: 3, j: 5, t: 1}.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2\/5*(75\/2)\/5\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4*20\/16 - -11. What is the second derivative of 14*y - i + 56*y**2 - 3*y + 27*y**2 - 16*y**2 wrt y?\nAnswer: 134","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -40, -41, -40, -37, -32?\n\"Answer: q**2 - 4*q - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yu when two letters picked without replacement from ygyyguuy?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 45001145 to the power of 1\/2, to the nearest integer?\nAnswer: 6708","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-90*(-31)\/(-4650))\/((-8)\/10)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2\/5*(-738)\/1476\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/16 - ((-12)\/280)\/(12\/170).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - 3. Suppose -w*l - l = -76. Let p = 29 - l. Calculate the least common multiple of 10 and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.7 and 0.798.\nAnswer: -2.1546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 6\/5 of a kilometer?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22496 and 114?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 56 (b) -2873\/22 (c) 34 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, c: 2}. What is prob of picking 2 c?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 75 and 135?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 - 4*g - 1. Let m = 8 - 5. Let k be q(m). Let h(t) be the second derivative of t**5\/20 + t**4\/4 - t**3\/3 - 3*t**2\/2 - t - 22. Determine h(k).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 + 1. Let k(b) = 5 - 1 - 3. What is -k(n) + o(n)?\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3192)\/105)\/((-2)\/30). Calculate the remainder when 1*(-7)\/((-21)\/d) is divided by 77.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2948 and 954.\nAnswer: 2812392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(-3)*6\/9?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(1792) - sqrt(1792))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -20*z**2 + 425*z = 0.\nAnswer: 0, 85\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 + 0.36?\nAnswer: 19.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 66220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:58 PM and 3:17 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2\/7 - 7783*b - 54480\/7.\nAnswer: -(b + 1)*(b + 54480)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 x, and 1 n when three letters picked without replacement from {g: 2, n: 5, x: 5}.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of r**4 - 80*r**3*x + 769998*r**3 - 11*r**2 + 5158826*r*x wrt r?\nAnswer: 24*r - 480*x + 4619988","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 21149477 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the first derivative of h**4\/4 + 2*h**3 + 2*h**2 + 4*h - 7. Let q be l(-5). What is the second derivative of -q*d - 21 + 10*d**4 + 21 wrt d?\nAnswer: 120*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 7*l**3. Let c(b) = -8*b**3 + b**2. Give -2*c(g) - 3*u(g).\nAnswer: -5*g**3 - 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (-4 - (9 + -2))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*m + 78 + 65 + 72 - 210.\nAnswer: -3*m + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -193023, -385946, -578863, -771774, -964679, -1157578?\n\"Answer: 3*j**2 - 192932*j - 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 - 8 = 4*q, -3*x - 4*q - 32 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -92669463.5 to the nearest ten thousand.\nAnswer: -92670000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 153122.\nAnswer: 2, 76561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4735*s - 1125*s + 4277*s + 42*s + 52*s to the form m*s + f and give m.\nAnswer: 7981","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -43\/15 - -16\/5. Let q = 52 - 52. Which is the fourth biggest value? (a) m (b) -4 (c) q (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 52, 105, 194, 319, 480, 677?\nAnswer: 910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = 2*d - 5, -5 + 2 = -3*j for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1671 = -2*y + 1753. Calculate the remainder when 81 is divided by y.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -2*l**2 - 105897*l - 741228. Calculate f(-7).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 7, h: 7}. What is prob of sequence hxxx?\nAnswer: 35\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-1)*38*(-372)\/589\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3180?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, -1\/375, 3 in decreasing order.\nAnswer: 3, -1\/375, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 AM and 8:21 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2 - 10*h - 13. Suppose 0 = -4*y + 92 + 108. Suppose 0 = 2*q + 3*q + w - y, 3*w = -3*q + 18. What is j(q)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/(-7))\/(16\/56). Let m be (-119)\/(-3) + s\/6. Let n be (9\/(-6))\/((-12)\/m). What is the nearest to -1 in 0.2, -5, n?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15229021.\nAnswer: 59, 258119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + 1\/1*1. Let t be (-9)\/(8 + -23 + 14). Solve 3*i + 0*i = -j*p, 4*p + t = 5*i for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10453 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 0 = 8, a = 2*v - 7. Differentiate a + 7 + 3*r - 11*r wrt r.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1056, 0.5, -27, 35\/8?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-646)\/60 + -1*(-11)\/132*2?\nAnswer: -53\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 205 = -3*i - 770. Let v = i + 122. Let l = -96 - v. List the prime factors of l.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 50350 to the nearest one thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*x - 11*x + m - 883 = 0, 2*x + m - 355 = 0. Does 20 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 4*x - 1. Let j be y(6). Let m = 33 - j. Suppose 3*z = 5 + m. Solve 4 + 2 = 5*t + 4*q, -14 = -3*t - z*q for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 3 = -7*m + 10*m, -2*m = 4*a + 8. Sort -4, -5, m, 3.\nAnswer: -5, -4, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*h + 10*h = 7*h + 696. Let x = 48 - 105. Which is bigger: h or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 0*o**2 + 2*o**2 - 2*o**2 - o**2. Let u(x) = -x + 5. Let k be u(3). Let l(h) = 31*h**k - 57*h**2 + 32*h**2. Calculate l(j(c)).\nAnswer: 6*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 30 - 0. Let b(s) be the first derivative of 9*s**2\/2 + 15*s - 9. List the prime factors of b(x).\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 297 = -3*n - 226, 0 = 3*n + 3*i - 69 for n.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/2 - 20\/(-5). Let b(n) = -6*n + n - d + n + 3*n. Give b(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (-2 - -9)) + 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(405) + (5*(sqrt(405)*2 + sqrt(405)) - sqrt(405)).\nAnswer: 135*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + s - 2 + (3 - 2 + 2)*(-4 + 4 - 2*s))*(2 - 1 + 1)*(-7 - 2 - 8)*(-3 - 1 + 2).\nAnswer: -340*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 + 17. Suppose -k*d - r + 260 = 0, 3*d + d + r - 209 = 0. Let l be 18 - ((-3)\/1 - -4). What is the highest common divisor of d and l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -136, -326, -514, -700, -884, -1066, -1246?\n\"Answer: v**2 - 193*v + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**4\/3 - 866765*w**3\/3 - 16695531105*w**2 - 321617142947925*w - 1286201461784580.\nAnswer: -5*(w + 4)*(w + 57783)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 18*j + 28. Let l(s) = -9*s - 11. What is -5*a(d) - 12*l(d)?\nAnswer: 18*d - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (3 + -10 + 13 - 0) + -9\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6.08 + -0.08. Let y = 20.7 - 9.6. Let i = y + -11. What is the nearest to 0.1 in -3, r, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2727844 is divided by 100?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -6799*c**2 + 6*c + 5. Let t be y(-5). Let b be (1\/((-4)\/20))\/(1\/t). Round b to the nearest 100000.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6.4 - 6. Let y = 438\/221 + -3729\/1547. Which is the nearest to -1? (a) r (b) y (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 312*m**2 + 208*m**2 + 155*m**2 - 86*m**2 - 129*m**2.\nAnswer: 460*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000174057007 rounded to seven dps?\nAnswer: 0.0000174","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1.7 (b) -1\/5 (c) -81.26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -44 - -43.91. Which is the nearest to u? (a) -2\/45 (b) 2\/5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1060664 to the power of 1\/2, to the nearest integer?\nAnswer: 1030","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 4. Let x = -10 + z. Let i = x - -10. Solve d = -i*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 - 53 = -4*o. Let t be 6\/(-27) - o\/(-9). Factor 2\/5*j**t + 0*j + 2\/5*j**2 + 0 - 2\/5*j**4 - 2\/5*j**5.\nAnswer: -2*j**2*(j - 1)*(j + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -594790*g**3 - 2*g**2 + 1447812?\nAnswer: -1784370*g**2 - 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 0*c + 153 = 0. Let k = c - 28. Calculate the remainder when 78 - ((8 - 5) + 7) is divided by k.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*a + 176 = 165 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - 2 - (-8 - (5 - 30 - 15)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 + -2. Suppose -4*s = -2*t + 22, -t = -z*s - 0*s - 17. Is (-4 + 7)*(-106)\/s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20634 divided by 38.\nAnswer: -543","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 62.69939 tonnes?\nAnswer: 62699.39","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -761 + 1769. What are the prime factors of v?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176)*1 + 4 + 2*sqrt(539) + -2 + (sqrt(88) + -2*sqrt(88)*1 + sqrt(88))\/(sqrt(18)*6))**2.\nAnswer: 72*sqrt(11) + 3568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*1.719.\nAnswer: -0.6876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-5 - -18) - (-613 - -652)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*n + 13 = 78*n - 23 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 330 - 1967\/6. Let v(z) = 5*z + 1. Let x be v(-6). Calculate the common denominator of (1\/12)\/(1\/x) and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of -t**5\/20 + 2*t**4\/3 + 3*t**3 + 10*t**2 + 6*t + 1. Let w be n(10). Solve -g + w*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -167 = -5*b - 32. Calculate the remainder when ((4 + -5)*78)\/(-1) is divided by b.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 672 - 672. Put k, 0.4, 20 in increasing order.\nAnswer: k, 0.4, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*q + 3*n + 3 - 1, 2*q - 4*n - 26 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 178 - 119. Factor 14*n**2 - 2*n - 4*n + 2*n**4 - d*n**3 - 52*n**3 + 101*n**3.\nAnswer: 2*n*(n - 3)*(n - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3259 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 269*a + 286*a - 26338 + 4345 - 1872 = 0 for a.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20 - n**4 + 5 + n + 0*n**4 to the form z + v*n**2 + k*n + u*n**4 + w*n**3 and give z.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -2*v**3 - 6*v**2 + 8*v + 7. Let w(f) = f**2 + 7*f + 7. Let t be w(-4). Is k(t) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 34*m - 3026 - 2686. Let r be 14\/4*6\/1. Calculate the highest common divisor of r and m.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 + s**2 + 3*s - 2. Let i be a(0). Let p be -30 + 32 + 1*i\/(-1). Solve 4*j + p*z = 0, 4 = -2*j - z + 6 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 541989168.\nAnswer: 2, 3, 7, 41, 39343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 111832220?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 140259 to the power of 1\/2, to the nearest integer?\nAnswer: 375","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0817958365 to 4 dps.\nAnswer: -0.0818","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.1513 - -0.1513. Sort 9, -1\/3, 1, o.\nAnswer: -1\/3, o, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 PM and 6:15 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -73*y + 145. Let d(k) = 38*k - 74. Let u(s) = -19*d(s) - 10*q(s). Give u(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -2*y + 10. Solve -r = r - y for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 v when three letters picked without replacement from huvkhhhvvvhth.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -39*h**3*x**3 + 19*h**3*x - 21*h**3 + 7*h*x - 6*x**3 wrt x?\nAnswer: -234*h**3*x - 36*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -192*s**2. Let h(n) = -57176*n. Determine h(r(z)).\nAnswer: 10977792*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 202322133 - -311310?\nAnswer: 203300103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*l**3*q**2 - 2*l**3*y - l**2*q**2*y - 41*q**2 - 1894*y with respect to q.\nAnswer: 10*l**3*q - 2*l**2*q*y - 82*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 271*i - 18. Let x(g) = 4*g**2. What is u(x(m))?\nAnswer: 1084*m**2 - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 6.4, -8\/3, -4, 270\/29?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 12*o + 7*o = -25, 4*o = -2*b + 26 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -656.788 - 35.\nAnswer: -691.788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -3*z + 5. Let f(i) = i + 1. Determine 2*f(q) + n(q).\nAnswer: -q + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -82, -84, -86, -88, -90, -92?\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 60887 less than -5?\nAnswer: -60892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = a - 14, -4*w = 3*a - 34 + 2. Suppose -w*l = 14 - 9. Put l, -3, 4 in descending order.\nAnswer: 4, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(-9)*(-3 - 9). Suppose -41 = -o*h + 19. Does 8 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 30 = -k, -4*k + 109 = -f + 2*f. Suppose 2391184 + 441116 = -k*z. Round z to the nearest ten thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55877 is divided by 127.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 13847 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 200587 is divided by 1807?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7668539 weeks in minutes?\nAnswer: 7729.887312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/8751 and 139\/186?\nAnswer: 542562","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2062 + 2329. Calculate the highest common divisor of u and 623.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**2 + 51*x + 674. Determine c(-11).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wfjtojowjfowwwtwwj. Give prob of sequence jjf.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2\/7, -1\/22192, 6\/5?\nAnswer: -1\/22192","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*q**2 + 162*q**2 - 47*q**2 - 24*q**2 - 48*q**2.\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 739119 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: Suppose -2*n = -n - 13. Let d be (5 - -1) + 9 + -13 - 2. List the prime factors of n\/(-26)*(134\/(-1) + d).\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 3) to base 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 48 and 84?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*b**(-2\/15)*b))**(-30))**(-39) assuming b is positive.\nAnswer: b**(-1014)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -261401*-2\nAnswer: 522802","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nde when three letters picked without replacement from eidnppppe?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6 and 19872548?\nAnswer: -119235288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93*c**2 - 244*c**2 + 1 - 2*c**2.\nAnswer: -339*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, w: 3}. What is prob of sequence ewww?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6880*v**3 + 0*v + 0*v + 17136*v**3 - 10292*v**3.\nAnswer: -36*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 + 633\/33 - 8\/44. Calculate the greatest common divisor of 4 and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n**5 - 1698*n**4 - 18348*n**3 - 17958*n**2 + 198495*n + 199800 = 0. Calculate n.\nAnswer: -555, -8, -5, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6064\/5 - -1203. Let w = -24051\/740 + 1\/740. What is the common denominator of u and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 14.09709m?\nAnswer: 14097.09","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 2 x, and 1 m when four letters picked without replacement from {y: 2, v: 4, q: 1, b: 1, x: 2, m: 4}?\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 795036.7 kilometers?\nAnswer: 795036700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 - 7*w**2 - 2*w + 48. Let u be z(5). Which is the fourth smallest value? (a) 3 (b) u (c) 5 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 282 - 299 = -5*s, 3*r + 3*s = 9 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 2*r**4 - 2*r**3 - 38*r**2 - 192*r - 180. Let y(w) = -w**3 + 2*w + 6. Let d(q) = -2*b(q) + 20*y(q). Determine c so that d(c) = 0.\nAnswer: -4, -3, -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*j**3 + 4*j**3 + 5*j**2 - 4*j**4 wrt j.\nAnswer: -96*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 4*k - k + 19, 4*k = 5*p + 22. Let n(u) = -3*u**2 + 2. Let i(r) = 4*r**2 - r - 3. Let j be (-2)\/(-6) + 30\/(-9). Give j*n(a) + p*i(a).\nAnswer: a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 183474 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times 1305134?\nAnswer: -5220536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 q when two letters picked without replacement from {v: 13, q: 3}?\nAnswer: 13\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2\/3, 0.5, 1\/3, 49?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + -9a2b8?\nAnswer: -9a2bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 - 0. Let n(u) = -u**2 - 5*u + 1. Let t be n(h). What is the derivative of -z**4 - z**4 + t + 0 wrt z?\nAnswer: -8*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15 + 12. Let v(j) = j + 10. Let p(a) = -a - 11. Let s(x) = -3*p(x) - 4*v(x). Let c be s(d). Sort c, -2, -1 in decreasing order.\nAnswer: -1, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2 - 3)*(-28 - 2 - 4)*(4 + 2 - 4)*(-2 - 3 + 3)*(-8*k - 8 + 8).\nAnswer: -3264*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 8*c**2. Let n(s) be the third derivative of s**5\/60 - 3*s**2. What is w(n(j))?\nAnswer: 8*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -75, -12\/13, -4, -2\/35, -1\/5.\nAnswer: -75, -4, -12\/13, -1\/5, -2\/35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 + 10*x + 2. Let y(p) = 68*p + 126. Let i be y(-2). Determine b(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10110111010 (base 2) in base 8?\nAnswer: 2672","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 16, -27, 1, -2\/6355, -1\/2?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (-11)\/(-3))*(-3)\/5\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 560*b**2 - 5*b + 46. What is the ten thousands digit of j(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -6*z**2 + 5*z**2 - 31 + 25 - 4*z. Calculate v(-6).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -110 - -165. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/799068 and -36.\nAnswer: 799068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 30\/4*(-8)\/(-6). Calculate the greatest common divisor of s and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 - 23*y + 42. What is f(20)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v + 0*v = 616. Let y = 16 - v. Is (-11)\/2*(y + -2)*1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o + 2*o + o + (7*o + 0*o - o)*(0 + 1 - 3) + (0 + 2 + 0)*(9*o - 7*o + 5*o).\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 k when two letters picked without replacement from {p: 2, k: 2}.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 169 divide 413455120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zj when two letters picked without replacement from zujuujjuuuujjujjuuju.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 17246 or 17247?\nAnswer: 17247","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 101\/8 - 25\/2*b - 1\/8*b**2 = 0. Calculate b.\nAnswer: -101, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 49 - 42. What is the hundreds digit of (l + 0)*220\/14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -13*l**2 - 4*l - 1. What is z(2)?\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -347 - 21 - 25*w - 10*w - w.\nAnswer: -36*w - 368","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 678 and 7?\nAnswer: 4746","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -156 (base 7) in base 8?\nAnswer: -132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18 and 6232986.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, l: 1, h: 2, f: 1, k: 1}. What is prob of picking 1 l and 1 f?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 137 is divided by 70.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddvv when four letters picked without replacement from {v: 3, d: 13, l: 2, t: 2}?\nAnswer: 13\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1728 - -1727.999998883. Round b to 7 dps.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*a + 0 + 0)*((-1 + 5 + 0)*(-4*a**2 + 0*a**2 + 3*a**2) + 10*a**2 - 3*a**2 + 10*a**2) in the form f + u*a**3 + y*a + m*a**2 and give u.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (745 - 3) + 12\/3. Let a = c - 11156\/15. What is the common denominator of 131\/24 and a?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 - 1)*(-7*k + 24*k - 9*k)*(0 + 0 - 2).\nAnswer: -32*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 - u**2 + u - 1. Let p(r) = -8*r**3 + 6*r**2 - 8*r. Let b = -7456 - -7455. Give b*p(i) - 6*f(i).\nAnswer: 2*i**3 + 2*i + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 212 + -222. Let q be 18\/30 + (-14)\/t. Solve 3*i = -q + 5 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 98 and 106?\nAnswer: 5194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -47 + 26. Let m = -12 - k. Calculate the greatest common factor of 99 and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 PM and 5:31 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 7) to base 16.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30819.\nAnswer: 3, 10273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 + 6*l**2 - 5*l + 4. Let f be w(5). Solve -2*r + 4*j + 2 = 0, 0 = f*r - 3*j - 2*j + 2 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 m when three letters picked without replacement from {m: 5, k: 3}.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*q**4 + 3*q - 3*q + 2*q**3 - 2*q**3 + q**4 + (4*q - 3*q - 3*q)*(1 - q**3 - 1) to the form p*q + h*q**3 + g*q**4 + r*q**2 + x and give g.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 155 + -268. Let x = u + 121. What is the least common multiple of 4 and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -29*2*(3 + -4). Suppose -2*q - 56 - 24 = 0. Let m = q + a. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 884.88 kilometers?\nAnswer: 884880000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 228023283 and 3789.\nAnswer: 1263","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5\/71 - -167\/355. Which is the closest to 6\/17? (a) -1 (b) v (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-13)\/39*6\/(-10). What is the second biggest value in -3\/2, 3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7058875.3 rounded to the nearest one hundred thousand?\nAnswer: 7100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1348284, -2696547, -4044802, -5393043, -6741264, -8089459?\n\"Answer: g**3 - 2*g**2 - 1348264*g - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 60116?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1209029 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 333 + (-1 - (2 + -1)). Let p = -1932 - -1756. Let h = p + t. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9563178?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + 4*p - 12 - 2, 4*z - 28 = 2*p. Let b(w) = -w - 5*w + 1 + z*w - w**3 + w. Give b(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yai when three letters picked without replacement from {i: 2, y: 1, l: 2, a: 1, x: 1, w: 1}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -3234132 (base 5) to base 16\nAnswer: -d8f6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*u + 27 = -0*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.55 + -0.8. Let i = g - -0.15. Let d = -0.2 - i. Is d bigger than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 1644\/17*n**3 - 4504\/17*n**2 - 84 - 4*n**4 + 4358\/17*n - 2\/17*n**5 = 0.\nAnswer: -51, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(209) + sqrt(209) + -1*6*sqrt(209)))\/(sqrt(11) + -1*sqrt(11)*-3 - (1*sqrt(132) - sqrt(132))\/sqrt(12)) + -3.\nAnswer: -3 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/(-15)*1\/((-4)\/1986) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -0.3, 4, -0.11, 326930?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*r**2 - 12 - 9 + 5 + 0 as l*r + s + d*r**2 and give s.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 5, t: 3}. What is prob of picking 2 t?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a millisecond in microseconds?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 354928285 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 + -10)*24\/(-18). Suppose 2*r = -6 - 0. Is (r\/n)\/((-1)\/236) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -389\/5 - -78. Let v = 0.2 - 0.3. What is the closest to v in -2, 0, k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -206.5 (b) -0.8 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.66056 from -1230.\nAnswer: -1229.33944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of 0*h**4 - 206*h**2 + 0*h**3 + 1 + 1\/30*h**5 + 0*h. Let k(c) = -22*c**2. What is k(s(m))?\nAnswer: -88*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 244757 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -8429, -8395, -8363, -8333?\n\"Answer: -j**2 + 37*j - 8465","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-3)\/(-6))\/(1\/4). Let q be 25\/(-10)*a*-10. What is the highest common factor of q and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 PM and 2:24 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-4))**28\/(u\/u**(-1\/2)*u\/u**(-3\/14)) assuming u is positive.\nAnswer: u**(-803\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 11 + 1. Let u be (1*4)\/(7 - h). Suppose 0 = -u*q + 29 + 3. What is the smallest common multiple of q and 7?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 4*p + 2 = -3*p, 4*b = -2*p + 6 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 11 = -609. Let y be 6\/42 - t\/(-112). Is y not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 132\/5 + -343\/20. What is the common denominator of q and 269\/126 - (-8)\/36?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -113234*d*m*x**2 + 2*d*m*x - 4*d*m + 77*d - 2*m*x + 3*x wrt x?\nAnswer: -226468*d*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 35 + 10 + (-1 - 16) - 12\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 31 - 33. Let c be (-1)\/(2*k\/6856). Suppose 0 = 4*u - c - 810. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millennium in months?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -556 - -5002\/9. Sort 1.1, r, 0 in ascending order.\nAnswer: r, 0, 1.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/16 and -109\/1800672?\nAnswer: 1800672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54 is divided by 17?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 511930 is divided by 30113?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1e9 (base 16) in base 11?\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/253 and -17\/49.\nAnswer: 12397","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -56 + 93222*o**2 - 7*o - o**3 - 93222*o**2 - o**3 to g*o**3 + w*o + s*o**2 + y and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15529 is divided by 282.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 13.3 and 22.\nAnswer: 35.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + 12693?\nAnswer: 12692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 9177, -2, -4.36 in ascending order.\nAnswer: -4.36, -2, 9177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and -886.28659.\nAnswer: -2658.85977","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -3*q**3 + 6*q**2 + 2*q - 2. Let d(b) = -7*b**3 + 12*b**2 + 4*b - 5. Calculate 2*d(z) - 5*i(z).\nAnswer: z**3 - 6*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, q: 1}. What is prob of picking 1 f and 1 q?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 - 15*(-2)\/(-3). Let o = p - -6. What is the units digit of o\/5 + (-32)\/(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000474 rounded to 7 dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/9)*i**(2\/45)*((i**(-1\/18)*i)\/i)\/((i*i**(-12)\/i)\/i))**(-1\/24) assuming i is positive.\nAnswer: i**(-1159\/2160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 - 14*r**2 - 17*r + 7. Let k be n(-13). Suppose 191 = 4*f + k. What is the remainder when ((-6)\/2)\/((-3)\/130) is divided by f?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1.5, -2, -1, 19?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-40)\/(-6))\/(26\/39). Solve -2*b + p = -4*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, p: 6, k: 2, y: 2, l: 3}. Give prob of sequence yply.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 38708295160 to the nearest 1000000.\nAnswer: 38708000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 29*w**2 - 4*w - 4. Let k be h(6). Suppose -43*o = -47*o + k. List the prime factors of o.\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -100 + 122. Suppose 0 = 3*v + 2*m - 25, 0 = -5*v - 2*m + 13 + h. What is the closest to v in -1, -3\/4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -200222040 (base 5) in base 2?\nAnswer: -11000000101000011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -773660 rounded to the nearest 1000?\nAnswer: -774000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-16) + (-1651)\/(-104). Let y = -22 + r. Let b(n) = n**2 + 7*n + 15. Calculate the remainder when 22 is divided by b(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/(-17))\/((-9582)\/380086).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 (base 8) in base 6?\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*h + 32 = 20*h for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5\/(-1915)*(-4 + 7). Let h = 2693\/1532 + o. Suppose -1\/4*g - 3\/4 + 1\/4*g**3 - g**4 + h*g**2 = 0. What is g?\nAnswer: -1, -3\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2\/1205 - 65056\/8435. What is the common denominator of f and (-160)\/18*-1 - 4?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 5*d**3 - 162*d**2 - 82*d - 555. Give w(33).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1, -3, -19, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 3*c - 65. Let q be p(15). Let o be 2*-1 - q\/(2 - 0). Solve -o = -5*m - 28 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 100, 175, 264, 373, 508, 675, 880, 1129?\nAnswer: 1428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/(3*(-3)\/(-9)). Let y = 4 + t. Suppose 24 = 5*u + y*f, -6 = 3*u + 2*f - 22. What is the remainder when 15 is divided by u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 - -261?\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/6*(-8)\/16.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2 - 13*q + 10. Let d be s(-14). Let m = -148 - -98. Let r be (-2)\/d*m\/5. Put 2, 1, r in decreasing order.\nAnswer: 2, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 719578121?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 100521312?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - (8 - (23 + 2)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 4*o + 82 = 3*x, -4*o - 26 = -x. Let p = -5 + x. Let h(i) = -i**3 - 4*i**2 + i - 3. What is the remainder when h(-5) is divided by p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 + 3*f**2 + 2*f - 3. Let g be r(3). Suppose -1094 = s - g*s. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-4)\/(-10))\/(-2))\/((-1413)\/(-1570))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*0.023\nAnswer: -0.0092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -46307, -40891, -35475, -30059, -24643, -19227?\n\"Answer: 5416*u - 51723","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 6*b**4 + 9*b**3 + 6*b**2 - 3*b. Let z(x) = -17*x**4 - 26*x**3 - 17*x**2 + 8*x. Let k(r) = -8*p(r) - 3*z(r). Factor k(f).\nAnswer: 3*f**2*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7442 and 122?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/140*(-4)\/4*10.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 + 8\/690*-530)\/((-15)\/(-45))?\nAnswer: -10\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3422451624 rounded to the nearest one hundred thousand?\nAnswer: -3422500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 111829?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -51, 2, 3, -62, -5\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2 + 19020*g - 6296180. What is f(337)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 68773 and 2425.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (194*z - 619 + 619)*(-3 + z + 3)*(8 + 0 - 5).\nAnswer: 582*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1778592?\nAnswer: 2, 3, 97, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 350146 is divided by 5740.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -22, -316, -1098, -2608, -5086, -8772, -13906, -20728?\n\"Answer: -40*q**3 - 4*q**2 - 2*q + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*m, -22*i + 3*m = -17*i - 5 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 47*y**2 + 20*y - 27. Suppose 0 = 2*o - 6, 7*l - 2*o - 39 = 2*l. Let k be x(l). Suppose -10*w = 10*w - k. Round w to the nearest ten.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -13*f + 825. Let r be n(63). Solve -d - 8 = 4*h + 9, 0 = -2*d + r for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*z + 1 + 39 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-96)\/18 - (3\/(-9) + 0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68\/(-60) + 180\/135.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 - 25*q**2 + 5*q - 80. Let u be z(25). Suppose 0 = 17*o - 32*o + u. Solve 0 = x - o*x + 8 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 3*k + 141 = -6, 910*c - 909*c + 2989 = -61*k for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -687 or -686?\nAnswer: -686","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3476*y**5 + 14*y**2 - 9*y + 3812.\nAnswer: -69520*y**3 + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9098003?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 - 6*q + 1. Give n(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 44 - -6?\nAnswer: 4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z + 283 - 75 = 0. Is 9 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 + -10. Let v = -18 - -15. Sort v, b, 1 in descending order.\nAnswer: 1, b, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-6)\/g*(g*g**(-5)\/g)\/g*g)\/((g**(3\/5)*g*g)\/g**4))\/((g\/(g\/(g*g*g**(-3\/2)*g)*g))\/(g**3*g)*((g*g\/(g\/g**1)*g)\/g)**(-1\/37)) assuming g is positive.\nAnswer: g**(-2607\/370)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_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: Suppose 320*i = 312*i + 18240. Let h = -2278 + i. What is c in 0*c**4 - 1\/4*c**5 - 1\/2*c**h + c**3 - 3\/4*c + 1\/2 = 0?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 402086599 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/2 and -13\/266?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 7*z - 33 = 0. Solve -2*t = x - 3 - 0, x = -3*t + z for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 267*w - 11994*w**3 - 527*w + 260*w.\nAnswer: -11994*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-106)\/(2 - 2 - 1). Suppose -4*d + 2*d + 6 = 0. Suppose -7*o + 105 = -d*o - 3*y, 4*o - r = 2*y. What is the remainder when o is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 + 16 + (-1 - -3).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1175, -2398, -3601, -4772, -5899?\n\"Answer: 2*t**3 - 2*t**2 - 1231*t + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24 + 18 + -4 + 1 + 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -70 (base 9) in base 14?\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*v + 75 = -8*v. Suppose -w + 5*h + 10 = 0, -29 = 3*w - 8*w + 4*h. Which is bigger: v or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -392*w + 393*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -146*r**2 - 181*r - 10. Let h(k) = 74*k**2 + 91*k + 4. Let t(w) = 5*h(w) + 2*l(w). Find the second derivative of t(a) wrt a.\nAnswer: 156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n + 12. Let q be g(-12). Suppose q = 4*l + 127 - 487. What is the highest common divisor of 10 and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 - -11. Let b(v) = 1 + v**2 + 0 - 2*v - 3*v. What is b(f)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/12*42 + 0. Is (i\/6 - 2)*(-2 - -2204) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 45*z + 1. Let r be w(5). Let v = r + -160. Suppose 119 + 134 = 11*a. Calculate the remainder when v is divided by a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-152)\/(-304))\/((-1)\/4). Let t(w) = -1. Let u(a) = -5 + 2*a + 0*a + 1. Determine d*t(p) + u(p).\nAnswer: 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 4*x - 944, 12*x - 17*x = 4*b - 748. What is the lowest common multiple of (9 + 6)*9\/15 and b?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3 + 20\/15)*3. Let t be q\/35 + 450\/14. Calculate the greatest common divisor of t and 160.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5109 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/(-6))\/(9\/81). Let g = s + 12. Suppose -4*y = -g*y. Solve y = 2*a + 5*k + 3, 3*a = -0*a + 5*k - 17 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v + y - 8 - 1, 2*y = -v. Suppose v*r - 7*r = -950. Let w be (-1)\/(-1*(-1)\/(-19)). What is the greatest common factor of r and w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 227 divide 836593?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28561255 is divided by 346.\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*s**2 + 6*s**2 + 15*s**2.\nAnswer: 17*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23640301?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, 3, -136, 1\/15?\nAnswer: -136","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5629? (a) -88 (b) -2 (c) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2643091, -10572402, -23787907, -42289594, -66077451, -95151466?\nAnswer: -129511627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of f**8\/210 - f**6\/180 - 4*f**3 - 10. Let v(s) be the third derivative of t(s). What is the third derivative of v(a) wrt a?\nAnswer: 192*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**3\/7 - 4*x**2 - 144*x\/7.\nAnswer: 2*x*(x - 18)*(x + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*a**3*l**2*x**3 + 4*a**3*l*x - 4*a*l**3*x - 4*l**3*x**3 + l**3*x**2 + 7*l*x**3 - 10*x**2 wrt x?\nAnswer: 48*a**3*l**2 - 24*l**3 + 42*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, -10, -22, -34, -46, -58?\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1198.5492ns?\nAnswer: 0.00000001997582","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -79840000 rounded to the nearest 1000000?\nAnswer: -80000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5821, -253 in decreasing order.\nAnswer: -1, -253, -5821","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 100\/250*(65\/(-30) - 2).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5233.389 micrograms to kilograms.\nAnswer: 0.000005233389","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1843760910 to the power of 1\/2, to the nearest integer?\nAnswer: 42939","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/10)\/((2\/6)\/(-1)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23 - 30. Let y = 11 + v. List the prime factors of 12*(-2 - (1 - y)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tdsa when four letters picked without replacement from {e: 2, s: 2, a: 1, t: 1, d: 1, g: 2}.\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-294*w + 417*w + 1320*w)*(2 + 2 - 2) + (2*w + 0 + 0)*(1 - 2 + 3).\nAnswer: 2890*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1275, -1277, -1279, -1281?\nAnswer: -1283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -5*l**3 + 2*l**2 + 9*l - 4. Let m(n) = -26*n**3 + 11*n**2 + 45*n - 19. Let h(j) = -11*f(j) + 2*m(j). Solve h(d) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -65916\/420169 - 2\/4721. Let h = x + 3461\/1068. What is the common denominator of (-35)\/(-6) + 9\/(-6) and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -331 + 329.668. Let z = b + 1.4. Round z to two dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24870697 to the power of 1\/2, to the nearest integer?\nAnswer: 4987","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(i*i\/(i*i**(-2\/89)*i*i)))\/i**(-6))**(-25))**(2\/29) assuming i is positive.\nAnswer: i**(-35500\/2581)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1150 and 180?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1*-281\nAnswer: -281","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -15547.6 and 0.1.\nAnswer: -1554.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2020990 divided by 1010495.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -n*z**3 - n*z**2 - 32*n*z - z**3 + 16*z**2 - 19*z wrt z?\nAnswer: -6*n*z - 2*n - 6*z + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (12\/21)\/(2\/7). Let d = 0.0734 - -40.9666. Let o = 41 - d. What is the closest to o in -0.5, y, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 238920725*y**5 + 210992*y**2 - 2*y - 42?\nAnswer: 14335243500*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21789 is divided by 5436?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 12:09 AM?\nAnswer: 2:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 64217539073 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 149994, 299972, 449948, 599922, 749894?\n\"Answer: -p**2 + 149981*p + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 3*z**2 + 10*z + 6. Calculate w(-5).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 3*w**3 + 20*w**2 + 17. Calculate o(-6).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m. Suppose -8*k - 11 = -11. Let s(j) be the first derivative of -3 + k*j + 5\/2*j**2. What is s(y(u))?\nAnswer: -5*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d - 11. Let g be b(13). Let t(u) = -u**3 + 2*u**2 + 3*u + 2. Let z be t(3). Suppose -z = -5*f + 3. Which is smaller: g or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/7? (a) 98 (b) 0.4 (c) -0.03064 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 3*q**2 + 23*q + 42. Let i be l(-13). Calculate the greatest common divisor of 100 and i.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (420\/72)\/(952\/6936)*-2?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2192692 or 2192669?\nAnswer: 2192692","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7050 - -11895. What is the thousands digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0817 less than -1.2?\nAnswer: -1.2817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1220 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-22)\/(-31240)*15)\/(42\/112)?\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - z = -244. Suppose b = -5*g - 7 - 0, -g = 3*b - 7. Suppose 0 = c + b*k - z, -305 = -5*c + 2*k + k. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 101 and 21.52.\nAnswer: 2173.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1665506 is divided by 1755.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 16*k**3 - 2*k**2 - 5*k - 3. Calculate u(-1).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-9) - 140\/(-18). Suppose 4*h = 6*h + 2. Let c = o + h. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -2*g + 2. Let o be p(-5). Suppose -s = v - 23, -v - 5*s = -27 - o. Suppose -3*n = q + v, q - 7 = -q + 3*n. Is -2 equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1952783 and 119.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 4*q - 200, -3*x + 311 - 107 = 4*q. Let w = q + -60. Let l(r) = r + 4*r - 3*r - 3*r + 3. What is l(w)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-2\/3)\/p)**(41\/5)\/(p**(3\/16)\/p)**(2\/7))**32 assuming p is positive.\nAnswer: p**(-17588\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 3, 0.2, 0.4, 0.423?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -24*n + 1 + 1 + 14*n**3 - 8*n + 6*n**3 in the form v*n**2 + s*n**3 + r*n + o and give r.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -135047901\/8515 + 15860. Let q = -621611\/136240 - s. Calculate the common denominator of 5\/7 and q.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 481*q + 4. Let d(y) = -960*y - 8. What is -3*d(t) - 5*k(t)?\nAnswer: 475*t + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16220 and 4710.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3366997426?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1393334 and 33640?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 292 and 13505.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c - 2*c - 3*c)*((-5 + 2 - 7)*(1 - 1 - 2*c) + 5*c - 5*c + c + c - c - 2*c - c + 0*c - c + (1 + 0 - 3)*(0*c - 3*c + 5*c)).\nAnswer: -26*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, 33\/91, 12\/13, 0?\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19039211 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 2 + 0 = 0. Suppose 0 = -9*w - 27 + 54. Suppose 0*b = -4*c - 2*b - f, w*c - 4*b - 26 = 0. Solve 0 = c*j + 2 - 6 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2\/7 - 6262*z\/7 - 37500\/7.\nAnswer: -2*(z + 6)*(z + 3125)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g - 3. Let m(b) = -6*b - 15. Give -11*c(j) + 2*m(j).\nAnswer: -j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -67, -96, -125, -154, -183?\n\"Answer: -29*t - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -119704.5 * -0.44\nAnswer: 52669.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b8a16 - 1c?\nAnswer: b89c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3433 (base 13) to base 9.\nAnswer: -11021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 5, -5.1 in descending order.\nAnswer: 5, 0.4, -5.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -297502*h + 297452*h + 1350 for h.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 2*i - 5*i, -i + 22 = 3*s. Let z(c) = -2*c**2 - 11*c - 12. Let d be z(-4). Suppose 4*b - s*b + 30 = d. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2598648796 a multiple of 1052?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 + 13. Let s = g + -9. Let m = s + -8. Does 2 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwxxrxw. What is prob of sequence rx?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1 or -997?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 26*b*g*u + 495*b*g - 38084*b*u - 3760*b wrt u.\nAnswer: 26*b*g - 38084*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 40 = -2. What is the remainder when 25 is divided by f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*h - 9*h = -210 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/(-112)*28324\/4088 and 141\/980.\nAnswer: 3920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 4*l. Let c(t) = 19*t**2. Give g(c(j)).\nAnswer: 76*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 17*t**2 + 153*t + 411. Let l(c) = 9*c**2 + 76*c + 207. Let r(p) = -4*i(p) + 7*l(p). Determine v so that r(v) = 0.\nAnswer: -13, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -875 + 353. Let a be 3 - (c\/14 - (-22)\/77). What is the highest common divisor of a and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 - 2*j**2 - 6*j + 1. Give a(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 7*s - 17. Suppose -x - 11 = -10. Let p(r) = -r**3 - 3. Let b be p(0). Put b, x, s in descending order.\nAnswer: s, x, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*6*(sqrt(153)*1 + -1).\nAnswer: -30 + 90*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -210 and -10.\nAnswer: 2100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 (base 8) in base 7?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 535 a factor of 395643355?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 4*l - 5 = -4, l + 5 = 4*q. Let u be (-1)\/(-4) - q\/4. What is the second derivative of w + w**5 - w + u*w**5 - w wrt w?\nAnswer: 20*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 768*x**2 - 167*x**2 + 1393*x**2 + 142*x**2 to the form i + d*x**2 + v*x and give d.\nAnswer: 2136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 3*v + 4 + (3*v - 4*v + 0*v)*(0 + 2 - 4) - 2 + 2*v + 2)*(-402*v + 398*v - 2 + 4)*(-3*v - 2*v + 3*v) to u*v**3 + i*v + s*v**2 + y and give s.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (101\/(-30) - 16\/(-720)*-6)\/((-11)\/154).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 725878 = -c, 4*o + c - 907361 = -o. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -106 - -105. What is the closest to -4 in j, 0, 4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 2217151.98ns?\nAnswer: 0.00000002566148125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117*b = -61*b - 55*b - 4702. What are the prime factors of b?\nAnswer: 2, 2351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 46 + 43 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 - -29.7419301.\nAnswer: 29.9419301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 145.375695s?\nAnswer: 0.0016825890625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1679*a = -1686*a - 7. Is -40\/19 < a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 12, 50, 108, 186, 284, 402?\n\"Answer: 10*x**2 + 8*x - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -958 + 953. Let t(b) be the third derivative of -b**4\/8 + 7*b**3\/6 - 2*b**2. Let r(q) = -5*q + 10. Let h(g) = -5*r(g) + 8*t(g). Give h(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -27 - -29. Suppose 0*r - 40 = s*r. Let z = 22 + r. What is the least common multiple of 14 and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 340, 724, 1238, 1948, 2920, 4220, 5914?\n\"Answer: 11*k**3 - k**2 + 310*k + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -121*h + 3 - 33*h + 60*h**2 - 35*h - 17*h**2 + 3*h**4 - 2*h**3 - 42*h**2 as c*h**3 + z*h + s*h**2 + k*h**4 + o and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23\/(-299)*1755\/(-15).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q. Let p(u) = 4*u. Let f(o) = -7*k(o) - 2*p(o). Let a(b) = b + 1. Let v be a(4). Let n(g) = -2*g - 2*g - 2*g - v*g. What is f(n(l))?\nAnswer: 11*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ahhhahbhd. What is prob of picking 2 a?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -613827.5 and 0.4.\nAnswer: -245531","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 160 and 48.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 40418060 and 73580?\nAnswer: 5660","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 33, 0.018, 117\/149 in decreasing order.\nAnswer: 33, 117\/149, 0.018","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2612 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3665024?\nAnswer: 2, 11, 19, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -2*n**3 + 49*n**2 + 136*n - 5. Give p(27).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 526 divide 43222393?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -237*h - 4 + 3 + 4 - 4.\nAnswer: -237*h - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cce when three letters picked without replacement from {e: 1, q: 1, c: 2}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*u + 2 + 15*u**2 - 13*u + 0*u**2 + 19*u + 39*u**2.\nAnswer: 54*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 418, -0.07, 14, -9?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 6:46 PM?\nAnswer: 1:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7235.\nAnswer: 5, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 722 and 464246?\nAnswer: 722","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 o when three letters picked without replacement from {e: 6, f: 2, o: 11}.\nAnswer: 110\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q - 17. Let n(t) be the first derivative of -5*t**2 + 50*t - 209. Let w be n(5). Calculate p(w).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 140 divided by -19?\nAnswer: -140\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqqqqwwqqqqwqq. What is prob of sequence qww?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -30408 - -54107. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((sqrt(70) - -2*sqrt(70)*-1) + sqrt(70) - sqrt(70)))\/(-6*(sqrt(640) - sqrt(640)*-3)).\nAnswer: -sqrt(7)\/96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*j = -291 - 199 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75 is divided by 64.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 16\/(-6) - (-2)\/(-6). Suppose w - 3*d = 2, 5*w + 3 - 2 = 4*d. Put 0, w, q in descending order.\nAnswer: 0, w, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 365 = 4*m - 247. Differentiate m*l**2 - 26 + 142*l**2 - 306*l**2 wrt l.\nAnswer: -22*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 180282711?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 8 = 3*u - 71, -5*v + u = 71. Let q = v - -17. What is the first derivative of 0 + 12 - 30*m**q - 9 + 18 wrt m?\nAnswer: -60*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 27 = -5*f, 5*w - 15 = 2*f + 2*w. Let x be 6\/(-9) - 8\/f. Find y such that 18 - 4*y + 4*y + y**x + 8*y - 2 = 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 10*y**2 + 4*y + 22. Let t = -97 + 101. Let i(q) = 9*q**2 + 5*q + 22. Let o(b) = t*i(b) - 5*k(b). Find the first derivative of o(c) wrt c.\nAnswer: -28*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 - 35*m + 55. Calculate the remainder when 1702 is divided by u(34).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.591176 decades in years?\nAnswer: 5.91176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*v**2 - v - 3*v + 17398 - 17399 to w*v + t + l*v**2 and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 97, 101, 111, 127?\n\"Answer: 3*i**2 - 5*i + 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.33 - -0.07. Which is the biggest value? (a) 5 (b) v (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5 - (3 + 0 + -2). What is the units digit of 10\/c*((-474)\/(-15) + -4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 934 to the power of 1\/2, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20 + 25. Suppose f*h - 49112 = 4*v, -5*h = -3*h + 4*v - 19628. Suppose 0 = -2*w + 5*w - 15, -4*w + h = -2*k. Round k to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6a (base 12) to base 9\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000101 + -100000001111111?\nAnswer: -100000000111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -9*v + 10*v. Let d(b) = b**3 + 4*b**2 - b + 2. Give d(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 - -3. Let c be (-2)\/4 - 21\/m. Differentiate -3*l + 3*l**2 - 4*l**2 - 3 + c*l with respect to l.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.1 + 0. Let r = 1.8 + -1.1. Let h = r - 0.3. Which is bigger: h or q?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4156 and 160818?\nAnswer: 334179804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2937*b**2 - b**4 - 2941*b**2 - 4*b**3 + 2*b**3 + b + 4*b to the form a*b**2 + l*b**4 + m*b**3 + w*b + j and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2*((-30)\/4)\/(-5). What is the derivative of h*a - 4 + 1 - a - a wrt a?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.1, -4, 44, -9, -3\/5?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 - 2*h**2 - 16*h + 2. Let g be y(11). Let i = g - 479. Suppose 368 = 6*d - i. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6839 - -10368. List the prime factors of d.\nAnswer: 3529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-36)\/135)\/(4\/(-10)). Let t(j) be the first derivative of 2 - g*j**3 + 1\/4*j**4 - 3\/2*j**2 - j. Determine t(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 at most 95?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -32220310 (base 5) to base 8\nAnswer: -1025465","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 3:35 AM?\nAnswer: 4:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -2 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62500 = -5257*l + 2132*l for l.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -43*g - 4. Let h be r(4). Find the common denominator of -15\/22 and 196\/h + 3\/(-4).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -2*z + 128. Suppose 6*x + 8 - z = 0. Solve -x*h = 5*j + 20, 2*j - 3*h = -2*j + 15 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2397, 4756, 7043, 9222, 11257, 13112?\nAnswer: 14751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -19b9d + 48?\nAnswer: -19b55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -69 + 78. Suppose 0 = -l + 12 + t. Let f = 24 - l. Solve 5*x = 13 - f for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 + -3. Let t = 19613.116 - 19608.1159948. Let b = t - o. Round b to 6 dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 15\/(-10)*2 + 7. Suppose -105 = g*p - 21. Which is bigger: p or -22?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 84*i**2 - 9*i + 46. Let a be g(6). What is a rounded to the nearest one hundred?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100011101000101011100011 (base 2) in base 16?\nAnswer: -8e8ae3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.62 + 4.38. What is the second smallest value in -2\/81, -2\/3, -4, b?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-22610)\/76)\/(-85) + (-2)\/(-3) + (-593)\/142?\nAnswer: -2\/213","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1371\/12 - 1\/4. Suppose f = -32*g + 33*g. What are the prime factors of g?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236267 to the power of 1\/3, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-3*sqrt(5))**2 - (sqrt(500) + -4)**2.\nAnswer: -475 + 80*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 114055 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + -4. Suppose -2*d + 12 = t*d. Suppose -5*p - j = -108, -3*p - d = -4*j - 77. Is p a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 5, t: 6, b: 2}. Give prob of sequence twb.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 3*p, 10 = -5*g - 0*g - 4*p. Let d(f) = 4 - 3*f + g*f + 12 - f**3. Calculate the lowest common multiple of d(0) and 8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Work out -54498 * -0.4.\nAnswer: 21799.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a day in minutes?\nAnswer: 26640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 - (-1 - (-4)\/2). Sort -2, p, -3.\nAnswer: -3, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + -c624?\nAnswer: -c625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -4268*b + 8810. Give x(2).\nAnswer: 274","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 29*i**4 - 4199*i**3 + 145058*i**2 + 506604*i + 98568.\nAnswer: (i - 74)**2*(i + 3)*(29*i + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 1 = 3. Let f(o) = -o**3 - o**2 + 4*o + 3. Let u be f(-4). Let w = 244\/7 - u. Is n less than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 - 10*q**2 - 12*q + 11. Let r be c(11). Suppose -3*f = s, -2*s + r*s + 22 = -5*f. Calculate the remainder when 10 is divided by s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 PM and 1:00 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 8998 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 5:56 PM?\nAnswer: 1:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -3300 (base 4) to base 2\nAnswer: -11110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 431828 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((45690\/(-36))\/(-5) + -4)*6. What is the third derivative of -n*r + 2950*r - 1525*r - 34*r**3 + r**2 wrt r?\nAnswer: -204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 3*u + 13. Suppose 4*w - 11*w + 21 = 0. Calculate the remainder when w is divided by o(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 5 = -y, -18*y + 22*y = -2*x - 6. Put -32, 3, x, 1, -5 in descending order.\nAnswer: 3, 1, x, -5, -32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (103 - (65 + 14)) + -13?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -7*i**2 + 2*i. Let x(g) = 21*g**2 - 7*g. Determine -7*n(z) - 2*x(z).\nAnswer: 7*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -60516637.5268+5\nAnswer: -60516632.5268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/(-120) + (-528)\/(-3510))*3.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 PM and 3:16 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54955951.\nAnswer: 17, 190159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -54*f**2 + 371*f + 226*f - 103*f + 153 - 57 + 798*f = 0.\nAnswer: -2\/27, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 330 + 379 + 386 - 1476 + 381 - 9*l**3.\nAnswer: -9*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -13269, -850.\nAnswer: -13269, -850, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 145*l**4\/4 + 43937*l**3\/4 + 148559*l**2 + 504907*l + 6936 = 0. Calculate l.\nAnswer: -289, -8, -6, -2\/145","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 69327666?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 + 7. Solve -3*q + 2*t + 1 = -1, -3*q + t + 7 = g for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 5*u**3 - 11*u**2 + 4*u - 47. What is the tens digit of l(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5121 - -5124. Solve 19*f - 17*f = 2*x, -4*f = j*x + 14 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = -4*z - f + 17, -3*f = 2162*z - 2164*z + 13 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - x - 7 = 5*g, -5*x + 4*g + 23 = 0. Let l be 920\/65 + 4\/(-26). Let w = -24 - -52. Solve x*n - n = 4*i - l, -n + w = 5*i for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 22*f**3 + 93*f**2 - 20*f + 281?\nAnswer: 132*f + 186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 3*s. Let j(i) = -3*i**3 + 5*i**2 + 3*i - 8. Let o(b) = b**3 - b**2 - b - 1. Let x(g) = j(g) + 4*o(g). Calculate x(s).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 430 a factor of 425270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -57*(-2)\/(-34)*-17.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0.1, -1589, 0.15, -4 in increasing order.\nAnswer: -1589, -4, 0.1, 0.15, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 0) + (3 - -35) + (14 - 19).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/d**(-17))\/d)\/(d**(-13)\/d))\/(((d\/(d*d**12)*d)\/d*d)\/d**(-3\/2)) assuming d is positive.\nAnswer: d**(81\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 115, 232, 349, 466, 583, 700?\nAnswer: 817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the third derivative of -1\/70*b**7 + 0*b**5 - 2 + 1\/6*b**3 + 2\/3*b**4 + 0*b - 1\/40*b**6 + 25*b**2. Find the second derivative of r(n) wrt n.\nAnswer: -36*n**2 - 18*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6\/17059 + -47680049\/409416. Let j = 117 + g. What is the common denominator of j and 13\/27?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 PM and 8:23 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 2*f - 4 = 0, 8 = 6*s - 4*s + f. Suppose s*t - 201 = -t. Calculate the remainder when t is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21136284.\nAnswer: 2, 3, 13, 19, 2377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 + 6*t - 5. Let b be p(-7). Let u be (5\/b)\/((-1)\/(-6)). Let l be 3\/15 - (-42)\/u. Put -5, l, -3 in ascending order.\nAnswer: -5, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30, -22, -4, 30, 86, 170, 288, 446?\nAnswer: 650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 AM and 3:53 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 1094?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.0971 rounded to 1 dp?\nAnswer: 10.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 12:46 AM?\nAnswer: 5:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 12640766 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 306 + 31. Let n = i - 22. Are n and 32 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 2\/5, 1\/4, 3, -2\/13, 0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2*g - 4. Let w(n) be the third derivative of -n**5\/60 + n**4\/3 + n**3 - 5*n**2. Let r be w(8). Let f be (-27)\/r*4\/(-6). Determine h(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 7275432038 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 755 - -2?\nAnswer: 757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9039?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 13 or -76?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the third derivative of 5*j**4\/8 - j**3\/2 - 2*j**2. Let z be p(4). Is (z\/(-12))\/(1\/(-4)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7 - 11b829?\nAnswer: -11b833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, 1, -0.25?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.5444792 nanoseconds in hours?\nAnswer: 0.000000000000429022","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81 is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.3997 and 3?\nAnswer: 7.1991","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1610999 is divided by 1036.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.05 (b) -0.0224 (c) 0.8 (d) -11\/4 (e) 4 (f) -2\/9\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = 713*h - 720*h. Put -3, h, 3, 1 in descending order.\nAnswer: h, 3, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 6 - 2 + 1 + 2 - 2 + (1 + 2 - 1)*(-2 - 1 + 2) - 3 + 4 - 2 + 2 + 3 + 24)*(-13*q + 2 - 3*q + 27*q).\nAnswer: 319*q + 58","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 + 30*f**2 - 125*f + 30. Let h be (2\/7)\/((-602)\/(-52675)). Determine k(h).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.1457 to zero decimal places.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5597 (base 14) in base 15?\nAnswer: 45dd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v. Let c(h) = 475*h. What is c(y(j))?\nAnswer: -475*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -321, -449, -613, -831, -1121, -1501, -1989?\nAnswer: -2603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 1. Let y be 0 + (-4)\/(j\/9). What is the remainder when 8 is divided by 6\/y*3 + 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2*m**3 + 93*m**2 + 194*m + 149. Calculate g(-44).\nAnswer: 1293","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -14634, 4, -2\/3, 0.39, 3, -0.1?\nAnswer: -14634","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -168 - -225. Let w = -81 - -93. Calculate the remainder when l is divided by w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 7 + 6)*(4*o + 0*o - 5*o).\nAnswer: -6*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) -25.217 (c) 0.2 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 23 and 151.74.\nAnswer: 3490.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 3 l when four letters picked without replacement from {l: 7, t: 3}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 p, 1 j, and 1 i when four letters picked without replacement from {p: 1, a: 1, j: 1, b: 2, q: 2, i: 2}?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -50*(61\/(-90) + 162\/(-729)). Determine y so that x*y**3 + 27\/2*y**4 + 66*y**2 + 36*y + 0 + 3\/2*y**5 = 0.\nAnswer: -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 0 + -4 + (sqrt(156)*1)\/(sqrt(9)\/sqrt(3)*-4).\nAnswer: -2 - sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/28 and 6\/(-20)*(-385)\/602?\nAnswer: 1204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1133.32 + -1115. Let d = -19 + y. What is d rounded to 1 dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67417 - 51194 = -69*n. What is the third biggest value in -0.1, 1, n?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of -s**5\/60 - s**4\/4 + 2*s**3\/3 + 7*s**2\/2 - 4. Let u(b) be the second derivative of q(b). Calculate u(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21206 - -21205. Let y = -1034090\/141 - -7334. Let f = -544\/705 - y. Which is bigger: t or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 146 = f - h, 168 = 5*f - 4*h - 562. Let u = -149 + f. Let q(z) = -z - 3. Give q(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (4*(sqrt(15) - sqrt(135)) - sqrt(15))\/sqrt(3))*-6 - (sqrt(125) + -1 + 5 - (-4 + (sqrt(125) - sqrt(125)*-3)))**2.\nAnswer: -1189 + 294*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3319969?\nAnswer: 3319969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - -9. Let a be (2 - 0)\/((-6)\/(-9)). Suppose 4*j - 3*h = 101, -p*h + 0*h = -a*j + 74. Calculate the remainder when j is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -171573, -343308, -515043, -686778, -858513?\n\"Answer: -171735*v + 162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 + l + 7. Let p be z(2). Solve p*c - a - 2*a - 3 = 0, -5*c = 5*a + 5 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 51227800*z**4 - 64262996*z wrt z?\nAnswer: 614733600*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tddgtdgvidtgtgggg. Give prob of picking 1 v and 1 d.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 39, 3, 9, -5 in decreasing order.\nAnswer: 39, 9, 3, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -81*d - 314. Calculate z(-3).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*r = 9*r - 385865 - 111541. What is the ten thousands digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 4*h - 18. Let n(t) = 15*t**2 + 1 - 6*t**2 - 17*t**2 + 7*t. Let o(p) = -23*p**2 + 20*p + 3. Determine h*o(z) + 17*n(z).\nAnswer: 2*z**2 - z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.8 + -0.2. Let o = -1.7788 + -0.2212. Which is the third smallest value? (a) f (b) o (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93961103 = 70*m + 93969083 for m.\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 123175783 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of 19*k - 1 + 1 + 2*k**2 - k**2 - 2. Let y be s(-7). What is the highest common divisor of 5 and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2\/7 + 10056*n\/7 - 10058\/7.\nAnswer: 2*(n - 1)*(n + 5029)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + 6577?\nAnswer: 657c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, -2, -20, -13, -1.26, -4 in descending order.\nAnswer: 1\/2, -1.26, -2, -4, -13, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1316579 and -16.\nAnswer: -21065264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 492\/2741 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 30 = m, 16*m + 14*m + 390 = 5*r + 19*m for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 494910714?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (44 - 75) + (13 - (18 - 9)).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2643, 5460, 8273, 11082, 13887, 16688?\n\"Answer: -2*t**2 + 2823*t - 178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 780*c + 1 + 11 + 1 - 22.\nAnswer: 780*c - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17850 + 8604 = 2*f. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 + -7. Suppose 4*c - 2 = 2*t, -3*t + z*t = 5*c + 14. Calculate the remainder when ((-19)\/t)\/(2\/6) is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-35)\/35*(-3)\/(18\/(-3))*40\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 95 from -17.88218.\nAnswer: -112.88218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30133583?\nAnswer: 43, 700781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*r = 21*r - 10. Suppose h - 3 - 1 = 0. Solve -2 = h*l + r for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 take away -333751?\nAnswer: 333751.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 108538?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -2*f**2 - f + 2. Let b(y) = 8*y - 180. Let n be b(23). Let v(t) = 2*t**2 - 2. Determine n*v(d) + 5*i(d).\nAnswer: -2*d**2 - 5*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -4*n + 13 - 57, -5*c + 20 = 0. Let x = 1707 - 957. Let p be (x\/n)\/(2\/(-24720)). Round p to the nearest 100000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**6*l**(-2)*l)\/(l**(-4\/5)*l**(2\/11)) assuming l is positive.\nAnswer: l**(309\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*i**3 - 7*i**3 + 1 - 10*i**3 to y*i**2 + t + o*i + u*i**3 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 1144 divide 5111392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -126, -143, -172, -213, -266, -331, -408?\n\"Answer: -6*v**2 + v - 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55952 is divided by 1399?\nAnswer: 1391","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (16 - (4 + -1)) + -4. Let c(m) = -m - b + 21 + 19. Let t be c(13). Calculate the highest common factor of 45 and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1036 is divided by 122?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 280 + -279. Is v at least as big as 0.019?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 3*q - 5*m + 3, 5*m + 40 = -2*q. Let b(o) = 3*o + 33. Let n be b(q). Solve -2*s + n*s - 1 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_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: What is the ninth root of 7506598 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6280 and 10990.\nAnswer: 43960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3423378169.\nAnswer: 3423378169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-32)\/(-63) + 4\/(-14). Let f = -2.69 - 0.31. Which is the second smallest value? (a) r (b) f (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 - 4*b - 6. Let i be l(-4). Let n be (-1895)\/i + (-1)\/(-6). What is the common denominator of (n\/110)\/((-8)\/(-10)) and -11\/10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (192\/20)\/(1461\/12175*(-190)\/(-4)). Factor -62\/19*o + c + 28\/19*o**2 + 2\/19*o**3.\nAnswer: 2*(o - 1)**2*(o + 16)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.995 + 42.895. Let y = -41.89654 + b. Round y to 4 decimal places.\nAnswer: 0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*((b\/(b**(2\/19)\/b*b))\/b)\/b*b**2\/b)\/(b**(-6\/7)*b**(4\/7)\/b*b))**(-43) assuming b is positive.\nAnswer: b**(-6751\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 176848 + -112865. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14.3 + -31199379275.2\nAnswer: -31199379289.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28705*w + 28705*w - 127*w**2 + (w - w + w)*(2 - 2 + w)*(0 + 2 - 1) to the form o + h*w**2 + y*w and give h.\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13442268 + 20157732. Suppose 21*m + c = 14*m. What is m rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 9*s**2 - 24*s - 553. Let l be v(27). What is the highest common divisor of l and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 8 = 8*t. Suppose 431 = t*h + h - 2*v, 570 = 4*h - 5*v. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1540 = 22*q - 27*q. Is 28 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 2*y + 0 = 4, 5*z = 5*y. Let v(a) = 0*a + 14205*a**2 - 4 - 14207*a**2 - 5*a**3 + 2*a. Let u(r) = -r**3 + r - 1. Determine z*v(g) - 2*u(g).\nAnswer: -3*g**3 - 2*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -18882085.7021 and -752?\nAnswer: 18881333.7021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, s: 2, o: 1}. Give prob of sequence os.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 10) in base 2?\nAnswer: -1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/342*(-11085)\/(-22170)*((-3)\/2)\/(-3)?\nAnswer: -1\/171","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 h when four letters picked without replacement from {q: 2, h: 4, p: 5}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -3*o - o - 9, -2*u - 2 = -3*o. Put 5, -5, -1, o in increasing order.\nAnswer: -5, -1, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2420.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -970821 + -2?\nAnswer: -970823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 212551?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 550\/17 + -1831\/34. Calculate the common denominator of (0 - 3261\/1200) + (0 - -3) and n.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(500) + 1 + -2)**2 - sqrt(500))*-6 + 1 + (1 + sqrt(500))*6)*1*2.\nAnswer: -5998 + 480*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6413*d*n**4 + 594712*d*n**2 + 11632*n**6 + 303*n wrt n.\nAnswer: 153912*d*n + 1395840*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 0 + 4)*(117*i + 12*i**2 - 117*i + (3 + 0 - 1)*(-i**2 - 3*i**2 + 3*i**2) + i**2 - 2*i**2 + 0*i**2) as g*i**2 + z + s*i and give g.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*g**5 - g**5 + 2*g**5 + (-6*g**4 + 6*g**4 + 2*g**5)*(-5 + 2 + 2) - g**5 + 3*g**4 - 3*g**4.\nAnswer: -5*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the third derivative of 1\/8*k**4 + 0 + 0*k**3 - 4*k**2 + 0*k. Let y(r) = 2*r**2. Determine y(w(z)).\nAnswer: 18*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a and 1 s when four letters picked without replacement from wuaaaausss?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 921419 and 34079.\nAnswer: 643","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*t - t + t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -12*y + 30. Solve -3 = 5*b - t, -1 = y*b - 2*t - 2 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 62*x - 106 wrt x?\nAnswer: 62","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -322 - -387. What is the remainder when 255 is divided by z?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.01*318.46478\nAnswer: 3.1846478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 - -5.6. Let k(y) = 4*y**3 - y**2 - y + 1. Let f be k(1). Let t = -29.6 - -28.6. Put 5, t, n, f in decreasing order.\nAnswer: 5, f, n, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, 3\/4, -37 in descending order.\nAnswer: 3, 2, 3\/4, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18 + 25 + 256904*i**2 - 256903*i**2 to the form m*i + r*i**2 + c and give c.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.54 + -0.24. Which is the nearest to -2\/5? (a) l (b) 4\/7 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 5:51 AM?\nAnswer: 7:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 747362337?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 238 and 1498.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, -3, 3, -71 in descending order.\nAnswer: 5, 3, -3, -4, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or 8315248?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48 = 21*k - 9*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2046970.\nAnswer: 2, 5, 17, 12041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.31001 to 2 decimal places.\nAnswer: 1.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.336671ml to litres.\nAnswer: 0.004336671","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 339035 is divided by 38.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 39, -148, -59, -1\/9 in decreasing order.\nAnswer: 39, -1\/9, -59, -148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 + 2*t - 15. Give n(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -4994*w - 3. Let u(l) = -14983*l - 10. Let d(z) = 3*u(z) - 8*y(z). Let q be d(2). What is q rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -247, 8546, 17339, 26132, 34925, 43718?\nAnswer: 52511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 75 - 31)*(-5*a + 0*a + 3*a).\nAnswer: -80*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -3*((sqrt(432)*-4)**2 + sqrt(12) + -2).\nAnswer: -20729 - 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 PM and 4:50 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 217 is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 28 = -72. Suppose 4*p = -p + u. Suppose -p*a - 363 = -4*l + 289, 0 = -l - 3*a + 155. Does 21 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26662773 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 12*f. Suppose 17*y = 14*y - 180. Let b be 3*(y\/18 + 3). Let p(d) = d. Let z(u) = u**2 - 7*u + 7. Let s be z(8). Give b*t(v) + s*p(v).\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6813 divided by -3.\nAnswer: 2271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 13711358819 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28068?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2588 = -14*m + 2448 for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 604078067 to the nearest integer?\nAnswer: 845","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 7838096594?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7496 + 15923. List the prime factors of p.\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2011301 (base 6) to base 15.\nAnswer: -1d1dd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 15205 (base 6) in base 7?\nAnswer: 10103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2 + m + 1. Let h(c) = -4*c**2 + 3*c + 1. Let l(x) = x - 8. Suppose 5*a - i = 31 + 14, -4*a = 2*i - 36. Let o be l(a). Calculate o*h(z) - 3*t(z).\nAnswer: -z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = f - 43313, 3*p - 21353 = 4*f + 4644. List the prime factors of p.\nAnswer: 8663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/(-6))\/(2332\/(-6))*-190. Let a = s + 2\/53. Put a, 3, 2 in decreasing order.\nAnswer: 3, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*w = 26*w + 23*w + 4, y + w = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**5\/2 - 267*u**4\/2 + 765*u**3 - 1506*u**2 + 996*u.\nAnswer: 3*u*(u - 83)*(u - 2)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 - -54. Suppose -5*j + 18 = 2*u - 17, -5*j = -5*u + k. What is the highest common divisor of 3 and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - -3)*(-2)\/(-3). Suppose 5*o + 4 = o. Let k = z + o. Sort -3, 0, k in descending order.\nAnswer: k, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37 - 44 = -7*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m + 142 - 44 - 47 - 51.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 - 24*o + 7. Let t be n(24). Suppose 0 = -l - 4, 2*l = -2*b + t*b - 1903. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*f**3 + 66*f**2 + 15*f - 66.\nAnswer: -3*(f - 1)*(f + 1)*(5*f - 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-2)*4\/(-27)*(-225)\/(-120)*-60?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7399 and 1274?\nAnswer: 192374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-five quarters of a kilogram?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 159667?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 170 + -169.5. Let d = -0.139 + 0.029. What is the second biggest value in -1\/3, d, p?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -2*n**2 + 2718*n - 58828. Calculate z(22).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Is 74730773 a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/80 in 230, -5, 6, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-36)\/(-12) + (-4 - -1). Let x = 61 - 37. Let b = x - l. Is b a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.22 * -28\nAnswer: 6.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*i = -154*i + 345*i + 6570 for i.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4*(-2)\/(-24))\/(20\/12)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2007, 2008, 2009, 2010, 2011?\n\"Answer: z + 2006","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(112) + sqrt(7) + (sqrt(7) - (sqrt(126)\/sqrt(2))\/sqrt(9)))*5)**2.\nAnswer: 14175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*80\/45 + -2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = r - 5. Let a be (-74)\/r + (-4)\/(-10). Let j(v) = -v**3 - 7*v**2 - v - 7. Let k be j(a). Which is smaller: -3\/4 or k?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 46\/35 - 289\/140. Let d = -2.2 - -0.2. Which is the closest to d? (a) 3 (b) y (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2155126 (base 8) in base 3?\nAnswer: 1002110212020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 250220135?\nAnswer: 5, 11, 413587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -52*w**2 + 4*w + 5. Let j(t) = -t**2 + t + 1. Determine g(d) - 4*j(d).\nAnswer: -48*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 429792 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 718 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 46620 and 180.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*h = -15*h + 110. Let d = -160 - h. Let j = -32 - d. What is the remainder when 65 is divided by j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 10:01 PM?\nAnswer: 1:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 9851994 to the power of 1\/3, to the nearest integer?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 4*r - 14. Solve -1 = r*d - 10 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5299108?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eee when three letters picked without replacement from {s: 1, e: 9, u: 6, d: 3}?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-9)\/(-15) + ((-36)\/(-15))\/(-4). Factor -40*l**2 - 25*l**3 + m*l - 5*l**4 + 2 - 2 - 20*l.\nAnswer: -5*l*(l + 1)*(l + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 2\/5, 24, -0.5, 2, 385.\nAnswer: -0.5, -2\/7, 2\/5, 2, 24, 385","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4431 is divided by 22.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2341504 to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3\/9 + 8*y**2\/3 - 32*y - 384.\nAnswer: 2*(y - 12)*(y + 12)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 5*i - 128 = -173, -5*i + 27 = 4*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 3 = 0, -4*b + b = 3*a - 498. What is the tens digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.8 + 749.88151\nAnswer: 752.68151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*y + 4*d = 19*y + 95, -5*y = -d + 20 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 67*k. Let m(a) = -12*a**2 + 334*a + 32. What is j(m(d))?\nAnswer: -804*d**2 + 22378*d + 2144","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -t**3\/2 + 1727*t**2\/2 - 29610*t = 0.\nAnswer: 0, 35, 1692","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 13*g**3 + 97*g**2 + 131*g + 673. Calculate a(-7).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9013?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kevvhsis. Give prob of sequence ss.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 38 and 24332179.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -2*f, 4*p - 5*f = 2 + 31 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 24484.847 rounded to the nearest ten?\nAnswer: 24480","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1010141 - -301310?\nAnswer: 1312001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -101867 (base 10) to base 14\nAnswer: -291a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + (-14 - 20 - -17).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(176)*-3)*3*-6*-2 + -5.\nAnswer: -432*sqrt(11) - 149","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -4*v + 3*v - 2 + 4*v - 4*v. Let o(t) = 38*t - 3417. Let d be o(90). Give b(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2*5*2\/20. Suppose 0*c = 4*c - a - 33, 4*c + a = 23. Let n be 1 + c*(-1)\/3. What is the second biggest value in -3\/5, n, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 11*j - 68*j + 32*j as g*j + q and give g.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2745651729?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -177*l**2 - 5*l**3 + 185*l**2 - 4*l**3 wrt l?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 357.7584 centimeters?\nAnswer: 3577.584","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -97, -87, -111, -187, -333, -567, -907?\n\"Answer: -3*f**3 + f**2 + 28*f - 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4 - 3)*-1*8. Let d = o + 11. Let n(v) = -10*v + v**3 - 3 + 10*v - 2*v**d + 5*v**2. What is n(4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jkjjkjjjj. What is prob of sequence jkjk?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001965189 to 7 dps.\nAnswer: -0.0001965","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (1 - 0) - 0 - 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -19*b - 116 + 61 + 54 - 98*b**2 + 19*b. Let r(a) = 11*a**2. Calculate z(r(j)).\nAnswer: -11858*j**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 876?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -390513 - -0.1404\nAnswer: -390512.8596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-242)\/22 - ((-77)\/(-10))\/(116\/(-290)).\nAnswer: 33\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/7 + (-4)\/14. Suppose s = -11*u + 6*u. Solve -2*m + 5*m = u for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 180971 to the power of 1\/3, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9849142?\nAnswer: 2, 4924571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/14? (a) 8\/16185 (b) -0.1 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -2 - 10*q + 9*q + 4*q + 3*q. Let o(l) = -12*l + 3. Let f(g) = 3*k(g) + 2*o(g). Let a(b) be the second derivative of -b**4\/6 + b. Calculate f(a(y)).\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1990130320 to the nearest integer?\nAnswer: 44611","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/2 (b) 3 (c) -19.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**4\/4 - 305*v**3\/2 + 459*v**2 - 919*v\/2 + 613\/4.\nAnswer: -(v - 1)**3*(v + 613)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 120 - -144?\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 3*v, 3*v = -d + 7. Let u be (-2)\/(3 - d)*60. Suppose -u*h - 20 = -34*h. Solve -2*t + 6 = -r + 1, 0 = -5*r + 5*t - h for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 31006984?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(143)*2 + sqrt(143))*-2)\/(-6*sqrt(176)*2).\nAnswer: 11*sqrt(13)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 6*i**2 - 5*i + 2. Let z(y) = 24*y**2 - 20*y + 8. Let k(t) = 9*b(t) - 2*z(t). Let g(x) = 17*x**2 - 14*x + 6. Give -4*g(w) + 11*k(w).\nAnswer: -2*w**2 + w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -311 (base 4) to base 10.\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 18, 8, 12, 36, 86, 168?\n\"Answer: l**3 + l**2 - 20*l + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/(t\/(((t\/(((t\/(t\/t**13))\/t*t)\/t))\/t)\/t*t)*t))\/t)**(-39)\/((t**26\/t*t)\/(t*t\/t**(6\/31))) assuming t is positive.\nAnswer: t**(14967\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 40194816 to the nearest integer?\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -j**2\/3 - 6125128*j - 28137894762288 = 0.\nAnswer: -9187692","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.0231 + -0.0231. Which is the closest to g? (a) 10\/3 (b) 2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of j**6\/120 + 7*j**5\/30 - j**4\/3 + 10*j**3\/3 - 2*j**2 + 4852*j. Calculate i(-15).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(5*(5 + -1 + -3*(sqrt(200) + 2) + sqrt(200))*-2)**2.\nAnswer: 16000*sqrt(2) + 160800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 4*x + 5928, -4*n - 2*x = -6*n + 5922. Suppose -4402 - n = 8*v. Find the common denominator of -87\/22 and 6\/(-10) + (-759)\/v.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -573\/7 + 82. Let z = -29 + 21. Let r = 9 + z. What is the third biggest value in g, r, 2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 - 17 = -14*l. Calculate the remainder when ((-6)\/(-10)*-2)\/(l\/60) is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from trxxxxtxtxxxaxrxtxa. What is prob of picking 2 r and 1 t?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of 1\/30*l**5 + 0*l**2 + 0*l - 1\/18*l**3 - 9 + 0*l**4. Find j such that x(j) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 30857 to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**2 - 7*w + 5. Let f(a) = a**2 + 6*a - 5. What is -6*f(d) - 5*x(d)?\nAnswer: -d**2 - d + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 12 + (-32 - -16).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.947 + 1.05. Let h = 1.237 - 0.524. Let x = h - a. What is x rounded to one dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-10)\/(-6))\/(51\/4590)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 12 = -l + 2*h, l + h = -8 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 11 - 1. Calculate the remainder when m is divided by 7\/(-9*49\/(-126)).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -28 (b) -1 (c) -45\/2 (d) 3 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 16 + -14 - (-6)\/(-1). What is the third smallest value in 0.5, -0.3, i?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8794040?\nAnswer: 2, 5, 219851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 65490 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 24 = 3*s - 84, 5*s = 3*h + 168. Solve -3*k - 7 + 13 = f, -5*k - s = -5*f for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 + 6*x + 11. What is z(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1444 and 10564.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -68 - -100. Suppose 5*i = -0*y + y + 74, -c = -2*i + y. Suppose i*f - 18*f = -36. Solve 0 = -f*u + 4*u - 3*a - 22, -18 = -u + 5*a for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 - 13*n**2 + 13*n + 6. Suppose -50 = 5*g + 20. Is 4 a factor of i(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.04 and -31501.\nAnswer: 1260.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 26*o**2 - 7*o + 9. Is q(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27633810683 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, -24, -24, -8, 30, 96?\nAnswer: 196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 217 and 2609270?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-6*-1*sqrt(156)*5)\/(((-2*sqrt(168) - sqrt(168))\/sqrt(7))\/(2*sqrt(32))).\nAnswer: 80*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 157 + -88. Suppose q + 7 - 4 = 0, 4*s - j = 3*q. What is the smallest common multiple of (10\/s)\/(2\/99) and 24?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -93 - 94 + 1464*q + 186 - 9453*q - 7858*q to s + x*q and give x.\nAnswer: -15847","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2412857*w**4 + 1670463*w.\nAnswer: -28954284*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10211013 (base 5) to base 10.\nAnswer: 85133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 9*a - 16 = 4*q, -5*q - 11 = -2*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (52*7\/1456)\/(54\/(-4)).\nAnswer: -1\/54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -0.5 (b) 8 (c) -2 (d) 1084\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 522984 a multiple of 264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -34*g**2. Let c(k) = -15*k + 699. Determine c(p(v)).\nAnswer: 510*v**2 + 699","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4a (base 16) in base 10?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3*1488.634\nAnswer: 4465.902","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 5.9243 times -4\nAnswer: -23.6972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11602508?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 37233 and 19278?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 2:54 PM?\nAnswer: 7:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 847 is divided by 33.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -11*b + 11*b + 4*b**2. Let i(g) = -2*g**2 + 5*g - 4*g + g. Let t(v) = -v. Let k(o) = i(o) + 2*t(o). Calculate k(x(w)).\nAnswer: -32*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1196323 at least 1196324?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 4015, -4, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 292*b**4 - 292*b**4 - 33*b**5 + (0*b - 2*b**2 + 0*b)*(-14 + 14 - 35*b**3) - 2*b**3 + 2*b**3 + 2*b**5.\nAnswer: 39*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 24*d + 69*s + 59 + 137 + 14, -s = -s + 5*s + 10 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 AM and 10:30 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 19690 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -7\/3, -10, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 449054.\nAnswer: 2, 224527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10110010010011001 (base 2) to base 6.\nAnswer: -1542345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - -6b110427?\nAnswer: 6b110425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002818599 rounded to six dps?\nAnswer: -0.002819","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of -3\/2*u**2 - u**3 + 3 + 0*u. Find the second derivative of i(a) wrt a.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 10*m - 10 = 0, -172*m + 163*m + 42 = 3*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2741 + -2737. What is the nearest to 2\/7 in 5, h, 0, -3.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16158?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 3*u - 6. Let i be 2\/10 - (-68)\/10. Let p be n(i). Let o be p*(10\/3 + -3). Solve -6 = 2*b, 4*b + 22 = -o*z - 0*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ekekckccxqqxk. Give prob of sequence qkek.\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 592 = -3*u. Let l be 4\/18 + u\/(-18). What is the units digit of (-42)\/l - (-4)\/(-16)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffffffffffffnffffff. Give prob of sequence fnf.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 25*u + 7*u - 32 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -35 + 231*z + 235*z + 233*z - 690*z. Determine q(13).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5)\/(-20) + 19\/4. Let q = h + 0. Find the second derivative of -2*t**q + 5*t - 2*t**5 + 0*t**5 - 3*t wrt t.\nAnswer: -80*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5181883 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 + 5*r**2 + r + 2. What is l(-5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2064, 4158, 6274, 8418, 10596, 12814?\nAnswer: 15078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-60)\/126)\/(88\/11*(-2)\/(-24))?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*z = 26*z + 34*z + 156 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 24.9 times 12\nAnswer: 298.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 121 * -659\nAnswer: -79739","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.668005329 to one dp.\nAnswer: 3.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 42048*m**3*o**6 + 58*m**3*o**2 + 725*m**3 wrt o.\nAnswer: 5045760*m**3*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 21 - 8b?\nAnswer: -6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -2 + (-7)\/(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 275014?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 1193456, -3\/4 in descending order.\nAnswer: 1193456, -3\/4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(3\/5)\/(p\/((p\/(p*p**5))\/p)*p) assuming p is positive.\nAnswer: p**(-37\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**5 - 5946*q**4 - 23748*q**3 - 23736*q**2.\nAnswer: -3*q**2*(q + 2)**2*(q + 1978)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-3) - -3)\/(4\/(-48)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(441)*3)\/sqrt(7) - ((sqrt(84) + (sqrt(84) - ((sqrt(84) - -2*sqrt(84) - sqrt(84)) + sqrt(84))))\/sqrt(12) + -4))**2.\nAnswer: 80*sqrt(7) + 716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*(0 + (7 - 2)). Let y(b) be the first derivative of 4\/3*b**3 + 1 - 1\/4*b**4 + 3*b**2 + 4*b. Calculate y(t).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of -2*p**5\/5 + 741*p**4\/2 - 1326*p**3 - 29. Find the third derivative of s(t) wrt t.\nAnswer: -48*t + 8892","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -266 - -267. Let m = 8.7 + -9. Which is the nearest to m? (a) q (b) 1\/4 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 3\/4 (b) 2\/11 (c) 1 (d) -13 (e) -40 (f) -0.33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and (-1 - -3)*(-2 - -4).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -476, -351, -226?\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8270758 divided by 4135379.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8 + -3*2 + 3. Let r be (-1)\/(-1)*(q + -3). Suppose -r*m + 0*m + 2*d + 2 = 0, -4*m = -3*d - 9. Solve 8 = 2*i - m*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 5*g + 34. Let k be o(-8). Let d(a) = a**2 + 5*a + 1. Determine d(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28*2124.\nAnswer: -59472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 399?\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 2*h**2 - h + 47. Let t(a) = 1. What is -c(q) + 6*t(q)?\nAnswer: -2*q**2 + q - 41","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 141100301 (base 5) in base 9?\nAnswer: 1320287","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 1432291?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12881?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*41046.\nAnswer: 410460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -d97bc + 4?\nAnswer: -d97b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 AM and 9:10 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 7. Suppose 20*o - 95 = 15*o. Suppose 3*w + 10 = o. What is the third smallest value in t, 1, w?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*g + 9*g - 65 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9566 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -4*c + 78, -a + 46 = c + c. Suppose -2*u = t - 12, -3*u - u - 3*t = -c. Suppose -2*p = -u*p + 15. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22678 + -15267. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8008*u - 37835.\nAnswer: 8008","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x - x + 0*x)*(-2 + 4*x + 2)*(2*x**2 + 2*x**2 - 2*x**2) + (160 + 19 + 30)*(2*x**4 + x**4 - x**4).\nAnswer: 410*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 227446?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do -277952 and 2\/15 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -722829, -722824, -722815, -722802, -722785, -722764?\nAnswer: -722739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 3) + 7 - 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 18 = -4*p - 2*x, p = 4*x - 6. Solve -2 = -0*n + p*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b - 4 + 11 = 0. Solve -3*h + 5 = -b for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42114?\nAnswer: 2, 3, 7019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 26 + 2 = 0. Let z(v) = -2*v - 6. Let p be z(-4). What is the highest common divisor of r and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22810?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the second derivative of j**5\/20 - 2*j**4 + 5*j**3\/6 - 5*j**2 + 37*j. What is the tens digit of o(24)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7\/32 or -2\/11?\nAnswer: -7\/32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -22 (base 12) to base 11\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 0, -1, -4, -9?\n\"Answer: -v**2 + 2*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - 0. Let f = -13 + 15. What is the units digit of 3*((-10)\/l + f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 107 + -60. Suppose 53*b**2 - 2*b**4 - 4*b - t*b**2 + 0*b**4 = 0. What is b?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of y**4\/12 + 10*y**3\/3 - 7*y**2 - 797*y. Determine n(-21).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17 + -4. Let o = n - 8. Calculate the remainder when o is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 q when two letters picked without replacement from eeeqkpzkkzdekz.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2 + 1)*(-a + 3*a - a)*(-86 + 138 - 76)*(-2 - 2 - 1)*(2 - 4 + 4) in the form g*a + r and give g.\nAnswer: -240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 + 0 - 2)*(4 + 0 - 6) + (2 + 3 - 4)*(3 - 1 - 4 + (-2 + 1 - 1)*(-2 + 4 - 1) + 1 - 2 + 2))*(-4*z - 37*z - 72*z).\nAnswer: 791*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 847*w**2 + 77*w + 23. Is a(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.315 from -72.\nAnswer: -71.685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 193 is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 + (-68 - -58) - (2 - -15).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -338528 (base 11) to base 8.\nAnswer: -2033367","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 19177 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1024 is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1942729*y**2 - 3893766*y**2 + 1951035*y**2.\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 + 6*b - 2. Let t be v(5). Let a = t - -2. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 0.289, -0.1, 3, -3.1 in descending order.\nAnswer: 3, 0.5, 0.289, -0.1, -3.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 9970 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9\/15*-1*-5. Suppose 0 = -s*u - 15, -2*d = 4*u + u + 29. Is d\/(-3) - 42291\/(-27) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - -5. Suppose a*c = 9*c. Solve 5*s + n + 5 = 0, c = 2*s - 7*s + 4*n - 30 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -171439 (base 12) to base 9\nAnswer: -663600","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**2 - 8*q - 1. Let v(p) = p**2 + 9*p. Let x(g) = 2*v(g) + 3*y(g). Calculate x(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y + 4080 = -2*y. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of c**3\/6 - 2*c**2 - 56*c. Give r(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -42 + 67. Suppose 0 = 3*a - 5*a. Solve 8*t - 3*t - q = a for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/3))**39\/(((i**(-5\/3)*i)\/i)\/i*i**(-2\/11)\/i*i)*i**(1\/12)*i**6*(i*i**(-4\/9))\/(i*(i\/((i**(-4\/3)\/i)\/i))\/i) assuming i is positive.\nAnswer: i**(7189\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1098, 4580, 10370, 18468, 28874?\nAnswer: 41588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i = 87 + 87. What is the remainder when 53 is divided by i?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - (-1 - -2))*-5. Suppose 5*t = 5*f + 75, t + 4*f - 215 = -185. Solve -2*y + m - t = -3*k, -3*y + k - 9 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 67184 and 29830.\nAnswer: 52739440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 2*j**4 - 94*j**3 + 1456*j**2 - 8360*j + 11616 = 0.\nAnswer: 2, 11, 12, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 49536 divided by 8?\nAnswer: 6192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4 + (1 + 1)\/(-2). Let w(u) = u - 1. Let p be w(3). Solve -o + t = -p for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25335?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.79809 - -0.8. Round t to three decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -27 - -38. Calculate the remainder when n is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d + 1. Let p(b) = -6*b + 96. Give p(v) - 8*u(v).\nAnswer: 2*v + 88","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2\/9 (b) -7 (c) -5253 (d) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 313 is divided by 110?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2e + -1049?\nAnswer: -1078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1469\/1830 + 51\/61. Let n(m) be the second derivative of 5\/12*m**4 + x*m**6 + 0 + 1\/5*m**5 - 10*m + 1\/3*m**3 + 0*m**2. Factor n(o).\nAnswer: o*(o + 1)**2*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 1948214669*m**2 + 1948214668*m**2 - 3896429330*m**2.\nAnswer: 7*m**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 5 = 19. List the prime factors of z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -14*x**2. Let w(p) = -1 + 134755*p**2 + 1 - 134902*p**2. Calculate w(k(f)).\nAnswer: -28812*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 69*o**3 - 566817*o**2 - 7087*o + 1708 wrt o.\nAnswer: 414*o - 1133634","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 78976061 - 23.22\nAnswer: 78976037.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -2*b**3\/11 - 15*b**2\/11 - 2*b + 15\/11 = 0?\nAnswer: -5, -3, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 176146213 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -18*p - 126. What is j(-9)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-29)\/(348\/72) - -6. Let w = 16 + -11. Solve x*g + 25 = w*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 - 5*j - 23. Let g be w(-7). Let u = g + 42. Suppose -q + 5*p + u - 2 = 0, 4*p = 4*q - 76. Calculate the remainder when q is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -268 = -3*w - x, 3*w - 286 - 12 = 5*x. Let b = 128 - w. Suppose 5*c = -k + 187, -2*c - 4*k - b = -119. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 8*g**3 - 3*g**2 + 3*g. Let i(k) = -72*k**3 + 28*k**2 - 28*k. Give 3*i(b) + 28*z(b).\nAnswer: 8*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2)*y*y**(3\/13)\/y)**(36\/11) assuming y is positive.\nAnswer: y**(-828\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 40.568845011 + 38797.384092989. Let d = s + -38838. Let i = d + 0.047. Round i to five dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (70\/(-28))\/(1\/2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one eighths of a litre?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 + 8*v - 1. Determine n(-8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/4*f**2 - 97\/2*f + 9409\/4.\nAnswer: (f - 97)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -0.4, 1, -2\/27?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24440 - 1.306.\nAnswer: -24441.306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*o = -16*o + 220 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23 + -27. Let w = -12239322.99969 - -12239273. Let g = w - z. Round g to four dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + -3. Let h = -4\/9 - -7\/36. Let j(d) = d + 1. Let i be j(-3). What is the closest to i in f, h, -4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 338 a factor of 103958660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(-4\/7)*p)\/(p**(1\/2)*p*p)*p**(-4)\/(p**6\/p))**(1\/22))**(-11) assuming p is positive.\nAnswer: p**(155\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 76*w + 19*w**2 - 470*w - 50*w**2 + 29*w**2 + 1 to f + y*w**2 + b*w and give b.\nAnswer: -394","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23106?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 + 12*n**2 + 30*n - 30. Determine i(14).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(3*(sqrt(891) - (sqrt(891)*-1 + 2) - sqrt(891) - sqrt(891)) - (sqrt(891) + sqrt(891)*1)*3*-4)**2.\nAnswer: -5184*sqrt(11) + 1026504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 + 1)*((-1 - -2) + 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -89 times 94440?\nAnswer: -8405160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2331307436 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 645 - 434. What are the prime factors of n?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2264713067 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-70)\/(-714) + 0)\/(2\/(-138)) - -7.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 0, -1, -4, -9, -16?\n\"Answer: -m**2 + 2*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 53462425 to the power of 1\/2, to the nearest integer?\nAnswer: 7312","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of -w**3\/3 - 11*w**2\/2 - 12*w - 4. Let r be i(-9). Suppose 0 = -4*n + 2 + r. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2.2194 < -17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are 575 and -3\/10 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10849932 and 23607?\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c**(-1\/9)*c*(c**(-11)\/c)\/c*(c\/(c\/(c*c**(3\/2)\/c*c)))\/c**(-5) assuming c is positive.\nAnswer: c**(-65\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*i + 209 = -24 + 71 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 2\/15 (b) -1\/19 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -57636, -57641, -57648, -57657, -57668, -57681?\n\"Answer: -x**2 - 2*x - 57633","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000073386467 to seven dps.\nAnswer: 0.0000073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**2 - 8*u - 9. Let w = 8 - 14. Let j be f(w). Let z be (2 + (-4 - -2))\/(-1). Solve -9 = -z*r - j*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3*(102\/(-561) - (-8876)\/(-66)). What is the derivative of 1477 - z - 482 + 240*d - 330 wrt d?\nAnswer: 240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -25*k**2 + 187*k + 3. Let r(z) = -25*z**2 + 125*z + 2. Let g(t) = 3*r(t) - 2*v(t). Let n(m) = m - 2*m - 2*m. What is n(g(i))?\nAnswer: 75*i**2 - 3*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91024 is divided by 28058.\nAnswer: 6850","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/11 or 3295?\nAnswer: 3295","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2b + -5?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**4\/5 + j**3 - 3*j**2\/5 - j + 4\/5.\nAnswer: -(j - 4)*(j - 1)**2*(j + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - 1. Let f = x - -7. Find the second derivative of 0*z - z + f*z**2 + 0*z**2 wrt z.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the second derivative of -o**5\/20 + o**4\/4 + 5*o**3\/6 + o**2\/2 - 5*o. Let t be u(4). Let y = t + -7. Sort -3, -5, y in increasing order.\nAnswer: -5, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 126 - 127. What is the third biggest value in j, 2, 4\/7, 0.005?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -3*x**2 + 3*x**3 - 1233*x - x**3 - 1 + 1231*x. Calculate a(3).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 4, i: 6, w: 4, l: 2, r: 1}. What is prob of picking 2 i and 2 w?\nAnswer: 9\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4*(-1)\/8*-25882?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*d = 2247 - 1312 - 1327 for d.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.13 + 5.13. Which is the second biggest value? (a) 1 (b) 4 (c) v (d) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 4524?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 5 + 2*n - 1 - 3 + n**2. Give r(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one fifth of a kilometer?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.4, 3\/4, 36, 5, -400, -1, 8.\nAnswer: -400, -1.4, -1, 3\/4, 5, 8, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 8*i = -26*i + 278320. List the prime factors of i.\nAnswer: 2, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2cc (base 14) in base 4?\nAnswer: 20330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 80800 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: Solve -v - 7 = 0, 23*m + 27 = 27*m + 3*v + 36 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -2*a + 3. Suppose 0 = l + l. Let d be u(l). Let n(o) = o - 2 + d - 3. What is n(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -5*f - 4. Let k be (0*(-2)\/4)\/f. Suppose -3*c + k*c = -3*z - 11991, 8012 = -2*z - 4*c. What is z rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 213\/127 at most as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/688 and 73\/32.\nAnswer: 1376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 64 = 2*k. Let x be 190\/4 + (-31)\/(-62). What is the greatest common factor of k and x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 213, 2 in descending order.\nAnswer: 213, 2, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t**5 + 0*t + 0*t + (-3*t**4 - t**4 + 2*t**4)*(-217*t + 65*t - 151*t) - 7*t**5 + 3*t**5 - 3*t**5.\nAnswer: 601*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*y + 4*x - 4, 73*y + 2*x = 74*y + 2 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/2*(22\/18)\/11.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*n = -30174 + 29994 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -2*r**4\/3 - 52*r**3\/9 + 10*r**2\/9 + 184*r\/3 - 56 = 0.\nAnswer: -6, 1, 7\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 797119 is divided by 398557.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2.3 and 7.2.\nAnswer: 9.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the third derivative of m**7\/420 + m**6\/120 + m**5\/120 + 63*m**2. Let r(t) = 0. Calculate t.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1605690498173 - 8\nAnswer: -1605690498181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12 in 9, 136, 1\/12, -1, -3\/4?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 14*f**2 - 301*f - 5025. Calculate o(-11).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1160, -1586, -1998, -2390, -2756?\n\"Answer: p**3 + p**2 - 436*p - 726","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + v = -2675, -2*v - 59 = -61. Is k a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12 + 14 - (-8 + 18)) + -55\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -60*f**4\/7 + 699*f**3\/7 + 1257*f**2\/7 - 8844*f\/7 - 2016 = 0.\nAnswer: -3, -8\/5, 4, 49\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 208 by -276395.\nAnswer: -208\/276395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w - 2*w + 0*w)*(-9*w + 7*w - 12*w)*(3 - 4 + 3 + 0 - 1 - 1 + 1 + 0 + 1 + (2 - 2 + 2)*(-2 + 4 + 0) + 3 - 1 - 3 - 32 - 16 + 9).\nAnswer: -952*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 35747, 71512, 107275, 143036, 178795?\n\"Answer: -b**2 + 35768*b - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 779299 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of l**3\/4 + 3237*l**2\/4 + 3492723*l\/4 + 1493. Suppose r(m) = 0. Calculate m.\nAnswer: -1079","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -103469.8 to the nearest 1000.\nAnswer: -103000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -3. Let d(n) be the second derivative of -n**3\/3 + 3*n**2\/2 + n. Let z be d(2). Which is greater: z or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23341718113 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 5440000 = -3*h. Suppose -14*b = -13*b - h. Round b to the nearest 100000.\nAnswer: 2700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110140267 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21388 - -11989. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6114?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -2*n**2 - 19*n - 12. Let v(x) = 2*x + 3. Let h be v(-6). Let s be j(h). Put 4, s, -5, 2 in ascending order.\nAnswer: -5, s, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(2\/7))**(20\/7)\/((y*y**(-2\/11)\/y*y)\/(y\/(y*y\/((y**(4\/9)*y)\/y)*y)*y)))**19 assuming y is positive.\nAnswer: y**(-51376\/4851)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23, 84, 185, 326?\nAnswer: 507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o + 2633 = l - 10*o, -7917 = -3*l + 3*o. List the prime factors of l.\nAnswer: 2, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (688\/43)\/(-240)*9.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -32, -16, 4, 28, 56, 88?\n\"Answer: 2*x**2 + 10*x - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -199, -3, 3, -1, 4.\nAnswer: -199, -3, -1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 + 61 = 4*b. Calculate the greatest common factor of b and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -336, 2\/3, -0.1, 3\/4.\nAnswer: -336, -2, -0.1, 2\/3, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000931584195 to six dps.\nAnswer: -0.000093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 35\/(-20) - -2*1. Let m = 48.8 + -49. Let l = 0.08 + m. Which is the smallest value? (a) 1 (b) l (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i = -465.2 + 425. Let b = i - -20.9. Round b to the nearest integer.\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9219 is divided by 39.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/8 and -19\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*a + 12*a - 9, 3*t = 5*a + 18 for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 569 is divided by 59?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*296.\nAnswer: -88.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2871 at most -2\/379?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 753970*u**3 - 42647*u**2 - u.\nAnswer: 4523820","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 + 105*p**2 - 1207*p - 318. Determine q(92).\nAnswer: -1330","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 + t - 16. Calculate the remainder when b(9) is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a day in hours?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = -5*d + 33 - 12, 5*g + 6 = -3*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 4*q - 1 = -8, 2*q - 7 = -5*f. Suppose 2 = f*k + 5. Let l = 35 + -35. Which is the closest to l? (a) -4\/3 (b) -4 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -95, -40, 119, 436, 965, 1760, 2875?\n\"Answer: 9*f**3 - 2*f**2 - 2*f - 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -259307, -1037328, -2334049, -4149470, -6483591, -9336412?\n\"Answer: -259350*a**2 + 29*a + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2328.\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -166 + 170. Suppose 3*f = 5*b - 13, -6*f - 10 = -i*b - 4*f. Solve -2*u - 6 = 2*u - 5*k, b*u + k - 4 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4423 - 380*l**3 + 4423.\nAnswer: -380*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 22*m**2 + 11*m - 6. Let u be o(4). Suppose -187*w + 192*w - u = 0. Calculate the smallest common multiple of 6 and w.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 z when two letters picked without replacement from mmzxvzzzzxmmvzxzz?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 75 = -5*a, 2*a - 2620*z + 2616*z = 4 for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*g**3 + 4*g**3 - g**4 + 45 - 2*g**4 - 8*g**4 + 6*g**4 in the form y + o*g**3 + n*g**4 + l*g**2 + b*g and give o.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -1*(1 + sqrt(1053) + (sqrt(13) - (sqrt(104)\/sqrt(8) + -4))))**2.\nAnswer: 1053","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 29 - 2*p**2 - 6 + 3*p + 7 + 18 wrt p?\nAnswer: -4*p + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + -6 + (6 - 4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 392897, 785574, 1178239, 1570886, 1963509, 2356102?\n\"Answer: -f**3 + 392684*f + 214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + (-3 - -7 - 8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2100 + 2337. Which is bigger: 241 or a?\nAnswer: 241","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -17*y**2 + 1 + y**2 - 6*y + 32 - y**3 + 16*y. Does 21 divide f(-17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(396) - -2*sqrt(396)*2) + sqrt(396))\/(sqrt(88)\/sqrt(2) + sqrt(11) + sqrt(11)))\/((sqrt(36)\/(sqrt(12) + sqrt(3)) - (sqrt(132)*-1)\/sqrt(11))*6).\nAnswer: 3*sqrt(3)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**5 - 32*s**4 - 96*s**3 - 136*s**2 - 92*s - 24.\nAnswer: -4*(s + 1)**3*(s + 2)*(s + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88*u = -6928 + 2704. What is the highest common factor of 2748 and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 + 11*d**2 - 15*d + 3. Let c = -5 + 10. Suppose r = c*o - 10, -4*o = 5*r - 2*o - 58. Let m be b(r). Round m to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 less than -344870488.227?\nAnswer: -344870488.627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1280 divided by -71.\nAnswer: -1280\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.6 - 0.06653?\nAnswer: -2.66653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001095 to six decimal places.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum 17795789 and 0.1.\nAnswer: 17795789.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kxpe when four letters picked without replacement from kkxeekkykkkep?\nAnswer: 7\/5720","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -462, -4, 0, -2\/3, -1, -0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5.089 - -0.089. Let h be (-116)\/(-145)*(-20)\/(-8). What is the second biggest value in h, -3, n?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -42 + 55. Suppose 10 = -5*n, 3*m + n + g = -4*n. Let s = -331 + 27803\/84. Does m = s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - y + 69 - 76, 0 = -5*f + 5*y + 35. What is q in 27\/5*q**5 + 0*q**3 + f*q + 0*q**2 - 6\/5*q**4 + 0 = 0?\nAnswer: 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 (base 10) in base 12?\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a gram in milligrams?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1842816 divided by -48?\nAnswer: -38392","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Express 0*o + 191*o**3 + 2*o - o**2 + 158*o**3 + 260*o**3 - 2*o**4 in the form f*o**2 + i + c*o + h*o**4 + q*o**3 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express g**3 - 315 + 195*g**4 - 5*g**3 + 4*g**3 + g**2 - 194*g**4 in the form p*g + q*g**3 + h*g**4 + s*g**2 + c and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**3 - 5*p**3 + 3*p**3)*(-1 + 2 - 4)*(-143*p**2 + 86*p**2 - 49 + 82*p**2 + 49).\nAnswer: 75*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 105491 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 - 31*y + 7. Let h be v(-22). Let f = 381 - h. Let d be 4\/24 + 130\/12. Calculate the highest common factor of f and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -93410482 - -1?\nAnswer: -93410481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -90314, -90319, -90324, -90329, -90334?\nAnswer: -90339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4545046 + 4544992.99849. Let z = q - -53. What is z rounded to 4 decimal places?\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5476.999991495 + -5477. What is m rounded to seven decimal places?\nAnswer: -0.0000085","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of x**6\/360 - x**5\/100 + x**4\/120 - 5*x**3\/6 - 5*x. Let p(o) be the second derivative of f(o). Factor p(n).\nAnswer: (n - 1)*(5*n - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30077562 a multiple of 594?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2*q**3 + 132*q**2 + 140*q + 658. Let d be t(-65). Calculate the greatest common divisor of 89 and d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11.15 - 6.16. Let y = a + -5. Let k = 0.11 - y. What is k rounded to 1 dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.001172 micrometers to millimeters.\nAnswer: 0.000001172","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29*h + 36*h - 24*h)*(-328 + 328 - 123*h**4 + (5*h**2 - 2*h**2 - 4*h**2)*(3*h - 3*h - h**2)).\nAnswer: 2074*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77694453?\nAnswer: 3, 8632717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(0 + sqrt(68))*-3 + (3*(sqrt(85) - (-2*sqrt(85) + sqrt(85))) + sqrt(85) - sqrt(85))\/(sqrt(245) - sqrt(245)*-1))**2*-4.\nAnswer: -1851300\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 3*m**2 - m. Let u(v) = -v**2 + v - 1. Let s be 1584\/(-110)*(-10)\/4. Suppose 6*r - 30 + s = 0. Calculate r*c(j) - 2*u(j).\nAnswer: -j**2 - j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 70 - 73. Which is the smallest value? (a) 2 (b) -1 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wb when two letters picked without replacement from wwwwwwwb?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 8711865949 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 - 16*n + 22. Let g be p(10). Let k be (-1 - -1 - 0) + (g - -38). Solve 5*h + 2*u - 33 = k, 3*u - 5 = -h + 12 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5266 + -3294. What are the prime factors of l?\nAnswer: 2, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 33*z**2 + 8*z + 11. Is v(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - d + 2*d - 15, -d = 5*t - 19. What is the biggest value in -0.07, 14, t?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 466872027*b*o**2*v**2 + 10*b*o**2 - 2*b*o*v**2 - 255283*b*o + b + o**2*v - 3*o*v - v wrt v.\nAnswer: 933744054*b*o**2 - 4*b*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -2*m - 7. Let d be r(-5). Factor -2*a**d - a**3 + a**3 + 0*a + 6*a - 4.\nAnswer: -2*(a - 1)**2*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0 (b) 5 (c) 50 (d) -20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-23)\/(-7) - 118\/413. Suppose -g*q + 1 = n - q, 5*n = 3*q + 31. Factor 14*w**2 + 4 + 8*w**3 + 1\/4*w**n + 9\/4*w**4 + 12*w.\nAnswer: (w + 1)*(w + 2)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 182 at least 169?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -101552 + 41?\nAnswer: -101511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1083*c**2 - 684*c - 108 = 0.\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18009 - -103420. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15*-7*10\/(-210)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-5\/3)*h*h*h**(-7)*h*(h*((h**(-2)*h)\/h)\/h)\/(h\/(h*h*h*h\/(h*h**(11\/5)))) assuming h is positive.\nAnswer: h**(-118\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -57*h**6*r**3 + 3*h**6*r - 3*h**2*r**2 - 69*h*r**3 wrt h?\nAnswer: -6840*h**3*r**3 + 360*h**3*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 0 + -3 + (sqrt(2736) - (sqrt(2736)*1 + sqrt(2736) + sqrt(2736))) + -2)**2.\nAnswer: 288*sqrt(19) + 10980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3166?\nAnswer: 2, 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(2\/7)*x)\/x)**(-2\/41) assuming x is positive.\nAnswer: x**(-4\/287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (8\/32)\/((-2)\/((-48)\/6))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2150*j + 894 + 937 - 1834 to l*j + m and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*i = -17*i - 3224. Is 13 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 9141.\nAnswer: -1\/3047","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14010364.\nAnswer: 2, 29, 120779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - -2022?\nAnswer: 2032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 77.96547 months in millennia?\nAnswer: 0.0064971225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 85*l + 10. Let m be p(9). Suppose 4*t - m = -t. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4795, -4626, -4331, -3904, -3339?\nAnswer: -2630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (19\/57)\/((-2)\/(-6))*714\/(-42)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2024 and 276.\nAnswer: 6072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 11881*b**4 - 1712826*b**3 + 63421513*b**2 - 121752072*b + 60031504 = 0.\nAnswer: 1, 7748\/109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -274, -277, -290, -319, -370, -449?\nAnswer: -562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*(y**(-1\/4)*y)\/y*y)**(2\/27)*y**6*y**(2\/5) assuming y is positive.\nAnswer: y**(1763\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v**5 + 6*v**4 + 4*v**3 = 0. What is v?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(7 - (-4014)\/(-546) - 27\/(-63))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 73 - 18. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 minus 395?\nAnswer: -395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/2*((-1664)\/(-12))\/(-16) - 4?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 130*f + 2451. What is the lowest common multiple of z(-9) and 7?\nAnswer: 1281","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vuvr when four letters picked without replacement from vurrvvrr.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(228) - sqrt(228)*-2*5)*-2)\/(4*-1*sqrt(1200) + sqrt(1200) + sqrt(1200)).\nAnswer: 11*sqrt(19)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.1, 1.34 in decreasing order.\nAnswer: 1.34, -0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1064 a multiple of 109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9208 is divided by 1031?\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, b: 4, c: 1, y: 5, v: 1}. Give prob of picking 1 o, 1 c, and 1 v.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of f**5\/60 + f**4\/6 - f**3\/6 + 7*f**2. Let a be g(-2). Is -5 greater than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 307450 and 18850.\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 15.8809777 to 1 dp.\nAnswer: 15.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-174)\/8845*(-55)\/(-33)\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 314950*f**2 + 148*f + 6. Let v be j(3). What is v rounded to the nearest ten thousand?\nAnswer: 2840000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 6*z - 1. Let h(m) = 8*m. Let k(a) = -a - 1. Let s(f) = h(f) + k(f). Let d = -76 - -86. Suppose 24*l = 22*l + d. Determine l*y(u) - 4*s(u).\nAnswer: 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 10 = 10, 5*y + 26 = 3*v. Let i be 1\/v*6\/(-12). Is -8 < i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.0501 from 238695760.3.\nAnswer: 238695760.2499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10112 and 512?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28340 divided by -1.\nAnswer: 28340","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o. Let x(z) = 54983021*z**2. Determine x(a(n)).\nAnswer: 54983021*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -570298, -570339, -570382, -570427, -570474, -570523, -570574?\nAnswer: -570627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 257\/39 - 90\/13. Let m be 12\/(-14)*(-5 + -2). Suppose -8 = -2*u - m. What is the third biggest value in r, u, -0.06?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -15*d + 15. Let l(u) = -u + 1. Let j(b) = -12*l(b) + x(b). Let n be 1*(0 + -6 + 3 + 44). Let v = -46 + n. Let g(a) = a - 1. Give v*g(h) - j(h).\nAnswer: -2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33670, -134695, -303020, -538603, -841402, -1211375?\nAnswer: -1648480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3180 - 3050. What is the remainder when 3505 is divided by q?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -4*x + 11*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - 0.1. Let d = l + 0.5. Let s = -194 + 196. Which is the smallest value? (a) -5 (b) d (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 12\/7 and -15\/2808463.\nAnswer: 2808463","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 526162929 to the nearest integer?\nAnswer: 807","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -329, -2267, -7157, -16343, -31169, -52979, -83117?\nAnswer: -122927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/3 in -2, -0.2, 2, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 19*x**3 - 16*x**3 + 6*x - x + (-5*x + 5*x + 2*x**2)*(3*x + 3 - 3).\nAnswer: 9*x**3 + 5*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 7 + 89. Let v = -38 - o. Solve u = -0*h + 2*h, v*h = -2*u for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 + 164*n + 9. What is c(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -10011001110000 (base 2) to base 15\nAnswer: -2db0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(8\/5)*((j\/(j\/j**(1\/7)))\/j)\/j*j assuming j is positive.\nAnswer: j**(26\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**2 - 133*k. Let n(h) = 460*h. What is q(n(r))?\nAnswer: -211600*r**2 - 61180*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 - k + 1. Let m(q) = 2*q**3 + 5*q**2 + 2. Let o(g) = m(g) - 3*x(g). Calculate the remainder when 27 is divided by o(5).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -43.5757 + -0.0243. Let q = z - -39.6. Which is the second smallest value? (a) 6 (b) 8 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 - -10. Suppose y*m = 4*m + i - 1, 2*i - 11 = m. What is the common denominator of 41\/9 and 12\/(14\/(m - -3))?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181063.6 rounded to the nearest one thousand?\nAnswer: 181000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 438, 440, 444, 450, 458, 468?\n\"Answer: y**2 - y + 438","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -164*o**2\/9 + 166*o\/3 - 2.\nAnswer: -2*(o - 3)*(82*o - 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (80 - 26 - 86 + 105 + 112)*(5 - 8 - 3)*(-2*q + 4*q + 0*q).\nAnswer: -2220*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 14, 79, 194, 365, 598, 899, 1274, 1729?\n\"Answer: n**3 + 19*n**2 + n - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 84 - 74. What is the highest common factor of 16 and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*o**6 - 2*o**3 - 122*o**5 + 6*o**2 + 122*o**5 + 3*o**3 wrt o?\nAnswer: -360*o**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - b - 7 = 0, -2*k + 453*b = 454*b - 9 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-8)\/(-3))\/(4\/6). Suppose -h + 6*h + i = 6385, -k*i = 0. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 471534 to the power of 1\/3, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 1 + 5. Let a be (-763)\/21 + (-2)\/m. Let l = -22 - a. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/7, -1\/14, -1?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/20)\/((-52)\/(-2704))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/9, -17\/11, 1, -1, -4 in descending order.\nAnswer: 1, -1\/9, -1, -17\/11, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (3*sqrt(18) + sqrt(4)\/sqrt(2)*-5 - (-1 + sqrt(242) - -4*sqrt(18)))**2.\nAnswer: -38*sqrt(2) + 726","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3 + (-3)\/(-2))*10. Let h = p + 26. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 + 5*h**2 + 4*h + 2. Let t be f(-4). Let b(x) = x**3 + 11*x**2 + 12*x - 10. Let i be b(-9). Let w = i - 22. Solve -4*k + w = t for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1305.5 and -11?\nAnswer: 14360.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 - 126*t**2 - 2706*t + 177. What is f(-19)?\nAnswer: -754","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.87 + 1.870059. Round j to 5 dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4537456 divided by 283591?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 3*m + 0*m + 729991 = 0, 3*m + 3649991 = -5*s. What is s rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (21 - 23)\/(-1 - 3\/(-4)). Suppose w*k = -4*k + 1260. Let d = 117 - k. Calculate the highest common factor of 18 and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (26 + 10*y - 26)*(6*y - 9*y + 4*y) + 0 + y**2 - 2 + 0 to l*y**2 + f*y + d and give l.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of -9*q**8\/56 - 3*q**5\/10 - 17*q**4\/3 - 207*q. Find the third derivative of d(n) wrt n.\nAnswer: -1080*n**3 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*y + 374 = 1200. Calculate the remainder when y is divided by 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -63 divided by 21.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 938761 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2908, -5938, -9080, -12334, -15700, -19178?\nAnswer: -22768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2134 - -10?\nAnswer: -2124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -0.117?\nAnswer: -0.0117","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 3, -h = -2*i + 3*i + 37. Which is bigger: -39 or h?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the third derivative of 9*y**6\/8 + 241*y**5\/12 - 60*y**4 + 50*y**3\/3 + 6*y**2 - 2. Factor m(h).\nAnswer: 5*(h - 1)*(h + 10)*(27*h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = -14*b - 27. Let d(m) = -m - 5. Let y be d(-6). Put 4, y, b in increasing order.\nAnswer: b, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7\/4 of a hour?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1481 (base 9) in base 15?\nAnswer: -501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 AM and 8:36 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1975507, 3950589, 5925673, 7900759, 9875847, 11850937, 13826029?\nAnswer: 15801123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -262 divided by -3847?\nAnswer: 262\/3847","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -3359028.\nAnswer: -1\/839757","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of -3*d**5\/20 - d**4\/2 - 5*d**3\/8 - 3*d**2\/8 - d + 4. Let r(u) be the first derivative of v(u). Factor r(b).\nAnswer: -3*(b + 1)*(2*b + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 29879.53284 - 29879. Round i to three dps.\nAnswer: 0.533","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from {w: 10, z: 4}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 105*m**2 + 76*m**2 - 50*m**2 + (2*m - 3 + 3)*(3*m + 0*m - 4*m).\nAnswer: 129*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 AM and 8:21 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28 and 1356?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/3)\/q)\/(q*q**3)*(q**2)**(-41)*q*q**(-1\/4)\/q*q*(q\/(q\/(q**(5\/4)\/q)))\/q*(q**0)**40 assuming q is positive.\nAnswer: q**(-260\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8*(4 + -2 + 6\/(-6)). Find m, given that m**4 - 20*m**2 + t*m**4 - 15*m**3 - 4*m**4 = 0.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17, 22, 13, -16, -71, -158, -283, -452?\nAnswer: -671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 74470 and 110?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-196)\/150*(75 - -3). Let t = -102 - r. Is t less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and -11904.1?\nAnswer: -35712.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1444960 and 704.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 111?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17 - 8. Is s > 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*y**4 - 14*y**3 - 1626*y**2 + 87952*y - 3 wrt y?\nAnswer: -36*y**2 - 84*y - 3252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 18 = -0*z. Let v(d) = d**3 - 10*d**2 + 2*d + 8. Let p be v(z). Let g = p + 99. What is the greatest common divisor of 11 and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -192*n + 195*n - 15 = -3*u, -5*n = 4*u - 30 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 143664403 + k**2 - 4*k - 143664403.\nAnswer: k**2 - 4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*o + 2*o + 0*o.\nAnswer: -13*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 12 + 8)*(5*l**2 - l**2 + 2*l**2)*(-3 + 7 - 2).\nAnswer: 216*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 948886537 - 948886537 + 8*d**2.\nAnswer: 8*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.1 + -0.1. Let g = v + 0.1. Let h = -7.84 + 7.34. Which is the closest to h? (a) g (b) -2 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, y: 1, a: 5}. Give prob of picking 4 a.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/139 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/(-9) + 126\/54. Suppose 5*u - 2374 = 56*g - 59*g, y*g = -u + 470. Does 39 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n**2 - 123*n - 126 = 0. Calculate n.\nAnswer: -1, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -3*b**3 + 3*b**2 + 3*b - 1. Calculate the remainder when 84 is divided by r(-2).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 - (3 + -3)\/(-3). Suppose 0 = -w*x + x. Let u = 2 + x. Solve u*k = 4*k + 6 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1007 and 176331?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.19 + -4.81. Which is the nearest to 1? (a) -1 (b) -2 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 533.0648 rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -2*p**2 + 13*p - 3. Let a be j(6). Solve -5*i - 3*o = 19 + a, -1 = -o for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1420501 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 34\/579?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from adaacadccayzczadc. What is prob of sequence azy?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 15*z**4\/2 + 34437*z**3\/2 - 1227771*z**2\/2 + 7000155*z\/2 + 16489494 = 0. What is z?\nAnswer: -2331, -3, 12, 131\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxghg. What is prob of sequence gh?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**2 - 80*h.\nAnswer: 4*h*(h - 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7*((22 - 7) + 2\/(-1)). Let b = o - 369\/4. What is the nearest to -2 in 4\/9, b, -4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*f + 3*f**3 - 3*f)*(0 + 1 + 1)*(2 + 4 - 5)*(1 + 1 + 1)*(0*f + f - 6*f) to o*f**2 + r*f**4 + i*f + j*f**3 + h and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22 + 43\/2. Find the common denominator of 20 and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 977?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -1729*x + 351. Let g(z) = -54*z + 11. Let c(y) = -65*g(y) + 2*s(y). What is the first derivative of c(w) wrt w?\nAnswer: 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -w**5 + 8904*w**4 - 49*w**3 - 20954123*w**2.\nAnswer: -60*w**2 + 213696*w - 294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 231 + -124. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 132626306?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000346 rounded to 6 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*s + 4*n + 53 = 0, -1414*s - 10 = -1418*s - 5*n for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 5*c**3 - 21*c**2 + 10*c - 125. Is z(10) a multiple of 155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 774 - 742. Solve u*a + 14 = 25*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -14.604 to one decimal place.\nAnswer: -14.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 + -19. Let h = z - -8.5. What is the nearest to 0 in 1, h, -5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 43*c - 15*c + 30*c as x + i*c and give i.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1085 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add -4242517 and -0.00640476.\nAnswer: -4242517.00640476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z - 3. Let o be l(5). Suppose -5*u + 11 + 9 = 5*g, o*g + 5*u - 23 = 0. Let q = 1 - 0. Sort 3, g, q in ascending order.\nAnswer: g, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-13)\/(-3) - 2\/(-3). Suppose 4*c - 8*c + 21 = 3*n, a*c - 15 = 0. Let z(l) = -l + l - n*l + 5*l. Let p(g) = 9*g**2. Determine z(p(o)).\nAnswer: 18*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 378 and 1506?\nAnswer: 94878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4641460 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-60)*(-10)\/6?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**3 + 32*x**3 + 19*x**3)*(0 + 0 - x) - x**4 - x + x.\nAnswer: -53*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 196*i**5 - 3808*i**4 + 16900*i**3 - 29576*i**2 + 21680*i - 5600 = 0?\nAnswer: 5\/7, 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 1:23 PM?\nAnswer: 4:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + r - 152 = 2*g, 5*g - 76 = 2*r. Let j be r\/13 + (11 - 9). Let n = -757\/39 + j. What is the common denominator of -81\/10 and n?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 276885 and 1260.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 116 = -2*j - 2*w, 4*j + 136 = 2*w. Let d = j + 60. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.06 - 1.06. Let w = q + 2. Which is the nearest to w? (a) 0.1 (b) -4 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28982712?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 22171 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3*85\/(-105))\/((-23)\/161).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 6 = 3. Let q = 7 - l. Solve 3*n - 7*n + q = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -431 - -523. Let l = u - 89. What is the third biggest value in 0.5, l, -1\/3, 2\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*n + 0 - 5 + 4 + (-3 - 1 + 2)*(2*n - 3*n + 2*n) - 9*n + n + 60*n in the form x + p*n and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 4, a: 1, x: 4, e: 1, y: 2, p: 2}. Give prob of picking 1 x, 1 p, 1 y, and 1 a.\nAnswer: 16\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0219949698 rounded to four decimal places?\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of 1\/180*w**5 + 0*w - 1\/72*w**4 + w**2 + 0*w**3 + 0. Factor u(m).\nAnswer: m*(m - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 21*g + 127. Let r be f(-17). Let q = r - -232. Let d be ((-4)\/(-14))\/((-1)\/2). Which is the closest to -0.1? (a) -4 (b) d (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.65 * -38.\nAnswer: 24.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 75 - 32. Let h = y - 22. What is the greatest common divisor of 14 and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 70.09 - -0.81. Let w = -71 + t. Let h = 3\/188 - -295\/5076. What is the second biggest value in -5, h, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -30*7\/(-63) - 2\/(-3). Suppose -5*i = -i - 5*g + 13, 0 = 2*i + 2*g - 16. Solve i*t + 4 = -f, 4*f + z = t + 3*f for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44240 (base 7) in base 3?\nAnswer: -120020012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of -17\/6*r**3 + 0*r**2 + 0 - 55*r. Let w(u) be the third derivative of -u**5\/30 + u**2. What is w(m(n))?\nAnswer: -578*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-392)\/(-21))\/7)\/(4\/(-12)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -93*m + 29*m - 2099 + 627 for m.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -6, 942, -5, 3, -2 in increasing order.\nAnswer: -6, -5, -2, -1, 3, 942","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -22*s**2 - 65*s + 6. Let v(j) = 63*j**2 + 194*j - 17. Determine -17*i(o) - 6*v(o).\nAnswer: -4*o**2 - 59*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, -5, -15, -43, -97 in descending order.\nAnswer: 3, -2, -5, -15, -43, -97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*(-1)\/2*558. What is the remainder when l\/(-12) + 3\/4 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 + 4. Suppose 0 = 2*f - 5*i - 2703, -165 = -5*f - 3*i + 6577. Let o = f - 12173\/9. Which is bigger: j or o?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2*l**2 + 2*l - 9. Suppose 32*t - 9 = 35*t. Let b be d(t). Suppose -4*o + 5*o - 181 = c, -945 = -5*o - b*c. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 70 - 272 = 3*a, -3*a - 6 = 0. Suppose 2*o - 3*o = -2*q + 26, 5*q - 68 = o. Calculate the highest common divisor of q and j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 - 1. Let a be (-7)\/((-21)\/(-6)) - (2 + -5). Let h(c) = 5*c**2 + 9*c - 6. Let x(g) = a*h(g) - 4*z(g). Calculate x(-8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pkwk when four letters picked without replacement from kwpkk.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 150948?\nAnswer: 2, 3, 7, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 4*f = -8, 5*f = 72*q - 67*q + 30 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(5\/7)*l*l\/((l\/l**(6\/17))\/l))\/(l\/(l\/(l*l**(2\/9)))*(l*l**(-18))\/l) assuming l is positive.\nAnswer: l**(21254\/1071)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5753609.\nAnswer: 5753609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 273609?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 61*x**2 - 22*x + 40. Let c be v(13). Let r = -6698 + c. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1344890 by -1344890.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 167 + 19?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 + 5*v**2 + 5*v - 10. Suppose 0 = -3*b - 0 + 15. Let r be f(b). Solve 3*h = -4*w - r, 4 = -h - 3*w - 6 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 47*p**3 - 6*p**2 + 6*p - 176. Let b(s) = -48*s**3 + 8*s**2 - 8*s + 171. Determine 3*b(z) + 4*j(z).\nAnswer: 44*z**3 - 191","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 326376802 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of 5*g**3 + 35*g**2 + 40*g + 159. Solve q(j) = 0.\nAnswer: -4, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = h + 4 - 1, 6 = 4*a - 2*h. Let z(d) = d**3 - 6*d**2 - 5*d + 2. Let y be z(7). Suppose -4*p + 64 + y = a. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 686.148 years?\nAnswer: 0.686148","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7035, 14071, 21107, 28143, 35179, 42215?\nAnswer: 49251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 - 5. Solve 0 = -2*x + 5*x + z for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 184 and 1426.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3228.2 less than 81.5?\nAnswer: 3309.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*n - 29379 = 21241. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 PM and 12:32 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/(3*8\/(-24)). Let o(l) = 90*l**2 + 16. Is 21 a factor of o(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 334552501552 + 3?\nAnswer: 334552501555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 6*y - y**2 - 5 - 1 + 10. What is the units digit of w(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*a**2 + 30*a**2 - 272*a**2 + 66*a**2 - 280*a**2.\nAnswer: -394*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -329 - -318. Let q(y) = 3*y**2 + 8*y + 116. What is the hundreds digit of q(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 268, 598, 964, 1360, 1780, 2218, 2668?\n\"Answer: -o**3 + 24*o**2 + 265*o - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -16b + 2?\nAnswer: -169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 42 - (14 - 6 - 19 - (-12 + 0))?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/4)*p)**(-5)\/((p*p\/(p*p**(-3\/2)))\/p)**22 assuming p is positive.\nAnswer: p**(-157\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r. Let j(v) = -14 + 14 + 5*v. Let y(n) = 2*j(n) - 9*x(n). Let s(a) = a. Determine s(y(d)).\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 457030677 and 227?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 113085924 and 11172.\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170) + sqrt(170) + 1*(sqrt(170) + (sqrt(170) + sqrt(170)*2 - sqrt(170))) + sqrt(170))\/(sqrt(250)*1).\nAnswer: 6*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 306 divide 397526742?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1132, 2272, 3414, 4558?\n\"Answer: u**2 + 1137*u - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 48.1, -16, 9 in increasing order.\nAnswer: -16, 9, 48.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 52\/35 and 11\/81575495.\nAnswer: 571028465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-38 - -52) + (-4 + -2 - -2).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2161409 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -45 or -46?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 500040 divided by 2\nAnswer: 250020","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*v = -2*v - 4*q - 12, 20 = -4*q for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 6*v**2 - 24*v - 15. Let t be q(6). Calculate the greatest common factor of t and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*k + 459*a = 454*a - 47, -5*a = 5*k + 5 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/55883 and -37\/4539602.\nAnswer: 213361294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 2*y + 32 = -4*p, -4*p - 32 = -2*y. Let v = p - -41. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -265252*m - 162*m**3 + 1574 + 18*m**2 - 17*m**2 + 265252*m wrt m?\nAnswer: -486*m**2 + 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/111437 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 8:39 AM?\nAnswer: 11:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -136772 divided by -4?\nAnswer: 34193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -125*s + 264*s - 137*s.\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = n - 1, 3*z + n - 16 = -z. Suppose h + 16 = z*i - 7, 0 = 4*h + 3*i + 107. Let u = 37 + h. Does 4 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/(-8))\/(2\/13). Factor 1\/2 + 21\/4*b**2 - w*b.\nAnswer: (3*b - 1)*(7*b - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29 + (34 - 16) - 25\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -10*x**3 - x**2 - 3*x - 2. Suppose -32*d + 30*d - 2 = 0. Let q be l(d). Solve -4*n = n + q for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 728, 725, 722, 719, 716?\n\"Answer: -3*u + 731","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 22 (c) 168\/5 (d) 4 (e) 0.4 (f) 1\/3 (g) -136\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 72713076 - 5?\nAnswer: 72713071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 337?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5208 and 62832.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (15984\/45)\/(-8)*(-10)\/4. Sort -1, k, -4.\nAnswer: -4, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -m - m. Let s(l) = 20*l**2 + 27*l - 8*l**2 - 2*l**2 - 157 - 4*l**2 - 7*l**2. Let n be s(14). Calculate the greatest common divisor of n and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 41 + (-16 - (2 + (-6 - 7))).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 12 = a + 4*b, -3*b - 15 = -2*a. Let s be 4\/5*(a + 352\/(-124)). Are s and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + 9 + 1. Let z = p - -18. Is z a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*w + 7*w - 17*w)*(-3 - 1 + 2)*(-w - w + w).\nAnswer: -42*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -74 + -21544?\nAnswer: -21640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1768709 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 29376 + -29377.08. Which is the biggest value? (a) -0.1 (b) x (c) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in three fifths of a hour?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -s**2\/2 - 333*s\/2 + 335 = 0. What is s?\nAnswer: -335, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -1, -1\/8, 1\/5, -0.0376?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -40\/5709 and -55\/52073.\nAnswer: 1718409","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u + 4*p + 0*p - 43304 = 0, -2*u = p - 14432. What is the remainder when u is divided by 41?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(-2\/15)*s**(-8))\/(s\/s**16*s*s*(s\/s**(-16))\/s) assuming s is positive.\nAnswer: s**(-148\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 29109 = -2*z - 70225, q - 19859 = 3*z. List the prime factors of q.\nAnswer: 2, 4967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -0*a - a, 2*a - 22 = -2*v. Let x(d) = d**2 - 5*d - 2. Let g be x(v). Suppose g*u = 3*z - u - 640, -2*u = -2*z + 420. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c + 2. Let n = -5 + 7. Suppose n*j + 10 = -3*j. Let k be b(j). Calculate the greatest common factor of k and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l - 27. Let q(o) = 51. What is 7*i(v) + 3*q(v)?\nAnswer: -7*v - 36","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 3*u - 25 = -4*h, -8 = -5*h - 4*u. Suppose h*f = 2 + 2. Let z(g) = g**2 + g - 1. Let n(o) = 10 - 14 - 4*o**3 + 2*o + 5*o**3. Give f*n(d) - 2*z(d).\nAnswer: d**3 - 2*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 v when three letters picked without replacement from fvfvfvvvffff?\nAnswer: 21\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 PM and 6:01 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3591 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = 5*k - 2, -5*o - 16 = -k for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 2*y**2 - 13*y**2 - y**3 - 10*y - 2 - 2*y**2 + 14. Let a be w(-12). Is 3 a factor of (a\/10)\/(2\/(-15))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/10 of a century?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2331120220 (base 4) to base 6.\nAnswer: 24343144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + (19 + -17 - -33 - 3).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -1233*h**2 - 6. Let w(i) = 1233*i**2 + 5. Give -4*g(z) - 5*w(z).\nAnswer: -1233*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.56 - -4.36. Which is smaller: 551 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {p: 3, v: 3, a: 2, y: 5}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 4, t: 2}. What is prob of sequence wtt?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6283532153?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/265635 and -13\/9.\nAnswer: 265635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x, -m + x - 7 = 1. Let w be (6\/2)\/(33\/11). Let o(b) = b**3 + 22*b**2 - 23*b - 5. Let n be o(-23). Put n, w, m in decreasing order.\nAnswer: w, n, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2621720 and 1120.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {p: 7, u: 9}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 91 = -28. Let t = b - -62. Does 17 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3943, -7647, -11349, -15049, -18747, -22443?\n\"Answer: y**2 - 3707*y - 237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.7 - 0.5. Let p = -245 - -245.5. What is the closest to 0 in 1, p, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2 + 8*t - 11. Give d(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 419, 497, 591, 707, 851, 1029, 1247?\nAnswer: 1511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 9 + 0 + (18 - 26) + 27 + -26.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107*w**2 - 136*w**2 - 44*w**2 + 113*w**2.\nAnswer: -174*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - -2483?\nAnswer: 2487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 65452 * -1.76.\nAnswer: -115195.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/(-2 - -4) - 61. Let a = q + -12. Let y = -37 - a. What is the smallest common multiple of 16 and y?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*n**5 - 81047*n**4 - 9*n - 2354 wrt n.\nAnswer: 40*n**3 - 972564*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:23 PM and 9:13 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-3\/8)*w*w**(4\/3)*w)\/(w**1)**(2\/19)*((w*(w*w*w\/(w**(-1\/6)\/w*w))\/w*w)**(-5\/4))**(1\/14) assuming w is positive.\nAnswer: w**(27011\/6384)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, 134 in increasing order.\nAnswer: -2, -1, 134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(39)\/sqrt(12).\nAnswer: -3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1043.\nAnswer: 7, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 60.876 rounded to one dp?\nAnswer: 60.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/11 and -119\/155472950.\nAnswer: 1710202450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1432 and 4475?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 133\/720 and -29\/900.\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70 is divided by (-130)\/(-15)*1*9\/6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + -1 + (12 + -7 - 1) + -3.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 87740 and 49200.\nAnswer: 5264400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccccccjcccjj. What is prob of sequence jc?\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -3 + ((-1 + sqrt(245) + 4)**2 + 1 + sqrt(245) + 2 - (1 + sqrt(245) + 1 + 4)) + 0.\nAnswer: 42*sqrt(5) + 250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 323*i**4 + 72*i**3 - 236269*i**2?\nAnswer: 7752*i + 432","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 12 and -758784?\nAnswer: -9105408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -830*j + 840*j - 81910 = 0. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 4*h - 3*u - 48 = 0, -h - 5*u = 12. What is the common denominator of 41\/69 and (178\/(-3))\/((-20)\/h - 3)?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 33 - 30. Suppose 4*v - 34 = 2*v + 4*l, -n*v + 5*l = -46. What are the prime factors of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of r**3\/6 + 6*r**2 + 6*r. Give k(-9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 2, 3, -12, 11 in increasing order.\nAnswer: -12, -6, 2, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*s - 19 = -s + 4*b, -62*b = 4*s + 487 - 95 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 174?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -19683, -32010, -44337, -56664, -68991, -81318?\n\"Answer: -12327*c - 7356","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -9*i**3 + 13*i + 11. Let s(j) = -4*j**3 + 6*j + 5. Let m(c) = -2 - 2 + 0 + 5*c + 3 + c**2. Let b be m(-3). Let t(v) = b*s(v) + 3*x(v). Factor t(l).\nAnswer: (l - 2)*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 + 12*m - 24. Let t be v(-14). Find the second derivative of 4*f - 14*f - 14*f**t + 6*f**4 wrt f.\nAnswer: -96*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12296988 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -120*t - 823. Let g be v(-7). Calculate the greatest common factor of 425 and g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 + 3*k**2 + 10*k. What is l(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 1, -30, -18.91, -0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1053, 0, 3, 4, 2560 in decreasing order.\nAnswer: 2560, 4, 3, 0, -1053","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.155 + -0.03. Round f to two decimal places.\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of u**7\/840 - u**6\/72 - u**5\/20 + u**4\/6 + 4*u**3\/3 + 7*u. Let f(i) be the second derivative of g(i). Determine f(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.061 and 93?\nAnswer: 92.939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -283 + 281. Put h, -3\/2, -5\/7 in ascending order.\nAnswer: h, -3\/2, -5\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0547*-0.044.\nAnswer: 0.0024068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9635?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (5 - 6)) + 2 + 2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2050621 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95) + 2*sqrt(95)*-3 - sqrt(95))\/(3*2*sqrt(5)) + -5 + ((sqrt(931) + 1)*-3*-4)**2.\nAnswer: 2015*sqrt(19) + 134203","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -4*r + 41. Let t be j(-16). Suppose -8*q - 31 - t = 0. Which is bigger: -18 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4046054*x**2 + 4046054*x**2 - 2*x + 4*x - 8092109*x**2 - 2*x.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10*v**3 - 203*v**2 - 26143.\nAnswer: -30*v**2 - 406*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -36a620 + 4?\nAnswer: -36a61a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1246.37 less than -747953878?\nAnswer: -747955124.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2004, 4010, 6006, 7986, 9944, 11874, 13770, 15626?\nAnswer: 17436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15617 + -15617. Let b = -27 + 19. Let r be ((-6)\/b)\/((-5)\/20). Put 1, r, o, 5 in increasing order.\nAnswer: r, o, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z = -14 + 26. Solve -p = z*p + 3 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 140 and -2806.6.\nAnswer: -392924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -8*c**3 - 6*c**2 + 6*c + 2. Is 32 a factor of o(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 PM and 7:22 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52696?\nAnswer: 2, 7, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0017799566 to 5 dps.\nAnswer: 0.00178","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -0.06, -0.4, -1\/5?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2220817 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/6)\/(16237\/11241)?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0390924962 rounded to 2 decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 52 = 2*f, 64 = 6*f - 3*f + 4*z. Suppose -32 = -f*g + 15*g. What is the remainder when g is divided by (-2)\/(-5) + 43\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ugg when three letters picked without replacement from {e: 3, u: 3, g: 2}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 4*l**2 - 1. Let u be p(-1). Let y(g) = -g**3 + 5*g**2 - 3*g - 4. What is the remainder when (22 + 5)*6\/9 is divided by y(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k - 3*k - 2*k)*(-51*k + 106*k - 53*k).\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 545*q + 4 - 541*q.\nAnswer: 4*q + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 - 8*x - 7. Let g be p(8). Let i be 2\/11 - (-240)\/616*-21. Is i bigger than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = d - 2. Let q be (3 - (3 - d)) + 33. Is 16 a factor of 7\/((-28)\/q)*-2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 6 + 9)*(5*p - 3*p - p) - 11*p - 19 + 19.\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 6978 divide 1340655228?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, b: 1, h: 4, u: 1}. What is prob of sequence utt?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.039, -13, -2\/3, -0.5, -2\/23, 0?\nAnswer: 0.039","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-152)\/(-266))\/(12\/14).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -108218.488 - -18700\nAnswer: -89518.488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1855753000 rounded to the nearest one million?\nAnswer: -1856000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 24*b**2 + 18*b - 18. Let i(h) = -7*h**2 - 5*h + 5. Let u(x) = -18*i(x) - 5*v(x). Let m(p) = -7 - 6*p + 7. Determine u(m(y)).\nAnswer: 216*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 163 a factor of 6786505?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 53315334 a multiple of 248?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 841021?\nAnswer: 841021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-19)\/d*(d\/d**(-7\/6))\/d)\/(d**18)**(4\/25) assuming d is positive.\nAnswer: d**(-3257\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*h**3 + 33*h**3 - 18*h**3 - 14*h**3 - 7*h**3 - 12*h**3.\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000479518223 rounded to six dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -449*b**3 + 7*b**2 + 24*b + 14. Determine p(-1).\nAnswer: 446","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 12\/9*3\/(-2) - -9. Let x be (0 - -10) + (9 - c). Solve -m + 5*m = x for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-21)\/3 + 57 - 4. Suppose 20*y - 34 = c. Solve 0 = -5*j - 5, 5*r - y*j - 18 - 6 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 552 is divided by 165.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 19610000 to the nearest 1000000.\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -54, -10, -1\/4, 2\/3?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) + -1 + sqrt(19))*3 + sqrt(304) + 0 + -3 + (sqrt(209) + sqrt(209)*-2)\/sqrt(11))**2.\nAnswer: -108*sqrt(19) + 1575","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes before 7:54 PM?\nAnswer: 8:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8\/11 - 40\/11*n + 14\/11*n**2 + 18\/11*n**3.\nAnswer: 2*(n - 1)*(n + 2)*(9*n - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 53425 - 142?\nAnswer: 53243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (41 - 8*v - 41)*(-3 + 2*v + 3 + (1 - 2 - 1)*(v + 4*v - 3*v) + v - 4*v + 4*v) in the form u + n*v**2 + o*v and give n.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 232748691 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5810710 and 1010.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -u + f, -21*u = -16*u + 5*f - 25. What is the biggest value in -0.4, u, 48\/35?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 - 9*m + 11. Let u be n(8). Let v be (9\/12)\/((1 - 7)\/(-120)). Suppose v = -5*r, u*y - 3*r = -1 + 16. Solve -4*a + y = -2 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68438 equal to 68438?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + -4. Let v = 10 - j. Calculate the lowest common multiple of v and 2 - (-1)\/((-1)\/(-16)).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.87093738 rounded to zero dps?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 0.26, -1\/5, -100.75?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 - 6. Suppose 5 = 7*m - q*m. Is m at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 100? (a) -2\/5 (b) -29 (c) -17 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38 + (16 - (38 - 18)).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -14) + (-20 - 2) + (-136 - -154) + -8.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3438 - -4813. Let d be s\/(-15) + 4 - (-2)\/3. Let v = -51 - d. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -1 - -2 - (-14 + 26).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 0.08405509, 1\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 62, 40, 18, -4, -26, -48?\n\"Answer: -22*l + 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 38676.47 days in microseconds?\nAnswer: 3341647008000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/130 and 59\/1131.\nAnswer: 11310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24062 + 12106 - 10071 - 7789)*(-4 - 2*f + 4).\nAnswer: 59632*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 288*t**2 + 293*t**2 - 1455*t**2 + 293*t**2 + 292*t**2 + 288*t**2.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 87981, 176143, 264305, 352467, 440629, 528791?\nAnswer: 616953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 56700 and 3827250?\nAnswer: 7654500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -2 (b) 5 (c) 2\/9 (d) 4254 (e) -0.5 (f) 1 (g) -2\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 5*g + 2. Let y(h) = -4*h - 2. Let o(b) = -5*s(b) - 6*y(b). Let i be o(0). Solve i*j = -j + 3 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/(17820\/243)*(-1)\/((-3)\/6).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9516393947 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5.0999688 - -5.1. What is a rounded to six dps?\nAnswer: 0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -4*c - 11, 0 = 2*c + 2*t - 13 + 41. Sort c, 3, -2 in descending order.\nAnswer: 3, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2918832 and 833952.\nAnswer: 5837664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1579 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, m: 4, l: 1, o: 6, z: 3, j: 1}. Give prob of picking 2 m, 1 z, and 1 l.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*h**3 - 4294302*h**2 + 8588600*h**2 - 163*h**3 - 4294298*h**2.\nAnswer: -143*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 46875374, 93750749, 140626124, 187501499?\nAnswer: 234376874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from {u: 17, p: 2}.\nAnswer: 40\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 9) to base 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3569?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 AM and 8:02 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7\/21 - (-1)\/(-3). Suppose x = 2*y - 5*t + t, -12 = -5*y + 4*t. Suppose -y*o + 4 = -36. Calculate the smallest common multiple of 18 and o.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4888 - a?\nAnswer: -4895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 46019506*t**3*z**4 + 20962*t**3*z - 10*t**2 - 2*z**4 + 16*z + 1 wrt z.\nAnswer: 552234072*t**3*z**2 - 24*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of -2*n**5\/5 + 3*n**3 - 3*n**2\/2 - 96. What is the second derivative of v(c) wrt c?\nAnswer: -24*c**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*234\/351*(-45)\/12*-2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -16284 (b) -2813 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -1720138.\nAnswer: -2\/860069","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -75 - 5*g + 41 - 79 + 0*g. Let y be k(-23). Solve 2*i - 24 = -5*m, -6*m + y*i + 12 = -2*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2 + l - 5. Let t be o(-4). Let r(v) = v - 4*v + 9 + 0*v + 4*v. What is the least common multiple of r(t) and 12?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4050)\/(-1440) - (-18)\/96.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18 + -10. Suppose 3*z + i = 4*z. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -11, -1537, -4057, -7553, -12007, -17401, -23717, -30937?\n\"Answer: 3*f**3 - 515*f**2 - 2*f + 503","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*i - 422 = -14*c, -3*i + 188*c - 189*c + 45 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 - 8*x + 3. Let b be 6\/(-4) - 13\/2. Let r be i(b). What is the second derivative of -1 + r*u**4 + 0*u + 1 + 2*u wrt u?\nAnswer: 36*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -479 - a8?\nAnswer: -576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) 0 (b) -2\/7 (c) -0.14 (d) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 1995?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 562\/22 + -26 + (-810)\/33\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 468631 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -222115103*w**3 - 86050534 wrt w.\nAnswer: -666345309*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j + 12. Let d be g(-6). Let a be (-12)\/(-5) + (-2)\/5. Solve a*c = 4*l + d, -5*l - 4 - 6 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 206538?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 - 7*m - 5. Let f be w(8). Let k(b) = -b**2 + 2*b + 3. Let v be k(f). Let x = 4 - v. Calculate the lowest common multiple of 1 and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 97075 and 34925.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -y + 5*q - 0*q - 28, 7*y - 44 = -13*q for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3\/8 + 17\/24. Is -2\/7 less than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -106*n**3 - 3*n**2 - n + 1. What is v(-1)?\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**2 - 240120*s + 1680987.\nAnswer: -3*(s - 7)*(s + 80047)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggg when three letters picked without replacement from {g: 14, p: 4}?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 49.15 - 50. Let i = l + 0.63. Let w = i - -0.2200135. What is w rounded to six dps?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 77553*c**3*m**2*o - 123*c**3*o - c**2*m*o**2 + 1890*c**2*m*o + c**2 + 196*c*m**2*o**2 - m - 5*o**2 wrt m?\nAnswer: 155106*c**3*o + 392*c*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1121011 + 1102?\nAnswer: 1122120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(1\/12)\/n)\/n**(-10))**(6\/31)*((n*n\/(n\/n**(-11)))\/n**(-11))**(-22) assuming n is positive.\nAnswer: n**(-1255\/62)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 10526921 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**3 + 237732*v**2 - 85972320*v + 7749172800.\nAnswer: 4*(v - 180)**2*(v + 59793)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + t**2 + 2)*(3*t**2 - 9*t**2 + t**2).\nAnswer: -5*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -76.8 times 80067?\nAnswer: -6149145.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of -a**3\/3 - 2*a**2 - 3*a + 138. Determine j(-7).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/145 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pplrpprrrrlpprpr. Give prob of picking 1 p, 1 r, and 1 l.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 104895837?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-7) + (-24726)\/(-546). Calculate the greatest common factor of 5 and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) 31 (c) -1 (d) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -150785, -150214, -149643?\nAnswer: -149072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -897815, -1795640, -2693465, -3591290, -4489115?\n\"Answer: -897825*b + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1862, -83, -752 in ascending order.\nAnswer: -752, -83, 1862","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.07 or 18\/5011?\nAnswer: 18\/5011","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -5 (b) 0.2 (c) -0.24 (d) -2\/19 (e) 34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 5*x + 14, v - 10 = 4*x + 2. What is b in -3*b**v - 18*b**3 - 18*b - 36*b**2 - 10*b + 4*b = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1991 - 2525.9. What is v rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n**5\/7 + 4764*n**4\/7 + 146202*n**3 + 30962856*n**2\/7 + 288857760*n\/7 + 724310400\/7 = 0. Calculate n.\nAnswer: -380, -19, -11, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*j + 150 = 34*j for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 517?\nAnswer: 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 2:39 AM?\nAnswer: 1:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:23 PM and 6:45 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 5*q**3 + 10*q**2 - 13*q - 33. Let s(r) = -9*r**3 - 21*r**2 + 27*r + 65. Let k(f) = 11*i(f) + 6*s(f). Does 11 divide k(17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 43222424 (base 5) to base 2\nAnswer: 1011001101010000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - n + 2 - 17, 0 = 2*q + 2*n. Solve -19 = 3*z - j, z - 50*j + 52*j = q for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122 = -2*q + 5*t, 4*q + 8*t - 12*t - 256 = 0. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2\/265 + -524\/795. Sort 2, o, -5 in decreasing order.\nAnswer: 2, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of 7\/18*k**3 - 7 + 5\/4*k**2 + 3\/2*k + 1\/24*k**4. Factor s(u).\nAnswer: (u + 1)*(u + 3)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (21\/(-9) + 2)*-3. Suppose 224 = 5*m - b. Does 9 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqk when three letters picked without replacement from qqkqqqqqkqkqkqkqqq.\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/(512\/40)*-2*2)\/(-1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 2*n**2 - 240*n + 2777. Calculate the remainder when y(115) is divided by 273.\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -17, -12, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-5)*-1*(-10)\/(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14111414 (base 5) to base 10.\nAnswer: 144609","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**3\/7 - 272*r**2\/7 - 586*r - 2100.\nAnswer: 2*(r - 150)*(r + 7)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 + (0 + 1 - 11) - -4) + 19 + 8.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 93 - 98. Is (-48610)\/d*(-1)\/(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 + (0 - -3) + 0. Let f = 5 + -2. Differentiate -f*u + 2*u - 4*u + z - 4 wrt u.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 55 + -34 + (14 + 0 - (-7 + (-1 - -14)))\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -253721, -507443, -761165, -1014887, -1268609, -1522331?\nAnswer: -1776053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -250, -1038, -3124, -7156, -13782, -23650?\n\"Answer: -108*h**3 - h**2 - 29*h - 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9.7 and -51.12.\nAnswer: 495.864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -66, -39, 6, 75, 174, 309, 486, 711?\nAnswer: 990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 4*a = 3*u - 20, 0 = 2*u - 5*a - 28. Suppose 0*w + u*w = 140. Calculate the remainder when w is divided by 1110\/50 + -9 + 1\/(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s**3 - 770950*s**2 + 1734674*s - 385484 = 0. Calculate s.\nAnswer: -96371, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13246359*k*q**2 + 2437193*k + 2*q wrt q.\nAnswer: -26492718*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5623200 rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g - 1. Let z be h(-4). Let p(l) = -l - 4. Let r be p(z). Is -5*r*((-76)\/5 + -2) a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*h = -64*h + 33 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-12 + 3 - 4)*(-16*a - 1 + 4*a - a) to the form n*a + w and give n.\nAnswer: 169","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.25 - 0.05. Let v = 0.5 + b. Are -1\/4 and v unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -94*w + 2284337 + 394513 + 454828. What is the thousands digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*(u*u\/u**(-2))\/u*u)**(-39)*u**(-13)\/(u\/(((u*u**(2\/27))\/u)\/u*u)) assuming u is positive.\nAnswer: u**(-5641\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + j - 2*j = 46, 2*s - 16 = -3*j. Suppose -s + 0 = 2*a. Find the common denominator of -42\/5 and a\/(-35)*(-145)\/(-8).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -761 = 4*v - 5*i - 2011, -i = v - 308. Let a(k) = 2*k**2 + k. Let u be a(-2). Suppose 4*r = -u + v. List the prime factors of r.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13499.8 in 3\/5, 0.04, 0?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 1 = 5*s. Let k = -10 + 23\/2. Which is bigger: s or k?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xfxgfffffxxfgfgggxxx. Give prob of picking 2 g and 1 f.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 357739\/124894 + -4\/5677. Calculate the common denominator of j and -11\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.4 - -1.6. Let i = 0.09 - -1.71. Let h = -2 + i. Sort h, -5\/3, q in decreasing order.\nAnswer: q, h, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 10 = 6*u. Let l be 5\/10*2*u. Solve 0 = 3*o - 5*p, -41 = -4*o - l*p - 15 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 275*o - 2*h - 155 = 270*o, -h - 160 = -5*o. Solve 11*k = o*k + 44 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4729 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 + 7*h**2 - 8*h + 6. Let n be c(6). Let q = 11 + n. Suppose 6*x - q = x. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 - 7*j**2 - 26*j - 270. Let x be g(-8). Suppose -5*d = -2*p + 3*p - 3, -12 = 4*d - 4*p. Suppose -2*h + h + 3 = d. Solve -x*c - h = 3 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/2)\/(-2*(-1)\/(-4)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the first derivative of l**5\/20 - l**4\/12 + l**2\/2 - 2*l + 4. Let q(v) be the first derivative of b(v). Let k = -7575 + 7574. Give q(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -3*x**3 + 6*x**2 + 3*x + 10. Calculate u(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 56\/181 + 16174\/2715. Calculate the common denominator of x and (-32)\/60 + (-2 + 5 - 2).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -33 - -50. Suppose 0 = -7*g - 18 - i. What is the nearest to 1\/2 in -2, g, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z - 12*z + 7*z + 15*z - 11*z.\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 15601*k - 31212. Give d(2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = s - 2*d, -20 = -2*s - 2*d - 0. Sort 3, 1, s in ascending order.\nAnswer: 1, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k**2 - 6500*k + 1551180 = 0. Calculate k.\nAnswer: -1506, 206","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -85\/8 in 40, -1\/4, 0.3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -9962 < -9962?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9433 - -518753\/55. What is the common denominator of q and ((-3)\/15)\/(-5 - (-24770)\/4950)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**5\/g)**(-9\/10) assuming g is positive.\nAnswer: g**(-9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 549 = 5*h - 926, -3*h + 883 = 2*u. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -108*u**3 + 28*u**2 - 2622 wrt u.\nAnswer: -324*u**2 + 56*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence em when two letters picked without replacement from emmem.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1958*t + 1963*t - 65*t**4 - 3950*t wrt t.\nAnswer: -780*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -56*s - 14933. Calculate r(-267).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 divided by -38931.\nAnswer: 14\/38931","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 542577*y - 542600*y = -1840 - 575 for y.\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04 plus -21840?\nAnswer: -21840.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 - (-80067 - (5 - 0)). Suppose u = -h + 13*h. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - a + 15 = -3*x, 3*a = 2*x + 10. Suppose a = -8*v + 3*v + 40. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1627724211 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -8 (b) 0 (c) 0.4 (d) 4 (e) 2 (f) 8781\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -1*(-5*((sqrt(38)\/sqrt(2) - sqrt(19))*-3 + sqrt(931)*1 + 4*(3*sqrt(95))\/sqrt(5)))**2.\nAnswer: -171471","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 5*m**2 + m. Let d be z(-2). What is the greatest common factor of d and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59826 - 11958 - 11961 - 11964 - 10*r - 11960 - 11983.\nAnswer: -10*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14 and 204?\nAnswer: 1428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8996 + -9000. Sort -9, 1, -2, i in decreasing order.\nAnswer: 1, -2, i, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 411334336?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/(-24))\/((-239)\/(-2151)). Let 0 + r*y**3 + 18*y + 21\/2*y**2 = 0. What is y?\nAnswer: -12, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -36535548*i**2 + 65145*i - 334 wrt i?\nAnswer: -73071096","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -30144975*o**3 - 2054037*o**2 + 2*o + 2 wrt o.\nAnswer: -180869850","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 106 divided by -3\nAnswer: -106\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 379 and 3790?\nAnswer: 3790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q**3 - 4349*q + 73*q**2 + 3*q**3 + 1396*q - 73*q**2.\nAnswer: 5*q**3 - 2953*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9375 and 250?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-8) - 27\/6. Let l(o) = -o - 4. Let d be l(s). Sort d, 4, -3.\nAnswer: -3, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 3*v = 2*u - 6, 10 = 2*v. Suppose u*c - 10 = 4*c. Find the second derivative of 6*h - c*h - 5*h - 2*h**5 wrt h.\nAnswer: -40*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes after 3:20 AM?\nAnswer: 8:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 189 or 794735\/4222?\nAnswer: 794735\/4222","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhstthqtthhtrrh. Give prob of picking 1 q, 2 h, and 1 s.\nAnswer: 3\/260","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76858618 is divided by 49?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7811 - 7.\nAnswer: -7818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2 and 17058672.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8\/3 of a century?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the third derivative of -531*o**5\/5 - 1177*o**4\/12 + o**2 - 876*o - 1. Find the second derivative of q(l) wrt l.\nAnswer: -12744","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 376 and 86392?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 6 = 4*j, -3*r - 3*j = 2*j + 103. Calculate the remainder when 100 is divided by 368\/14 - r\/(-91).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -788 divided by -197.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 408\/(-32) - (-1)\/(-4). Let u = 18 + q. Suppose -d - c + u = 0, 11 + 8 = 5*d - c. Calculate the remainder when d is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16840 - -8425. What is the greatest common divisor of u and 155?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h - 1 + 1)*(-8 - 12 + 13).\nAnswer: -28*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*x = 64*x + 40 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000010108 to six decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 7*d - 4. Let x(r) = r**2 - 25*r - 82. Let q be x(-3). Let a(n) = -20*n**2 + 0*n**q + 8*n**2 + 9*n**2. Determine o(a(z)).\nAnswer: -21*z**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 5*n = -55, -5*n + 54 = 5*g - 21. Solve -2 = -g*x + 12*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -h**4*m*t - 751752*h**3*m*t**3 - h**2*m*t**2 + 10545*h**2*m*t + 19*h*m*t**3 - 3*h wrt h?\nAnswer: -24*h*m*t - 4510512*m*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(180)*-2 + sqrt(180))\/(sqrt(250) + sqrt(250)*-2).\nAnswer: 3*sqrt(2)\/5 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3456?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -16147 or -16146?\nAnswer: -16146","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**2 + 14*q - 12. Let m be l(13). Let p(v) = v**2 + 3 + m + 0*v**2 + 0*v**2 - 2*v. Is 14 a factor of p(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80) + 2*sqrt(80) + -1 - (sqrt(80) + 4 + sqrt(80) + -2)) + (((sqrt(80) + 2 + sqrt(80))*4 - sqrt(80) - sqrt(80)) + -4)*-5)**2.\nAnswer: 5336*sqrt(5) + 67809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - 3. Let o = 0.22 + -2.62. Let g = z + o. Which is the smallest value? (a) g (b) 1\/3 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 703 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 504 and 350?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -2*a**2 - 87*a - 50. Give f(-40).\nAnswer: 230","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (4 + (-15 - (4 + -13 + 2))).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -71, -10, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -13 + -124 + 125\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-1 - (4 - 13)) - 3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5884715 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 + 3*s**2 + 2*s - 5. Let h be v(-3). Let x = h - 39. Solve 6*z - 4*z = x*g - 20, -g - 4*z = 13 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t - 4*t = -5*a, 2*a - t - 13 = 0. Suppose 0*l - l = -a. Solve l*u + 5*i = 1, 5 = -4*u + 5*i + 36 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*y + 28554 = 32*y. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 222721 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*o + 496*o**3 + 7*o - 3*o.\nAnswer: 496*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -4 (b) 5 (c) -0.1 (d) -9.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 1885 divide 85719989?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2655750.\nAnswer: 2, 3, 5, 3541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - 3. Let n = 0.3 + 0.1. What is the closest to 0.2 in n, b, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of v**4\/12 - 2*v**2 - 5326*v. Give p(6).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3132*w**2 + w**3 + 5553*w**2 + 442*w - 441*w - 1851*w**2.\nAnswer: w**3 + 6834*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 183.18187 rounded to the nearest integer?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43095 = 4*z - 43107. Let y(s) be the third derivative of 1\/15*s**5 + 0*s + 2\/3*s**z - 4*s**2 - 1\/120*s**6 - 1\/6*s**4 + 0. What is y(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.937 + 0.063. Suppose 6*p - 12 = 4*p. Sort h, p, -1\/3.\nAnswer: -1\/3, h, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23575 - 23569.92. What is the third smallest value in g, 5, -1\/11, -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 10:50 PM?\nAnswer: 7:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -132 in 0.2, -5, 1\/4, 13, -24?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 107 divide 2086286?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6101487.\nAnswer: 3, 7, 17, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1168 + 1115. What is the third smallest value in z, -6, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.15 + 0.2. Let x = -139212.9500056 + 139213. Let i = x - q. Round i to six decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1294 times 19?\nAnswer: 2.4586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 - 16 - 11 + 36 - 42*f + 112*f**3 + f**2 - 2*f**2 + 2*f**4 to the form v*f**2 + p + x*f + c*f**4 + d*f**3 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-159800)\/7050)\/((-2)\/(-8)*28\/21)\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -4*q - 20. Let o(y) = y + 7. Calculate -17*o(c) - 6*x(c).\nAnswer: 7*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 7*b**3 + 3*b**2 - 13*b + 13. Let r(q) = -2*q**3 - q**2 + 4*q - 4. Calculate 3*k(t) + 10*r(t).\nAnswer: t**3 - t**2 + t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*i**3 + 88594*i**2 - 177223*i**2 + 88629*i**2.\nAnswer: 14*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2069799 and 1194.\nAnswer: 597","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -87776, -175558, -263342, -351128, -438916?\nAnswer: -526706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0599 and 0.08548.\nAnswer: 0.005120252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -0.0877, 2.5?\nAnswer: -0.0877","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*z = -19*z - 31775. What is the highest common divisor of z and 75?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 469.801 years to months.\nAnswer: 5637.612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - -c0197?\nAnswer: c0196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -5*r**5\/4 + 29*r**4\/2 + 449*r**3\/4 - 1415*r**2\/2 - 300*r = 0.\nAnswer: -8, -2\/5, 0, 5, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 288 + -283. What is the second derivative of -7*p - 56*p**2 + p - 44*p**2 + b*p wrt p?\nAnswer: -200","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1429 - -164. What is the remainder when h is divided by 55?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -12*c**2 + 3*c + 6. Let x be t(-2). Let k = x - -67. Is k a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 10*i**2 - 5. Let f(u) = -5*u**2 + 2. Let s(w) = -4*b(w) - 9*f(w). Is s(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/7? (a) 0.26 (b) -1\/3 (c) 0.05 (d) 0 (e) -29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 384, 2, -7.9 in increasing order.\nAnswer: -7.9, 2, 384","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -6547 divided by -3921?\nAnswer: 6547\/3921","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-4)*-4)\/2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 13*l - 468. Let d(h) = -h**2 - 112*h. Give c(d(f)).\nAnswer: -13*f**2 - 1456*f - 468","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 10:06 AM?\nAnswer: 4:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 84188*b**3\/11 - 71418*b**2\/11 - 12798*b\/11 + 28\/11 = 0. Calculate b.\nAnswer: -2\/13, 7\/3238, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1 and (-3)\/((-3)\/20*2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.1 (b) 15 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5888124 by 67.\nAnswer: 5888124\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6462*g + 63243 - 151628 - 75427 = 88206 for g.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2*m + 57. Let s(o) = -3*o - 56. What is 7*n(c) + 6*s(c)?\nAnswer: -4*c + 63","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2944710842 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - s + 1 = 0, s + 0*s = 4*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 8, r - 13 = k - 2. Let o(j) = -j**3 - 3*j**2 + 1. Let y be o(-3). Calculate the highest common divisor of y and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-60)\/(-50)*(-5)\/(-2). Let d be (-289)\/(-6) + (-4)\/24. Suppose -33 - d = -i*k. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 116 and 29522.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -4*a - 1. Let d be ((-70)\/15)\/(-7)*-9. Let s be (-2)\/12*4*d. What is t(s)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -7*x**2 - 2. Let p(w) = -15*w**2 - w - 4. Calculate -13*d(z) + 6*p(z).\nAnswer: z**2 - 6*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27024 is divided by 227.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 21940117*b*m**2 - 1029756*b*m + 2*m - 6 wrt m.\nAnswer: 43880234*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((92\/(-3))\/(2\/(-3)))\/((-21)\/(420\/40))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 133\/9 + 42\/189. Let m(x) = -2*x**2 - x + x**3 - 307 + 309 + 6*x + 10*x**2. Let v be m(-7). Which is smaller: c or v?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 = -3*r + 28 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 2*w**3 - 2*w**2 - 18*w - 38. Let k be h(5). Solve 45*x + k = 57*x for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1612417 - -7?\nAnswer: 1612426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dtdddwwtwwdddw. Give prob of picking 1 w and 1 t.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-23)\/f)\/f**(-21)*(f**(-17)\/f)\/(f*(f**(-6\/13)\/f)\/f*f*f))**13 assuming f is positive.\nAnswer: f**(-280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k**3 + 114*k**2 - 249*k - 360 = 0. What is k?\nAnswer: -40, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001344745 rounded to 6 decimal places?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -191 + 738 = 53*d - 725. Solve 0 = -5765*l + 5771*l - d for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 7*u - 2*u - 7 + 5. Let n be g(1). Solve -n = 7*c - 6*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 117 - 56. Calculate the remainder when h is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21 + -101221010202?\nAnswer: -101221011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 2 l when four letters picked without replacement from {i: 2, d: 3, l: 1, q: 2, u: 4}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1961160 and 234065.\nAnswer: 1385","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2488 - 27369\/11. Which is the closest to 31? (a) 0.2 (b) s (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3000412249 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15502737?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2453?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 6 + 2. Suppose z = -4*p + 10, -4*z + 0*z - d*p + 76 = 0. Let r = -672 - -680. Calculate the remainder when z is divided by r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-24 - 3)*(0 - (-6 - -10)). Calculate the highest common divisor of 264 and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - -1) + -2 + 1. Let g(x) = -x - 6. Let z be g(-8). Put z, d, -1 in decreasing order.\nAnswer: z, d, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/19 or -102?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/q**(-2)*q))**(-3)\/(q**10\/q*q**(-2\/17)) assuming q is positive.\nAnswer: q**(2\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -3835*v. Let j(i) = 134745*i. Calculate o(j(z)).\nAnswer: -516747075*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-17)\/((-51)\/480) - -5. Let h = u - 11. What are the prime factors of h?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 + 5*o**2 - 6*o - 26. Let z be f(-5). Suppose 20*t = p + 19*t - 475, z*p - 1894 = t. What is the tens digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 9 + -7 - -11?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 527, 4393, 14923, 35447, 69295?\n\"Answer: 555*a**3 + 2*a**2 - 25*a - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - -12 - ((-1220)\/520 + 7 - (-15)\/(-6))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23 by -15158.\nAnswer: 23\/15158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 + 2*b. Let z(q) = -3*q + 2. Let j be z(-1). Suppose -v + j*v = d + 22, -4*d + 3*v - 23 = 0. Give h(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 AM and 7:20 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.05948 to 2 decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 80 and 1578740.\nAnswer: 6314960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) + (-2*sqrt(5))**2*-6 + sqrt(5) - sqrt(50)\/((sqrt(10) - sqrt(20)\/sqrt(2)) + sqrt(10)) - (sqrt(30)\/(5*sqrt(54)))**2.\nAnswer: -5401\/45 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, 4, -7, -26?\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 4*f - 844, 2*f + 5*t = 251 + 171. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101122 + 11?\nAnswer: 101210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 855 - 1679 - 1216 = -68*j for j.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*a**2 - 1635*a + 32220?\nAnswer: -4*a - 1635","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -2*j**2 - 392*j - 2. Let k(x) = -11*x. What is k(y(w))?\nAnswer: 22*w**2 + 4312*w + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are -2 and 4.9 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 30022 = -85*y + 87*y, -2*w - 2*y = -12020. List the prime factors of w.\nAnswer: 2, 3, 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15070\/(-9590)*(-2)\/33*9.\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3922213121 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 28 + -40. Let y be 119\/3 + j\/(-36). What is the highest common divisor of 16 and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 120*b - 619. Give u(9).\nAnswer: 461","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -927831 by -309277.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 69239, 138475, 207697, 276899, 346075, 415219, 484325?\nAnswer: 553387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3977 + 3953.37. Let c = -24 - b. Let o = c - -0.17. What is the second biggest value in -3\/7, o, 1\/4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = -12*u + 8*u - 8, 0 = -u + 5*w - 2 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 1*4 - (-24490)\/(-5925).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*h**5 - h + h + (0*h + h - 3*h)*(-3*h + 3*h + h**4) + 2*h**5 + 2*h**5 - 2*h**5 + (h - 3*h + 4*h)*(4*h**4 + 2*h**4 - 3*h**4) - 10*h**5 + 11 - 11.\nAnswer: h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-10)\/(-2)*(32\/20 + 0). Suppose c*s = -1366 + 4310. What is the tens digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, -2, -3, 0.011 in ascending order.\nAnswer: -3, -2, -1\/4, 0.011","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11902 - 9914. Calculate the least common multiple of 12 and k.\nAnswer: 5964","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-103)\/(-4) - (-52)\/(3536\/(-51)). Calculate the greatest common divisor of 400 and g.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/(-210)*(8\/(-2))\/1.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -23*p - 5. Let s(b) = -5*b - 1. Let v(y) = -m(y) + 5*s(y). Let k be 2\/8 + 11\/4. Let x(h) = k - 2*h + 6*h - 3. Determine v(x(t)).\nAnswer: -8*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23115.414733 + -24166.4154. Let g = x + 1051. Round g to 4 decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11313 and 19710.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7562041 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooa when three letters picked without replacement from nooao?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -347\/4 + 87. Factor 0*q**3 + 1\/4 + 0*q + r*q**4 - 1\/2*q**2.\nAnswer: (q - 1)**2*(q + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 185360 is divided by 37070?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1048 - 1032. What is the highest common divisor of 240 and b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxtxtxxxxtxxxx. What is prob of sequence xtx?\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -112100 rounded to the nearest 10000?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 6*n**2 - 16*n - 3. Let t be u(3). Suppose -544 = -5*p + 14*l - 12*l, 314 = t*p + 5*l. What is the greatest common factor of 4 and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v. Let y be g(0). Let z be 6\/1 - y\/(-1). Does 13 divide (39\/z)\/(-1)*-4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 28 - 13. Let j(r) = -r**3 - r**2 - r + 1. Let u be j(-2). Let s be (-14205)\/(-135) - (1 - u\/9). Calculate the highest common factor of s and q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/33300*-24*5.\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(2 - 81\/40). Find the common denominator of 65\/12 and (-875)\/30*(16\/4)\/r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3244 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 2 + sqrt(20)\/sqrt(4) - ((sqrt(245) - (sqrt(245) - sqrt(245)*-2)) + 5))**2*3.\nAnswer: 3375","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7 - -305849?\nAnswer: 305856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 87633\/17 + -5155. Which is smaller: 3\/74 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 262*w**2. Let o(g) = -4*g**2. Determine o(x(b)).\nAnswer: -274576*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14.06 - -14. Let r = -35\/8 - -611\/136. Which is the third biggest value? (a) r (b) 3\/2 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*4*(-2*(-3 + sqrt(1573) + sqrt(1573)) - sqrt(1573)) + -5)**2.\nAnswer: -8360*sqrt(13) + 629561","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52)\/(sqrt(36)*5) + 1)**2.\nAnswer: 2*sqrt(13)\/15 + 238\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.058 - 52.942. Let p = v + 69.6. Let m = 15 - p. What is m rounded to zero decimal places?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 + 3*p + 90223. Is u(0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/5 of a week?\nAnswer: 6048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 157 - 141. What is the smallest common multiple of 80 and k?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x - 9. Let p be h(-6). Let n = 17 - 31. Let i = p - n. Does 10 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -3*l + 1. Let d(i) = -38*i - 1 - 11*i + 50*i + 1. Give 5*d(n) + k(n).\nAnswer: 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 3*n - 5. Let d be r(2). Let g be 6\/(-10) - (0 - d). Is 0 > g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4113?\nAnswer: 3, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 38?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2942 and 118?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + 0 + 0 - (-238 + 244).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 384 is divided by 105?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10936*a**2 - 2315*a**3 - 10936*a**2.\nAnswer: -2315*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*w - 18*w - 4 + 1.\nAnswer: -24*w - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9448 is divided by 215?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1605.\nAnswer: 3, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 96818629?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, 47881, -2 in ascending order.\nAnswer: -2, 22, 47881","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/2 + (-1)\/(-4). Let i = 0.02 + -4.02. Let l = 0.022 + 0.278. What is the third smallest value in i, l, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*a + 35 = -10*a. Let j = a + -10. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1483)\/(-3) - (-5 - (-52)\/12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15887 divided by -114.\nAnswer: -15887\/114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 + 5*w**2 - 9*w - 2. Calculate n(-6).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23 by -113.\nAnswer: 23\/113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 522*d - 172*d + d**2 + 801 - 172*d - 176*d - 185 to v*d**2 + m + g*d and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/4928 and 61\/1408.\nAnswer: 9856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 45*c = 33*c + 7160144. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 350855655.\nAnswer: 3, 5, 41, 570497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1320223 (base 4) to base 8.\nAnswer: 17053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15975 is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a century in years?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 8:34 PM?\nAnswer: 4:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -4*m + 9 - 9 - 4. Let z be y(-2). Suppose 24 = z*q + 5*j, 2 + 12 = -2*q + 4*j. Solve 0*a + 9 = 4*k - 3*a, 2*k - q = 5*a for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 + j**2 - 5*j - 4. Let p be f(-4). Let u = 69 - 79. What is the tens digit of (p\/u)\/((-28)\/(-1330))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 5*o - 28 = 0, -2*r = 3*r + 2*o - 32. Suppose 0*s = -2*s - r. Let l(a) = a**2 + a - 4. Determine l(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 - -5. Let c be (-2 - m)*(-3)\/(-6). Put -1, -4, c in ascending order.\nAnswer: -4, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a - 5*a - 4 = 0. Let k(y) = -6*y + 6*y**2 - 6 + 4*y**2 - 6*y**a + y**3. Let u be ((-5)\/2)\/(1\/2). Calculate k(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 144468?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -993768*i - 704521?\nAnswer: -993768","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t**5\/13 + 24*t**4\/13 - 102*t**3\/13 + 184*t**2\/13 - 120*t\/13 = 0.\nAnswer: 0, 2, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 7*j - 16 = 3*j, 4*m + 20 = 5*j. Put -1, m, 2, -5 in descending order.\nAnswer: 2, m, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of 0 + 1\/2*x**3 + 0*x**2 + 2*x. What is y(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 21 = k - 6*k, 5*u = -5*k + 30. Suppose u*r - 4*r = 2*p - 12, -r + p - 3 = 0. What is the units digit of 5\/((6\/123)\/r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 10579058 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 less than 260\/89?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1279.\nAnswer: 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-0.10805.\nAnswer: 0.010805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 PM and 8:45 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 140 a factor of 996238?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) -4 (c) -0.5 (d) 20 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/7 and 67\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -17905284 divided by 867\nAnswer: -20652","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -55624 divided by 27812\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -16*h**2 + 10*h - 6. Let w(p) = 55*p - 437. Let y be w(8). Let j(d) = -5*d**2 + 3*d - 2. What is y*u(b) - 10*j(b)?\nAnswer: 2*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l + 1 - 1)*(-5*l + 6*l + 0*l) - 53 + 213*l + 7563*l**2 - 7571*l**2 + 55.\nAnswer: -6*l**2 + 213*l + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3\/2 + 2628793*q**2\/2.\nAnswer: -q**2*(q - 2628793)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * 36499.537.\nAnswer: 18249.7685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/2)\/(216\/(-2160)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7347.2 + -7350.09754. Let y = r + 2.9. Round y to 4 dps.\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = v + v. Suppose -10 - 2 = -v*c. What is the second derivative of h + 5*h**3 - h - c*h**3 - 3*h wrt h?\nAnswer: 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 4 - 11*y**2 - 8 + 6*y - 4 + 6. Let q(k) = -22*k**2 + 11*k - 5. Let f(x) = -11*h(x) + 6*q(x). What is the derivative of f(a) wrt a?\nAnswer: -22*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4\/(-20))\/((-54)\/90). Let w be 1 + (-2 - 1) + 2. Suppose -a*s**3 + 2\/3*s + w - 1\/3*s**2 = 0. Calculate s.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 311 - 210. What is the remainder when f is divided by 29?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -394 * 10.943\nAnswer: -4311.542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**2 - 5*p - 10. Let v be l(7). Suppose 4*m = w - 17, -2*m + 9 = -w + 4*w. Solve 3*x = -v*r - 28, 4*x - x - w*r = 8 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54 + -14 + -29 + 85.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.2372 - 0.23. What is s rounded to three decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 7 + 5. Suppose -h = s*h - 95. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 50*j + 480025. Let k(g) = -2*g. Give s(k(x)).\nAnswer: -100*x + 480025","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 54 + -100. Let m = 60 + t. Solve n + 5*b = -2*n - m, -2*n = 3*b + 8 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, g: 9}. Give prob of sequence vgvv.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 35*j**2 - 8*j. Suppose -67 = 11*b - 155. Let f(a) be the second derivative of -23*a**4\/12 + 5*a**3\/6 - 5*a. Calculate b*f(i) + 5*w(i).\nAnswer: -9*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**2 + d - d)*(0*d**2 + 3*d**2 - 2*d**2) + 5*d**4 - 5*d**4 + 3*d**4 + (2219 - 2219 + 231*d**3)*(-4 - 1 + 2)*(-2*d - 3 + 3).\nAnswer: 1387*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of -t**4\/48 + t**3\/12 + 3*t**2\/8 - 31*t. Find l, given that o(l) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i and 1 b when four letters picked without replacement from bibtbvvibbb.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o = 10*o - 39. Suppose 2*s - 73 = -2*j - o, 5*j - 124 = -4*s. Suppose 6*y - 436 - s = 0. List the prime factors of y.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u - 11*u + 52 = 0. Factor 2*c - 2 + 24*c**2 - u*c**2 - 6*c.\nAnswer: -2*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence izgh when four letters picked without replacement from {l: 2, h: 1, i: 1, z: 1, u: 1, g: 1}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -4*u - 10. Let s(y) = 11*y + 31. Let w(k) = 3*k + 13. Let m be w(-7). Let n(o) = m*x(o) - 3*s(o). Differentiate n(z) with respect to z.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000002656 rounded to 6 dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8287515*x - 7*x**3 + 8287515*x.\nAnswer: -7*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a century in months?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4\/11 - -10\/33. Let p = -14 - -9. What is the closest to n in p, 2\/13, 5\/3?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 + 20*s**2 - 4*s - 22. Let t be g(8). Suppose 0 = n + 5*n - t. Suppose -n = 4*i - 127. Solve b - i*b = 1 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -163.331 * 0.1.\nAnswer: -16.3331","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 + 5*z**2 - 5*z + 7. Let q be t(-6). Let d(r) = 4*r**3 - 2*r**2 + 2*r - 1. Let s be d(q). List the prime factors of (-1)\/(-2)*52 + s.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12918.51 + -11365.9. Let h = y + -1603. Let x = h + 50. Round x to one decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -6*y**2\/13 + 61702*y\/13 + 20568\/13 = 0?\nAnswer: -1\/3, 10284","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 8:59 AM?\nAnswer: 9:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 6 = 56. Suppose 0 = -3*a + 5*r - i*r + 12, -3*a - 3*r = -6. Put a, 5, -5 in descending order.\nAnswer: 5, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - -5. Let x = d + 2. What is the highest common factor of x and 56?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 958?\nAnswer: 2, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 + 6 = z - y, -z - 5*y = 20 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*x**2 - 60*x - 2*x**2 - 70*x + 130*x + 15 to r*x**2 + w + q*x and give w.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-m + 2*m - 2*m)*(-3 + 5 + 0) + 1 + 2 - m + 3 to the form s*m + b and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/5, -36\/29, 2, -3?\nAnswer: -36\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 1:04 AM?\nAnswer: 8:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 13*n**2 + 9*n**2 - 6 - 21*n**2. Let o(w) = -2*w**2 + 17. Give 17*a(r) + 6*o(r).\nAnswer: 5*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -80, 4, -4, -3, 3 in descending order.\nAnswer: 4, 3, -3, -4, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + -8 - -1) + (51 - 57)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 29 - 2. Let m = n + -27. Let i(t) = t**3 - 13*t**2 + 27*t - 45. Let h be i(11). Which is the smallest value? (a) m (b) h (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 - 7*v**2 + 12*v + 5. Let x be m(-9). Suppose 0 = -5*z + y + x, 5*z - y - 64 = -5*y. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 1 + 0)*(-2*f + 7*f - 3*f) + (-4 + 1 + 0)*((0 - 1 + 0)*(11*f + 6*f + 0*f) + 1 + 2*f - 1) + 5*f + f - 2*f + 2*f + 2*f - 6*f to d*f + l and give d.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5\/20 - 2*78\/(-16). Let t(c) = -c**2 + 16*c - 54. Let h be t(y). Solve f - h = 3*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 464 = 146. Let p = v + 125. Find z such that 24*z**4 + 15*z**p + 24*z**4 + 4*z**2 - 5*z**3 - 46*z**4 - 16*z = 0.\nAnswer: -4, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 8, k: 5}. Give prob of sequence kik.\nAnswer: 40\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 14039700 less than 14039708?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12155 and 692.\nAnswer: 8411260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 13734557 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (892*k**2 - 373*k**2 - 365*k**2)*(0*k - 3*k + 5*k)*(-1 + 3 - 4).\nAnswer: -616*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = 9*p - 10*p + t + 65, 6297*t + 45 = -p + 6295*t for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 864*w + 63 = 873*w for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4415*w - 325*w = -533*w + 235773 for w.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes after 9:25 PM?\nAnswer: 10:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n**4\/15 + 17698*n**3\/15 - 41268*n**2\/5 + 28288*n\/3 + 282944\/15 = 0.\nAnswer: -1, 4, 8842","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25 (base 7) to base 10.\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1445 is divided by 1414?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(1\/37))\/d**4*(d\/(d\/(d\/d**(4\/9)*d)))\/(d\/(((d\/(d*d**(-6)))\/d)\/d)))**(-1\/12) assuming d is positive.\nAnswer: d**(-509\/3996)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 3*k + 60. Suppose d + 3*j = 4*j + 9, 2*d = -2*j + 14. What is the remainder when k is divided by d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2351331371 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -18*h + 2. Let g(y) = -94*y + 177. Let m(q) = g(q) - 3*i(q). Determine m(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5754 and 6302?\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**14\/n**14)\/(n**(-7))**(-2\/11) assuming n is positive.\nAnswer: n**(-14\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 413435316?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 4 = -11*j + 13*j, 0 = a + 4. Solve -j*b + 16 = 12 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 446712?\nAnswer: 2, 3, 7, 2659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 13*u + 18. Let d be f(-1). Let k be ((-6)\/d)\/(((-36)\/40)\/3). Solve 0 = k*w - 4, 0*o - 2 = -5*o - 2*w for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 575 (b) -0.8 (c) 0.09 (d) -3\/4 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 - 9*r**2 - 10*r - 4. Let b be ((-16)\/(-6))\/((-4)\/12). Calculate the remainder when 21 is divided by c(b).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**5 - 2 + 2 + 6*d**4 + 0*d**5.\nAnswer: -3*d**4*(d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -14379 + 4\/(-12)*3. Let c be ((-159)\/(-21) - 2)*u\/(-15). Let o = 1793651\/336 - c. Find the common denominator of -115\/6 and o.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15162.\nAnswer: 2, 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -175 + 403. Suppose c = z - 5*z. List the prime factors of 2\/((-177)\/z - 3).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-238)\/(-10) + 1368\/(-8) + 145?\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -255 - 3555 = -9*u + 1914. Calculate the lowest common multiple of u and 106.\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 335 divided by -64\nAnswer: -335\/64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 5*z**2. Let q(u) = -1854673*u**2. Calculate q(v(m)).\nAnswer: -46366825*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 758052 = 5*c, -5*x + 59*c + 947623 = 58*c. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 + p + 1. Let d be 1\/((3 + -2)\/1). Let f(o) = 1 - 2*o**3 - 5*o**3 - 2*o + 4*o**3. Let w(c) = d*f(c) + 2*x(c). Differentiate w(q) wrt q.\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2, -22, -62, -122, -202, -302, -422?\n\"Answer: -10*i**2 + 10*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4\/655 + 227\/15720. Let k(j) be the second derivative of o*j**6 + 0 - 1\/8*j**2 + 0*j**4 + 1\/40*j**5 + j - 1\/12*j**3. Factor k(q).\nAnswer: (q - 1)*(q + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes after 7:28 PM?\nAnswer: 10:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 10*x + 21. Let n be r(-2). Which is the fourth biggest value? (a) n (b) 3 (c) -5 (d) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(2178) + sqrt(2178)*-2)*3)\/((sqrt(54) - sqrt(864))\/sqrt(9)*3*4).\nAnswer: -11*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 2*h - 14 = 0, 2*h = -2*r + 34 - 28 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8748 + 36082. What is the hundreds digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 + 3. Calculate x(-7).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 373\/61, -67, 2\/5 in increasing order.\nAnswer: -67, 2\/5, 373\/61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*h**(-3)))**(-1\/10)\/(((h\/(h**(-6)\/h))\/h*h)\/h*h**7) assuming h is positive.\nAnswer: h**(-143\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 + 5*u**2 + u + 25. Let q be p(6). Let y(d) = -16*d - 23*d - d - 1. Is y(q) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*w + 5*w - 11*q = 108, 4*w = 2*q - 12 + 40 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*g**3*h + 79*g**2*h**2 - 2*g*h**2 - g + 10*h wrt g.\nAnswer: 12*g*h + 158*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -155\/1974 and -31\/973.\nAnswer: 274386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 7*r**2 - 4*r + 2. Let o be t(2). Let k(b) = b**3 - 7*b**2 + 6*b. Let y be k(6). Let j = o + y. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/5 of a decade?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -4*t, -5*a = -5*t - 25 + 5. Sort 6, 0, 5, 3, a in decreasing order.\nAnswer: 6, 5, 3, a, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -19536, -23176, -29246, -37746, -48676, -62036?\n\"Answer: -1215*c**2 + 5*c - 18326","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/4 and 2\/87 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 0.5, -167 in descending order.\nAnswer: 0.5, -11, -167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 2 = d, x + 35*d - 6 = 32*d for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1856 is divided by 31?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -11 - ((2 - 17 - (2 + -14)) + 2 + -19)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 5*x + 13. Let j(r) = 4*r + 14. Determine -3*j(u) + 2*y(u).\nAnswer: -2*u - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 0.400349 weeks?\nAnswer: 2.802443","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5508 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -75*b**5 + 2190*b**4 + 44313*b**3 - 1277820*b**2 - 1042956*b - 209952 = 0.\nAnswer: -24, -2\/5, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 492 - 53 = -5*q, 3*q - 4*r + 275 = 0. Let j = 161 + q. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n - 2 + 2 + (-2 + 5 - 1)*(-n - 2 + 2) - 2*n - n + 2*n + 5*n - 2*n + n)*(2*n**2 - 2*n**2 - 2*n**2).\nAnswer: -4*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -6*x. Let a(c) = -c + 4. Let h(b) = -8*b + 13. Let f(i) = 3*a(i) - h(i). What is f(t(r))?\nAnswer: -30*r - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the third derivative of -c**4\/8 - 5*c**3\/6 + 3*c**2. What is z(7)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 4*z + 11. Let q be d(-2). Solve 0 = q*p - u + 4*u + 24, -4*p - 22 = 2*u for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, h: 1, b: 1, c: 1, r: 1}. What is prob of picking 1 r and 1 c?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -2*w + 811. Let p(g) = 11*g + 2. Calculate p(j(b)).\nAnswer: -22*b + 8923","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 17*f**2 - 41*f**2 + 20*f**2. Let p(c) = 1 - 2 - c**2 + 1. Determine w(p(s)).\nAnswer: -4*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of -d**8\/168 - d**4\/8 - 5*d**2\/2 + 3*d. Let r(m) be the first derivative of z(m). What is the second derivative of r(o) wrt o?\nAnswer: -40*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 552*t - 1105*t - 126 = -544*t for t.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fppfpzfppffepp. Give prob of picking 1 e and 1 z.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -18.51.\nAnswer: 92.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 17 = 5*l + 16, 2*l + 10 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 230, 1859, 6306, 14981, 29294, 50655, 80474?\nAnswer: 120161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -3*a + 6. Let c be t(5). Let z(p) = 3*p**2 + 70*p - 124. Let g be z(-25). Which is greater: c or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -m**4 + 576*m**3 + 101531*m**2 + 4058946*m + 7716392 = 0. Calculate m.\nAnswer: -73, -2, 724","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-81)\/108*((-16)\/(-9))\/(-2). What is the closest to 5 in -4, 17, i, -2\/17?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 5 + (-3*sqrt(720) + sqrt(720))**2 + 1 - ((0 + 1*(sqrt(720) + 4 + sqrt(720) + sqrt(720)))**2 + -4).\nAnswer: -3602 - 288*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17 - 14. Suppose -o - f*s = -5*o + 19, -o + 16 = -3*s. Solve 4*k = 21 - o for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 3*d**2 - 8*d - 2. Let x be g(-3). Let y = 184 - x. What is y rounded to the nearest ten?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.01? (a) 0 (b) 3 (c) 0.04 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*w)*(27*w**2 - 113*w + 113*w) + (2*w**2 - 3*w**2 + 2*w**2)*(-2*w + 1 - 1).\nAnswer: 52*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -20*r**2 - 24*r + 7. Let o(g) = 19*g**2 + 20*g - 6. Let c(d) = -5*m(d) - 6*o(d). Let s(z) = -3 + 3 + 3*z. What is c(s(w))?\nAnswer: -126*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -r - 5*m, 2*r = -4*m + 7 - 3. Let q be ((-9)\/r + -1)\/((-7)\/(-28)). Let d = q - -130. What are the prime factors of d?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of 385*z**4\/6 + 1438*z**3\/3 - 679*z**2. What is the first derivative of g(k) wrt k?\nAnswer: 1540","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from elu. What is prob of picking 1 u and 1 e?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 at least as big as 355?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 32294365128931+0.3\nAnswer: 32294365128931.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/2, 4, 0.082?\nAnswer: 0.082","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (1*(-3)\/(-6))\/(((-2911)\/(-1312))\/(-71))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*n + 30*n = 62*n + 149*n + 9888 for n.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7542 to the power of 1\/2, to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 84\/13 - 394\/65. Which is smaller: 1\/4 or z?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 3*p - 20. Suppose -z + 11 = 4*t, 4*t - t + 4*z = p. Find the third derivative of -4*f**t - 16*f**6 - 3 + 3 + 14*f**6 wrt f.\nAnswer: -240*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1131*f*q**2 + 16750*f - 84870007*q**2 wrt f?\nAnswer: 1131*q**2 + 16750","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19 - -16. Let a = 5 + i. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4884 and 4.\nAnswer: 4884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*i**3 + 0*i**3 + 3*i**3 + (-233*i**2 - 475*i**2 + 29*i**2)*(-2*i + 20 - 30 + 12).\nAnswer: 1356*i**3 - 1358*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10166179\/192 + 52949. Let p = c + 1\/64. Let o = 5 + -6. Which is smaller: o or p?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-20 - -19)*2\/(-18)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85782.\nAnswer: 2, 3, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-20)\/r**(9\/7))\/(r**(-8\/11)\/r*r*(r*r**29)\/r) assuming r is positive.\nAnswer: r**(-3816\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/687956 and 71\/2278?\nAnswer: 687956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -59 + 7. What is the highest common factor of s and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 63*(-34)\/(12614\/(-159))\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/(-6))\/(1\/15). Let w = 219 + h. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -10 and -9437.0738862.\nAnswer: -9447.0738862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = 3*n + 29, -4*q + 2 = -4*n - 30 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 200899 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2\/8069 + -104963\/266277. Calculate the common denominator of x and (0 - -82)*(-2)\/(-4).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 + u**2 - u - 4. Let b(w) = 2*w**3 - 3*w**2 + 3*w + 9. Let x(y) = -3*b(y) - 7*o(y). Suppose -5*g + 36 - 1 = 0. Let k = g - 10. Calculate x(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1346 - -1955. Let c = -418 + o. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/14)\/(7*(-12)\/56).\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-3)\/q**(-4\/3))\/(q**0)**27 assuming q is positive.\nAnswer: q**(-5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22550.\nAnswer: 2, 5, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 52*g**3*m*x**2 - 307*g**3*x**3 + 2*g**2*m*x**3 + 2*g**2*m*x**2 + 7*g*m*x + 30*m*x**3 wrt g.\nAnswer: 312*m*x**2 - 1842*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + 9. Let i = l + -4. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -111*a*d*t*u + 10*a*d*u - 2*a*t - 8*a*u - a + 12*d*t*u - 8*d - 1 wrt t.\nAnswer: -111*a*d*u - 2*a + 12*d*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 6) in base 15?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 216646 + 12?\nAnswer: 216660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**2 + 0 + 0)*(8*q + 0*q + 3*q) + (-4 + 4 + 4)*(3*q**3 + q**3 - 3*q**3).\nAnswer: -18*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -18*q - 316. Determine c(-17).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 + p + 70. Let a = 38 - -8. Suppose -8 = -3*s + a. What is the remainder when w(0) is divided by s?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/635904 and -67\/494592.\nAnswer: 4451328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.199522 + -2.2. Round d to 5 dps.\nAnswer: -0.00048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -48, 6, -2\/3, -0.5, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 less than -5054?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13110*k - 1 + 6577*k + 8*k**2 + 6620*k to p*k + x + b*k**2 and give p.\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4817?\nAnswer: 4817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 - 33*z + 182. Let l be c(7). Suppose 2*j - 31 = -5*b, 5*j - 9 = 2*j. Solve -4*o - 4 = 4*v, o + b*v + 6 + 15 = l for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19 - -13. Let t be 6\/p*(1 + 0). Which is smaller: -0.04 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.11, -2986, 5, -258?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 77 or 80?\nAnswer: 80","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*b + b - 1065. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 8 = -6*o - n, -12 = 2*o + 5*n. Suppose 5*l = -20, 2*f = -2*l + 30 + 46. Let r be 8\/3*f\/(-28). Put r, 1, o in increasing order.\nAnswer: r, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 734*p + 6876 + 1198 for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -a + 44, n - a + 2 = 2*a. Suppose -i + 3*g = -64 - 16, -5*i = 4*g - 324. Let q = 118 - i. What is the highest common divisor of q and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-3 - (3 + 0)) + 211.\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 139*l**2 + 8615*l + 76. Determine o(-62).\nAnswer: 262","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 4446*b + 53251. Calculate t(-12).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7.48 - -7.34. Which is the third biggest value? (a) -1\/4 (b) k (c) 3.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.07 - 0.0841. What is w rounded to three dps?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-3 + sqrt(153))**2 - (-1 + sqrt(153) + 4)) + 3.\nAnswer: -648 + 69*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 4*a + 2. Let y = -18 - -20. Let v(t) = -t + 0*t + 4*t + y. Calculate 5*p(m) - 6*v(m).\nAnswer: 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1008940 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 27 = 43. Let c = -43 + g. Suppose -4*k = -12, -c = -3*q - 0*q + k. What is the remainder when 18 is divided by q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*((-4)\/(-64)*2)\/(3\/24).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19265 is divided by 101?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 727*m**5 + 6*m**4 - 6802*m**3 - 85677799*m?\nAnswer: 14540*m**3 + 72*m**2 - 40812*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -414331 (base 5) to base 9.\nAnswer: -20730","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3847101205 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 PM and 6:04 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.158 - 0.248. Let x = -2.21 + z. What is the second biggest value in -1, x, -5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1707, -2650, -3593?\nAnswer: -4536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5894)\/(-45) - 4\/(-18). Let f = 119 - l. Calculate the common denominator of f and -58\/7.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-44)\/(9504\/810)*(-24)\/(-21).\nAnswer: -30\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107*n**2 + 12*n**3 + 107*n**2.\nAnswer: 12*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.022 and -401618860.\nAnswer: -401618859.978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(77))\/sqrt(11))**2 - ((sqrt(700) + -1)**2 - sqrt(700))) + (1*(0 + sqrt(567)))**2 + -1.\nAnswer: -128 + 30*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/(-6))\/(5\/(-25)). Let t = -10.6 + 11. Sort 0.5, t, p in descending order.\nAnswer: p, 0.5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/10 of a gram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 287947?\nAnswer: 11, 26177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -3 (b) 5 (c) -2\/15 (d) 72151 (e) 2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 3718*r**2 - 19*r - 104. Is j(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w - 1. Let b(n) = -15*n - 389. Let m be b(-26). Suppose -2*q = -4, -4*q + 5 = y - 3*q. Let s(u) = 5*u + 2. What is m*s(j) + y*g(j)?\nAnswer: 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 70\/16 - 24\/(-64)*-1. Let w(a) = a**3 - 3*a**2 + 3*a. Let f be w(2). Solve x*k - 2 = f for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/3)\/((-158)\/(-2291)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -37, -183, -433, -787, -1245, -1807, -2473?\n\"Answer: -52*f**2 + 10*f + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = 5*i + 39 - 31, -3*i = i for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3 (b) -0.993 (c) 4 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - 5. Let n be (18\/8)\/(b\/4). Let w = 16 + n. Solve -i + q + 2 = -0*q, q = -2*i + w for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 3392.584mm?\nAnswer: 0.003392584","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 142393.8197 to the nearest 100.\nAnswer: 142400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*m**(-14\/9)\/m*m**(-10))**(2\/45))**(-1\/24) assuming m is positive.\nAnswer: m**(19\/972)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**3 + 0 + 0)*(-p - 1 + 1 + (-p + 5*p - 5*p)*(-2 + 6 - 3) - 9*p - 9*p + 0*p)*(2*p + 0*p + 0*p) - 31*p**5 - 4 + 36*p**5 + 0.\nAnswer: -35*p**5 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 7*w**2 + 2*w - 3. Let r be m(-3). Let f = -9 - -45. Calculate the highest common divisor of f and r.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of t**3\/3 - t**2\/2 - 7*t + 2. Let c be 144\/(-10) - 16\/(-40). Let l = c - -14. Determine s(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -2*j. Let k(n) = n**3 - 10*n**2 + 16*n + 10. Let y be k(8). Let p(h) = -4 - 2 + 11*h - 2 + y. Calculate p(a(v)).\nAnswer: -22*v + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zt when two letters picked without replacement from tttvttvvvz?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 - 9*x - 11. Let h be y(-8). Let i be 1 + -1 - h - -2. Solve 10 = -i*n - 10 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n**(1\/3)*n\/(n\/(n*n\/((n*n**(3\/5))\/n)))*(n*(n**(2\/19)*n)\/n*n)\/((n*n**(-8))\/n*n) assuming n is positive.\nAnswer: n**(3374\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 - 2*g**2 - 3*g - 4. What is q(3)?\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/5*(5667\/17001)\/((34\/60)\/1).\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 + 2768\/280)\/(10\/(-35)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 35 and 450.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5389*a + 770 = -5424*a for a.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 34215*k**4 + 2*k**3 - 55806 wrt k.\nAnswer: 136860*k**3 + 6*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, -2\/5, 0.12, -25, -0.1 in descending order.\nAnswer: 2\/9, 0.12, -0.1, -2\/5, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 162 = 13*s - 129, -69 = s + 2*b for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 7) to base 8\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -28020 + 28016. Are z and 161.9 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + -6392?\nAnswer: -6392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 7*m**2 + m. Let q(o) = -o + 11. Let v be q(12). Let g be c(v). Let w(s) be the second derivative of -s**5\/20 + s**4\/2 - 2*s**2 - s. What is w(g)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1153?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/20 - 26\/(-10). Solve 16 = -u - 3*q, -u = l*q - 8*q - 16 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 h when three letters picked without replacement from yyhhy?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*i*l**3 - 3*i*l**2 + 94*i*l + 12352*i wrt l?\nAnswer: 15*i*l**2 - 6*i*l + 94*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 - 2*w**2 - 7. Let p be x(-3). Solve 0 = -2*t + t + c, -p*c + 4 = -4*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -47855 - a8?\nAnswer: -47952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13268 and 13696.\nAnswer: 424576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*q**4 - 2*q**4 - q**4)*(0 - 13 + 4 + (-3 + 0 + 2)*(45 + 46 + 31)).\nAnswer: -262*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -591390000 rounded to the nearest 1000000?\nAnswer: -591000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1455135, 2910271, 4365407, 5820543, 7275679?\nAnswer: 8730815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -27*o + 221. Let t be k(-22). Let m = t + -710. What is the highest common factor of 175 and m?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 2\/11, -0.23, -1849?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y - a + 10, -3*y = -25*a + 27*a + 1. Solve 3*g = -q - 14, y*g + 5 = -5*q - 17 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 * -43\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 306 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -61, -4 in descending order.\nAnswer: -4, -11, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 200211 (base 3) in base 12?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 48356856 and 1656?\nAnswer: 1656","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6645487 to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 + 6*m + 22. What is y(-5)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 + z**2 - 3*z - 3. Determine j(4).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 223603?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2423, 2591, 2855, 3215, 3671?\nAnswer: 4223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -32*u**4 - 13*u**4 - 72*u**4 + (3*u**2 + 25 - 8 - 4*u**2)*(-u**2 - 2*u**2 + 2*u**2) to the form x*u**3 + i + h*u**2 + m*u**4 + z*u and give h.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i - 4. Let o be w(2). Let c(q) = 5*q + 15. Let n(g) = g + 0 + 5 - 1. Let f(s) = o*c(s) + 9*n(s). Determine f(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 666215 is divided by 41547.\nAnswer: 1463","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 451 divide 46165262?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 43 in -36\/55, 0.012, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**2 - 15003*a + 15000.\nAnswer: 3*(a - 5000)*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91046.\nAnswer: 2, 45523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 4 = 4*n + 14, 5*n + 8 = -a. Suppose 4 = 4*t - a*v + 3*v, 0 = 3*v. Calculate the remainder when 64 is divided by 1\/t*1 + 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1120 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 PM and 3:57 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, -5, 4, 1 in descending order.\nAnswer: 4, 1, -5, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -4*x**4 - 787980*x**3 + 45716296*x**2 = 0.\nAnswer: -197053, 0, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 16 = -3*o + 2*o, 4*o - 5*u - 109 = 0. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 210 and 12754315?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -9, 36119, 81?\nAnswer: 81","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 29398728.32999957 - 29398728. Let h = k + -0.33. What is h rounded to 7 dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, n: 3, j: 4, d: 3}. Give prob of picking 2 d.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -464, 3, 1, -4, -3, 6, 4 in descending order.\nAnswer: 6, 4, 3, 1, -3, -4, -464","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -33 - -47. Factor -4 - 14*p**5 + 12*p + 12*p**4 + 5*p**5 + 6*p**2 - 8*p**3 - n*p**2 + 5*p**5.\nAnswer: -4*(p - 1)**4*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 2*b**3 + b - 1. Let a be h(1). Suppose 0 = -y + 4*c - a, 4*y - 5*c = -2*c + 5. Let q(x) = -y*x + 4*x - 3*x + 2*x. Calculate q(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1330824 divided by -6248?\nAnswer: -213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 756880?\nAnswer: 2, 5, 9461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 3*u - 11 = 0, 0*y - 53*u + 24*u = 4*y + 120 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53701 is divided by 53613.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -1272*u**3 + 4*u**2 - u + 7. Let w(i) = -847*i**3 + 3*i**2 - i + 5. Determine 7*w(h) - 5*x(h).\nAnswer: 431*h**3 + h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4430, -8862, -13294, -17726, -22158, -26590?\nAnswer: -31022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -504224, -504222, -504218, -504212?\nAnswer: -504204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 59 = h, -81*h + 5*q + 47 = -79*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/(a*a**5))\/a)\/a*a\/(a*a**2*a))\/(a**(-2\/17)\/(a*a\/a**(-1)*a)) assuming a is positive.\nAnswer: a**(-100\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/24 and 67\/1512?\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 q when two letters picked without replacement from {q: 4, v: 10}?\nAnswer: 40\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 1)*(-5499 - 12107 + 1164)*(v - v - v**2).\nAnswer: 32884*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -22, 7, 3.\nAnswer: -22, -2, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 - -1)\/((-6)\/(-9)). Let t be (-13 + 0)\/((-6)\/(-12)). Let n = t + 51\/2. Which is smaller: n or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 15*c + 10 = -14*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -36893\/6 or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2\/7, -1544.9 in ascending order.\nAnswer: -1544.9, -1, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 48*(-9 + 26\/4). Does r = 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -3, -0.3, -0.5, 1.5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 153699?\nAnswer: 3, 7, 13, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2017\/108 - 55\/108. Calculate the common denominator of -1\/8 and p.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40222617?\nAnswer: 3, 13407539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 238*a**2*d**2 - 47*a**2*d - a**2 - 8*a*d**2 - 311*a*d - a + d**2 + d wrt a?\nAnswer: 476*d**2 - 94*d - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*u - 5*u**3 + 11*u**3 + 5*u**3 + (-5*u + u + 2*u)*(-3*u**2 + 3*u**2 + 2*u**2).\nAnswer: 7*u**3 - 4*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) -104\/3 (b) -1\/55 (c) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d**2\/21 + 88910210*d\/21 = 0. Calculate d.\nAnswer: 0, 44455105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k - 3. Calculate n(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 4*v + 306 = 0. Let g = 304 + v. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 8*n + 36. Let c = -361 - -377. What are the prime factors of t(c)?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.22071207 to 4 decimal places.\nAnswer: 0.2207","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54 = -116*f + 915 + 995 for f.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 931, -0.01, 5\/3 in descending order.\nAnswer: 931, 5\/3, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-330)\/(-6) - (2 + -1*2) is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 453201 and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 a when two letters picked without replacement from {a: 4, q: 5, u: 1, c: 6}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 10) to base 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 + 20)*(-v**2 - 1 + 1 + (-2*v + 5*v - v)*(0*v - 3*v + 4*v)).\nAnswer: 25*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-126)\/56*(-4)\/(-36). Which is smaller: j or -324?\nAnswer: -324","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-14)*7*6\/(-63)*1.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2 * -0.149\nAnswer: -0.298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5631, 5606, 5581, 5556, 5531, 5506?\nAnswer: 5481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 + 2*y**2 - 2*y + 12. List the prime factors of k(0).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.02 (b) 17 (c) 1\/7 (d) 3\/5 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25\/3953 - 120205\/2869878. Calculate the common denominator of f and 19\/176.\nAnswer: 5808","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 3*l**3 - 3*l**2 - l + 4. Calculate the least common multiple of z(2) and 20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 48 and 246?\nAnswer: 1968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 6693 - 12694 - 5888 = 0. Calculate the greatest common factor of 15 and u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 - 17*p - 14. Let n be v(-16). Solve 1 = -b + 2, -j = n*b for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7235, -7240, -7249, -7262, -7279, -7300?\nAnswer: -7325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (133 - 0)\/7 + (-12 - (-17 + 8)). Solve -53*j = l*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z + 3*z + z**3)*(43 + 42 - 51 - 67*z).\nAnswer: -67*z**4 + 34*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1687 and 10.\nAnswer: 16870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -5*o**4 + 10*o**3 + 60*o**2 - 200*o + 160 = 0.\nAnswer: -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 31291*m = -31296*m + 6, 4*m - 4 = -2*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.06 + 1. Let z = -0.3 - -1.24. Let t = h - z. Which is bigger: t or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (-19 + 21 + -16 + 4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q**2\/2 + 403*q + 162409\/2 = 0. What is q?\nAnswer: -403","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4085 rounded to 1 dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*t**2 + 7*t**2 + 3*t**2.\nAnswer: 13*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24*-5*(-3)\/45 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1829 and 992?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 3*b + 10 = 0. Suppose -6 = -2*x - b. What are the prime factors of 10 + ((-2)\/x - 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 - 12*l**2 - 11*l + 9. Let h be p(-11). What is the common denominator of (h\/(-30))\/(4\/(-65)) and -58\/5?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*n + 212 + 9*n - 116*n + 38*n.\nAnswer: -22*n + 212","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23 + -13 + 15 + (14 - -3).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 1 + (-1 + sqrt(637) + sqrt(637) - sqrt(637)) + sqrt(637) + 1 + -4 + (sqrt(637) + -1 + sqrt(637))*-3)**2.\nAnswer: 10192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -19, 150 in decreasing order.\nAnswer: 150, 9, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/6, 3, 2628, -3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33, -64, -95, -126?\nAnswer: -157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/(-18))\/(5\/15). Let r be 6\/(-9) + (-11)\/(-3). Suppose -2*k + 1 = -r. Is k less than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-36 + 38 - 25)*(-3*s + 4 - 4) + 7*s - 14 + 13 - 3*s)*(-4*s**3 + 4*s**3 + 2*s**3).\nAnswer: 146*s**4 - 2*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + 3. Suppose 10663*i - 6 = 10662*i. Let j(l) = -3*l - 5. Let p(k) = 3*k + 6. Give i*j(v) + m*p(v).\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 147 + -78. Let o = -64 + y. Solve -5*v - 15 = -3*d, -2*v + 0*v - 25 = -o*d for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 92\/7 (b) 0.5 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -757*g + 755*g - n = -35, 6*g = -n + 111 for g.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from {y: 4, v: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -x - 39, -5*g - x + 32 = 80. Let f(q) be the second derivative of 5*q**4\/12 - 5*q**3\/6 + q. Let s(v) = v**2 - v. Determine g*s(r) + 2*f(r).\nAnswer: r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 96*b*j*z**2 - 35*b*z**2 - 25192*j**2 + 121360*z**2 wrt j.\nAnswer: 96*b*z**2 - 50384*j","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 65, 60, 55, 50?\n\"Answer: -5*x + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, w: 2, l: 3, h: 7}. What is prob of picking 2 h?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -483, 1\/3, 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**6*c*c*c**6*(c\/(c*c\/(c\/(((c**(1\/2)*c*c)\/c)\/c)*c)))\/c*c\/(c\/(c**(-6)*c))*c assuming c is positive.\nAnswer: c**(19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**2 - 555*w - 552.\nAnswer: -3*(w + 1)*(w + 184)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 42755407 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 + i - 6. Let m be v(0). Suppose -p - 3 = 3*q - 4, -15 = -4*p - q. List the prime factors of p - -4*(-9)\/m.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*v - 720 = 0, 2*w + 5*v + 102 = 30 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7219 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (-269)\/(-4) - (-1)\/(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13742 is divided by 508.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 6, 54, -6, 4 in descending order.\nAnswer: 54, 6, 4, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n. Let j(s) = -2*s**2 - 2306. Calculate l(j(a)).\nAnswer: -2*a**2 - 2306","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 85 - 37. Let b = 31 - 63. Let f be b\/(-10)*(28\/8 + -1). What is the greatest common divisor of f and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p**4 + p**4 - 2*p**4 + 0*p + 0*p + 2*p**4 + 2*p**4 - 2*p + 2*p + 5*p**4 + 2*p - 2*p + (5*p**2 - 3*p**2 - p**2)*(0*p**2 + p**2 - 2*p**2).\nAnswer: 7*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-16)\/((b\/(b**(11\/4)*b))\/b))\/(b**(-7\/4))**38 assuming b is positive.\nAnswer: b**(217\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27406335, 27406345, 27406375, 27406437, 27406543, 27406705, 27406935?\nAnswer: 27407245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {e: 2, g: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of -t**6\/24 + 49*t**5\/20 + 51*t**4\/8 + t**3\/6 - 101*t**2\/8 - 51*t\/4 - 2670. Factor i(q).\nAnswer: -(q - 51)*(q - 1)*(q + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1489456 divided by -4.\nAnswer: -372364","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 5646\nAnswer: 5\/5646","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -0*c + 105. List the prime factors of (-343)\/c + 2\/(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -625*d + 304*d = -426*d - 1575 for d.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w + 57. Let j be s(-12). Find the third derivative of -43 - 22*n**2 - 83*n**3 - j + 86 wrt n.\nAnswer: -498","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1722\/(-36))\/41*20\/(-245)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 20 = 3*c, -5*f - c + 37 = 4. Solve 0*b**2 - 11*b - 2*b**2 - 2 + f*b = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 8*g - 5. Let z(x) = 6 + 0 - x - 4*x - 4*x. Calculate 7*o(t) + 6*z(t).\nAnswer: 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1943609 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 71769 to the nearest integer?\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 3, 0.29, -3?\nAnswer: 0.29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve n**2\/2 + 1817889*n\/2 - 3635786 = 0.\nAnswer: -1817893, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 9*k + 1470 = 0. Let q = -47 + k. Does 13 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 138 = -3*m. Let v(s) = 45*s**3 - 3*s**2 - 30*s**3 - 14*s**3 + 15 - 19*s + 0*s**2. What is the remainder when m is divided by v(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 138 - 133. Suppose -5*u - 3*r = -29, -z*r = u - 2*r - 1. Let b = -57 - -82. What is the remainder when b is divided by u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2753260 to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 + 4*p. Let q be (2 - -2)\/(4\/(-10)). Let c be ((-32)\/20)\/(q\/(-25)). Let x be v(c). Solve -3*y + f + 3 = x, -4*y - 9 = -3*y + 3*f for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0079549 times -0.45?\nAnswer: -0.003579705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1597 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5102791 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 4747*y**3 + 6*y**2 + 67*y + 280. Let u be d(-9). What is u rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - -4. Let l(s) = -s**3 + s**2 - 1. Suppose o - 4 = -5. Let k be l(o). Calculate the greatest common factor of c and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (882*j**3 - 5990542 + 5990542)*(4 + 0 + 0).\nAnswer: 3528*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 926550579 to the power of 1\/2, to the nearest integer?\nAnswer: 30439","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5.9 - 6. Let j = d + -0.1. Let u = j + 1.6. What is u rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 4748 and 104461\/22 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29950?\nAnswer: 2, 5, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1 and 10909.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 16.5*6\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vtd when three letters picked without replacement from {f: 5, t: 1, o: 1, y: 3, v: 6, d: 4}?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -107, 0.391, 0 in decreasing order.\nAnswer: 0.391, 0, -107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from {n: 5, k: 5, a: 5, v: 5}.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7780*i**2 + 7780*i**2 - 4 - 6*i**3 + 10*i.\nAnswer: -6*i**3 + 10*i - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -59\/4847 - 150314751\/33929. Let w = 2045833\/462 + h. Calculate the common denominator of 101\/22 and w.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.1708200062 - 321.1708247562. Let x = 321 + b. What is x rounded to 6 decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -293 (base 11) to base 14.\nAnswer: -1a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2088046*632\nAnswer: -1319645072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2271 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -53 + 479\/9. What is the nearest to -3 in s, -1\/4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 PM and 11:52 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 4*z**4 + 8*z**3 + 6*z**2 - 6*z + 6. Let o(n) = -11*n**4 - 24*n**3 - 17*n**2 + 17*n - 17. Let q(v) = -17*d(v) - 6*o(v). Factor q(p).\nAnswer: -2*p**3*(p - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*c - 5 = -16. Let f be c\/(-4) - (-105)\/60. Solve 2*d - 16 = -f*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -32 + 52. Let v = u - 1. What is the remainder when v is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -2, 0.1, -0.14, 8?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -114 in 0.4, -6, -10, 28?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 36297623?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2629 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 373339353 to the power of 1\/2, to the nearest integer?\nAnswer: 19322","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -2*j + 4. Let s be y(5). Let h be 2183\/16 + (-3)\/s. Let b = h - 137. Which is bigger: b or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + k = -0*k - 5, -2*m - k + 1 = 0. Suppose 2*r = 0, m*l - 5*r - 10 = 8. Suppose 3*t - 88 = 71. Calculate the remainder when t is divided by l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 68*r**3 + 69*r**3 + 1.\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 3*w = -3, -3*i + 0*i - 3 = 2*w for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zubxuuuuuuuxu. Give prob of picking 1 u and 1 x.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (134 + -143 - 196\/(-22)) + 324\/2838?\nAnswer: 1\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101020000 + 222201122?\nAnswer: 121111122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1754 + 8716\/5. Let w = 33 - 47. Calculate the common denominator of 2\/10 + w\/4 and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 414 - 123 = 5*z, 4*z + 2*y - 234 = 0. Calculate the greatest common divisor of z and 1425.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - 34 - 14. What is the units digit of t*((-20)\/(-12) + -3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**2 + 8*o + 2. Let a be i(8). Let x(b) = 4*b**a + b + 10*b**2 + 2 - 2. Is x(3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.7 + 0.73. Let n = -0.97 - c. What is the second biggest value in -0.2, -2\/17, n?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 + 7*c**2 - 2*c. Let f be -6*((-4)\/(-8) - 1). Let i(k) = k - 8 + f*k + 4*k - 5*k. Let s be i(5). What is g(s)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 5*z = -v - 22, 5*z = 3*v - 26. Suppose -5*m - w = -5*w + 449, -3*m = -v*w + 269. Let y = m + 109. Calculate the least common multiple of 8 and y.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -o + 5*c + 13, -5*o - 2*c + 26 = 0. 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: Simplify (6*(sqrt(1584) - (sqrt(1584) + (-3*sqrt(1584)*3 - sqrt(1584))))*-4)**2*-2 + -4.\nAnswer: -182476804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of g**4\/6 - 2*g**3\/3 + g. Solve a(w) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*b - 22606 = -57244 - 44826. What is the smallest common multiple of b and 1591?\nAnswer: 38184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010101001100011111100 + -11?\nAnswer: 1010101001100011111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 644 + -588. Does 7 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2148 and 120?\nAnswer: 21480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -20*p + 12*p + 8 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 5*y**3 + 9*y**2 - 18*y + 7. Let o(g) = -3*g**3 - 5*g**2 + 10*g - 4. Let c(k) = 7*o(k) + 4*z(k). Determine c(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 10 = 2*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*o - 13*o - 546 = 0. What is the remainder when o is divided by 46?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.39 - 17.61. Let j = w - -15. Let s = j + 6. Put 0, s, -1\/7 in descending order.\nAnswer: s, 0, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-2) + ((-114)\/13 + 9 - (-11044)\/(-143))?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 14 - 2. Suppose -v + 29090 = g*p + 4*v, 48502 = 5*p - v. Round p to the nearest 1000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 3*y. Let p(w) = -1008906*w. Calculate p(t(l)).\nAnswer: -3026718*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 14389340?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -4*b + 44, -k + 86 = 6*b + k. Is b at least as big as 29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 174*f**2 + 3*f + 30 wrt f.\nAnswer: 348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 4*n**3 - 256*n**2 + 716*n + 976 = 0.\nAnswer: -1, 4, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 42182803.\nAnswer: 8436560.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-5*(0 + sqrt(18) + -5 - (sqrt(98) + -5*(2*sqrt(98) + sqrt(98))))*-5 + 0)**2.\nAnswer: -631250*sqrt(2) + 12766876","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1, -2190, 0 in increasing order.\nAnswer: -2190, -1, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*q**4 + 5*q**3 - 6*q**4 - 2*q**4 + 1)*(4 - 6 + 3 + (1 + 3 - 3)*(0 - 1 - 1) + 7 - 3 - 2 - 1 + 0 + 0 - 4 + 2 + 3 - 2 + 4 + 2 - 2 + 0 + 3)*(1 + 2*q - 1).\nAnswer: -12*q**5 + 60*q**4 + 12*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 247*g + 223 = 81*g + 2879 for g.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2723 rounded to 2 dps?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0425083433 rounded to three dps?\nAnswer: -0.043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19 and 323.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 41585, 41563, 41505, 41393, 41209, 40935?\n\"Answer: -3*w**3 - w + 41589","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -3*s + 1. Let c be m(-1). Suppose -5*d = 2*i - 34 - 12, -2*d + 12 = c*i. Suppose -4*g = -358 - d. Calculate the remainder when g is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0919402 minus -5?\nAnswer: 4.9080598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 429172 = -2176*f + 343*f - 9461*f for f.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 - 11096*m.\nAnswer: -11096*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*u = -762 - 863. Solve 4*k + u = 9*k, 3*o + 3*k - 3 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1075367000 rounded to the nearest one million?\nAnswer: 1075000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 2*sqrt(208))**2 + (sqrt(208) - (3 + (-2*sqrt(208) - sqrt(208) - sqrt(208) - sqrt(208)))) - (5*sqrt(208)*-1 + sqrt(208) + 2*(0 + sqrt(208)))**2.\nAnswer: -3 + 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssiswwiw. What is prob of picking 1 w and 1 i?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -107 - -158. Let w = 51.0000316 - v. What is w rounded to five decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.121 + -12.279. Let r = -13 - o. Which is the biggest value? (a) r (b) -0.5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1638720 divided by -51210\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - u**4 - 3)*(-32*u + 562 - 18*u - 562).\nAnswer: 50*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/17 (b) 4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 115, -135, -559, -1163, -1953, -2935, -4115, -5499?\nAnswer: -7093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -21907*p**2*s + 80789128*p**2 - 1075*s wrt s?\nAnswer: -21907*p**2 - 1075","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*w + 1 - 1)*(3*w + 0*w + 2*w)*(-w**2 - 2*w**2 - w**2) in the form i*w**4 + x + t*w**2 + o*w**3 + j*w and give i.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of 7*g**3\/3 - g**2 + 2704*g. Determine y(5).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 5478, 5479, 5480, 5481, 5482, 5483?\n\"Answer: y + 5477","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 + 5*y - 22. Suppose 5*q + 23 + 20 = -j, 5*j - 10 = 0. Let s be n(q). Find the second derivative of -21*p**5 - 36 + 36 - s*p wrt p.\nAnswer: -420*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -37 - -13. Let a = 58 + n. Suppose -3*m - 29 = -3*s + 46, a = s - 4*m. Calculate the greatest common factor of 55 and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1771 + -1738. Solve -5*d + 41 = 8*v - 12*v, 5*d = 2*v + a for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 113 divide 10125028?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*k**4 + 8*k**3 - 5*k + 1897.\nAnswer: 16*k**3 + 24*k**2 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*s + 29*s + 133*s - 3844460 = 0. List the prime factors of s.\nAnswer: 2, 5, 19, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 + 12.19. Let j = 0.1 + b. Let y = 0.2851 - j. Round y to three dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, z: 3, l: 7, n: 1, s: 4, k: 2}. Give prob of sequence ms.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3001)\/(-4) - 1\/4. Suppose 1735 = -70*y + 65*y. Let f = y + j. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 35 - -458. Suppose 331 - t = -9*r. Calculate the highest common factor of 6 and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 26*c + 14. Calculate j(-5).\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-154191)\/(-1751) + 2\/(-34). What is the greatest common divisor of b and 72?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 24886?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 0.0396, 2, -3, -0.06 in increasing order.\nAnswer: -3, -0.3, -0.06, 0.0396, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*j = -21*j - 21. Suppose -9 = -s - q, 5*s + 3*q - j = 32. Solve 3*w = 3*h - 6, 3 = s*h + 2*w + 7 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-15162)\/(-49) - (-16)\/28?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 4*p - 330. Let a = 2282 + -2272. Let g be (-4)\/a + 33\/p. Are g and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4073*m - 4133*m = -1500. Let g be (-2)\/5 + (-2127)\/(-5). What is the greatest common divisor of g and m?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 154274.\nAnswer: 2, 77137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 8 = -3*n. Let w = -8 - -13. Calculate the least common multiple of n and w.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 70 - 70.045. Let z = f + -0.003. Let m = -0.152 + z. What is the nearest to m in 2, 1\/4, 5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*g**5 - 1225*g**4 - 12130*g**3 - 16835*g**2 - 6830*g - 840 = 0. Calculate g.\nAnswer: -6, -1, -1\/3, -1\/4, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - 0.1563?\nAnswer: 2.8437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98613 is divided by 84?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 241 divide 17781?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1915.877 + -1917. Let y = -1888817 + 1888815.877607. Let f = o - y. What is f rounded to 4 dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/4*(-66)\/297\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand j**2 + 15781 - 4*j - 15781 + (3*j - 2*j**2 - 3*j)*(5 - 37 + 6).\nAnswer: 53*j**2 - 4*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = p - 1, -1 = -p - 277*c + 279*c. Is 4\/4505 smaller than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 AM and 6:00 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -25488\/1031 at most 0.07?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-3*((sqrt(153) - (1 + sqrt(153)*-2 + sqrt(153) - sqrt(153))) + (sqrt(153) + 0)*-2))**2.\nAnswer: -486*sqrt(17) + 12474","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1730101 and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + -13. Let d(i) = -i**3 - 9*i**2 + 9*i - 13. Let s be d(h). Let l be 6\/s*18\/(-12). Solve a = l*a - 4 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.648748 rounded to 2 decimal places?\nAnswer: -12.65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5358)\/(-7182) + 12\/(-14).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 not equal to 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 24 - 22. Let r = -4290 + 4293. What is the third smallest value in r, l, -2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and -102764.\nAnswer: -20552.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are 127 and -4\/9 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 + 10*d**2 + 4*d - 3. What are the prime factors of j(10)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(19) + 1 + (sqrt(19) - sqrt(114)\/(sqrt(48)\/sqrt(8)))**2.\nAnswer: -4*sqrt(19) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -3 + ((sqrt(308)\/(sqrt(14)\/sqrt(2)))\/sqrt(4)*2 - (sqrt(77)\/(-6*-2*sqrt(7)) + 5)).\nAnswer: -5 + 23*sqrt(11)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 211\/(-4) - 11\/44. Let k = b - -51. Let i(f) = -f**3 + f**2 - 4. Let y be i(0). What is the third smallest value in -1, k, y?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4 - (-4 - -12)) + 6. Let s(x) be the first derivative of x**3\/3 + x**2\/2 - x + 1. What are the prime factors of s(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1156*n**3 - 4225917 + 84*n**3 - 1279*n**3 + 4225917.\nAnswer: -2351*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 42816 and 432?\nAnswer: 385344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(1\/5)*858\/8580.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -224?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.021059 and -27.\nAnswer: 0.568593","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -4\/199 (b) -5 (c) -16373\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do 54273\/110 and 492 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -177*u - 433*u + 170*u - 437*u to the form y*u + z and give y.\nAnswer: -877","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 - (-1 - -2))*0. Let o = v + 3. Let x = -1817\/65 - -139\/5. What is the third biggest value in o, x, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 708, 723, 726, 711, 672?\nAnswer: 603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -6*c - 405. Let o be g(-68). Solve 5*w + o*n = -2*n, -18 = 2*w - 4*n for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 60\/133 and 11\/12031674.\nAnswer: 84221718","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -28*r**5 + 8*r**4 + 23*r**2 - 4*r + 5. Let i(b) = 2*b**4 - b + 1. Let v(t) = -4*i(t) + k(t). Find the third derivative of v(p) wrt p.\nAnswer: -1680*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 4*w + 64. Let k be b(32). Suppose 18*c - 20*c = 6, -k = -4*h + 4*c. Let u be 3 - 2 - -2*7. What is the highest common factor of h and u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.3, -2, 0.5, -2\/25?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 36 = -f - o, 20 = -4*o. Let y = f + 11. Let s = -4 - y. What is the smallest common multiple of s and 9?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 0*a + 29997 = 0. Let f = 179861\/18 - a. What is the common denominator of -119\/6 and f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 94 and 432825209.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1\/113 + 223\/339. Let j = 4.25 + -3.3. Let w = -0.05 - j. Which is the second smallest value? (a) f (b) w (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16 + 16.34. Let w = 1970.81 - 1970.7. Let f = w - x. Round f to 0 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -32 + 32. Solve 3*s - 7*s - 20 = i for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21001120 (base 4) in base 14?\nAnswer: -d676","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1245?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4397 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: Calculate the remainder when 284754 is divided by 56914.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, h: 1, d: 2, t: 4, p: 1}. What is prob of picking 1 h, 1 p, 1 t, and 1 d?\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 5*x = -m + 62, -4*x - 60 = -4*m. Suppose 5*y = 57 + m. Calculate the highest common factor of y and 98.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 10*l**2 + 29*l - 53. Let g be f(2). What is the greatest common divisor of 15 and g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 987173?\nAnswer: 11, 17, 5279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 332 divide 8226296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 2)*(4*j - 2*j - j) + 2*j + 2*j - 6*j + (12 - 16 - 113*j + 169*j)*(7 + 1 + 5).\nAnswer: 727*j - 52","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - -166c?\nAnswer: 1671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 2436*u + 1 - 2.\nAnswer: -2436*u + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25 - 21. Let y(r) = -r**3 + 4*r**2 + r - 2. Let t be y(3). Solve -x = b*x + t for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.5 + 0.4. Suppose 118 = 13*t + 105. Which is the third biggest value? (a) u (b) t (c) -0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 657 - 5211\/8. Let d = -19910287\/1386 + 100554\/7. Let z = 11\/18 + d. Find the common denominator of z and m.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7569766?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u = -10*u - 76. Let x = u + 40. Find the third derivative of 20*n**2 - 3*n**4 + n**2 - 8*n**x wrt n.\nAnswer: -72*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132*p = -17*n + 133*p + 54, -2*p - 12 = -2*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 27 and 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1822756 and 2734134?\nAnswer: 5468268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*q**3 - 220 + 11 + 3*q**3 - 8*q**3.\nAnswer: 2*q**3 - 209","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55266 is divided by 5023?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 35 + -4. Solve 3*z = 2*g + 3*g - q, -2*z = g - 1 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -15*i**3 - 23*i**2 + i - 15. Let y(c) = -4*c**3 - c**2. What is -p(h) + 4*y(h)?\nAnswer: -h**3 + 19*h**2 - h + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -97d (base 15) in base 5?\nAnswer: -32033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*o - o + 0*o)*(-12603*o**2 + 12602*o**2 - 30*o - 19*o) in the form x*o**2 + l*o**3 + f + n*o and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2)*(-3*z**3 + 8*z**3 + 5*z**3) + 33*z**3 + 3*z**3 - 17*z**3.\nAnswer: 39*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h = 2*p + 44, -582*h = -570*h + 4*p + 112 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + d - 173 = -172, y - 3*d = 1. What is the closest to 1 in y, 33, -2.8?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert bc2 (base 13) to base 9.\nAnswer: 2681","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mfd when three letters picked without replacement from {f: 6, m: 1, s: 3, u: 3, d: 1}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 39, 42, 45, 48?\n\"Answer: 3*g + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 + 8*w + 13. Let t be y(11). Let k be ((-3)\/(-6))\/(5\/t). Let f be (-45)\/35 + k\/(-7). Sort f, 1, -9 in increasing order.\nAnswer: -9, f, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11152 and 6970?\nAnswer: 55760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 17*t**2 - 3049*t + 7087. Determine x(177).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*s - 7 = 32. Let h be ((-1)\/s)\/(5\/(210\/(-7))). Factor 1\/6*i + 1\/3 - 1\/6*i**h.\nAnswer: -(i - 2)*(i + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 165207879?\nAnswer: 3, 773, 23747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 - 2 - 4)*(2*c - 5*c + 2*c) - 4*c - 3*c + 0*c to the form r*c + w and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5413187, -5413070, -5412953, -5412836, -5412719?\nAnswer: -5412602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the third derivative of -k**4\/6 + k**3\/2 + k**2. Let s = 61 - 58. Calculate u(s).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.05? (a) 1139\/26 (b) -0.9 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 + 22*m**2 - 68*m - 1040. Calculate b(-23).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 28\/(-3)*3\/(-2). Suppose 0 = 2*k - 4, -v + k + 33 = -6*v. Let t = y + v. Calculate the greatest common factor of 56 and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.13889 - -1518923.8?\nAnswer: 1518915.66111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -3*d**2 + 2*d - 2. Suppose 2*g - 7 + 3 = 0. Let z(k) = -21*k**2 + 15*k - 15. Let o(p) = g*z(p) - 15*s(p). Let b(m) = -2*m. Calculate o(b(j)).\nAnswer: 12*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2566232?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15 - -18. Suppose -y = -3*l + 4*l. Let o(a) = -6*a**3 + 2*a**2 + 2. Let s(v) = -7*v**3 + 3*v**2 + 3. Give l*o(p) + 2*s(p).\nAnswer: 4*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 34 + -376\/11. Put 1\/7, 4, u, 0.5 in increasing order.\nAnswer: u, 1\/7, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.49 and -945.8483896.\nAnswer: -946.3383896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 + 17*q**2 - 20*q - 29. What are the prime factors of u(15)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -721 + 747. What is the remainder when 151 is divided by f?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 2*m**3 + 11*m**2 - 240*m - 1220. What is r(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -2*s**4\/7 - 240*s**3\/7 + 244*s**2\/7 + 240*s\/7 - 242\/7 = 0?\nAnswer: -121, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x + 2. Let l be a(1). Suppose 4*n + 16 = -g, -g - 4 = 2*g + n. Let j be 5 + g - (l - 0). Solve -s = j*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80523.75l in millilitres?\nAnswer: 80523750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -140323 (base 6) to base 10\nAnswer: -13083","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 67 + -308 + 330 + (-3 - 0) + -8 + -10.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**0)**48*(m\/(m\/(m*m*m**(-1\/3)\/m))*m)\/m**(-1\/7)*m**5\/m**(3\/5)*(m**(2\/3))**(-8) assuming m is positive.\nAnswer: m**(92\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 40781 to the power of 1\/2, to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -63.55435 rounded to zero dps?\nAnswer: -64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/12536 and -97\/5192.\nAnswer: 8135864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the third derivative of -f**2 - 1\/60*f**5 + 0*f + 5\/12*f**4 + 0 - 5\/6*f**3. Calculate the remainder when y(7) is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/668648 and -45\/16?\nAnswer: 1337296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b**(1\/3)\/b))**(2\/19) assuming b is positive.\nAnswer: b**(10\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 228, 458, 688, 918, 1148?\n\"Answer: 230*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5995?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + n + n + 4)*(-2*n**3 - 1 + 1).\nAnswer: -4*n**4 - 14*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from huqqwuwhuhhtt. Give prob of picking 2 u.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 4 - (-2 + -2 + 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qihiiiiiqigihiiv. What is prob of sequence vqqh?\nAnswer: 1\/10920","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 786*x + 136*x + 1190*x = -103488 for x.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((1*sqrt(1088))**2 - sqrt(1088))*6.\nAnswer: -192*sqrt(17) + 26112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-1\/4)\/o**(-2\/7) assuming o is positive.\nAnswer: o**(1\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -57a76 (base 11) to base 3\nAnswer: -11020222021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1567876 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 203 is divided by 56?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 4\/3, -9, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0, -36, 1, -0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of d**4\/4 - 16*d**3\/3 - 10*d**2 - 7697. What is y(17)?\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (27\/((-4050)\/(-120)))\/(48\/(-12))\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11041, 11063, 11123, 11239, 11429, 11711, 12103, 12623?\nAnswer: 13289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 399055967?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of -p**3\/6 - p**2 - p. Give t(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2 - 50*y - 1548.\nAnswer: 2*(y - 43)*(y + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*o**4 - 4*o**4 + 2*o**4 + (2*o**3 + 2*o**2 - 2*o**2)*(0 + 0 + 2*o) - 4*o**2 + 2*o**4 - 3*o**4 + 3*o**2.\nAnswer: 7*o**4 - o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -16\/3 and 133\/2118.\nAnswer: 2118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 2 + 12*b**3 - 47*b**3 + 3.\nAnswer: -35*b**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -65 + 124. Let m = y - 58.99999869. Round m to seven dps.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -130 + 165. Find the second derivative of 173*q**2 - q - 2 - 180*q**2 - u - q wrt q.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3423, 27217, 91691, 217155, 423919?\n\"Answer: 3385*g**3 + 30*g**2 + 9*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3237372791 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 28 - 35. Let y be ((-2)\/(2 - -12))\/(d\/14). Let x = 22 - 20. Which is the nearest to -1? (a) 5 (b) y (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51844926.\nAnswer: 2, 3, 7, 379, 3257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*h = 309 - 387 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hl when two letters picked without replacement from {l: 11, h: 2}?\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 9.069207 centuries?\nAnswer: 906.9207","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 181*z = 130*z + 204. What is h in 4\/5*h**z - 16\/5*h**2 + 0 + 0*h - 2\/5*h**5 + 8\/5*h**3 = 0?\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12456 - -12458. Sort 27, q, -31, 4, -4 in descending order.\nAnswer: 27, 4, q, -4, -31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q. Let y(m) = 8*m - 4*m - 4*m - 244*m**2. Determine y(j(v)).\nAnswer: -244*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6344\/(-56) + (5 - 99\/21). Which is the third smallest value? (a) 0 (b) -0.05 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-6)*45\/(-6). Suppose 4*i + 101 = -b*g, i - 43 = -4*g + 6*g. Let y = g - -31. What is the highest common divisor of 60 and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 6 + 1)*(1 - 3 + 0)*((2 - 2 + 1)*(2*c + 0*c + 0*c) + (3*c - 3*c - c)*(-1 - 8 - 5) - c + c - c).\nAnswer: 180*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from npfppknvknpnnknknkp. Give prob of picking 2 n and 1 v.\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 46*w + 1099. Let k be g(-24). Let t = -2.3 - -0.3. Which is the third smallest value? (a) t (b) 6 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 86515048?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.5 - 0.3. Let z(l) = 14*l**2 - 2857*l - 2667. Let k be z(205). Let r = -4 + -4. Which is the nearest to n? (a) k (b) 4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 12) to base 9\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g - 1. Let l(y) = 3*y + 5. Let b(t) = 5*k(t) + l(t). Let o(c) = 13*c - 4. Let x(d) = 324*d - 99. Let i(n) = -99*o(n) + 4*x(n). What is b(i(m))?\nAnswer: -18*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6789420, -6789442, -6789484, -6789552, -6789652?\nAnswer: -6789790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 808423253?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12011020212 - -2?\nAnswer: 12011020221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -2383*v + 359819. Give q(151).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a milligram in micrograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -39424 by -3584.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, 643, -0.5, -2, 0.31, -2\/7.\nAnswer: -2, -0.5, -2\/7, 0.31, 2\/5, 643","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-56)\/(((-59520)\/1560)\/62)?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1953728470?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 433017 is divided by 69.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*c**2 + 14702*c**3 + 8466*c**3 - 23165*c**3 + 3*c**2.\nAnswer: 3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + 3*g - 793, 0 = -3*l - 5*g + 135 + 1054. Let z = l - 395. Solve 0 = -z*n + 7*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q**2\/6 - 2054020*q\/3 - 2109499080200\/3 = 0. Calculate q.\nAnswer: -2054020","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 766, 3035, 6808, 12079, 18842?\n\"Answer: -f**3 + 758*f**2 + 2*f + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5053555 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: What is -1.62 - 0.173?\nAnswer: -1.793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 416 and 520?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.638 plus 15?\nAnswer: 14.362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -641\/4 - -161. Let y = 24 - 27. Sort y, 3\/5, x.\nAnswer: y, 3\/5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -19 and -109\/6 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (7 + 5920\/(-24))*-51 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b + 0*b = 1242. Is b a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = n - 624, 4*v - 3886 + 1374 = -4*n. Calculate the greatest common divisor of n and 74.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9451, 9504, 9557, 9610, 9663?\nAnswer: 9716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 120012112 + 11021212?\nAnswer: 201111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 317, 320, 323, 326?\nAnswer: 329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - x - 16 = -0*x, -5*x - 4 = -a. Solve y - 2 = -0*y, f = -y + a for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1626 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 + 11. Let v be 78\/27 + 2 + -5. Which is the third biggest value? (a) v (b) h (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of -l**3\/6 - l**2 + 3*l. Let k be i(-5). Suppose 3*j + 2*j = 0. Which is the third smallest value? (a) j (b) -0.4 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 3*d**3 - 7*d**2 + d + 71. What is m(5)?\nAnswer: 276","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k**3 - 2*k**3 - k**3 + 2*k**3 + k**3 - 2*k**3 + (k**2 + 4*k**2 - 4*k**2)*(-2*k + 2*k - 2*k).\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/6 - 0) + 3445\/795. Solve c + 15 = p*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 6.3, -25, -5, -1?\nAnswer: 6.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 - (-340)\/45 - 2 - -1. Let h = k + -80\/9. Let j be (2 - 9\/3)\/(-6). Which is the closest to 1? (a) h (b) -4\/3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a decade in months?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -3*p**2 - 7*p + 11. Let u = -11 + 17. Let b(r) = u - 5*r - 4*r**2 + 5*r**2 - 3*r**2 + r. Calculate 7*b(m) - 4*c(m).\nAnswer: -2*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**2 - 2*b - 1. Let i(s) = 5*s**2 + 8*s + 3. Calculate 2*i(f) + 9*q(f).\nAnswer: f**2 - 2*f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a second in milliseconds?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 3012?\nAnswer: 3012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8526 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a kilometer in meters?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2*u + 3. Calculate h(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13514.\nAnswer: 2, 29, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/13, -1, -2.2, 1, -4?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.004847 from -32.\nAnswer: -32.004847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 391 = -2*m, 5*s - 111 = -2*m + 1812. Suppose r - s + 65 = 0. Let d(g) = 320*g + 1 + 4 - r*g - 1. Calculate d(4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the third derivative of -r**6\/30 + 7*r**5\/60 + 7*r**4\/24 + 7*r**3\/6 - 6*r**2 + 1. Let p(k) = 3*k**3 - 5*k**2 - 5*k - 5. Determine 7*p(o) + 5*t(o).\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 3*h**3 + 2 + (3 - 4*h - 3)*(2*h**2 - h**2 - 3*h**2 + (-2*h + 3*h + 0*h)*(1 - 2*h - 1) - 5*h**2 + h**2 + h**2).\nAnswer: 31*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*d**2 + 136 + 3*d**2 + d - 4*d**2.\nAnswer: 2*d**2 + d + 136","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-38478)\/(-212)*(-236)\/(-6)?\nAnswer: 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/(-9))\/(-2)*4\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11966, -11924, -11880, -11834?\nAnswer: -11786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4618609 by 6.\nAnswer: -4618609\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (3\/((-36)\/(-8)))\/(40\/420)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60 = 5*j - 76102*m + 76097*m, -8*j + 9*m = -10*j - 31 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 7*c**2 - 95*c + 5. Let p(g) = -4*g**2 + 57*g - 3. Let z(b) = -3*d(b) - 5*p(b). Let w(x) = 804*x. Determine z(w(a)).\nAnswer: -646416*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23 is divided by 15\/2*6\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(2\/7))**(1\/57))**50 assuming d is positive.\nAnswer: d**(100\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + 2823066?\nAnswer: 2823069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 74369085?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 49, 1222, 4431, 10594, 20629?\nAnswer: 35454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*n**3 + n**2 + 540*n - 5191?\nAnswer: -12*n**2 + 2*n + 540","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 11 = -131. Suppose -5*i = -21 - g. Suppose -5*h - 90 = -5*o, -2*h = -5*h - i. List the prime factors of o.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**8\/(u**(-8)*u*u)*u**5*u*u**(6\/7)\/u)\/(((u*u**4)\/u)\/(u\/u**(-9)*u)*(u**(-2))**38) assuming u is positive.\nAnswer: u**(720\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*(d*d**3\/d)\/d*d*d)\/(d**(-2\/17)\/d))\/(d**(-2\/13)*d*((((d**2\/d)\/d)\/d)\/d*d)\/d) assuming d is positive.\nAnswer: d**(1607\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 29918401 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22359.8 - -22360. Which is the third biggest value? (a) 9\/5 (b) 0 (c) h (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -93 and 0.23543947.\nAnswer: -92.76456053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b + 3. Let z(q) = q**2 + 10*q + 12. Let w be z(-9). Let s(v) = -v + 5. Let x(f) = w*s(f) - 5*a(f). Let h(l) = 2*l. Give x(h(d)).\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of -1\/30*o**6 - 2\/15*o**3 + 2\/25*o**5 + 0*o - 21 + 0*o**4 + 1\/10*o**2. Solve j(k) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 3*l = 0. Suppose 0 = t - l*t - 1. Let n = -60 - -60.2. What is the closest to t in -2\/15, n, -3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + -3 + sqrt(684)*-3 + 2)*-5)**2.\nAnswer: -3600*sqrt(19) + 154300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.065 less than -0.0263?\nAnswer: 0.0387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that n**5 - 19*n**4 + 57*n**3 + 295*n**2 + 338*n + 120 = 0.\nAnswer: -1, 10, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 157315?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 360 and 1800.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of 20 + 5\/2*h**2 - 48*h. Let f be p(13). Sort 1, 2, f in decreasing order.\nAnswer: f, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-88722)\/(-4293)*10\/4*3\/(-5).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 983217 is divided by 983122?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**3 + 392511*h**2 - 12839329173*h + 38514455001.\nAnswer: -3*(h - 65417)**2*(h - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3579 + -3348.1. Round o to the nearest 10.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -41456*s - 13. Is j(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20) - 4*-1*sqrt(20) - sqrt(720)*3)\/((sqrt(90)\/sqrt(3)*-3 + sqrt(30))\/(sqrt(243)*-1)).\nAnswer: -117*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 473 + -453. Calculate the lowest common multiple of 28 and d.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of -3*d - 19 + 3\/2*d**2. Let t(x) = x**2 + 5*x + 3. Let b be t(-5). Determine i(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-15)\/6*-1*2. Let u(a) = a - 1. Let y(j) = -12*j + 12. Let s be 3*(((-16)\/(-12))\/(-4))\/1. Let t(p) = s*y(p) - 15*u(p). Determine t(f).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 37 or -5?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -18 in 1\/4, 1, 3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 431474 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of -21*s**5\/20 - 13*s**3\/6 + 20*s + 18. Let o(d) be the first derivative of a(d). Find the second derivative of o(z) wrt z.\nAnswer: -126*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18742995?\nAnswer: 3, 5, 46279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-13)*k)\/(k**(-3\/7)*k*k)*k\/(k*k**4)*k*k*k*k*k**(-7)*k*k)**(-3\/5) assuming k is positive.\nAnswer: k**(78\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 54630793 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 45464 (base 8) in base 12?\nAnswer: b184","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3224?\nAnswer: 2, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oa when two letters picked without replacement from aaododyddo.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41333761.\nAnswer: 7, 2333, 2531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 5*r + 12. Let n(s) = 13*s + 39. Let a(v) = 13*h(v) - 4*n(v). Let b(x) = 11*x. What is a(b(o))?\nAnswer: 143*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10686.\nAnswer: 2, 3, 13, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -11282, -40437, -69592?\n\"Answer: -29155*g + 17873","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 + 2*t**2 + 1. Let f(o) = -o**2 - 1. Suppose 4*p - 2 = 2*p. Determine p*f(w) + z(w).\nAnswer: -w**3 + w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 12\/7 of a week?\nAnswer: 288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -113*t + 2. Let z be u(-1). Let h(s) = 101*s - 6 + 6 - z*s. What is h(2)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -2*y**3 + y**2 + 2*y + 3. Let v(h) = 3*h**3 + 5*h**2 + 385*h + 15. Give 5*o(l) - v(l).\nAnswer: -13*l**3 - 375*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -146000527\/570 - -768425\/3. Let f = -1\/114 - r. Let t = 0.1 - -2.9. Which is the biggest value? (a) -1 (b) t (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0215947 take away -39.2824?\nAnswer: 39.2608053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, -0.23, -1.2?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-6 - (3 - 8) - 3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -668 - -667.7. Let b be ((-5)\/(-15))\/(2\/(-18)). Let m(x) = x - 5. Let v be m(7). What is the smallest value in v, 5, b, w?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-5 + sqrt(252))**2*-3 + 0 + (sqrt(448)*3*1 + 1)**2.\nAnswer: 228*sqrt(7) + 3202","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -440 = 196*j - 141*j for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86362483.\nAnswer: 71, 1216373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/5 + (-18)\/30. Let r be (-6)\/(-18)*(-6)\/c. Suppose -4*d - 2*o + 189 + 5 = 0, 0 = r*d + 2*o - 102. What are the prime factors of d?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4667867 and 0.239035608?\nAnswer: 4667867.239035608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5324 (base 11) in base 13?\nAnswer: 328b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.2042224 minutes to hours.\nAnswer: 0.03673704","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 87 and 17545?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-14)*q*q**(1\/25) assuming q is positive.\nAnswer: q**(-324\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 4*x - x - 654003, 5*f - 3*x = 1634997. What is f rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 78143, 77883, 77623, 77363, 77103?\nAnswer: 76843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.438 to 1 dp.\nAnswer: -4.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38143870 divided by 10.\nAnswer: 3814387","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002542 to four dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -17\/11826 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/q**(-13))\/q*q**(1\/11))\/(q\/q**(4\/3))**4)**(-23) assuming q is positive.\nAnswer: q**(-10948\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 8 = -9*r + 13*r, -2*r + 6 = -3*t. Sort r, 3, -4, -14.\nAnswer: -14, -4, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 448164?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 + 5*l**2 - 5*l + 2. Let o be f(-5). Suppose -19 + o = -4*b. Is (-3 - b)*3505\/(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 2*x = 15, 0 = 4*g + 5*x - 133. Let v = -51 + g. Which is smaller: -12 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 6.8, -5\/6, -0.4, 40?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 - 2994728.\nAnswer: -2994727.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 17 = 7. Solve -2*l + 5*j = -13, 3*j + 0*j = -m*l + 5 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200) - sqrt(200)*3 - sqrt(200))\/(6*(sqrt(4) + sqrt(196))).\nAnswer: -5*sqrt(2)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5758 + -1949. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -214099.1 to the nearest 100.\nAnswer: -214100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 221125 (base 6) in base 14?\nAnswer: 69d3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*z + 3248 = 453 for z.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vyp when three letters picked without replacement from mpvjyyv.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18031 and 292?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 33356?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2.2 (b) -1\/8 (c) 2\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.749 - -14.749. Sort -17, -1, c.\nAnswer: -17, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the third derivative of 0*l**3 + 0*l - 1\/24*l**4 + l**2 + 0. Let i(v) = 9*v**2. Let r(c) = 14*c**2. Let s(y) = 8*i(y) - 5*r(y). What is s(w(f))?\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1404322, -1404502, -1404682?\n\"Answer: -180*o - 1404142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + (-110)\/6*8085\/(-4235).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 576068689?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/1260251 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -18 less than -18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 120 is divided by 93.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-4) + (-378)\/12. Let c = 31 + o. Suppose c*m - 232 = -2*m + 2*a, -5*m + 564 = 3*a. Is m a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -104157*t**3*x**2 + 13*t**3 + 2*t**2*x + 2*t - 10*x**2 + x - 4379 wrt t.\nAnswer: -624942*x**2 + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01801594 rounded to 4 decimal places?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 100? (a) 0.2 (b) 2 (c) 35 (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13281332?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i**2\/3 - 25320*i + 531769\/3 = 0.\nAnswer: -75967, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1448052967 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 8*o**2 - 105*o + 376. Determine f(4).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -52) + (-21756 - -21694)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 46191 divided by 4400?\nAnswer: 46191\/4400","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25211, 25209, 25207, 25205?\nAnswer: 25203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-4\/3)*s**(1\/6)*s)\/(((s**(-3\/5)\/s)\/s)\/(s**1*s))*((s*s**(-1\/2))\/s)**(-1\/5)*(s**(-1))**17 assuming s is positive.\nAnswer: s**(-187\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five eighths of a second in milliseconds?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97400 + 12200 = 4*v. What is v rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 3058*x + 1991*x + 2747*x - 1633*x + 0.\nAnswer: 6163*x - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -d - 3*c + 5 - 11, 4*d - 15 = c for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 2*d = -5*m + 26, 0 = 5*m + 2*d - 59. Let g(n) = -n**3 - n**2 + n + 43. What is the remainder when g(0) is divided by m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -3*o**2 + 5*o - 27. Give z(0).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -279 = -57*c + 287 - 185 + 132 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -4*h - 7. Let s(l) = -4*l - 7. Let z(f) = -2*i(f) + 3*s(f). Let b(k) = -k - 2. Let m = 22 - 18. Suppose 2*v + 0 = -m. Determine v*z(u) + 7*b(u).\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -967, -4, 4, 2, 1, -2 in decreasing order.\nAnswer: 4, 2, 1, -2, -4, -967","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8671*k = -7844*k + 52928 for k.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 450\/7913?\nAnswer: 450\/7913","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -34*c + 1421. What is the remainder when u(38) is divided by 44?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 13*p + 7 = 0. Let n(s) = -s**2 + 8*s + 13. Let d(r) = 1. Let l(j) = p*n(j) + 3*d(j). Give l(7).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = 4*r - 11, -5*r + 88 = 3*a + 75 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -2*i**2 - 86*i - 676. Determine g(-34).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -2*f. Let z(k) = -2*k + 4. Let m(h) = -393*h + 8. Let s(p) = -m(p) + 2*z(p). Determine s(a(q)).\nAnswer: -778*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 + 9*x**2 + 9*x + 10. Let g be h(-8). Suppose 3*w - 425 = -4*p + 1647, g*p - 5*w = 1010. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -82 by 8272.\nAnswer: -41\/4136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 882 and 64760409.\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3654 and 14616?\nAnswer: 14616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 414792 or 414796?\nAnswer: 414792","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38315*c**3 - 35508*c**3 - 10472*c**3.\nAnswer: -84295*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 38159.6367 rounded to the nearest 1000?\nAnswer: 38000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bhui when four letters picked without replacement from siiuisucbhssuu?\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the third derivative of q**4\/24 - q**3\/6 + 3*q**2. Let p be b(4). Solve -12 = p*d + 3 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2875 + -1001. Is q a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 697 + -518. Let a = c + -150. Does 29 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 10.7 (b) 3\/8 (c) 0.4 (d) -6 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -2*r + 11, 3*r - 5*r + 95 = 5*i. Let z = i + -14. Let w = -13 + 16. Solve z = -w*m + 1 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 201, 413, 639, 879, 1133?\n\"Answer: 7*f**2 + 191*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-6)*(-8 + 2). Let d be (j + 0)\/((-2)\/(-4)). Is (-4 + 2)*538\/d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8)\/(-4) - (2 - 3). Suppose -5 - f = 4*z. What is the remainder when 43 is divided by 23 - (z + (-4)\/(-2))?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 39.516 to 1 decimal place.\nAnswer: 39.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -949*f + 10. What is the hundreds digit of z(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 594 = 3*s, -4*s + 827 = -8*s + 3*w. Let m = -151 - s. Does 16 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/(-6))\/(-27 + (-131703)\/(-4884)) - (-2 - -10).\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*u - 21*u - 348 = 0. Let a = 141 - u. Is a a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9399*t + 38790 = -22772 - 4231 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 4\/9 (b) 11 (c) 13 (d) -6\/7 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48793.\nAnswer: 59, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43 is divided by 510\/22 - (-10)\/(-55)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-36)\/21)\/((-57)\/(-266)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1053 less than or equal to 175374?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.39 - -1.196. Let h = p - 0.106. Let n = 2 - 2.2. Put h, 0.3, n, -5 in decreasing order.\nAnswer: 0.3, n, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 151299539 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1378 + 1378 = -16*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 121368*k - 57*k**2 - 121343*k - k**2.\nAnswer: -58*k**2 + 25*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7928 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, f: 3, t: 2, s: 4}. Give prob of picking 4 s.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, -2.132, -0.5, -0.4?\nAnswer: -2.132","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5734706*a**4 + 2*a**2 - 323*a - 3869.\nAnswer: -137632944*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 43*j**2*x - 4*j**2 + j*x**3 - 4325*j*x + 1723511*x**3 wrt j.\nAnswer: 86*j*x - 8*j + x**3 - 4325*x","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(-9) - 82\/(-6). Let d = -7 + r. Suppose -u - 2*u = -d. What is the greatest common factor of u and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2590 and 280.\nAnswer: 10360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n - n + 0*n)*(-3*n**2 + 15*n**2 + 10*n**2) - n**2 + 2*n**3 + n**2 + (1 - 2*n - 1)*(-3*n + 3*n - n**2).\nAnswer: -62*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/3)\/((-12)\/(-18)). Let f = 3 - v. Suppose -f*p + 2*h = -58, -5*p + 53 = -0*p + 4*h. What are the prime factors of p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of -2*i**5\/15 - i**3\/6 - 13*i**2. What is c(-1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6797 divide 184456986?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6296829119 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*h - 12*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -5*k + 4*k. Let y(w) = -11*w + 9. Let b(m) = 5*m - 4. Let s be (2\/1)\/2*9. Give k*y(g) + s*b(g).\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 71.987 - 72. Let q = 0.047 - h. Sort 1\/5, q, -3\/4 in increasing order.\nAnswer: -3\/4, q, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 326717444?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 1 - 1)*(-2*c + 0*c + 4*c)*(-3*c**3 - 3*c**3 + 3*c**3) to the form j*c + w*c**3 + q*c**2 + m + u*c**4 and give u.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 7, q: 4, b: 6}. What is prob of sequence bqb?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1198?\nAnswer: 2, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3016 - 3007. Solve -21 = -3*g - i for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -45.9015 + -0.0985. Let r = f - -48. Which is the second smallest value? (a) 1\/9 (b) r (c) 59\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 9*10*2\/12. Let y(m) = -m**3 - 6*m**2 + 22*m + 60. Let r be y(-8). Suppose 0 = 4*g - 5*n, 10*g = r*g - 2*n. Solve g*x + u = 3*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = 7*t - 6*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1485)\/15 + -6 + 3 + 4. Is -103 bigger than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 7*b - 25. Let h(m) = -8*m + 24. Let r(j) = -2*h(j) - 3*l(j). What is the common denominator of 4\/9 and r(7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 511, 1021, 1529, 2035, 2539, 3041, 3541?\nAnswer: 4039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, u: 8, o: 6, d: 2, b: 1, p: 1}. What is prob of sequence du?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -5*z. Let f(o) = -18*o. Let n(p) = 3*f(p) - 11*h(p). Let q(r) = 943*r**2. Determine n(q(k)).\nAnswer: 943*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f + 3 - 3)*(0*f + 2*f + 0*f)*(-1 + 2 + 0).\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 1:49 AM?\nAnswer: 9:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -4*q**2 - 3*q + 45. Let i be t(3). Is 2\/80789 less than or equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 - 13*y - 110. Give m(6).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 68 (b) -3\/5 (c) -1\/3 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the third derivative of 31*n**8\/336 - 8*n**7\/105 + 83*n**4\/24 + 2*n**3\/3 - 1865*n**2 + 1. What is the second derivative of q(s) wrt s?\nAnswer: 620*s**3 - 192*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**3*(y*(y*y\/(y*y**11\/y)*y)\/y)\/y)\/(y**(-1\/16)*y*y**(1\/12)))**(4\/19))**(-3\/5) assuming y is positive.\nAnswer: y**(337\/380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -5*y + 7. Let w(u) be the first derivative of -3*u**5 + 2*u**y - 50 - u**2 + 57 + u**2. What is the third derivative of w(d) wrt d?\nAnswer: -360*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123 = 4*p + 3*w - 184, w - 224 = -3*p. Solve 0 = 64*t - p*t + 45 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0058855 to 3 decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000738 rounded to six dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13426 (base 16) to base 13.\nAnswer: -29ba2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/77 and 71\/22.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 - 60*h**2 + 181*h + 16. Calculate b(3).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 - x**2 + 1. Let w = 0 - 1. Let y(d) = -d**2 + 5*d + 12. Let m be y(-2). Let b(t) = -4*t**3 + 2*t**2 - t - 2. Calculate m*f(o) + w*b(o).\nAnswer: 2*o**3 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 PM and 5:02 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -320393 (base 12) in base 3?\nAnswer: -1111001122010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12\/(-6) - -3 - -3556 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3087\/98*28\/63?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3797445 rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*l - 18*l + 8 = 3*q - 19*l, -l = 3*q - 4 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xixrxtg. Give prob of picking 1 g, 1 t, and 1 i.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.6 (b) 0.1 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2 + 3. Let k = 3 - 0. Let s be f(k). Let i = s - 4. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*w - 6*w + 60. Let m = 55 - w. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1410 - 1386 - 1406 - 2*w + 4202.\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -212*w**2 - 4*w - 2*w + 215*w**2 + 4. Let k(i) = i**2 - i + 1. What is j(q) - 4*k(q)?\nAnswer: -q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llldlcpdl. Give prob of sequence lll.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.03? (a) 39.8 (b) 2 (c) -0.1 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2088 is divided by 512?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 - b**2 - 2*b + 1. Let l be o(3). Suppose 0 = 10*y - l*y - 24. Is y not equal to -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*c + 0*c**2 - 4*c + c**2)*(-2*c - 9*c**2 + 2*c).\nAnswer: -9*c**4 - 9*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-62)*(-724)\/(-2172).\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = t - 1, 5*x - 7*t + 3*t = -4. Suppose x = -3*q - 25 - 5. Let j be (-5)\/20 + q\/56. What is the second biggest value in 1, -2\/3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*2*(sqrt(63) + 5)*-1.\nAnswer: -6*sqrt(7) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 263042 is divided by 69?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7935714269 to the nearest integer?\nAnswer: 1995","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c**2 - 350*c**3 + c**2 + 201*c**3 + 182*c**3 + 15*c - 2*c**2.\nAnswer: 33*c**3 + c**2 + 15*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4487700 and 95737600.\nAnswer: 287212800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -202 - -206. Suppose -b*u + 2065 = 397. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*j = -17*j. Suppose j = 2*q + 8, -6*q + 1036 = 3*p - 7*q. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 33 = 5*f. Suppose -4*r + 70 = -5*h - 30, r - f = 0. Let p be 8\/(h\/4) - -7. Solve -2*l + 8 = -2*i, l + 14 = -0*i - p*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*(y\/(y\/y**(-4)))\/y)\/(y\/y**1*y)*(y**(-2\/3))**1 assuming y is positive.\nAnswer: y**(-17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-23652)\/(-3358) - (-3)\/(-69)) + -5. Suppose -2*n + 22 - 4 = 0. Suppose -4*v + 3 = -n. Solve v = -f*b - 1 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 312010331022 (base 4) in base 10?\nAnswer: 14176074","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/40 of a gram?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 - 8*t**2 - 10*t - 6. Let o be z(9). Let d = -4 - o. Which is the third smallest value? (a) 1\/2 (b) d (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69889487 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**0)**29\/(a\/a**(-1\/3)*a**(-1\/2)\/a*a))**(-30) assuming a is positive.\nAnswer: a**25","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of j**3\/6 + 15*j**2\/2 - 13*j. Give n(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 + 5*m**2 + 4*m. Let o be y(-4). Suppose o = -2*j - 26 - 26. Let s be 4\/(-8)*j + -1 + 1. What is the greatest common factor of 351 and s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-90)\/(-3) + 0\/(3 + 6 - 7) and 624.\nAnswer: 3120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18596, 32332, 69622, 142244, 261976, 440596, 689882?\nAnswer: 1021612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16052922701 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c + 7. Let v be k(-7). Suppose 0 = 2*y - v - 8. Let j(x) be the third derivative of -x**4\/24 - x**2. Determine j(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2\/9 + 1150*l\/3 - 6908\/9.\nAnswer: 2*(l - 2)*(l + 1727)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -724, -725, -726, -727, -728, -729?\nAnswer: -730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 44857 - 358837\/8. Find the common denominator of m and -23\/51416.\nAnswer: 51416","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -5*d - 5, -4 = -2*d + 7*s - 11*s. Solve d = i + 3 + 1 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*h**5 - 45*h**4 - 70*h**3 - 45*h**2 - 10*h = 0. What is h?\nAnswer: -2, -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-186)\/(-465) + 32\/70. Factor 2\/7*s**3 + 12\/7*s**2 + w*s - 20\/7.\nAnswer: 2*(s - 1)*(s + 2)*(s + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60193119 - 3.07.\nAnswer: 60193115.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3414555639?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l + l + 262*l**3 - 264*l**3.\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (82*d**2 - 4939*d + 4939*d)*(d + 10 - 10)*(-4*d**2 + 3*d**2 + 3*d**2).\nAnswer: 164*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 48 divided by -564\nAnswer: -4\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: a67 (base 11) to base 13\nAnswer: 779","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/(y\/(y*y*(y\/y**13)\/y*y)))\/((y**(15\/4)*y)\/y))\/(y**(-3\/4)\/y)**(-2\/143))**(-5) assuming y is positive.\nAnswer: y**(39395\/572)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**9*q*q*(q\/(q\/(q\/(q*q**(-4\/3)*q))*q))\/q)\/(q*q**2*q**(3\/2)) assuming q is positive.\nAnswer: q**(29\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a**2 - 13338*a - 44475561 = 0. What is a?\nAnswer: -6669","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 6441 = 5*n, 12*n = -4*t + 9*n + 6465. What is the hundreds digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 22\/6977 or -1?\nAnswer: 22\/6977","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes before 4:51 AM?\nAnswer: 5:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.4 - -0.7. Let w = -0.706 - a. Let y = 0.089 + w. What is y rounded to two decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b (base 16) to base 15.\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-2)\/5 + (-352)\/(-55) and 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*t - 84 = -61*i + 66*i - t, -8*i + t = 132 for i.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 - -14. Suppose -t*n + 11 = -29. Solve 2*y = 4*g + 4*y - 4, n*y = g + 21 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2*18\/12 + 4 + 2683. Suppose -3*y + b = 3*r - 292, 0 = -y. Does 27 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 - 4*i - 2. Suppose -3*v = v - 2*s + 14, -4*v - 2*s = 18. Let a be u(v). Let j = a - -2. Solve j*d - 2*n = 3*d - 2, -4*d = 4*n + 4 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -2*l**4\/3 + 554*l**3\/3 - 17112*l**2 + 1608160*l\/3 - 1557376\/3 = 0.\nAnswer: 1, 92","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -283*g**2 - 272*g**2 + 532*g**2.\nAnswer: -23*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6529 - 6530. Let k(s) = -s**3 - 5*s**2 - 5. Let u be k(-5). Sort u, -0.05, r in ascending order.\nAnswer: u, r, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110010001011 + -10001101?\nAnswer: -110100011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 62, 8 in increasing order.\nAnswer: 5, 8, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.15 and 4.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 12, -8*r + 41 = 2*q - 3*r. Suppose -3*m - q + 1 = 0, 3*m = 4*y - 20. Suppose 371*p = 354*p + 51. Solve y*l = p*l + 5 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 289459897 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24586.\nAnswer: 2, 19, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, -1\/2, -1\/6, -165004, 31, 0.3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 - (8 + (6 + -11 - -5) + -6)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7545 + -105737\/14. Let c = 6141\/5576 + 15\/328. Calculate the common denominator of c and i.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3120 by 6.\nAnswer: 520","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10.408 - 3.68. Let w = 0.247 - 0.075. Let v = o + w. What is v rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 5*l - 44. What is p(7)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -26, -87, -182, -305, -450, -611?\n\"Answer: u**3 - 23*u**2 + u - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -105463*h**5 + 7938*h**2 + h wrt h?\nAnswer: -6327780*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 160020950 to the nearest integer?\nAnswer: 12650","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -126, -886, -2152, -3924?\nAnswer: -6202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -122201000 - -1211?\nAnswer: -122122012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -189856\/11 less than -17261?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*c**2 + 0*c**2 - 2*c**2)*(73*c + 96*c + 48*c) in the form a*c + j*c**2 + d + p*c**3 and give p.\nAnswer: -434","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1038 - 1473. Let v = 434.99999743 + g. Round v to 7 dps.\nAnswer: -0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8460 + -8481.036. Let c = 33 + -54. Let x = w - c. Round x to 2 decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -216 - (-14 + 35\/5 + 12). Sort -4, -5, o in ascending order.\nAnswer: o, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6 + 2)\/(16\/(-20)). Suppose 1 = -2*m - 5. Put m, f, -1 in descending order.\nAnswer: f, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -226 and 0.3?\nAnswer: -67.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of -257*l**6\/4 - 165*l**4\/2 + 6412*l**2. What is the second derivative of i(o) wrt o?\nAnswer: -46260*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 PM and 12:32 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14144 and 1792?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 727 is divided by 73.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 20*l**2 - 10*l. Let d(p) = -3*p + 2*p - p**2 + 1 + 2*p. Let r = -2161 + 2162. Let m(h) = r*a(h) + 10*d(h). Find the first derivative of m(x) wrt x.\nAnswer: 20*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d + 13. Let n be h(11). Let j be (-2*1)\/(1\/(-5)). Suppose w - 8 = -0*s + 2*s, n*w = s + j. Is 2 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2594 is divided by 216.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(891)*1)**2 - (1*sqrt(396))**2.\nAnswer: 495","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -3796900 divided by 10\nAnswer: -379690","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25 + -6. Is 16 a factor of 0 + 1 + (b - -8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 448*w - 372*w = -836 for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -4, -8, -12, -16, -20, -24?\n\"Answer: -4*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113 = 2*c - 0*z - 3*z, 3*z = -3*c + 207. What is the greatest common factor of c and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*o**2 - 55*o**2 + o**3 + o**3 + 0*o**3.\nAnswer: 2*o**3 - 37*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 + 2. Suppose -1387 + 1371 = -8*m. Let h(i) = 2*i**m - i**2 + 5*i**2 + 3 - 3*i**2 + i - 2*i**2. Calculate -2*h(t) + 3*q(t).\nAnswer: t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 63530 to the power of 1\/3, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7*2\/(-6) - (2 - -1)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/23)*z)**(5\/14) assuming z is positive.\nAnswer: z**(15\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 40.4773 millilitres in litres?\nAnswer: 0.0404773","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -241500*f*p - 272063*f with respect to p.\nAnswer: -241500*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -4*y + 15. Let d(h) = h**2 + 67*h - 517. Let w be d(7). Sort y, 4, w, 3 in descending order.\nAnswer: y, 4, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 254*k + 5*j = 256*k + 95, k + 5*j - 80 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.061757046 rounded to three decimal places?\nAnswer: -0.062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 314071.6ms?\nAnswer: 314.0716","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 4*n + 4. Let r be k(-4). Calculate the remainder when 9\/r + (-357)\/(-12) is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -70*f**3*g - 2*f**3 - 4*f**2 + 418*f - 53*g**3 wrt g?\nAnswer: -70*f**3 - 159*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in fourty-three quarters of a microgram?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1582\/(-21) - 50974\/(-662)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(637) - (sqrt(637) + -5 + 4 - sqrt(637))**2) + (-4 + -4*sqrt(637) + sqrt(637))*2.\nAnswer: -77*sqrt(13) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1 + sqrt(1300) - sqrt(1300))*6)**2 - (sqrt(13) + sqrt(1300) + -1)*5) + -3.\nAnswer: -55*sqrt(13) + 38","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = 4*m + 5*h, -m + 2*h = -2 - 3. Let r be (-4 - -3)\/(1\/m). Put -3, 5, r in ascending order.\nAnswer: -3, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c**2 + 6*c - 6*c)*(-32*c - 70*c**3 + 32*c) + c**3 + 0*c**3 - 4*c**5 + 3*c**5.\nAnswer: -141*c**5 + c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqdel. Give prob of picking 1 e and 1 q.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 146\nAnswer: 5\/146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((30 - 25) + -2 - (1 - -1 - 9)) + -86.\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 39 times 88.965\nAnswer: 3469.635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 249938 is divided by 249912.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1470*c**3 - 1556*c**2 wrt c.\nAnswer: -8820","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, f: 2, t: 4, h: 4}. What is prob of picking 1 x, 2 f, and 1 h?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 41\/339 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 4:54 PM?\nAnswer: 8:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in three eighths of a kilometer?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11111001101001 - -1001101001010?\nAnswer: -10101100011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v - 1. Let n(i) = -109*i**2 - 3*i + 3. Let y(r) = 3*h(r) + n(r). Let q(l) = l**2. What is q(y(o))?\nAnswer: 11881*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 - 22*j - 12*j + 41*j.\nAnswer: 7*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1945548 >= -71985306\/37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8422316*s*w**3 - 90*w**3 + 1788 wrt s?\nAnswer: 8422316*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is 1121235 to the power of 1\/4, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*h**4 - 37590265*h**3 + 23550460781125*h**2 + 7850157770405*h.\nAnswer: 5*h*(h - 1253009)**2*(3*h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19)*-2)**2 + 4 - sqrt(95)\/sqrt(20) - ((sqrt(38)\/sqrt(2))**2*5 - sqrt(19) - (5*(sqrt(19) - (sqrt(19)*-1 - sqrt(19))))**2).\nAnswer: sqrt(19)\/2 + 4260","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fwwwfwwwwffdddwjfdd. What is prob of picking 1 f and 1 d?\nAnswer: 25\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -58*q - 340. Suppose c - 37*c - 1404 = 0. What is the hundreds digit of h(c)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-49 - -52) + (-2)\/((-2)\/17). Suppose 2*o + b = 4*o. What is the remainder when o is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-240)\/390)\/((-873)\/(-3783))?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -4*a**3 - 631*a**2 - 469*a + 215. Give u(-157).\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20 + 11. Let d be p\/(-5) - 6\/(-30). Determine g so that 1 - 4 + 4 + 0*g**2 - g**d = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11288888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000287979 to 6 decimal places.\nAnswer: 0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence do when two letters picked without replacement from {z: 2, t: 13, o: 1, j: 3, d: 1}.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of 11*x**4\/12 - x**3\/2 + 5*x**2\/2 - 8*x + 2. Let c(q) be the first derivative of y(q). Is c(9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 8 (b) 2\/17 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 2*h - 24, -h + 3*c = -9 - 3. What is the remainder when 22 is divided by h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -684910*g**3 + g - 306662?\nAnswer: -2054730*g**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 7 + (19\/(-9) - 4). Which is the nearest to t? (a) -5 (b) -0.3 (c) -0.1 (d) 2\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1922 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 c(s) = 2*s + 8*s**3 + 5 - 12 - 2*s**2 + 6. Let l be (-4)\/20*(-30)\/6. Determine c(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 22*r**3 - 32*r**2 - 152*r - 16. Let l(q) = -7*q**3 + 10*q**2 + 51*q + 5. What is 5*a(w) + 16*l(w)?\nAnswer: -2*w**3 + 56*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 7*c = 9*c + 5, 0 = -5*r - 3*c - 4 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -35*y + 33. What are the prime factors of m(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1052?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 5*v**3 - 8124*v - 3*v**3 + v**3 + 8127*v + 5*v**3 + 2. Let i(t) = t**2 - 7*t - 1. Let o be i(0). Determine m(o).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 - 10. Let i be (542\/(-9))\/(s - 1). Let m = -14\/9 + i. What is the common denominator of m and 13\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88361313 to the power of 1\/2, to the nearest integer?\nAnswer: 9400","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f + 30. Let q be x(-17). Suppose -3*y + 3*v = 2 + 1, -5*y - 3*v = q. Which is the nearest to 1? (a) y (b) 11 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*c**3 - 4*c**3 + 7*c**3 + (-250*c + 6*c + 12*c)*(3*c**2 + 1 - 3 - 2*c**2).\nAnswer: -233*c**3 + 464*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 9:46 AM?\nAnswer: 8:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 16 = -5*s + 4, -2*s - 5*m + 8 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*u**2*x**2 - 7*u**2*x + 71*u*x + 8*u + 125753*x**5 - 2*x wrt x?\nAnswer: -6*u**2 + 2515060*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/7)*c**(-5))\/(c*c\/c**0*c)**(16\/9) assuming c is positive.\nAnswer: c**(-211\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 863466 - 1?\nAnswer: 863465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s - 2. What is the units digit of k(-10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 91832 and 19344?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 4897087*y. Let l(i) = 2*i**2. Determine l(j(h)).\nAnswer: 47962922171138*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 60 and 1230.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.105, 2, -4, 1.2, 1\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 22*f - 20*f - 10 = 0, -4*n - 8 = -f for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1455000 rounded to the nearest 10000?\nAnswer: 1460000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 PM and 3:20 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 51 - 49. Suppose 3*g**2 - 7*g + 1 + g**4 - 5*g**3 + 4*g**2 + 1 + 2*g**f = 0. What is g?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 i, and 1 m when three letters picked without replacement from {n: 1, e: 2, m: 1, u: 1, z: 1, i: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/15, -5, -0.4, -7, -5\/9, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3499 is divided by 48?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 2*j - 2018, 77*l - 74*l = 3*j + 1518. Which is smaller: l or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2561853184 and 328?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(99) + 6*-3*sqrt(99) + sqrt(99))*6)\/((sqrt(2916) + sqrt(2916)*3 - sqrt(36))\/sqrt(4)).\nAnswer: -576*sqrt(11)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - z = -0*l - 12, l = -4*z + 12 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 - 0.0717.\nAnswer: 0.1283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 36 = -4*d, f + 3 = -1 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10 - (5 + -4 + 4). Suppose -r*b + 7 + 213 = 0. What is the highest common factor of 22 and b?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 2 m, and 1 p when four letters picked without replacement from {o: 3, t: 1, w: 1, m: 5, p: 1, k: 2}.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -197 + 153 - (1 - 1 - -1)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -22*a**3 - 2*a + 2. Let g(v) = -111*v**3 - 11*v + 11. What is -4*g(z) + 22*n(z)?\nAnswer: -40*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, d: 1, s: 1, r: 2}. Give prob of sequence rr.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 7232210 = -6*b. Let p = 2176442 + b. What is p rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 16\/7 + 2\/(-7). Suppose 5*a - 4 - 6 = 0. Suppose a*r = -5*y + y + 2, -5*y + 4*r + 22 = 0. Solve -4 = z*s - y for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of p**4 + 39478723*p**2 + 241334050*p wrt p.\nAnswer: 12*p**2 + 78957446","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3219 + 3218. Are 2\/21153 and p nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 43, 38, 21, -14, -73, -162, -287?\n\"Answer: -j**3 + 2*j + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14 + 2 + y - 10 + (y + 2*y - y)*(1 + 2 - 1).\nAnswer: 5*y - 22","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -667, -670, -675, -682, -691, -702?\n\"Answer: -y**2 - 666","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of 6606*x - 54 - 12*x**3 - 6606*x. Let d(a) = 2*a**2. What is d(c(f))?\nAnswer: 2592*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/4))**45\/(j**(-2\/5)\/j)**(-37\/5) assuming j is positive.\nAnswer: j**(-2161\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(242)*-2 - (sqrt(2) + (sqrt(22)\/(sqrt(11)*-1) - sqrt(2)))) + -1.\nAnswer: -21*sqrt(2) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5999058517 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1513 is divided by 41?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*r + 16 = 3*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -8158, -16311, -24464, -32617?\n\"Answer: -8153*q - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 10322?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17 - 28) + (0 - 2) + 25?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 6:51 PM?\nAnswer: 1:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -88, -111, -142, -199, -300, -463, -706?\nAnswer: -1047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -148458170 rounded to the nearest one million?\nAnswer: -148000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.6 + 0.3. Let q = -0.305 - t. What is q rounded to three decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 - -8. Let q = -1 + k. Let d = -3.576 + 0.576. What is the closest to 2 in d, q, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(2 + 1 + sqrt(432) + (0 + sqrt(12) - sqrt(12)\/sqrt(4)*-5))**2.\nAnswer: -4368 - 456*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 575591?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {u: 1, k: 2, d: 4, l: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -155423890 or -155423886?\nAnswer: -155423890","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1865569 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -409490 + 630.\nAnswer: -408860","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.02? (a) 13 (b) -4 (c) 1.57\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6920862?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9344 is divided by 183.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 72 + -61. Let p be f\/4 - (-1)\/4. Suppose t - t = -p*t. Which is the smallest value? (a) t (b) 0.02 (c) -2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 32032?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 965479090 a multiple of 497?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, a: 2, r: 3, h: 1, p: 2, q: 1}. What is prob of picking 1 r and 1 h?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 158*w - 530.\nAnswer: 158","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.271 - 0.306?\nAnswer: -4.577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 26052703?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 + 7*f**2 - 4*f. Suppose -3*z - x = 2*x - 90, -3*x = -5*z + 134. Let w = z - 16. What is the smallest common multiple of w and t(6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 4*p + 2*l - 5, -4*p + 19 = -5*l. Which is the biggest value? (a) -3 (b) p (c) 2\/7 (d) -2.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 538678 is divided by 67320?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 81369 and 6211167.\nAnswer: 18633501","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-28)\/8 + (-1)\/2. Let k be 75\/(-27) + i\/18. Calculate the remainder when (-1)\/(10\/795)*2\/k is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -447322*l - 2683921. Determine h(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the third derivative of -p**5\/60 - p**4\/4 - p**3 + p**2. Let l be j(-4). Let q be -2 + (3 - (-4 + 2 - 1)). Solve -q*h = -6*h - l for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 501892 and 19241?\nAnswer: 35634332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288)*2)\/(sqrt(45)\/((sqrt(125) - sqrt(5)) + sqrt(5)) + sqrt(9)) - (sqrt(490)*6)\/(6*-3*sqrt(5)).\nAnswer: 9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 2*s**2 + 3. Suppose d + d - 2 = 0. Let o be (d\/(-2))\/(3\/18). Calculate the remainder when a(o) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/125)\/((32\/(-20))\/8).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 112 = -t, -6*t = 3*n - 5*t - 84. Let l = n + -20. What is the least common multiple of l and 3?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -228 - -189. Is v less than 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 69874193?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6\/(-15))\/((-4)\/5). Let b = -382 + 364.3. Let f = b - -17.8. What is the closest to f in -3, -4\/11, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6 + c1?\nAnswer: ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.062 - -0.06. Let g = 0.001855 + q. Round g to five decimal places.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -712 (base 10) to base 4\nAnswer: -23020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of 1\/9*u**3 + 0*u - 1\/6*u**2 - 1. Factor q(g).\nAnswer: g*(g - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(91) - (sqrt(91)*1 + sqrt(91)))*1*-4)\/(((sqrt(560)*1)\/sqrt(10))\/(sqrt(24)\/sqrt(3)*6 + sqrt(8))).\nAnswer: 56*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*r = -346 - 14 for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = 4*i + 12. Let l be 17870\/(-3)*4\/i. Let d = l + -1584. Find the common denominator of 35\/8 and d.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 - b. Let z(m) = -4*m**2 + 3*m. Let t(d) = 3*k(d) + z(d). Let s(r) = -1. What is s(y) - t(y)?\nAnswer: y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/2 (b) 14 (c) 2 (d) 0.46\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -289 + 294. Which is the nearest to -2\/9? (a) 0.02 (b) -2 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 AM and 1:37 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 5*m = -3774, 0*r - 2*m = -r + 1896. What is the hundreds digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 239 is divided by 48.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*b + 2*s = 8*b - 12, 5*s + 12 = b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1226041*t**2 - 1723701*t**2 - 698147*t**2.\nAnswer: -3647889*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16 - -60. Suppose 4*z = -2*c + 120, 3*c + w = -3*z + 4*z. Suppose 3*b = z - 8. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 2\/3, -5\/7, 2\/7, 7, -966 in descending order.\nAnswer: 7, 2\/3, 2\/7, -0.5, -5\/7, -966","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54\/(-81)*(-84)\/2*13\/((-312)\/42).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (3 - (0 - -7))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1010 (base 2) to base 15\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*f + 0*f - 4*f + (-2 + 3 - 2)*(17*f + 0*f + 3*f).\nAnswer: -21*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 12 = w. Suppose -10 = -8*t + w*t. Let y(i) = 16*i**3 - i**2 + i + 2. Let o be y(t). Calculate the greatest common factor of o and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85)\/(sqrt(5)*5) + 5)**2.\nAnswer: 2*sqrt(17) + 642\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20 + 1. Calculate the remainder when 81 is divided by f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 + 9*p**2 + 2*p - 25. Let g be o(-6). Calculate the greatest common divisor of g and 923.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1733180?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -2*sqrt(33)\/((sqrt(3)*2 - sqrt(3)) + sqrt(3))*-2)**2.\nAnswer: 16*sqrt(11) + 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -27 (base 16) to base 2.\nAnswer: -100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, t: 1, a: 1}. What is prob of picking 1 a and 1 e?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of 588*d**2 - 28\/3*d**3 + 1\/18*d**4 + 210*d + 0. Solve b(y) = 0 for y.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2 + 7*z + 2. What is the remainder when 57 is divided by q(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(96)\/sqrt(2))\/sqrt(8))\/(sqrt(75)*-1 - sqrt(3)).\nAnswer: -sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tdootottodotjddodo. Give prob of picking 2 t and 2 o.\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.282 - -0.718. Which is the fourth smallest value? (a) -2 (b) -5 (c) -3\/4 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3476.6 and -4.\nAnswer: 3472.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 0.01, 1, 230, -0.1, -24.9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -25 - -9 - (2 - 2) - (-9 + 3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**0*y**(3\/5) assuming y is positive.\nAnswer: y**(3\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/((-3)\/1 - -5). Let p be (s\/(-2))\/(1\/(-6)). Solve -m - 2 = 3*v, -m + 6 = p*v + 2*m for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q\/((q*q*q*q\/(q*(q\/(q\/q**(-1\/5)))\/q*q))\/q)*q*q*q\/q**23*q*q)\/(q**(3\/7)\/q**10) assuming q is positive.\nAnswer: q**(-267\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 + 16*n**2 - 32*n - 76. Let l be s(13). Solve -5*t - l = 5*c, c - 6 = 2*t + 6 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ar when two letters picked without replacement from diaorlodi.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 22433 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 507?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 11*l - 13. Let f be (14 + -28)\/(-1 + 2). Let n be f\/35 - (-3)\/(-10)*22. Let r be i(n). Round r to the nearest ten.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the first derivative of -43*n**2 + 329. Let j(y) = 12*y. Calculate j(x(i)).\nAnswer: -1032*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2926404 divided by 79092\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, i: 1, n: 2}. Give prob of picking 1 i and 2 h.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2772320*y**4 + 4391412?\nAnswer: -11089280*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in eleven eighths of a hour?\nAnswer: 4950","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 117, 253, 401, 561, 733, 917?\n\"Answer: 6*g**2 + 118*g - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -49 - -51. Suppose b*i = 177 - 45. Suppose 0 = 2*z + 2, -48 = -x - 5*z + i. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = 3*p - 3*i, 5*p + 5 = 2965*i - 2970*i for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f - f + 3*f)*(4 + 4 - 4)*(-1 + 3 + 0).\nAnswer: -16*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 10111001100110111010100 (base 2) in base 4?\nAnswer: 113030313110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(-4))\/(-1)*(-1608)\/(-670)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of 11*k**5\/60 + k**4\/12 + k**3\/2 + 105*k**2. Calculate the remainder when d(3) is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -155*y + 13482 = -5583 for y.\nAnswer: 123","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 584849?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 98 and 10123859?\nAnswer: 10123761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28163 + 28163 - x**2.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 485205 by -7.\nAnswer: -69315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 750 and 2298450?\nAnswer: 11492250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2103153*u - 2103153*u - 5*u**3.\nAnswer: -5*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(-1\/2))**(5\/4))**(-37)\/(c*c**(-1\/2)\/c*c*c**0*(c\/(c\/(c\/((c\/(c*(c*((c\/c**4*c)\/c)\/c)\/c*c*c))\/c)*c)))\/c**(-4)) assuming c is positive.\nAnswer: c**(-599\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (24\/(-9))\/(((-88)\/(-12))\/(-11))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 479*x + 486*x + 480*x - 1441*x + 1 + 3*x**2 - 2 + 18*x**3 as v*x**3 + p*x**2 + i*x + t and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.5477928 + 0.26?\nAnswer: -11.2877928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.7 - 2.2. Let m = 7 - 7.3. Let l = 69 - 72. Which is the nearest to l? (a) m (b) 1\/3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 - 4. Suppose -7 = -m*u + 5*g, u + 1 = 6*g - g. Calculate the remainder when (-2)\/(u - 2) + 48 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = 3*z - 35 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -4*(sqrt(11)*2 + 0 + -1*sqrt(704)) + (6*1*sqrt(88) - sqrt(88) - sqrt(88))\/((sqrt(96)*-2)\/sqrt(12)).\nAnswer: -3 + 22*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 12 + (2 + -1 - 4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -2680*p + 48243. Calculate the lowest common multiple of f(18) and (-1 - -10) + 2 + -1.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13184 by -5.\nAnswer: -13184\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 5*t**3 - 7*t**2 - 18*t + 4. Let h be l(11). Suppose 0 = -37*u + 23*u + h. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 230 and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.6860408 weeks?\nAnswer: 414917.47584","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -105 times 17321.28?\nAnswer: -1818734.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 4, -783, -4, -1\/36?\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21 - 16. Let r = -3 + 8. Suppose 77 = r*u + w*l - 2*l, u + l - 17 = 0. Is 7 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 1 = -4*z, 1165*z + 2*w = 1164*z + 11 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 66.45 + 0.59. Let i = o + -56. Let w = 11 - i. What is w rounded to 1 decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 2 = 4*u - 28, 4*g + 5*g + 5*u = 14*g + 40 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -370\/7 - -53. Let c(k) = k**2 + 33*k - 105. Let j be c(-36). Suppose m = j*m - 5*v + 28, m + v = 0. What is the closest to s in 0.4, m, -1\/2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**3\/7 + 1420*s**2 + 6120192*s\/7 - 68530176\/7.\nAnswer: 4*(s - 11)*(s + 1248)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 3 + 3)*(-j**2 + j**2 + 2*j**2) + (-1 + 1 - j)*(-3*j - 1 + 1) to the form g + c*j + b*j**2 and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lmm. What is prob of picking 2 m?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 - 38 = -4*f. Let t be 4 - (f + 4 + 8) - -1. Let h be (-2)\/((-9)\/(-27) - t\/1). Solve -h*g = 5 + 1 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 180*z - 180*z - 3*z**4 + (-4*z**3 + 4*z**3 - 2*z**3)*(51*z - 19*z - 18*z).\nAnswer: -31*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 128*z - 2 - 117*z + 2*z**3 + 246*z + 331*z**2 to the form h + k*z**3 + l*z + t*z**2 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 + y**2 + y. Let n be m(-1). Let u be n*((4 - 2) + -2). Suppose -125 + 107 = -r - 5*h, -18 = 3*r - 3*h. Sort -4, u, r in ascending order.\nAnswer: -4, r, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 8*q + 183. Let b(l) = -31*l - 767. What is -6*b(k) - 26*d(k)?\nAnswer: -22*k - 156","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**2 - 3*s**3 - 4*s**2 + s**2 - s. Let o be n(-1). What is the first derivative of -3 - 15*x**o + 15*x**2 + 2*x**4 wrt x?\nAnswer: 8*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -67, -275, -611, -1063, -1619, -2267?\nAnswer: -2995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, 1, 0, 451 in ascending order.\nAnswer: -2, 0, 1, 5, 451","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 27 * 1.4507.\nAnswer: 39.1689","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 899455 greater than or equal to 899455?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 337505*n**2 - 1024693 wrt n?\nAnswer: 675010*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to 46\/1298211?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 - -18. Suppose -m*b + 306 = 2*u, -2*b = u + 3*u - 116. Does 13 divide 3 + 4\/(8\/b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f**2 + f**2 - 3*f**2 + (12*f - 2*f + 5*f)*(3*f - 3*f + 2*f).\nAnswer: 26*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20, 13, 6, -1, -8, -15?\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*i**3\/9 + 9818*i**2\/9 - 1964*i\/9 = 0 for i.\nAnswer: -982, 0, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 523.8326 hours to seconds.\nAnswer: 1885797.36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*x - 386*x - 3521 - 5379 = 0 for x.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*u = -325 - 559. Let h(l) = -8*l + 275. Let o be h(u). Solve 0 = -3*i + 5*s + o, s + 15 = 4*i - 7*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 + 10.4. Let j = 3 - u. Let h = j - 0.2. Which is the second smallest value? (a) 3 (b) -0.5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 42 = -i. Suppose 0 = -2*f + x + 3*x - i, 4*x - 32 = -4*f. Suppose -6*z + f*z + 15 = 0. Solve 0 = g + z for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -99 * -0.0458.\nAnswer: 4.5342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1467 a factor of 2743290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 10) to base 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 PM and 5:47 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + 6. Let f(v) = -7*v + 21. Let q(b) = 8*b - 24. Let d(z) = -6*f(z) - 5*q(z). What is d(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-660)\/72*(-741)\/418 - (-2)\/(-8). Find g, given that 0*g + 4\/3*g**4 + 36*g**2 + 0 - z*g**3 = 0.\nAnswer: 0, 3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47614665 divided by -9522933.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06 times -1246.002?\nAnswer: 74.76012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 0.4, -5\/2, -231\/23339?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1007 + -1002. Solve k - r*t - 13 = 8, -3*k - 2*t - 22 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-1.1\nAnswer: -0.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98 = 8*o - 0*o + 22 for o.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 45, 52, 31, -30, -143, -320, -573, -914?\n\"Answer: -2*d**3 - 2*d**2 + 27*d + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 0*h**2 + 2*h**2 + 1 - 8*h**2 - h. Let f be n(2). Does 13 divide 0 - (f - (3 + -2))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 4*r + 73. Let g be x(-20). Let q(m) = -m**2 - 8*m. Give q(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.3 or 10162?\nAnswer: 10162","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 545782.\nAnswer: 2, 67, 4073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 96485.37 years?\nAnswer: 96.48537","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -31a875 (base 12) to base 7\nAnswer: -6451553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of r**5 + 7*r**2\/2 - 6. Find the second derivative of a(k) wrt k.\nAnswer: 60*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(133)\/sqrt(448) + (sqrt(76) + 3 + sqrt(76) - sqrt(76)).\nAnswer: 3 + 17*sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - 6.4. Let z = 5.3 + q. Let y be (5\/7)\/(46 + -41). What is the fourth smallest value in -0.4, z, -0.5, y?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 + 76*n - 1483. Let i be x(37). Let u(s) = 2*s + 5. Let d(o) = 25*o + 65. Calculate i*u(j) + 3*d(j).\nAnswer: -5*j - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8306 + 88646 = 20*s + 10*s. Calculate the highest common divisor of s and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -143 - -143. Solve -y + 4*j + 13 = q, 1 = 3*y + 5*j - 4 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-238)\/3876 + 3\/18 + 0\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 9, y: 7}. What is prob of picking 3 y?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*a = 4*h - 2*a - 27, 0 = -h - a + 6 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 37 - 3. Calculate the highest common divisor of 60 and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2443 - -2224?\nAnswer: 10222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/(-4))\/(1\/(-114)). Let q(a) = 2*a**3 - 3*a**2 + 6*a - 7. Let u be q(3). Calculate the greatest common factor of g and u.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*g = 1738 - 1674 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 63.8193 micrometers in nanometers?\nAnswer: 63819.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + 1202430?\nAnswer: 1202423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14\/(-77)*1 - 19\/(209\/(-8670)) is divided by 226?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3908?\nAnswer: 2, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 10 + 14. Suppose -6*r = -h*r - 1528. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 62399980 = 4*x, x - 17588503 + 1988487 = -4*j. What is x rounded to the nearest one million?\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -322, -357, -402, -457?\nAnswer: -522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 + 6*j**2 + 8. Let q be w(6). Let c(p) = p - 8. Let v be c(8). Suppose -2*t + 36 = 5*a, 4*t + v*a - 16 = 4*a. Solve 4*b + t = -q for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 905 is divided by 269.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 5*d**2 + 6*d - 42. Let m(y) = -4*y**2 - 8*y + 42. What is 4*m(n) + 3*q(n)?\nAnswer: -n**2 - 14*n + 42","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 209 divide 1227248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 + 5 + 5*g + (-29*g + 15*g + 7*g - 19)*(4 - 2 - 3 + 4 + 3 - 6 + 3 - 1 + 0 + (3 - 2 + 1)*(3 - 3 - 2)).\nAnswer: 19*g + 38","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the third derivative of 43*b**8\/14 - 541*b**5\/60 + 76*b**2 - 4*b. What is the third derivative of a(c) wrt c?\nAnswer: 61920*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2*((-60)\/4)\/5. Suppose l = 59*y - 57*y. Solve -v + 4 = y*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 1396*i**2 - 3*i + 3. Let w(b) = 647745*b**2 - 1393*b + 1393. Determine -1393*t(k) + 3*w(k).\nAnswer: -1393*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 PM and 9:18 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-74 - 68 + 20)*(-6*a + 4*a + a).\nAnswer: 122*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 0.1, -4\/3, 0.04, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of b**7\/105 + 19*b**3\/3 + 5*b**2 + 7. Find the first derivative of j(u) wrt u.\nAnswer: 8*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 115\/69 - 25\/75. Factor w + 8\/3*g**2 + 10\/3*g + 2\/3*g**3.\nAnswer: 2*(g + 1)**2*(g + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 + 19. Suppose d + 10 = 2*x, d + d = x - p. Let m be -4*(-3 - 7\/d). Sort m, -1, 4 in ascending order.\nAnswer: m, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 34368894*o**3 + 34199827*o**2 wrt o?\nAnswer: 206213364","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 - 27*d + 134. Calculate the remainder when g(-22) is divided by 79.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -212111002220101 (base 3) to base 11\nAnswer: -705529a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from {g: 3, f: 7, v: 9}.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-10))\/((-29)\/(-580)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by 1352.\nAnswer: -7\/1352","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000000 - -1100101010110000?\nAnswer: 1100101100110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92 = 18*k - 16 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 4 - 0) + 1 - 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 - 5*f**2 - f + 5. Let w(s) = s**2 + s - 1. Let c be w(-3). Let v be a(c). What is the nearest to v in -3, -1\/5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -50 - -49.98. Put -4, -5, 0.3, b in decreasing order.\nAnswer: 0.3, b, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 170.4778 years to months.\nAnswer: 2045.7336","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -507 + 5795 = 8*o. Let a = o + -1271. Round a to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 39379.23l?\nAnswer: 39379230","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 6537216 divided by 4\nAnswer: 1634304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 194717424?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1372 * 0.3.\nAnswer: -411.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ryri when four letters picked without replacement from irhyhhikirkii?\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Is -61053127 >= -61053126?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -32830 divided by -6566?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oososs. What is prob of sequence ooo?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1695?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 - -4 - (-19)\/1. Let l = 148\/7 - q. What is the biggest value in 0.3, l, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33)\/(sqrt(132)\/(sqrt(36)\/sqrt(3))) + (-5 + sqrt(48))*4)**2 + (sqrt(270)\/(sqrt(10)*1))\/(sqrt(54)\/(sqrt(36)\/sqrt(6))).\nAnswer: -679*sqrt(3) + 1267","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 less than 1.352?\nAnswer: -6.648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r**4 - 39*r**3 + 90*r**2 + 12*r - 120 = 0 for r.\nAnswer: -1, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126 = -4*l + l. Suppose -39 = -5*c + 4*j, -2*j + 3*j - 59 = -5*c. Calculate the remainder when l is divided by c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-42)*(-9 - -3 - -9). Which is the fifth smallest value? (a) 2\/21 (b) -5\/9 (c) s (d) -6 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r + r - 2*r)*(0*r**3 + 3*r**3 + 0*r**3) + 3*r**4 - 2*r**4 - 4*r**4 + 2*r**4 + r - r + (r - r - 2*r)*(5*r**3 - 4*r**3 + r**3).\nAnswer: r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1.89 * -0.13\nAnswer: -0.2457","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1 and 1161883?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x - 8. Let w(y) = 3. Suppose -31*l + 32*l + 40 = 0. Let q be (30\/l)\/((-1)\/(-4)). Calculate q*v(s) - 8*w(s).\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*i + 3629 + 2*i**4 - 3628 + 121*i**3 + 2*i**2 - 73*i**3 to k + w*i**3 + m*i**4 + h*i + c*i**2 and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 482939 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r + 3*b + 21, 6 = -b + 3. Let p(l) = 10*l**2 - 4. What are the prime factors of p(r)?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-2)*(-1428)\/(-84)*40\/5\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in one quarter of a day?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 25 = 2*f - 5*v, 3*f + 2*v = 0. Solve r + 3 = f for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2383377?\nAnswer: 3, 73, 10883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 367 + 2 + 1 + 1. Let y = -171 + z. Round y to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 2, -1\/4, -5, 3.7?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1044 - 201122?\nAnswer: -202166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = t - 539, 4*u = 5*u + 5*t - 274. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1121110 (base 3) to base 16.\nAnswer: -495","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4 from -15447549535.\nAnswer: -15447549531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0858836499 rounded to 5 decimal places?\nAnswer: -0.08588","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -14, 1\/5, 15\/4 in decreasing order.\nAnswer: 18, 15\/4, 1\/5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of -5*o**4\/4 - 25*o**3\/3 + 65*o**2\/2 - 35*o - 13. Let h(p) = 0. What is p?\nAnswer: -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42213305.\nAnswer: 5, 317, 26633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 PM and 7:40 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -8\/17575 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 134447 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -26\/2949795 and -94\/2949795.\nAnswer: 2949795","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 5*j**2\/2 + 49*j + 156 = 0.\nAnswer: -78\/5, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 729493 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 4*h**2 + 1053276*h - 7373128 = 0.\nAnswer: -263326, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 7 - 1 - (-15 + 18)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20098 is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 441603718?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2067?\nAnswer: 3, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-1\/52)\/t**37 assuming t is positive.\nAnswer: t**(-1925\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 117\/14 and 73\/16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence flf when three letters picked without replacement from {l: 3, f: 12}?\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.4 - 69.4. Let j = 67.5 + d. Which is the closest to 0? (a) -2\/7 (b) j (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/5? (a) -1\/564 (b) 831 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54 is divided by 54.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2160) - 1*sqrt(2160))\/sqrt(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, h: 1, a: 1, o: 2, c: 2, l: 1}. What is prob of picking 1 a, 2 o, and 1 l?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18366 and 36?\nAnswer: 110196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 20, n = -5*y - n + 6665. Let l = -288 + y. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50\/75*(6\/7)\/((-10)\/(-70))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/1407 or -5745?\nAnswer: -5745","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/8 (b) 3\/11 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 450*z**2 + 449*z**2 + 2.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -71142516 by -3492.\nAnswer: 20373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -1739*b + 17378. What is i(10)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 9 + 2*d - d - 11*d**2 - 7 - d**3. Let s be n(-11). Suppose -4*m + 5*x = 12, m - 5*x = -4*m - 20. Is s greater than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.79 to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - m = -43578, 2*m + m = -v + 10889. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 177 - 86. Suppose 3*m + 5*o = 124, m - b = -m - 5*o. Let v = -22 + m. What are the prime factors of v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02034161379 rounded to 6 decimal places?\nAnswer: 0.020342","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10996 is divided by 3663.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 - 10. Suppose -4*y + 60 = -k, 4*y + o*k + 14 - 58 = 0. Let z = 32 - 6. Calculate the remainder when z is divided by y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0387611381 rounded to 5 dps?\nAnswer: -0.03876","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 51*u - 819. Does 50 divide j(46)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7.15 - 0.1\nAnswer: -7.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -687\/13 + 53. Put -3, w, 3\/7 in decreasing order.\nAnswer: 3\/7, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 13824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1036318 - 34?\nAnswer: -1036353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 11\/((-77)\/(-826)) - -3. Calculate the highest common factor of 11 and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2321211431 (base 5) to base 10\nAnswer: -5257116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 - -9. Suppose 4*v - 1 = p*v. Put v, 2, 3 in increasing order.\nAnswer: v, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = p - 11. Let o be (-90)\/p - 1\/(-4). Differentiate 0*c + o + 3*c + 3*c with respect to c.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 - 2*k**2 - 10*k + 6. Let h be o(4). Put h, 0.1, 0.5, 2\/43 in decreasing order.\nAnswer: 0.5, 0.1, 2\/43, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 13 (b) 2\/7 (c) -237 (d) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1bc53 (base 13) in base 12?\nAnswer: -27888","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13123 + 13132. Solve 5*c - 25 = 3*n, 18 = -c + 5*n - s*n for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/(-84))\/(49\/(-196))?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -44090000 to the nearest one million.\nAnswer: -44000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t + 10. Let p be o(-8). Suppose 1 = -p*s - g, 2*g = -2 - 8. Let l(j) = 6*j**2 - j - 1. What is the tens digit of l(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -111, 5, -0.19 in ascending order.\nAnswer: -111, -0.19, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (19 + -18)\/((-4)\/((-8)\/15))?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*w + 5*o = -20*w + 43227, -3*o - 86415 = -4*w. Is w a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2650545 to one decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - 2. Suppose -m*l + 5*l + 244 = 0. Find the common denominator of (l\/(-24))\/(6\/9) and 1\/20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -325 + 141. Let f = 184 + k. Which is the nearest to f? (a) -0.4 (b) -2 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 745927 - 745928 - 2*t - 30*t**2 - 37*t**2.\nAnswer: -67*t**2 - 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 126596\/7 - 10\/((-840)\/(-12))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 17*p + 39. Let g be f(-2). Differentiate -80 - g*v**4 + 6*v - 19*v + 6*v + 14*v wrt v.\nAnswer: -20*v**3 + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -160*k + 84*k + 3*k**2 + 76*k - 2*k**2.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 (base 6) in base 7?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, z: 1, i: 4, g: 3}. What is prob of sequence zgm?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2\/23, -33\/19, -3, 2\/5?\nAnswer: -33\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/260 and -9\/1235.\nAnswer: 4940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 + -11 + 2 + -1. Let q be 6\/(-4)*f\/(-33). Do -1\/2 and q have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 29 - 40. Let l be (-84)\/(-22) - 2\/p. Let r be 2\/6 - 1\/1. What is the biggest value in r, l, -0.3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 27*z**3 - 302*z**2 - 138443*z wrt z.\nAnswer: 162*z - 604","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2562258, 2562268, 2562278, 2562288?\n\"Answer: 10*j + 2562248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of -18*b**6 - 17*b**3 + 82. What is the third derivative of t(k) wrt k?\nAnswer: -6480*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2.36 < 1\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/5)\/k*k**1)\/((((k**(-1)*k)\/k)\/k)\/k**(-4)) assuming k is positive.\nAnswer: k**(-8\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (680\/(-8432))\/((-10)\/(-8))?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18523 - -444473\/24. Find the common denominator of v and -59\/22.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12979 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11200 and 28350?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7786492789 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 4) in base 16?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(-4))**(-29))**42 assuming i is positive.\nAnswer: i**(-6090)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jzjz when four letters picked without replacement from rzzjtjjrbttjtttjtrj.\nAnswer: 5\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29, 3, -1, 2727 in increasing order.\nAnswer: -1, 3, 29, 2727","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -485*s - 119 = -502*s. Solve s*o - 4 = 11*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 - 9*m**2 + 11*m + 5. Let v(j) = j**3 - 2*j**3 + 4*j**2 - 70 + 3*j + 66. Let a be v(4). What is z(a)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 83238?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 226.8262 to one dp.\nAnswer: 226.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhvhhhvhhhhhhhvhhv. What is prob of picking 1 v and 2 h?\nAnswer: 140\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 7 = 23, 14 = -2*f - 5*p. Let m(y) = 2102*y - 6. Let n be m(f). Suppose 8*v - 3*v = -n. Round v to the nearest 100.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8488614 divided by 8488614.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*g**3*n**2*s**3 - 355*g**3*n**2 - 57*g*n*s**2 + 6*n**2*s**3 - 3*n**2*s**2 wrt g?\nAnswer: 54*g*n**2*s**3 - 2130*g*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6804 - 13416. Suppose m + y + 1 = -1, 4*y + 22 = 3*m. Is (9\/(-27))\/(2\/b*m) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 18749, 18762, 18775, 18788?\n\"Answer: 13*r + 18736","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - -4. Suppose 2*k - 5*s + 1 = 6, -5*k - b*s + 28 = 0. Suppose 4*j = -d + 3*j + 1, 3*d = k*j - 5. Is d at most as big as 5\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4\/63 (b) -1\/5 (c) -82 (d) -2 (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11745 is divided by 3456.\nAnswer: 1377","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2324626\/11 + -211328. Determine x, given that -18\/11*x**5 + 18\/11*x**4 - h*x**2 + 26\/11*x**3 + 0 - 8\/11*x = 0.\nAnswer: -1, -1\/3, 0, 1, 4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 2*s + 222 = 0. Let n(w) = -19*w**3 + 3*w**2 + 3*w. Let t be n(-2). Let m = t - s. What are the prime factors of m?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101101 + -1101?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27944 and 112.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 AM and 8:17 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 107*a**4*m - 3*a**4 - 465*m wrt a?\nAnswer: 428*a**3*m - 12*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - 0 - -13) + (0 + -21 - 39)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2301001 (base 5) to base 13.\nAnswer: -15719","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**2 + 141*h + 1439. Let r be y(149). Calculate the greatest common divisor of 1349 and r.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 20 = -4*g, 2*g = -4*p + 3*g + 65. Let t = p + -13. Differentiate 8 + 7*u**t - 5 - 1 + 6 wrt u.\nAnswer: 21*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 2*h = 5 - 15, 6716*h - 25 = 4*v + 6721*h for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12*j**2*p**2 - 5*j**2*p - 1372*j**2 - 2*p**2 wrt p.\nAnswer: 24*j**2*p - 5*j**2 - 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + ((-12)\/11 - -1). Do x and -2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n**2 + n - n + (-1 + 0 - 1)*(-12 + 12 + 3*n**2).\nAnswer: -8*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*l = -3 - 27. Suppose l = 22*i - 21*i. Calculate the remainder when i is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 235, 948, 2137, 3802, 5943?\n\"Answer: 238*h**2 - h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - 2.1. Let l = 0.2 + d. What is the nearest to l in 3, -5\/6, -4?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of -w**2 - 9*w + 761. Suppose 5*u - 11 - 4 = 0. Suppose -2*d - 35 = u*d. Calculate c(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1272426.94 to the nearest one hundred thousand.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-1*sqrt(121)*-4 + sqrt(121) + sqrt(121))\/((sqrt(121)*-4)\/sqrt(11)))**2.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*c - 21*c + 226. Let k = c - -23. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6814 + 6816. Sort o, -26, -6 in descending order.\nAnswer: o, -6, -26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -386\/7 + 892\/21. Find the common denominator of 77\/8 and u.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75250879 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + 0. Let c(x) = x**2 + 3*x + 4. Calculate c(a).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -2*a. Let w be (-2)\/10 + 1\/5. Suppose w = -5*f + 2*f + 6. Let p(m) = -4*m**f + 6*m**2 - 3*m**2. What is j(p(t))?\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 - -6. Let c = w + -3. What is the remainder when (10\/3)\/(-5)*-99 is divided by c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/21*-422 - (-2)\/7. Let m be (20\/6)\/((-40)\/h). Solve -m*x = z, 3*z = -0*x - x - 14 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1287\/10 or -129?\nAnswer: -129","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -43 - (-9 - 51 - -30).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 33\/35116006 at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -35495.71 - -35494. What is the nearest to 6 in 1\/2, 5, r, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**5\/5 - 8*g**4\/5 - 24*g**3\/5 - 34*g**2\/5 - 23*g\/5 - 6\/5.\nAnswer: -(g + 1)**3*(g + 2)*(g + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**5\/3 + 176900*b**4\/3 - 353792*b**3\/3.\nAnswer: -2*b**3*(b - 88448)*(b - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2572073, 2572076, 2572081, 2572088, 2572097, 2572108, 2572121?\n\"Answer: z**2 + 2572072","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**2)**(15\/2))**(3\/19))**(1\/16) assuming l is positive.\nAnswer: l**(45\/304)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 31859.6 rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -215 - -214. What is the second smallest value in -0.2, d, -1.6?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -782153 rounded to the nearest 100000?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -168*z**3 - 4*z**2 - 1286*z + 6. Let n(t) = -170*t**3 - 4*t**2 - 1282*t + 7. Let a(j) = -7*h(j) + 6*n(j). Find the second derivative of a(u) wrt u.\nAnswer: 936*u + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a century in years?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 41 + -43. Let d be 2*1\/l + 9 + -5. Let i(k) = 8*k + 10. Calculate the least common multiple of i(d) and 6.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dlydzdyldiyyxydxdxyl. What is prob of picking 1 y, 2 x, and 1 d?\nAnswer: 36\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 224103?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 2*k - 12. Let u(o) = 5*o - 35. Let y be 13\/39 + (5 - (-28)\/(-3)). What is y*u(w) + 11*s(w)?\nAnswer: 2*w + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 323 and 306.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 223442.\nAnswer: 2, 111721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 502?\nAnswer: 2, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/13*(-4056)\/624?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18 - 9. Let h be 3\/(-9) + (-6)\/g. Calculate the smallest common multiple of 50\/6 + h\/3 and 12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(121)*5 - ((sqrt(121) + sqrt(121)*5 + sqrt(121))*4 + sqrt(121)))\/(6*(sqrt(1331) - (sqrt(1331) - -4*(sqrt(1331) + sqrt(1331)*-4) - sqrt(1331)))).\nAnswer: -2*sqrt(11)\/429","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2289349 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32, 23, 0, -2, -1 in increasing order.\nAnswer: -32, -2, -1, 0, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.014 (b) 3\/113 (c) -1\/2 (d) 23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 74672 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 3*y**3 + 7*y**2 + 5*y + 2. Let f be j(-5). Let n = f + 363. Is 35 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 538 a factor of 200525?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from {u: 4, g: 5, y: 3}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/v**(-6)*v))\/(v*v\/v**8)*(v**(-1\/4))**1)**35 assuming v is positive.\nAnswer: v**(-175\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzznzzzzzzzzzzzzn. Give prob of sequence nz.\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 80195?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 9\/((-81)\/(-12)) - 2. What is the biggest value in -4, 0.3, a?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 12 = 3*f. Solve f*z = 3*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -74440 in 5, -2\/3, 8, 0, 2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -194992*n**2 + 1559938*n - 16 = 0 for n.\nAnswer: 1\/97496, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 - 7*k**2 + 10*k - 1. Let a be v(5). Let w(d) = 1. Let y(g) = -6*g + 42. Let p(i) = -126*w(i) + 3*y(i). Determine p(a).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*k - 97 + 89 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -341114737*h + 170557352*h + 3 + 170557385*h + 2*h**3 - 3.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4147 + 251242?\nAnswer: 245073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 112784 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hzizfzahiwaffiaf. Give prob of picking 2 h and 1 f.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 870 and 1299900.\nAnswer: 37697100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/287 at most as big as -2158?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 18 = -2*d, -3*d + 0 - 3 = 0. Let u(q) = -15 + 258*q - 261*q - b*q**3 + 2. Calculate the remainder when u(-3) is divided by 37.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.1874 - 4.99. Let n = 95.9364 + -96. Let h = r - n. Round h to 2 dps.\nAnswer: 0.26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + -6. Let c = d - -4.5. Sort c, -3, -0.04.\nAnswer: -3, -0.04, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41656432578352 + 0.3.\nAnswer: -41656432578351.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 9 = 3*w, 5*s + 5*w + 39 = 44 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.1 and -740625898.5104.\nAnswer: -740625898.4104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.149019 rounded to 3 dps?\nAnswer: 1.149","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2618335 and -0.1?\nAnswer: -261833.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 194 + -14. Let z = 3323 + -3321. Let p be 5\/i - z\/(-9). Which is smaller: p or 4\/13?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 69 + -67. Let m(f) be the second derivative of 2\/27*f**3 - 4*f + 1\/90*f**5 + 0*f**o + 1\/18*f**4 + 0. Factor m(v).\nAnswer: 2*v*(v + 1)*(v + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -265706, -265658, -265598, -265520, -265418, -265286, -265118?\nAnswer: -264908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 + 2*r + 2. Suppose 0*q - 5*q + 1875 = 0. Suppose 376*c - q*c + 5 = 0. Determine x(c).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 52 + 32 + (-2 - 38) - (7 + 1 + -3)\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -7*h + 440. What is the tens digit of (32\/(-5))\/((-11)\/h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 - 2*w**2 + 4. Suppose 0*u = 2*u. Let d be h(u). Solve j + 2 = n, -2*j + j + 3 = d*n for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o and 1 f when four letters picked without replacement from {o: 5, f: 14, a: 1}.\nAnswer: 28\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k - 10. Let n be c(-19). Suppose 0 = -2*q - 8, -3*g - 2*g + 13 = -2*q. What is the highest common factor of n and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/14 and -115\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.447 - 0.247. Suppose j + 4 = 3*w + 8, 0 = -w + 2*j + 7. What is the smallest value in -4, 1, o, w?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-56*f + 123 - 3*f - 105)*(f - 2 - 6*f + f) to a + q*f**2 + r*f and give q.\nAnswer: 236","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -69 + 74. Suppose 0 = 5*f - b*r - 1735, -3*f + 178 = -4*r - 866. What are the prime factors of f?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2658 - -2657.9. Is 1584 at most i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 45 or 5?\nAnswer: 45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-2\/5)*z**2*z**(-4\/3)*z**7*(z**(-5)*z*(z**(-3)*z*z)\/z)\/((z\/(z*z\/(z\/(z\/((z*z**(7\/3))\/z))))*z*z)\/(((z**(2\/5)*z)\/z)\/z)) assuming z is positive.\nAnswer: z**(-8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -869 - -8763\/10. Suppose 14*z - 13*z = 18. What is the common denominator of ((-23)\/z)\/((-4)\/30) and u?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4831 is divided by 1544.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 484\/217 - 16\/31. Let m(u) be the first derivative of 1\/14*u**4 + 16\/7*u + n*u**2 + 6 + 4\/7*u**3. Determine o so that m(o) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 - 20*y**2 + 26*y - 6. What is the units digit of i(19)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -10*m**5 - 6*m**4 + 14*m**3 + 6*m**2 - 4*m = 0.\nAnswer: -1, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of n**4\/2 - 3*n**3 + 3*n**2\/2 + n - 234. Determine c(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 98*l**2\/3 - 45280*l\/9 + 616\/9 = 0.\nAnswer: 2\/147, 154","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-1 + 3*1). Let x(c) = c**3 + 17*c**2 + 16*c + 10. Let d be x(-16). Suppose y = -3*q + d. Solve -2*i + q - 1 = -2*k, -5*k - 32 = 4*i for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14785000 rounded to the nearest 100000?\nAnswer: 14800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.7? (a) 0.1 (b) 1 (c) 1\/2 (d) -149\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -2*x**2 - 882*x + 76409. Determine v(74).\nAnswer: 189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 246\/30 - (-8)\/(-1). What is the nearest to g in -4, -14, -3, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a millisecond in microseconds?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and -653146.\nAnswer: -326573","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let y be (((-324)\/8)\/3)\/((-5)\/50). Solve x - y = 28*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 2*v**2 + 2*v + 3. Let d(t) = -t**2 - t - 1. Suppose 0 = -f + u + 1, 2*f - 2*u = -6*u - 22. Suppose 35 = -5*c - 0*c. Calculate c*d(z) + f*s(z).\nAnswer: z**2 + z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21185 and 95.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 714088?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, m: 8}. Give prob of sequence mkm.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5156 - 5164. Sort d, -0.04, 0.05.\nAnswer: d, -0.04, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(441))\/sqrt(3) + 2 + sqrt(243) + sqrt(300)*-2.\nAnswer: 2 + 31*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3822*u + 2846*u - 2206*u - 2744*u to q + p*u and give p.\nAnswer: -5926","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 179 + -177. Let i(y) = y**3 + 13*y**2 + y - 15. Let z be i(-13). Let m be z\/24 + 0\/(-3). Which is the second biggest value? (a) 3 (b) n (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7.7 in -5, 469, -1.9, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1307 at most -1307?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + -3 + (5 + 5 - 30).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-60)\/8*1376\/(-24). Let m = k - 421. Solve -d = m - 11 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 0*t = -8, 4*n + 3*t = 4. Is -2 greater than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 50*n**5 + 20*n**4 - 128*n**3 + 64*n**2.\nAnswer: 2*n**2*(n + 2)*(5*n - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-4)*35\/(-70).\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 25 = -10 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21882, 87684, 197352, 350886, 548286, 789552, 1074684?\nAnswer: 1403682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -12*k*s**3 - 10*k*s - 4*k + 13 wrt s.\nAnswer: -36*k*s**2 - 10*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12*t**3*w - 17*t**3 - 5*t**2*w - 314*t**2 + 1416*t + w - 1377 wrt t?\nAnswer: 72*t*w - 102*t - 10*w - 628","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 - 9*x + 3*x + 0*x + 2 to the form q*x + v and give v.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 53 = -3*p, -5*w - 22*p - 60 = -27*p for w.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p - p + 3*p)*(-3 + 0 + 2) + p + 0*p + p + (-2*p + 0*p + 0*p)*(-5 + 1 + 2) - 3*p - 3*p + 0*p.\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 41 and 23083.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x**3 - 49*x**2 - 25*x + 30. Let r be b(25). Suppose -v - 2*m + 17 = 0, -2*m + 3*m + 14 = v. Let y = v + -10. Solve -r = y*n - 5 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3537813 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 PM and 3:07 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, 0, -11, -14.\nAnswer: -14, -11, -2\/3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (5\/(-3) + 2)\/(-1). Let c = -300.5 + 300. Put c, -2, t in descending order.\nAnswer: t, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 0 - 3)*(0*w + 0*w + 2*w) + 9 + 14*w - 9 + 3*w - 9*w - 6*w + (-3 + 4 - 3)*(-w + 0*w - w) as n*w + a and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3393*m - 18791*m - 14443*m.\nAnswer: -36627*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 3*o, 4*b - 5*o - 4 + 48 = 0. What is the units digit of -2 + b + 6 + 252?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 516063 - -0.01\nAnswer: 516063.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and -77.01137?\nAnswer: 30.804548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**2 + l - 1. Let j(o) = -6*o**2 - 16*o - 4. Determine -j(a) + 4*k(a).\nAnswer: 2*a**2 + 20*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 2*u**2 + 60\/13*u + 2\/13*u**3.\nAnswer: 2*u*(u - 10)*(u - 3)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -3*d + 5*h + 281, 5*d - 462 = 2*h. Suppose -3*t + d = 4*x, 3*t - 6*x = -x + 101. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 5*m + 38 = 5*u, m + 10 = u. Suppose j - u = -0*j + 2*b, 0 = 4*j - 5*b - 18. Solve 0*r = -j*r - 2*k + 4, -2*r - 21 = -3*k for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2585587 to the power of 1\/3, to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oossmsslssmsssssfsss. Give prob of picking 3 s.\nAnswer: 91\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77.8179 days to nanoseconds.\nAnswer: 6723466560000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 PM and 5:12 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*(c\/(c**16\/c))\/c)\/(c*c\/(c*c**(-18))))\/(c**(-23)\/(((c*c**23)\/c*c)\/c)) assuming c is positive.\nAnswer: c**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 - 8*s + 12. Let x(u) = u**2 + 7*u - 11. Let l(i) = 4*c(i) + 5*x(i). Let v be l(5). Suppose v = 3*y - 0*y. Is y a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 442*i**2 - 30*i + 144. Is 84 a factor of z(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5363.\nAnswer: 31, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1905 + 1905 - 2781*w**2.\nAnswer: -2781*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 274675698.\nAnswer: 2, 3, 11, 17, 9067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 13 = 5*i, 2*i - 4*i - 2 = 0. Let a = -3 + o. Solve -k - 1 = 2*j, 4*k + a*j - 10 = -k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vxmmmmmmymmmymmxmiim. Give prob of picking 2 x and 1 m.\nAnswer: 13\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -132, -162, -192?\nAnswer: -222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -m - 3*m + 54, -27 = -3*m - 3*i. Suppose -m = -5*z + 3. Let y(n) = 6*n**2 - n. Is y(z) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -3*f + 2*f + 3*w, -3*f = 4*w - 72. Suppose 28*s + 1211 - 371 = 0. Is 68 + (f\/10 - (-12)\/s) a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9973\/4 - 2802415\/1124. Let q = -86365\/12 - -7192. Calculate the common denominator of s and q.\nAnswer: 3372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12764 - 12729. Let y(z) = -z**2 + 36*z - 20. Give y(x).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9828424.\nAnswer: 2, 43, 28571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2*n**2 - 3*n - 1. Let s be m(-2). Let u = s - -5. Let q(f) = 18*f - 195. Let x be q(11). Solve -u*w = -x - 1 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 56345?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100111001001 (base 2) to base 14.\nAnswer: -cad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -8 divided by 12974740\nAnswer: -2\/3243685","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 - 366*u - 27 + 250 - 268*u - 210.\nAnswer: -634*u + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z**3\/13 - 88*z**2\/13 - 278*z\/13 - 188\/13 = 0.\nAnswer: -2, -1, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -277 + 0*w**4 - 2*w**3 - 2*w + 282 + w**2 - w**4 as j*w**4 + b*w**3 + p + h*w + u*w**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 13825?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3997 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 166718082 to the nearest integer?\nAnswer: 12912","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/((-10)\/(-25)) + 971. Suppose a = 8*a - m. Calculate the remainder when a is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, 5, 8, 11, 14, 17?\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 48 and 264.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 215 - 212.605. Round y to one decimal place.\nAnswer: 2.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 5*u = -30, 2*a + 5*u = 4*a - 9 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 4*d - 92 = 0. Does 23 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -3*x**2 + 30*x + 8. What is the smallest common multiple of 16 and q(10)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 3*t - 3. Let i be r(1). Suppose 1 = -g - i*g - 2*x, -2*g = x - 7. Suppose -4*n = 2*u - 8, -5*n + 48 = g*u - 2*n. Is 12 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 257 divide 162681?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.0823925 - -0.7575465. Let l = 0.84 - b. Round l to 5 dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 PM and 9:29 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2 + 3*i + 3. Let w be z(3). Suppose 3*g - 2*g - 2 = 0, -w*d - 4*g = -14. What is the highest common divisor of d and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 1)*(-3294 + 3294 + 293*w)*(w**3 - 3*w**3 + 0*w**3).\nAnswer: 586*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -90 + 89.7. Let z = 212 - 214. What is the third biggest value in w, z, 0.3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/654 and 17\/38?\nAnswer: 12426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 89426 (base 15) to base 16.\nAnswer: 6a857","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -15 - 1?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 9*x. Suppose x = -4*l + 4*d + 8, 5*l - 4*d = 2*l + 7. Is 1\/14 greater than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 361689570 and 361689570 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 1230?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/17, 3, -2\/249?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in five quarters of a century?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/5)*t)**(-29)*(t**(-2)\/t)\/(t*t*t**(1\/7)*t*t*t) assuming t is positive.\nAnswer: t**(-1706\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1698 and -0.14921.\nAnswer: -253.35858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum 6993612 and -109320575.\nAnswer: -102326963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 48664 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 9*w - 6. Let h be (-38)\/(-2) - (-3 - (-5 - 0)). Let i be h - 6\/(-2)*w. Solve -6*d - 10 = -3*b - d, b + i = -3*d for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3057766801 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 81\/171712 (b) -10 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1091*b + 26*b + 997*b - 26961 = 8977 for b.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 962152?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 4, i: 6}. Give prob of picking 1 i and 2 y.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < 215\/9661?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.03 in -116\/19, 0, -1\/4, -1\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 35 - 43, -2*r + 52 = 2*j. Which is bigger: 143\/5 or r?\nAnswer: 143\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, -7781, 5, -62, -4.\nAnswer: -7781, -62, -4, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-3))\/((-10)\/(-70))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide 29473?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -592 - -780. Does 37 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*a + 24 = -23*a. What is the second derivative of 73 + 13*i - a*i**3 - 73 wrt i?\nAnswer: -144*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -3\/7, 0.4, 9, -304 in decreasing order.\nAnswer: 9, 0.4, -3\/7, -3, -304","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-3)\/35)\/((-4)\/20). Let z = -4 - -7. Let x = -1 + z. What is the nearest to 1 in o, 0.3, x?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of -a**5\/20 + a**4\/8 + a**3\/4 - a**2 + a - 35. Find p such that d(p) = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**6*(u*(u*u**(-2\/7))\/u*u*u*u)\/u**(4\/3))\/(u**(-5\/2)\/u**(-6\/7)) assuming u is positive.\nAnswer: u**(421\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4 - (12\/(-15) + (-551)\/5) is divided by 63?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1209871?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 60 and 61470.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9118*t - 3464*t - 5634*t.\nAnswer: 20*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 763416 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 + y - 8. Let c be -4*(1 - 8\/4). List the prime factors of z(c).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -2*m**2 - 176*m. Let w(g) = -2*g**2. Calculate l(w(u)).\nAnswer: -8*u**4 + 352*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7\/(-42) + 386\/12. Solve 5 = 37*h - i*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.178 + -445.822. Let k = o - -446.0000465. Round k to five decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, t: 11}. What is prob of picking 2 t and 2 v?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - y + 5246 = 0, -2*n - 3*y = -1700 - 1788. What are the prime factors of n?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + l + 14 = -3, 5*p - 5*l = 45 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 120 - 233\/2. Let m = 161 - 643\/4. Which is the nearest to -1\/3? (a) -3 (b) t (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -43*n + 1906. Is 53 a factor of u(-40)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1320 and 1306904?\nAnswer: 215639160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 40924109 to the nearest integer?\nAnswer: 6397","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.67 * 3.606689.\nAnswer: -9.62985963","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 + 6. Suppose -5*z + 3 = f, -5*z + 12 = 4*f - t. Suppose z = -7*p + 3*p + 24. Is p a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(96) + sqrt(96)*-2)\/sqrt(8))\/(2*sqrt(4)*-6) - (sqrt(1296) + sqrt(1296)*2)\/(-4*sqrt(192)).\nAnswer: 29*sqrt(3)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -25*u**3 - 2*u**2 - 3*u + 1. Let t(p) = -p**3 - p. Let r(s) = -3*t(s) + z(s). Let h be (1 - (0 - 0))\/(8 + -9). What is r(h)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 736*s**5\/3 - 27356*s**4 + 794590*s**3\/3 - 456900*s**2 - 884606*s\/3 + 1616 = 0.\nAnswer: -1\/2, 1\/184, 3, 8, 101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -56 + 15?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 222 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.02 - -0.02. Let o = 0.14 + 0.06. Let i be (-8)\/6*(-2)\/12. What is the closest to r in o, i, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 178*f**3 + 33*f - 9. Let x(m) = 61*m**3 + 11*m - 3. Give -4*d(j) + 11*x(j).\nAnswer: -41*j**3 - 11*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 PM and 11:43 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 322a (base 13) to base 9.\nAnswer: 10488","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*x + 5 + 7 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68) + (-5 + (sqrt(68) - (sqrt(68) - (sqrt(68) + 0))) - sqrt(68)).\nAnswer: -5 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/(((i\/(i\/(i*i**17)*i)*i*i)\/i)\/i)*i**12\/i*i\/(i*i**(-13\/6))*i*i*i**7*i*i assuming i is positive.\nAnswer: i**(49\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 928667\/2 not equal to 464335?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 2*o + 2*m + 388714, 4*o = 2*m - 777444. Let u = -257224 + 367584. Let r = o + u. What is r rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 5:03 PM?\nAnswer: 3:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -2*f**3 - 3*f**2 + 5*f + 6. Suppose 0 = b + b + 8. Is o(b) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1428488?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 2 p when four letters picked without replacement from lyyppylpp.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (16 + -1)\/5 + 28. Suppose u + 7 = -3*c - 2*c, -s = 3*u + 5*c. Let z be (u\/(-27))\/((-4)\/(-18)). Solve -4*g - 5 = 5*o + g, -4*o = z*g + 8 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/((a*a**(-3))\/a)*a)\/a**(2\/7))**47*((a*a\/a**(1\/5))\/a)**(5\/8)\/(a**(1\/4))**35 assuming a is positive.\nAnswer: a**(5973\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 10835346?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.25963456 to 3 decimal places.\nAnswer: -0.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 538*d**3*g**3*j**2 + d**3*g*j + 109*d**2*g**2*j**2 - g**2 wrt g?\nAnswer: 3228*d**3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2417040511 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.879 - 0.121. Which is the nearest to 1\/3? (a) o (b) -0.2 (c) -12.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - (11 - 14)) + 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -9244 less than -9244?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/8 + (-6)\/(-8). Let w be 3\/2*((-713)\/62)\/(6\/8). Which is greater: m or w?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tmr when three letters picked without replacement from {h: 2, t: 2, m: 1, r: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7087999 to the nearest integer?\nAnswer: 2662","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -708196212 + -7370.\nAnswer: -708203582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 + 10. Factor 3*i - 3*i**4 - 5*i**n - 9*i**3 - 4*i**2 - 6*i.\nAnswer: -3*i*(i + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 35, 0.4, -0.2, 0.05, -3\/2?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -18*r + 15. Let p be s(-3). Let k = p + -67. Suppose 0 = -k*i + a + 272 + 38, 790 = 5*i + 5*a. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 - 8*t**2 + t + 2. Let v be w(-10). Find the first derivative of -v*s + 18 + 29 - 104 - 78 wrt s.\nAnswer: -192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -324.06 (b) -9\/5 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 48 - 2*q - 14*q.\nAnswer: -16*q - 52","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -25 - -32. Suppose -4*b = 79 - x. What is the remainder when (-6)\/(-4)*(-228)\/b is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4941306?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 + 8*k**2 + 6*k + 8. Let i be s(-7). Suppose 0*n - i = -5*n. Solve 7 = -3*j + g + 21, 0 = 5*j - n*g - 22 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -i + g - 9, i - 4 = -2*g. Let f be 7 + 0*i\/4. Solve 0 = f*s - 4*s + 12 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -947*a**2 + 323*a**2 + 313*a**2 + 312*a**2.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12242547 to the nearest integer?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, p: 11}. What is prob of sequence ppb?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15 + 27\/2. Let y = 0.22 + -1.22. What is the nearest to 2\/5 in 2, y, c?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21.42 - -22. Let p = t - -60.42. Let q = -61.4 + p. Sort 6, -3, q.\nAnswer: -3, q, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 332.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -95970*f**6 + 5095*f**2 + 3 wrt f?\nAnswer: -11516400*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -u + 5*i - 16, 0 = 4*u + i. Let y(k) = -k**3 + k**2. Let q(x) = -7*x**3 + 5*x**2 + 1. What is u*q(n) + 5*y(n)?\nAnswer: 2*n**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*k + 9 = -18*k - 21. Solve k*g + 3*a = 21, -g + 4*a - 11 = 6 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6564*b*f - 4813*b wrt f?\nAnswer: -6564*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does -2\/11 = -18.20695?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 359 is divided by 63?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (-70 - 14)*(-504)\/32 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 144879.\nAnswer: 3, 7, 6899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 951.22 - 0.22. Let w = 950.999996018 - h. Round w to seven decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -97227*y + 118496 wrt y.\nAnswer: -97227","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of -13*g**4\/12 - 21*g. Calculate l(-1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 295789 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (-5 + 5 - 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 + 13*l**2 - l - 26. Let u be i(-13). What is the fourth smallest value in -0.3, 1, u, 1\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -33 - -36. Let o = 3 - -8. Suppose -b*k + 10 = -o. Does 2 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 264896.8 to the nearest 100.\nAnswer: 264900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -408 divided by -5\nAnswer: 408\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 138659 and 313.\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -81294\/7 + 11613. Sort 6\/31, 3, 0.5, w in descending order.\nAnswer: 3, 0.5, 6\/31, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1843, 2143, 2635, 3313, 4171, 5203?\n\"Answer: -p**3 + 102*p**2 + p + 1741","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -8*t**2 + 386*t + 33. Let u(k) = -3*k**2 + 129*k + 12. Give 4*i(b) - 11*u(b).\nAnswer: b**2 + 125*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 236355 + 313684. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 y, and 1 r when three letters picked without replacement from {c: 1, o: 1, r: 1, l: 2, y: 1, i: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 130 is divided by 50?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u + 21. Calculate the remainder when t(-12) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 PM and 9:05 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/28)\/(13 + 27\/(-2))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10000100011010100 (base 2) to base 11.\nAnswer: 46a33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (59324 - 1303*r - 59324)*(-3*r**3 + r**3 - 3*r**3) to y + b*r**3 + q*r + g*r**4 + w*r**2 and give g.\nAnswer: 6515","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 369 - 369 + 12625*v**3.\nAnswer: 12625*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -11675 + -4?\nAnswer: -11701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*h + 26*h = 13*h + 230 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/480 and -7\/200.\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*h**2\/7 - 50220*h\/7 - 251250\/7.\nAnswer: 6*(h - 8375)*(h + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 l when two letters picked without replacement from {j: 7, l: 9, y: 2}.\nAnswer: 7\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 - 5*f + 4. Let i = 0 - 6. Let t be n(i). Let z be (t\/(-6))\/(7\/651). Calculate the greatest common divisor of 279 and z.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -4*v**2 - 961615 + 961615. Let q(t) = 25*t + 12. What is z(q(f))?\nAnswer: -2500*f**2 - 2400*f - 576","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*g + 1690 = 44*g - 127 for g.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 756352141 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 17459604 at most 17459606?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33726, 66977, 100228, 133479, 166730, 199981?\nAnswer: 233232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.142 times -0.04\nAnswer: 0.00568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*h**4 + 462*h**3 - 1076*h**2 + 240*h.\nAnswer: 2*h*(h - 2)*(h + 60)*(4*h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of (-4)\/((-60)\/(-9))*15470\/(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 539943432 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of -t**4\/4 - t**3 + 3*t**2\/2 + 3*t - 987. Determine w(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -173.8 - -163. Let b = 62146637.80000352 + -62146627. Let v = a + b. What is v rounded to 7 dps?\nAnswer: 0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 + 9*b**2 + 3*b - 3. Let x = 1 + -6. Let f be 3\/x - 86\/(-10). Is g(f) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r**5 + 92*r**4 - 616*r**3 - 10964*r**2 + 36618*r + 46872 = 0.\nAnswer: -9, -1, 4, 21, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 95\/108306 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**2)\/((p\/p**(-7))\/p))**24*(p\/(p**(1\/3)*p))**(-44)\/(p**(-1\/2)\/p*p*p**0\/p) assuming p is positive.\nAnswer: p**(-479\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 2*j**4 - 362040*j**3 - 50*j**2 + 9051000*j = 0.\nAnswer: -5, 0, 5, 181020","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 128255640917 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, 6654372 in descending order.\nAnswer: 6654372, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum -373836.308783 and -0.4.\nAnswer: -373836.708783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o = -664 + 679, 6 = -5*a + 3*o for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/((-7)\/((-385)\/(-44)))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1285083?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/30546 and -109\/20364.\nAnswer: 61092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12179140 and 26794108.\nAnswer: 133970540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1627 divided by 187.\nAnswer: -1627\/187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -3*i**3 - 27*i**2 - 45*i + 75 = 0?\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 5*k + 249. Let p = k + 30. List the prime factors of p*((-2)\/(-3) - 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**2\/9 - 232*c\/3.\nAnswer: -4*c*(c + 174)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 387*j**2 + 6164*j + 5392. Calculate q(-15).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8413.777 micrograms to kilograms.\nAnswer: 0.000008413777","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 26*w - 190. Let s be l(8). Suppose -2*h + 17 = -19. What is the highest common factor of s and h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6 + 1 + -4)*1. Let x(f) be the second derivative of -1\/84*f**7 + 0*f**2 + 0*f**5 + 0 + 2*f + 0*f**l + 0*f**6 + 0*f**4. Factor x(d).\nAnswer: -d**5\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 + 8*o**2 - 4. Determine y(8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -856 (base 10) to base 13.\nAnswer: -50b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 0 (c) 1\/5 (d) -4 (e) -0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 - 30*d**2 + 34*d - 86. Let o be t(-31). Are o and -717\/4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 + 3 - (10 + -3)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.25 - 122.75. Let t = n - -123. Let q be ((-1)\/2*2)\/3. Which is the closest to q? (a) t (b) 4 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/114656295 or 1?\nAnswer: -2\/114656295","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19 - 16. Suppose -c*j = -j - 24. Suppose -6*f = -4*f - j. What is the remainder when 40 is divided by f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m = 11*m - 84. Let o be (-15)\/(-35) + (-3)\/(m\/(-20266)). Let p = -1005 + o. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (0 + 5*sqrt(637)*3)*-3 + -2 + -4)**2.\nAnswer: 6930*sqrt(13) + 1290046","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17 + 15. Is -3\/7 bigger than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(17) + sqrt(17))**2*-2 + sqrt(17) + sqrt(17) + -4.\nAnswer: -140 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**5 - 16*m**4 - 12*m**3 + 40*m**2 + 32*m.\nAnswer: 4*m*(m - 4)*(m - 2)*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -855*p + 860*p = -4*n + 60, 4*n - 24 = -2*p. Solve -19 = p*i - 31*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**0)**14)**(-1\/2)\/((f**(-2\/3))**(-22)*(f**(-1))**(3\/2)) assuming f is positive.\nAnswer: f**(-121\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - 2. Let p = r + -2. Let i(u) = u**2 + 1. Let w be i(p). Solve -w*j - 3*j + 5 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {t: 18, m: 2}?\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 2*g**2 - g**2 + 0*g**2 + g**2. Let n(a) be the second derivative of 0 + 2*a + 0*a**2 - 1\/3*a**3. Give v(n(z)).\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 14*t**2. Let x(v) = -10*v**2 + v - 2. Let p(l) = 13*l**2 + l - 2. Let u(c) = 3*p(c) - 3*x(c). What is u(a(d))?\nAnswer: 13524*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-18)\/5 + 4)\/((-4)\/(-100)). Suppose t - 9 = j. Solve -j = z - 6 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -39, -4\/43.\nAnswer: -39, -9, -4\/43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2, 9, -64?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 39 - 3 = 0. Let s = f + 17. Which is the biggest value? (a) 5\/4 (b) -1 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, a: 2, m: 1, w: 4, c: 3}. Give prob of sequence mca.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1098504 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l + 18 = 10*l. Calculate the greatest common divisor of 3 and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 + 29*l - 8. Determine v(-29).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 487?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - 2) + 136 + -131.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1622*h + 2689*h + 9663*h + 2471*h + 2266*h.\nAnswer: 15467*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from wiwwpqwwwazzqqiww?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 19, 4\/13, 184.34?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 970000 to the nearest one hundred thousand.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, 1614.\nAnswer: 1, 2, 1614","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -93039 - 882.\nAnswer: -93921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (1 - 9) - (-8 + -1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a day in hours?\nAnswer: 78","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y**5 - 5*y**5 + 4*y**5 + (3*y - 14*y - y)*(0*y**4 + 0*y**4 - y**4).\nAnswer: 9*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kgkkikkkkkkkigk. Give prob of picking 2 g.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -4131.04491 rounded to the nearest one hundred?\nAnswer: -4100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 404775667 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*p = 49387 - 49495 for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 137 + -210. Let v = -27 - o. Let g = 1 + v. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 63 = 3*h - 6*h, 4*h = 20. Solve -2*l - n = -0*l - 2*t, -5*l = 5*t + 10 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*v + 22*v - 455 = 0. Let q(x) = 5 - 3 + 11 + v + 2*x. Let g(m) = -2*m. What is g(q(w))?\nAnswer: -4*w - 52","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -15, 4.\nAnswer: -15, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/3530 or 0.077?\nAnswer: -1\/3530","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 35 - 35 + 4*m**2. Let c(y) be the third derivative of y**5\/60 - y**2. Calculate c(o(w)).\nAnswer: 16*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -4*a**5 - 12*a**4 + 8*a**3 + 160*a**2 - 312*a + 184. Let c(p) = p**5 - p**4 - p**3 - p + 1. Let b(x) = -8*c(x) - g(x). Find v, given that b(v) = 0.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-48)\/(-56) + (-4)\/7\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 22 = 5*g, -6*g = 4*l + 119 - 77 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03467 + -86020291?\nAnswer: -86020290.96533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + 12?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i + 4. Let g be j(-6). Suppose 0 = 3*m + 5 + g. Let q be m + 3 - (-14)\/2. Solve 0 = -s - s + 3*u - 5, -5*s + 25 = q*u for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (48\/(-40))\/((-1)\/(-5)). Let o = g + -1. Let w be ((-12)\/o)\/(2\/7). Calculate the highest common factor of 66 and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 630, 636, 638, 636, 630?\n\"Answer: -2*c**2 + 12*c + 620","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.5, 6 in increasing order.\nAnswer: 0.5, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.77 - -3.6. Let a = 4.17 + m. Let y be (-4)\/(-2)*(1 + (-60)\/57). Put a, y, 0 in ascending order.\nAnswer: y, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28513041 is divided by 55.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 55018 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = o - 18. What is the least common multiple of 10 and o?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyqdqqquyudqqdq. Give prob of picking 2 u.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 56 + -12. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 greater than -2\/1403?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37249, 37370, 37503, 37648, 37805, 37974, 38155?\nAnswer: 38348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1425?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.94723058 rounded to three dps?\nAnswer: 0.947","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3, 5, 1, 2 in descending order.\nAnswer: 5, 4, 3, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + ((5 + sqrt(432) + 1 - sqrt(432) - (sqrt(432) - (sqrt(432) - (sqrt(432) + (sqrt(432) + sqrt(432) + 4 - sqrt(432)))))*2)*4)**2)*4.\nAnswer: 12288*sqrt(3) + 442620","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 2*w**2 + 1. Let m be l(2). Is 24 a factor of (-6)\/m*3 + 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2 (b) 7 (c) 1\/5 (d) -4 (e) 5 (f) 1\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2*y**2 + 51*y + 77. Let m be x(-24). Suppose -z = -r + 238, 958 = -m*r + 9*r - z. Is r a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 - -17. Suppose c - n = u, -2 = -4*c + 14. Is 552 - (-2)\/2 - u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(-48)*28\/14.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - ((2 - 3) + 4 - -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 4952, 4949, 4952, 4967, 5000, 5057?\n\"Answer: v**3 - 3*v**2 - v + 4955","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.96 + 0.04. Which is the nearest to 1? (a) m (b) 2 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, p: 13, i: 2}. What is prob of sequence pu?\nAnswer: 13\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.047903 - 5?\nAnswer: -4.952097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3879)\/(-20790) + 2\/(-11). Let r(a) be the third derivative of 0*a**4 + i*a**7 + 0*a**3 - 3*a**2 + 0 + 1\/120*a**6 + 0*a + 0*a**5. Factor r(w).\nAnswer: w**3*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -29, 2 in decreasing order.\nAnswer: 2, 1, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 61055.00019 rounded to the nearest integer?\nAnswer: 61055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*y + 24*y - 3*u = -4*y - 64, -12*u = -2*y - 326 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2739434 rounded to the nearest 1000?\nAnswer: 2739000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 718 is divided by 281?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5.6 in 127, 51, -1\/24?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1113 (base 7) to base 13\nAnswer: -24c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 834 is divided by 92?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/50)\/((-4)\/(-10)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*v = 54*v - 2 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 20*w - 16. Calculate the least common multiple of ((-6)\/(-1))\/(9\/30) and s(3).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.01*-1.2\nAnswer: 0.012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert b4 (base 16) to base 5.\nAnswer: 1210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 + 30 = -13*s + 13 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(234) + sqrt(26))*3)\/sqrt(2) + 2.\nAnswer: 2 + 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8*-12*11\/264?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*s + 3*s, 4*s = -5*i - 37. Let n be 1\/(-3) + (-210)\/i + -3. What is the highest common divisor of 60 and n?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -810, -1559, -2312, -3069?\nAnswer: -3830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.0297 times 12?\nAnswer: -48.3564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1\/2 (b) -4 (c) 12 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1634.7 take away 344?\nAnswer: 1290.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 14) to base 5\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/117 and 55\/57.\nAnswer: 2223","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 61\/3 + (-10)\/(-15). Suppose -3*u = -6*u + v. What is the third derivative of u*n**2 + 2*n**3 + n - n - 6*n**2 wrt n?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 89244 - 113803.5. Round c to the nearest 100.\nAnswer: -24600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3962 bigger than 151?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -159201000 rounded to the nearest 100000?\nAnswer: -159200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*d**3 + 24*d**3 - 7*d**3 + 33*d**3.\nAnswer: 40*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 - 5*j**2 + 4*j**2 + 3*j**2 + 3*j**2 + 7. Let z be ((-10)\/4 - -2)*-10. Determine p(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -137 in -9\/7, -0.2, 0.5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 3*k**2\/8 + 4537035*k\/8 - 102086325\/4 = 0?\nAnswer: -1512390, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 29 and 156556993.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 249070946 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 6783625?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -85960, -170563, -255166, -339769?\n\"Answer: -84603*c - 1357","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1599 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 154.17 + -150.17. Which is the second biggest value? (a) p (b) -3 (c) 2\/21 (d) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1599367 by 5.\nAnswer: 1599367\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11397*i - 3 = 11399*i + x, -20 = 9*i - 2*x for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2703954799?\nAnswer: 7, 13, 4244827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - 4. Let y be 3*(-2)\/(-4 - -2). Suppose 0 = 3*s - 6, 336869 = -n*g - y*s - 953125. Round g to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 942 + 941?\nAnswer: 1883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -4*o - 1324 + 1324 + 107*o. Let r(h) = -2*h. What is v(r(w))?\nAnswer: -206*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/384 and -61\/4608.\nAnswer: 4608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83316*i = 15*p - 83320*i - 37 - 31, i - 14 = -4*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 180204.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 - ((4 - 2) + 6\/(-10)). Let -4\/5 - 4\/5*q + w*q**2 + 1\/5*q**4 + 4\/5*q**3 = 0. Calculate q.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 63 + -37. Suppose 5*o - 4*y - p - 53 = 0, -5*o = -3*y - 78. Calculate the least common multiple of o and (27\/4)\/((6\/(-16))\/((-24)\/16)).\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 s when two letters picked without replacement from {w: 2, d: 3, e: 6, s: 2}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 65?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1)*r\/(((r*r**11)\/r)\/r)*r)\/(r*r*r\/(r\/r**14)*(r\/r**(2\/15))\/r))**(-21\/4) assuming r is positive.\nAnswer: r**(2611\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide (-1161)\/(-2) + (-134)\/(-268)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -3*a + 6. Let r be d(5). Is (-8)\/36 - 209\/r a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of v**4\/4 + 3*v**3 - v**2 - 12*v - 181. Calculate f(-9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3*(-3)\/135)\/(5\/60)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 523686?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**3\/2 - 4069*x**2 - 339150*x - 7103628.\nAnswer: -(x + 42)**2*(x + 8054)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wxxxxwx. Give prob of sequence wxx.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18 - 6. Let z be 10\/(-15) - 16\/m. Solve z = 8*t - 15*t + 14 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z = 98*r - 193*r + 97*r + 5, 0 = 5*z - 5 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -2*u**3 - 146*u**2 + 190*u + 3332. Determine s(-74).\nAnswer: 224","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9115.474l in millilitres?\nAnswer: 9115474","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2336 and 51027?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of 2*f**3\/3 - 2. Let a(y) = 8*y. Determine r(a(i)).\nAnswer: 128*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8713858, 8713852, 8713846, 8713840, 8713834, 8713828?\nAnswer: 8713822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 - 36*t**2 - 60*t - 157. List the prime factors of b(-44).\nAnswer: 17971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, d: 3, o: 2, u: 5}. What is prob of sequence dodu?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(3\/99)\/1.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 672\/(-26) - (3 - (-296)\/(-104)). Do j and -25 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17\/164 + 7111\/1804. Find the common denominator of -1\/72 and s.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -234 - -134. Let b be (8\/g)\/((-8)\/10). What is the biggest value in b, -0.2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 68 (base 13) to base 6\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 2*y - 2. Let c be a(3). Let h(x) = 2*x - 11. Let f be ((-27)\/15)\/(1\/(-5)). Let k be h(f). Solve 3*n = k*n + c for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 314 = -m, 876 = 4*m + 3*w - 265. Sort 2, m, 0.\nAnswer: 0, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 298367?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -48060*b**4 + 400*b**3 - 386*b**2 + 52264*b wrt b?\nAnswer: -1153440*b + 2400","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.71, 6, -111\/7, -2, 39?\nAnswer: -111\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {x: 12, q: 1}.\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -p + 0 + 0 + (-2 - 3*p + 2)*(1 - 3 + 1) + 0*p + p - 2*p - 194*p + 244 - 339*p - 244 to u*p + k and give u.\nAnswer: -532","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - 2. Let p = -272 + 262. Let v be 3*1 + (p - d - -7). Solve 4 = -7*f + v*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3634 divided by -6\nAnswer: 1817\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -0*w + 4*w - 4*n, 4*n - 10 = 5*w. Suppose 13*q + 80 = w. Let g(p) = p**2 + 3*p - 14. What is g(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3419*g + 168 = -3398*g for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89 is divided by 4 + (4 - 3 - 7) - -9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1*2\/18)\/((-122)\/(-244))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4\/7 - -34\/35. Let n = -2 - -7. Let f = 3 - n. Which is the closest to o? (a) -1 (b) -3 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -807, -801, -795, -789?\n\"Answer: 6*q - 813","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -560631, -560623, -560615?\n\"Answer: 8*o - 560639","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 - 7*c**2 + 7*c. Let k be q(6). Let h(b) = -2*b - 4*b - 209*b**2 + 210*b**2. Calculate h(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/270)\/((-6)\/(60\/(-2)))?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 1436 divide 109569955?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 + 132*q**2 + 1332*q + 72. Give l(-121).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3 + -1)*(5 - 3). Factor 3 - 2*z**2 + z**3 + 1 - c.\nAnswer: z**2*(z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 - 44. Let h be (51\/g)\/(1\/(-10)). Solve -3*l + 15 = 5*y, -3*l - 2*l = 5*y - h for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 8) in base 10?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 - 107*j**2 - 1241*j - 50. Give x(-13).\nAnswer: 197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1227252*k**3*r**3 - k**2*r**3 - 72*k**2 - 8*k*r**3 + 3*k*r wrt k?\nAnswer: -7363512*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 495903911?\nAnswer: 409, 1212479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + 1. Is (0 - -52)*v\/6 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 + 17*v + 11. Let x be w(11). Let d = x - 71. What is the remainder when 27 is divided by d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 AM and 10:42 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 - -14. Let y(c) = 2*c - 5. Let d be y(n). Suppose d*g = 2*g - q + 30, 117 = 4*g + 3*q. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 3*f - 4. Let m be (-57)\/(-9) + f\/(-6). Solve 4*d + 2 - m = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 21336 and 21205 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 13 + -13 + -5 + 2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -23) + (50 - 152) + 145?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 95\/75092 != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*k = 6732 + 5868. What is the highest common divisor of k and 900?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*x - 18*x + 6062 = -m, 2*m - 1208 = -x. Is 12 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 + 12*g**2 + 250581*g + 2004396. What is s(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 240 and 573000.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 27953243?\nAnswer: -4\/27953243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 124026, 248050, 372074?\n\"Answer: 124024*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 - -30 - (8 + -1 + 9).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 - 11*a**2 + 10*a + 8. Let f = 29 + -19. Is 3 a factor of w(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*d**2 - 2*d**2 - 5*d**2 - d**4 + 3*d**3 - 12*d**2 - 2 to the form f*d**3 + h + p*d + x*d**4 + i*d**2 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 11) to base 12\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 0.07 (c) 0.24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101334022 (base 5) to base 16.\nAnswer: 660dc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2*1)\/(1\/(-11)). Let m = r + 62. What is the remainder when m is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-17)\/(-51) - 34\/18*-3. Let r(l) = 2*l**3 - 12*l**2 - l + 12. What is r(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22219015157 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Do -4\/111 and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -700*q + 10. Let v(w) = 280*w - 4. Calculate 5*j(x) + 12*v(x).\nAnswer: -140*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21 + 36. Suppose -53 + h = -2*t. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + 4*w - 43, 0 = -v + 4*w - 7*w + 6. What is the greatest common factor of 7 and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 - u**2 - 4*u + 8. Give r(-5).\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of 0*g + 0*g**3 + 0*g**4 + 9\/5*g**5 - 4*g**2 - 10. What is the second derivative of d(n) wrt n?\nAnswer: 108*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + h - 2*l + 14 = 0, -2*l = 2*h + 16. Let i be 5\/h + (-1)\/2. Let n = i + 4. Solve w - 1 - n = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -0.2, -1679, 4\/7, 0.1, 1.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 26980 and 22720?\nAnswer: 431680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 7. Let h = -15 - -10. Let i = h - -14. What is the highest common divisor of i and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 588120.736 to the nearest 100.\nAnswer: 588100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**2 + 11*c**2 - 9*c**2 + 74*c)*(-8*c + 12*c + 7*c).\nAnswer: 11*c**3 + 814*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.5, -0.1, -1, -1789, -2\/5, 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1957 + 3776 + 3297)*(2*x**5 - 3*x**5 + 0*x**5).\nAnswer: -5116*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 6 - ((-1 - 5) + 5 - -8)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -774 = -23*a + 4286. What is the hundreds digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 64*k**2 + 0 - 9 + 19*k + 9*k**2 + 0.\nAnswer: -55*k**2 + 19*k - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*r - 75 - 24. Let a(m) = 2*m**3 - 15*m**2 - 8*m - 22. What is the tens digit of a(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -40*u - 327. Let t(j) = -14*j - 109. Give -6*f(i) + 17*t(i).\nAnswer: 2*i + 109","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99266251.\nAnswer: 7, 3023, 4691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let a = 50 + -48. Let d(c) = -a*c - c + 10*c. Let f(q) be the first derivative of q**2 - 1. What is d(f(y))?\nAnswer: 14*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16254 and 14184?\nAnswer: 12808152","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10*(2 - 4\/(32\/12))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/((sqrt(44)*1)\/sqrt(4)).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -3*x**3 + 3*x**2 + 2*x - 2. Let a be ((-85)\/(-34))\/((-3)\/(6\/(-5))). Let d be g(a). Let b = 82 - 244\/3. Does b = d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4025329 rounded to 4 dps?\nAnswer: 0.4025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times -852?\nAnswer: -340.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 285.\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -89, -143, 2, 5, -5 in descending order.\nAnswer: 5, 2, -5, -89, -143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.4, 1\/2, 558, -0.1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5031769187 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5086 and 91548.\nAnswer: 91548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + l)*(0*l**2 + 4*l**2 + 2*l**2) + 5*l**3 - l**3 - 3*l**3.\nAnswer: 7*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -5*5*(5 + (1 + -3*sqrt(288) - sqrt(288))))**2 + 0.\nAnswer: -360000*sqrt(2) + 2902500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - 0. Let w = 7 + p. Differentiate 27*r**2 - r**2 + 0 - 14*r**2 + w with respect to r.\nAnswer: 24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 10:43 AM?\nAnswer: 7:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 7) in base 11?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of -17*a**5\/60 - 11*a**3\/3 - 13*a**2. What is the derivative of l(b) wrt b?\nAnswer: -34*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 878.3443 micrograms in tonnes?\nAnswer: 0.0000000008783443","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2743, 3411, 4077, 4741, 5403, 6063?\n\"Answer: -f**2 + 671*f + 2073","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes before 1:24 AM?\nAnswer: 12:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of m**7\/1260 + m**6\/80 + 11*m**5\/120 + 7*m**4\/12 + 2*m. Let j(d) be the third derivative of q(d). Is j(-8) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 96260 or 95735?\nAnswer: 95735","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.12 + -29.88. Let y = q + 30.058. Round y to 2 dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 45 + -45. Factor t + 2\/5*a**2 + 0*a.\nAnswer: 2*a**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 815 is divided by 402.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*t - t + 2268 = 0. Suppose -161*a = -t*a + 176. Round a to the nearest ten.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 761\/(-3044) + (-155)\/(-20).\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 635112 a multiple of 127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -0.5, 5, 0, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/(sqrt(6)\/sqrt(3)*-6).\nAnswer: -sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.17 (b) -80 (c) -1\/2 (d) -5\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 - -2. Suppose -2*i = k - 17, 0 = 3*k - 5*i + 9 - 49. Let r = k + f. List the prime factors of r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -56*(-6)\/(26\/((-3744)\/756))\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -852 by 2.\nAnswer: -426","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*c**2 - 8*c**2 + 6*c**2 + 6*c**3 wrt c.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 3*c. Let n be ((-6)\/2)\/(6\/(-4)). Let l be n - (-2 + 1 - 1). Let g(b) = 4*b + l*b - 6*b. Determine h(g(q)).\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -6 * -991\nAnswer: 5946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 3*m = -102. Suppose 0 = 62*l - 63*l + m. What is l rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1 + (9 - 1) + -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10 and 36346025?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 282 a factor of 3893010?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -2*i**2 - i + 7. Let h(o) = o**2 - 4. Let r(x) = -11*h(x) - 6*p(x). Determine r(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 144 = -2*u. Let g = 57 + u. Let c = g + 33. Is 24 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 PM and 7:37 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 10 + 3*l**2 - 10 + 3*l**2. Let d(s) = -3*s. Give p(d(x)).\nAnswer: 54*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 271543, 37, 4, 8 in increasing order.\nAnswer: 4, 8, 37, 271543","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 4 (b) 0.1 (c) -5 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15 - (-147)\/21)\/(6 - 202)?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 1200*s - 1669. Is c(21) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 - 0 - (0 - 108). Let n be (-18)\/(-12) + 2\/(-4)*-3. Suppose 0 = d - 4, n*d - 2*d + 84 = 2*u. What is the greatest common divisor of f and u?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -118*i**2 + 26*i**2 + 38*i**2 + 30*i**2.\nAnswer: -24*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a**(-2)*a*a*a**(-5)\/a*a*(a**(-1)*a)**(15\/7)*(a*a*a**6*a*a)\/(a**7\/a*a*a*a)*(a*(a\/(((a*a**7)\/a)\/a*a))\/a)\/(a\/(a\/a**(-7))) assuming a is positive.\nAnswer: a**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 88*k - 962. Is 90 a factor of a(68)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 3*b**4 - 45*b**3 + 114*b**2 - 72*b = 0.\nAnswer: 0, 1, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 9*u - 13*u - 9 + 9*u. Let r be n(10). What is the common denominator of -2*(-3)\/(132\/r) and 89\/4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*b - 6*b + 19*b + 5)*(267*b**2 + 320*b**4 - 267*b**2).\nAnswer: 640*b**5 + 1600*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(176) - (((sqrt(176)*2)**2 - sqrt(176)) + -3 + sqrt(176))) + ((-1 + sqrt(176))*6)**2 + (3*(sqrt(176) - (sqrt(176) + -3 + 2 + sqrt(176))))**2.\nAnswer: -356*sqrt(11) + 7260","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7968304 and 51566?\nAnswer: 2714","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1\/5*(-255)\/204\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 178155 (base 10) in base 5?\nAnswer: 21200110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 6.668534um?\nAnswer: 0.0006668534","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 40 - 36 = 0. Let d = a + -16. What is the remainder when 87 is divided by d?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1129349?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 5, t: 8, r: 3}. What is prob of picking 4 b?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 674487982?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 168, -1582, -23, 1 in decreasing order.\nAnswer: 168, 1, -23, -1582","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 8:19 PM?\nAnswer: 8:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 60 and 168?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3319977967 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dv when two letters picked without replacement from dhvdd?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 29 and 2059?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -49\/5, 15307.57?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8901127?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j**2 + 456*j - 33965. Determine d(59).\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1776 + -17663\/10. Calculate the common denominator of 2*6\/(-30) + 14742\/1020 + -14 and t.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(1331) - (sqrt(1331) + sqrt(1331) + (((2 + sqrt(1331))*3)**2 - sqrt(1331)))) + 4 + -5)*-1.\nAnswer: 396*sqrt(11) + 12011","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.318 - -2.318. What is the closest to 0.3 in -14, -5, q, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0, 3, 21.2, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 15190.2 rounded to the nearest 100?\nAnswer: 15200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-40)\/288*(-24)\/105.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 8 (b) -3 (c) -4 (d) -1\/3 (e) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 111970 to the power of 1\/3, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5677324039.\nAnswer: 211, 439, 61291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -n, -m + 3*n = -4*m + 12. Let f be 1 + m - (-4)\/10*-5. Solve k = -5*d + 14, -5*d + 26 = -f*k + 4*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*q**4 + 6*q**4 - 3*q**4)*(63 - 31 - 37) to h + y*q**2 + r*q**3 + i*q**4 + b*q and give i.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 309 divide 35839983?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 3*o - 30 = 4*o, 134*b = 138*b - 3*o - 21 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3233 or -3307?\nAnswer: -3307","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 7662 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 2*u**2. Suppose -8 = -2*r - 2*r. Let v(i) = 11 - 11 + 5*i - r*i. Determine v(a(g)).\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1221, -1433, -2007, -3123, -4961, -7701?\n\"Answer: -30*l**3 - l**2 + l - 1191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 293 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -468097*g**3 - 1338026 wrt g?\nAnswer: -1404291*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -30*c**2 - 5*c - 28. Calculate j(-3).\nAnswer: -283","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 5 (b) 30.1 (c) 8.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2 - 2*g + 4. Suppose 15 = -s - 4*s. Let p be y(s). Solve -c - 2 - p = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + 56.984875?\nAnswer: 69.984875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10222212202 (base 3) to base 7.\nAnswer: -445166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, j: 1, w: 1, a: 9, z: 4}. Give prob of picking 2 z.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(-2) - (0 + 2). Let q(k) = 5*k + 37. Let m be q(-7). Let p be -2 + m - (3 + -2). Which is the third biggest value? (a) l (b) -2\/7 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -35, -8, -2 in descending order.\nAnswer: -2, -8, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 314994 by -157497.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 185\/63 - 19\/7. Let h = -6 - -10. Suppose -4*z + 9 - 25 = 0. What is the closest to 2 in z, h, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - k + 4. Let c be -5 + 3 - 39\/k. Let g = 66 + c. Solve n + 3*d - 12 = 0, 0 = -0*n + 5*n - 2*d + g for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.9 - 1.1. Let g(q) = q - 1. Let c be ((-3)\/2)\/(2\/4). Let s be g(c). What is the closest to -2\/5 in s, i, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 720460 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 v = -1.6 - -1.71. Let m = -0.71 + v. Let l = m + -3.4. What is the nearest to -2 in 0.4, l, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 + (-291)\/(-435) + (-4)\/(-10). Sort -1\/6, 16, 0.1, c.\nAnswer: -1\/6, c, 0.1, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of -u**4\/12 + 7*u**2\/2 + 18. Let z(k) be the second derivative of b(k). Let n(g) = 9*g - 3*g + 8*g - 2*g. Determine n(z(j)).\nAnswer: -24*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 44*u - 48*u + 44. Suppose -2*i + 5*j + 74 = 0, i = 3*i - 2*j - 68. Calculate the remainder when i is divided by u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*a + 29 - 69 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22011 + -4208. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 + u**2 - u + 5. Let t(r) = -3*r**3 + 3*r**2 - 5*r - 2. Calculate -5*g(s) + t(s).\nAnswer: 2*s**3 - 2*s**2 - 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 8 = 4*s, -184*z + 180*z - 3*s = 6. Solve -2*c - 5*l + 25 = z, -4*l + 43 = 5*c + 6 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6315 - -819?\nAnswer: 7134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -6*x**3 - x**2. Let v be u(-1). Let m = v - 2. Solve m*t - 8*t - 20 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 10) to base 3\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 - 14. Sort o, -4, -0.1 in increasing order.\nAnswer: -4, o, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12699 + -12690. Let h(c) = 15*c**3 + 9*c**2 + 13*c - 11. Let f(x) = 7*x**3 + 4*x**2 + 6*x - 5. Give i*f(a) - 4*h(a).\nAnswer: 3*a**3 + 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -5838*n**2 - 21*n - 15. Let q(x) = 1166*x**2 + 4*x + 3. Determine 4*p(v) + 21*q(v).\nAnswer: 1134*v**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + 2 - -1) + 1 + 5\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3878.\nAnswer: 2, 7, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 404 is divided by 58.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2. Let k(p) be the third derivative of p**6\/120 + p**3\/6 + 6*p**2. Let t(r) be the first derivative of k(r). Give l(t(g)).\nAnswer: 9*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58*f**3 - 43109 - 2*f**2 + 16816 - 59*f**3.\nAnswer: -f**3 - 2*f**2 - 26293","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a kilogram in grams?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -971.05 - -971. Which is the fifth biggest value? (a) -2\/3 (b) 4 (c) -82 (d) -0.5 (e) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127755 is divided by 458.\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 37.3 - 37. Which is the nearest to 0? (a) y (b) -10\/3 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -1\/38922?\nAnswer: -1\/38922","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 - 12. Let c(j) = -j + 1. Let h(k) = k**3 + 7*k**2 + 11*k - 9. Let m(q) = w*h(q) + 6*c(q). Determine m(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.25 (b) -5 (c) 2 (d) -119\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifty-two thirds of a century?\nAnswer: 20800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -6.61, -99.2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5545 and -0.3.\nAnswer: -1663.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(3\/10)\/(o*o**(3\/13)))\/(o**(1\/8))**(-1\/38) assuming o is positive.\nAnswer: o**(-18327\/19760)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-58)\/(-4))\/(2\/(-4)). Let y = 1\/3653 + -631975\/21918. Let m = y - q. Which is greater: -1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33, 96, 193, 324, 489, 688, 921?\nAnswer: 1188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/9*(-9)\/(-2)*(-26)\/(-13). What is the greatest common factor of 11838 and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -47 - -50. What is the second derivative of 2454 + 12*y**5 - 2457 - 11*y + y**5 + 3*y**u wrt y?\nAnswer: 260*y**3 + 18*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 31*l - 2563 - 72. What is the highest common factor of 7531 and l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 106, 232, 356, 478, 598, 716?\n\"Answer: -g**2 + 129*g - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3704\/(-720)*-6879 - -7. Let y = b + -35399. Find the common denominator of -58\/55 and y.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 2 b, and 1 p when four letters picked without replacement from {n: 1, p: 1, b: 2, h: 11}.\nAnswer: 11\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(228)*-1)\/(5*(-2*sqrt(12) + sqrt(12))) - ((sqrt(76) + sqrt(76)*-1 + sqrt(19))*-6 + 2)**2.\nAnswer: -688 + 118*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 60652 and 1176289?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 480282.\nAnswer: 2401410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from bbheeh?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uucuuuuccuuucuuuucu. What is prob of picking 1 c and 1 u?\nAnswer: 70\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2 + 4)*(h + 2*h + 0*h) - 13*h - 529 + 1054 - 505.\nAnswer: -19*h + 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 467 - 444.7. Let s = -22 + z. What is the biggest value in 0.5, s, -1\/2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 4*d + 12, -d + 3*d - 64 = -3*z. Suppose -o - 2*b - 13 = 0, 4*b = 8*b + z. Let v = o + 9. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1119 - 1119 - 21*i)*(4 + 2*i - 4)*(-2 + 0 + 0 + (-5 + 1 + 3)*(4 - 1 - 2)).\nAnswer: 126*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-36)\/(-1 - 3) - 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -324*w**2 - 22*w**2 - 114*w**2 - 26*w**2.\nAnswer: -486*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3884 and 19571476?\nAnswer: 3884","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c**(-4\/3)*c\/(((c\/(((c*c\/(c*c*(c**(2\/9)*c)\/c*c))\/c)\/c))\/c)\/c)*c)\/(c\/c**(-1\/19)*c\/(c*c**(-7\/3))) assuming c is positive.\nAnswer: c**(-503\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.5 - 24.5. Let f = -23 - m. What is the nearest to -0.1 in 0.2, f, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -679725 by -135945.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*a**5 - 6*a**5 + 4*a**5 + (a + 0*a + a)*(-4*a**2 + 4*a**2 + 2*a**4) + 2*a**5 - 14*a + 6465 - 6465 - 19*a**4.\nAnswer: 7*a**5 - 19*a**4 - 14*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 + -8 + 17 - 6) + (2 - 46).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 415665111 to the power of 1\/2, to the nearest integer?\nAnswer: 20388","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 + 1)\/(5\/((-90)\/12)). Let t = 0.08 - -8.92. Which is the nearest to t? (a) 0.2 (b) x (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-1 + 1*sqrt(325)) - (sqrt(104) + (-1*sqrt(104) + sqrt(104))*3)\/(sqrt(8) - sqrt(8)*2*5).\nAnswer: -5 + 226*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 81 + 55?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 45, -4, -115, -19.\nAnswer: -115, -19, -4, 0, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 18 and 47\/47495.\nAnswer: 47495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43584.31 years to decades.\nAnswer: 4358.431","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-682)\/77)\/(-2))\/((-134)\/1876).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 125114 + -125109. Let l = -1 - -1. Solve m*q + 5 = -l for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3448887 to the power of 1\/3, to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of -60 + 55\/2*v**2 + 4*v. Differentiate q(n) wrt n.\nAnswer: 55","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19557132 * 0.1\nAnswer: 1955713.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 244?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 a factor of 1218078?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/(-125)*5*25\/(-10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -173142319 - -438026800. Let s = 1761481789709\/6650 - h. Let y = s + -6\/475. Calculate the common denominator of -91\/10 and y.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-o - 5 + 0*o + 2)*(5 - 6 - 1) to x + i*o and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/((-48)\/14 - -3). Let w(u) = -6*u + 12. Let r be w(d). Let o = 107 + r. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 v, and 2 t when four letters picked without replacement from {t: 4, k: 2, i: 3, v: 2, h: 1, c: 3}.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12638, -23615, -33126, -41165, -47726, -52803, -56390?\nAnswer: -58481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 4958.6802931901.\nAnswer: -4955.6802931901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + r + 4 = -3*g, -4*g = 3*r - 23. Calculate the remainder when g + 2\/(8\/372) is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*w**4 + 396*w**3 + 1635*w**2 - 396*w - 1632 = 0. What is w?\nAnswer: -4, -1, 1, 136","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 59 = -0*j + 2*h, 0 = j - 4*h - 59. Let l = 76 - j. Suppose 736 = 3*n - l. What are the prime factors of n?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -26*i + 14. Let j(q) = -5*q + 3. Let r(d) = 16*j(d) - 3*k(d). Let a be r(4). Does 17 divide (12 - -5)\/((-1)\/a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 167\/9180 and -61\/180?\nAnswer: 9180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 209059*-0.5.\nAnswer: -104529.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 52, 3, -3\/5, 1\/6, 7\/4.\nAnswer: -3\/5, 1\/6, 7\/4, 3, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -7*p, -4*m - 145 = p - 167. Solve -3*i - 122 + 104 = -3*o, 2*o = m*i + 18 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10525 and 1790092.\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-19)\/(-15) - 4\/6. Let q = 1.42 - 0.42. Which is the second smallest value? (a) x (b) q (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 2*k + 10 = k, k = -5*p + 8. Let g(b) = 75*b + 6. Let v(t) = 76*t + 5. Let r(i) = p*v(i) - 3*g(i). What is the derivative of r(q) wrt q?\nAnswer: -73","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -13869000 to the nearest one million.\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 37, 0.9, -0.2, 2\/7, 1.1?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.146 - 0.046. Let d = j - 0.4. Let t = -4 + 3.6. Which is the nearest to 1? (a) d (b) 2\/5 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 + 12*s**2 + 22*s + 25. Let t(c) = -9*c**2 + 2*c + 1. Let d be t(-1). Let l be b(d). Solve 3*m = 2*m + l for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 6*a**2 - 1. Suppose 0 = -2*i + i + 1. What is the units digit of f(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -194489 + d**2 - 6*d**3 + 194491 + 9*d**3 - 5*d**4 - 30*d to f*d + p + b*d**4 + u*d**2 + o*d**3 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 3*h = h - 203, -5*j - 4*h = -209. Let c = j + 36. Does 7 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -57017328 - -1?\nAnswer: -57017327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 526*u - 982*u - 919*u + 93500 for u.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 282 by 2.\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in -16, 0.1, 0.2, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/7 - (-74)\/14. Let f be -1 + 2 - (-30)\/2. Let q be f\/6*(-3)\/(-2). Solve 3*w - 7 = -q*a, 13 = 2*a + l*w - 8 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 e when two letters picked without replacement from pppbnbepbe.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -180 (base 13) to base 11.\nAnswer: -229","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2*a**2 - 2*a - 7. Let h(u) = 2*u**2 + 36*u + 8. Let p(i) = 4*i**2 + 89*i + 16. Let o(j) = 5*h(j) - 2*p(j). What is -6*l(x) - 5*o(x)?\nAnswer: 2*x**2 + 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -c**3\/7 - 6*c**2 + 1024*c\/7 + 1920 = 0.\nAnswer: -56, -10, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1034\/7 - -148. Suppose 151*x = 144*x. Factor x*m + b*m**5 - 2\/7*m**3 + 2\/7*m**2 + 0 - 2\/7*m**4.\nAnswer: 2*m**2*(m - 1)**2*(m + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 152\/32*(2 - -2). Let f = r - -3. What is the tens digit of 818\/f + (-2)\/11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the third derivative of 0*l**7 + 1\/168*l**8 + 3*l**2 + 0*l**3 + 0*l**5 + 1\/8*l**4 + 0*l**6 + 0 + 0*l. Find the second derivative of x(m) wrt m.\nAnswer: 40*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/2))**(-1\/4)\/((k\/k**(3\/5))\/k**0)*(k\/k**(2\/5)*k)**29\/((k**(-1\/2)*k)\/((k*k**(-3)*k)\/k)) assuming k is positive.\nAnswer: k**(349\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 + 13*n + 15. Let o be g(-3). Let b be 66\/14 + 2\/7. Solve 0 = -b*j + 3*y + 8, 2*y - 24 = -j - o*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the third derivative of -5*b**4\/24 - 2*b**3\/3 + 28*b**2. Let n be r(-5). Suppose -4*i = 13 - n. Solve -i*w = -6*w - 12 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -2372*u**2. Let v(t) = 97704*t**2. Give r(v(k)).\nAnswer: -22643281873152*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000011888 to 7 dps.\nAnswer: 0.0000119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 52 - 14 - (15 - -21)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 26 + -32. Let a = r - 3. Let n(l) = -l**3 - 9*l**2 + 4. What is the remainder when n(a) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6992366, -13984707, -20977038, -27969353, -34961646, -41953911, -48946142?\nAnswer: -55938333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20 + -14. Let h(m) be the first derivative of 2*m**3\/3 - 7*m**2\/2 - 8*m - 5. What are the prime factors of h(x)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 12:15 PM?\nAnswer: 3:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.9 + -5.9. Let t = -54 - -52. What is the closest to 2 in x, 4, t?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 170 = -113*g + 735 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bdbdbabbd. What is prob of sequence ddd?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*y**2 - 2*y**2 + 2*y**2 + 4*y**2.\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1578 + -887. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16301 is divided by 193.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1774 + 1807. What is the remainder when 326 is divided by t?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11101 - 11?\nAnswer: 11020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**11*v)\/v)\/(v**(-3\/2)*v)*(v\/(v**(10\/9)\/v)*v)\/v*(v*v\/(v**(-1\/28)*v))\/v*v assuming v is positive.\nAnswer: v**(3383\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: c (base 15) to base 8\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (7\/((-14)\/(-10)))\/((-10)\/(-4)). Let v(t) = -5*t + 2. Give v(l).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 487744, 975483, 1463222?\n\"Answer: 487739*j + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -14*w**2 - 1. Let a be r(-1). Suppose 46 = 2*c + 4*s, -c = -s - 11 - 24. Let n = c + a. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -425 = -o + 11*o - 35*o for o.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1285, -1530, -1775, -2020, -2265?\nAnswer: -2510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111461 is divided by 715?\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 4\/7, -1.1, 1\/4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/126*-9*((-231)\/14 - 6)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*a - 22*a = -4 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 50*h - 217. Let u be a(4). Let d(o) = -o**3 - 19*o**2 - 31*o + 14. Calculate d(u).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of u**6\/480 + 13*u**5\/48 + 283*u**4\/48 + 110*u**3\/3 - 4296*u**2 + u. Find b, given that j(b) = 0.\nAnswer: -55, -8, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 15816669 and 0.3?\nAnswer: 15816668.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 15 (base 6) to base 9\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -300.6 times -0.1?\nAnswer: 30.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3110 and 60090.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 14*i - 7. Let f be w(2). Suppose -5126 - 7117 = -f*q. What are the prime factors of q?\nAnswer: 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1731 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 4*s**3 - s + 1. Let w be l(1). Suppose 2*h - 218 = -5*a + 4*h, -226 = -5*a + w*h. Is a a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 4423?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 6623 = -3*r + 142768, -2*i = 4*r - 99588. Round i to the nearest 1000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4079127, 4079129, 4079133, 4079139?\nAnswer: 4079147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j - 12*j - 30*j.\nAnswer: -41*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -917 + 4339 + 2*h + 510 + (3*h - 5*h + 4*h)*(2 + 1 - 2) as u + w*h and give u.\nAnswer: 3932","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 1, 0, -1\/3, 0.3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 - 3826865*a + 3826863*a.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -19 + 50 + 4*g - 10 as h*g + p and give p.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 - 6*a + 11. Let s be -2 - (102\/(-14) - (-2)\/7). Let b be k(s). Let x(h) = -h + 11. Calculate x(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -3*x**3 + 5*x**2 + 5*x + 6. Let h be k(-4). Let s = h - 216. Solve -s = 2*c - 5*v - 13, -16 = 3*c - 2*v for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432)\/(-4*sqrt(12)))\/(sqrt(12)*-4*-1).\nAnswer: -sqrt(3)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1533*t**3 - 1391*t**3 + 1358*t**3.\nAnswer: -1566*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 742*l**5 + 134*l**3 - 12*l - 23478 wrt l.\nAnswer: 14840*l**3 + 804*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 60231, 58985, 57739, 56493, 55247?\nAnswer: 54001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 + 7*g**2 - 4*g. Let j be p(-7). Let k = 66 - j. Is k a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5330370 to the nearest one hundred thousand.\nAnswer: 5300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3, -4, -1, 4 in decreasing order.\nAnswer: 4, 3, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/3*(-1736)\/7595*-14*38\/8.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 + 11*s**2 + 14*s + 30. Let t be p(-9). Suppose 27*b - t = 5*b. Solve -r = 5*o + 20, 5*o + 5 = -b*r - r for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 239473, 239474, 239475?\nAnswer: 239476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in thirty-four fifths of a millimeter?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of -q**5\/10 - 187*q**4\/6 - 371*q**3\/3 - 185*q**2 + 117*q. Factor k(x).\nAnswer: -2*(x + 1)**2*(x + 185)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 12:59 PM?\nAnswer: 12:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 6*v - 20. Suppose 28*z - 340 = 23*z. Let r = 27 - 19. Suppose 4*s - z = r*s. Let j(u) = -2*u + 7. Give s*j(d) - 6*x(d).\nAnswer: -2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21 and 3160104?\nAnswer: 22120728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -31 and -2120169.\nAnswer: 65725239","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 7*o - 8 + 1 - 25*o + 22*o. Determine w(5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 16*f**2 + 304*f + 17. Determine h(-19).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7148.279t to grams.\nAnswer: 7148279000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -2*y + 4, 5*x = 4*y - 4. Let q = x + 61. Let c = 61 - q. Solve c = -4*b - 3*p - 10, -b - 3*p - 7 = -0*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 g when two letters picked without replacement from vqczvtg.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -62*-145.572\nAnswer: 9025.464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 3*l - 388 = 3*m, 0 = -4*m - l + 1519. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 436*k + 3761. Calculate d(-8).\nAnswer: 273","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -6*q. Let c be b(-1). Let i = c + 5. Let v = -7 + i. What is the greatest common factor of 24 and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 74768 divided by 18692.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*n**3 + 18*n + 54 wrt n.\nAnswer: -15*n**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -6*o - 4. Let t(j) = -6*j - 3. Let i(x) = 6*t(x) - 5*w(x). Let d = -61 + 88. What is the remainder when d is divided by i(-2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 178 - 176. Suppose -4*x - 5*t = -v*x - 21, 3*x - 15 = -2*t. Let p be 1\/1 + 2 + 24. What is the greatest common factor of p and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0516117 rounded to 2 dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in five quarters of a kilometer?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -223 (base 10) to base 14.\nAnswer: -11d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-48)*(-5 - (-112)\/40). Is -1 smaller than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of g**4\/4 - 4*g**3\/3 + g**2 + 2*g + 133. Calculate u(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -42 + 67. Suppose j - y = 3*j - l, 8 = j - 4*y. Calculate the highest common divisor of 6 and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 7, -3, 0, -2, 39 in increasing order.\nAnswer: -3, -2, 0, 2, 7, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 78103, 156205, 234307?\nAnswer: 312409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -156737 (base 9) to base 12\nAnswer: -48051","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1065473370?\nAnswer: 2, 3, 5, 13, 910661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 570?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s = 8*s + 4*v + 3488, 0 = -4*v + 20. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18 - -13. Let u be -3 + (0 - c) - -3. Find the first derivative of 4*s - 1 - 10 - s + u*s wrt s.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 682476141 to the nearest integer?\nAnswer: 880","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 2\/5 (c) 6.132 (d) -10\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzyizzyiizyyizz. Give prob of picking 1 i, 1 y, and 1 z.\nAnswer: 16\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 66 - -14. Suppose -q = -12 - t. Suppose -n = 3*n - q. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 0 + 1)*(-1 + 1 + f) + (0 + 0 - f)*(2 - 2 + 3))*(f**2 + 3*f - 3*f) - f**3 + 0*f**3 - 2*f**3.\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3027 - 1395 = 136*a for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t + 42*t**2 - t. Let c(b) = -12*b**2 + 907 - 451 - 451 - 5*b. Let i(s) = 5*s**2 + 2*s - 2. Let u(z) = 4*c(z) + 10*i(z). Calculate u(o(q)).\nAnswer: 3528*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 - 30*y**2 + 54*y - 34. Is 8 a factor of i(-32)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 27 = 5*l. Let v(y) = -11*y**2 + 5*y - 5. Let n(z) = 38*z**2 - 15*z + 15. Let d(b) = 2*n(b) + 7*v(b). Determine d(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -9 - ((-88)\/(-56) + -11). Let r = -12 - -12. Which is the fourth smallest value? (a) i (b) r (c) 1.7 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*w**2 + 52752*w - 52752*w - 81 + (1 + w - 1)*(0*w + 0*w - w) to the form t + p*w + c*w**2 and give c.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 371358137 to the nearest integer?\nAnswer: 719","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 290 = -u - 2*u, -3*u = 407*n - 405*n + 116 for n.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 13261? (a) -0.4 (b) 5 (c) -2 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**2 + 3. Let a = -9 + 5. Is d(a) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-15)\/72 + ((-25)\/8)\/25. What is the nearest to f in -0.1, -1, -1556?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4712834*n**3 + 3*n + 114788 wrt n?\nAnswer: 28277004*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11020 - 202220112?\nAnswer: -202202022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.064128 rounded to three dps?\nAnswer: 0.064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83768?\nAnswer: 2, 37, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12778443 is divided by 1849.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, x: 9, v: 7}. What is prob of picking 1 v and 2 x?\nAnswer: 84\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 720255*r**3 + 2172435*r wrt r?\nAnswer: 4321530*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1724353 to the nearest 100000.\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -196*l**4 - 15196*l**3 + 8*l**2 + 61403*l + 8.\nAnswer: -4704*l - 91176","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 103, -42, -5 in descending order.\nAnswer: 103, -5, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 321 a factor of 4274436?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/(-3 - -4 - 0). Is (-4634)\/(-42) + 2\/s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 1. Let g be w\/((-3)\/(0 + 3)). Let a(r) = -g - r**2 + 2. Let j(z) = -z**2. Calculate a(j(f)).\nAnswer: -f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.80921l to millilitres.\nAnswer: 5809.21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -28607 - -42962. List the prime factors of h.\nAnswer: 3, 5, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q + 22*q - 3359 - 3659 = 0. What is the lowest common multiple of 22 and q?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3052\/(-2616))\/(2\/(-24))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1332316936.\nAnswer: 2, 19, 8765243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (7 + 1 - (21 - 12)) + -1 + 8\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 51857, 3, -0.9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1307, -1835, -2363, -2891?\nAnswer: -3419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 6*v - 5 = 0. Let d(h) = h**3 - 10*h**2 - 10*h - 7. Let g be d(11). Let t be v\/g - 260\/(-16). Solve -2*l = -6*l + t for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3629274 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**7\/(l\/l**(-14)*l) assuming l is positive.\nAnswer: l**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 22 (c) -1.6 (d) 2\/6287 (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3, 0.0076, 6, -0.3, 2?\nAnswer: 0.0076","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mggmmmmgmm. Give prob of picking 3 g.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -5*y**3 - y**2 + 2*y - 2. Let h(s) = -10*s**3 - 3*s**2 + 4*s - 5. What is -5*b(o) + 2*h(o)?\nAnswer: 5*o**3 - o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -3331 (base 6) to base 8\nAnswer: -1407","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9002?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6476 is divided by 174.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of p**5\/30 - 17*p**2. Let f(h) = 240*h - 90. Let k(n) = 3*n - 1. Let d(g) = f(g) - 90*k(g). Give d(v(j)).\nAnswer: -60*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-186 - 87 - 6261*l - l**2 + 3133*l + 3166*l)*(1 - 1 + 2*l) to the form k*l**2 + f*l**3 + a*l + t and give k.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -781541*s**5 + 6*s**4 - 40*s**2 - 17862*s wrt s?\nAnswer: -46892460*s**2 + 144*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 28, 87, 6, 4, -3, 11, 2 in ascending order.\nAnswer: -3, 2, 4, 6, 11, 28, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of -z**3\/2 + 14*z**2 + 2*z. Let u(p) = -5*p - 2. Let t be u(2). What is the tens digit of i(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -22820604 or -22820611?\nAnswer: -22820611","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -120.86216 to the nearest integer.\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n. Let l(y) = y**2 + 4*y. Let i(d) = l(d) - 4*r(d). Let f(h) = 3*h**2. Calculate i(f(t)).\nAnswer: 9*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 + -2 - 12\/((-28)\/7). What is the tens digit of u\/9 - 4018\/(-63)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u = -9*u + 2*u + 10205. Calculate the remainder when u is divided by 71.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 288488 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -4168, -4236, -4304?\n\"Answer: -68*u - 4100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-72)\/45*1*(-10)\/(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 5, y: 4, k: 2, w: 2, i: 4}. What is prob of picking 1 n, 1 i, and 1 w?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3195?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/378 and ((-190)\/(-20))\/((-4)\/30*6).\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d - 5*d + 4*d)*(4 - 3 + 1)*(-10 - 7 - 10 + (-1 + 3 - 1)*(-3 + 5 + 0) + 2 + 1 - 5).\nAnswer: 108*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 201207?\nAnswer: 3, 47, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (22 + -4 - -5).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j**4\/13 - 125278*j**3\/13 + 1995149876*j**2\/13 - 1039369314600*j\/13 + 1037374290000\/13 = 0. What is j?\nAnswer: 1, 538, 31050","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 166280479 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6283.854m in kilometers?\nAnswer: 6.283854","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5356 - 4741. What is the lowest common multiple of 25 and z?\nAnswer: 3075","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 + 9*f - 10. Let c be o(-10). Suppose c = n - 3*n + w - 4, 12 = n + 3*w. Solve 3*s - 4*i + 26 = n, -5*s + i - 30 = -3*i for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.02 in -2\/11, -0.4, -0.5, 12?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 9 - 4*b - 6*b + 12*b. Let y be l(-5). Let h(u) = -u - 1. Let a be h(0). Is a smaller than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, -66, -1272?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 21 (b) 1 (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 540 minus 23724?\nAnswer: -23184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, c: 15}. Give prob of picking 1 c and 1 m.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*p + 47*p + 70 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78170 + 78170 - 161652*i**3.\nAnswer: -161652*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 4\/15 of a week?\nAnswer: 2688","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2155103 to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/2, -7, -8, -4, -2\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(-3) + -10 + 3. Let g(l) = -l**2 - 6*l + 5. Let v be g(c). Let a = 7 - v. Solve -a*d = d - 15 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(2\/7))**(-15)\/(l**(1\/2)\/l**(-5)))\/((((((l**3*l)\/l)\/l)\/l*l)\/l)\/(l\/l**8))**(-18) assuming l is positive.\nAnswer: l**(1879\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.0638*0.5\nAnswer: -0.0319","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 20\/2*(-20)\/8 + -2. What is the smallest common multiple of 2*9*(-3)\/(-6) and (z\/(-45))\/((-1)\/(-30)*2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -135*n**2 + 6*n + 5. Determine r(-1).\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 91847990 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 565013 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 6200279533 to the nearest 1000000.\nAnswer: 6200000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes before 12:33 PM?\nAnswer: 12:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 + 2*s**2 + 3*s + 2. Let m be x(3). Find the third derivative of -l**4 - 6*l**4 + l**2 + l**4 + l**m wrt l.\nAnswer: -144*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -29 + 118. Let r = y + -55. What is the highest common factor of 170 and r?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bqbbiibeebqicb. Give prob of picking 1 c and 2 q.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of -1\/12*y**4 + y**2 + 0*y**3 + 0 + 0*y. Let c(j) = 11*j**2 - 24 + 24 - 2*j**2 - 7*j**2. Calculate h(c(m)).\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 7, b: 1, p: 11}. Give prob of picking 2 g.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15664 and 12?\nAnswer: 46992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (6 + -3 + 2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 90985595?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -2*r + 14. Let j be p(7). Solve -5*d - 21 + 1 = j for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(4 + (sqrt(153) - (-1 + sqrt(153) + 2))*-4)*-2)**2.\nAnswer: 6400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h and 1 k when four letters picked without replacement from hzxzhhhhhxhfxkxh.\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -137*r - 24*r - 2007 = 2340 for r.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 51387.2474 to the nearest 1000.\nAnswer: 51000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4239077 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1\/10 (b) -293 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-9)\/(c\/(c**(-1\/2)\/c*c*c)*c))**33 assuming c is positive.\nAnswer: c**(-693\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(208) - (sqrt(208) + sqrt(208)*-1))**2 + -6*(-1 + sqrt(637)).\nAnswer: -42*sqrt(13) + 838","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 126475.\nAnswer: 5, 5059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 128789129?\nAnswer: 7, 18398447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (13\/((-2496)\/(-80)))\/((10*-2)\/(-2))?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 500710?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10683 + -10683.8. What is the nearest to 6 in a, 0.2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7 and 4508?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 134*u - 80*u - 432 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1750 is divided by 770.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.01 (b) 0.1 (c) -1\/5 (d) 5\/9 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -4720, -9435, -14152, -18871, -23592, -28315?\n\"Answer: -p**2 - 4712*p - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - 1 - ((14 - 42 - -23) + 16 + -1)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 18*h - 10. Let k be w(4). Let u = k + -57. Suppose u*p = p - 3*i - 12, 3*p + 5*i = -9. What is p rounded to 0 dps?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-seven fifths of a meter?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 14*b + 7. Let m(t) = -5*t - 2. Let i = 35 - 18. Let n(w) = i*m(w) + 6*f(w). Let o be n(3). Solve 2*y = -3 - o for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 303.632 and -2\/337 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rurururrruur. What is prob of picking 2 r?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, i: 8, j: 2}. Give prob of sequence fj.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*-112.\nAnswer: -22.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -3*o**3 + 2*o**2 - 1. Let l be v(-1). Let q(p) = -l*p**2 + 2*p - 3*p + p. Let t(x) = -2*x**2. Give t(q(m)).\nAnswer: -32*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*z + 422 = 377 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 2 + 2 + 2 + 4 - 4 + (-3 + 3 + 1)*(2 - 2 + 1))*(-395*j + 223*j - 1404*j) as f*j + z and give f.\nAnswer: -3152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, i: 4, x: 3, a: 8}. Give prob of sequence ixx.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 <= 10695?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - p - 12, m + 1 - 4 = -2*p. Solve -3*r - 10 = -v, 0 = m*v - 0*r + r + 10 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/(-8) + 129\/24. Solve -2*o = -q + 3 + v, -3*q + o = 1 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.01 and 1745557021.\nAnswer: 1745557021.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*u**5 - 4990032*u**4 - 2*u**3 - 2725217*u - 27 wrt u?\nAnswer: 60*u**3 - 59880384*u**2 - 12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 4*i**3 + 6*i - 3. Let n(a) = -a**3 - a + 1. Suppose 18*f = 11 - 29. Give f*p(k) - 5*n(k).\nAnswer: k**3 - k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of 1423*z**4\/3 + 2055*z**2 - 2*z + 168. What is the derivative of u(t) wrt t?\nAnswer: 11384*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + u + 3 = 0, 2*u + 5 + 7 = 5*r. Suppose 2*l + r*l = 20. Suppose -15 = 3*v, 0 = 3*x - 2*v + 1 - 14. What is the highest common divisor of x and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {h: 5, f: 5, e: 3, q: 2, o: 4}?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 2*o = 2, -2 = 2*l - l - 4*o. Suppose -2*r - 46 = -4*f, -2*f + 0*r = -4*r - 14. Solve -f + 3 = -l*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 101 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 + 47*x. Let o(p) = 23 + 66*p - 281*p + 213*p. What is m(o(n))?\nAnswer: 4*n**2 - 186*n + 1610","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 178556318?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2. Let n(v) = 355*v - 4*v**2 - 19*v**2 - 356*v - 19*v**2 + 3*v**2. Determine n(h(r)).\nAnswer: -39*r**4 - r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13327, -12576, -11827, -11080?\nAnswer: -10335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.391 - 1.491. What is the smallest value in b, -1, -5, -1\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 8*l**2 + l - 1. Let u(g) = -g**3 + 4*g**2 + 2*g - 9. Let p be u(5). Let c be (-2)\/(-5) + p\/(-40). Give s(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 39, 0, 5, 152, -39.\nAnswer: -39, -5, 0, 5, 39, 152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -485\/27 + 2707\/135. What is the common denominator of n and 13\/100?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - w + 6*w + 520 = 0, m - 2*w - 102 = 0. Suppose -a - 819 + m = t, -a - 3*t = 719. Round a to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*h - 113012 = 75212. What is the hundreds digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - j + 2 = -2*h, 2*j + 2*h = -2. Solve 0 = -r - j*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of -c**3\/3 - c**2\/2 + 5. Let k(v) = -4*v**2 - v + 3. Calculate k(j) - 3*x(j).\nAnswer: -j**2 + 2*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, m: 2, u: 14}. Give prob of picking 1 m and 1 q.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 152779 and 22.65486?\nAnswer: 152756.34514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 167971 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - ((-1 - -4) + 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/19, -5, -29714?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 2749 - 260*o - 2749. Let h(c) = c**2. Give n(h(a)).\nAnswer: -260*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -10*s - 6. Let q = -17 + 12. Let k(d) = -d**2 - 4*d + 2. Let x be k(q). Let w be g(x). What is the highest common divisor of 6 and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.02 - 3.02. Let u = -1 - q. Let a = -17 + 27. What is the second smallest value in u, a, -1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-28)\/(-6) - 4\/(-12). Suppose -h + 1236 = -5*w, 0 = 8*w - u*w + 6. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -149*r + 26*r**3 + 149*r + (-3*r + 4*r + 0*r)*(0*r + r**2 + 0*r) - 6*r**3 + 2*r**3 - 2*r**3 - r**2 + 2*r**3 - 5*r**3 + 0*r**2.\nAnswer: 18*r**3 - r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -1 - (-4 + -10 + 20)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, w: 3, d: 1, a: 1, m: 1}. Give prob of picking 2 w and 1 d.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15730 = 128*u - 127*u. Let f be (-600)\/33 - (-6)\/33. Is u\/8 + f\/(-24) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 5*q, 0 = 2*k - 3*k - 2*q. Suppose 0 = -k*t + t - 8. What is the remainder when (1 - 0)*(-15)\/(-1) is divided by t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -21*a - 43. Give g(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 8:11 AM?\nAnswer: 2:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2 - 3*z**3 - 2 + 0. Let n(g) = 5*g**3 - 4*g. Let q(l) = 5*l**3 - 3*l. Suppose -7*a - 36 = 5*a. Let k(o) = a*n(o) + 4*q(o). Give -5*k(w) - 8*m(w).\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -1422030 to the nearest 10000.\nAnswer: -1420000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 55, 50, 45?\n\"Answer: -5*k + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - ((5 - 6) + 4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (45 + -59)*3\/(-2). Solve 2*o - j = 9*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -126 - 1205?\nAnswer: -1334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2009 (base 15) to base 14\nAnswer: -266b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-105)\/12)\/(-5)*(-6)\/(-28)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.426 + -0.034. Let y = -0.04 + h. Let g be (-4 - (-725)\/203)*2\/((-16)\/7). What is the nearest to g in -5, y, -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 6) to base 8.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -0.4 (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8 - 3 - (1 - -1). Let h = 1 - q. Let z be (-4)\/(-1*2) - -1. Sort 0, z, h.\nAnswer: h, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 - 0. Let l be 98\/x + 3\/(-12). Solve 2*j = -4*s + 5*j - l, 4*s - 5*j + 20 = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-44)\/66)\/(6\/45))\/1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide (-17)\/102 + 6596326\/132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 2*q = -2*n + 6598, 3*q + 12 = 0. What are the prime factors of n?\nAnswer: 3301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 715168901 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*x - 5*r + 32 = 0, r + 266164 - 266178 = -5*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 11 = 3*i, -7*i - c + 3 = -8*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 7*l - 6. Let y(q) = q - 1. Let g(w) = -3*f(w) + 15*y(w). Let a = 12 - 0. Suppose 2*n = -a - 4. Let i(s) = 2*s - 1. Give n*i(h) - 3*g(h).\nAnswer: 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * -355720052\nAnswer: -106716015.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u**(-14)\/u)\/u**(-2\/3) assuming u is positive.\nAnswer: u**(-37\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the third derivative of -f**6\/120 + f**5\/12 + 5*f**4\/24 - 27*f**2. Give l(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9495555 milligrams in grams?\nAnswer: 0.0009495555","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxxxxxxpxpx. What is prob of picking 3 x and 1 p?\nAnswer: 16\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - 0. Suppose v = o - 4*o + 297. Suppose 329*m - 808 + 1215 = 11264. What is the highest common divisor of m and o?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63758849.\nAnswer: 7, 11, 29, 4079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-115*y + 49*y + 49*y)*(-2*y**2 - 33 - y**2 + 6 + 22*y**2 - 28*y**2).\nAnswer: 153*y**3 + 459*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/490 and 99\/14.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-1))\/d*d*d)**(13\/2)\/(d**(4\/3)*d**(-2\/9)) assuming d is positive.\nAnswer: d**(97\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 5*u = 870 + 4517, -4*b - 5397 = 3*u. Let d = -718 - b. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 7, w: 4, i: 2, c: 1, a: 1, q: 3}. Give prob of picking 3 w and 1 i.\nAnswer: 2\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 77107870?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of 0*i**5 + 0*i**3 + 0*i - 1\/70*i**7 + 0 + 1\/24*i**4 + 0*i**6 - 5*i**2. Find the second derivative of h(l) wrt l.\nAnswer: -36*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/468 and -137\/3723486.\nAnswer: 22340916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 32 - 17. Let o(m) = -m**3 + 10*m**2 - 2*m + 24. Let q be o(10). Suppose -q*z = 8, -5*z = w - 2*z - 53. What is the remainder when w is divided by y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 604 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 2*v - 454, 42 + 246 = 3*b + 4*v. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (755\/(-110) - -7)*16\/24.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of -5*p**3 + 79*p**2 - 3585*p - 12599. Differentiate z(t) wrt t.\nAnswer: -30*t + 158","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -35734.8, 1\/5, 3 in increasing order.\nAnswer: -35734.8, 1\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1421101 (base 5) to base 3.\nAnswer: 1111111120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 19 = 2*r, 3*r - 34 = -5*n + 42. Let f be (6 + -4 + -1)*r. Solve i - 4*l - 7 = -2*l, 5*i = l + f for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5480 + -5481. What is the third smallest value in -4, -0.5, -349, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 838?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8385191 and 2049.\nAnswer: 683","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3 + 37\/(-14))*36\/10. Let x = 4\/79 - -446\/553. Determine p, given that 3\/7*p**3 + 0*p**2 - x - q*p = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13036\/7 or 1863?\nAnswer: 13036\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19*c*h**3*x**2 + 34*c*h**3 - 44*c*h*x**2 - 270*h**3*x**2 + 6*h**3*x - 364*h**3 wrt x.\nAnswer: -38*c*h**3 - 88*c*h - 540*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.19 take away -305632?\nAnswer: 305624.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1 * -56865\nAnswer: 56865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6031525*d*f - 2856*f - 403 wrt d.\nAnswer: -6031525*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -4*y**4 - 455052368*y**3 - 12942041101400464*y**2 = 0.\nAnswer: -56881546, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-4*-4*(-1*sqrt(75) + 4) + 5 + sqrt(75)*-3 + (sqrt(75) - (2 + sqrt(75))*6))**2.\nAnswer: -13680*sqrt(3) + 46452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -14*a**2 - 18*a - 52. Let f(r) = -5*r**2 - 6*r - 18. Let u(o) = 11*f(o) - 4*t(o). Calculate u(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4330 is divided by 27?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the second derivative of u**3\/6 + 10*u. Let b(i) = -24*i. What is o(b(m))?\nAnswer: -24*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3368401 centuries to millennia.\nAnswer: 0.03368401","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60071155?\nAnswer: 5, 1597, 7523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 1 - 12 = -3*t, -5*t = -5*w + 145. Let x be ((-7)\/((-14)\/(-24)))\/(-2). Solve x*j - j = w for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 4428?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -1.7. What is the second smallest value in n, -2\/11, 2\/19, 0.5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3486?\nAnswer: 2, 3, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 3*k = 2, -3*l + 8 = 4*k + k. Let w be 0*(0 + l) - -4. Suppose b + 15 = w*b. Sort -2, 1, b in increasing order.\nAnswer: -2, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1580 and 129460460?\nAnswer: 1580","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -586416, -1172833, -1759256, -2345685?\nAnswer: -2932120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 184854 and 186.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2247 and 63.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -200616 - 48171 = -10750*f + 62963 for f.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2286996408 and 456?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4678, 4753, 4908, 5185, 5626, 6273?\nAnswer: 7168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 83*v - 105. Let r(l) = -3*l + 1. Let w(q) = -a(q) + 3*r(q). Let x be w(1). Let b be 1*-6*(-112)\/6. What is the highest common divisor of b and x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 940 or 895?\nAnswer: 940","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -72352 divided by -323\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -4896033201779 - 0.4\nAnswer: -4896033201779.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10256 and 2101280?\nAnswer: 1346920480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (2\/(-4)*-2)\/((-26)\/(-10972))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 14238188?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the third derivative of -l**4\/24 + l**2. Let a(q) = -12*q**2. Give a(w(f)).\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 2)*(5*c - 5*c + 5*c)*(28 - 9*c - 28).\nAnswer: 45*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 3*t - 4. Let d(h) = 3*h - 5. Suppose 4*k + 0 + 20 = 4*w, k = 5*w - 25. Determine w*o(a) - 4*d(a).\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 4*i**2. Let b(a) = -441*a - 141. Let l(r) = 108*r + 34. Let v(u) = 6*b(u) + 25*l(u). What is j(v(z))?\nAnswer: 11664*z**2 + 1728*z + 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*j - 2*j + 4*j + (-2*j + 4*j + j)*(-3 + 6 - 2).\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 6, b: 7, y: 1}. What is prob of picking 2 b and 1 x?\nAnswer: 9\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 130 = -8*q. Let g = -18 - q. What is the highest common divisor of g and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 d when two letters picked without replacement from {h: 1, p: 1, d: 4, c: 1, q: 4}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of f**7\/315 - f**6\/225 - f**5\/50 + f**4\/18 - 2*f**3\/45 - 4*f. What is s in n(s) = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*b + 40*b = 16935. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 11 = 5*l. What is the third derivative of -2*p**2 + 3*p**6 - p**3 + l*p**3 - p**3 wrt p?\nAnswer: 360*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 18*m + 19 - 17*m**2 + 7 + 16*m**2. Let o be (-803)\/(-44) + 6\/8. Calculate the remainder when l(o) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11577?\nAnswer: 3, 17, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2598301 is divided by 1093?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkfkmkkldmkllfd. Give prob of picking 1 l, 2 f, and 1 d.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 198.516 + 0.484. Let z = -204 + k. Which is the fourth smallest value? (a) z (b) -1.2 (c) -4 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 208 divide 1741038624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13284 + 13287. Solve -30*w + 29*w - 11 = f*l, 4*l = -3*w - 13 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 36*s**5\/7 - 768*s**4\/7 + 3253*s**3\/7 + 1561*s**2 - 2576*s + 6348\/7 = 0. What is s?\nAnswer: -3, 2\/3, 23\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - p = 3, -3*s = -5*p - 3 + 5. Sort -4, 15, s in decreasing order.\nAnswer: 15, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42)\/sqrt(6)*1)**2*3.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9192401.\nAnswer: 47, 131, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.193 - 0.12. Let m = 4.173 - g. Let p = m - 4. Is p bigger than -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-78)\/(-144))\/((1715\/20)\/7) and -27\/8.\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 170318?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 + -7)\/(9 + -8). Let c(k) = k**2 + 6*k + 4. Calculate c(h).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -482.17 - -479. Let u = k - -2.08. What is u rounded to one dp?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3530246?\nAnswer: 2, 1765123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 - l**2 + 12 + 8 + 0*l**3. Calculate the smallest common multiple of 2 and p(0).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1\/2 + -29\/50. Which is bigger: j or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-60)\/(-130))\/((-24104)\/1196)?\nAnswer: -3\/131","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1380?\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -165, -141, -143 in increasing order.\nAnswer: -165, -143, -141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h + 2*r = -3*h + 36, 0 = -5*h + r - 33. Let c be (h\/9)\/(6\/(-189)). What is the highest common factor of 168 and c?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 18*(-5)\/(-20)*2. Suppose f*d - 13*d = 0. Which is the nearest to d? (a) 0 (b) -1\/5 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 11*n + 184. Let w be i(-15). Solve 2*r + 3*k = w, -2 = 2*r - 3*k - 3 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 375*s**3 + 186 - 187*s**3 - 193*s**3 + (-s + 4*s - 2*s)*(2*s**2 - s**2 + 0*s**2).\nAnswer: -4*s**3 + 186","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67339.\nAnswer: 67339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve s**4\/5 - 100*s**3 - 12747*s**2\/5 + 16910*s + 2648296\/5 = 0.\nAnswer: -19, 14, 524","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 2*y**3 - 4*y**2 - y - 1. Let d(a) = -2*a**3 + 4*a**2 + a + 2. Determine 2*d(t) + 3*o(t).\nAnswer: 2*t**3 - 4*t**2 - t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (6 - 4) + 2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 2 = -10. Suppose -k - 8*f + 3*f = -12, 3*k - d = 2*f. Let o(h) = 19*h**3 - 25*h**2 - 11*h + 13. Let w be o(1). Sort w, -1, 1, k.\nAnswer: w, -1, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31980340?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(-6)*(-33)\/(-104). Let f = -6\/13 - c. Let x = 0.3 - 0.2. What is the closest to x in f, 3\/2, 3\/4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v**0))**40*(v*v*v**0)**5 assuming v is positive.\nAnswer: v**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do -5785817 and -28929081\/5 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 9*d = 69, 0 = 5*p - 94*d + 97*d + 61 for p.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7061 is divided by 123.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 + -6. Let n be (4\/14)\/(b\/(-387)). Let k = 55 - n. What is the second biggest value in -1, k, 2\/15?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 630\/16 + 45\/(-120) is divided by 28.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -27 - -65. What is the remainder when o is divided by 1\/6 - (-1015)\/210?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 37 + -5. What is the greatest common divisor of t and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 492 - 826. Let f = -339 - q. Which is the smallest value? (a) 3 (b) 0.056 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -128*k**3 + 173600*k**2 + 652350*k + 612000 = 0.\nAnswer: -15\/8, 1360","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add 14408.42 and -1830.\nAnswer: 12578.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2108*w + 5 = 2106*w - h, 0 = 2*w + 3*h - 1 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -111221012 (base 3) to base 9\nAnswer: -14835","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 45 = -q - 0*q, -60 = -4*g + 5*q. Let d = -25 - -141. Suppose 4*w - 6*w + d = 0. Calculate the remainder when w is divided by g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -29 + 66. Calculate the remainder when 120 is divided by a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-22)\/(-220)*(-7)\/147*15\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.085633 - 3.\nAnswer: -3.085633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -r - 0*i, 2*r = 3*i. Solve 3 = -3*y - r for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b**5 - 400*b**4 - 6385*b**3 - 37370*b**2 - 85260*b - 65880 = 0.\nAnswer: -61, -9, -6, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -138, -130, -112, -78, -22, 62, 180, 338?\nAnswer: 542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 152, 408, 906, 1766, 3108?\n\"Answer: 20*w**3 + w**2 + 113*w + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4630333?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 63 + -44. Suppose 5*v + 16 = -n. Let c = v - -12. Does 2 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 96 and 132.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11)\/((-715)\/78)*40\/24*12.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 231 (base 11) to base 9.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 37627*y**6 - 2*y**4 - 3524292*y**2 wrt y.\nAnswer: 4515240*y**3 - 48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - -142?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*4*-3*(-928)\/2436*(-14)\/(-4)?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, m: 2, p: 7, h: 1, d: 1, b: 5}. Give prob of sequence dph.\nAnswer: 7\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**3 - p**3 + 12*p**3)*((-6 + 1 - 2)*(0 + 0 + 3*p) - 2*p + 0*p + 3*p + (p + 3*p - 3*p)*(1 - 1 - 1)).\nAnswer: -189*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -5\/153?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 5 - -1) + -7 + 4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*c, 0 = -0*p + 5*p + c - 25 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1556169 to the power of 1\/2, to the nearest integer?\nAnswer: 1247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 256668212, 256668219, 256668230, 256668245, 256668264, 256668287, 256668314?\nAnswer: 256668345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 3*o = 4*m - 197, 0 = -m + 5*o + 45. Suppose 4*s - 5*l - 52 = 0, -5*s - 3*l - l = -65. Calculate the remainder when m is divided by s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.93 - -11.07. Sort o, 4, 5.\nAnswer: 4, 5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 16 - 48 + 21 + 4*z**4 + 0*z**4 - 4*z**4 + 2*z**4 + (z + 1 - 1)*(0 + 3*z**3 + 0).\nAnswer: 5*z**4 - 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7359*f + 6035*f + 2558*f.\nAnswer: 1234*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -2*h**2 - 48*h - 46 = 0.\nAnswer: -23, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 139465787 is divided by 27893157?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -8 + 2. Suppose g*p - 14 = -106. Let n be 25\/(-10)*p\/5. Solve -2*o + 14 = -4*b, 7*o - n = 2*o - 2*b for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 - 8*l**2 + 7*l - 8. Let x be u(-9). Let r be (-6)\/(-4) + x\/4. Let d be (r\/4)\/(2\/30). Calculate the highest common factor of d and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7022 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*q**2 + 129*q**2 - 57*q**2.\nAnswer: 48*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/10 - 125\/(-2) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1, -224, -25, 95 in decreasing order.\nAnswer: 95, 4, -1, -25, -224","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5261958 and 199.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 PM and 1:18 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.07872 rounded to one decimal place?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 929 - 787. Suppose -4*p = -726 + 158. Is p < w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (330\/44)\/(((2\/1)\/4)\/1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1199 - -778?\nAnswer: 1977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 80.2116243 to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -26026 (base 8) in base 12?\nAnswer: -6646","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 1 (b) -4 (c) -0.5 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, g: 1}. What is prob of picking 1 g and 2 i?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 357101448?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 11:13 AM?\nAnswer: 1:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2 - 2*n. Let w be p(5). Let o be 2\/7 - 340\/w. Find the second derivative of j**4 - 6*j**4 + 9*j - o*j wrt j.\nAnswer: -60*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than 2\/8105775?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -6*a + 2*a - 20, p + a + 5 = 0. Suppose 4*b - 14 - 2 = p. Suppose 0 = 3*d - b*k - 35, -6*k - 8 = -2*k. List the prime factors of d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22396*0.2\nAnswer: -4479.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -7*a - 5*a + 13*a + 3. Suppose -2*d = 2*d - 3*z + 12, 3*d = 5*z - 9. Give m(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -117*d. Let o(c) = -8*c**2. What is w(o(j))?\nAnswer: 936*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -3*w + 11. Let k(m) = -8 + 13*m - 17*m + 19 + 5. What is -7*i(h) + 5*k(h)?\nAnswer: h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*p - 1 + 36*p + 29*p + (0 + 0 - 2)*(26 + 6*p - 26).\nAnswer: 65*p - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.56, 1026, 0, -2\/3, -4.\nAnswer: -4, -1.56, -2\/3, 0, 1026","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 939, 155 in descending order.\nAnswer: 939, 155, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of 0*c**2 - 2*c + 2 + 0*c**3 + 0*c**4 - 1\/60*c**5. Let o(g) be the first derivative of s(g). Let o(m) = 0. What is m?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 - -10. Calculate the lowest common multiple of p and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 + 2*o - 319. Let l be j(17). Suppose 2*m - 7*m + a - 441 = 0, -5*m - 5*a = 435. Let i be 1\/4 + m\/(-32). Solve -i = l*c + 5 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 161322895 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-5))\/(30\/(-60))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.046 times -14192682\nAnswer: 652863.372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 - -6. Suppose -s = a*s + 18. Calculate the smallest common multiple of 1 and (s - -2)\/(-16)*4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fourteeen ninths of a day?\nAnswer: 2240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -11539, -23054, -34569, -46084, -57599, -69114?\n\"Answer: -11515*f - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -1277 + 103*x**2 + 1277 + 6*x. Is c(7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.577514 * -0.5\nAnswer: 0.288757","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 - i**2 + i + 3. Calculate x(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 36085439 rounded to the nearest 10000?\nAnswer: 36090000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7, -19, -37, -61, -91, -127?\nAnswer: -169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 5 = 3*d, -o - 5*d - 8 = 13. Suppose -4*m + o = -3*m. Suppose -2*i + 28 = m*b, 0 = 2*i + 3*b - 10 - 14. Solve -2 + i = -4*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110000001 + -11?\nAnswer: 101111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 227, 336, 331, 212, -21?\nAnswer: -368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 - 310*r**2 - 726*r - 200. What is v(-2)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22 + 25. Suppose 3*r + 0*r = 0. Let j be 3 + (r + -2 - -2). Calculate the greatest common factor of t and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (56*r + 1080 - 1080)*(0*r - 3*r + 4*r).\nAnswer: 56*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0, 416, -9, 5, 43, -3 in decreasing order.\nAnswer: 416, 43, 5, 0, -1, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2421 is divided by 598?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*h + 48594 = -20*h. Let y = -5469 - h. Suppose -g = -11*g + y. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - 0)*8\/4. What is the common denominator of 0 - 43\/(-26)*s and -79\/10?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 2*u - 14, 2*l + 2*l - 3*u - 100 = 0. Let n = 24 - l. Solve n*d = -0*b + b - 6, 2*d + 2 = 3*b for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**2 + 7*c + 7. Let y be b(6). Let o(d) = d**3 + 8*d**2 + 14*d + 9. Let g be o(-5). Is g at most y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32051.\nAnswer: 32051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5353119 divided by 594791.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 46283371 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/(d*d*d**0*d))**(-10\/17)\/(d\/d**1*d**(-2\/19)))**36 assuming d is positive.\nAnswer: d**(8064\/323)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6223451 by -6.\nAnswer: -6223451\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9994747898 - -136.\nAnswer: 9994748034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 h when three letters picked without replacement from {h: 4, g: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4059005 to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 7071*s = -7066*s - 73326, 4*k - 97768 = 2*s. Does 202 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of c**2*v**3 - 101*c**2*v**2 - 12*c*v**3 + 9*c*v**2 + 4*c*v - 327*v**3 - 2 wrt v.\nAnswer: 6*c**2 - 72*c - 1962","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2198, 4464, 6822, 9320, 12006?\nAnswer: 14928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 15\/8, -17, -8, 3?\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/6*(203 + -41)\/54. Let g(y) = y**3 + 6*y**2 + 4*y. Let j be g(-5). Sort -3, j, n, -5 in ascending order.\nAnswer: -5, -3, n, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*s + 3*s**3 + 4*s - 245 + 2*s**3 - 32*s + 7*s**2 + 37*s + 249 + (2*s - 4 + 4)*(3*s**2 + 2*s**2 - 3*s**2) + s**2 - 2*s**3 - s**2.\nAnswer: 7*s**3 + 7*s**2 + 5*s + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*x - 1784 + 1896 = 0, 44 = -7*w + 3*x for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 66893731?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/6179 or 2\/5?\nAnswer: 5\/6179","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -233.469 + 0.469. Let t = 231 + c. Put 0.2, 5, 7, t in increasing order.\nAnswer: t, 0.2, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6432 is divided by 157?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -3*q**2 + 13*q + 6 - 52*q**3 + 97*q**3 - 46*q**3. Let t be s(-6). Let b be 4\/(-14) + 340\/14. What is the highest common divisor of t and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13013751 (base 8) in base 16?\nAnswer: -2c17e9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 4*p - 2. Let k be (-30)\/20 - (7\/(-2))\/p. Sort k, -14, 3.\nAnswer: -14, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3)\/2)\/(90\/(-160)). Let d = g + -23\/12. Factor d*a**2 + 1\/4*a**3 + 0 + 1\/2*a.\nAnswer: a*(a + 1)*(a + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 659618 is divided by 659609?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -4*c**2 + 5. Let k(a) = a**2 - 1. Let p = -15 - -12. Give p*i(j) - 15*k(j).\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 410942355?\nAnswer: 3, 5, 19, 31, 193, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 13*a - 70. Suppose 0 = -3*o - 0*h + h + 43, -5*o + 4*h = -74. Does 15 divide t(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3328961 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -2*z - 41. Let v be w(-21). Let h(g) = 7*g + 8. Let c(i) = 2*i + 2. Let l(q) = v*h(q) - 4*c(q). Let r(b) = -4*b + 5. Calculate l(r(n)).\nAnswer: 4*n - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 10 + 18?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/3 of a hour in seconds?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3709 and 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -122*g - 2*n = -972, 18*g - 32 = 13*g - n - 4*n - 2 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14499 - -6093. Does 99 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 7552952?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -304 + 304 - 1033*b**2 + 18*b**3.\nAnswer: 18*b**3 - 1033*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, -1392, 105 in decreasing order.\nAnswer: 105, -2, -3, -1392","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 172107731 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -3*z**2 - 115*z - 4633. Let u(x) = 2*x**2 + 6*x. Let c(l) = -t(l) + u(l). What is the first derivative of c(v) wrt v?\nAnswer: 10*v + 121","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13\/(260\/72)*(-5)\/2?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 715526489 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*r + 3*r - 3*r + 3*r + 344*r**3 + r - 320*r**3.\nAnswer: 24*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -172381, -172384, -172387, -172390?\n\"Answer: -3*x - 172378","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/2 (b) -0.6 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-8)\/12)\/(2\/(-18858)). Suppose -z - 29 = -5*y. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7769 + 8135. Is v greater than 365?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9919 - 3*f + 2*f + 9919.\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 7*j - 726. Let h = -360 - 320. Let p = j - h. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**7*b)**(-48) assuming b is positive.\nAnswer: b**(-432)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*4*((sqrt(112) + (sqrt(112) + 1)*5 - sqrt(112))**2 - (2*(sqrt(112) + -1) - sqrt(112))**2).\nAnswer: 1728*sqrt(7) + 21672","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -432474*n**4 - 3*n - 25617?\nAnswer: -5189688*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.01 + -0.29. Let l be 4\/2 + 1*(-13 + -7). Let s be ((-5)\/40)\/((3 - 0)\/l). Sort s, -1\/4, a, 2.\nAnswer: a, -1\/4, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*c - 64*c - 1 + 6*c + 113*c + 155*c.\nAnswer: 197*c - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3c (base 16) to base 3\nAnswer: 2020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12 + 3\/2*l**4 - 3\/2*l**3 + 6*l - 9*l**2.\nAnswer: 3*(l - 2)**2*(l + 1)*(l + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 3 - 6 + (2 - 2 - 2)*(2 - 1 + 1) + 4 - 2 - 3 + 13 - 13 + 5)*(-v**2 - v**2 + 5*v**2) as p + i*v + u*v**2 and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 AM and 7:06 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**3 + 60*r**2 + 69*r - 1428.\nAnswer: 3*(r - 4)*(r + 7)*(r + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61 is divided by 28.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-3\/7)\/((x**(1\/3)*x)\/x))\/(x**(2\/7))**20 assuming x is positive.\nAnswer: x**(-136\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4.869 - 0.131. Let c = -5 + 8. Put -0.03, t, c in decreasing order.\nAnswer: c, -0.03, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 34.4317 to two dps.\nAnswer: 34.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 142541 divided by 6?\nAnswer: 142541\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 AM and 11:30 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 82? (a) 5\/19 (b) -5 (c) -1 (d) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(21) - (sqrt(21) - sqrt(525)) - sqrt(21)))\/(sqrt(14)\/sqrt(2)*2 + sqrt(7)).\nAnswer: -4*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 646855 is divided by 58802?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*j = 23*j + 126. Solve -4*r + 7*r = -j for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27997?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of 2*y**2 + 3 + 0 + 0. What is the tens digit of c(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -35.698 - -4.698. Put 3, 0.2, -0.2, 0.3, y in decreasing order.\nAnswer: 3, 0.3, 0.2, -0.2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 276887.\nAnswer: 4\/276887","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*m - 3*v, -3*m + 7 = -3*v - 14. Let n(b) = -2 - 4 + b + 5. Let w be n(6). Which is smaller: w or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6053*k - 6051*k - 2*f = -10, -5*f = 3*k - 33. Which is smaller: k or -48\/775?\nAnswer: -48\/775","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the third derivative of 5*v**4\/12 - 189*v**2 - 2. Let t(u) = -u - 4. Calculate t(y(n)).\nAnswer: -10*n - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = x - 17, 3541*w - 4*x = 3539*w - 40. Solve 0 + 0*g + 0*g**3 - 2\/7*g**5 + 0*g**w + 2\/7*g**4 = 0 for g.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3\/2)\/((-3)\/(-40)). Suppose -3*d + 2*d = -2. Suppose -3 = -4*a - 1249*g + 1248*g, -5 = 2*a + g. Solve -y - 7 = -4*p - d, -a*y = 4*p + q for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*x**2 + 19*x**2 - 40*x**2 to the form s*x + y + t*x**2 and give t.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59*j - 7*j - 19*j + 16*j.\nAnswer: -69*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 3 - 3)*(-76*s - 15*s - 20*s) as l*s + o and give l.\nAnswer: 444","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 13 + 5. Suppose 3*l - 3*x = 30, 7*x - w*x - 6 = -2*l. Suppose r = -0*r + l. What is the highest common divisor of r and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 664 divide 10225600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 24*f**2 - 6*f - 9. Let k be g(-3). Suppose k = 2*m - 3*q, 5*m - 3*q - 898 = -340. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, d: 3, o: 1, l: 1, b: 4}. Give prob of sequence cd.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -92 - -58. Suppose g - 102 = 3*y, y = -g - 10 - 24. Let n = o - y. Let j(s) = s - 6. What is j(n)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 145.5 - 146. Sort -0.4, j, -3\/2, -4 in increasing order.\nAnswer: -4, -3\/2, j, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*a - 3, 291*a = -h + 296*a for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u - 4*u + 6*u + (1 + 4 - 4)*(6*u - 3*u + 6*u))*(-7*u**4 + 3*u**4 + 2*u**4).\nAnswer: -16*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -2*x - 13 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1455718541 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 + h**2 - 2*h + 1. Let c be d(1). Let i = -252 + 252.18. Let k = -1.32 - i. Put k, c, 2 in descending order.\nAnswer: 2, c, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -3*x + 34347, -5*x + 14*n + 41101 + 16198 = 0. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (59 - (-55 - -57)) + -90.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10044?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 325188 and 132?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0\/(12\/4 + -6). Solve w = 5*r + c - 30 + 6, 5*c = -r + 24 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/8 of a century?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:56 AM and 6:59 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 1.4 = -975\/53?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 - 7*b**2 + 6*b - 4. Let t be s(6). What are the prime factors of (-66)\/(-24) - 1\/t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.0619 - -0.0277. Let w = -5.0896 + x. Which is the third smallest value? (a) w (b) -0.5 (c) 8.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/4*(-2 - 1 - 819\/(-189))\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2767532nm in kilometers?\nAnswer: 0.0000000000002767532","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34, -62, -90?\nAnswer: -118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*t**4 + 65*t + 78*t - 3*t**2 + 18*t**2 - 9*t**2 wrt t?\nAnswer: 96*t**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + -1. Find the second derivative of -2*z + g*z - 30*z**4 + 12*z**4 wrt z.\nAnswer: -216*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2359193 rounded to 3 dps?\nAnswer: -0.236","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-1*(sqrt(833)*2 - sqrt(833)) + (sqrt(833) - (-2 + sqrt(833))*6) + sqrt(833)) + -5)**2*1.\nAnswer: -22750*sqrt(17) + 524850","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-w**2 - 3*w + 3*w)*(-3 + 278*w + 3 - 7892*w - 1040*w) to k*w**3 + y*w**2 + h*w + z and give k.\nAnswer: 8654","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/2*2\/(-20))\/((-2)\/(-8)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3717469973 to the power of 1\/7, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 2*p + 2. Let t = 0 - p. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = -18*h - 87, -6*p + 11*p + 5*h + 3 = -2 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 54125 and 1732?\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y + 96 = 10*y. Suppose -3*q = q - y. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 898887, 1797776, 2696669, 3595566, 4494467?\nAnswer: 5393372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (61\/((-15372)\/(-180)))\/((-85)\/(-14))?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 174 = -542. What is the remainder when j is divided by 32?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -5*n**2. Let i(p) = 4*p**2 - 2. Give i(q(h)).\nAnswer: 100*h**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1095, -21295 in decreasing order.\nAnswer: 1095, -1, -21295","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o - 1. Let j be m(-2). Let c be (-2)\/5 + (-307)\/(-5). Suppose -7 = 3*y - c. Solve -4*x + 3*u + y = x, x = -4*u - j for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 10, o: 9}. Give prob of sequence ddd.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13188, -13120, -12982, -12762, -12448?\nAnswer: -12028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 7 + -7 + 8 + -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.5 - 1.5. Let y = t - -1. Which is the biggest value? (a) 5 (b) 0 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -205*c + 251*c**4 - 245*c**2 - 252*c**4 + 2 + 252*c**2 to the form m*c**2 + h*c + g*c**4 + p + u*c**3 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -48317514*v**3 + 955170997*v**2 wrt v?\nAnswer: -289905084","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-5*(sqrt(72)*-2 + sqrt(72) + sqrt(72))\/(sqrt(18)\/sqrt(3)*-1))**2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, z: 3, s: 4, c: 3}. What is prob of sequence psc?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2000200 + 202022001?\nAnswer: 211022201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10375 and 166.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + 1 - (-2 - 1). What is the second derivative of -a - 3*a**5 + w*a + 0*a + a**5 wrt a?\nAnswer: -40*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 275524572 rounded to the nearest one hundred thousand?\nAnswer: 275500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k - 5. Let x be i(8). Solve 0 = -m + 2*n + 3*n + 12, x*m - 10 = 2*n for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -72774, -72409, -72044?\nAnswer: -71679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - (11 + -11)) + 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 smaller than -278182?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 0*m - m - 2 = 0, -4*h - 10 = -2*m. Let u be -2 + (h + -2)\/(-1). Suppose -5*i + 4 = -u. What is the smallest value in 0.2, 5\/4, i?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16672 to the power of 1\/2, to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 44*f + 1. Let z(a) = -13*a**2. Give r(z(s)).\nAnswer: -572*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 9546.667 hours?\nAnswer: 34368001200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -120, 1, -14, 0 in descending order.\nAnswer: 3, 1, 0, -14, -120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 186185636377 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(484) - sqrt(484)*1 - sqrt(484) - sqrt(24)\/(-2*sqrt(6)))\/((4*(sqrt(162) - (sqrt(162)*3 - sqrt(162))) - sqrt(162)) + sqrt(162)).\nAnswer: 7*sqrt(2)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16 + -40. Let d be 8722\/6 - y\/18. Suppose -3*c = -5*u - c + d, 2*c - 303 = -u. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -p**2 + 15*p**3 - p**2 + 28*p**4 + 30*p + 14*p**4 + 16*p**3 - 30*p**3 wrt p.\nAnswer: 1008*p + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 772 + -449.\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1299.\nAnswer: 3, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -173*b**3 - 685*b**2 - 664*b + 28.\nAnswer: -(b + 2)**2*(173*b - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14*g**5 - 108*g**4 + 13*g**3 + 6*g - 10624 wrt g.\nAnswer: 280*g**3 - 1296*g**2 + 78*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 82132 to the power of 1\/3, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -226760 and 91?\nAnswer: 226851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -30*d**2 - 198 + 198 - 7*d**2 + 3*d - 3*d + (d - d + 2*d)*(-1 - 2*d + 1).\nAnswer: -41*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -25*v - 5. Let d(t) = -27*t - 6. Let f(m) = 3*d(m) - 4*p(m). Does 2 divide f(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 0*z = z - 5, z = -5*l - 13 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -179060 divided by -5\nAnswer: 35812","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lgrpgooooopppgg. Give prob of picking 1 l and 1 g.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -29*j - 0*x + 2*x - 435, -6*j - 17*x = -3*j - 12*x + 45 for j.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5)\/2*(3 + -5). Suppose -4*t = -4*o + 3*o + 110, -2*o + 223 = -a*t. What is the remainder when o is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -326 + 461. Suppose 2*n = 5*n + s. Let z = 47 + n. Solve 0 = 2*x + 3*q + z, 0 = x + 7*q - 3*q + 1 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -6*a - 17. Suppose 2*l + 0*i + 5*i - 1 = 0, 0 = -3*i + 9. Let x = -4 - -13. Calculate the remainder when u(l) is divided by x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5\/10 + (114\/4 - 3). Suppose u*i = 21*i + 55. What are the prime factors of 217 + (2\/4)\/(i\/(-88))?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2100 and 270823?\nAnswer: 81246900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 8) to base 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -50\/21 and -71\/23660.\nAnswer: 70980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 477659 and 395850?\nAnswer: 71648850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 plus 0.2556?\nAnswer: 0.5556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 558\/(-44)*(-2)\/(-6) and -41\/12?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 60 + -61. Let n be 0 - (y + -2 - 3). Suppose 8*m - 52 = n*m + 5*b, -5*b - 26 = -m. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11253905 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 2*n**3\/11 - 3456*n**2 - 418442*n\/11 + 41496 = 0.\nAnswer: -12, 1, 19019","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) + sqrt(77) + 4*sqrt(77)*-2)\/(2*sqrt(891)))**2.\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-6)\/15)\/((-8)\/(-12)))\/(-1).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2414*z - 1659*z + 2894*z)*(-z + 0 + 0).\nAnswer: -3649*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/9))**35\/(c**2\/c**(-3)) assuming c is positive.\nAnswer: c**(25\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 PM and 8:37 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-4) - (-22)\/88*14. Solve 5*q + 0*n = -n + 18, i*q + 3 = 4*n for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -o**4 + 31*o**3*p**2 + 2*o**3*p + 6*o**3 - 2*o**2*p**2 + 89*o**2*p wrt o?\nAnswer: -24*o + 186*p**2 + 12*p + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + g = -31, 5*g - 22 = -4*b + 47. Calculate the lowest common multiple of b and 8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**2\/9 + 842824*l\/9 - 561880\/3 = 0. Calculate l.\nAnswer: 2, 421410","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1049.3 + 1344. What is o rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -52 - -1 - (-118 + 74)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the second derivative of -145*c**3\/6 + 5*c**2\/2 - c - 52. What is the first derivative of g(l) wrt l?\nAnswer: -145","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 d when two letters picked without replacement from {d: 11, w: 1, e: 5}?\nAnswer: 55\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.2 and -0.0436.\nAnswer: 0.1564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.7 in 3, 1.19, 50, 4, 13?\nAnswer: 1.19","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9619599 is divided by 2234?\nAnswer: 2229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 3\/4 (b) -9 (c) 83\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 5*m**2 - 21*m - 103. What are the prime factors of s(-6)?\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32282351.\nAnswer: 71, 227, 2003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to 123142?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 - -3. Let o be ((-15)\/i - 3)*-96. List the prime factors of o\/14 + 2\/(-14).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-570)\/(-145) - 108\/(-1566). Solve 3*b + 22 = -4*r, u*r + 8 = 120*b - 116*b for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in four sevenths of a week?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n + 6*n - 32. Solve 5*l - n*l = -5 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 36099 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) -519 (c) 2\/11 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 - y + 4. Suppose z - 2 = -z + 4*o, -2*z - 3*o - 33 = 0. Let k be ((-30)\/z - 3)\/((-1)\/(-129)). Let q = k + -46. Determine n(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 248, -123, -1140, -3127, -6408, -11307, -18148?\nAnswer: -27255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48 + -45 + (-47 - -1 - 3) + 0.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2 + 102*r - 296. What is j(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-5)\/(80\/(-22)).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that o**2\/5 + 97438113*o\/5 = 0.\nAnswer: -97438113, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3\/3 + 3*k**2 + 23*k\/3 + 5.\nAnswer: (k + 1)*(k + 3)*(k + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 2*l + 23. Let x = -11 - l. Suppose 4*t - 5*o + 15 = 0, 4*t - x = -2*o - 2*o. Solve -3*g - 5 = -2*j + 2*g, t = 3*j - 3*g - 3 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g*g\/(g*(g**(-2)*g)\/g)*g))**1)**(-2\/69)*(g**(-3\/4)\/(((g\/(g\/(g**(1\/6)*g)))\/g*g*g*g)\/g))**48 assuming g is positive.\nAnswer: g**(-3218\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/5 of a tonne in kilograms?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 120 - 96 - 1*(-2)\/(-2). Let o be 996 + 21*3\/(-9). What is the greatest common divisor of o and s?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -135 (base 6) to base 15.\nAnswer: -3e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43.38411 decades to years.\nAnswer: 433.8411","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1551571674?\nAnswer: 2, 3, 17, 23, 313, 2113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 41\/(-63) - 11\/(308\/(-12)). Which is the smallest value? (a) t (b) 15 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -5*l**3 + 28*l**2 + 20*l**2 + 11*l**2 - 9*l**2 - 106*l + 100 - 39*l = 0.\nAnswer: 1, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -2\/7, -0.1, -0.9, 2?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 AM and 5:57 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*r - 768 + 723 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9 + -4 + -1 + 0. Solve 34*d - 30*d + 0*d**3 - 20*d**4 + 16*d**2 + 4*d**r - 4*d**3 = 0.\nAnswer: -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert c3c2 (base 13) to base 10.\nAnswer: 27029","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36375?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {u: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) 78 (b) 6 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f - 4*f = 5*n - 20, 0 = -f - 3. Suppose 4*v - 3*r - 17 = 0, -4*v = -2*r + 761 - 779. Sort -5, v, n in increasing order.\nAnswer: -5, n, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 84.61767 millennia?\nAnswer: 84617.67","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 240669 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12378809 to the nearest integer?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1079 + 1092. Suppose -2*l - 2*b + 3 + 7 = 0, -3*b = 2*l - 15. Let p be ((-2)\/1 - -4) + 1. Solve l*v - v + 3 = x, -x + q = p*v for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the third derivative of -k**6\/150 + 4*k**5\/75 - k**4\/6 + 4*k**3\/15 - 2*k**2 - 56*k. Let c(y) = 0. What is y?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/2)\/(-15 + 6396\/429). Solve 2309 = -m*y + 2386 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*p\/p**11)\/p)\/(p*p**(-28))*p\/(p**(-1\/21)\/p)*p**(-8\/3) assuming p is positive.\nAnswer: p**(365\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 14163253649 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 243936 and 83006.\nAnswer: 11952864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of a**3\/2 - 2*a. Suppose -5*g + 1 + 9 = 0. Let i(c) = c + 2*c**g - c. Calculate i(k(x)).\nAnswer: 18*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*r - 5*r + 4*r + 3)*(-16*r + 38 - 38) to the form s*r**2 + m + u*r and give s.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 z when four letters picked without replacement from zzzzzzzzz?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*-4)\/(-1*(-3 - -10))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - -bb327?\nAnswer: bb323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -21587 divided by -215?\nAnswer: 21587\/215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyyyyjyjjyy. What is prob of picking 3 y?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15.5 + 22. Let f = -1.6 + 7.6. Let y = t - f. Sort -1\/3, 4\/5, y.\nAnswer: -1\/3, y, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 7:52 AM?\nAnswer: 5:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - 52?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50879?\nAnswer: 83, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -43+0.1666415949\nAnswer: -42.8333584051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7\/3 in -1\/4, -6.9, 3, -0.1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20007 and 29107.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -4)\/((-11)\/(-11)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7575237 to the power of 1\/3, to the nearest integer?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -498, -3865, -13014, -30837, -60226, -104073?\nAnswer: -165270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 263*a**4 + 24 - 3*a - 134*a**4 - 255*a**3 - 130*a**4 + 2*a wrt a.\nAnswer: -12*a**2 - 1530*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*b + 165 = -40 - 35 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**2\/5 + 21057*s\/5 - 42054.\nAnswer: -3*(s - 7009)*(s - 10)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(60)\/(sqrt(24)\/(sqrt(2)*2)))**2 + 1 + (sqrt(5) - sqrt(10)\/sqrt(2))*-5 + -4.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 6*o - 10 = 0. Suppose -4*z + q - 14 = 0, 11 + 19 = -3*z + 4*q. Let b be 0\/(z + 2 + -1*o). Solve -w + 2 = -b*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 224.2 - 224. Let h = -730 + 916. Is h at least y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 42\/11 in -4\/25, 1\/4, 28?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000006086 rounded to six dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 9*q**2 - 225*q + 20. Determine j(25).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4758 and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 144 + 933.\nAnswer: 1077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - 0.1. Let g(n) = -n**2 - 5*n + 3. Let p be g(-6). Which is the smallest value? (a) u (b) p (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 + 6. Let o be 7\/7 + m + 1 + 5. Suppose 0 = -4*g + o*z + 366, -g + 2*g - 2*z = 94. What is the tens digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1729391 - -1171394. Let u = j - 472003. Round u to the nearest one hundred thousand.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 9*z + 88 = 8*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the third derivative of -1\/40*c**5 + 0 - 82*c**2 + 4*c**3 + 15\/16*c**4 + 0*c. Let u(m) = 0. Calculate m.\nAnswer: -1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 2*(-2 + (sqrt(12) - (sqrt(12) + sqrt(36)\/sqrt(3))) + 2))**2.\nAnswer: -8*sqrt(3) + 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3 (b) 9\/4 (c) 0 (d) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*s + 64 = -27. Solve b = 8*b - s for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 132 times 0.5\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u + 10*u - 15*u + 3*u.\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 402528359115063 + -424667362356039246\/1055. Let p = d + -53564303. Let o = 1\/2110 + p. What is the common denominator of -31\/2 and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 21*f**4 + 17 wrt f.\nAnswer: 84*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 216*d**5 + 3*d**4 + 1818*d**3 + 2003898*d**2.\nAnswer: 12960*d**2 + 72*d + 10908","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4071 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 12 (c) -0.4 (d) -2\/11 (e) 1\/11 (f) 6393\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 PM and 12:12 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 2*l - 14. Let d = 23 + -12. Is g(d) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + -3. Let u = 135002.4 - 135002. What is the biggest value in 17, u, s?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 m when two letters picked without replacement from mmmmmummum.\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (60\/(-280)*38)\/(99\/(-2)) and (-500)\/(-18) + 10\/45.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, x: 2, l: 5, r: 1, h: 1}. Give prob of sequence hb.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102) + (sqrt(102) - (sqrt(102) - (sqrt(102) - -1*sqrt(102)*3))))\/(sqrt(6) - sqrt(24)\/sqrt(16)).\nAnswer: 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20815618?\nAnswer: 2, 41, 97, 2617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 37 + -17. Suppose -4*p = -4*l + 40, l = 4*l - p - y. Solve 6*a = -4*i + 2*a + 4, -5*i + 5*a = -l for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from omcoqcomcmccmowcmcco. What is prob of picking 1 q, 1 m, and 1 w?\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15671904 by -1958988.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*x + k, 0 = -0*x - 4*x - 4*k + 36. Is x greater than or equal to 36?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 48291251 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 - 35*v**3 + 5*v - 9*v**2 - 5*v + 29*v**3.\nAnswer: -6*v**3 - 9*v**2 - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/3)*w*w**(-3)*(w\/(w\/(w*w\/w**(-1\/5))))\/w**(-4))\/(w*w*w**(-5\/3)*w*w*w*w\/w**(-3)*(w*w**(2\/11))\/(w**(-5)\/w)) assuming w is positive.\nAnswer: w**(-549\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yp when two letters picked without replacement from vqypdvd?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 - -9. What is the first derivative of 5 - 1 + 0*d**i + 2*d**3 wrt d?\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 32*n**2 + 0*n + 11*n**2 + n. Suppose 3*j - 9 = 14*q - 17*q, 0 = -2*j + 3*q - 4. What are the prime factors of c(j)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -30*v + 279. Let h(o) = -86*o + 838. Let i(t) = -4*h(t) + 11*n(t). Differentiate i(y) with respect to y.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 2*t**2 - t - 2. Let u(r) = -2*r**2 + 2*r + 2. Give -3*f(k) - 4*u(k).\nAnswer: 2*k**2 - 5*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -32 (b) -0.42 (c) -186 (d) 4 (e) -5 (f) -6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3441716377?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -10) + (-17 - -14) + -7?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*f + 12 = 22*f. Suppose -5*s = -f*d - 120, -9*d = -3*s - 13*d + 101. What is the remainder when 186 is divided by s?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 - -8955\nAnswer: 8954.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of -5 - (1 - 0 - (95 + -89)) - -2420 and 55?\nAnswer: 2420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 13*x**2 - 6 - 3*x - 22*x**2 + 14 - 2*x. Let t(y) = -2*y**2 - y + 1. Let l(p) = 2*k(p) - 10*t(p). Let n(z) = -z**2. Calculate l(n(v)).\nAnswer: 2*v**4 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(143) + 1*sqrt(143)*2)\/(sqrt(11) + sqrt(66)\/(sqrt(18)\/sqrt(3))))**2 - (-4 + ((sqrt(52) + 3)**2 - sqrt(52)))*3.\nAnswer: -567\/4 - 30*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 2 + 1 - r + r**3 + 2*r**4 to the form f*r**3 + q*r**4 + v*r**2 + j + m*r and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -10*q + 40. Let y(d) = 258*d**2 - 233*d. Let t(p) = -p**2 + 3*p. Let h(c) = q*t(c) - y(c). What is the second derivative of h(r) wrt r?\nAnswer: -526","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 e when two letters picked without replacement from teth.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3194138207 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -1.5066586\nAnswer: 7.533293","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 217120 and 5120?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = r - 69, 7*r - 3*c - 147 = 4*r. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 289 + 15148*s - 7569*s - 7489*s. List the prime factors of z(8).\nAnswer: 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -11*c - 2. Let u(g) be the second derivative of -3*g**3 + 14773*g. Determine u(i(s)).\nAnswer: 198*s + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 161 - 147.6. Let d = 1.4 - b. Let y = -11.9985 - d. Round y to three dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 18128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 31 = 2*p, 0 = -3*y + p + 69 - 1. Let m = y + -16. Suppose 3*x = 9 - 0. Solve 0 = -x*q + 2*r - 3*r - 6, -2*r - 9 = m*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(7\/4))**50*(p\/p**(-8))**(-5\/3) assuming p is positive.\nAnswer: p**(145\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4711 is divided by 152.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 202459119 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 780 divide 8679060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l + 1. Let x be -7*-2*(-6)\/(-28). Suppose -x = f + 1, k - f - 3 = 0. Let a(v) = 6*v + 6. Calculate k*a(c) + 5*m(c).\nAnswer: -c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10\/(-105)*7*(-81)\/4. Let o be (27\/(-4))\/(1\/(-3)). What is s in -u*s**2 - 1\/4*s**4 - o + 3*s**3 + 27*s = 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 282137.0123299 + -282137. Round u to three decimal places.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15 - 33 - -17 - -17) + -37.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 2*m**2\/5 - 369104*m\/5 - 2067296 = 0.\nAnswer: -28, 184580","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*m**4*r - 312*m**4 + 85*m*r - 1984*r + 2562 with respect to m.\nAnswer: 24*m**3*r - 1248*m**3 + 85*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.06 + -0.06. Suppose 3*l = -3*t + 24, -5*l + 35 = 8*t - 4*t. Which is the third biggest value? (a) 5\/7 (b) l (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -2*w + 275, 4*w = -0*w + o + 525. Suppose -2*i + w = 3*i. What are the prime factors of i?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5602.012638 - 5602. Round f to 4 dps.\nAnswer: 0.0126","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -139 - 719\nAnswer: -858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -5*i - 4. Let p be 2*(105\/10 - (i - -5)). Find the second derivative of -28*h**4 - 8*h - 5*h + p*h**4 wrt h.\nAnswer: -180*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 PM and 6:51 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.4 and 25.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and 74537?\nAnswer: -74537","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-27)\/6)\/(-9))\/(1\/(-8))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6880\/(-25800)*(-630)\/(-2)?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 780625555 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t + 11*t - 10*t.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (75 - 2) + (43 - (71 - 25))\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 v, and 1 h when three letters picked without replacement from {h: 3, v: 3, i: 6, f: 3}?\nAnswer: 54\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110001010100010000 - 1?\nAnswer: 110001010100001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-960)\/360)\/(8\/(-18)). Solve 13 = -i - 3*x, -5*i + 3*x = -n + 17 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 96440*w + 2 + 8.\nAnswer: -96440*w + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 151 = 5*r - 3*r - 5*n, -43*n = -0*r - r - 1289 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132 = -4*b - 4*x, 4*b - 49*x = -54*x + 138. Solve -11*y = -b*y - 144 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 - 5*v**2 + 2*v + 3. Let l(t) = t**3 + 14*t**2 + 13*t - 5. Let w be l(-13). Calculate p(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-630)\/(-189)*(-12)\/210*-21?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 8*h - 12*h. Let o(f) = 15*f**2 - 9*f - 81. Let s(y) = 7*y**2 - 5*y - 40. Let g(k) = h*s(k) + 5*o(k). What is the derivative of g(d) wrt d?\nAnswer: 24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k**2 + k**2 - 5*k**2)*((-3*k**2 - 2*k**2 + 3*k**2)*(0*k - 5*k + 3*k) + 9*k**3 - k**3 - 2*k**3).\nAnswer: -10*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 6 = 0, -4*y - 5*i + 18 - 73 = 0. Let x(u) = 2*u**3 + 19*u**2 - 9*u + 11. Let z be x(y). Let m(c) = 2*c**3 + c - 1. Determine m(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/12? (a) 2 (b) 2\/17 (c) 4 (d) -46 (e) -0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -71 - -79. Let d(c) = -2*c - 12. Let p(r) = 3*r + 18. Let x(y) = z*d(y) + 5*p(y). Calculate x(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**2)**(-16)\/(t**4*t**6\/t) assuming t is positive.\nAnswer: t**(-57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -22 (base 7) to base 6\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 36\/901 and 137\/786?\nAnswer: 708186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + b)*(3 - 1 - 1) + (-5 - 9 + 5)*(0*b + 2*b + 9*b).\nAnswer: -98*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 - 50*j**2 + 71*j + 1056. Determine h(-51).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 + -5. Let q(d) = 3 - 3 - 9*d**2 + d**3 - o - 2 + d. Calculate the remainder when 10 is divided by q(9).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -29*r**3 - 4*r**2 - 5*r + 10. Calculate a(-2).\nAnswer: 236","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -2*d**3 - 36*d**2 - 130*d - 1645. What is r(-17)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 18*g + 25 + 156*g**2 + 8 - 8 - 155*g**2. Let y be x(-17). Let k = 11 - y. What is the smallest common multiple of 11 and k?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 198, 340, 588, 942?\n\"Answer: 53*v**2 - 17*v + 162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the third derivative of -h**6\/1260 - h**5\/420 + h**3\/6 - h**2. Let w(u) be the first derivative of x(u). Determine f, given that w(f) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4718, 4802, 4944, 5144, 5402?\nAnswer: 5718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 AM and 11:41 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*y - 32 = 8*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + 8099724?\nAnswer: 8099720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 at least as big as 860?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20 - -12. Let y = -5 - h. Let a be 187\/(-340)*-20 - (-1 - -9). Solve -6 = -y*m + a for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 - 2*x - 5. Let r = 15 + -6. Let k = 14 - r. Let m(z) = 1. Let p(s) = k*m(s) + w(s). Find the second derivative of p(f) wrt f.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54656 is divided by 7175.\nAnswer: 4431","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 37162613?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 336808169?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a century in decades?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 14.5302*-34\nAnswer: -494.0268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 + 11*v**2 + 18*v + 9. Calculate the remainder when 35 is divided by k(-9).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 536 and 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/((z**1*z*z)\/z))\/z)**(1\/5)\/((z**8\/z)\/(z*z**(-8)*z)) assuming z is positive.\nAnswer: z**(-67\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 2*r**2. Let i(c) = 164*c + 89. Let t(f) = 27*f - 1. Let m(v) = i(v) - 6*t(v). Calculate p(m(w)).\nAnswer: 8*w**2 + 760*w + 18050","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -92 - 0 - (-34 + 22 - (1 + 3 - 16))?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-5*(-3*sqrt(2)*-1 + -1) + ((sqrt(8) + ((sqrt(8) - sqrt(128))*1 - sqrt(8)))\/(sqrt(4) - sqrt(576)*-2)*5)**2.\nAnswer: -107\/25 + 15*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 182, 377, 596, 851, 1154?\n\"Answer: 2*a**3 + 181*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 (base 15) in base 9?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1932983055 to the power of 1\/3, to the nearest integer?\nAnswer: 1246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13363.\nAnswer: 7, 23, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 12267 - 3768. Suppose 5*y + 2*z = -s, -2*z = -0*z - 8. Let j = y + 1180. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ug when two letters picked without replacement from uuulullgulluullul?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(2\/11)\/(i\/i**(-17)) assuming i is positive.\nAnswer: i**(-196\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-2) + 160\/(-64)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.43 * 0.0666\nAnswer: 0.028638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 2. Suppose -o + 3 = -i*o. Suppose 0 = -3*y - o, -y - 49 = -5*h - 2*y. What is the least common multiple of 7 and h?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-18)\/(-12))\/((-6)\/(-2540)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 103417314?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**2 + 17*m + 48. Let l be u(14). Let b = -86 + l. Solve 7*v + 9 = b*v, -15 = -k + 5*v for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/6 + (199\/2)\/1. What is the greatest common factor of y and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 23 = -g - u, 0 = u + 3. What is the greatest common factor of 13 and g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 - (-34)\/16)\/1. Let j(y) = 4*y - 25*y**3 + 1 + 24*y**3 - 15*y + 7*y**2 + 24. Let c be j(6). Put 8, c, 0, a in decreasing order.\nAnswer: 8, a, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10657 or 12478?\nAnswer: 12478","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**4 - 2*y**4 + 5*y**4)*(-4 + 1 + 1)*(5 + 16*y - 5).\nAnswer: -32*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 684?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 16228475?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*(35\/(-532))\/(-5)*2?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 697362 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(-5) + (-292)\/20. Let l be (i\/(-21))\/((-1)\/(-3)). Suppose 11*j - 85 = 3. Solve 2*w - 2*r - l = 0, 2*r - r - j = 4*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -26*k. Let f(g) = 30*g**2. What is n(f(s))?\nAnswer: -780*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 374 = b. Calculate the greatest common factor of 34 and b.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -50.3 - -25.7. Let d = s - -25. Which is the third biggest value? (a) d (b) 4 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3870877, 7741752, 11612627, 15483502, 19354377, 23225252?\n\"Answer: 3870875*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of 1\/60*h**4 + 0*h**3 + 0*h - 1\/300*h**6 - h**2 + 0 + 0*h**5. Factor n(j).\nAnswer: -2*j*(j - 1)*(j + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -2*y**5 - 5740*y**4 - 4147034*y**3 - 40995256*y**2 - 69572360*y - 32718400 = 0.\nAnswer: -1430, -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1264 is divided by 386.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 3)*(227 + 2877 + 743)*(-4*w + 5*w - 2*w)*(0*w**2 + w**2 - 3*w**2).\nAnswer: -23082*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18324 and 4364694.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*u + 2*u + 3*u)*(1448 - 8054 + 1419 - 4640) to m + j*u and give j.\nAnswer: 9827","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one quarters of a microgram in nanograms?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -12*i + 64. Let l be u(-13). Suppose 77*c - 73*c = y - l, 4*y - 910 = c. What are the prime factors of y?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 - 26*q**2 - 48*q - 6. What is l(-24)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -11*q**2 - 3*q. Let t(w) = 10*w**2 + 2*w. Let n(z) = -2*l(z) - 3*t(z). Let c(o) = 5*o. Give c(n(r)).\nAnswer: -40*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*k - 17*t + 13*t + 18, t - 22 = -4*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**1\/(m**(3\/4)\/m))**(-4)\/((m\/(m**(-1\/3)*m))**(9\/2))**(2\/65) assuming m is positive.\nAnswer: m**(-328\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 52 - -264?\nAnswer: 2b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5245 - -5238. Let f(a) = -2*a - 41. Give f(v).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-72)\/8)\/((-108)\/192)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 2*w - 548, -l - 2*w + 166 = -6*w. Let j = l - -149. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -6 - u**2 - 2 - 3 + 13*u. Let a = 10 + 1. What are the prime factors of d(a)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4140?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -168 = -3*y + d, d + 1 = 4. Suppose 6*n = 3*n + y. Calculate the remainder when 92 is divided by n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 532 + -808. Let z = g - -341. What is the highest common factor of 585 and z?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*b + 73 = -16 + 14. Let u be (4\/(-6))\/((-6)\/54). Suppose 7*l = u*l + 6. Solve l = -b*g + 21 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**2 + 2*b - 1. Let n be q(-3). Let i(z) = -4*z - 6. Let t be i(-8). Let m = n + t. List the prime factors of m.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*p**2\/4 + 1359*p\/4 - 1371 = 0. What is p?\nAnswer: -457, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*h - 6*h - 3*h - 2*h**2 + h**3 to s*h + b + a*h**2 + r*h**3 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 110126.0084 + -110101. Let m = x + -25. What is m rounded to three dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 133, 125, 111, 91, 65?\n\"Answer: -3*d**2 + d + 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -a*f*q - 375*a*f - 2*a*q + 212401*a - 6104687*f*q + 8*f - 2*q wrt a.\nAnswer: -f*q - 375*f - 2*q + 212401","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58 = -2*z + 267*z + 4563 for z.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12525 take away 42041?\nAnswer: -29516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -39 + 23. Suppose 7*r - 3*r = -w - 37, 2*w - 5*r + 113 = 0. Let f = m - w. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l + 11*l - 15 = 0. Solve -4*d + 3*j + 18 = -3*d, -l*d - 5 = 4*j for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z + 314 = 1223. Is z a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 32*y + 4. Let u be d(5). Let v = 169 - u. Solve -4*k + 2*l - 24 = 0, -v*l + 3*l - 12 = 5*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of -m**4\/12 - 5*m**3\/2 + 129*m**2. Give h(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.1556998 to one dp.\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 246 + -107. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 30*z**2 - 16383*z - 14778. Give s(547).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (21 - (-14 - -14)) + (4 - 1). Solve -12*s = -w*s + 36 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130 = -3*n + 490. Suppose 0 = 125*w - n*w - 1530. What is the tens digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*h**3 - 3*h**3 + 40*h**3)*(-2 - 2 + 1 + (-5 + 1 + 2)*(-3 - 1 + 2)).\nAnswer: 17*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4388?\nAnswer: 2, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6913*r - 44*r**2 + 6913*r + (-1 - 3 + 3)*(-5*r**2 - r**2 + 5*r**2) + 0*r**2 - r**2 - 6*r**2.\nAnswer: -50*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3003?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*i = -12*i + 14496. List the prime factors of i.\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 74 = 3*v. Let u = v - 16. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 501 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = 5*u + 17. Let l(i) = -u*i + 0 + 8 + 0 + i**2. Let o be l(10). Put o, 2, -5 in ascending order.\nAnswer: -5, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.02 - 1.98. Let h = 58 - 66. Let m be -5 - (2 + (h - -4)). Which is the third smallest value? (a) 3\/2 (b) n (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3247650.\nAnswer: 2, 3, 5, 7, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10 - 5 - u**2 + 5*u**3 + u**2 to t*u**2 + a + s*u**3 + r*u and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5d + 45940?\nAnswer: 4599d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(112) - sqrt(7))*1)**2 - (-1 + sqrt(847)).\nAnswer: -11*sqrt(7) + 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 11251188?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3408301?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -36250*((-4 - -4) + 4). Round b to the nearest ten thousand.\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/17)\/(s*s*s**(2\/9))*((s\/(s*s**(-2)))\/s)\/(s\/(((s*s**(-2))\/s*s)\/s)))**(-2\/147) assuming s is positive.\nAnswer: s**(1328\/22491)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -108598 * -0.3.\nAnswer: 32579.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/(15\/(-6)) - -6. Let o(f) be the first derivative of 11*f**2\/2 + 17*f + 11. What are the prime factors of o(x)?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 4*y**5\/5 + y**4 - 11*y**3\/5 - 7*y**2\/5 + 7*y\/5 + 2\/5 = 0?\nAnswer: -2, -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 160 and 14281860?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - -7639778?\nAnswer: 7639778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -0*f + 10, 4*b - f - 14 = 0. Let r = b + -7. Is (0 - -75) + (-2 - r) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -4*n**2 - 2*n + 2. Let w be t(-4). Round w to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*b - 861*b**2 - 6*b + 26*b - 17*b - 6*b in the form t*b**2 + z + u*b and give t.\nAnswer: -861","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 14 - (-5 + (12 - 19 - -1)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -5 + 6 + -1 + 24. Suppose 4*k + 0*y = 2*y + 70, 0 = 2*k - 2*y - 36. Let f = k - 5. Calculate the greatest common divisor of f and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 2*u - 2. Let l be k(7). Let r be 3\/4 + 39\/l. What is the second derivative of -2*f**r - 6*f**4 - 4*f + 2*f**4 wrt f?\nAnswer: -72*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*z - 40 = 2*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 6950*f + 7311377. Determine x(-1052).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 591019430?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nmm when three letters picked without replacement from {n: 6, m: 7}?\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 y, and 2 g when four letters picked without replacement from tywnggwgztwnyttttz?\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-77)\/(-21) + -1)*15303\/2. Suppose 5406 = 10*m - z. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00004202 to 6 decimal places.\nAnswer: -0.000042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r. Let q(u) be the third derivative of 0*u + 0*u**4 + 0*u**3 + 1\/30*u**5 + 3*u**2 + 0. Calculate o(q(n)).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2511, 2 in decreasing order.\nAnswer: 2, 0, -2511","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 74*z**2 + 3*z + 3. Is m(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53694.\nAnswer: 2, 3, 19, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204) - (-4*((sqrt(204) - (sqrt(204) - (-1*sqrt(204) - sqrt(204)))) + sqrt(204)) - sqrt(204)))\/(sqrt(12) - sqrt(1200)*-2).\nAnswer: -2*sqrt(17)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q**3 - 2*q + 3. Let n be y(1). Let h = 6 - n. Factor -20*r**5 - 11*r**5 + 18 + 18*r**4 + 92*r**2 - 66*r + 29*r**5 - 60*r**h + 0.\nAnswer: -2*(r - 3)**2*(r - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 190?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/11 (b) 0.3 (c) -28 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 265573\/66 + (-2)\/(-12)?\nAnswer: 2, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 PM and 5:37 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 7*z. Let s be y(4). Let d = 17 - 1. Let n = s - d. Is n a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/26499 and -103\/14971935?\nAnswer: 14971935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 b when two letters picked without replacement from {m: 1, x: 5, o: 1, b: 2}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j = -937 + 397. Let r = 13 - 34. Let v = r + j. List the prime factors of v.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 7:58 AM?\nAnswer: 8:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 46484440?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + -12. Let s be -39 + 3\/(-3 + 2) + 2. Let m = x - s. Is 14 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1496488009.\nAnswer: 1496488009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - 6)\/(0 + -1 - 2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a decade in months?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 848*f - 3538 = 973*f - 38 for f.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 315355 and 295?\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -471*c - 35 = -5*f - 468*c, -4*f - 3*c = -28. Let h be (53 + 8)\/(2\/6). Suppose h - 51 = 4*j. Calculate the remainder when j is divided by f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence od when two letters picked without replacement from {o: 1, y: 2, d: 7}?\nAnswer: 7\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 513125 (base 8) in base 2?\nAnswer: 101001011001010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 15392 (base 12) to base 2\nAnswer: 111010011011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2103.808 rounded to the nearest integer?\nAnswer: -2104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/6)\/((-3)\/(-9)). Suppose -m*f + 3 = f, -4*s + f = -15. Suppose s*d = 4*y + 76, 0*d - d + 20 = -2*y. Is 3 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2137\/6 + -356. Let j(q) be the third derivative of -1\/20*q**5 + 0*q - u*q**4 + 0*q**3 - q**2 + 0. What is the second derivative of j(i) wrt i?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 4*k + 123 = -36*k, -2*k = 4*i - 6 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q*q**(2\/17)*q*q*q\/(q**3\/q)*q\/q**(-4\/7)*q\/q**7*q assuming q is positive.\nAnswer: q**(-37\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 29321.52 years?\nAnswer: 293.2152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 2*l**3 + 2*l**2 - 3*l - 3. Let a be x(-2). Let h(b) = 25*b - 12*b - 47 + 44 - 12*b. Determine h(a).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 b, and 1 i when three letters picked without replacement from bbbbbiiibbbijbijbhbh.\nAnswer: 11\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 + -10)*(-4)\/2. Suppose -168 = -5*o - 48. What is the greatest common factor of o and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the third derivative of -m**5\/30 + m**2. Let w(y) = -66*y + 140*y - 71*y. What is w(t(a))?\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 474\/11? (a) -92 (b) -0.003 (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -393 (b) -2\/19 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*y**2 + 2*y**3 + 2*y**3 - 52 - 5*y**3 + 53 in the form a + u*y**2 + l*y**3 + o*y and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lqlq when four letters picked without replacement from lqqlqqqqqqqlqqrq.\nAnswer: 33\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(880)*2*-4)\/(((sqrt(90)*2)\/sqrt(9))\/sqrt(2)).\nAnswer: -16*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1311097 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 7057*a**2 - 505*a - 1509. List the prime factors of x(-3).\nAnswer: 3, 31, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 261783 and 2610.\nAnswer: 2617830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (21\/(-7))\/((-9)\/24). Let i = 284 - b. What is the remainder when i is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -154118450 - 49827\nAnswer: -154168277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 21996 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 253865 to the power of 1\/2, to the nearest integer?\nAnswer: 504","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-1562)\/780 + 2)*-163*275\/440 and -115\/288.\nAnswer: 3744","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -2*w + 77. Let t(n) = -6*n + 333. Let z(r) = -4*s(r) + t(r). Let y(k) = 3*k + 38. Let f = 1 + 7. Determine f*z(p) - 5*y(p).\nAnswer: p + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*i - 10332 = -10712 for i.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 139 divide 485944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 156 and 2054.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 0*h = v + 13, -3*h - 5*v = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 11, 9, -3 in decreasing order.\nAnswer: 11, 9, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:15 PM and 11:27 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -18*b + 15. Let o(p) = p - 1. Let g(x) = -45*o(x) - 3*z(x). Suppose -2*c + 14 = 5*n, -2*n + 4*c - 3*c = -2. Calculate g(n).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 4675, 40005, 135899, 322639, 630507, 1089785?\n\"Answer: 5047*o**3 + o - 373","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 4*j**3 + 15*j**2 - 3*j - j**3 + 519 - 519 - 39*j = 0.\nAnswer: -7, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89 = 5*n - 21. Factor 1 + 9*u**3 + 16*u**2 - 3*u**3 + 3 - 8*u + n*u.\nAnswer: 2*(u + 1)**2*(3*u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of 6*g**2 - 1\/3*g**3 + 0 - 1\/20*g**5 - 1\/2*g**4 - 13*g. Let q be c(-5). Which is smaller: 1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73327 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 27896788 + -2?\nAnswer: 27896786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 175 = -597*k - 6989 for k.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/3, -740, -3, 758\/3, -1.2?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1845538, 3691063, 5536588?\nAnswer: 7382113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-15)*s)**0\/(s\/((s\/(s\/(s*(s\/(s\/(s\/s**(2\/27))))\/s)*s))\/s)*(s**(-5\/17)\/s)\/s) assuming s is positive.\nAnswer: s**(101\/459)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 + 8*g**2 - 12*g - 9. Let i be w(-9). Suppose 2*o - i = -o. What is the greatest common factor of o and 66?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.17539247 - -88.33\nAnswer: 88.15460753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + -2 + 0 + 0. List the prime factors of 1\/(1\/15) + v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -545163 or -545167?\nAnswer: -545163","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 966 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the second derivative of b**4\/12 - 7*b + 37. Let l(v) be the third derivative of v**5\/60 + 24*v**2. Determine -6*l(d) + 3*t(d).\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3844 + -1957.\nAnswer: 1887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 - 8. Let i(y) be the first derivative of 7*y**2\/2 - 2*y - 3. Is i(w) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 20 and -1457.\nAnswer: -29140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10146552254 - 0?\nAnswer: 10146552254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 6 + 3 + 8*h + 6*h + 3.\nAnswer: 14*h + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2680 and 120.\nAnswer: 8040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 19\/4 of a gram?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.2028 rounded to 2 decimal places?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -855, -870, -885, -900, -915?\n\"Answer: -15*q - 840","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 158*z = 80*z + 90*z - 204 for z.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*t + 16 + 5. Let x(i) be the second derivative of -1\/4*i**t - 1\/8*i**4 + 0 - 5*i + 0*i**2 + 3\/20*i**5. Factor x(l).\nAnswer: 3*l*(l - 1)*(2*l + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7963551485?\nAnswer: 5, 17, 93688841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 526032939 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*d**2 + d - 4355 + 4355)*(2 + 1 - 1 + (-4 + 2 + 0)*(-3 - 5 + 6)).\nAnswer: 48*d**2 + 6*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -h. Let v = 8 - 20. Let l be (-4 - -2 - -1)\/(4\/v). Solve i = t + 9, -2*t + h*t + 7 = l*i for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2754*d - 27 = 2751*d. Let m(p) = p**2 - 7*p - 22. What is m(d)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -597205.46 rounded to the nearest one thousand?\nAnswer: -597000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 2*o**2 + 1. Let v be z(-1). Calculate the common denominator of -49\/12 and v*6\/9*52\/(-20).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from {u: 1, d: 1, g: 7, x: 2, i: 1, q: 2}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ny when two letters picked without replacement from nyoyo?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -17 or -31\/2?\nAnswer: -31\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 2345710, 0.4?\nAnswer: 2345710","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3736 = -d - 25*n - 3755, 3*d - 4*n + 57 = 0 for d.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.5876862g?\nAnswer: 587686200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4\/12)\/((-2)\/(-18)). Suppose 2*q = -2*f + 28, -u*f = -2*q + 14 + 19. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -56 + 2. Let j(s) = s - 5. Let l be j(7). Solve -5*u = -3*y + 31, -5*u = g - l for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -80 - -457. What is the remainder when h is divided by 96?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4 + 0\/(-2) - (-558 - -10). Let s = -550 + r. Which is smaller: 26\/43 or s?\nAnswer: 26\/43","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 7*d + 6. Let o(g) = g + 1. Let n(r) = -5*o(r) + q(r). Let i = -8 + 5. Let s be (8\/3 - 2)*i. Calculate n(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 + 0. Suppose 0 = -2*g + 3*g. Is 2 a factor of g + (-5)\/(p\/4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.184 or -1\/2?\nAnswer: -0.184","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7.96 - 0.04. Let q = y + 6. What is the second smallest value in 0.1, q, 0.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38636 is divided by 3060?\nAnswer: 1916","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-22) - (-7 + (-9812)\/(-242))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 = -28*h - 57 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -271, -2, 184, 2, -14, 5 in decreasing order.\nAnswer: 184, 5, 2, -2, -14, -271","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 39725118859 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 736281 and 182.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15240750*l**2*m*t - 613*l**2*m - 2*l**2*t + 1135*l**2 + 12*m with respect to t.\nAnswer: 15240750*l**2*m - 2*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide (-122976)\/(-1830)*(1 - 246\/(-4))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c - 5. Let l = 62 - 41. Let z be 140\/l*18\/15. Let n(h) = h**2 - 7*h - 13. Let w be n(z). Let u(q) = 3*q - 9. Give w*u(k) + 9*i(k).\nAnswer: -6*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-4 + -1*(sqrt(200) + 1 + sqrt(200))))**2.\nAnswer: 200*sqrt(2) + 825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/860, -1, -0.05.\nAnswer: -1, -0.05, 3\/860","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-4\/17))**(-43) assuming k is positive.\nAnswer: k**(172\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 8 - 0, 0 = -3*m + 4*r + 116. Calculate the highest common factor of m and 198.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-126)\/(-28)*20\/(-15)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2980523 to the power of 1\/2, to the nearest integer?\nAnswer: 1726","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -2*q**2 + 26*q - 3. Calculate t(12).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*g = -5*c - 91*g + 10, 2*c = -24*g + 4 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 - 14*w**2 - 14*w + 2. List the prime factors of s(-13).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uno when three letters picked without replacement from {h: 2, o: 1, n: 11, u: 1, z: 4}.\nAnswer: 11\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -2*h - 2*h + 6*h. Let a(n) = 9*n. Let k(l) = 8*l. Let p(b) = -3*a(b) + 4*k(b). What is p(v(s))?\nAnswer: 10*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = -497*h + 501*h - 8, 0 = -3*h - s + 6 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 73839, 62521, 51203, 39885, 28567?\nAnswer: 17249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*f**2 - 4182*f + 8334*f - 2*f**3 - 4166*f in the form a + t*f + i*f**2 + x*f**3 and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/3, -4\/5, 1.19?\nAnswer: 1.19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1935*k - 95224 + 31369 for k.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29 + (20 - 10) - (-23 - -13 - -17).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 5*m - 22, -4*m + 4*v = v - 18. Let y(k) = 7*k + 8. Let t be y(m). Let c = t + -248\/5. Do 4 and c have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 565 + -72. Let j = 1029\/2 - v. Does j = 22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -16 + -120?\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 4532*o - 65 = 4537*o, 0 = x - 3*o - 25 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18 + 30. Let g(l) = -l**2 + 20*l + 9. Let q be g(f). Suppose q = 5*u - 30. Does 14 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 a when three letters picked without replacement from qqfqa.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 2*s**2 - 4. Calculate the remainder when k(-5) is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22484 (base 10) to base 13.\nAnswer: a307","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13888 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 1420*u. Suppose -l + 2 = 1. Let x be z(l). Let m = x + -750. Round m to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1625508980 to the nearest integer?\nAnswer: 1176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -184 by -26.\nAnswer: 92\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 25901722*x - 48986223 wrt x?\nAnswer: 25901722","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 135 and 488535.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7149*(-2)\/(48\/(-8))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*k + 49*k - 89*k.\nAnswer: -14*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + 3. Let w be ((-12)\/(-42))\/((-8)\/(-7) - 1). Solve -2*d = l, 5*d = -w*f - f + 5 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*f**3 + 62*f**2 - 92*f + 145650 wrt f.\nAnswer: -15*f**2 + 124*f - 92","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 158938500 divided by 875\nAnswer: 181644","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 104\/(-364)*((-2)\/(-4))\/1.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4, 86 in decreasing order.\nAnswer: 86, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 4*d - d - 1, d = -5*w - 9. What is the units digit of 36\/(3*w\/(-6))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -2*j + 2. Let f be l(2). Let h = f + 2. Let q be -2 + 6900000 + h + 2. Round q to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 4*y = -68, 10*s - 5*s = -5*y + 110. Let o = s + -19. Calculate the common denominator of -41\/21 and (o\/18)\/((-10)\/186).\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 r when two letters picked without replacement from rrrryyyr?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19 (base 10) to base 9.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 207 and 786945.\nAnswer: 2360835","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -16, -3\/7, -0.1?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -7*r**2. Let i(h) be the second derivative of -h**3\/3 + 5*h - 8. Calculate m(i(w)).\nAnswer: -28*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*a**4 + 62*a**2 + 524 - 514 - 21*a**3 - a**4 wrt a?\nAnswer: -216*a - 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5852089 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 AM and 6:27 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {m: 7, g: 5, r: 3, j: 1}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 1:13 AM?\nAnswer: 11:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence siff when four letters picked without replacement from {s: 3, b: 1, h: 2, d: 3, f: 2, i: 1}.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14.04 - 14.02993. Let d = u - 0.01. Round d to 5 decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-32)\/24*9\/(-30)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddx when three letters picked without replacement from {o: 5, l: 1, d: 4, x: 8}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*x**2 + 1 - 1 + (-6 + 2 + 31)*(0 - 2*x**2 + 0).\nAnswer: -57*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the second derivative of -g**5\/20 + g**4 - 2*g**3 + 3*g**2\/2 + 8*g. Let x(v) = 14*v + 249. Let b be x(-17). Determine p(b).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23001800 is divided by 2823?\nAnswer: 2819","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hson when four letters picked without replacement from sqhnonn.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -120*q**2*w**3 - 3*q**2*w - 333*q**2 + 2*q*w wrt w?\nAnswer: -360*q**2*w**2 - 3*q**2 + 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -2, 1\/29, 413?\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -101 - -62. Let x = 114026 - 114025.7. Sort 3, f, x, -0.5 in increasing order.\nAnswer: f, -0.5, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 10) to base 16\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnaa when four letters picked without replacement from {n: 7, a: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.2, -1\/20, -4\/7?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/1257858 and 77\/59898?\nAnswer: 1257858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.32125*0.1.\nAnswer: 0.032125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1259 (base 11) in base 4?\nAnswer: -121211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 1 - 11 + 4 = -2*q, -1207*d + 1208*d - 11*q + 17 = 0 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14335?\nAnswer: 5, 47, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gssghvl. What is prob of sequence vgh?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12\/(-9)*9\/3. Let j = 0 - x. Find the second derivative of 4 - j - w**5 - w wrt w.\nAnswer: -20*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -285*f**4 - 74*f - 7. Let v(s) = 1424*s**4 + 371*s + 37. Let a(l) = -2*v(l) - 11*w(l). Find the second derivative of a(b) wrt b.\nAnswer: 3444*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*x - h = 2*x - 15, -2*h = -x - 12 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (-1 - (-4 + (3 - -1))).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*108\/((-50544)\/(-4329)).\nAnswer: -37\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-8) + 525\/20. Suppose -5*m + j = -54. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30 and 276?\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (-8 + 0 - -9).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 209 - 77. Factor 84*l**2 - 100*l - 4*l**3 + g*l**2 - 112*l**2.\nAnswer: -4*l*(l - 25)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10941, -21887, -32833, -43779?\nAnswer: -54725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 637?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 22 - 400524212?\nAnswer: -400524150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 25 = 5*t, -2*u = 2*t + 8. Solve -5*p - 21 + u = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-12) + 0 + -3 + 656\/168.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1788*s**4 - 1059?\nAnswer: 7152*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a**(-22)*a)*a)**(-25)*a**9\/(a*a**(-30)*a*a) assuming a is positive.\nAnswer: a**(-539)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-194)\/(-1261) - (-108)\/(-533)?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 + 9*t**2 - 6*t - 13. Let l be b(8). Let h(f) = -2 + f + l - 13*f**2 + 20*f**2 + f. What is h(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s**2\/7 + 38*s\/7 = 0. Calculate s.\nAnswer: 0, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -504*h + 499*h + 25. Solve 0 = -27*d - h*d - 96 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of m**3\/2 - 3*m**2\/2 + m. Let o(x) = -x**3 - 14*x**2 + 7*x - 126. Let d be o(-15). Let q be d + 9 + (8 - 8). Calculate t(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 3*q**5 + 6*q**4 + 10*q**3 - 7*q. Let d(t) = -t**5 - 2*t**4 - 3*t**3 + 2*t. Let u(i) = 7*d(i) + 2*s(i). Factor u(n).\nAnswer: -n**3*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1545 (base 7) in base 2?\nAnswer: -1001101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -4104, -4106, -4108, -4110, -4112?\n\"Answer: -2*b - 4102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xexdxedejep. Give prob of sequence dp.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*h + 17 - 22 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 2*b**2 + 3*b - 1. Let n(r) = 12*r + 24. Let h(p) = 23*p + 51. Let v(c) = 3*h(c) - 5*n(c). Let f be v(-4). What is o(f)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8503\/20 + 1699\/4. Suppose -2*a = g - 6, 0 = 4*a - g - 10 - 2. Is m less than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 - 4*t. Let b be 0*1\/2 - 1. Let q(m) = -m. Let k(r) = b*h(r) + 5*q(r). Suppose -20 + 4 = 3*p - 4*s, -16 = -2*p - 4*s. Determine k(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1694 = 8*t + 3*t. Is 26 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3641.97 to the nearest 100.\nAnswer: -3600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2821, -2, -5 in decreasing order.\nAnswer: 2821, 4, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -k - 767*k**2 - 812*k**2 + 1635*k**2 in the form m + u*k + n*k**2 and give n.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*n**5 + 28*n**4 - n**2 + 809 wrt n?\nAnswer: -300*n**2 + 672*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1685?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 m when two letters picked without replacement from {i: 2, m: 9, s: 5}?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -41 + 6. Suppose 0*y - a*y = -5292. List the prime factors of y.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 56*f - 13. Let p be o(-2). Let b = p - -350. Does 15 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 - -11. Suppose -f - 5*q + 21 = 0, 2*q + 60 = a*f - 2. Is 7 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times -130485.754\nAnswer: 39145.7262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 84 + -54. Calculate the greatest common divisor of 10 and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -198.8 - -199. Which is the closest to 1\/3? (a) 25 (b) -4 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 120\/1890*6\/4.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 130147852.\nAnswer: 2, 17, 1913939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 722643.999925 + -722461. Let u = 183 - p. Round u to four decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104169198?\nAnswer: 2, 3, 7, 354317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -107, 1\/11, 0 in ascending order.\nAnswer: -107, 0, 1\/11, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -39, 0.04, -0.241, 6.5 in descending order.\nAnswer: 6.5, 0.04, -0.241, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (30\/1)\/((-30)\/141090). Round d to the nearest 10000.\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28666249 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-2))\/5*0*-1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.03 - 0.03. Which is smaller: -200 or s?\nAnswer: -200","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4697 or -4694?\nAnswer: -4697","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/12*3\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 - -8. Suppose q = -2*l + 5*l. Let f(k) = k**3 + 14*k**2 + k + 17. Let w be f(-14). Solve n - w*n - 6 = l for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 514.999998532 + -515. What is l rounded to 7 decimal places?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86738 - 82354 = -22*y. What are the prime factors of y?\nAnswer: 2, 3, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * -4.9\nAnswer: 1.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -r + 3*k, 32*k - 19 = 4*r + 29*k for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, 13, 20, 27?\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 1 = -21. Let m = -8 - h. Suppose a + 4 = -m*q, -4*q + 3*a + 12 = -2*q. What is q rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -s - v - 28, 3*s + 4*v - 20 = 0. Let r(d) = d**2 - 11*d - 10. Calculate the smallest common multiple of r(s) and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2153 - 5cc?\nAnswer: 1a76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-4))\/((-27)\/90) - -12.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 + 10*s**2 + 2*s - 2. Determine h(10).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 298192.9 millilitres in litres?\nAnswer: 298.1929","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8480 + -320. What is the thousands digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-270)\/(-180))\/(3\/((-36)\/(-10))).\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 5*q = 7, 13*x - 5 = 11*x - 3*q for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*y - 5*z, -25*y + 27*y = 5*z - 21 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - -1 - (-3 + -2 - -8)) + -16?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1048524?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -497 + 4?\nAnswer: -493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 b when three letters picked without replacement from {i: 2, s: 3, b: 2, t: 5}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2910.74 - -0.183\nAnswer: 2910.923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*n**2 - 11*n**2 - 13*n**2 - 3*n - 15*n**2 + 0*n**2.\nAnswer: -53*n**2 - 3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f**2. Let x(j) = -90399*j. Determine c(x(b)).\nAnswer: 16343958402*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.09 + -0.11. Let a = 2 - 1.7. Let o = a + y. What is the second biggest value in o, -4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-1\/4)\/n)\/n*n**(-1\/5))\/(((n*n**(-3))\/n)\/(n*n\/n**6)) assuming n is positive.\nAnswer: n**(-49\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = -5*d + 26, -10*i + 3*d + 41 = 66 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1994964807?\nAnswer: 3, 11, 17, 3556087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3382, -2, -4, -6, 5, -33 in ascending order.\nAnswer: -33, -6, -4, -2, 2, 5, 3382","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.1521679955227 and -0.2.\nAnswer: -0.3521679955227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 16) to base 10\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 5*s + 135. Let j be h(-27). Suppose 0 = -3*w - 10 - 8. Let l(u) = -u**2 - 3*u - 2. Let q be l(-3). Sort w, q, j in decreasing order.\nAnswer: j, q, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -2*b - 20. Let h be i(-12). Suppose h*s - 32 - 8 = -4*c, c - s = 18. Is 5 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 3*q + 7 = 16, 5*q + 20 = 0. Solve u = -j - 4*s, -3*j + 0*s = -3*s - 9 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -34*m - 18 + 3*m**2 - 26 - 10*m + 42 to o*m + p*m**2 + d and give o.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 44\/6*6\/(-4). Let a = 6 + f. Let l = -74 - -74. What is the nearest to l in 0, -3, a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16457533?\nAnswer: 16457533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 3*f**3 - 3*f**2 + f - 1. What is c(2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -54.72 plus -18?\nAnswer: -72.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-3)*2\/(-6). Let j = -77 - -430. Let c = j + -346. What is the nearest to c in -3, -1\/2, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -415 divided by 83\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/1*14\/7\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2*s**2 + 3 + (2*s + s - 4*s)*(-1 + 1 - s))*(-3*s - 7*s + 3*s).\nAnswer: -21*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s + 6 - 6 - 2*s.\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -17\/5? (a) -2 (b) -0.5 (c) 0.2 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h\/h**(8\/3))**(-3\/19)\/(h\/(h**(-3)*h*h))**(1\/11))**(-13) assuming h is positive.\nAnswer: h**(637\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 80929.09 millimeters in micrometers?\nAnswer: 80929090","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.2 - 3.2. Let a = 2 + c. Let h = a - -3.4002. Round h to 3 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.098 + -0.698. What is q rounded to zero dps?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 21*q + 4*q + 3 + 3 to f + p*q and give p.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence flmb when four letters picked without replacement from {m: 1, f: 1, b: 2, l: 2, i: 2, x: 1}.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 734953181 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 - (23 - (-2 + 4)). Let g = 10 + q. Let u = g - -17. Solve 2*k + 12 = -5*t, -2*t - u*k + 8 = -t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 29*a**2 - 2*a - 1. Let x be d(-1). Suppose -12 = -4*g, -3*g + x = -o + 4*o. Suppose o*r - 2*r - 215 = -c, -5*c = 4*r - 172. Is r a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1405 - 468*j - 381*j + 3305 - 7374*j wrt j.\nAnswer: -8223","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17810?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - w = -3*s + 75, 0 = -2*s - 2*w + 146. Differentiate 51*t - s - 16*t - 130*t with respect to t.\nAnswer: -95","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19 - -28. Let h = m - -24. What is the remainder when h is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2049?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/2*(-1 - 3). Let m(u) = u**3 + 8*u**2 + 9*u + 15. Let s be m(-7). Let q(i) = -i**2 + s + 3*i + 5 + 3*i + f. Give q(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 1404?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 173237 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3675 - 3683. Let p = -11\/10 - -3\/2. Is s smaller than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 - 5*y**2 - 6*y - 2. Let h(x) = x**2 + 14*x + 30. Let t be h(-12). Calculate l(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.5510684 decades?\nAnswer: 5.510684","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -281\/8 - -57\/2. Let q = 567\/88 + s. Which is the nearest to 2\/53? (a) -0.5 (b) 1 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 63*i = -64*i - 116*i + 240*i + 9, f - i = -1 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/((-18)\/14) - (-2)\/(-6). Find the first derivative of r + q - 4*r + 38*r - 15 wrt r.\nAnswer: 35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + d = 4*d - 27, y - d - 15 = 0. What is the least common multiple of y and 99?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 149114598 by 6.\nAnswer: 24852433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -175 (base 13) to base 9\nAnswer: -324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 239, 1177, 3179, 6605, 11815, 19169, 29027?\n\"Answer: 60*q**3 + 172*q**2 + 2*q + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.04, -7, 0.4, -4 in descending order.\nAnswer: 0.4, 0.04, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -4064*g - 14. Let w(t) = -2031*t - 7. Let p(v) = -5*w(v) + 2*y(v). Let b be p(-1). Round b to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 7*h - 88. Let l be r(12). What is the remainder when 192 is divided by l*2\/(-8) + 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -18355612.\nAnswer: -1\/18355612","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12421214 (base 5) to base 3.\nAnswer: 20021011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 183 and 33?\nAnswer: 2013","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16 by 11.\nAnswer: 16\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*b**5*f + 104*b**4*f**2 + 2*b*f**2 - 26*b - 4*f**2 wrt b.\nAnswer: 140*b**3*f + 1248*b**2*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 120801 and 136.\nAnswer: 16428936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j - 2. Let x be g(3). Let b(d) = 1710001*d**3 - 2*d**2 + 1. Let v be b(x). Suppose 0 = -0*i - 3*i - v. Round i to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1017 a factor of 31625649?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (414\/(-8))\/((-4)\/(-16)). Let p be (-3)\/5 + j\/(-495). Let n = -4\/85 + -6\/17. What is the nearest to -2\/5 in n, p, 3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 713 is divided by 292?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150646 is divided by 5639?\nAnswer: 4032","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 8:22 PM?\nAnswer: 3:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86708 = 91*r - 305733 + 110250. What is the remainder when r is divided by 238?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 112.0000019 - 112. What is n rounded to six dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*g**2*y*z**3 - 6*g**2*y*z - 16*g**2*z**3 + g**2*z**2 - y + 2*z**3 wrt z.\nAnswer: -12*g**2*y - 96*g**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -2*o**3 + o + 1. Suppose -3*a - 12 = -0*a. Let q(s) = -s**2 - 5*s - 2. Let r be q(a). Calculate z(r).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a century in years?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*n + 49349 - 17381 = 0. Calculate the remainder when n is divided by 178.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/8 of a decade?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) + 1 + 3 + -5 + sqrt(425).\nAnswer: -1 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (100\/(-875))\/((-8)\/15).\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3034, -6456, -9866, -13264?\n\"Answer: 6*l**2 - 3440*l + 400","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 + -2)*1\/1042. Let s = 21367\/6252 - v. Let b = 1943\/6 + -323. Calculate the common denominator of s and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12258563 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 421934, 421937, 421940?\n\"Answer: 3*q + 421931","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 40 = -3*z, 5*z - 45 = -5*o + 9*z. Solve o*j + 40 = 6*v - v, -j - 11 = -2*v for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o - 4. Let w be l(-7). Let a(z) = z**2 + 4*z + 5. Let p be a(-4). Suppose 5*f + 35 = -w*x, 12 = -p*f - 8. Are x and -6 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3544*i**2*l**4 + 4*i**2*l - i**2 - 1015*i*l + i + 4347*l**3 - 15*l - 2 wrt l?\nAnswer: 42528*i**2*l**2 + 26082*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 98640173 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -160.6 - -141.37. What is x rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.059529 to four dps.\nAnswer: 0.0595","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 129*k*s**4 + 10*k*s**3 + 2*k*s**2 + 2*s**4 - 7614*s**2 wrt s?\nAnswer: 3096*k*s + 60*k + 48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 53 = -1. Let v(x) = -8*x**3 - 9*x - 8. Let r(f) = -f**3 - f - 1. What is k*r(a) + 2*v(a)?\nAnswer: 2*a**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -117 + 117. Suppose 4*d - 4*p - 576 = f, -5*d + 447 = -2*d + 2*p. Does 11 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 148, 453, 960, 1669?\nAnswer: 2580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u**3 + 2*u**3 + 4*u**3)*(-u + 2*u**2 + u)*(2 + 1 + 0).\nAnswer: 18*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -9 + (42 + -81 - 6).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 87\/232 - (-7165)\/8?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 5*b**3 - 6*b**2 + 3*b + 3. Let v(w) = -4*w**3 + 7*w**2 - 2*w - 5. Let f(j) = -3*s(j) - 4*v(j). Suppose -l - l = -20. Calculate f(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7272\/(-101)*7\/7*1\/(-2).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6474.907 litres?\nAnswer: 6474907","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 26798246 to the nearest integer?\nAnswer: 299","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 11 and -0.15?\nAnswer: -1.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*f + 3*f - 54 = 0. Solve f*o + 5*n - 8 = 3*n, 5*n = -10 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -5*a + 16. Let t(q) = 25*q - 80. Let u(b) = 11*m(b) + 2*t(b). Let s(l) = -l + 3. Let k(h) = -11*s(h) + 2*u(h). Suppose -j + 12 = 3*j. Determine k(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*t**6 - 8*t**6 + 8*t**2 + 0*t**2 wrt t?\nAnswer: -720*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 445023911.\nAnswer: 997, 446363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.022 times 23\nAnswer: -0.506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i - 10. Let j(c) = -2 - 2 - 5. Let s(u) = -3*g(u) + 4*j(u). What is the derivative of s(b) wrt b?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -20, 2, 3\/67, -2, -0.1, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - y + 30 = 0. Let o be 15\/y*8\/(-10). Suppose -o*r = -6*r - f + 79, f = 4*r - 89. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 2*k = k - 48, -5*k = -3*u + 36. Let p(r) = -r + 11. What is p(u)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/654377 or 1?\nAnswer: -2\/654377","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 - (-3 - (-1 + -2)) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 16024?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 491842.9 weeks in minutes?\nAnswer: 4957776432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g**2\/9 - 176*g\/3 = 0. What is g?\nAnswer: -132, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 605 = 59*y - 44. Which is the closest to 2\/5? (a) -0.3 (b) y (c) 5 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 395 (b) 1\/18 (c) 53 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c - 14*c = -5*n + 67, -4*c = 2*n - 38. Solve 5*r = n, -x - 4*r + 15 = -0*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53771 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*q - 13*q - 17*q + 4*q.\nAnswer: -20*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = c + 106, -v + c - 512 = -6*v. What are the prime factors of v?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of 9 + 14*y**2 + 5*y**6 + 11*y**2 + 11*y + 0*y - 27*y**2. What is the second derivative of s(t) wrt t?\nAnswer: 600*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 11:36 PM?\nAnswer: 7:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 PM and 6:35 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 - 12. Let s(z) = -z**2 - z - 2. Let l be s(-2). Sort 4, f, l.\nAnswer: l, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4614589?\nAnswer: 7, 61, 101, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -2*m + 29, -5*m + x + 40 = -0*x. Suppose -2*f = 2*y - f - 7, 3*f + m = y. What is the third derivative of -h**2 - 11*h + 11*h + y*h**3 wrt h?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -104443.6 to the nearest 10000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 2.65897mg?\nAnswer: 2658970","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 3 - 7 = 0. What is the third derivative of 7*t**2 - 7*t**2 + 8*t**3 - 11*t**2 - 7*t**s wrt t?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 3 (b) -0.2222 (c) 10\/7 (d) -8 (e) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 8*m - 6 = 5*m, -i + m = -6 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(160)\/(sqrt(8) + sqrt(128)))\/(((3*sqrt(440) + sqrt(440) + sqrt(440))\/sqrt(10))\/sqrt(11)).\nAnswer: -6*sqrt(5)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of -16\/15*u**3 + 13\/90*u**4 - 1\/150*u**5 + 0 + 6*u + 12\/5*u**2. Let d(l) = 0. Calculate l.\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 x when four letters picked without replacement from xcujjxjccxxrjjju.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -96 divided by 8?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - (1 + 12) - 3) + (-22 - -27)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2439 + -890. List the prime factors of y.\nAnswer: 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*n - 975 + 120 = 41*n. Sort 0, n, 3, 1, -17.\nAnswer: -17, n, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*v + 27*v - 14*v.\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o**5 - o**5 + 2*o**5 + (4 - 5 + 5)*(-2*o - 1 + 1)*(13 - 5 + 1)*(o**4 + 2*o**4 - o**4).\nAnswer: -145*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1615 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/5 and -43\/66.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + r - 3, 6*r + 5 = r. Let c(k) = 8*k. Let i be c(a). Let v be (4 + -6)\/(2\/i). Calculate the greatest common factor of v and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -450566707 * 0.4\nAnswer: -180226682.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the third derivative of 5\/3*a**3 + 0 + 0*a - 3*a**2 + 1\/24*a**4. List the prime factors of u(8).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -607.473 - -1075.4038. Let q = k - 468. What is q rounded to two dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 - 13 - ((-15 - -29) + -9).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3485*y**2 - 3182*y**2 - 2*y - 8 + 1 wrt y.\nAnswer: 606","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 128\/24 - (-2)\/(-6). Let y = s + -3. Suppose -256 = -2*n - y*n. Calculate the greatest common factor of n and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 q when two letters picked without replacement from qykoyyqykkyqk.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 10b60 - 26?\nAnswer: 10b36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 4 (b) -2 (c) 2 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 156\/(-10)*(6668\/(-12) + -1)?\nAnswer: 2, 13, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7559873, -15119744, -22679615?\nAnswer: -30239486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(4455) + sqrt(4455) + 1*sqrt(4455) + sqrt(4455) - (sqrt(1375)*1 - sqrt(1375)))*1)\/(-4*((-3*sqrt(110) - sqrt(110))*-6)\/sqrt(10)))**2.\nAnswer: 45\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = 3*l - 12 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -24*y + 31*y. Let u be -3 - 4\/24*-19. Let g = -0.05 + -0.05. What is the nearest to y in g, u, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -8*q**3 - 6*q**2 - 11*q - 52. Is u(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8687*r**6 + 925*r**5*z - r**2*z + 10*r**2 - 2*r*z - 137*r - 658*z + 1 wrt r.\nAnswer: -1042440*r**3 + 55500*r**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -5*f - 10. Suppose -16 + 5 = a. Let u be s(a). Suppose 5*z - 8*z + t + u = 0, -3*z + 45 = -4*t. List the prime factors of z.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**9*v**(-18\/7)*(v*v**(-36)*v*v)**42 assuming v is positive.\nAnswer: v**(-9657\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27002770?\nAnswer: 2, 5, 29, 93113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/5152 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37854 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4906?\nAnswer: 2, 11, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, i: 1, z: 7, t: 2}. Give prob of picking 1 i and 1 z.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-14))**(-18) assuming r is positive.\nAnswer: r**252","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2495, 4731, 6439, 7355, 7215?\nAnswer: 5755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*q + q + 2*q)*(491*q**2 + 517*q**2 - 13*q + 13*q - 1006*q**2 - 32335) in the form u + f*q**2 + v*q + b*q**3 and give v.\nAnswer: -32335","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 3*v - 9 = 0, -4*v + v = z + 5. Let c be (-186)\/z - 12\/28. Let h = 31 + c. Solve -3*f + 4*k + 44 - 16 = 0, h*f - 28 = 3*k for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -480 times 290.01?\nAnswer: -139204.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (148*(-3)\/(-2886))\/(6*((-6)\/3)\/(-6))\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 15.935\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 256*l - 1 - 95*l - 157*l.\nAnswer: 4*l - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2 + 430*y - 4500.\nAnswer: 2*(y - 10)*(y + 225)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1510 is divided by 222?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.8, 12, -12699, -3, -1.\nAnswer: -12699, -3, -1, 0.8, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (3 - -1) + (-137 - -130)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 137207730 to the power of 1\/3, to the nearest integer?\nAnswer: 516","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7035, -22190, -70899, -139092, -226769, -333930, -460575?\nAnswer: -606704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, z: 1, b: 4, m: 7}. What is prob of picking 3 b?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -158862 divided by 174\nAnswer: -913","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5.6 + 0.6. Let y = -1824 + 1821. Sort -9, y, t, 0.1 in increasing order.\nAnswer: -9, t, y, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*d + 6, 4*d + 848 = 3*m + 873 for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 18\/66*44\/20\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*a + 0*a + 4*a)*(7 + 44*a**2 + 42*a**2 - 91*a**2).\nAnswer: 5*a**3 - 7*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 - 6. Let y(v) = -4 - 5 - 43999*v + t. Let s be y(5). Round s to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 393100 to the nearest ten thousand.\nAnswer: 390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 5*z - 29, n + 4*n - 15 = 0. Suppose -z*c = -3463 - 3922. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 5*o - c, -4*o + 0*c - c + 7 = 0. Suppose 4*m + n - 1 = m, -m - 3*n = 13. Does o = m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.872338 - 129.906188. Let p = -0.17615 + k. Let d = -127 - p. What is d rounded to one decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 105 and 27?\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 - 15*a - 15. Let p(o) = -3*o**2 + 30*o + 29. Let g(r) = -5*i(r) - 2*p(r). Let v be g(-16). Let l = v + -25. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times 1358620\nAnswer: 407586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2584 - -6120. Suppose 12*f - o = 28*f. Which is smaller: f or -222?\nAnswer: -222","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 6 + 6*t)*(-6 + 5 - 1)*(40 - 106 - 96).\nAnswer: 1944*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 4 = -4*c, 4*w + 2 - 1 = -c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1570.169 - 7?\nAnswer: -1577.169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 28827.2 litres?\nAnswer: 28827200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 61466 - 301?\nAnswer: 61165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -392 divided by 8\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -e - 7b6?\nAnswer: -7c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3610 + -3605. Let l(m) be the second derivative of -4\/5*m**f + 2*m - 2*m**4 - 8\/3*m**3 - 2*m**2 - 2\/15*m**6 + 0. Factor l(t).\nAnswer: -4*(t + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 23 + -4a7?\nAnswer: -484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/10*(-14)\/28?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1255013 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*d + 138624 = -6*d. Suppose -40*y + 21*y + d = 0. What is the hundreds digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, -30, -97, -232, -459, -802?\nAnswer: -1285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 104970?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1.34, -7 in ascending order.\nAnswer: -7, 1.34, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*k + 10883 + 110*k - 58*k.\nAnswer: -6*k + 10883","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k + 2. Suppose 12 = -p + 4*p. Let t be g(p). Suppose -4*q = -t - 18. What is the smallest common multiple of 1 and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 655328 and 982992?\nAnswer: 1965984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 146 - 42. Suppose 4*b - 2*f - i - 934 = 0, 0 = 2*b + 2*f - 528. Suppose -b - 204 = -5*j. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 - 2 - 0*(-1)\/(-2). Suppose -z - 4*k = -a*z - 52, z + 5*k - 47 = 0. Calculate the highest common factor of 9 and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 277478148 divided by -5162?\nAnswer: -53754","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6266573 is divided by 937.\nAnswer: 854","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 - 7 = 4*d, 146992 = -3*m - 4*d. What is m rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14984?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-eight fifths of a litre?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*g - 2*g + g - g - 2*g + 4*g + (g - g + g)*(-2 + 6 - 2) + 3*g - 5*g + 3*g + (-4 + 1 + 6)*(5*g - 4*g + 5*g).\nAnswer: 26*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5871253107\/4580 - 1281933. Find the common denominator of -77\/45 and h.\nAnswer: 41220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c - 8. Let m be p(-8). Suppose m = r - 5 - 10. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 + 9. Suppose 0 = -5*a - n*m - 21, -2*m = 4*a - m + 15. Let c(w) = w**3 + 4*w**2 + w. Let i be c(a). Solve 4*l - 10 = i*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1685\/11 - 153. Let c = -28 + 28. Which is smaller: c or h?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - -3. Let a(x) = 4*x - 2 - 4 + u. Let d(f) = -f + 9. Let v(j) = 2*j - 27. Let s(w) = 3*d(w) + v(w). Give s(a(r)).\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.026 - 3722.782013.\nAnswer: -3722.808013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*2*sqrt(170) + sqrt(170) + sqrt(170) + (sqrt(170) + sqrt(170)*-1)*6)\/(-3*(sqrt(360) + sqrt(10)) + (sqrt(60)\/sqrt(2))\/sqrt(3)) + 1.\nAnswer: -3*sqrt(17)\/10 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -61*s**4 - 3 - s + 1 + 35*s**2 - 11*s**3 - 36*s**2 + 3 + 2*s**3 to the form y*s**4 + h*s**2 + n + r*s + m*s**3 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -116414 divided by 2.\nAnswer: -58207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 1918606\nAnswer: -767442.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13789262, 27578513, 41367762, 55157009, 68946254, 82735497, 96524738?\nAnswer: 110313977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 3*q**4 - 3375*q**3 + 187200*q**2 + 4768500*q + 25560000 = 0.\nAnswer: -10, 80, 1065","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v - w + 18, 3*v + 3*w - 12 = 2*v. Suppose 0 = 3*k - 3*h - 6, -4*k + v*h = -3*k - 2. Solve u + k = -u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8625*t = -8573*t + 312 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = 18 - 16 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 3377?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 2, 5*n - 4*n = 4*i + 741. Let p = i + 193. What is the lowest common multiple of 224\/10 + 4\/(-10) and p?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7 and 3059?\nAnswer: 3059","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l + 2. Let k(i) = -2*i + 5. Let j(z) = k(z) - 2*r(z). What is j(-3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -35670 by 3.\nAnswer: -11890","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1990329834?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -2*w - 7*q - 1007, 4*q = 4*w - 3932. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1842886 to the nearest 10000.\nAnswer: -1840000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 2*p - 18. Let r(b) = 1. Let k(g) = l(g) + 3*r(g). Give k(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(1 + sqrt(891)) - (sqrt(891) + -1)*5) + 1 + 5 + 1 + 0)**2*5.\nAnswer: -5940*sqrt(11) + 160985","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/4, -640, 0.4?\nAnswer: -640","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -1, -3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 174 and 66?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7122?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 90*l**2 + 7*l + 8. Is v(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -118*j + 121*j + 15 + 93.\nAnswer: 3*j + 108","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -79a72 (base 11) to base 7.\nAnswer: -661323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/265 and -0.18498 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 27*s + 1. Let r be t(1). What is the units digit of 2\/4 - (-854)\/r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 337, 793, 1373, 2077, 2905?\n\"Answer: 62*k**2 + 270*k + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fzhzzwzkk. Give prob of picking 1 k and 1 f.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -15 + 7. Suppose -3*g = -2*u + 3*u - 245, -o*u = -2*g - 514. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -155 + 214 = 3*x - j, x = 3*j + 17. Does 10 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 188 by -4.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*w - 144 = 76*w - 48 for w.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 - z + 1. Let c(m) = -7*m. Let q(i) = c(i) - 3*r(i). Let p be q(4). Let x = -30 - p. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8 - 304875?\nAnswer: -304880","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 10 = -3*f. Suppose 0 = -3*k - 3*p + 12, k - 4*k + 13 = 2*p. Which is the second smallest value? (a) k (b) 0.4 (c) f (d) -20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 838090 + -569575. Suppose 3*m - q = -5*w, 2*w - 4*m = 44553 + 62827. Let v = w + -93700. Round v to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -1 + -4 + 1 - (-177 + 171).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 25*o - 20*o. Calculate the highest common divisor of 30 and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -1\/3 (b) 63 (c) 118\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5)\/15*-9 + -4. Let s be ((d + 2)*1)\/(-7). Is 1 < s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -8*c**2 + 2*c**2 - 20*c + 26*c + 5 - c**3. Determine f(-7).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of a**4\/6 + a**3 - a. Let w = -50 + 35. Let s = -12 - w. Let m(k) = -2*k**2 - 5*k. Calculate s*y(i) + 4*m(i).\nAnswer: -2*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.14 - 0.26. Let m = t + 3. Suppose c = -4 + 5. What is the nearest to 2\/7 in c, -5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**4\/v)\/v**(1\/4)*(v**(-1\/5))**(-10) assuming v is positive.\nAnswer: v**(19\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 - 7*x - 4. Let n be j(-6). Suppose 4*g - 25 = -5*b, 5*b - 15 = g + 2*b. Suppose 2*o + n - 12 = g. Solve 20 = o*k + 5 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x - 2 = -l + 3*x, 0 = -3*x. Solve -7 - 1 = -l*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-85)\/5*(-6 + 5). Find n such that -25*n**2 + 40 + 5*n**3 + 5*n - 7*n + x*n - 5*n = 0.\nAnswer: -1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(2\/3))**26)**(-8)\/((h\/h**(-1))**(-30\/7)*h*h*h**(-2\/13)*h\/h**7) assuming h is positive.\nAnswer: h**(-34382\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -522464, -522471, -522478, -522485?\n\"Answer: -7*i - 522457","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkan. Give prob of sequence aaaa.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 110262 divided by -36754?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w**4 - 172*w**3 + 160*w**2 + 336*w = 0. What is w?\nAnswer: -1, 0, 2, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - p = -11, k = -9*p + 4*p + 13. Solve 1 = 2*z - k*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128*o - 673 - 470 = -375 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 17457216 divided by -281568?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1055*b**2 - 1062*b**2 + b - b.\nAnswer: -7*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2 - 29*u + 238. Let d be r(10). Calculate the greatest common divisor of 128 and d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1395484?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57 - 15 = 9*p for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*q**2 - 27*q + 115 - 4*q**2 - 115.\nAnswer: -q**2 - 27*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 550960 is divided by 1190?\nAnswer: 1180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 356 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 856899 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000567 to seven decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-114)\/8)\/((-270)\/60))\/((-2)\/56*-7)?\nAnswer: 38\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 1 = f - 11, -4*u + 8 = 0. Let o = -15.0705 - -0.0705. Let h = -14.5 - o. What is the closest to f in 4\/3, 2, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -48 and 34182593.\nAnswer: 34182545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 5*z - 23 = 0, 5 = -5*n - 4*z - z. Suppose n*r = -k + 2*r + 3, 2*k = 5*r + 13. Solve -2*j - 4 = j - 2*q, 3 = -k*j + 5*q for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2823 divided by -132\nAnswer: 941\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-10)\/(-8)*(-5 + 1). Let b be 0 + 6 + s + 3. Let f(c) be the third derivative of c**6\/120 - c**5\/20 - 7*c**4\/24 + 5*c**3\/6 + 2*c**2. Give f(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -43*r + 50*r. Suppose 0*n = -5*n + 10. What is the smallest common multiple of n and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*y + 384 = 538 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 7*h. Let x(s) be the third derivative of s**7\/5040 - s**5\/20 + 4*s**2. Let g(o) be the third derivative of x(o). Give m(g(t)).\nAnswer: 7*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1, -2\/17, -38\/5, -2\/5?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*j**2*k**4 + 17*j**2*k**2 - 236329*j**2 - 536528*k**4 - 2*k**3 wrt k.\nAnswer: -72*j**2*k - 12876672*k - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = 10*a - 60 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 59822, 119634, 179390, 239066, 298638, 358082, 417374?\nAnswer: 476490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 - 11. Let s be 14 - (q + 2) - 1\/1. Solve s = 3*b - 2*g, g + 0 = -3*b + 6 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 4*t - 220 = -3*k, 4*k + 464 = 4*t. Let r = 118 + k. Solve 0 = -r*m - 12 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 153436.\nAnswer: 2, 89, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.23363283 times -3?\nAnswer: -0.70089849","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q + 1. Let h(u) = -10*u - 3. Determine d(t) + h(t).\nAnswer: -9*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, a: 1, x: 1, h: 2, n: 1, o: 1}. What is prob of sequence aovx?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4791 or -2\/1215?\nAnswer: -4791","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.4 + 0.6. Let n = t - 0. Put 1\/6, 3, n in descending order.\nAnswer: 3, n, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:23 AM and 12:48 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-1)*2\/((-24)\/20)\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-6)*q*q**(-3\/8)*q)\/(q\/q**(-1\/4))**(-4\/7) assuming q is positive.\nAnswer: q**(-205\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 2*b**2\/19 - 116*b\/19 - 118\/19 = 0.\nAnswer: -1, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -2*g**3 - 4*g**2 - 2*g + 3. Calculate the remainder when z(-2) is divided by 10*(-1 - 6\/(-4)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6356?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 + (-47 - -55) + 37?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 13\/5 of a millennium?\nAnswer: 31200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010011000011 + 101111000?\nAnswer: -1001101001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/(-7))\/(4\/(-14))*5616\/(-546)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 1\/7 (b) -17 (c) 2\/9 (d) -0.0565\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -8. Let f = k + -4.2. Let v = -150 + 150.4. Which is the second biggest value? (a) v (b) -0.5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 178422.\nAnswer: 2, 3, 131, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-18)\/7)\/((-27)\/126). Let g = p - 18. Let l = g - -9. Solve -12 = 4*o + w, -l*o - 4*w + 0*w + 4 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 27051, 27052, 27053, 27054, 27055, 27056?\n\"Answer: r + 27050","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -685*d + 3026*d**4 - 649*d - 3*d**2 + 4*d**2 + 1333*d to the form w*d**3 + j*d + b*d**2 + n + u*d**4 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1414386?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (609\/282982)\/((-60)\/170).\nAnswer: -1\/164","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1465692 by 4.\nAnswer: 366423","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1221 + 1138. Is w smaller than -89?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 10\/17 and -2\/3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 117052, 468206, 1053460, 1872814, 2926268, 4213822, 5735476?\n\"Answer: 117050*o**2 + 4*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) -1 (b) -656\/7 (c) 3\/4 (d) -2 (e) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*y - 149240 = -66*y. What is the thousands digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2)*(4*d - 2*d - d)*((4*d + 0*d - d)*(-20 - 4 + 35) + 8*d + 25*d + 16*d).\nAnswer: -164*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-nine halves of a litre?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7086.04670287 - 7121.1467. Let o = f - -35.1. Round o to 7 dps.\nAnswer: 0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 61605 = 5*f, -4*l - 2*f - 246404 = -6*f. Round l to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 105966 and 232638?\nAnswer: 1218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11\/((-660)\/(-40)))\/(20\/(-18))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, x: 3, p: 3, o: 5, g: 1, c: 1}. What is prob of sequence co?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -312322030130 (base 4) to base 5\nAnswer: -12141103030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59489 is divided by 763.\nAnswer: 738","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7*o**2*r**2 - 35*o**2*w**4 - 2*o**2*w + 5*o**2 + r**2*w + 2 wrt w?\nAnswer: -140*o**2*w**3 - 2*o**2 + r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -190080287\nAnswer: -950401435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 + -21. Let g = 0 + c. Let o = g + 20. What is the remainder when 63 is divided by o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2\/11 + 984*d\/11 - 121032\/11.\nAnswer: -2*(d - 246)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-10) + (-990)\/99*(-1)\/10?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 956?\nAnswer: 2, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 186\/4*(-40)\/3. Let t(z) = -222*z + 143. Let k be t(5). Let x = a - k. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -735976 rounded to the nearest one thousand?\nAnswer: -736000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 - 119*v + 3236. Let y be f(42). Solve -28\/5*c + 16\/5 - 2\/5*c**3 + 14\/5*c**y = 0.\nAnswer: 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 5*h + 10. Let f(u) = -2*u**2 + 4*u - 2. Let y be f(1). What is the remainder when 237 is divided by x(y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddvzzodov. Give prob of picking 1 o, 1 z, and 2 v.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 + -23 - -40 - 16.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -34963044, -34963045, -34963046, -34963047, -34963048?\n\"Answer: -r - 34963043","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 45543193 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k\/(k*k**2))*k*k*k**(-1)\/k*k*(k**(-3\/4)\/k)\/(k**0*k))\/((((k**(-2\/15)\/k)\/k*k)\/k**(2\/11))\/(k*k\/(k**(1\/3)\/k))**(-21)) assuming k is positive.\nAnswer: k**(-35927\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -u + z, -3*u = 3*z - z + 10 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of -q**3\/3 + 6. Let v(w) = 19*w. What is v(c(g))?\nAnswer: -19*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -36.81 - -35.81. What is the nearest to 1\/5 in 1, -0.2, 0.14, t?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/(sqrt(4320)\/sqrt(6)).\nAnswer: sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/3))**(1\/6)*(l**(-1)*l)**(-2\/31) assuming l is positive.\nAnswer: l**(-1\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 283602522.\nAnswer: 2, 3, 7, 109, 61949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -40*n**2. Let b(v) = 3*v**3 - v**2 + 2. Let s be b(1). Let d(k) = -7*k**2 + 9*k**2 + s*k**2 - 4*k**2. Calculate d(w(o)).\nAnswer: 3200*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (7 + -1 - 6).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -11*a + 3. Suppose -49*k = 69 - 363. Let n(h) = 65*h - 17. Calculate k*n(q) + 34*v(q).\nAnswer: 16*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13105*a**2*c*l**2 + 2*a**2*c + 3*a**2*l**2 + a**2 + 161*l**2 + 7 with respect to c.\nAnswer: 13105*a**2*l**2 + 2*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 0*s + s + 17 = 0, 0 = y + 2*s + 7. Let h = y - -30. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -7.7 and -338110430341?\nAnswer: 338110430333.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -2*p**2 - 10 + 3*p**2 + 0*p + p. Is 23 a factor of w(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of 43 + 0*a - 69\/2*a**2 - 53\/3*a**3. Find the second derivative of y(u) wrt u.\nAnswer: -106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/210 and -31\/3430.\nAnswer: 10290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, q: 6, u: 1, p: 5, m: 2}. What is prob of sequence qu?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 + 12*i**2 - i + 5. Let j be s(-12). Suppose -3*u + 16 = -j. Calculate the remainder when 31 is divided by u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55261?\nAnswer: 73, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vgc when three letters picked without replacement from vcvsvgsvssvvssvcvv.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 59, 43, 19, -13, -53?\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -122 - (4 + -13 + 5 + 8). Let a(n) = -3*n**2 - 6*n - 1. Let y be a(-6). Let h = y - m. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 (base 14) in base 11?\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 49223 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 83 + -33. Suppose -c = m - 61. Suppose 0 = 4*u - 159 - 53. Calculate the remainder when u is divided by m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/6, 64, -3, 2\/7, -3\/19, 5 in decreasing order.\nAnswer: 64, 5, 2\/7, -3\/19, -5\/6, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-99)\/(-22))\/((-6)\/8). Let f be (r\/10)\/((-12)\/120). What is the third derivative of -f*m**5 - 1715*m + 1715*m + 12*m**2 wrt m?\nAnswer: -360*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, -38, 786.\nAnswer: -38, -3, 3, 786","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*f + k - 25, 267*f + 23 = 270*f + 5*k for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 10757?\nAnswer: -4\/10757","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 21 in 0.1, -358, 74\/57?\nAnswer: 74\/57","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 20*f - 30. Find the second derivative of 92*h + 134*h + 56*h**f - 135*h wrt h.\nAnswer: 112","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4.626707*66\nAnswer: 305.362662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 16*r - 55. Give b(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1656836873 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7350955.\nAnswer: 5, 89, 16519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -96.85 - -94. Let w = 8.2 + -10.24. Let o = w - r. Round o to 1 decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and 1.63.\nAnswer: 6.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -13010100 divided by -102\nAnswer: 127550","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 631303 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-728)\/1001)\/(30\/(-55))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (688\/48 - 14)\/((-2)\/18).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13733?\nAnswer: 31, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1007646 is divided by 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 149463*j**3 - 240624*j**2.\nAnswer: 896778","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4)\/22)\/(12\/(-132)). Solve -3*z = -0*z - 5*q - 18, -z - q - u = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -13*k**2 - 203214*k + 3662064.\nAnswer: -(k - 18)*(13*k + 203448)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**2 - 9*z + 847. Let n be s(-34). What is the nearest to 0 in n, -0.1, 0.4, -26?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - 21)\/(2 - 20\/120*(-6)\/(-2)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5706 + 175*a + 5706)*(112 + 486 + 97) to u + v*a and give v.\nAnswer: 121625","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 - m + 3. Give d(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/(-3))\/(7\/(-84)). Which is greater: k or -13?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 8, -0.3, -3\/2 in descending order.\nAnswer: 8, 0.1, -0.3, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.9 (b) -4 (c) 2\/273\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(400)*2)\/sqrt(10))\/(sqrt(392)*2 + sqrt(392)).\nAnswer: 2*sqrt(5)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 447*d**3 + 5*d**2 + d + 51360 wrt d.\nAnswer: 2682*d + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + -790?\nAnswer: -78d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7542, -15079, -22612, -30141, -37666, -45187?\nAnswer: -52704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -291491.46 to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*z = 37*z - 1043. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + 110110110001010?\nAnswer: 110110110001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9189661 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -381490*k. Let b(i) = -278*i - 3. What is b(x(y))?\nAnswer: 106054220*y - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64\/11 + 30\/11*x**5 - 2*x**4 - 156\/11*x**3 + 144\/11*x + 104\/11*x**2 = 0. What is x?\nAnswer: -2, -1, 2\/5, 4\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v - 1. Let l be z(-3). Let x be (0 - 4)*2\/l. Is ((-91)\/(-2))\/((-2)\/x) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -90*j**3 + 163*j**3 - 7*j**4 + 0*j**4 + 7*j**2 - 37*j**3 - 3 wrt j.\nAnswer: -168*j + 216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16.1 - 17. Let z = -1 - n. Let v be (-7)\/(-2) - (-3)\/(-6). Which is the closest to z? (a) 1 (b) v (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*g**2*h**3 - 14*g**2*r + 2*g + 3*h**3*r - 36*r wrt g.\nAnswer: -6*h**3 - 28*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 49326?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -58491 by 20757.\nAnswer: -19497\/6919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 310 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 + 387*h**2 - 64*h - 24834. What is x(-387)?\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + -93?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4 is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000305694 rounded to 7 decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 + -7. What is the nearest to v in -5, 0, 3\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -11*q + 26. Give w(4).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/4 or 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 + 1. Let h = -3 - g. What is the second derivative of 3*j + 0*j**4 - h*j**4 - 4*j wrt j?\nAnswer: -24*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 20 = 0, -4*o - 5*j + 10 = -3*j. Let l(c) = c**2 + 14. What is the remainder when 47 is divided by l(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -2\/43430961 and -67\/7426?\nAnswer: 86861922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (46\/4)\/(1\/2). Let u be l\/(-5) - (-10)\/(-25). Suppose 26 = 7*j - 2. Sort 5, u, j.\nAnswer: u, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 132 - 173 - (-15 - 33).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 + b + 5*b - 4*b - 2*b + (4 - 3 + 1)*(-4*b + 4*b + 2*b) - 4*b + 5*b - 2*b + (1 - 2 + 4)*(-3*b - 2 + 2).\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.23 + -0.77. Sort -5, p, 2 in increasing order.\nAnswer: -5, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -13, -18, -35, -70, -129, -218?\n\"Answer: -g**3 + 2*g - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (28\/(-8) - -3)*-12. Let u be ((-120)\/9)\/((-2)\/y). Round u to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l + 3. Let p(w) = 81*w + 13. Let a(x) = -24*d(x) + 3*p(x). Let r be a(1). Calculate the highest common divisor of r and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1164 and 77724?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*m**2 - 8*m**2 + 15*m**2.\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence djdd when four letters picked without replacement from ddddddddddddj.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 156364 (base 8) to base 6.\nAnswer: 1113512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -92 divided by -1.\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -2*g**3 + 23*g**2 + 10*g + 13. Calculate a(12).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1292?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 17*z - 96. Let m be i(24). Let v = -287 + m. Solve v*d - 23*d = 10 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from huupuuuhphupuupu. Give prob of sequence uhpu.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 29108 and 2982.\nAnswer: 43400028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 44180 to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 + 21*t**2 - 37*t + 33. Calculate h(14).\nAnswer: 887","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -65 + 3 - (149 + -35 - 116)?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -8*r + 10. Let p(m) = 183*m**2. What is p(y(h))?\nAnswer: 11712*h**2 - 29280*h + 18300","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of -24 - 1\/2*g**2 - 3\/2*g + 1\/6*g**3. Factor l(f).\nAnswer: (f - 3)*(f + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -24\/14477 and -97\/1694276.\nAnswer: 52522556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -0.3, -2, 5, -9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -18*t**3 - t**2 - 2*t - 1. Suppose -2*g + 3*w - 8 = 0, 0 = -g + 3*w - 7. Calculate j(g).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3125)\/(-625)*(-2)\/((-100)\/(-1)).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -72407 less than -72553?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3241*w**2 - 528*w**3 + 3241*w**2)*(0*w - w - 2*w) + 2 - 2 - 2*w**4.\nAnswer: 1582*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 624 and 4774464.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 7\/(28\/32) - -1. Suppose 3*h + z = n, -n + 4 = 2*h - 0*h. Let x be (-18)\/n - (-4 - 1). Solve -2*b - 12 = x*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = -3*i - 24, -r + 49*i - 53*i - 13 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -13*r + 105. Let v be k(8). Let i = -35089 + 35153.058. Let s = 64 - i. What is the biggest value in v, s, 2\/15?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (90\/(-60))\/(1 + 0). Let j be -1*(1 + 1*3). Let h = -3592\/187 - -210\/11. What is the nearest to 7 in j, m, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/(-6))\/(10\/60). Suppose 0 = 2*d - a - 7, 3*a - i = 7. Let 3*q - 4*q**2 - 3*q**5 + 6*q**4 + 0*q**d - 2*q**2 = 0. What is q?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-7)\/h)\/((h**(-1\/2)*h)\/h) assuming h is positive.\nAnswer: h**(-15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of -d**6\/6 + 17*d**2 + 5*d + 28. Let q(y) be the first derivative of v(y). Differentiate q(u) with respect to u.\nAnswer: -20*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of s**3\/6 + s**2\/4 - s - 528. Let k(b) = 0. What is b?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 5*y = 15, -2*t - 5*y + 20 = -10*y. Suppose -54 = -t*c + 46. List the prime factors of c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -165206546 + 4?\nAnswer: -165206542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.237 * -21\nAnswer: 4.977","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eaaa when four letters picked without replacement from eaeaa?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5*2*3\/15. Suppose 1650997 = 2*s + 5*r - v*r, -4*s + 2*r + 3301970 = 0. Let z = s + -135494. What is z rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 457 to the nearest ten.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 39.185ng?\nAnswer: 0.000000039185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 60180?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.7, -4, -55?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*m + 36 = -76. Suppose -5*d - m = 8, -5*d = -3*f + 372. List the prime factors of f.\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 172, 338, 500, 658?\nAnswer: 812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 4*b - 12. Let o = -17 - -22. Let q(g) = -g**3 + 4*g**2 + 7*g - 2. Let m be q(o). What are the prime factors of p(m)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 3*m = -3*m. Suppose 2 = -0*p + p. Solve m = j - 3*h + p - 6, 4*h + 18 = -5*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 0.5, 169, 1, 16?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((z + 0 + 0)*(1 + 0 - 2) + 0*z + 0*z - z)*(-83 - 4 - 28).\nAnswer: 230*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 + (52\/30)\/(72\/(-13611)). Let b = r - -1631\/5. Let n = -1636 - -3203\/2. What is the common denominator of b and n?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, h: 2, w: 5, n: 1}. What is prob of sequence wn?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-23430)\/990)\/((-1)\/132)?\nAnswer: 2, 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -11*t + 66. Let k be b(6). Suppose -4*y + k*y = -100. What are the prime factors of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of -n**5\/20 + 11*n**4\/12 + n**3\/6 - 4*n**2 - 4*n. Let c be d(11). Solve -z - c*z - 12 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - -2a?\nAnswer: 2d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4525982684 + 10*g**2 + 4525982684 - 7*g**2.\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 8) in base 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.05293 - -0.0559. Round a to three decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5972?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 99, -514, -2207, -5520, -10993, -19166, -30579?\nAnswer: -45772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/133, 11, 0.5, -34, 10?\nAnswer: -3\/133","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + d - 936 = 0, 1073*u - 3*d = 1072*u + 200. What is the greatest common factor of u and 7849?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 4*g - 650 = 0, -p + 3*g = -g - 146. Suppose 5*r - 426 = -p. What is the remainder when r is divided by 22?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xk when two letters picked without replacement from {k: 1, i: 1, x: 1, d: 1, j: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 112 + -105 + (-1 - 13) + 1\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 122785 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 7, w: 2, n: 3}. Give prob of picking 1 w and 1 n.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27386, -54946, -82538, -110168, -137842, -165566, -193346?\nAnswer: -221188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 38 and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -26? (a) -0.4 (b) 45.2 (c) 5 (d) -1\/6 (e) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 5 = -5*c, c + 8 = -3*c. Suppose -3*v = 2*v + 50. Let f be (-254)\/v - (-16)\/(-40). Solve -4*d + w*d = 2*r + 9, 5*d = -5*r - f for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.377 - -14.804.\nAnswer: 14.427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45911?\nAnswer: 31, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1256777407.\nAnswer: 863, 1456289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, -27933, 11, 1, -3 in decreasing order.\nAnswer: 11, 5, 1, 0, -3, -27933","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -110*j - 66. Let g be d(-26). Suppose 5*i + 15*q - 12*q = g, -q - 2 = 0. Calculate the greatest common factor of 84 and i.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321063 to the power of 1\/4, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33) + sqrt(66)\/(sqrt(2) + sqrt(8)\/sqrt(4)) + sqrt(33))\/(-2*sqrt(432) + sqrt(432)).\nAnswer: -5*sqrt(11)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -54879 and 2.9.\nAnswer: -159149.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 810.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 7*d - 12. Sort d, 0, -3 in decreasing order.\nAnswer: d, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*n + 14 + 1 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 9337, 0.2, 0, 1255?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 78 and 11 - ((-3 - 2) + 4)?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2837 - 2142. Suppose -p - 6 = -3*p. Suppose -5*y = -5*k - l, -p*k = 4*y - 244 - 284. What are the prime factors of y?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -22*p - 8. Is 51 a factor of q(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -16*x**3 - 14*x - 3. Let c(g) = -g - 1. Let q(y) = 6*c(y) - 2*s(y). What is the second derivative of q(r) wrt r?\nAnswer: 192*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -330 from -41696.\nAnswer: -41366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1057909281.\nAnswer: 3, 11, 13, 2465989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*a - 27*a - 124 = 0. Calculate the remainder when 88 is divided by a.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of 0*s**2 - 2\/3*s**3 + 0*s + 16 + 0*s**5 + 0*s**4 + 0*s**6 + 17\/7*s**7. What is the third derivative of j(d) wrt d?\nAnswer: 2040*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7636.471467 - -7670.8154. Let p = -1.345253 + x. Let y = 33 - p. Round y to four decimal places.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6183 at least as big as 1\/608?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -j - 2*v, -10*j + 149 = -5*j + 2*v. Suppose -4*q - 194001 = x, 0 = -j*q + 26*q + 3*x - 145497. Round q to the nearest 1000.\nAnswer: -49000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(162))*-5)**2 + (-1 + (-1*sqrt(162) + sqrt(162))**2 - sqrt(162)) + (0 + sqrt(882))*1 + (5*sqrt(882)*-1 - sqrt(882))**2.\nAnswer: 912*sqrt(2) + 35901","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - 56?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 6*a + 6*a**2 - 4*a**3 + 5*a**3 - 36 - 2*a**3. Let v be o(6). Solve 5*w - 29 = -u, -14 = -v*w - 2*w - u for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2006779 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1293\/7 + -5529\/28. Let j be 10\/(-6)*105\/14. Let k = j - b. Put -2, k, 5 in descending order.\nAnswer: 5, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 462429*j**4 - 3*j**2 - 462229*j**4 + 0 - j to the form l*j**2 + d*j + y + v*j**3 + z*j**4 and give z.\nAnswer: 200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8710 divided by 87.\nAnswer: 8710\/87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 23 - b?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/9 + 7\/((-105)\/(-50)). Let u be (-354)\/(-119) + 23\/((-782)\/4). Is s < u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -213 - -3457\/16. Calculate the common denominator of 115\/54 and j.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17 (base 11) to base 6\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 11:17 AM?\nAnswer: 6:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.2 + 0.8. Let v = -7 - -2. Suppose 3*h = 8 + 1. What is the third smallest value in y, v, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -807795*b**2 - 25524 wrt b.\nAnswer: -1615590*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from deddeddevivaddadddd. What is prob of picking 1 i and 1 e?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -8*f**2 - 5*f. Let q(l) = -88*l**2 - 56*l. What is 56*d(p) - 5*q(p)?\nAnswer: -8*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 182 is divided by 86.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 9.212 times -3042.2\nAnswer: -28024.7464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w - 4*w + 0*w)*(-4*w + 4*w - w**2) + w**3 + w**3 - w**3 + (2*w**2 - 2*w**2 - w**2)*(w - 2*w - w).\nAnswer: 6*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, 128, 37, -1\/7, 62?\nAnswer: 62","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-3)*z*((z\/(z**(3\/2)\/z))\/z)\/z*(z*z**0)**23)\/(z**(-4\/3)\/z*z*z*z*z**(-5))**(7\/2) assuming z is positive.\nAnswer: z**(104\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 3224 - 3*t**3 + 3223 - 6446. Suppose p + 3*p - 12 = 0. Let v(o) = -2*o**3 + 1. Calculate p*u(g) - 4*v(g).\nAnswer: -g**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 3\/2503 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 194, 185, 164, 125, 62?\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q**(3\/5)\/q)\/q**(-5))\/((q*q\/q**(-2\/13))\/q**(-1\/5)))**27)**(-5\/16) assuming q is positive.\nAnswer: q**(-1971\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 1724*y**4 - y**2 - 3450*y**4 - 43 + 1725*y**4 - y + y**3 as d*y**4 + x*y**3 + l*y**2 + q + j*y and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (104 - 13 + 17)*(-2 + 1 - 1)*(-4 - 9*r + 4).\nAnswer: 1944*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -565*p - 332*p - 11*p - 37*p to the form f + m*p and give m.\nAnswer: -945","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 1915354.7 to the nearest 1000.\nAnswer: 1915000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2894801 to the power of 1\/2, to the nearest integer?\nAnswer: 1701","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 871\/(-78) - 242\/(-22)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = -4*o + z + 12, o - 5*z = 17. What is the remainder when 209 is divided by o\/32 - (-282)\/8?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = l + 24 + 2, -r = 5*l - 2. Let i(w) = -r + 3*w**3 - w**3 - 3*w**3 + w - w**2 + 2*w**3. Suppose n = 5*z - 25, 5*n + 0*z = -3*z + 15. Calculate i(n).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 7, k: 4, l: 4, q: 3, w: 1}. What is prob of picking 1 a and 2 l?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 547869547 a multiple of 123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 10887.27cm?\nAnswer: 108872.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - g + 0*g - 10 = 0, -5 = -2*u - g for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2201.\nAnswer: 31, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 4\/90*(-48)\/((-160)\/(-10))*10\/8\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -94, -229, -466, -817, -1294?\n\"Answer: -2*w**3 - 39*w**2 - 4*w - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) -11 (c) 1\/8 (d) -53 (e) 3 (f) 60\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*h**2 + 0*h**2 + 5*h**2.\nAnswer: 5*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 99863 and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 + 18*v**2 + 26*v - 29. Calculate the remainder when g(19) is divided by 56.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 AM and 7:39 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hrtmdhrthhhtw. Give prob of sequence hd.\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p. Let w(k) = -3*k - 32. What is 4*o(b) - w(b)?\nAnswer: -b + 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21 + -27. Let u = p - -8. Solve -u*g = g - 3 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 195.31011ms to minutes.\nAnswer: 0.0032551685","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 5*q + 9, 3*q + 5 = 4*o - 12. What is the remainder when (-5)\/o + 1185\/6 is divided by 50?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 3*q + 2. Let j be (-1 - q)*-2*-1. Suppose -19 - 5 = -j*g. 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: Is 53 a factor of 226785662?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of -n**4\/24 - n**3\/6 - 34*n**2 + 6. Let g(y) = 6*y + 3. Determine d(r) + g(r).\nAnswer: 5*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, 2, 7995, 6 in descending order.\nAnswer: 7995, 6, 2, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1276761668 to 3 decimal places.\nAnswer: -0.128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 23\/3 of a day?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*-1*(-76)\/(-4). Let a = y - -24. Let m = 62 - 52. Calculate the greatest common divisor of m and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 + 0)*1 - -8. Suppose 2 = i - 0. Suppose z - x = d, 2*d + 10 = -5*z - i*d. Solve -b - z = b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - b = -6 - 48, 2*j - 26 = 4*b. Let w = 14 + -11. Let p = j - w. Solve -i - p = 3*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of -k**4\/24 - 4*k**3\/3 + 5*k**2. Let y = 39 - 39. Calculate g(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-24) + (-4)\/48?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 - 20 = -3*r - 2*u, r + u - 19 = 0. Suppose -4*l + 5*l - 3*p - 10 = 0, r = 3*l - 3*p. Let s be l\/3 + 4\/(-12). Solve 5*z + 15 = s*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/(-8)*(-24192)\/13608?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 21\/5 of a millennium?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3430 is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -107 - -109. Let j(g) be the first derivative of 2\/3*g**3 + 0*g - 4 + d*g**2. What is the second derivative of j(u) wrt u?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*x**2\/13 - 5380978*x\/13 - 1655688 = 0. What is x?\nAnswer: -4, 2690493","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 30*s + 162. Let w(l) = 35*l + 162. Determine -6*j(d) + 5*w(d).\nAnswer: -5*d - 162","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*i + 3*i = 6860. Suppose 0 = -46*u + 51*u - i. What is the tens digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*r + 37 = -r + 262 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 66576, 266307, 599194, 1065237, 1664436, 2396791?\nAnswer: 3262302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w + 10. Let z = 6 + -12. Let l be (20\/(-7))\/(z\/21). Let c = -10 + l. Determine t(c).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -424*s**2*v**4 + 12*s**2*v**3 - 12*s**2*v + 11*s*v**2 - 3*v**2 wrt v.\nAnswer: -10176*s**2*v + 72*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -13402*p**3 - 26810*p**2 + 107204*p + 48 = 0. What is p?\nAnswer: -4, -3\/6701, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 4)*(-p + 1 - 1)*(1 + 3 + 0).\nAnswer: 16*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 42 and 16920.\nAnswer: 118440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -19 + 22 - (2 - 0) - 12\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2714*o**2*r**2 + 2146*o**2*r wrt r.\nAnswer: -5428*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 6*z**2 + 18. Let o be f(9). Let u = -24 + o. What is the hundreds digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 0*k - 4*k = -28, 2*k = 4. Let z be l\/10 - 187\/(-55). What is the smallest value in -1, 0.3, z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:28 PM and 8:39 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -5435 times -3?\nAnswer: 16305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*5\/(1350\/(-20)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 454 (base 6) to base 8\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2 - 7*k - 118. What is d(15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 11, y: 5}. What is prob of picking 2 r?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 366 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 398657 to the power of 1\/4, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 2*a**2 - 91680*a + 1050652800 = 0.\nAnswer: 22920","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 60 + -20. Let b = -17 + s. Does 23 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ror when three letters picked without replacement from {r: 5, o: 2, j: 4}?\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of -45*h**2\/2 + 19*h + 6. Is s(-8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, -10, -21, -36, -55, -78?\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + 1.5. Let r = -0.05 + 0.15. Let c = r + a. Put c, 1\/2, -1 in decreasing order.\nAnswer: 1\/2, c, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 177 = -4*x - 3*s, -135 = 3*x - 3*s. Suppose 0 = -2*d - 2*h - 86, 13*h - 8*h - 199 = 4*d. Which is smaller: d or x?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16 + 18. Let s(h) = -h**3 + 2*h**2 - 3*h + 2. Determine s(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the third derivative of b**6\/480 + b**5\/120 - 29*b**4\/96 + 7*b**3\/4 - 103*b**2. Factor a(k).\nAnswer: (k - 3)*(k - 2)*(k + 7)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*d - 13*d - 6*d + 15 + 2*d**4 + 16 to r*d + j*d**4 + o*d**3 + s*d**2 + v and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.11? (a) -4 (b) 0.3 (c) -1 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.7 times -59.86?\nAnswer: 580.642","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 17 = -11. Suppose -66 = -2*a - 3*d + 6*d, -a + 31 = -c*d. What is the greatest common divisor of 52 and a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-n + 2 - 2 + (-2*n + n + 2*n)*(0 - 4 + 2) + 2*n - 2 + 2)*(-2 + 0 - 1)*(-5 + 8 - 44) + (-4*n + 4*n - n)*(-3 - 1 + 7) as z + l*n and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(1\/3))**(-2\/77))**15)**(-10\/7) assuming d is positive.\nAnswer: d**(100\/539)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 41 + -50. Let n be ((-4)\/27)\/(-1 + (-3)\/l). Which is the biggest value? (a) -5 (b) 2\/11 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2534, -5079, -7626, -10175, -12726, -15279?\n\"Answer: -z**2 - 2542*z + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**21)\/i*i)**(-22\/9))**33 assuming i is positive.\nAnswer: i**(-5324\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36\/(-15))\/(6\/(-210)*7).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5106 and 21137.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 3.9 * -4\nAnswer: -15.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30 is divided by 19.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -4.0767 (b) -4 (c) -53\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -452*z**4 + 488*z**2 - 5*z - 1 wrt z?\nAnswer: -10848*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (10 + -7)\/((-33)\/(-44)). Solve t - 3*d + 16 + 0 = 0, 0 = 5*t + m*d + 4 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 157 + -157. Suppose -2*b + 4 = k, 3*b = i - b - 131. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -59861 - -0.5.\nAnswer: -59860.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 43*h**2 - 8*h - 2. Let s(z) = -41*z**2 + 10*z + 2. Determine -5*g(c) - 4*s(c).\nAnswer: -51*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5505 (base 6) in base 3?\nAnswer: 1201212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 1707*z**3 + 10242*z**2 - 10242*z + 81936. Let g(d) = d**2 - d + 8. Determine -10242*g(b) + h(b).\nAnswer: 1707*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 12:11 AM?\nAnswer: 4:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 987875 and 625.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 3\/2, 661, 0.25, -4?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*v + 30 - 8*v - 7*v + 2*v**4 in the form j*v**3 + c + q*v + z*v**4 + s*v**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 96.9178ug in kilograms?\nAnswer: 0.0000000969178","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.158796260526 and -0.2.\nAnswer: -0.041203739474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + y = 0. Suppose -5*r + 90 = -5*h, -h + y*r - 10 = r. Find the common denominator of 1\/14 and 1227\/84 + (-2)\/h.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58657759 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 45295, 44125, 42955, 41785?\nAnswer: 40615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-51)\/1734*1\/((-4)\/24)?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.03 - 0.03. Let u = -7096\/7 - -1014. Which is the third biggest value? (a) u (b) -3 (c) 0 (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 17*b - 110. Let f(z) = -z + 0*z + 0 + 3*z - 5. Let d(y) = y + y + 9 - 5*y. Determine b*f(n) + 4*d(n).\nAnswer: 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -45 + 45.02. Which is the fourth biggest value? (a) -3 (b) -5 (c) g (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1095812 rounded to the nearest one hundred thousand?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:22 PM and 11:29 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 4001637957?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (4 - (-6 + 11))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -26*o**2 - 4702694*o\/3 + 80388.\nAnswer: -2*(o + 60291)*(39*o - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3081, 3111, 3153, 3207, 3273, 3351, 3441?\n\"Answer: 6*i**2 + 12*i + 3063","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*f**3 + 10*f**3 + 3 - 5*f - 5 as q*f + i*f**2 + b*f**3 + n and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -865 - -1261. Suppose -11*i - w = -13*i. List the prime factors of i.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 - 13*q**2 - q - 14. What is z(13)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7665 + 15144. List the prime factors of r.\nAnswer: 3, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p + 1. Let x be h(-3). Let n = x - -4. Solve n = -4*b + 3*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 12.215?\nAnswer: 36.645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - 2. Let c be 3 + u\/(12\/(-21)). Suppose -1\/4 + 1\/2*y**5 - y - y**2 + 1\/2*y**3 + c*y**4 = 0. Calculate y.\nAnswer: -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 6, 2, -4 in decreasing order.\nAnswer: 6, 2, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -5\/4, 19, -0.1, 4, 241?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + -6 + (20 - 4) + -7.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -214, -209, -202, -193?\nAnswer: -182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 200110202 - 2102001?\nAnswer: 121001201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 136 or 1\/11?\nAnswer: 136","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6506\/3 - 2169. Let i = -1.2 - -1.4. Which is the third smallest value? (a) k (b) 5 (c) -0.1 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.061 (b) -1057 (c) -0.5 (d) 0 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*j + 7271 = -15*j - 19783. Calculate the greatest common factor of 5344 and j.\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 5*j**4 - 4*j**3 + 5. Let g(h) = -6*h**4 + 3*h**3 - 4. Let x(u) = -4*g(u) - 3*o(u). Find the first derivative of x(r) wrt r.\nAnswer: 36*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -0.3, -160, 1, 2\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of s**3\/3 + 27*s**2\/2 - 2*s + 3. Determine l(-12).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 - -25 - (7 - 0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3\/2 (b) 6\/29 (c) -4 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.282 - -226.282. Let j = 226.000059 - n. Round j to 5 decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*q**2 - 5*q**2 - 11*q**2 - 6*q**2 - 3 as v*q**2 + x*q + t and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0916 - 79583?\nAnswer: -79582.9084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14 - -8. Let d be -1 + -1 + 8 + p. Which is the closest to -1\/3? (a) -5 (b) d (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 AM and 7:47 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 2*h + 1. Let t be r(6). Suppose 4*d = -t + 173. Suppose -17 + 7 = -2*b. What is the greatest common divisor of d and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the second derivative of -r**5\/20 - 3*r**4\/4 + 7*r**3\/2 - 6*r**2 - r - 375. Calculate v(-11).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1574 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25383 + 12702 + 12681 + 4*g.\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - -2)\/3 - -90. Let c be -98 + (6 - -2) - -6. Let l = c + w. Let h(f) = f**2 - 6*f - 7. Give h(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is d7c - -4?\nAnswer: d80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 16*u + 6. Let p = 17 + -6. Let s(t) be the third derivative of -t**4\/8 - t**3\/6 - 11*t**2 - 4*t. What is p*s(d) + 2*b(d)?\nAnswer: -d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 14 = 0, -2*u + 2*z = -16 + 8 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(5*sqrt(112)*4 - 5*(sqrt(112) + 0)))**2.\nAnswer: 226800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -280*f - 168 = -308*f. Let j(s) = 6*s + 58. Let d be j(-12). Put d, 0, f in descending order.\nAnswer: f, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1089516?\nAnswer: 2, 3, 90793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 - -0.317310634.\nAnswer: -2.682689366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 87, -10, -5, -25 in descending order.\nAnswer: 87, 4, -5, -10, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - -23. Suppose -3*k = -3*l - 90, -2*k - l = 3*l - n. Let i = 55 - k. Is i a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of u**2\/2 - u - 2. Suppose 2*p + 2*n = 32 + 44, 5*p = -n + 174. Suppose 3*o + o = 2*r + p, -5*o + 45 = -3*r. Calculate q(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -1918*s + 1915*s + 44 - 19. Determine h(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4490 - -4487. Sort -0.2, x, 1, -6, 0.9.\nAnswer: -6, x, -0.2, 0.9, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -98\/5 + 19. Sort d, 1\/4, -1 in increasing order.\nAnswer: -1, d, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*t - 2*t. Let g(j) = 2*j. Let l be g(t). Let x(s) = 4*s - s**2 - l*s. Let r(n) = n**2. Calculate x(r(q)).\nAnswer: -q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -679 + 350. Let x = s + 1339. What is the thousands digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 3*b + 2*b**2 - b - b**2 + 2*b**3 - 3*b**3. Let s be q(-1). Which is smaller: s or 4\/17?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 2*x**5 - 11656*x**4 - 151956*x**3 + 525784*x**2 - 549086*x + 186912 = 0?\nAnswer: -16, 1, 5841","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 142*x**2. Let t(c) = -4*c**2 - 11*c + 33. Let y(j) = 2*j**2 + 6*j - 18. Let s(q) = -6*t(q) - 11*y(q). Determine s(b(l)).\nAnswer: 40328*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -151692288, -151692285, -151692282?\n\"Answer: 3*u - 151692291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -134, -596, -1360, -2420, -3770, -5404, -7316, -9500?\n\"Answer: q**3 - 157*q**2 + 2*q + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of -23*s**6\/135 + 137*s**5\/90 - 5*s**4 + 172*s**3\/27 + 8*s**2\/9 - 16*s + 3. What is v in q(v) = 0?\nAnswer: -1\/23, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25822 - 2486?\nAnswer: 23336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) + -5 + -4)**2*-5 + (sqrt(627)\/sqrt(44))\/((sqrt(363) - (sqrt(363)*-1 + sqrt(363))) + sqrt(363)).\nAnswer: -785 + 7921*sqrt(19)\/44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(70)\/(6*sqrt(90))*-2 + (2*sqrt(448) + sqrt(448) - sqrt(448))\/(sqrt(16)\/sqrt(4)*3).\nAnswer: -3 + 23*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-180)\/(-8)*(-16)\/24. Suppose i - 72 = -3*i. Let p = m + i. Solve -p*o - 14 = 2*o + 2*b, -4*b + 12 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 14*f - 16*f - 236, -4*f - 289 = 5*t. Which is smaller: t or -687\/11?\nAnswer: -687\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1896 is divided by 627?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1052611397 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -2 (b) 8 (c) -21 (d) -5 (e) -3\/17\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**2 - 68*u + 612. Let i be r(8). Solve 369 - 401 = -i*o for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 - 23. Let n = g + 10. Sort 4\/7, 4, n in decreasing order.\nAnswer: 4, 4\/7, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ozrup. Give prob of sequence uo.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -518*p**5 - 371*p**2 wrt p.\nAnswer: -31080*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 - 3*j**2 - 4*j - 2. What is r(5)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/(15\/5) - 3. Let n(z) be the first derivative of -11*z**4 + z**2\/2 - 1. What are the prime factors of n(x)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**3 - 6*z**2 + 7*z + 3. Let d be l(-7). Suppose -4*j + d*j = -2*r + 18, -3*r = -5*j - 34. Solve -4*a - r = -28 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2*n - 3. Suppose -3 = -4*l + u + 4, 3*l - u = 5. Suppose 5*w + 14 = l*k - 18, 4*k + w - 20 = 0. Is 7 a factor of p(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 537 is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 + 14*g**2 + 14*g + 16. Let a(n) = -4*n + 23. Let i be a(5). Suppose 10 = -i*p - 29. What is b(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2138532 by -10483.\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-2\/9)*a**(8\/9)*a**6*a**2 assuming a is positive.\nAnswer: a**(26\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 293*r**2 + 13*r**5 - 293*r**2 + 2 + (6 - 1 - 3)*(-5 + r**5 + 5).\nAnswer: 15*r**5 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19872 by -4.\nAnswer: -4968","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -389, -373, -347, -311, -265?\n\"Answer: 5*g**2 + g - 395","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 377 - 309. What is the highest common divisor of 442 and b?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**3\/9 + 3568*c**2\/3 - 7775302*c - 41816912004.\nAnswer: 2*(c - 5922)*(c + 5637)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -2*m + 4 - 8 + 3 + 0*m. Let k be h(-6). Suppose 8*f - k*f = -123. What are the prime factors of f?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of 2*a**5\/5 - a**4\/4 + 8*a**3\/3 + 3*a - 369. Find the third derivative of h(o) wrt o.\nAnswer: 48*o - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - 5) + (91 - 1)\/9. Solve 3*t - g + 3 = 3*k, -k + 1 = t for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 487578.8l?\nAnswer: 487578800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (8 + -17)) + -6\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101000 - 100111010101100100010?\nAnswer: -100111010101010111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 799\/3 + (-7)\/21 + 0. Suppose -165 = -5*n + 3*o, 2*o = -2*o. Let m = g + n. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17846.\nAnswer: 2, 8923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6549 and 29415.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 741, -15648 in descending order.\nAnswer: 741, -2, -15648","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 697539 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 706, 1336, 1884, 2356, 2758, 3096, 3376?\n\"Answer: o**3 - 47*o**2 + 764*o - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1)\/3 + 0)*(-311 + 119). Is -0.04 equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of -c**3\/3 - 3*c**2\/2 + 3*c - 2. What is r(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*j - 330 = -594 for j.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2*t**3 - 69*t**2 - 7*t - 462. Let y be o(35). Solve y*h = 504*h - 56 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 58\/107433 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-8))\/((-15)\/40).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -893\/16269 + 5\/319. Let b = -149\/102 + o. Let m = -482.5 - -483. What is the closest to -2\/3 in m, b, 5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21 + 14. What are the prime factors of 112\/(-24)*(k - -1)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1\/3, -2\/9, 12\/5, -2\/3 in decreasing order.\nAnswer: 4, 12\/5, 1\/3, -2\/9, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2601 and 1993743?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6246)\/(-12) - 1*10\/4 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 269299618?\nAnswer: 2, 7, 17, 599, 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2*p + 3)*(2*p**2 - 1 + 1) - 3 + 5*p**3 + 3 + (0*p - 3*p + 2*p)*(p**2 + 0*p + 0*p) + 0*p**3 + 0*p**3 - 2*p**3 - 3 + 3 + p**3.\nAnswer: 7*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eckccecedc. Give prob of sequence ek.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (-684)\/(-10) - 30\/(-50) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 3:26 AM?\nAnswer: 7:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 0 - 3 = 0, 0 = 5*o - 3*z + 3792. Let y = o + 1100. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/5)*i\/(i\/i**(9\/8)))\/(i**12*i)**(-2\/35) assuming i is positive.\nAnswer: i**(467\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mgh when three letters picked without replacement from mmmmmmigimmmgmgmmgih.\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = 4 - 18 - 10 for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of ((-5)\/10)\/(8\/(-2928))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11*k**3*u + k**3 - 52*k**2*u - 575*k**2 - 2*k*u + 149*k + 107*u + 24 wrt k?\nAnswer: 66*k*u + 6*k - 104*u - 1150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 115403 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.11? (a) -0.4 (b) 2\/23 (c) 0.2 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 9:26 AM?\nAnswer: 12:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -360 + 6025 = -953*w - 17843 - 4129 for w.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = 5*l - 16, 2*k + 195 = 2*l + 203 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 AM and 4:33 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 7578102\nAnswer: -2\/3789051","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 585344466 to the power of 1\/5, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 + 40\/15)*18. Suppose y*t - 40 = -4. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 + 2*d + 3. Let f be t(-5). Let m(w) = -6*w + 55. What is the lowest common multiple of f\/(-48)*(-6)\/(-4) and m(8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 18\/5 of a meter?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.16 (b) 2\/17 (c) 0.3 (d) 5 (e) 113\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -31 + 66*q - 21 + 48 in the form b + t*q and give t.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-2*(1*sqrt(19)*2 - (2*sqrt(19) + sqrt(19))*1))**2.\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 95*h - 2. Let l be w(4). Let u = l + -217. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18 - -22. Let p = 100 - 25. Suppose -u*c + p = 11. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 - 14475.7623.\nAnswer: -14475.8623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -24 (b) -0.5 (c) 912 (d) -17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.086 bigger than -10902.28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 12*a**3 - 3*a**2 + 2*a - 4. Let t(x) = -23*x**3 + 5*x**2 - 3*x + 7. Give -5*n(u) - 3*t(u).\nAnswer: 9*u**3 - u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/75)\/(17\/51 + -3 + 2).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 less than -132.17?\nAnswer: -137.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j = 88 - 72. Solve -5*g = k + 3, k - 2*g + 9 = -j*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -a - 1. Let n = -113 - -124. Suppose -n*b - 90 = -14*b. Solve 4*j - a = -b for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 618 is divided by 19.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 926577140 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(275)*2 + (-6*(sqrt(11) + 0) - -1*sqrt(396))**2.\nAnswer: -10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 50, 55, 74, 113, 178, 275, 410?\nAnswer: 589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 308399281 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 397\/5 (b) -3 (c) -16.75\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -30258*t**2\/11 - 19680*t\/11 - 3200\/11 = 0.\nAnswer: -40\/123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 - (0 + 12 + -15 - -3).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1417603 (base 8) to base 6\nAnswer: 12333443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 6, -3\/4, 58, 3\/14?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -573335*-3\nAnswer: 1720005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*d**4\/13 + 3324*d**3\/13 + 66362*d**2\/13 - 4175604*d\/13 = 0. Calculate d.\nAnswer: -46, 0, 27, 1681","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 851561 at most 851309?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 695 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 - 3*t - 2. Suppose 0 = 5*z + 5, -3*p + 2*z - 1 = 9. Determine y(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 + 13. Let s be 23\/(-21) + -5 + r. Which is bigger: s or -1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 3*s + s = 12, -r + 2*s = -2. Suppose 0 = -8*l + r*l. Suppose 0 = -11*c + 21*c + 10. Is l <= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 31\/6 of a day?\nAnswer: 7440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 10*k. Let l(y) = -6*y**2 + 8. Let a(v) = -4*v**2 + 5. Let x(p) = 8*a(p) - 5*l(p). What is x(n(b))?\nAnswer: -200*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 + 37*d**2. Let z be s(37). Solve z = -9*n - 24 + 60 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-113 + 253 - 135) + -24 + 1?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 AM and 11:57 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -3*h + 22. Suppose 2*v - d = 50, 0 = -v - 2*d + 4 + 31. Let s = v - 13. Calculate the lowest common multiple of s and h.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2, -3, -56.7, 0.2 in descending order.\nAnswer: 2, 1, 0.2, -3, -56.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -422*w + 1964 = -418*w. What is the remainder when w is divided by 61?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fnhnrnrffrrrnfhnrn. Give prob of picking 1 f, 1 h, and 2 r.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*f**3 + 0*f**3 + 2*f**3 - 35*f**3 - 34*f + 34*f - 2*f**3 - 4 + 4 - f**3 + 2*f**3 - 2*f**3 + (3*f + 2*f - 6*f)*(-3*f**2 + 3*f**2 - 2*f**2).\nAnswer: -37*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -30.88 + 30.78. Which is the nearest to z? (a) 0.1 (b) 5 (c) 2\/77\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**2 - i + 6. Let d be k(0). Suppose 3*s + 48 = 84. Suppose -7*g = -d*g - s. 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: b\"What is the pth term of 465, 929, 1393?\n\"Answer: 464*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 90750 times -1.6?\nAnswer: -145200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 90, 114, 140, 168, 198?\nAnswer: 230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 32\/10 - (-2)\/(-10). Suppose -x*h - 2*v + 13 = 0, 0 = -5*h + 3*v - 4 + 32. Let d = 0.6 + -1.6. Put 0.4, d, h in descending order.\nAnswer: h, 0.4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/3*(-1 + 0). Let b(y) = -y**2 - 8*y + 4. Let w be b(-7). Suppose -3*t = 2*j - 18, 3*j - w = t - 2*j. Solve -i = -g*c - 6, i = -t*i - 10 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -70*i - 2. Let v be l(-2). Let x be v\/15 + 4\/(-20). Suppose -5*m = 2 - 7. Solve 0 = 5*j + m + x for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -452714*s**3*u**2 + 294629*s**3*u wrt u?\nAnswer: -905428*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (68*i + 29*i + 42*i + (14 + 4*i - 14)*(3 + 0 - 1))*(-1 - 2*i**3 + 1).\nAnswer: -294*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 13 + 2. Let j be (-1)\/a + (-1)\/(-3). Suppose h + 34 = c + 2*c, -4*c + h + 46 = j. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190)\/(sqrt(10) + sqrt(40)) - (sqrt(931)*-2)**2)*2.\nAnswer: -7448 + 2*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28637978 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/5, 0.388, 1.561, 5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 78, 106, 138, 174?\n\"Answer: 2*l**2 + 22*l + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yfyofoofffkofffffyf. What is prob of sequence kff?\nAnswer: 55\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -15417, 266 in decreasing order.\nAnswer: 266, 3, -15417","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.0812 (b) 1\/75 (c) -0.5 (d) -21\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 20 = -g. Let s(f) = -2*f**3 + f. Let y be s(-1). Suppose 2*p = 2*j - 2, -j + y = 2*p - p. Solve p = -5*c - g*r + 17, 3 = c + 2*r + 2 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*c**2\/9 + 8920*c\/9 - 9945800\/9 = 0. Calculate c.\nAnswer: 2230","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 48 = -4*h. Suppose -h*u + 22 + 8 = 0. What is the least common multiple of u and 7?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12734?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 26 and 229.\nAnswer: 5954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -95 - -71. Let t be 6*(c\/9 - -3)*3. Solve 5*z - t + 1 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 608?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the second derivative of -n**5\/20 + n**4\/2 + 7*n**3\/6 - 4*n**2 + 5*n. What is the units digit of m(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 41101 - 26?\nAnswer: 41064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2 - 12*u - 6. Is 5 a factor of y(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a milligram in micrograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 - p**2 + 1. Let n(t) = -11*t**4 + 4*t**3 + 4*t**2 - 5*t + 18. Let j(u) = -n(u) - 4*r(u). Differentiate j(y) with respect to y.\nAnswer: 44*y**3 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3625758 to the nearest integer?\nAnswer: 1904","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91 is divided by -2 - (-1)\/(-1) - -26.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5 or -3623?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = -5*j + 29, 2*j - s - 260 = -255 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(3\/5)\/k)**(20\/11)\/(k*k**(1\/4)*k)**(-1\/16) assuming k is positive.\nAnswer: k**(-413\/704)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2730*d + 2735*d = 13050. Does 18 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -365 + -e?\nAnswer: -373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - -201210?\nAnswer: 201222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1594 - -1589. Sort 2, r, -3, 5, 30 in increasing order.\nAnswer: r, -3, 2, 5, 30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*b + 18 = -2*y - 11*b, 0 = 2*y + 5*b + 23 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18 - 238*z + z**2 - z**2 - 247*z - 454*z**3 + 461*z wrt z?\nAnswer: -2724*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 24.57?\nAnswer: -73.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - 3. Which is the nearest to 1? (a) 0 (b) -2\/11 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**2 + d - 1. Let q(o) = 5*o**4 - 45*o**2 + 40*o - 45. Let i(y) = 180*k(y) - 4*q(y). What is the second derivative of i(v) wrt v?\nAnswer: -240*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10184 is divided by 105.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -4*d**2 - 20*d - 72. Let x(q) = -8*q**2 - 41*q - 135. Let h(p) = 7*j(p) - 4*x(p). Find l, given that h(l) = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1049505?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = b - 2*z, 2*z + 272 = -5*b - 2*z. Let n = -45 - b. Suppose 2*y = 2*l + 6, 3*y - 2*l - n + 1 = 0. Solve 4*w - 2 = 10, -y*i + 3*w = -11 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 - 2*s + 3. Let x = -114 + 111. Determine u(x).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -7 - (-4 - 3 - -8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 1, -1, 43 in increasing order.\nAnswer: -7, -1, 1, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24480407?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a gram in milligrams?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m + 799. Let o be n(0). Let b = -2 - -5. Suppose -o = b*y + 13301. What is y rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 3*i = 24, 44 = 3*l - 4*i - 2. Solve -2 = 5*g + l for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 90 = -h. Let c = h + -21. Let o(q) = 2*q**2 - 24 + c. Let g(n) = 4*n**2. Give g(o(s)).\nAnswer: 16*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 17*w - 15*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -134574, -268551, -402528, -536505, -670482?\nAnswer: -804459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 + 4*t**2 - 6*t - 6. What is b(-4)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*5*(2 - 3). Let r = -3.84 + -0.16. What is the nearest to -1 in 1, r, m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 + 11*n + 12. Let a be h(12). Solve -5*m + 20 = a, -5*k + 3*m - 2*m = -16 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of -z**2\/2 - z - 14. What is c(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 6:19 PM?\nAnswer: 5:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = -3*b + 15. Suppose 4*y + 16 = 3*w, -2*y - y = -2*w + 9. Suppose -4*q + b*i = -3 - w, -q - 3*i = -8. Is 4 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - f + 30. Let m = -149.49 + 149.56. Do m and f have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100333 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: Solve -21*f = -24*f + 18 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15424 - 15418.0001. Let o = l + -6. Round o to 4 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 173 + 145015?\nAnswer: 145210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1633019 or 1633018?\nAnswer: 1633019","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 - 3*v**2. Suppose -11 - 1 = -2*k. Let a = 34 + -24. Suppose a*y - k*y + 12 = 0. Calculate n(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 + 6*k**2 + 2*k - 10. Let j be o(-5). Suppose 5 = j*g - g - a, g = 3*a - 7. Suppose g*s - 3 = 63. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156*q - 153*q + 49*z - 37 = 0, 5*z = q - 11*z + 13*z + 7 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 176, 13, 4, 0.05, -2, -3?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9835*r**2 - 9835*r**2 + r**3.\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -35 - -325\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -418\/72593 at most 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.036035079 rounded to 3 decimal places?\nAnswer: -0.036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes before 11:57 PM?\nAnswer: 9:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 + 4*c**2 - 3*c + 2. Suppose 3*l - 18 = -2*g, g + 0*l - 2*l + 5 = 0. Let r(v) = v**3 - 3*v**2 + 2*v - 2. What is g*o(p) + 4*r(p)?\nAnswer: p**3 - p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -586 + 602. What is the third derivative of -14 - g*b**3 - 64*b**2 - 3 + 16 wrt b?\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -r + 4*r. Let y(q) = -q**2 + 14*q - 30. Let w be y(5). Let d = w + r. Solve 2*x + 3*x - d = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 4, 3, -0.059106, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 1387 divide 8682620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:37 AM and 9:14 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 4*o + 672 = 0, -4*r - 32 = -2*o - 928. Let y be (r\/3)\/7 - (-1)\/3. Let n = y - -7. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i = -8.1 - -2.7. Let l = i + 5.7. Which is the fourth biggest value? (a) 6\/19 (b) l (c) -4 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -0.6, 1\/5.\nAnswer: -6, -0.6, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 388245214.\nAnswer: 2, 7, 29, 956269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((b + 0*b - 2*b)*(-2 - b + 2) + 2*b + b**2 - 2*b + b**2 - 5*b**2 + 3*b**2 + 0*b**2 + 11*b**2 + 0*b**2 + 3*b**2 + 2 - 2)*(b - 1 + 4 - 1).\nAnswer: 15*b**3 + 30*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1191 rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/92903 and -19\/48434.\nAnswer: 73764982","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - 3\/(-3)) + -9700. What is u rounded to the nearest one thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -620 + 624. Suppose -2*a + 3*i = i - 6, -i = -3*a + 3. What is the least common multiple of -2 + (-20 + a)\/(-2) and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 451146.\nAnswer: 2, 3, 17, 4423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2532 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: Calculate prob of picking 2 e and 1 d when three letters picked without replacement from {p: 7, s: 3, e: 2, w: 1, d: 6}.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 52825 and 14600.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-10*3\/6)\/1. Let v = 12 + -11.5. Let s = -31 - -30.6. What is the biggest value in h, s, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*z - 3350 + 3110 = 0 for z.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 110597807 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -16*y**3 + 5*y + 5. Calculate g(-1).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -3 + sqrt(275) + -2 + 4 + (-1*(sqrt(275) + -1) - ((sqrt(275) - (1 + sqrt(275))) + 5 - sqrt(275))))**2.\nAnswer: 10*sqrt(11) + 276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1941 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 2\/29, 5, 1\/8 in ascending order.\nAnswer: 2\/29, 1\/8, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.05 * 12.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 336258112 to the nearest integer?\nAnswer: 695","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 83051 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -50, 2\/7, -2?\nAnswer: -50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 0.36 (b) 13\/4 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4 from -49663183021.\nAnswer: -49663183017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 5*d + 20 = -5*k, 0 = 4*d - 2*k - 8. Let z(g) be the third derivative of -1\/24*g**4 + 0*g + 0*g**3 + d - g**2. Let m(h) = h. Give z(m(p)).\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2*x. Let r(z) = -z - 1584. Determine r(g(k)).\nAnswer: 2*k - 1584","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 + 2. What are the prime factors of (3 - -1)*(-16)\/j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 12 = -4*w + 2*w, -25 = -5*p for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 216 and 220?\nAnswer: 11880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2 - 5*v + 7. Let n = -4476 + 4471. Determine o(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 39361 and 62842648?\nAnswer: 5623","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 - 148*m**2 - 824*m + 4619. What is r(-142)?\nAnswer: 643","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 210200 to the nearest 1000.\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 5, s: 3}. Give prob of sequence ss.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 378 and 0.026?\nAnswer: 9.828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*x**2 - 11 + 11.\nAnswer: -22*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -22*f - 10. Let u = 35 + -35. Let y be (u - 4\/(-1))\/(-2). Does 13 divide g(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, b: 10, x: 2}. Give prob of picking 2 x.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -57 + 37. Let j be -22*(-1)\/10 - (-4)\/q. Solve -3 = -j*x - 1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.4268 - -0.3768. What is the nearest to -0.18 in -1, 14, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 925 divided by -185.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -17.3, -4, 1, -2, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-9)\/21)\/(11\/(-12551)). Let d be 6\/21 - 46\/14. List the prime factors of (k\/(-2))\/d + 3\/(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34 - (-2 + 59 + -5)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from ottottttotttttt?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 9:56 PM?\nAnswer: 9:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -2.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14 - 1) + (-98 - (72 - 107))?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 144 and 288?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 3*c**2)*(-9 + 9 + 10).\nAnswer: 30*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 3*i + 1 + 68, -5*v - i + 289 = 0. Let m = v - -161. Suppose 5*j - m + 83 = 0. Is j a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c - 1. Give d(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*m = 16*m + 196 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.4 and -2507627?\nAnswer: 2507626.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -32486.\nAnswer: 1\/32486","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 + -7. Let u = 178\/5 + -35. Which is the closest to -1\/5? (a) 0.2 (b) u (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.35*0.16\nAnswer: 0.536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 12 + 22 - 4*s**2 + 20 - 54. Let c(h) = 195*h**2. Determine c(f(g)).\nAnswer: 3120*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 + -30 - (-3 - 8) - 17?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3861*g = -4031*g - 7310 for g.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10421 and 153595.\nAnswer: 94153735","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2319440598 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 5*v**2 + 2*v. Let a(i) = -7*i. Determine j(a(b)).\nAnswer: 245*b**2 - 14*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -3*o + 2*h - 5, 37 = -3*o - 5*h. Put o, 0, -5, -1 in descending order.\nAnswer: 0, -1, -5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121870906849 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + -2 - 15\/(-5). Let u(m) = -2*m**2 + 10*m - 11 - 15*m + 6*m**y - m**2. Is u(8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 9. Suppose -25 = 5*p + 5. Let y = f + p. Which is greater: -10\/7 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 + 13. Solve 6 = -k + 3*k + f*r, -4*k + 5*r = 1 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -156*v = 139*v - 295. Suppose 5*g + 9 = 24. Let p(t) = 1. Let q(z) = -7*z**2 - 3. Let r(c) = g*p(c) + v*q(c). Let x(a) = -11*a**2. What is x(r(d))?\nAnswer: -539*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6718 - b**2 - 59*b - 6717 - 2*b**3 - 3*b**3 to h + k*b**3 + u*b**2 + v*b and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 2 d, and 1 g when four letters picked without replacement from ddzxztrgdzgxzdgxz?\nAnswer: 27\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 4 = -3*z, 15899 = -z - 4*f + 15922 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 5*h + 2395, 1278 = 4*k - 3*h - 1111. What is the tens digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140 = 20*b + 60 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -856*c**2 - 137*c**3 - 140*c**3 + 424*c**3 - 146*c**3 - 304*c**2.\nAnswer: c**3 - 1160*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 186 + 93. Suppose -x + c = 278. Solve 12 = 5*i - 3*w, -i + w = -w - x for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1\/10)*v**3)\/(v**(1\/12)\/((v*v\/(v**(-19)*v))\/v)))**(-1\/10) assuming v is positive.\nAnswer: v**(-1309\/600)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 55*h + 668. Calculate s(-12).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/14*1\/3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l + 3 - 11. Solve -d + 3 = -l for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72503489953 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 - (-1 + (-53406)\/56420). Let v = t + -3\/806. Let m be 3\/((-81)\/(-2))*6 + (-15080)\/10440. Is v at least m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2473 + 1767 + 2656 - 1513)*(1 + 2*z - 1) in the form h + g*z and give g.\nAnswer: 10766","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2097 a factor of 18698872?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = l - k - 16, -3*l = -2*k - 28. Let z = l - 0. Let g(i) = -i**3 - 45*i**2 - 43*i + 48. Let j be g(-44). Solve 0 = -j*t - 0 - z for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/252*(-918)\/68*168\/(-2196)?\nAnswer: 4\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*22.398507.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2172, 8459, 18674, 32601, 50024, 70727, 94494?\nAnswer: 121109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 + -10. Let y(p) = p - 1. Calculate y(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 248860 and 643080?\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 50.56473 litres in millilitres?\nAnswer: 50564.73","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 4 = -1. Are u and 0.02 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.07294? (a) 0.19 (b) 0.2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43 + 65 = 18*b for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 237572700?\nAnswer: 2, 3, 5, 791909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 1769078586?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11633 + -1626. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 341, 347, 355, 365?\nAnswer: 377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4811 + 293517\/61. Which is smaller: 0 or b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -142729, -570879, -1284463, -2283481, -3567933, -5137819, -6993139?\n\"Answer: -142717*f**2 + f - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -4*r**3 - r**2. Let v be g(-1). Suppose 4*n - 5592 = 2*j - 0*j, -v*j + 1405 = n. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -301902 - 3810 = 1382*l + 2092*l for l.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/2 or -1\/3213501?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 4*d + m - 12, 2*d - 6 = -2*m. Let a = 39 + -28. Let z be a\/12 + (-2)\/d. What is the second biggest value in 1, 0.1, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -112*g + 121*g - 9. Calculate the highest common divisor of 41 and g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -247*l**2 - 711*l**2 + 188*l**2.\nAnswer: -770*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (-4)\/2)\/(-8 - -6)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8259.62089 to the nearest one thousand.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 7*a + 1)*(a + 3*a + 2*a**2 - 3*a - 2).\nAnswer: 14*a**3 + 7*a**2 - 14*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**4 - t**3 + 1. Suppose 0 + 1 = f. Let x(m) = m**4 - 3*m**3 + 2. Let o(c) = f*x(c) - 3*j(c). What is the first derivative of o(i) wrt i?\nAnswer: 16*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4876636826 to the power of 1\/2, to the nearest integer?\nAnswer: 69833","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 213*d - 20 = 208*d. Suppose -k = -c - 0*c - 2, -c = 2. Suppose -5*y + 3*y + 88 = k. Calculate the smallest common multiple of y and d.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -296 + 291. Which is the fourth biggest value? (a) 5 (b) 0.3 (c) f (d) -4\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2 + 2*h - 6. Let b be 2\/(-9)*-6 - 16\/(-24). What is the smallest common multiple of a(b) and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3500 (base 6) in base 10?\nAnswer: -828","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 - -25. Calculate the remainder when 33 is divided by g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 9 = -3. Differentiate -12*d**c - 34*d + 13 + 34*d wrt d.\nAnswer: -36*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 0, -9?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2722840.8 months to millennia.\nAnswer: 226.9034","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(2\/7)*m**4*m)\/(m**(-2\/5))**(-37))**(-1) assuming m is positive.\nAnswer: m**(333\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5925985695 to the nearest integer?\nAnswer: 277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -5*v + 2, 0 = 2*d - 3*v - 0 - 2. Let j(m) = 2*m**2 + 2*m. Let l(x) = x**2 + x. Let o = 1022 - 1028. Let s(z) = d*j(z) + o*l(z). Solve s(t) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c**2 - 2*c**2 + 0*c**2 - 349*c**2 - 21384*c + 21384*c + (-1 + 4 - 1)*(2*c**2 - c**2 + c**2) + 3 + c**2 - 3)*(-c - 7 + 7)*(-1 - 1 + 3).\nAnswer: 342*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (-9 - -9 - (-2 + 1)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/(-30))\/((-75)\/1125)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/12*9*8\/(-18)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, h: 4, c: 2, l: 1, i: 2}. Give prob of sequence ni.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 16872*k - 438555. Calculate p(26).\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 22169*s + 221693. Calculate y(-10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*q**4 - 4696*q**3 - 2909000*q**2 - 176107200*q + 363888000 = 0. What is q?\nAnswer: -1140, -70, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*n + 0*n**3 + 23*n + 5*n**3 - 6*n**3 + n**2 to the form k*n**3 + o + d*n**2 + f*n and give f.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 9587 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, -4, 12, -2588, -5.\nAnswer: -2588, -5, -4, 0, 1, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/8*n**2 + 0 + 15\/2*n.\nAnswer: 3*n*(n + 20)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 16 = -4*f, -5*f + 6*f = 4 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12841*a + 7 + 12788*a - a**3 - 7.\nAnswer: -a**3 - 53*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28) + -3 - (sqrt(98)\/sqrt(2))\/sqrt(7))**2*3.\nAnswer: -18*sqrt(7) + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 128, 271, 424, 587, 760, 943?\n\"Answer: 5*t**2 + 128*t - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -41*i - 982. Give m(-23).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 2*q = 7, -n + q - 19 = -3*q. Solve 0 = x + 4 + n for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 9) + 5 + -9.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.010024 - 0.01. What is u rounded to 5 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62833688 is divided by 374010.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1025 (base 9) to base 11.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.02 * -5\nAnswer: -0.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 28977387 or 28977388?\nAnswer: 28977388","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -562 - -3*(8\/3)\/(-8). Let h = x - -953. What is the tens digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11 + 12 - 12)*(43*f - 23*f + 17*f) as v*f + x and give v.\nAnswer: -407","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 877?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 5*y = -68, 4 = 5*f + 8*y - 9*y for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 184 a factor of 12536?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 - 6*t**2 + 21*t + 129. Let v be m(-5). Let i be 24\/182 + 2\/(-7). Which is the nearest to v? (a) 2 (b) -1 (c) i (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**3\/5 - 72*p**2\/5 - 27*p - 66\/5.\nAnswer: -3*(p + 1)**2*(p + 22)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3\/6 - 2*i**2\/3 + i\/2.\nAnswer: i*(i - 3)*(i - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (426 - 512 - 320 - 1181)*(3*q**2 + q**2 - 2*q**2).\nAnswer: -3174*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 (base 9) in base 8?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -20372901*x**3 - 318*x**2 - 28167 wrt x?\nAnswer: -122237406","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 2*t**2. Suppose 21 = -2*r + 27. Let m(n) be the first derivative of 0*n**2 + r + 1\/3*n**3 + 0*n. Give m(j(b)).\nAnswer: 4*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 112 and 266?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 minus -5276?\nAnswer: 5276.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -53863\/48 + 1125. Find the common denominator of -79\/80 and d.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 15 = 3*p, -3*j = 5*p - 1581 + 1574 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5\/(-15)*-1*-1. What is the smallest value in 0, 1, -0.3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 912 to the power of 1\/2, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -25 + 27. Solve 0*f - v*f = 8 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 - 3*u**2 - 3*u - 3. Let s(d) = -2*d**2 + 3*d - 1. Let z = 3 + -1. Let j be s(z). Let y(g) = -g**2 - 3*g - 3. Let p be y(j). Determine v(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-50)\/104 + 6 + 125\/(-20) and -79\/6.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 566356603 < 566356603?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 - v**2 + v + 363. Let l be x(0). Suppose -3*y + 247 = 2*h + 2*y, 5*y = -3*h + l. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/5)*o*o**21)\/((o**22\/o)\/(o\/o**15)) assuming o is positive.\nAnswer: o**(-67\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 24 - 7. Suppose z = u - 5. Let r = -51 - -95. What is the greatest common divisor of u and r?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + 3*(1 + sqrt(50)))*5*-1)**2 + 2.\nAnswer: 750*sqrt(2) + 11277","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -272 divided by 1360152\nAnswer: -34\/170019","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11412043 (base 5) to base 8.\nAnswer: -321214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31019135?\nAnswer: 5, 7, 17, 37, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 - -5 - (1 - 21\/7 - 39092) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + h - 9 = 0, -4*h + 3*h + 17 = 3*v. Suppose v*k = -3*s + 4 + 10, 4*s - 2 = -2*k. Solve -4*p + p = k*i - 7, 2 = -4*p - i for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eehechchcqe. What is prob of sequence ec?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 16825940981 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 3 + c**2 + 2 + 7*c - 2*c + 3*c. What is h(-6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -150*y = -28*y + 362*y - 968 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76 is divided by 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 63*m + 13. Let l(i) = -125*i - 23. Calculate 3*l(a) + 5*z(a).\nAnswer: -60*a - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (9344\/(-192))\/(((-44)\/84)\/(-1)). Do -92 and f have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -110 times -21737?\nAnswer: 2391070","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 212, 217, 226, 239, 256, 277?\nAnswer: 302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 60 = 12*y. Does 25 divide ((-75)\/(-6)*y)\/(4 - 3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1\/3 (b) 1.7 (c) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -771\/413 - -9\/59. Suppose n + 2 = 0, 0 = -2*o + 4*n - 2*n + 52. What is the common denominator of y and 3*2\/o*7?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -148?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + -1. Let b = 1 - h. What is the units digit of 1*(8 + -3) + b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -6516 = -6517?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccccpccp. Give prob of picking 2 c.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*q - 45 = 20*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 27222344?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71*x**2 + 514*x**3 + 71*x**2 - 513*x**3.\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 242 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -4*5\/50*5\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 5*u - 3*u + 12, -2*u - 10 = -4*i. Let j be 0 + (i\/9 - 350\/(-126)). Solve -c = c - 3*d - 11, -3*d - 9 = -j*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**2. Let i(d) = -4919*d**2. Give c(i(u)).\nAnswer: -24196561*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (53 - -2393)*((-8)\/(48\/(-117)) + -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*(-1)\/8)\/(6\/24).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f**3 - 204*f**2 - 392*f = 0.\nAnswer: -49, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -91 + 201. Is 4 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 7, u: 2, m: 2}. Give prob of picking 1 m and 1 u.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19 - 2. Let c(n) = -n**2 + 19*n - 19. Let d be c(14). Let q = -1 + d. Calculate the remainder when q is divided by z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85409 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2.3987 times -0.4\nAnswer: 0.95948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 5*h - 6. Let f(i) = -i + 1. Let v(m) = a(m) + 6*f(m). Let c(l) = 1. Let s(j) = 4*j**2 - 6. Let n(d) = 6*c(d) + s(d). Determine v(n(x)).\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 3 = 117. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3\/166 - -187\/1162. Let q = 0.01 + 1.99. Which is the nearest to 4? (a) q (b) o (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*c + 17*c - 95 = -19*c. Suppose -a + 15 = 4*a. Sort 8, 5, a, c in descending order.\nAnswer: 8, 5, a, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17 - 11. Suppose -3*p - 3*n = 330, 5*p - s = 4*n - 511. Round p to the nearest 10.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -57 + 283\/5. Which is the biggest value? (a) 1\/44 (b) k (c) -0.3 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7395 or 7384?\nAnswer: 7384","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7323636.\nAnswer: 2, 3, 67, 9109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-119)\/(-21) - (-2)\/(-3). Let d be (h\/3)\/5*0. Suppose 4*v = 4*u - 9*u + 129, 5*v + 3*u - 145 = d. What is the remainder when v is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 6*j + 51. Let u be w(-6). Suppose 3 = -2*m + u. What is the greatest common factor of 54 and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 5*z + 15. Let f(v) = 3*v + 8. Let o(y) = 7*f(y) - 4*w(y). Give o(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -6*x**3 + 3*x**2 + x - 2. Let f = 67 + -61. Suppose f = -4*k - 2. What is the units digit of b(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1951 is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 + 7*l**2 + 7*l + 8. Let w be z(-6). Solve 0*f**3 + 2*f**2 + 0*f**2 + 0*f**2 + w*f**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 95 + -93. Let r be (((-21)\/(-18))\/(-7))\/1. Put r, p, 1 in increasing order.\nAnswer: r, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/((l*l*l*l**(1\/70)*l*l*l*l*l)\/l))\/l**(16\/11))\/(l**37)**17 assuming l is positive.\nAnswer: l**(-490081\/770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 90961121 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1846517?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 15444 and 24.64?\nAnswer: 15419.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 50*m + 8*m**3 + 47*m - 3*m**2 + 51*m - 157*m wrt m.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10814 * -1.\nAnswer: -10814","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 + 9 = -5*i. Suppose 0 = 2*p - i*y + 8, 4 = 5*y - 16. Suppose 0*t - p = -t. Solve t*m = 3*m + 5 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -386 - -682. Let m = -281 + p. List the prime factors of m.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 5. Is ((-6)\/(-8))\/(n\/208) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1557 is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4220466 (base 8) to base 3.\nAnswer: -2010000221022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1560 and -29.9.\nAnswer: 1530.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 6 + 2 - 10 + r. Let z(o) = -4*o + 7 + 4 - o. Let d(l) = -22*y(l) - 4*z(l). Let g(j) = -2*j. Calculate d(g(q)).\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 PM and 11:43 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 960*f + 619. Does 41 divide l(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23\/75 + -2\/75. Let p be (-33)\/12*(4305\/(-330) + 13). Which is the nearest to 0? (a) s (b) 0.05 (c) p (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + z = -2*c - 39, z = 5*c. Let h be -1030*(z\/50)\/((-3)\/8). What is h rounded to the nearest one hundred?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -123 - -128. Let s be 3\/(9\/116)*3\/g. Which is bigger: 24 or s?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + 2 + 2*r**3 + 0*r**3 + 2*r**3 - 5*r**3 - r**3 + (-r - 2*r + 2*r)*(1 - 1 + 2*r**2).\nAnswer: -4*r**3 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3062 = 495*t - 11340 - 1438 for t.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i + 1. Let a(y) = -2*y**3 + 2*y - 1. Determine a(k) - 2*g(k).\nAnswer: -2*k**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101 = 10*i - 9*i. Let b = i - -100. Is -5\/61 less than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**20\/f**(-39)*f**(-30)\/(f*f\/(f*f**(-2\/7))*f*f))**(-24) assuming f is positive.\nAnswer: f**(-4320\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300)\/sqrt(384))\/(sqrt(810)*3).\nAnswer: sqrt(5)\/216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 153109 (base 12) to base 3.\nAnswer: 200011212200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.4, 0, 557\/3, -0.3 in descending order.\nAnswer: 557\/3, 3, 0, -0.3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -101 - -107. Solve -12*v + 10*v = -k for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31070?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -39 + 48. Suppose 3*r - y*r + 126 = 0. Solve 0 = -5*q + 4*j - r, q + 10 = -2*q + 5*j for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 - -11. Let z(g) = 3*g**2 - 2*g + 2. Let w be z(1). Suppose -2*v - 1 = -w*v. Solve -i*b + v - 9 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -25, -116, -267, -478, -749?\n\"Answer: -30*a**2 - a + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 232 a factor of 1320091471?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of -1919*j**7\/105 + 41*j**3\/6 - 2755*j**2 - 2. Differentiate k(h) with respect to h.\nAnswer: -15352*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l - l + 0*l)*(l**3 + 40*l - 20*l - l**2 - 21*l).\nAnswer: -l**4 + l**3 + l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-36))\/((-1)\/(-2))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2\/9 (b) -3 (c) -168 (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22, -1642, -4346, -8146, -13054, -19082?\nAnswer: -26242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101111 + -111010110011001?\nAnswer: -111010101101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 11:02 AM?\nAnswer: 11:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 60 = 7*c. Let i(y) = -3*y**2 + 7*y + 4. Let z be i(c). What is the closest to 2 in -5, -0.3, z?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1979905?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -4*p - 19. Let v be t(-5). Let q be 14\/8 + -3 + 2. Which is smaller: v or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -162*s**3 - 165*s**3 - 664*s**2 + 26*s**4 - 22*s**4 + s + 326*s**3 as o*s + v*s**3 + j + x*s**4 + p*s**2 and give p.\nAnswer: -664","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 600409\nAnswer: 4\/600409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/((25\/(-5))\/5). Let f be 3*(25\/15)\/u. What is the second derivative of -7*a + 13*a + a**5 - 2*a + 12*a**f wrt a?\nAnswer: 260*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 15*h. Let k = -6 + 10. Let g be b(k). Calculate the greatest common divisor of 24 and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3 - (-39)\/3) + 1. Let z = l - 8. Solve z*k - 4*b = k - 14, 0 = 5*k - 4*b + 17 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 - 8*t**2 + 9*t + 5. Let c = 16 - 25. Let j be w(c). Suppose j*q - 155 = 240. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-3)\/(-39))\/((-18)\/36). What is the nearest to 0 in b, -2\/11, 0.2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 + 81. Let k = 60 + -126. Let v be 1*(-76)\/k - (-4)\/22. Sort 0.2, f, v in decreasing order.\nAnswer: f, v, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 8 + 4 = 0. Calculate the remainder when (-580)\/(-28) - (-4)\/14 is divided by f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 0.26, 16.06, -2 in ascending order.\nAnswer: -2, 0.1, 0.26, 16.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -28 - 21 - 16*n**4 - 19*n**4 wrt n?\nAnswer: -140*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/19)\/z**(-8))\/((z*z\/(z**10\/z))\/z)**(-6\/11) assuming z is positive.\nAnswer: z**(738\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 3*d**3 - 33*d**2 - 10. Let y be j(11). Is y bigger than -78\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 19*o. Let k(g) = -9*g**2. Let a(q) = -5*q**2. Let n(t) = 11*a(t) - 6*k(t). What is p(n(v))?\nAnswer: -19*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9\/7, 1\/3, 0.2, -5\/2 in decreasing order.\nAnswer: 1\/3, 0.2, -9\/7, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5811448651 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 4:34 PM?\nAnswer: 5:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-16)\/20*-10 - -7. Calculate the greatest common factor of 40 and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 4*d + 27, 2*d - x + 2 - 1 = 0. Let i be d - (1 - 8 - 0). Solve -2 = i*n - 2*z + 2, 3*n - 2*z = -3 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 995 + 610. Does 32 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3\/5, 0.5, -142 in descending order.\nAnswer: 3\/5, 0.5, -3, -142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -126*y**2 + 2908*y - 2782.\nAnswer: -2*(y - 1)*(63*y - 1391)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71774.\nAnswer: 2, 17, 2111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one sixth of a decade?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1264\/3 + 422. Let c(j) be the second derivative of 6*j + 1\/30*j**5 + 0 - 1\/3*j**3 - p*j**2 + 0*j**4. Suppose c(x) = 0. What is x?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 886 is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 449841972 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15 + 20. Suppose 0*g - 4*n + 28 = 3*g, -n + 8 = g. Let k(u) = -g*u + s*u + 0*u. Let x(m) = -3*m. What is x(k(v))?\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1310, -2623, -3936, -5249, -6562, -7875?\nAnswer: -9188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 585483 is divided by 170.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -102 - (-26 + -32) - (-8 + 1)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * 0.0673823\nAnswer: -0.02021469","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 51291?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 - 8.89. Let r = y - -2.89. Which is the second smallest value? (a) r (b) 0.4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 58? (a) -7\/2 (b) 42 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine fifths of a century in decades?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 + 136*d**2 - 4646*d + 1716. Calculate f(66).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 4\/((-1 - 1)\/(-2)*6)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 15\/4 of a microgram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/5))**(-10) assuming q is positive.\nAnswer: q**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.036 (b) 1\/2 (c) -0.05 (d) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 8*y - 83. Determine m(11).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 45 = -g, -g - 4*p = -4*g + 95. Suppose 57 + g = d. Suppose d = w + 19. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 3*c. Let j(g) = -2*g - 1998 + 12*g**2 - 6*g**2 - 5*g**2 + 2015. What is j(c)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 110 and 4802.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 793503649?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 186351713, 186351712, 186351711, 186351710, 186351709?\n\"Answer: -r + 186351714","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -779.896908741 - -0.036\nAnswer: -779.860908741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 71, -4, 2579 in increasing order.\nAnswer: -4, 5, 71, 2579","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mttddu. What is prob of sequence mu?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -13, 9, 3, 483?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 4*c**2 - 1. Does 3 divide l(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -4*n + 279. Let z be f(0). Let m = 15 - 42. Let o = 58 + m. Calculate the greatest common factor of o and z.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -36084, -71967, -107848, -143727, -179604, -215479, -251352?\n\"Answer: g**2 - 35886*g - 199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 64 (base 16) in base 15?\nAnswer: 6a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - 0.259734307942592?\nAnswer: -5.259734307942592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**2 + 206332*v + 10326600.\nAnswer: -4*(v - 51633)*(v + 50)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 122, -0.3 in increasing order.\nAnswer: -3, -0.3, 122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.04 - 9190.\nAnswer: -9190.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/3 + (-110)\/(-150). What is the nearest to n in -0.3, -2\/11, 5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -497 - -503. Suppose 3*q - 6*u - 88 = -u, q - 3*u - 36 = 0. What is the units digit of q - (-8)\/(c\/3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 244388949 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -25877, -51562, -77257, -102968, -128701, -154462, -180257, -206092?\n\"Answer: -m**3 + m**2 - 25681*m - 196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3570 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 - (7 + -3 + 6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 0.051, 40, -2\/7, 1, -0.5 in decreasing order.\nAnswer: 40, 1, 0.4, 0.051, -2\/7, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 - 15 = -w + 2*x, 5*x + 59 = w. Let m = -36 + w. Calculate the greatest common divisor of m and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k and 1 c when four letters picked without replacement from {c: 2, f: 3, p: 1, k: 6}?\nAnswer: 8\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*k - 35 + 35 + 8*k.\nAnswer: 13*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-3)\/(-135)*1\/((-18)\/1125) and -31\/204?\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4024 is divided by 1919.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**6\/(j**(4\/3)*j)*(j*(((j*(j**(-7)\/j)\/j)\/j)\/j)\/j)\/j**(-2\/13)*((j\/j**(1\/5))\/(j**2*j*j))\/(j**6\/(j\/(j*j\/(j**(-2\/7)\/j)))) assuming j is positive.\nAnswer: j**(-24113\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00941173 rounded to 3 decimal places?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*w - 82*w + 193*w.\nAnswer: 41*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 + 3*n + 46. Determine x(0).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*o + 3 + 5 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -26 + -6.3. Let x = a - -33. What is x rounded to 1 dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from narjvov. What is prob of sequence nova?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.5, -1, -9?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 + 17*t**2 + 17*t - 5. Let l be d(18). Let o = 31 + l. What is the remainder when 12 is divided by o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3 - -4)*1*13. Find l, given that 2*l**2 + 3*l - l**2 - q*l**2 = 0.\nAnswer: 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 18\/6 + (1 - 2). Suppose c*d - 226 = 3*s, -16 = -s - 3*s. Calculate the greatest common divisor of 17 and d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -s - 1 - 71*s**2 + 2*s - 5*s + 3*s + 6*s wrt s?\nAnswer: -142","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pxs when three letters picked without replacement from xssespsxsisisssisi.\nAnswer: 5\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 178 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 3*i = 3269, 3*w - 6*i + i - 4903 = 0. Suppose 0 = 6*q - 2*q - w. Let d = -152 + q. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 + 5 + -3 + 3. Let f be -13*q\/3 + -1. Let o = f - -45. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**5)**27\/(s**12\/s**(-5)) assuming s is positive.\nAnswer: s**118","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 10*m - 410. Let r = 655\/8 - m. Which is the closest to 0.4? (a) r (b) 0.4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1455, -72, 1311?\nAnswer: 2694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -2*b - 2*b**3 - 5*b**3 - 31 + 10*b**3 + 24*b**2 - 2*b**3. Calculate the common denominator of (-4)\/6 - (-28)\/33 and i(-24).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -75*g**2 - 7 + 313*g**2 + 11*g - 79*g**2 - 83*g**2 - 74*g**2 in the form r*g + q*g**2 + v and give v.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -63, -90, -131, -186?\n\"Answer: -7*k**2 - 6*k - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s*s\/(s\/((s*s**(1\/4))\/s))*s)*s*s)\/(s\/(s*s**(1\/3))))\/(s**(2\/3)*s)**(-47)*(s**3\/(s**(3\/2)\/s))**(-24) assuming s is positive.\nAnswer: s**(233\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 184490934.\nAnswer: 2, 3, 30748489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -226 smaller than -151?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 3 + (-1 + (1*sqrt(7) - sqrt(7)))*5 + -1)**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 5:05 AM?\nAnswer: 5:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*-379.\nAnswer: -37.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 14*d - 336. Let k be v(23). Let j(q) = q**3 + 14*q**2 - 36*q - 86. What is the lowest common multiple of j(k) and (1*(9 - -1))\/1?\nAnswer: 2090","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 r, 1 v, and 1 p when four letters picked without replacement from {p: 6, d: 1, x: 1, v: 3, i: 1, r: 1}?\nAnswer: 18\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 0.18 (b) 0.5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ov when two letters picked without replacement from {v: 1, q: 1, j: 5, o: 9}?\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1279672 to the power of 1\/3, to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 times 41?\nAnswer: -451","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 + 0. Let d be p\/8 + 4\/(-16). Let z = -3230.5 + 3230. What is the fourth smallest value in d, -0.2, 0.1, z?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 43 - 25. Suppose -2*h = s - 90. What is the remainder when h is divided by 1 + 6\/3 - -10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85 = 46*k - 377 + 94 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 123\/40 and 13\/68 - (-4 + 10)\/6.\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -3*w + 10. Suppose 0 = 5*j + 2*g - 8 - 22, 0 = 3*j - w*g - 34. Is 8 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/6666 and -37\/32997912.\nAnswer: 362977032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23.6 - 24. Which is the closest to i? (a) -4 (b) 2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, v: 1, s: 1, y: 3, x: 4}. What is prob of picking 2 x, 1 s, and 1 y?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -463*i**3 + 13*i + 18. Let w be y(-18). What is w rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -25*(32\/(-80))\/(8\/8).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.3 + 4.3. Let j = -1245 + 1244. What is the fourth biggest value in -0.5, h, j, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 13230, -1, 2, -169 in increasing order.\nAnswer: -169, -1, 2, 13230","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 300*m = 309*m - 14355. Does 10 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 39307?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkmm when four letters picked without replacement from kmmmkkmm?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*p**3 + 33*p**3 + 43*p**3 - 14*p**3.\nAnswer: 47*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -19987930 rounded to the nearest one million?\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 + 10 = -3*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 404*a + 87197. Give n(-216).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b = -b. Let j(p) = -2*p - 1 + 4*p - p. Let x(g) = -g**3 - g**2 + 4*g - 9. Let i(q) = 4*j(q) - x(q). Calculate i(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 22, 5, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16063 - 16063. Which is bigger: d or -1410.8?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 523 is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of 0*b + 2\/3*b**3 + 0*b**2 - 1\/16*b**4 + 111. Factor k(z).\nAnswer: -z**2*(z - 8)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -272*m**2 - 69194*m**3 - 2276 - 6436 + 69198*m**3 + 4884*m.\nAnswer: 4*(m - 33)**2*(m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of -d**4\/3 + 4*d. Let q(s) = s**2 + s. Let l(g) = 3*g**2 + 4*g. Let x(y) = -l(y) + 4*q(y). Determine t(x(i)).\nAnswer: -4*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4766?\nAnswer: 2, 2383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -5*g + 1245, -v = -11*g + 8*g + 754. Is g a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**10\/q)\/((q*q**(-2))\/q) assuming q is positive.\nAnswer: q**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**2 + 3*p - 7. Let j be c(-5). Suppose 3*d - 5*d - 2*n + 146 = 0, 0 = 2*d + j*n - 142. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 + 30*y**2 + 1139*y + 26824. Calculate l(-26).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.29 and 0.5633?\nAnswer: -0.163357","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 3 = 3*d. Suppose d*z - z = -2*q + 12, -6 = -z + 5*q. Let p be (9\/z)\/(102\/8). Which is the closest to -1? (a) 1\/2 (b) p (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 771 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w + 1. Let p(j) be the first derivative of -19 + j - 1\/2*j**2. Let t(c) = -2*p(c) + y(c). Find the first derivative of t(x) wrt x.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-210)\/((-98700)\/235))\/(106\/(-12))?\nAnswer: -3\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 295 (base 10) to base 4.\nAnswer: 10213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16016?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, d: 10, q: 1, a: 2, u: 2, r: 2}. Give prob of sequence au.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4040 at most 4041?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 3155*w + 7. Let l be f(11). Suppose 13*d - l - 43665 = 0. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 4*j - 10*y - 8, 17 = j - 5*y. Let d(n) = -8*n**2 + 2*n - 2. Let f(r) = -8*r**2 + 3*r - 3. Calculate j*d(s) + 2*f(s).\nAnswer: 8*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*c + 276 = 10*c. Let j = c + 69. What is the closest to j in -2, -1\/4, -6?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13241 - 3444413?\nAnswer: -4013204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16725956.\nAnswer: 2, 13, 61, 5273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-176)\/10)\/(36852\/46065).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000057332195 to 7 dps.\nAnswer: 0.0000057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - q + 3*h - 17 = 0, 5*h - 20 = 0. Suppose -11 = 24*l + 37. Put l, q, 4, 3 in descending order.\nAnswer: 4, 3, l, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7.2, -0.3, 225 in descending order.\nAnswer: 225, -0.3, -7.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10876*j**3 + 14*j - 1522*j**2 + 1522*j**2 - 10855*j**3.\nAnswer: 21*j**3 + 14*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1899 and 6119?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*z - 4*t - 350 + 672 = 0, -3*z + 35 = -2*t + 82 for z.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i - i + 0*i)*(-2*i**3 - i**3 - 2*i**3).\nAnswer: 10*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -106 + 111.6. Let z = t - 9.6. Which is greater: z or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 g when two letters picked without replacement from eecneggghghhe.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24187 is divided by 175?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 + 5. Let m be (j + 6)*1 + -1. Let a(b) = 3 + b - m. What is a(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1\/2*a**4 + 0 + 0*a - 1\/2*a**3 - a**2 = 0. Calculate a.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 25 - 6*r + 17*r.\nAnswer: 11*r + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = g, -5*o + 2 = 2*g + 1. What is the tens digit of (0 + o)\/1*-15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(33)\/sqrt(3) + sqrt(11))*-1 + 1)*-6 + 4 + (-2*sqrt(88)\/sqrt(4))\/(4*sqrt(8)\/sqrt(4)) + 4.\nAnswer: -16 + 23*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - -0.18254.\nAnswer: -2.81746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -275655 divided by -5.\nAnswer: 55131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 3*w - 11 = 0, 2*f + w - 12 = -25 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a century in months?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 219 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of -p**6\/15 - 5*p**3\/6 + 2*p**2. Differentiate h(r) wrt r.\nAnswer: -24*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1022 (base 3) in base 5?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and -125472908.\nAnswer: 12547290.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 16*b - 112\/3*b**3 + 4*b**2 - 16\/3 + 16*b**4 = 0.\nAnswer: -2\/3, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7703984021.\nAnswer: 23, 1559, 214853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -568 - -570. What is the lowest common multiple of 22 and h?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*t - 15*t = 5*n + 285, -2*n = -3*t + 433. What is the greatest common divisor of t and 17545?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3572 + -3581. Which is bigger: -207\/20 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1\/55919 - 248000768\/167757. Which is smaller: f or -1479?\nAnswer: -1479","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 296\/(-740)*70\/4?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 338686.6 kilometers to centimeters.\nAnswer: 33868660000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4033445 - 128.758?\nAnswer: 4033316.242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4027 is divided by 1908.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1366677 (base 10) to base 13.\nAnswer: -38b0b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**2 - p - 5. Let u(a) be the third derivative of a**6\/720 + a**5\/30 + 2*a**2. Let q(t) be the third derivative of u(t). Calculate -4*q(g) - r(g).\nAnswer: g**2 + g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 9}. What is prob of sequence eeee?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 4*o - 1 + 2 = 0, -r + 3*o = -2. Let g be 10\/25 + 2\/(-5). Sort r, g, -4 in descending order.\nAnswer: r, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 + (-4 - -6))\/(4 + -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12956?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -15*t. Let p(n) be the third derivative of -4*n**5\/5 + n**3\/6 + 3895*n**2. What is b(p(k))?\nAnswer: 720*k**2 - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*s = -163494 - 94906. What is s rounded to the nearest 1000?\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.1 + 0.5. Let w = 49 - 29. Let r be ((-6)\/(-12))\/((-2)\/w). What is the third smallest value in y, -2, r?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*z + 53*z + 7 = -3*x, -4*z - 29 = 9*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -8*w. Let v(u) be the second derivative of -u**6\/240 - 9*u**4\/2 - u - 20. Let k(p) be the third derivative of v(p). Give t(k(m)).\nAnswer: 24*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 0*x + 10 - 7 - 2*x + 4*x + x**2. Let w be a(0). Suppose 8*c - w*c = 95. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1797 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 486.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2 - 8*o + 6. What is f(6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express i + 11*i**3 + 4*i**3 - 2*i**3 + 2 as t*i**3 + s*i + c*i**2 + w and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -668280610574 + -209.5.\nAnswer: -668280610783.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = g, 2*m = -2*g - g + 5. Solve 2*d = -q + 5, -g*d - 1 + 15 = q for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -16234? (a) 0.3 (b) -0.3 (c) -13 (d) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in seven quarters of a micrometer?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h + 49148 + 293*h**3 - 98288 + 49138 + h.\nAnswer: 293*h**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 243981, 245931, 247881, 249831?\n\"Answer: 1950*w + 242031","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22, -105, -316, -611?\nAnswer: -990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 2*s**2 + 6*s + 6. What are the prime factors of w(-8)?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 196.7 + -197. Let t = -3.36 - -2.96. Sort t, 0, -0.5, v.\nAnswer: -0.5, t, v, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 100.8 - 238.656. Let d = m - -138. Round d to two decimal places.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 AM and 3:22 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(77) + sqrt(77))*5)\/(2*sqrt(44)).\nAnswer: 5*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*d - 8 = -20 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i**(-2\/23)*i*i**(1\/5)*(i\/((((i\/(i**(3\/5)*i))\/i)\/i)\/i*i))\/i**0 assuming i is positive.\nAnswer: i**(657\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 + y + 1. Let u(v) = -v + 3. Let t be u(-1). What is the units digit of j(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in seven halves of a micrometer?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21912 is divided by 163.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*c - 20*c + 0*c**3 + 2 + 2*c**3 + 13*c to the form j*c**2 + l*c + f + p*c**3 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -8*6\/(-96) + 1410\/4. Let i = n - -587. Round i to the nearest one hundred.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 2*j - 118, y + 59 = j + 5*y. List the prime factors of j.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 27 = 4*r + 3*n, 4*r = 4*n + 20. Suppose 5*j - r*j = 2*y - 21, -4*j - 33 = -5*y. Let u(p) = p**2 - 7*p - 12. Determine u(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 + 6. Let y(i) = 135*i**3 - 1. Let t be y(w). Is (1 - -2) + (2 - t) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + -1 - (5 - (16 + -13 - 0 - -5))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2683, 2683, 2685, 2689?\nAnswer: 2695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 2 x, and 1 e when four letters picked without replacement from xyxrzyxneeryrexxr.\nAnswer: 3\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 48 and 1296.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 - 4 - -5) + -133 + 99.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5\/10 + 0 + 0. Let a = -0.7 - 0.3. What is the nearest to -0.5 in a, -4, j?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1, 5, -2\/11, -41, 0.3, -0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 53\/11 - (-2)\/11. Let l = -3 + o. Suppose -l*w + 62 = -9*j + 4*j, 5*w - 155 = -5*j. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10985*c**4 - 13318890*c**3 + 85754760*c**2 - 184483040*c + 132370560.\nAnswer: 5*(c - 1206)*(13*c - 28)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.02 + 0. Let q(k) = -662*k - 1990. Let d be q(-3). Which is the nearest to 3\/7? (a) d (b) h (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = -2*l - 5, -9186*o + 9184*o + 5*l = -13 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 14 = -2*m, -2*m + 3*m - 4*i + 11 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -103228526*k + 5483282 wrt k?\nAnswer: -103228526","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29582 - 8067*k**2 - 29582 to d + x*k + j*k**2 and give j.\nAnswer: -8067","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of -13\/12*m**4 + 1\/6*m**5 + 0 + 0*m - 6*m**2 + 2*m**3. Solve j(w) = 0.\nAnswer: 3\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of -n**4 - 31*n**3\/6 + n**2 - 121. Differentiate o(h) wrt h.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -3*n**3 - 2*n**2 + 3*n + 3. Let v(f) = 3*f**3 + f**2 - 2*f - 2. Let l(y) = y**2 + 54*y - 949. Let i be l(14). Give i*v(x) + 2*z(x).\nAnswer: 3*x**3 - x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2))**(-2\/103)\/(d*(d*(d*d*d**(-3\/2)*d)\/d*d*d*d)\/d*d*d)**(-25\/7) assuming d is positive.\nAnswer: d**(33531\/1442)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -86 times -0.062?\nAnswer: 5.332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2eb - -1cac?\nAnswer: 1f97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -5*b**3 + 4*b**3 - 77*b**2 + 72*b**2 - 5. Suppose 15 = 3*w + 2*w. Suppose w*s = 5*s + 10. Determine q(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -108 + 96\/7*a - 3\/7*a**2.\nAnswer: -3*(a - 18)*(a - 14)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 3*w - 1. Let a = 8 + -5. What is the lowest common multiple of g(2) and a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 - -5.3. Let s = a + 0.7. Let q = -2 - -1. Is q at most as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 69 + -65. Let i = 46 - o. Suppose -24*p = -18*p - i. Is p a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - 2. Let y be c\/((-2)\/100*2). Suppose 3*s = -5*p + y, 0*p + 5*s + 10 = p. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0*(-125)\/(-50)*(-2)\/10.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 23 = -c - 0*y, -5*y = c - 15. Suppose -3*v + 3 = -2*l - 12, -5*v + 2*l = -c. Is ((180\/16)\/v)\/(1\/144) a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -7*j**2 - 19*j + 16. Let q(u) = -6*u**2 - 17*u + 13. Let a(w) = -5*k(w) + 6*q(w). Suppose -147 = 6*f + f. Let i = 15 + f. Give a(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7696612 is divided by 25?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8203 + -8254. Are 0.077 and p non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.08 + 0.48. Which is the closest to 1? (a) t (b) -2\/11 (c) 5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 - 26. Suppose -578*g = -582*g. Which is smaller: g or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -91 - -639\/7. Let c = -0.4 + 0.3. Let z = 2.97 - -0.03. What is the closest to 0 in b, z, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -614 + 24.2626\nAnswer: -589.7374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/99 and 38\/33.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -94*l + 29*l + 5*l**2 + 46*l + 21*l.\nAnswer: 5*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, d: 1, p: 1}. Give prob of picking 1 f and 1 p.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 673\nAnswer: -4\/673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 12*i - 22. Let j be a(2). Solve -j*n + 0*n + 3 = g, -4*n = g - 5 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4270.1 rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -255*y**3 + 502*y**3 + 49*y**4 + 1 - 249*y**3 + y**2 in the form n*y**2 + q + l*y**4 + a*y**3 + b*y and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 34669561 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.2 - 0.2. What is the nearest to w in -0.2, -4\/3, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3839900340?\nAnswer: 2, 3, 5, 593, 107923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 823, 894, 969, 1048, 1131?\n\"Answer: 2*l**2 + 65*l + 756","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3270 or -3266?\nAnswer: -3270","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and (2\/18*3)\/((-1)\/(-6)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -391892.9663\nAnswer: 391893.9663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 64 - 25. Let k be q\/(-9) - 6\/9. Let d = 1\/26 - -5\/39. Which is the nearest to 1? (a) k (b) 2 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 384 a factor of 535794048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2562 + -163412?\nAnswer: -160520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17, 100, 255, 494, 829, 1272?\nAnswer: 1835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 10 = -5*w + 39, -3*x + 8 = -2*w. Let l = 3 + x. What is the lowest common multiple of 3 and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of -g**7\/840 + 5*g**5\/6 + g**2 + 15. Let t(x) be the third derivative of m(x). Let o(s) = 0*s + 2*s - s. Determine o(t(d)).\nAnswer: -6*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 89531106 + -89531110.9402361. Let l = 0.0590939 - p. Let m = 5 - l. What is m rounded to 4 dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6406*v**3*x - 1807*v**3 wrt x?\nAnswer: 6406*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3023600 and 1600.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -100795 by -10.\nAnswer: 20159\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4758018601?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 21211972?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 772365 (base 11) to base 13\nAnswer: 342267","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*h + h**3 - 22*h + 15*h.\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 1. Let z(q) = 0*q - 3 - 6 - 4*q. Let n(s) = -4*j(s) - z(s). Let l be (2\/1)\/((-125)\/100*48\/150). Give n(l).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 449157199 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 0*r - 6 = -3*l, -l - 5*r = -19. Suppose 0 = -o + 5*t - 15, l*o + 4*t - 30 = 6*t. Suppose -j + o = j. Solve -10 = -j*d - 0*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 24 = 3*b, 0 = 60*a - 61*a + 4*b + 17 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*x**2 + 12*x**2 + 5*x**4)*(5*x + x - 4*x) - 10*x**5 + 34*x**5 + 14*x**5.\nAnswer: 48*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 10 + 265a8633?\nAnswer: 265a8643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 8 = 120. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 2*u**2 - 4*u - 14. Let c be z(-2). Solve d + 6 = 3*r, -2 - 2 = -c*r - d for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 5*z**2 - 204*z + 253. Determine x(39).\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1752*w**4 - 2*w**2 - 48*w - 1821 + 48*w - 602 wrt w.\nAnswer: 7008*w**3 - 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1533588 - -724721. Let k = d - -808934.0114. Let c = -67 + k. What is c rounded to three decimal places?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(20) - (sqrt(20) - (sqrt(180) + sqrt(20) + sqrt(20))*6) - sqrt(20))*-3)\/((-1*(sqrt(192)\/sqrt(4) + sqrt(48)))\/sqrt(12)).\nAnswer: 87*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h - 1. Let o(x) = -14*x + 22. Suppose 7*p - p = -12. Let j(s) = p*o(s) - 22*t(s). Calculate the smallest common multiple of j(6) and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -29*y + 0 - 56*y**2 - 30*y + 83*y - 2 - 26*y wrt y?\nAnswer: -112","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8372 and 21528?\nAnswer: 150696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 40 = m. Let b = m + -3. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/234 and -97\/52?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -25113.7656 to the nearest integer.\nAnswer: -25114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (93\/3)\/((-7)\/(28\/(-2))). Let z(h) = -h**2 - 9*h. Let l be z(-5). Let q = u + l. What is the tens digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from jjkjkjkjjjkjkjjj?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 196\/4 + 21216\/(-663)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -c**2*r**3 + c**2*r + 1828*c**2 - 47*c*r**3 - 2573*c*r**2 + 11*c*r + 2*c + 28*r wrt r?\nAnswer: -6*c**2*r - 282*c*r - 5146*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2614455?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -3*w - 6*k + 4*k, -3*w + 5*k = 16. Solve -w*x + r = -7, 35*x - 33*x - 3*r = -7 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -308 + 102 + 101 - 4723*u**2 + 105 to the form b*u + f + i*u**2 and give i.\nAnswer: -4723","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -225748*w. Let k(u) = 959*u**2. Calculate m(k(v)).\nAnswer: -216492332*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 280416.3 to the nearest 100.\nAnswer: 280400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of 0 + 1\/3*j**4 - j**2 - 4*j + 1\/20*j**5 + 0*j**3. Calculate f(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8036 + -7988. Let v(h) = h**3 + 4*h**2 - 5*h + 6. Let b be v(-5). What is the greatest common divisor of j and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14 + 26. Let f be (-9)\/72 - 10370\/(-16). Let n be f\/189 + 3\/(-7). Calculate the greatest common divisor of d and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2*v**2 - 2*v - 5. Let j be b(3). Suppose 0 = -a + j + 2. Let g(f) = 5*f - 13. Let t be g(a). Calculate the greatest common factor of 4 and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 4*s + 101 - 25 = 0, 0 = 2*s - 4. Let c be ((-2)\/j*12)\/(2\/(-140)). Calculate the highest common divisor of c and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 4*o - 3*o - 7, 3*o + 9 = -3*h. Let p = o + 3. Let w(x) = -1 - 4 + p + x. Let v(k) = 4*k. Determine v(w(t)).\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -208 - -231. Let z be 3\/(2*(-6)\/(-32)). Suppose -l + 2*g = -18, -z*g + 12 = 4*l - 4*g. What is the remainder when u is divided by l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b + 18. What is the remainder when (2 - 34)*4\/(-2) is divided by y(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1107019 less than or equal to 1107019?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5063564771 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 4 = -6*s, -5*s + 0*s + 49*t - 160 = -0*s + 14*t for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15384, -15447, -15510?\nAnswer: -15573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2\/11 + 1712*d\/11 + 366368\/11.\nAnswer: 2*(d + 428)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44189631.\nAnswer: 3, 545551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -98*y + 102*y - 116. What is the remainder when y is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -86 - -121. Let r(z) = 853 - 2*z + 4*z - 845. What is the remainder when b is divided by r(2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 637183746 from -15.\nAnswer: -637183761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -66 divided by 1\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/((-21)\/(-14)*-4).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3287219?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 35, -1, 0.8?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7658197*g**6 - 3*g**3 - 3200814*g**2 + 3*g?\nAnswer: 918983640*g**3 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 PM and 10:43 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2126*i**2*n - 2165*n wrt i.\nAnswer: 4252*i*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 - (-2 + 2))*(-2 - 6). Suppose 25*m - 109 - v = 0. Solve 3*c - 12 = -5*b, -3*b + 4 = m*c - 4*c for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.08 in -1, 0, 6, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (14\/21)\/(35\/42)*(-5)\/(-38)\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 2\/391 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 23923944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2371153.23us in days?\nAnswer: 0.000027443903125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4496 - 89909\/20. Let w(o) be the first derivative of -1\/4*o**2 + 5\/4*o**4 + 7\/12*o**3 + 0*o - 16 + m*o**5. Factor w(r).\nAnswer: r*(r + 1)**2*(11*r - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 87, 63, -23, -201, -501, -953, -1587, -2433?\n\"Answer: -5*b**3 - b**2 + 14*b + 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -154 or -0.3?\nAnswer: -154","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 AM and 7:44 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 + (-108)\/30 + 9)\/((-2)\/(-30)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 8) to base 12\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 11*b - 1 = 12*b, -2*p = -6*b - 22. Let v(s) = -s**3 - 2*s**2 + 13*s. Let l(u) = u**2 - u. What is p*l(j) + v(j)?\nAnswer: -j**3 + 11*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4904689453 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1)\/3)\/((-5)\/45). Suppose -56 = -f - b*f. What is the remainder when 40 is divided by (f\/(-4))\/((-1)\/4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*m = 25*m - 440. Suppose 2*b + x + 52 = 7, 4*b = -4*x - m. What is the third smallest value in b, -0.4, 4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32220 (base 6) to base 7.\nAnswer: -15561","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-38)\/(-7) + 3\/(-7). Suppose 36 = -3*k + j, -5*j + 20 = v. Let l(x) = -x - 5. Let t be l(k). What is the greatest common divisor of 78 and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2008000 rounded to the nearest one hundred thousand?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 - (-3259396)\/(-128)) + -7. Let g = a - -25472. Calculate the common denominator of -81\/2 and g.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.0452 in -2\/9, -0.88, -1\/140, 10?\nAnswer: -1\/140","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 7:37 AM?\nAnswer: 2:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 152*p - 67*p + 85 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3536, 14078, 31640, 56216, 87800?\n\"Answer: -b**3 + 3516*b**2 + b + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -4 + 1 - 13*z + 3*z. Suppose 3*c + 10 = 1. Is a(c) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llrrlrrurrurrrrrrrrr. What is prob of picking 1 r and 1 l?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 x when two letters picked without replacement from {v: 1, x: 8, t: 2, a: 9}.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -115*d**3 + 180*d**2 - 1 wrt d.\nAnswer: -690","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxnxxnxxxnxxnxxxxxxx. What is prob of sequence xnn?\nAnswer: 8\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-1) - (((-341)\/22)\/(-31) - (-1366)\/144).\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00942401784 to 5 decimal places.\nAnswer: 0.00942","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 50 and 24125.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.08 + -0.14. Let y = i + 0.15. Let u = y - -0.31. Which is the nearest to 2\/7? (a) 2\/13 (b) -4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a litre in millilitres?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.12 + -4.24.\nAnswer: -8.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1272652\/3973 or 319?\nAnswer: 319","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -91*x**3 + 45*x**3 - 3*x**2 + 4 + 47*x**3.\nAnswer: (x - 2)**2*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 7:11 AM?\nAnswer: 5:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -10*g. Let y(p) be the second derivative of -p**3\/6 + 12*p. Determine 4*j(m) - 36*y(m).\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*k**3*v*w**3 - 15*k**3*w**3 - 17*k**3 + 332*k**2*w - 2*k*v*w**3 + 70*k*v*w wrt k?\nAnswer: -42*v*w**3 - 90*w**3 - 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, i: 3, l: 1, d: 2, t: 10, q: 1}. Give prob of sequence ddp.\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -50*d**4 + 45*d**2 + 37931 wrt d.\nAnswer: -200*d**3 + 90*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 440\/120*(2 - 2 - 8496). Round n to the nearest 100.\nAnswer: -31200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**3 + 48*l**2 - 88*l.\nAnswer: -2*l*(l - 22)*(l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1284*j**2\/7 + 13611*j\/7 + 29277\/7.\nAnswer: 3*(j + 3)*(428*j + 3253)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 79, -3\/4, 1, 0.3, -12?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 7988*c**2 - 36*c - 10212. Let f(u) = -7*u**2 + 2*u. Let o(a) = -18*f(a) - w(a). What is the derivative of o(x) wrt x?\nAnswer: -15724*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times 375?\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.5 - -1.5. Let a = 385.6 - 384. What is the fourth smallest value in j, 3, a, -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 1547213283?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32 is divided by 22.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - (15 + -9 + 6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - (5 - (-6 + 11))) + 5.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1533804 by 112.\nAnswer: -383451\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 2 t, and 1 d when four letters picked without replacement from trrtmhdrrruutuuuu?\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 5*f + f - 4*f. Let z(k) = 0*k + 0*k + k. Give z(i(w)).\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18409 + -13216. Calculate the remainder when w is divided by 65.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1666 - -1698. Calculate the remainder when 1279 is divided by n.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (5*(-10)\/(-2775))\/(-3 - 9). Let b = 833\/333 + t. Sort b, -0.5, -1, 0.3.\nAnswer: -1, -0.5, 0.3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -207111 or -207112?\nAnswer: -207112","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 42*z. What is the units digit of l(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27946086?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 15, 162, -0.08 in decreasing order.\nAnswer: 162, 15, -0.08, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2145252.00003 - -2145238. Let f = 29 + -15. Let w = f + y. Round w to 6 dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-22)*304\/152*2\/(12\/27).\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 + 25\/(-10))*(14 + -2). Let m(t) = t**2 + 10*t + 67. Is m(v) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*h**2 - 8*h**2 + 3*h**2 + h - 2984982 + 2*h**2.\nAnswer: h**2 + h - 2984982","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*d = 15*d - 8 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -139*k**3 + 143*k**3 + 861*k**2 - 861*k**2.\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/5 != -33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-46368)\/(-1320))\/92*2\/7)\/((-2)\/5).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of -m**6\/120 + m**5\/20 - 5*m**4\/24 + m**3\/2 - 2*m**2 - 7. Give o(3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02764624 rounded to 2 dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 10 (b) -1.31 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26 and 143?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -240 by -30.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1\/18 + 25\/18. Let q(d) be the third derivative of -1\/60*d**5 + 0*d**4 + w*d**3 + 0*d + 0 + 5*d**2. Differentiate q(b) wrt b.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1160 + -356. Is o a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 13\/8 of a kilometer?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.273 + 0.373. Is 2\/813 greater than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15973236?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (0 - -4) + (-10 - (-30 + 43))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -2*c**2. Let a(j) = -698*j**2. Determine x(a(h)).\nAnswer: -974408*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-35)\/w*(w\/(w\/w**(38\/7)))\/w)\/(w**(1\/25)*w*w)**12)**(-42) assuming w is positive.\nAnswer: w**(58854\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 AM and 6:18 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7583 + -7690.1. What is o rounded to zero dps?\nAnswer: -107","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -57 - -57. Suppose -c + 0*c + 2 = 0. Let m = 5 - c. Solve -3*y + 12 = m*d + 2*d, l = 2*d + 4*y - 16 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21782681 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a + 166?\nAnswer: 15a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 64111*u + 193237. What is s(-3)?\nAnswer: 904","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of -1\/6*g**4 + 0*g**6 + 0*g**3 - 2*g**2 + 0*g**7 + 0 + 0*g**5 - 1\/336*g**8 + 0*g. Find the second derivative of h(j) wrt j.\nAnswer: -20*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23854 to the power of 1\/4, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(-15) - (-22)\/10. Suppose -l*n - 2*x + 94 = 0, n - 57 = -4*x - 10. Suppose 22*h = 19*h + 36. Calculate the remainder when n is divided by h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/2*(-363)\/(-1). Calculate the greatest common divisor of 33 and i.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 4*u - 5. Let q be n(2). Suppose 144 = q*s - b, -s + 17 = b - 31. Calculate the greatest common divisor of 120 and s.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 239 + -239.1. Which is the nearest to f? (a) 3\/8 (b) -0.5 (c) 2 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 722645 (base 10) to base 3.\nAnswer: 1100201021122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = 4*r + r. Let y be (-6)\/(-63)*r\/8. What is the closest to -0.1 in y, -5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**2 + 70*u - 183.\nAnswer: -(u - 3)*(3*u - 61)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*t**2 + 1 + t**2 + 0 - 8*t**2 in the form u*t**2 + h + y*t and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -116*g**3 - 541*g**3 + 58*g**3.\nAnswer: -599*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 4*z + 2. Let j be i(4). Find the second derivative of 5*d + 2*d**4 + 7 - j + 11 wrt d.\nAnswer: 24*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, -3, 256, 1 in increasing order.\nAnswer: -3, 1, 4, 5, 256","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2072628 is divided by 2072015.\nAnswer: 613","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(204)\/(-1*sqrt(12)) + 1 + sqrt(425) + 4)**2.\nAnswer: 30*sqrt(17) + 178","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -58 + 5 - (9 - (-11 + (-7 - -20)))\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3800 and 1225.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7 - -7f2?\nAnswer: 7f9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 148376?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 1285\nAnswer: 1\/1285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 - -14. Suppose 3*u + 6 = 5*i, 2*i - o*i - 9 = -5*u. Suppose -1 = 4*l - i*l, -l = 3*m - 29. Calculate the lowest common multiple of m and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 3249*s**5 + 61503*s**4 + 200359*s**3 + 131917*s**2 - 10008*s + 180 = 0?\nAnswer: -15, -3, -1, 2\/57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.04 - -2.54. Let i = 0.3 - a. What is i rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**4 - 3*u**4 - u**4)*(1 - 3 - 1)*(5 - 5 + 20)*(2 - 2 - 2).\nAnswer: -600*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(180))\/(5*-1*sqrt(10))*3 + -4)**2.\nAnswer: -288*sqrt(2)\/5 + 2992\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -1) + 0 + -1 - 5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 14*r + 37. Give j(-6).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1659 by 1.\nAnswer: -1659","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - 2)\/((-2)\/(-16)). Calculate the common denominator of (-4)\/(-9) + ((-172384)\/2304 - -62) and 1 - (70\/f + 1).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29, 54, 14 in decreasing order.\nAnswer: 54, 29, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(162) + 0 + 5 + -2 + -2 + 5*-4*sqrt(162))*-4)**2.\nAnswer: -196992*sqrt(2) + 33686208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.027 in -3, 0.07, 5?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -457.005 + 456. Let q = -0.005 - p. What is the third biggest value in 1\/2, -2, 0, q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(3\/7)\/((c**(-2\/13)\/c*c)\/c)*c**(1\/6)\/((c*c\/c**(-9))\/c) assuming c is positive.\nAnswer: c**(-4505\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*i + 1. Suppose -2*w + 9 = -i*w. Let y be (-13)\/(-3) + (-6)\/w. Solve -2*x = y + 1 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 403 is divided by 18?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 12, -5*q + 6*y + 35 = y. Suppose -2*x + c = -2*c + q, -5*x - 5*c = -40. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 15900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 - 20*a**2 + 22*a + 24. Let y be s(-21). Let j(k) = -k**y - 6*k - 6*k**2 + 4 - 14 + 0*k + 7. Determine j(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16 + -5. Let z = 146 + -106. Let a = z - 38. Sort a, -1, p, 4.\nAnswer: -1, a, 4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 1.7?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.2 + 1. Let x be 5\/10 - 336\/10. Let d = x - -67\/2. Which is the closest to s? (a) d (b) 0.2 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2501*f**2 + 4*f. Suppose -3*t + 3*y = 30, y + 53 - 7 = -3*t. Let a = t + 10. Let l be p(a). What is l rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7\/21 + 1\/2. Let g = -14615 - -14615.1. What is the closest to l in -2, g, -5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -207*x + 13*x + 300 + 476 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-3))\/((-12)\/(-19008)*96).\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-42))\/((-92)\/161)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 76874?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z - 41 + 14 = 0. Suppose 39*i - z = 38*i. Factor -2\/7*n**i - 8\/7*n + 0 + 8\/7*n**2.\nAnswer: -2*n*(n - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43445613 is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 129170610 to the nearest integer?\nAnswer: 506","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p. Let d(k) = 11*k - 5. Let g(o) = -b(o) - d(o). Let s = -16 - -11. Let w be g(s). What is the highest common factor of 11 and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 32884142?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 55246 (base 11) to base 6\nAnswer: 1415024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1494315 to the power of 1\/2, to the nearest integer?\nAnswer: 1222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 4*k = -4, 2*k + 0 = -l + 4. Factor -4*m**3 + 12*m - l*m**4 - 4*m**2 - 5*m**3 - 4*m**3 + 8 + m**3.\nAnswer: -4*(m - 1)*(m + 1)**2*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*n**3 - 2*n**3 - 4*n**3 - 4*n**3.\nAnswer: 11*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z*(z*z\/(z*(z\/(z*z*z**(-24)\/z))\/z))\/z*z*z))\/(z**2*z))\/(z**9*z*z*((z\/(z**14*z))\/z)\/z) assuming z is positive.\nAnswer: z**23","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -13*w - 249. Let g(x) = -38*x - 746. Let k(f) = -11*c(f) + 4*g(f). Let i be k(-27). Let d = 2\/265 - -791\/530. Sort d, i, -5 in decreasing order.\nAnswer: d, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12.207 or -2382?\nAnswer: -2382","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -222*j = -226*j + 296. Let r be (-78)\/(-4) - (-5)\/(-10). Suppose 4*k - r = 3*k. Calculate the remainder when j is divided by k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r = 3*q - 6, -2*q - r + 1 = -12 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -229, -4\/17, 0.1?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15\/2*1560\/90 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -353759811367203 + 1\nAnswer: -353759811367202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-8) + 3 + 13\/(-4). Suppose a*y - 3*y = -1281. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-13)\/(-2))\/(124\/(-23560)*-19)?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of -1\/12*r**3 + 157 - 13\/8*r**2 + 12*r. Find n such that w(n) = 0.\nAnswer: -16, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x. Let b be (52\/(-2))\/((-10)\/5). Let u be k(b). What is the remainder when 18 is divided by -2 + (-3 + 3 - u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 117420548 to the nearest integer?\nAnswer: 10836","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -117, -462, -1039, -1848, -2889, -4162, -5667?\n\"Answer: -116*w**2 + 3*w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3421 - 3420.6. Sort v, 1\/2, -1, -1\/15, 12 in decreasing order.\nAnswer: 12, 1\/2, v, -1\/15, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1640971*h**2 + 17*h + 51142 wrt h.\nAnswer: 3281942","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.9440524 - 56700.\nAnswer: -56697.0559476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 10629316, 10629308, 10629300, 10629292, 10629284?\n\"Answer: -8*d + 10629324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15 - -20. Suppose -2*c + 3*c - x*b = 1527, 2*c = b + 3090. Let f be 425\/c - 4\/(-26). What is the nearest to 0.1 in -3, -4\/5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 4*g**3\/7 + 1816*g**2\/7 + 178560*g\/7 = 0.\nAnswer: -310, -144, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by 26.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/20 and 83\/2332.\nAnswer: 11660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3350 is divided by 87.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 390*v**2. Let i(h) = -3*h. Let y(f) = -f. Let x(m) = 2*i(m) - 7*y(m). What is x(c(b))?\nAnswer: 390*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 2\/79 (b) 141 (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 1818?\nAnswer: 1818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n + 5. Let f be u(-8). Let c be (19 - 1)*((-1)\/f)\/1. Let a(r) = 2*r**3 - 4*r**2 + 7*r + 9. Is a(c) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 567\/29 + -280043\/14384. Calculate the common denominator of 15\/64 and y.\nAnswer: 1984","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 2*w**2 - w - 3. Let p(n) = -n**2 + n + 2. Let k(y) = 2 - 4 + 5*y + 4 - 5. Let x be k(3). Suppose 5*g - g + x = 0. Give g*j(m) - 4*p(m).\nAnswer: -2*m**2 - m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21491755 = -259*t + 19704526. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 444567 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.3 (b) 2\/5 (c) 2 (d) 1729.8 (e) -2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9290\/2751 + -53\/786. Find the common denominator of (-4749)\/2730 - (-2)\/13 and g.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 684733 and 1288.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 71 - 69. Find the second derivative of 63*p + p**3 - 37*p**2 + 48*p**z + 14*p wrt p.\nAnswer: 6*p + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -197*n. Let c(m) = -336*m. Calculate c(h(y)).\nAnswer: 66192*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 10918*x + 10928. Determine q(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*o - 7 + 7 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 674072 to the power of 1\/3, to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17 - -15. Let v be -3 + (q - -2) + 3 + 2. Suppose 8*f = v*f + 558. What are the prime factors of f?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 98 divided by -51941.\nAnswer: -98\/51941","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 64113?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5 and 63?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -68*-1\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(252))\/sqrt(9))\/sqrt(4) + 1 + 5.\nAnswer: -5*sqrt(7) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - m = 0, 4*m = 3*c. Suppose -r - r - 2 = c. Let b(h) = h**2 + 6*h + 4. Let l be b(-5). Are r and l equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(1\/7)\/l*(l*l\/l**(-1\/3)*l)\/l*(l*l**(-1)\/l)**20 assuming l is positive.\nAnswer: l**(-389\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16119 and 171.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -52 and 0.6550765.\nAnswer: -51.3449235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.1707 + 2.8293. Sort 1\/8, 0.162, 5, c in ascending order.\nAnswer: 1\/8, 0.162, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, q: 4, a: 2, e: 2}. Give prob of sequence cca.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 388*c**2 + 7*c + 24. Let v(z) = 195*z**2 + 3*z + 12. Let g(b) = -3*p(b) + 7*v(b). Find the first derivative of g(o) wrt o.\nAnswer: 402*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/12)\/((-35)\/28)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9690704, -9690705, -9690706, -9690707, -9690708?\nAnswer: -9690709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 2*y + 2. Let c be (y - -7 - 3)\/(-7). Is 0 <= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 66.565 + -65. Let c = 1.565000691 - n. What is c rounded to 7 dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19247.395 times -0.01\nAnswer: 192.47395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 265010?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t**(-8))\/t**(-3))\/(t**7*t*t**(-1\/8)*t*t*t*t*t))\/(t\/(t**(-7)\/t)*t**12)**25 assuming t is positive.\nAnswer: t**(-4335\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 5, -1, 51, 0 in descending order.\nAnswer: 51, 5, 0, -1, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2 - 500*p - 31250.\nAnswer: -2*(p + 125)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -0.2, -5, 87\/8?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 90374, 181155, 271932, 362705?\n\"Answer: -2*q**2 + 90787*q - 411","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 149.37139, -0.2, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 92 - 54. Let x = m + -66. Let o be x\/(-6) - -1 - (-18)\/(-27). Solve 8 + 7 = -o*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.08, -4\/23167, -2, 2 in increasing order.\nAnswer: -2, -0.08, -4\/23167, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*h - 2*h = 44 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 309? (a) -0.15 (b) 4 (c) 10\/1679\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -38\/3661819 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -5360774 (base 11) in base 5?\nAnswer: -4403222412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -e6 + -24d9c?\nAnswer: -24e82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-12))**(-42))**(-2\/65) assuming n is positive.\nAnswer: n**(-924\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -10, 1, 3, -2081 in decreasing order.\nAnswer: 4, 3, 1, -10, -2081","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i + 15*i**2 + 7*i**4 - i - 6*i**4 - 7*i**3 - 7*i + 4.\nAnswer: (i - 4)*(i - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 2*z = 0, -3*z + 108 = 2*o. What is the greatest common factor of 81 and o?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 185 divided by 142.\nAnswer: 185\/142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 174817, 347929, 521041?\nAnswer: 694153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 + 3*x**2 + 2. Let u be n(0). Let f be 7\/(-14) - u\/(-12). Which is the third smallest value? (a) -11 (b) 0.1 (c) 0.2 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/210*(-139140)\/(-7730).\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -46*t - 4727 - 507 - 3322. Put t, -1, -6 in decreasing order.\nAnswer: -1, -6, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from oooofoooffooooofoo.\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108)*3 + (sqrt(300) - (4 + sqrt(300) + 5)))**2.\nAnswer: -324*sqrt(3) + 1053","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -44 + -21?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ixd when three letters picked without replacement from {d: 2, x: 3, i: 13}.\nAnswer: 13\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7906a9 - 51?\nAnswer: 790658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of -c**4\/20 - c - 1. Let w(d) be the first derivative of g(d). Determine x, given that w(x) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/(j\/j**5))*j*(j\/j**(-1\/7))\/j)\/(j**(2\/7)*j)**(-9\/2))\/((((j\/(j\/(j*j**(-1\/5))))\/j)\/j)\/(j*j*j\/j**(-5)*j))**(-45) assuming j is positive.\nAnswer: j**(-6385\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 3*d - 18 = -j, 0 = j + 4*d + 3. Suppose j + 1 = n. List the prime factors of n.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10\/11? (a) 0.08 (b) -2 (c) -1\/2 (d) 0 (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 7\/3 of a week?\nAnswer: 392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -86, -148, -200, -242?\n\"Answer: 5*n**2 - 77*n - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -19*h**3 + 16*h**2 - 3\/2*h**5 - 23\/2*h**4 + 16*h + 0 = 0.\nAnswer: -4, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 575 a factor of 6874727?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4129.3 and 1.42.\nAnswer: 5863.606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (-2)\/(-10)) + 22 + (-21 - -3)\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 558\/27 - 1\/(-3). Let q be 21\/27*6\/h. Which is the nearest to -1? (a) -4 (b) 1\/6 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (50\/40)\/(5\/20)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3161 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l + k - 3177 = 0, 2*l = 4*k - 36 - 868. Which is greater: l or -466?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, u: 3, y: 9, q: 1, c: 2, p: 1}. What is prob of sequence uyq?\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, w: 6, g: 2, z: 1, u: 3}. What is prob of picking 1 c, 1 g, and 1 u?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 0 + -2*sqrt(2352)*-2 + -1.\nAnswer: -3 + 112*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 3*b**2 - 9*b + 7. Let z(d) = 2*d**2 - 5*d + 4. Let c(t) = -4*h(t) + 7*z(t). List the prime factors of c(3).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 704907 divided by -10\nAnswer: -704907\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -m + 2*r + 10, 5*r + 1 = 4*m. Let l = 8 - 10. Let p(x) = x**3 - 2*x**2 - 4*x + 3. Let g be p(3). Sort m, l, g.\nAnswer: l, g, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -2*u - 12. Let b be l(-7). Which is greater: 4 or b?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -350 = -3*g - 4*y, 560 = 10*g - 5*g - 5*y. Is g a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - 1. Let l(z) = z + 5. What are the prime factors of l(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2 - 70*d + 714. Let t be x(9). Solve t*a - 2*a = 4 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 69 and 108330?\nAnswer: 108330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -23*y**3 - 2*y**2 + 2*y - 1. Let z(b) = b**3 + 13*b**2 - 13*b + 15. Let q be z(-14). Let m be d(q). Is (-448)\/m*(-9)\/(-6) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 21131.82 - 126.\nAnswer: 21005.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 410.2 + -410. Let o = -0.3 - 0.2. What is the third biggest value in o, 3\/4, k?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3013 = 5*k - 5167. What is the thousands digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1404 + 1414. Solve -w*m = -0*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1844 + 1844. What is the nearest to j in -1\/3, 2, 0.0059?\nAnswer: 0.0059","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22.3 + 21.5. What is the closest to -1 in 1\/4, m, -0.3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 5 = -10 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/14 and (45\/(-35) - -1)*18\/8?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 4*n + 5*y - 244 = 0, 2*y + 85 = -n. Let q = -25 - n. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -2*v**2 + 14*v + 5. Let w be g(10). Let p = w + 98. What is the remainder when p is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/16 (b) -5 (c) -43 (d) 1 (e) 55\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 1416*l - 16785. Calculate i(12).\nAnswer: 207","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand j - 8*j**4 - 9*j**4 + 0*j**4 + j**4 - 6*j**4 + 3*j**4 + (-2 + 1 + 0)*(4*j**4 - 4*j**4 + 2*j**4).\nAnswer: -21*j**4 + j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 61 - 58. What is the lowest common multiple of k and 418?\nAnswer: 1254","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 - 8*i + 10. Let r be o(9). Suppose r*h = 14*h + 10. Let y be 1\/6*(-54)\/(-8). Is h at most as big as y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express h**2 + 12*h**4 + h**3 - 15*h**4 - 2 + 0*h**2 as i*h**2 + r*h + q*h**3 + w + k*h**4 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*j + 13*j**3 - 27 + 111*j**2 + 115*j**2 - 224*j**2 + 0*j in the form u*j**2 + h*j + f + i*j**3 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 + -5.3. Let j = z + 0.4. Which is the nearest to -0.3? (a) -3 (b) j (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 25366 = -2*t, -62508 = 5*t - 5*g + 957. Are -12688 and t nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1561690 and 205738.\nAnswer: 1066","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 5 (b) 0.4 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 - 2)*(-1 + 1 - 18*j) + 0*j - j + 2*j + 5*j + 2*j - 16*j + (1 + 1 - 3)*(4*j - 5*j + 3*j).\nAnswer: 80*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 95521101?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 230 divide 3329467?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 7:49 AM?\nAnswer: 2:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 38 + -37. Let u = 4\/3 - r. Let -1\/6*g**4 + u*g + 1\/6*g**5 - 1\/2*g**3 + 0 + 1\/6*g**2 = 0. Calculate g.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*-42*8\/28 - 15\/(-3).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(1*3\/(-3)). Let w = 1 + u. Let l be w*6\/(-4) + -1. Solve -l*s - 24 = 4*n, 3*s - n = -s - 12 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -101 divided by 101.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 115795?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 12749 + 0.046?\nAnswer: 12749.046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3145 + 5*a**2 + 1303*a**3 - 20*a**2 - 687 - 1304*a**3 + 12*a**2 to j*a**2 + r*a**3 + v + g*a and give v.\nAnswer: -3832","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 8, -5*i + 3*i + 2*f = 10. Let w(r) be the third derivative of -r**4\/24 + 3*r**3\/2 + 11*r**2. Let a be w(5). Put a, 1, i in descending order.\nAnswer: a, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 AM and 1:41 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + 6 - -1) + 232\/58\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -6*q**3 - q**2. What is n(-2)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*c*t**3 - 102*c*t**2 + 5*t**3 + 41*t**2 wrt c.\nAnswer: -2*t**3 - 102*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -71, -75, -79, -83, -87?\n\"Answer: -4*u - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 720594304 divided by -6878.\nAnswer: -104768","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-4\/3)*d*d\/(d**6*d)*d*d)**(-42)\/((d\/(d**0*d)*d)**(-33\/2)*d*d**(-2\/3)*d**(-3)) assuming d is positive.\nAnswer: d**(955\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**2 + 15*a - 14. Suppose 0 = 11*h - 93 - 61. Let m be q(h). Solve -3*j - 3 = m, -j - 26 = 4*x - 9*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + 1. Let n = -527989 - -527989. Which is the closest to n? (a) z (b) 91 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 71768.5 centuries?\nAnswer: 7176.85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 873602096?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -520475 = -21*k - 4*k. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2903998 to the power of 1\/3, to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -89 - -85. What is the least common multiple of 82 and b*-2*(-22)\/(-8)?\nAnswer: 902","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 38 = 2*b, 0*b - 5*y - 20 = -5*b. Suppose 0 = -13*f + b*f - 4. Put -7, f, -4 in increasing order.\nAnswer: -7, -4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 56 - 30 = 0. Suppose -k = -5*b - 3. Calculate the lowest common multiple of 7 and b.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4277?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25516*d**2 - 285*d**2 - 111875*d**2 - 109173*d**2.\nAnswer: -195817*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 = -6*t + 25. Let x(b) = -b**3 + 15*b**2 + 4*b + 34. List the prime factors of x(t).\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 134 - 86. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 9*g**3 + 9*g**2 + 2*g - 2. Let w(n) = -62*n**3 - 63*n**2 - 15*n + 15. Calculate -30*h(f) - 4*w(f).\nAnswer: -22*f**3 - 18*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.1 (b) -0.13 (c) -2\/11 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 103 - 110. Let b(a) = -a**2 - 5*a + 10. Let t be b(c). Let o(x) = 2*x + 5. Give o(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3.8 (b) 0.4 (c) -0.1 (d) -4 (e) -12012 (f) -3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1155 - -1160. What is the remainder when 1123 is divided by x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + (-5 - (-7 + 21 + -10 - 8)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -8 + 34. Suppose -5*c + h = 8. Put -8, c, -4 in descending order.\nAnswer: c, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-55)\/(-165)*3*4\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + -422115?\nAnswer: -422110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 7:02 AM?\nAnswer: 8:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 9 = -8*n. Let o(l) = 1 + 4 - 2*l**3 - 2*l**2 - 3*l - 7 - l**3. Let k be o(n). What is the highest common divisor of 10 and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 1\/5 (b) -5 (c) 2\/9 (d) -2 (e) -3\/2 (f) -123 (g) -101\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132)\/(sqrt(84)\/sqrt(7)) - ((sqrt(121)*2)\/sqrt(11) - sqrt(11)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(-7) - (-3293)\/(-7). Is ((-25)\/(-50))\/((-1)\/x) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/1440 and 79\/21834.\nAnswer: 1746720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 885680?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -177, -337, -497?\n\"Answer: -160*i - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 4, -5, 908852 in ascending order.\nAnswer: -5, 4, 13, 908852","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 5*q**4 - 72250*q**3 + 14936965*q**2 - 785018000*q + 770153280 = 0.\nAnswer: 1, 104, 14241","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 - 4*r**2 + 2*r - 9. Calculate the remainder when 34 is divided by h(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3 + 1122*s**2 + 209814*s + 13078406.\nAnswer: 2*(s + 187)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -71 - -1493\/21. What is the nearest to 0 in -2\/7, f, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhh. What is prob of picking 4 h?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 299454864*j**5 + 3*j**2 + 76138760*j wrt j?\nAnswer: 17967291840*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.08 - 2.92. Let s = 143\/3 - 47. Which is greater: w or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -203108, -405754, -608400, -811046?\nAnswer: -1013692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + -52. Which is smaller: -53 or j?\nAnswer: -53","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + -4443?\nAnswer: -4442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 478 a factor of 4040497?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 + -3. Let m = v + 2. Let b be (-66)\/m*(4998 - -2). Round b to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:28 AM and 8:13 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 7063623 and -0.413?\nAnswer: 7063623.413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 - 7.3. Which is the biggest value? (a) t (b) -1 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 - 85*b**2 + 342*b - 93. Calculate the remainder when a(-89) is divided by 229.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -2*z + 7. Let w(k) = 2*k - 8. Calculate 5*p(s) + 4*w(s).\nAnswer: -2*s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 2*r**3 - 47*r**2 - 103*r + 1900. Give h(24).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 1\/2181613?\nAnswer: 1\/2181613","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2006 - -0.05.\nAnswer: -0.1506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4878.505 millilitres in litres?\nAnswer: 4.878505","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -152.3901906 + -0.6.\nAnswer: -152.9901906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11288?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.38 - -100.62. What is the third smallest value in k, -5, -1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 151 - -1537044?\nAnswer: 1537215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - -9 - 4)*2\/4. Suppose 28 = 4*h + k*h. Solve 0 = m - h*g, -m + g = -0*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7664 divide 1073047676?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104*z - 25*z + 668 = 38*z. Solve -4*k + 4*f + 8 = 0, -3*f = -z*k - 47 + 54 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w + 7. Suppose 4 = 2*o + 2*o. Let i(k) = -1. Let v(q) = o*d(q) + 5*i(q). Let t be v(-6). Which is the nearest to -1? (a) 5 (b) t (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -4*u**2 - 4*u + 8. Suppose 6 = 3*p + 15. Let y(r) = 7*r**2 + 8*r - 15. Let d(k) = p*y(k) - 5*f(k). Let g be d(-5). Solve g*a = -2*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + 2*u - u**2 + 3*u**2)*((2*u - 4 + 4)*(-u - u + u) + 8*u**2 + 5*u**2 - 2*u**2).\nAnswer: 18*u**4 + 9*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 6 = -5*s. Let n = 60 + -116. Is n\/(-6) + 1\/s a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-7)\/s)**(3\/5)*s*s**(-7)*s*s**(-10))**13 assuming s is positive.\nAnswer: s**(-1287\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (8912\/(-816) - -11)\/((-2)\/3)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + 0 - (-3)\/27)\/1.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -179 = 20*k - 3*x, -12*k = 5*k - 0*k + 4*x - 3*x + 3*x - 64 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -999 + 1007.86. Let g = -3.86 + z. Which is the smallest value? (a) 3 (b) -2 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4 + (4 - 3) - -30. Let r = w + -19. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -25? (a) -2\/37 (b) -0.3 (c) -16 (d) 15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -125*b - b**4 + b**4 + 97*b + 62*b**5 + 2 wrt b?\nAnswer: 1240*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 3*b - 9 = 4*n, n + 5*b = -15. Let t be (-12 - (n - 1))*(-11 + 1). Let f = t - 92. What is the highest common divisor of f and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 152\/(-120) + (18 - (-490)\/(-30)) + -5.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 164106603?\nAnswer: 3, 53, 344039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -20206.92 to the nearest one hundred.\nAnswer: -20200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 33986603 to the power of 1\/2, to the nearest integer?\nAnswer: 5830","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 - 7. Let y = h + 25. Let u = 58 - 56. Solve -2*l + 27 = -5*g, -2*l = -u*g + g - y for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 436 (base 7) in base 9?\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -44 + 36. Let h be j\/6 - (-16)\/12. Suppose -20 = -3*a - 4*p, 0*p - 5*p + 25 = -4*a. Solve 4*q + h*q = a for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -20*(3 - (-14)\/(-4)). Suppose -m = 2*c - 18 - u, 5*m - 36 = -2*c. Let f = c - -11. Is 24 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7501 >= -440?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the second derivative of 1\/3*y**3 - 8*y + 1\/10*y**5 + 0 + 0*y**2 + 1\/3*y**4. Factor q(d).\nAnswer: 2*d*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a meter in millimeters?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + h = 7, 0*r = 4*r - 5*h - 19. Suppose 0 = 5*j + i - 12, 5*i = -5*j + 2*i + r. Which is smaller: 4 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 2*r - 12. Let d be y(7). Suppose -d*z + 81 = -21. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 14 = 4*a, -5*n + n + 3*a - 17 = 0. Let k be 10\/(-28) + n\/14. Let r be -1 - (2 + (-31)\/11). What is the second biggest value in r, 3, k?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12328 - 12328.5. What is the third biggest value in m, -3, 70, -2, 4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1428 + -794. Suppose -13*v - 23 = -p. Is 5 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 3*u - 3. Let v be r(5). Suppose -5*x + q + 39 = 0, 3*q = x - 2*q - 3. Suppose d + x*d = 864. What is the highest common factor of d and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.0968 + -193.5032. Let a = 197 + g. What is a rounded to zero dps?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*k = -39*k + 6. Solve 0 = -2*l + s + k*s + 13, 4*s + 20 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -7, 48.7, 3, -0.3 in decreasing order.\nAnswer: 48.7, 3, -0.3, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 + w + 1. Let o(v) = v**2 - 4*v - 1. Determine -2*f(h) - 2*o(h).\nAnswer: -4*h**2 + 6*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.6199801*-4.\nAnswer: 2.4799204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (-15 - 8) - -22 - -8.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (((-128)\/(-16))\/(-16))\/(2\/(4*8))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3217, 27684, 94035, 223210, 436149?\nAnswer: 753792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.74504 rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 40\/420 - (-424)\/(-42) - -124 and 2166.\nAnswer: 2166","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22601 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: Determine w so that -5*w**4 - 8760*w**3 + 401805*w**2 - 4520340*w + 14555700 = 0.\nAnswer: -1797, 6, 9, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 0 - 2 + 1 + 263475*f - 263476*f. Calculate r(-10).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -3*t**2 + t + 2. Let d be o(2). Let w be (-6)\/(2*2\/d). What is the greatest common factor of w and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2 (b) 1\/4 (c) 16 (d) 37 (e) -384 (f) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 + 3. Let k be n(0). Let l = -11.2 + 11. Let g = 1.99 + 0.01. What is the nearest to 1 in g, l, k?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -h**5 - 232*h**4 + 11898*h**3 - 154872*h**2 + 605799*h = 0.\nAnswer: -277, 0, 9, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 763517859*c**3 + 1502*c + 161893 wrt c.\nAnswer: 4581107154*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xaaaaaiaaaxayoaa. Give prob of picking 1 x, 1 o, and 1 y.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -9*j + 324. Give y(24).\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 71699, 286753, 645175, 1146965, 1792123?\n\"Answer: 71684*o**2 + 2*o + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2*1\/(-2))\/(-4). Suppose 1451*t - 2898 + 526 - 530 = 0. Put 10\/31, b, t in descending order.\nAnswer: t, 10\/31, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -29*j. Let b(t) = 27*t. Calculate c(b(m)).\nAnswer: -783*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u. Let a(g) = -40*g. Give a(k(o)).\nAnswer: -40*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -34774, -32253, -29732, -27211, -24690, -22169?\n\"Answer: 2521*b - 37295","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 + 6*d**2 + d - 6. Let c be g(6). Let t be c - (0 + -1 + 1). Let r = 6 + t. Solve y + 3*i + 12 = 2, -2*i = r for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 511816?\nAnswer: 2, 63977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 65*h**2 + 42*h**2 - 110*h**2 + 10 + 9*h in the form x*h + j + a*h**2 and give x.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -10*d**3 + 63*d**2 - 30*d + 16. What is the ten thousands digit of f(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2\/7 (b) -0.05 (c) 5 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 498 divide 25544398?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2643 - 2601 = -6*z for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -5*l + 48, -194*l - 3*o + 30 = -192*l. Let k(h) = 12*h - 69. Give k(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((-3*(sqrt(12) - sqrt(108)))\/(sqrt(40)\/(2*sqrt(10))))**2.\nAnswer: 1728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 142 + -134. Let b be (-5)\/1*(-2 - c\/(-5)). Solve -2 - 4 = -o - r, -b*o - 3*r + 14 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-54 + 60)*((-1)\/1)\/(-6). Let r(q) = 2 - 5*q + s - 3*q + 7*q. What is r(6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, j: 1, h: 1, b: 1, p: 2, v: 2}. Give prob of sequence vv.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 170197585?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of k**3\/2 - k + 3261. Let l(h) = -21*h**2 - 21*h**2 + 2*h**2. What is l(s(y))?\nAnswer: -360*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**3 + 6480*f**2 + 102475*f + 96000.\nAnswer: 5*(f + 1)*(f + 15)*(f + 1280)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*y**(-2)*y**2)**(-26)\/((y**1\/y)**8\/(y*y**2*y*(y*y*y**(-4))\/y)) assuming y is positive.\nAnswer: y**(-51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 2 r when four letters picked without replacement from urrruuoouuuruu?\nAnswer: 24\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**2 - 10*u + 5. Let m be j(10). Solve -21 = m*r - 1 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-12)\/s)\/(s\/s**(-12))*(((s\/s**(1\/4))\/s)\/s*s)**(-10\/9) assuming s is positive.\nAnswer: s**(-463\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -26.4 - -28.4. Which is the third smallest value? (a) -0.15 (b) k (c) 2\/13 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -5 + (-9 - -6) + 4. Let a(b) = b + 3. Let l be a(0). Let o be -5 + l + (3 - 6). Put h, -3, o in descending order.\nAnswer: -3, h, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-51 + 336 + 159 + x)*(-6*x + 13*x + 0*x + (-4 - 2 + 5)*(-2*x - x + 4*x)) to y*x**2 + o*x + v and give y.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5)\/10*(-6)\/1. Suppose -79 = -5*j - 2*t + 158, c*t + 208 = 4*j. Suppose -13 = 2*i + z - 31, -3*i + 4*z = -j. List the prime factors of i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 16*p - 3*p - 7*p. Let v(i) be the third derivative of i**5\/20 - 395*i**2. Give v(k(c)).\nAnswer: 108*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/530 and 73\/1802.\nAnswer: 9010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1142 is divided by 61.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + 12, -2*z + 0*y + 42 = 2*y. What is the remainder when 1075 is divided by z?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53.26576mg in grams?\nAnswer: 0.05326576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 33\/5 of a millimeter?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*q + 58*q - g - 5 = 0, -5*q = 4*g + 26. Factor 20\/3*f + 2*f**2 + q.\nAnswer: 2*(f + 3)*(3*f + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -40 - -56. Let v be (-58)\/(-8) + 12\/o. Calculate the greatest common factor of v and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (22 + -19)*2\/(-6). Let f be 4\/(((-40)\/(-72))\/(w\/(-2))). What is m in -12\/5*m + f + 2\/5*m**2 = 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 109*x - 5856. Calculate j(52).\nAnswer: -188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16954 and 173?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/18748 and 30\/60931.\nAnswer: 243724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2298981.335 rounded to the nearest 100000?\nAnswer: 2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (-40 + (32 - -4) + 12).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -7*l**5 + 21*l**4 + 25*l**3 - 4*l**2 - 9*l + 1. Let s(d) = d**5 - d**4 - d**3 - d - 1. Let q(j) = 2*m(j) + 18*s(j). Solve q(t) = 0.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 91*j. Let p(y) be the third derivative of 1\/20*y**5 + 0 + 0*y**4 + 4*y**2 + 0*y**3 + y. Calculate p(k(r)).\nAnswer: 24843*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16431 is divided by 99?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -102*n**4 - 2*n**3 + 1463*n + 8297530 wrt n?\nAnswer: -408*n**3 - 6*n**2 + 1463","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0469 times -2029?\nAnswer: -95.1601","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*l = -11*l - 5936. Let q = l - 366. Calculate the highest common factor of 55 and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 2*k + 5. Let c(l) be the first derivative of 2\/5*l**5 + 3 + 5\/2*l**4 - 1\/3*l**6 - 2\/3*l**3 - 8*l - 8*l**k. Factor c(t).\nAnswer: -2*(t - 2)**2*(t + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 7, f: 5}. What is prob of sequence oo?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*v**3 - 63*v**3 + v - 3*v - v.\nAnswer: -49*v**3 - 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1187*873286\nAnswer: -1036590482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 213\/12 - (-2)\/8. Suppose 9 - 5 = -4*r, -3*g - 5*r = -859. Suppose 2*x + 4*s - g = 0, -6*s = -2*s. What is the greatest common divisor of x and u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 20 (b) 41 (c) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 22050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2142114 and -2?\nAnswer: 4284228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1600)\/260)\/(-40)*(3\/2)\/3.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 7:42 PM?\nAnswer: 6:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 4*x - 22 = 0, 4*x + 5 = -7. Let w be 38\/(-9 + 9306\/1035). What is the remainder when z\/3 + w\/(-69) is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1562 and 3550.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 35 = -2*q, 3*q = -2*q - b - 30. What is the second biggest value in q, 4, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 129 divided by 6\nAnswer: 43\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (512\/24)\/(886\/1329) + -7*3?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (5 - 4) + 10\/(-8). Let h = 2\/65 - -9\/130. Sort l, 4, h in increasing order.\nAnswer: l, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9593 * 0.1.\nAnswer: -959.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 - 2)*(2*c + 0 + 0 + (-12 + 12 + 59*c)*(2 + 1 - 4) + (0*c + c + 0*c)*(2 - 2 + 2)) + (2*c + c - c)*(2 + 1 + 0).\nAnswer: 116*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + (2\/1 - 0). Let n be (12 + 6)*2\/12. Factor 2 - 5*w**3 + 2*w**p + 2 + 7*w**n + 12*w**2 + 12*w.\nAnswer: 4*(w + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -181 - -270. Suppose -4*i = -5*b - 25, 5*i - b = 2*b + 28. Suppose i*j + d + d - y = 0, 2*d - 72 = -4*j. What are the prime factors of j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3065250 is divided by 613044.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (17 + 5 + -15).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 11044 = 3579. List the prime factors of t.\nAnswer: 2089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -3*g**2 + 3 + 7*g**2 + g**2 + 6*g + g**3. Let k be m(-4). Sort k, 3, 1 in descending order.\nAnswer: 3, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*m - 17*m + 2 + 9*m - 3*m**3 to the form v*m + s*m**3 + z*m**2 + k and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*z - 30 = 9*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 319 minutes after 12:42 AM?\nAnswer: 6:01 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*q + 13792 = 59*q. What is the remainder when q is divided by 110?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**3)**27 assuming c is positive.\nAnswer: c**81","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.150748532 to 4 dps.\nAnswer: 0.1507","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88*a + 41*a + 2942858 = 0. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2611\/5 - 27004\/95. Let f = -238 + o. Which is smaller: f or 1\/4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 14*i**2 + 5*i + 34. Let p(m) = -5*m**2 - 2*m - 11. Let u(o) = -17*p(o) - 6*v(o). List the prime factors of u(-9).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -144*m*o + 66*m + 3 wrt o?\nAnswer: -144*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -1853*a - 9594. Determine j(-5).\nAnswer: -329","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4441.4 + 4443.3937. Let h = -0.044 - -2.044. Let j = h - o. What is j rounded to three dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 - 1)*(14 - 2*c - 14)*(16*c + 32*c + 17*c + 5*c**4).\nAnswer: 20*c**5 + 260*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2239594335 to the power of 1\/5, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1700)*-4)**2 + (sqrt(17) + 4 + sqrt(17))*-2.\nAnswer: -4*sqrt(17) + 27192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1309 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lwwe when four letters picked without replacement from uleewewewe?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 23\/4 or -399?\nAnswer: 23\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 times -0.1?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 + 16*k**2 + 20*k - 24. Let l = -45 + 51. Let p(j) = -j**3 + 7*j**2 + 4*j - 9. Calculate the remainder when p(l) is divided by f(17).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 30 - 7. Suppose -p = -3*m + 4*p + j, -4*m + 3*p = -49. Calculate the greatest common divisor of m and 128.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (44\/(-220)*20)\/((-4)\/(-23)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f**(2\/9))\/(f*f*f**(-24)) assuming f is positive.\nAnswer: f**(218\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*u + 2*u + u)*((0 - 3 + 1)*(2 - 3 + 2) + 1 + 2 - 1 + 2 - 3 + 2).\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - 585 = -27. Let l = 69 - p. What is the hundreds digit of (-1389)\/(-9) - -2 - l\/36?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1811 + 3701. What is the smallest common multiple of 378 and g?\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-4))\/(2007\/1784)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 2*u**2 - 2*u - 2. What is the units digit of p(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/9, -1541987, 4, 2\/9, 2?\nAnswer: -1541987","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1\/6752 - -2619767\/60768. What is the second smallest value in 1, r, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 5*d - 4*x, -2*d + 3*x = -6*d + 36. Let y = -5 - -10. Suppose y*r = r + 5*c + 3, -3*c = -2*r + 1. Calculate the lowest common multiple of d and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*459.3\nAnswer: 2296.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 55 - 36. Let h = 91 + -54. What is the remainder when h is divided by a?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3092, -6193, -9294, -12395, -15496, -18597?\n\"Answer: -3101*u + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7167 is divided by 123.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 193*l + 1. What is the tens digit of o(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/756 and 149\/453096.\nAnswer: 1359288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5307025?\nAnswer: 5, 212281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 396 and 5780340?\nAnswer: 63583740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97 - 86 = 2*g - p, -4*g = p - 1. Let q(y) be the second derivative of 0 - 29\/2*y**g - 7*y - 7\/3*y**3. Differentiate q(j) wrt j.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -87452, -175077, -262874, -350843?\n\"Answer: -86*o**2 - 87367*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 278982 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 128 and 992?\nAnswer: 3968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (2 - -4)) + 170 + -167?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (96 - 91) + -24 - ((-1 - -8) + 2)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -26\/5665 and 8\/2575.\nAnswer: 28325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/(-2*(-1)\/(-1)). Let g(b) = b**2 - 4*b - 4. Let z be g(5). Let c be (35\/14)\/(z\/2). Solve o = 5*f + c*k + 45, -4 = 2*k + 6 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n + 0*n = 459. Let w = 62 + n. Find the first derivative of 3*x**2 - 2125*x**3 - w + 2102*x**3 - 3*x**2 wrt x.\nAnswer: -69*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -h**3*u**2 - 19*h**3*u + 116891*h**2*u**2 + 2*h**2*u - 8*h + 587*u wrt u.\nAnswer: -2*h**3 + 233782*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 876 + -623. Is m a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36327?\nAnswer: 3, 12109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 8 = 5*f. Let y = f + -1. Suppose 0 = 3*x + 5*h - y*h - 6, -5 = -2*x - h. What is the remainder when x is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 60\/(-185)*(-9)\/(135\/(-50)). Let b be ((-3)\/222 + 0)*-2707. Let v = n + b. Calculate the common denominator of v and 41\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) -12.312744 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -3*a**3\/4 - 12*a**2 - 60*a - 96 = 0.\nAnswer: -8, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 2*o + 2 + 2, 2*h - 4 = 2*o. Let a be -5 + h - (2 - 269). Let t = a - 98. Is 35 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1627?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1)\/2)\/((-1)\/(-8)). Let p(m) = m**3 + 2*m**2 - 2*m + 2. Let c(w) = 1. Let v(a) = 3*c(a) - p(a). List the prime factors of v(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 + -4 + -2 + 30. Suppose 0 = -4*n - 9 - 11, d = 5*n + k. Solve -5*m = 3*f + 2, 3*m + d = -f - 1 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*p**5 - 5*p**3 + 677*p**2 - 3171584*p.\nAnswer: 200*p**3 - 30*p + 1354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -2*w**3 - 2*w**2 + 3*w - 2. Let a = -9 + 6. Let t be c(a). Suppose -z - 4*z + t = 0. Solve -4*g + z = 17 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in six fifths of a centimeter?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -50 or -51?\nAnswer: -50","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + (26 - 64 - -13) + 26.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.7 + -2. Let u = -171.28 + 170. Let m = 2.72 - u. Which is the smallest value? (a) l (b) 3\/4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (5 - -8)*6\/2. Suppose f*b - 162 = 37*b. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of 7\/120*o**6 + 0*o**7 + o**2 - 23*o + 8*o**3 + 0*o**4 - 5\/336*o**8 + 0 - 1\/30*o**5. Find the third derivative of g(n) wrt n.\nAnswer: -300*n**2 + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4727, -4455, -4191, -3941, -3711, -3507?\nAnswer: -3335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 59014, 118697, 178380?\n\"Answer: 59683*v - 669","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 - -12. Let j(p) = -4 + 4*p**3 - 5*p**2 - 5 + h. Suppose -3*w = 20 - 56. Let f(n) = 10*n**3 - 12*n**2 - 10. Determine w*j(a) - 5*f(a).\nAnswer: -2*a**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together -67 and -20073510.12.\nAnswer: -20073577.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 45 = i. What are the prime factors of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 163*r = -29*r - 1391 - 3409 for r.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 1035?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1309 - 1686 = 207*i + 1145 for i.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2629, -3628, -4601, -5536, -6421, -7244?\nAnswer: -7993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 39 + -94. Let v = y - -55. Suppose 5*r - 2*w - 317 - 240 = v, 219 = 2*r + 3*w. What are the prime factors of r?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/14770 and -93\/770.\nAnswer: 162470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -210*j = 5*m - 205*j - 60, -5*m - 2*j = -39. Let d = 307 + -4607\/15. What is the closest to m in d, -1\/5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 582 divided by -1396\nAnswer: -291\/698","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 76 and 342?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**5\/5 + 23*g**4\/5 + 114*g**3\/5 + 212*g**2\/5 + 136*g\/5.\nAnswer: g*(g + 2)**3*(g + 17)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 140114376.\nAnswer: 2, 3, 1946033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 279 - 3*s + 281 - 560.\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6360*w**4 + 227*w**3 + 4119541 wrt w.\nAnswer: -25440*w**3 + 681*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of w**4\/6 + w**3\/3 - 82*w**2. Determine q(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a + 6. Let c(w) = -1. Let p(h) = -6*c(h) - v(h). Determine p(-7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/4 - 0) + 201\/134. Solve -7 = 5*s - 2, 5*t + i*s - 28 = 0 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -316201665 + 70395?\nAnswer: -316131270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -4269 > -4267?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 48*w**3 - 559*w**2 + 23*w - 2. What is n(11)?\nAnswer: -3500","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*k = -83*k - 103*k - 5*k + 20793 for k.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 96 and 57000?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3084 to the power of 1\/2, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from dxddxxdnxn?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of -u**3\/3 + 3*u**2 + 4*u + 14. What is r(7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 1148*c. Let p(b) = 483*b. Calculate f(p(g)).\nAnswer: 554484*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 - 6*t**2 - 5*t + 3. Let m be k(-5). Suppose m*q + 1 = 40. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from obovvbivwqwibbv?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/18, -57, 1\/2, 2\/5, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 745?\nAnswer: 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 PM and 5:56 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -26 + 29. Suppose 2*g - y - n*y = 234, 4*g - 477 = -y. Is 30 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(65) - (sqrt(65) - 4*-2*sqrt(65))) + 2*sqrt(65)*4 + sqrt(65))\/((sqrt(180)*-3 + sqrt(180))*-4).\nAnswer: sqrt(13)\/48 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 46 + -46. Let l be 1*8\/(-12)*-3 - r. Suppose -l*d = 5*j - 489, -5*j + 4*d + 263 = -214. What is the tens digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 27 = 53. Let v = -44 + f. Let j(p) = p**2 + 6*p. Give j(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 28*b - 71 = -24*b, -3*r - 3*b = 27 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4\/7*z**2 + 2\/7*z**4 - 6\/7*z**3 + 3\/7*z + 2\/7 + 3\/7*z**5 = 0. What is z?\nAnswer: -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4918000 rounded to the nearest 100000?\nAnswer: 4900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(2904)*-2*-4)\/(-3*sqrt(588)*2).\nAnswer: -44*sqrt(2)\/21 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 857.007 to zero dps.\nAnswer: 857","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, m: 1, e: 1, n: 1}. What is prob of sequence me?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dvpbqdm. What is prob of picking 1 q and 2 d?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -114 + 96. Let g(h) = h**3 + 20*h**2 + 20*h - 12. Is 12 a factor of g(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-5 + (0 + (sqrt(1300) + 1 + sqrt(1300))*-4)*2*3 + -2)**2.\nAnswer: 29760*sqrt(13) + 2996164","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**2 - 3*u + 33. Let b be r(-7). Suppose -3*o - q - 6 = -b*q, -4*o = -2*q - 2. Solve 2*m + 6 - o = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that x**3\/4 + 16596523*x**2\/4 + 17215283906030*x - 17215288055161 = 0.\nAnswer: -8298262, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2644670070 rounded to the nearest 100000?\nAnswer: -2644700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6953 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 5.565971 centuries?\nAnswer: 55.65971","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 92429564?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-2))\/((-429)\/78).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 828\/18630 - 1432\/(-180)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = x - 126. Let h = x + -69. Solve h = 3*s + 2 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2450 - 2410. Suppose 3*n + 24 = 3*g - 9, -4*n = 4*g - 12. Suppose -5*m + g = -18. What is the greatest common factor of u and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(204\/(-9)) - (-2234875)\/879835?\nAnswer: 26\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-181499928)\/(-33) + 2 - (-12)\/66. What is l rounded to the nearest 100000?\nAnswer: 5500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 10 = c. Suppose -c*k + 5 = -15. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 20 = 6*z. Suppose 2*v - z*b = -3*v - 2796, -4*v = 4*b + 2244. Let t be 16\/v - (-4)\/(-7). What is the second biggest value in 0, t, 1\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -73 - -76. Suppose 0 = w*d - 10*d + 21. Suppose -4\/3*h**d - 4\/3*h**2 + 2*h - 2\/3 - 2\/3*h**5 + 2*h**4 = 0. What is h?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9967 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/17557 in -3\/4, 1, 4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 650 and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2 - 11*z - 7. Let s = 62 - 62. Suppose s = 3*b + 12. What are the prime factors of f(b)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 s, and 2 q when four letters picked without replacement from srsrssqrrsqssq.\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(209) + (sqrt(209) + -2*sqrt(209))*5)\/(sqrt(11)*2*4))**2.\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*q - 36 = -9*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of x**3\/6 - 2*x. Let w be z(-1). Let i(m) be the first derivative of -m**2\/2 - m + 75. Give i(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 31*v - 81*v + 6*v**2 + 28*v - 6 + 4*v**3 + 33*v. Is c(5) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -230*v - 5726. Give o(-25).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 62489557 to the power of 1\/3, to the nearest integer?\nAnswer: 397","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 24, -2\/7, -1.1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (52\/910)\/(-1*(-1)\/7)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 22*l**2. Let d(o) = -6*o**2 - o. Give d(i(k)).\nAnswer: -2904*k**4 - 22*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 + (-2 + 29 - (-28 - -30)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, -16, -18, -20?\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.04235, 2\/13, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -122?\nAnswer: -122","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 22*w**2 - 3*w - 1. What is the units digit of f(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -41 + 60. Calculate the remainder when d is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, 0.1, 1\/6, 1, 361, 1\/8 in decreasing order.\nAnswer: 361, 1, 1\/6, 1\/8, 0.1, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4843\/16091 - 1554378583\/2526287. Let l = -615 - v. Let o = 347\/1727 + l. Which is the second smallest value? (a) 3 (b) -0.5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -4*b + 15, 10 + 5 = -b - 4*r. Put 4, b, 1 in decreasing order.\nAnswer: b, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-69) - (-1)\/(1564\/(-527)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oooooooomoogooo. Give prob of picking 2 o.\nAnswer: 26\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jz when two letters picked without replacement from zdjbglz?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.1? (a) 2\/11 (b) -15 (c) 1 (d) 552 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 35 - 31. What is the biggest value in -3, a, -1, 0.3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -394*r**4 - 395*r**4 - 4*r + 788*r**4 - 3*r**2 - 4 in the form t*r**4 + o*r**2 + u + c*r + l*r**3 and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from merrrerer. Give prob of sequence rrrm.\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + -43 + 50 + -1 + -12?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 4 - n + 5*n**2 + 1 + 4*n**4 - 5*n**4 in the form k*n + h*n**3 + a + c*n**2 + q*n**4 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4.60955703 and -5.\nAnswer: 23.04778515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -2*l - 2. Let y(z) = -780*z - 910. Give 910*p(a) - 2*y(a).\nAnswer: -260*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (d**2 - d**2 - 11*d**2)*(2*d**2 - 599*d + 599*d + 10) as h + z*d**4 + k*d**3 + s*d**2 + f*d and give s.\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.4 and -40929742287.\nAnswer: -40929742286.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -62 * -0.2\nAnswer: 12.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + ((-3 - -7) + -3 - (-11 + 8)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c**3 - c**4 - c - 1 + 2*c**2 - 6*c**3 + c**5 + 2*c + 12*c**3 = 0. What is c?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8062, 11418, 14774, 18130?\nAnswer: 21486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50465?\nAnswer: 5, 10093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 248 a factor of 652984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 158920822.\nAnswer: 2, 137, 619, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -0.12, 5, 3, -2\/15, 1\/26703?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -388335843 to the nearest one hundred thousand.\nAnswer: -388300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 45\/(-6)*(-8)\/(-10). Let m be (-15)\/(i\/4 + 0). Suppose -5*u + 58 = 3*s, 0*s - 3*u - m = -s. Calculate the lowest common multiple of 16 and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 e when three letters picked without replacement from {o: 1, e: 1, r: 3, f: 3, u: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18490 + 4596 = -1649*o for o.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 7 - (-286 + 2\/(-1))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 70 = 2*n + 3*n, 2*o + 4*n = 128. Let r = 64 - o. Suppose 887 = 5*d + i - 0*i, 539 = 3*d + r*i. Does 43 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the third derivative of -31*c**8\/336 - c**4\/12 - 8*c**2. Find the second derivative of v(m) wrt m.\nAnswer: -620*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53344728 a multiple of 828?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 604 + -602. Sort -3, -0.2, 3, z in decreasing order.\nAnswer: 3, z, -0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert b57739 (base 14) to base 10.\nAnswer: 6128775","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the first derivative of -80\/3*w**3 + 12 + 128\/9*w**2 + 24*w**4 - 42\/5*w**5 - 32\/9*w. Determine s, given that n(s) = 0.\nAnswer: 2\/7, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-4*(sqrt(175) + -4*2*sqrt(175)) - (-1 + sqrt(175) + 4 - (-1 + (sqrt(175) - (-1 + sqrt(175))))))*-1*3)**2.\nAnswer: -116640*sqrt(7) + 18372096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 9*k - 2 + k**2 + 2)*(2 + 2 - 3).\nAnswer: k**2 + 9*k + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 160.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 1 = d, -2*d + 2*r = -d. Is 2 > d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -123*p**2 + 134*p**2 - 5 - 4 wrt p.\nAnswer: 22*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 677523827?\nAnswer: 359, 1887253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, 15, 30, 43?\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 10 = 0, -3*d - d + f + 591 = 0. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -121628, -243236, -364844, -486452?\n\"Answer: -121608*u - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 3:26 PM?\nAnswer: 1:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**4 + r**3 + 2*r**2 - r - 1. Let z(u) = u**4 - 437*u**3 + 2*u**4 + 449*u**3 + 3*u**2. Let g(m) = 3*h(m) + z(m). Factor g(l).\nAnswer: 3*(l + 1)**3*(2*l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1513, -6087, -13721, -24415, -38169?\n\"Answer: -1530*d**2 + 16*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 372 and 11046.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -205 divided by 10822\nAnswer: -205\/10822","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y**2 - 2*y**2 + 2*y**4)*(2*y - 2*y + 11*y - 7) + y**2 - y**2 + y**5.\nAnswer: 23*y**5 - 14*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(121) + sqrt(121)*1)*3 + -2*sqrt(121)*2)\/((sqrt(11) - (sqrt(11) + sqrt(11)*2 + sqrt(11)))*2 + (sqrt(88)\/sqrt(2))\/sqrt(4)))**2.\nAnswer: 44\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 PM and 9:39 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 23*s**2 - 1028*s + 2015. Give k(43).\nAnswer: 338","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4579 - 4630. What is the smallest value in p, -3, 4\/5, 4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -64 + -32536969\nAnswer: -32537033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 369758, 739496, 1109220, 1478924, 1848602, 2218248, 2587856, 2957420?\n\"Answer: -s**3 - s**2 + 369748*s + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -x - 4. Suppose -2*z = v - 8, 8 = 3*v - 5*z + 17. Suppose 0 = -x*s + v. Is 1\/7 > s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 - (-2 + 3 + -5). Suppose 2*w - 4*v - 54 = 0, -3*v - x*v - 25 = 0. What is the remainder when 62 is divided by w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 3 = 6. Let p be f\/2*(-12)\/(-9). Let b(z) = 0*z + 0*z + z**2 - 4*z**p. Let w(v) = 3*v. Calculate b(w(g)).\nAnswer: -27*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -54 - -51. Is ((-1)\/c + (-110)\/33)*-38 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1 + 5*l**5 - 7993*l**3 - 2*l**5 + 7177*l**3 - 1830*l wrt l.\nAnswer: 60*l**3 - 4896*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3721490406?\nAnswer: 2, 3, 22972163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -2*z + 191. Suppose -805 = -17*h - 176. Let s be f(h). Is 117 at most s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 + 6*j + 3. Let k be (9\/4)\/(3\/8). Give g(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2111 - 10031?\nAnswer: -1320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 + 7*d**2. Let j be c(-7). Suppose j = 3*p + 11 - 47. Let n(i) = -i + 12. What is the lowest common multiple of p and n(-8)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1613909 and 308?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 3)*(2 + 1 - 2)*(4*q - 2*q + 0*q) + 2*q + q + 7*q.\nAnswer: 18*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 3:32 AM?\nAnswer: 4:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 - 6.1. Let x = t + 3.1. What is the biggest value in x, 1, 1\/2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 260904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -8337 times 6.6?\nAnswer: -55024.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 2*n = 3*n + 14, 2*b - b - 259*n = -211*n + 672 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 107208582 a multiple of 197?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -239c (base 14) in base 13?\nAnswer: -2aa0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 783770927 - -10542?\nAnswer: 783781469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6519 and 15264?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 - (0 - 2)\/(-1). Calculate the remainder when (h\/(-2))\/((-1)\/(-22)) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -2, 1039*s - 1042*s = -4*y + 321. Solve -y*q = -79*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 25*b**2*h - 2*b**2 + 136*b*h**2 - 7*h**2 - 5317*h wrt b?\nAnswer: 50*b*h - 4*b + 136*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*d**2*z**2 - 8*d**2*z + 11*d**2 - 3*d*z**2 + 5*d + 31*z**2 - z wrt z?\nAnswer: 10*d**2 - 6*d + 62","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 at least 30.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1.750765 seconds?\nAnswer: 1750.765","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*f + 5*n - 15, 21*n - 539 = 107*f + 23*n for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 20 - 15 - 11 + 9*d. Let b be p(4). Let i = 110 - b. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -299298 bigger than -299324?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 393236180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-5 + 5*sqrt(6)\/(-3*sqrt(3)*2) + 5)**2.\nAnswer: 25\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 53222?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4a - 396?\nAnswer: -402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - 9*2\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37130*s - 37333*s = 11977 for s.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f + 1. Let t(m) = -12*m + 15. Let q(h) = -5*s(h) + t(h). Let u be -4*2\/2 - 2. What are the prime factors of q(u)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -2*c**3 + 2*c**2 - 3*c. Let j be x(-3). Let r(l) = -l**2 + 28*l - 78. Let h be r(22). What is the greatest common factor of h and j?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42491 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7895383.6400383 + -7895384. Let l = -0.36 - h. What is l rounded to six decimal places?\nAnswer: -0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k = -6722 - -6735. Calculate the remainder when 712 is divided by k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 22*243\/5334 + -1. Let k = -0.28867 + 0.38867. Is k less than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (1 - -3) + -4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.867 plus 0.06?\nAnswer: -2.807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -31355, -62697, -94043, -125393, -156747, -188105, -219467?\n\"Answer: -2*l**2 - 31336*l - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2849*j**2 - 5*j + 6. Let s be b(2). What is s rounded to the nearest 1000?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -43060347*3\nAnswer: -129181041","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 5*i**4\/2 + 168335*i**3\/2 + 1262075*i**2 + 4206500*i = 0.\nAnswer: -33652, -10, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 409*d - 325. Let q be p(15). Let r = q - 1837. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + 5*f - 49645, -2*m + 4*f + 61019 + 38229 = 0. What is the ten thousands digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 4*z + 6*z**3 - 5*z**3 - 5*z + 77 - 14*z**2 - 44. Determine h(14).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 4*r + 773 = 0, 6*f - 2*r = f + 1307. Let u = -19955 - -20218. Is f <= u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3184646 - -1070811. Let q(g) = 109071*g**2 - 8*g + 8. Let w be q(-7). Suppose -o = w + m. Round o to the nearest 1000000.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20 + -23. Let t = -3\/25 + 13\/25. What is the second smallest value in 2\/13, t, u?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9602, 76641, 258610, 612971, 1197186?\nAnswer: 2068717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -0.8, -2\/35, 3, -465 in increasing order.\nAnswer: -465, -1, -0.8, -2\/35, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 344 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert a0c20 (base 15) to base 8.\nAnswer: 1742064","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*l - j - 80, 0 = 4*l + 1516*j - 1521*j - 376 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 63, 160, 259, 360?\nAnswer: 463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(55)\/(sqrt(5) - sqrt(15)\/(sqrt(3) + sqrt(12)\/sqrt(4)) - sqrt(5)).\nAnswer: -2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*c**2 - 3*c**2 - 16*c**2)*((-3 + 4 - 2)*(3*c - 4*c + 3*c) + 6*c + 2*c - 4*c + c - 3*c + c).\nAnswer: -25*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 - -32. Suppose -l - 4*c = m, 2*l - 3 = -2*c + 3*c. Let q(a) = a**3 + 3*a**2 + 2*a + 1. Determine q(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4335?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of 0*d + 3 + 0*d**3 + 3\/5*d**5 - 3\/2*d**2 + 0*d**4. Find the second derivative of z(i) wrt i.\nAnswer: 36*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24978?\nAnswer: 2, 3, 23, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 34 and 16966?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s**7)\/(s*s**(5\/2)*s*s)*s\/(s**(1\/3)*s)*s*s**(-5\/2)*s assuming s is positive.\nAnswer: s**(8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**4\/11 + 14*x**3\/11 - 28*x**2\/11 - 96*x\/11.\nAnswer: 2*x*(x - 3)*(x + 2)*(x + 8)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 9*k - 105. Let f = 20 - k. Let p = -18549\/308 - -241\/4. Is p at most as big as f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2353328 years to decades.\nAnswer: 0.02353328","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 + 16 + 7*r + 6*r - 6*r. What is the lowest common multiple of 8 and l(8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(-6)*-4 + 6. Solve -y + 4*h = 12, m*y = 6*y - 4*h + 12 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 41 + 292. Suppose 6*s = 9*s - y. Calculate the remainder when s is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -248 or -247?\nAnswer: -248","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -24\/1723 > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8032388*c**2 + 1 - 1 + 8032385*c**2.\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a day in seconds?\nAnswer: 32400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3178 and 246554.\nAnswer: 55967758","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xkpp when four letters picked without replacement from {k: 1, x: 1, y: 2, p: 2}?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 0.69\nAnswer: -0.069","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 441009197 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 31568*a + 31570. Let s be u(-1). Suppose -2*r - 3*r + 30 = 0. Solve 0 + r = -d + 4*c, s*d = -2*c + 8 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1130?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 66\/8225 and -53\/1828965.\nAnswer: 3008647425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -18734 at least as big as -18735?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + -2 + 215\/43. Suppose -4*r + 346 = d*a, -a = -3*r - 2*a + 258. Does 79 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a minute in seconds?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -42*n**2 + 3*n + 1. Give y(1).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) 0 (c) 42.8 (d) 5 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000002340296066 to seven decimal places.\nAnswer: -0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cm when two letters picked without replacement from {s: 3, c: 5, t: 3, p: 1, w: 1, m: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4 + -6)\/((-1)\/5). Solve -c + 2*q = 2*c - 7, 3*c = -q + h for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 16 + 4 = -5*i, 5*i + 25 = 5*s. Let b = i + 5. Suppose 4*h + 5 = q, 2*h = -4*q - 0 + 20. Solve v - 15 = 5*u - 0*v, q*u - 5 = b*v for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/7)\/(3\/147). Let f be (-3)\/1 - l\/(-6). Let u be (0\/(182\/13))\/(-5). Sort -3, f, u in ascending order.\nAnswer: -3, u, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vrrv when four letters picked without replacement from ssvvrssrsrvv?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 860 is divided by -6 - (63 + -59)*14\/(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the third derivative of 0 - 63*u**2 - 1\/8*u**4 - 9\/2*u**3 + 0*u. Let f(l) be the second derivative of l**3\/6 - 16*l. Give f(p(v)).\nAnswer: -3*v - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 8 + -14 + -25\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 60.7856ug in nanograms?\nAnswer: 60785.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47814069.\nAnswer: 3, 29, 549587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.557 - 0.557. What is the second smallest value in 0.1, x, 4\/17?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -2*a**3 - 159*a**2 + 13129*a - 131. What is p(-130)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 11453.07 kilometers?\nAnswer: 11453070000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y - 6*y - 10 = 0. Let w be (-8)\/6*((y - 5) + 175). Find the common denominator of 1 - -2 - -2*(-148)\/w and 80\/21.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 2*a - 34062, -5*a - 10391 = -j - 95601. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 5, s: 3, t: 3, y: 3, a: 4}. Give prob of picking 2 s, 1 y, and 1 a.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -22341 + -3202?\nAnswer: -31043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggggwgwggggggwgg. Give prob of picking 1 g and 2 w.\nAnswer: 39\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 4*s - 17. Let h(k) = -3*k + 18. Let x(i) = 3*h(i) + 2*l(i). What is the units digit of x(13)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eevooecoeooocooeocco. Give prob of sequence vc.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -2 + (-3 - (-10 - -4)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 - 35*v**2 - 17*v + 601. What is q(35)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 3*j - 4104 = -4008, 2*b = b - 2*j - 64 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-220)\/(-33)*(292\/2 - 2). Calculate the greatest common divisor of x and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**2 - 1833*r - 1836.\nAnswer: 3*(r - 612)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of 11*z**6\/120 - 11*z**5\/60 + 7*z**4\/24 + z**3\/2 + 111*z**2. What is the tens digit of g(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 5 = -0*z - 3*w, -z + 2*w = 10. Which is the closest to 4? (a) -0.1 (b) -5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 n when three letters picked without replacement from cooconoooooooo?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.35000764 + -0.35. Round s to six dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.4 + -4.6. Which is the second smallest value? (a) q (b) -0.1 (c) -3 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 259*s = 83*s - 222*s - 7164 for s.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 + -11. Let i be (-4)\/8 - s\/(-2). Suppose -2*f = -i*f - 674. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56077657.2 rounded to the nearest one thousand?\nAnswer: 56078000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1818430 and 1314?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-12)\/(-15))\/((-14)\/(-10)). Let s = 0.6 + 0.4. Let v = -1.2 + s. Which is the second smallest value? (a) v (b) 2 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*(s\/(s\/s**10*s))\/s)**(-25)\/((s\/(s*(((s*s*s*s**(5\/2)*s*s*s*s)\/s)\/s)\/s*s))\/s**(1\/36)) assuming s is positive.\nAnswer: s**(-7829\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 87409 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -181535, -181510, -181487, -181466, -181447?\nAnswer: -181430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l**5\/7 - 94*l**4\/7 + 1514*l**3\/7 - 9202*l**2\/7 + 12308*l\/7 + 23120\/7 = 0 for l.\nAnswer: -1, 4, 10, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -2\/283953?\nAnswer: -2\/283953","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 3*q - 1715. Let t(s) = 2*s. Determine y(t(p)).\nAnswer: 6*p - 1715","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 769.\nAnswer: 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12447942.\nAnswer: 2, 3, 13, 159589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 553811893 to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -9 - (7 - 8 - 9)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16717*p**4 + 112*p**3 - 11*p**2 - 195*p - 97 wrt p?\nAnswer: 401208*p + 672","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 570 - 570 - 28*u + (3*u - 4*u + 8*u)*(-3 + 0 + 4) + 6*u - 3*u - 2*u + (0*u + u - 3*u)*(5 + 0 - 4).\nAnswer: -22*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + 2.8. Let s = 0.1 - 6.1. Let g = s + 6. What is the second smallest value in p, g, -3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, 4, 19 in ascending order.\nAnswer: -4, -2, 4, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12753485 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 51877 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 10 - 45*m**3 + 3 + 13*m - 10*m + 40*m**3 + 2*m**2 to y + s*m**2 + f*m**3 + o*m and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 713 = 5*k + 2498. Let d = k - -539. Suppose 5*s - d = -42. Is s a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of -937*w**4\/4 - 1856*w**3\/3 + 2*w + 4325. What is the second derivative of t(u) wrt u?\nAnswer: -5622","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 506661 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6380\/9 + 101387\/144. Calculate the common denominator of n and (426\/(-9))\/(36\/27).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of n**4\/2 + 6*n**3 + n + 18. Let b be c(4). Calculate the greatest common factor of b and 144.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -241*l - 86*l - 46 + 30 + 25 + 6.\nAnswer: -327*l + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 284, 489, 822, 1277, 1848, 2529, 3314, 4197?\n\"Answer: -c**3 + 70*c**2 + 2*c + 213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u**2 - 2*u - 4*u + 2 + 6*u = 0 for u.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 38*w**2 - 2*w + 1. Suppose 3*c = 5*p + 10, -3*p + 5*p = -10. Let s be (-4)\/(-14) - c\/7. Is o(s) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 282853329.\nAnswer: 3, 11, 1493, 5741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 2*q = -0 - 14, -5*q = 5*d - 35. Suppose 3*l - 2*i + 4*i = d, -3*i + 3 = 3*l. Solve 5*s - 5*u = 40, u - 8 + 20 = l*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10686 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -54523356 + -8650644. What is t rounded to the nearest 100000?\nAnswer: -63200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r**4\/5 - 398*r**3\/5 - 5358*r**2 - 648514*r\/5 - 524264 = 0. Calculate r.\nAnswer: -71, -52, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 30013 + -30?\nAnswer: 23323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -2*m**3 + 8*m**2 + 8*m - 25. Is j(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 70*q = 416, -38*r - 4*q = -40*r + 22 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1279409 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, a: 1, m: 3}. What is prob of sequence mmla?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 + n - 3. Let j be b(-3). Suppose -t - 1 = -3*i, 4*i + j*t - 19 = 2*i. Solve 1 + i = -3*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.10650470656 to six decimal places.\nAnswer: -0.106505","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2395, 4\/9, 0, 9.19, 3\/2 in increasing order.\nAnswer: -2395, 0, 4\/9, 3\/2, 9.19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 629*g + 200. Let a(z) = -788*z - 199. Calculate -4*a(u) - 5*w(u).\nAnswer: 7*u - 204","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 4 = -2*g, 3*w - w = 0. Calculate the least common multiple of g - 1 - 180\/(-12) and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 AM and 3:22 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*z - 4*c + 15, -9*c = 4*z - 3*z - 51 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000 + -11101010010?\nAnswer: -11101011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 318251343 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Sum 531.48 and 2.1914.\nAnswer: 533.6714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-18))\/((-1)\/(-2))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the third derivative of -1\/6*z**3 - 2*z**2 + 1\/24*z**4 - 1\/60*z**5 + 0*z - 1\/120*z**6 + 0. Determine u(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 2*i - 8 = 4, 14 = -4*o - 3*i. Let y be 4\/12 + 6\/(-9). Which is the nearest to y? (a) -5 (b) -2\/7 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = 6*r + 108. Let y(h) = 9*h - 1. Calculate the remainder when r\/144 + 169\/8 is divided by y(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 3 x when four letters picked without replacement from oozvxozxooooooxzvuo?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 222021 + 12?\nAnswer: 222110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 11:54 PM?\nAnswer: 7:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 156500*q**2 - 156500*q**2 - 442*q**5 + 0*q**4 + 0*q**4 - q**5 + (-6*q**5 + 2*q**5 + 3*q**5)*(-1 + 0 + 3) - 3*q**5 - 4*q + 4*q.\nAnswer: -448*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_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: Two letters picked without replacement from mmmlmmlmmlmglmllmlmm. What is prob of sequence mm?\nAnswer: 33\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -121 - -181. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2 + 5*j - 14. Let h(n) = -3*n**2 - 14*n + 42. Let d(w) = 4*h(w) + 11*u(w). Calculate the remainder when d(0) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -278658.3695 to the nearest ten thousand.\nAnswer: -280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, -0.4, 5360, -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46514 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*w**3 + 0*w**3 - 6*w**3 + 5*w + w**2 + (6*w**2 + 6*w**2 - 4*w**2)*(-4*w + 3*w + 0*w).\nAnswer: -9*w**3 + w**2 + 5*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -g**3*i*x**3 + 56*g**3*x**3 + 8534*g**3*x**2 - 22*g**3 + g**2*i*x - 103*g*x**3 wrt x.\nAnswer: -6*g**3*i + 336*g**3 - 618*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (20\/25)\/(6\/(-15)) + -57. Let z = y + 180. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 39\/(-9) - 3294574\/(-129). What is the greatest common factor of a and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence memb when four letters picked without replacement from {e: 4, b: 6, m: 5}?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, -75, -11551, 5 in descending order.\nAnswer: 5, -1, -3, -75, -11551","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + 7 + (-207)\/18. Which is the nearest to 1\/2? (a) -5 (b) y (c) 3\/49\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 185.43531 months to years.\nAnswer: 15.4529425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -21*w + 56. What is the units digit of z(-18)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -234\/7, 8186, -4, 5, -0.5?\nAnswer: -234\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 912, 166, -1074, -2814, -5060?\n\"Answer: -i**3 - 241*i**2 - 16*i + 1170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 245, 231, 217?\nAnswer: 203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 102820 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 99\/260 and -43\/460?\nAnswer: 5980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 31 = -2*j, 4*j = -4284*k + 4288*k + 44 for j.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*s + 16*s = -34*s. Which is smaller: -1\/3052 or s?\nAnswer: -1\/3052","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 + 8 = -4*q. Suppose 4*l - 102 = -q*d, 4*d = -3*l - 14 + 91. Does 4 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the third derivative of 3\/20*y**5 + 0 + 1\/24*y**4 + 16*y**2 + 0*y - 5\/6*y**3. Let c be p(3). Do c and 79 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1104 rounded to 2 decimal places?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Do -9.91 and -87183\/2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**3 - 3*l**3 + 3*l**3)*(-2 + 16 - 4)*(3 - l - 3 - l**2).\nAnswer: 20*l**5 + 20*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*c - 24*c = 10 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 23*c + 1. Calculate the remainder when 46 is divided by j(1).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1957539052?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6968 - -6963. Sort v, -3902, 5.\nAnswer: -3902, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24*(364\/26)\/(-28)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**3)**(-15\/7)\/(a**(3\/5)\/(a\/(a**(2\/3)\/a*a))) assuming a is positive.\nAnswer: a**(-703\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -12*p**2 + 3 + 20*p**2 - 7*p**2. Let r be h(3). What is the highest common divisor of r and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -51 + 48. Suppose -3*w + 6*w + 4*l = 0, -4*w - 4*l + 4 = 0. Which is the second biggest value? (a) w (b) u (c) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - t - 2510 + 2538 = 0, l = -t + 14. Let i(s) = -10*s - 21. Give i(l).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a week in minutes?\nAnswer: 1008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 238 and 313656.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-335)\/(-20) + -17 - (-18)\/8?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 3*l + 79, 5*l = z - 69 - 26. Let d = 31 + l. Calculate the greatest common divisor of 117 and d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 309*o. Let s(a) = 198*a. Calculate s(y(v)).\nAnswer: 61182*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1127 and 874?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -5*h + 13, -18 = -c - 0*c - 3*h. Suppose -3*r - c = b + 6, -6 = -4*b + 2*r. Which is smaller: b or -10\/7?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 155*s**3 - 51*s**3 - 53*s**3 - 46*s**3.\nAnswer: 5*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -320 = 3*l - 4*a, -3*l + 4*a = 8*a + 280. Which is smaller: 2\/5 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 + 0 - (62 - 39 - 29)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -566, -833, -1104, -1379, -1658, -1941?\n\"Answer: -2*c**2 - 261*c - 303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 59 - 67.7. Let x = 0 - 6. Let b = f - x. What is b rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 + -9. Suppose 5*v + 20 = g, 5*o - v - 429 - 530 = 0. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -482 + 47 = -5*w. Is w*((-6)\/(-3) - 1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 5*d**2 - 8*d - 1. What is w(-2)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(2 + (sqrt(2541) + (sqrt(2541) + sqrt(2541) + sqrt(2541)*2)*-4)\/((1*(sqrt(847) + 3*sqrt(847)) - sqrt(847)) + sqrt(847))))**2.\nAnswer: -60*sqrt(3) + 739\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 274163, 274164, 274165?\nAnswer: 274166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 187 = 11*s + 121. Let z(j) = -3*j**2 + 18*j - 3. Calculate z(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1474, -2937, -4390, -5833, -7266, -8689, -10102?\nAnswer: -11505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 + 2\/6)*9. Let d = f - -6. Suppose 0 = 5*j + 4*g - 12, 0 = -d*j + 4*j - g - 18. Calculate the highest common divisor of 4 and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -20 + 78695.\nAnswer: 78675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 84 and 162?\nAnswer: 2268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 e, and 1 h when three letters picked without replacement from {p: 1, g: 1, h: 1, e: 1, r: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 1730437893?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1644.\nAnswer: 2, 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 - 15. Let i(c) be the third derivative of -c**5\/60 + c**4\/24 + c**3\/2 - c**2. What is i(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4238252 is divided by 1396?\nAnswer: 1392","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 + 14*u - 2. Let c be v(10). Suppose -b - c = 22. What is b rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8250962950?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, 1\/4, -0.0683, -0.4, -0.5?\nAnswer: -0.0683","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of -2*d**5\/25 - 27*d**4\/10 + 2*d**3\/15 + 27*d**2\/5 + 1190. Solve w(i) = 0.\nAnswer: -27, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 7:55 PM?\nAnswer: 7:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.02 (b) -3\/5 (c) 1\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 + 2 + 1)*29. Let v = -17 + i. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - (-2 + -1) - -4) + 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -372227*g**3*i - 26*g**2*i + 2*g*i - 6385*g + 2 wrt g.\nAnswer: -2233362*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 1188238 to the nearest 10000.\nAnswer: 1190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 - 33*t**2 + 31*t + 28. Let z be ((-117)\/(-15) - 9)*80\/(-3). Let k be f(z). Sort k, 1, 0 in decreasing order.\nAnswer: 1, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 79*n**4*v - 6*n**3*v + 18*n**2*v + 2*n**2 + 10*v wrt n.\nAnswer: 1896*n*v - 36*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 350\/1750*70\/126.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -8*o + 3. Let w(v) be the third derivative of v**4\/12 - v**3\/6 - 9*v**2. Let x(a) = 2*g(a) + 9*w(a). Suppose -8 - 8 = -4*y. What is x(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + -1. Let u be 474\/30 - 2\/(-10). Suppose -c = -d, -i - 2*d + u = -d. What is the remainder when i is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-2 + sqrt(15)\/(sqrt(9)\/sqrt(3))))**2 + (sqrt(20)*-1 - (-3 + sqrt(20)\/sqrt(4))) + 4.\nAnswer: -7*sqrt(5) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2\/383 + -788\/4213. Suppose 4*k + 52 + 4 = -4*v, 3*k + v = -44. What is the fourth smallest value in 3, k, 1\/2, n?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of l**4*z + 2*l**4 - 203*l**3*z - 566*l**3 + 5*l**2*z - l*z + 37711*z wrt l?\nAnswer: 24*l*z + 48*l - 1218*z - 3396","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and -3.00815824?\nAnswer: -9.02447472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tius when four letters picked without replacement from {u: 2, i: 10, r: 2, t: 4, s: 1}.\nAnswer: 5\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1.851+1263789015\nAnswer: 1263789013.149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9698 - 2538 = 4*r. Suppose 0 = p, -2*m - 3*p = -0*m - r. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 12) to base 15.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*j + 18*j = -9 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of 5*i**6\/6 + 7*i**5 - 200*i**3\/3 - 40*i**2 + 240*i - 182. Suppose v(j) = 0. What is j?\nAnswer: -6, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -264, -256, -234, -192, -124?\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24 + -48. Let u = -14 - a. Let j = -7 + u. Sort 4, -4, j in decreasing order.\nAnswer: 4, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (12\/4)\/(1 - 0). Suppose 0*j = c - 2*j - 16, -49 = -k*c + 5*j. Does 9 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1488, 5, -4.\nAnswer: -4, -3, 5, 1488","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -1, -5, -56, 7, -4 in descending order.\nAnswer: 7, -1, -4, -5, -7, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2691544?\nAnswer: 2, 31, 10853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -115, -224, -329, -430?\nAnswer: -527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-36) + 57\/63?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1050 and 11264540?\nAnswer: 168968100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2631591838 to the nearest integer?\nAnswer: 1381","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (-17)\/(-1) - -9) + 355\/(-50)*-1.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 + 2*z**2 - z - 3. Let k be n(-2). Let j = 0.5 + -0.3. Let m = j - 0. What is the closest to k in -5, 2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 565*p**3 + 7 - 1173*p**3 + p**2 - 3 - 2*p + 2417*p**3 in the form s + r*p + v*p**3 + w*p**2 and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 5*i - 482554, -2*d + 214491 = -5*i - 268063. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 - 18*a**2 - 112*a - 12. Give v(23).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*q + 1175586 = 210498. Let j = 5227507\/130 + q. Calculate the common denominator of 27\/8 and j.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*x - 13*x - 14*i = 163338, 217642 = 4*x + 5*i. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -529 - -205\nAnswer: -324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -13920.9 to the nearest 100.\nAnswer: -13900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23\/5 + -97\/20. Put z, 3, 3\/5, -66.1 in decreasing order.\nAnswer: 3, 3\/5, z, -66.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 - 19*f + 92. Let r be o(8). What is the nearest to r in 0, 1, -2\/7, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -116.6 - -116.9. Which is the biggest value? (a) -67 (b) 1\/5 (c) -1\/5 (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of 19\/3*w**3 - 8 + 0*w**2 + 0*w + 7\/2*w**4. Find the third derivative of q(x) wrt x.\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -16 - 1\/1 - -1. What is the common denominator of 5\/x*3*10 and -59\/7?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-372)*(-19728)\/1644?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 55*u**3 - 283*u - 27292 wrt u.\nAnswer: 165*u**2 - 283","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136)\/sqrt(8)*-6)**2 - (-3*sqrt(187))\/sqrt(11).\nAnswer: 3*sqrt(17) + 612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*a + 32*a = -2*n + 2, -4*n = a - 24 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2230.0617 months to centuries.\nAnswer: 1.85838475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1062 + -247. Let j = -425 + o. Let g = j + -386.31. Round g to one dp.\nAnswer: 3.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2544738681 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/27 >= 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -8571894, -17143784, -25715674?\n\"Answer: -8571890*q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000024468 rounded to 7 dps?\nAnswer: -0.0000245","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 219288 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oob when three letters picked without replacement from lvvobllvbblvbblov?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/5 (b) 9 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((0 + (sqrt(891) - (1*sqrt(891) + sqrt(891) + sqrt(891))))*-5)**2.\nAnswer: 89096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 143998397?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -190*j + 9254 = 3364 for j.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 100838?\nAnswer: 2, 127, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 110 and 41.92296.\nAnswer: 4611.5256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.5 + -10.6. Let g = o + -1.9. Let k = g - -11. Sort k, 5\/4, -0.1 in decreasing order.\nAnswer: 5\/4, k, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2232732 divided by 8654\nAnswer: -258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 3 = 5*y, y + 0 - 7 = 2*u for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*l - 12 = 10*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 + 13*j**2 - 13*j + 16. Let i be g(12). Suppose i*s - s = 27. Suppose s = 5*x - 2*x. Let d(m) = m. Determine d(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3466 or 3470?\nAnswer: 3466","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -26.919 + -0.081. Let g = p - -26.5. Put 1, 2, g in descending order.\nAnswer: 2, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*c + 23 = -232 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10 - 2*d + 0*d + 8 + 2*d**2 - 27 + 4*d**4 + 3*d**3 + 8 to q*d**2 + k + y*d**4 + z*d + n*d**3 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qoqqkssqqsuouktkkst. Give prob of picking 3 k.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 128 and 467648.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/n**(-3\/2)*n\/(n**(1\/3)*n)*n**(1\/6)\/n*n**(2\/7) assuming n is positive.\nAnswer: n**(34\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 173 divide 20660525?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 - 9414796?\nAnswer: -9414796.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(152)*5*2)\/((-2*sqrt(64))\/sqrt(8) - (sqrt(72) - ((sqrt(72) - -1*sqrt(72)) + sqrt(72)))).\nAnswer: -15*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -65456 divided by 6666\nAnswer: -32728\/3333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 - -3. Let k = t + 9. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = b + 5*v - 110, 98 = 7*b + 106*v - 103*v for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_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))\/(z**(-1\/14)*z)*(z\/z**18)**(-22) assuming z is positive.\nAnswer: z**(5069\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 69 + 9 = -h, -t - 624 = -7*h. What is the greatest common divisor of h and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 24*s**2 + s. Is w(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2 - 18*d + 21. Suppose 2*f + 10 = -28. Let p be z(f). Solve x + 6 = 3*t - p*x, x = -4 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 - 5*b - 2. Suppose -5*u + 4*x - x + 13 = 0, -2*x - 4 = -u. Let c be (-1 - u)*(-2 + 3). Let o be v(c). Solve o = -l + 1 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40*1\/(-7))\/(((-4600)\/(-350))\/46).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4, -1, -32, 10, -3, 1 in decreasing order.\nAnswer: 10, 4, 1, -1, -2, -3, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17.31 - -0.06. Let t = d + 0.25. Let z = t - -17.000036. Round z to 5 decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 2*k**2 + 24628340*k - 24628342 = 0.\nAnswer: -12314171, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2. Let g(q) = 5*q**2 + 7*q - 6. Let a(x) = -g(x) + 6*w(x). Suppose 5*d + i - 28 = 0, d + i + 1 - 5 = 0. What is a(d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 296.99ml?\nAnswer: 0.29699","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence po when two letters picked without replacement from onpon?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1026646 divided by -38\nAnswer: 27017","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 2:04 AM?\nAnswer: 1:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1111076 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3\/4, 0, -1\/12, 224, -7\/4, 5\/3?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -206025 = -18*i - 60963. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*v + 153 + 39. Let o(i) be the third derivative of -i**6\/120 - i**5\/4 + 5*i**4\/8 - 5*i**3\/3 - 2*i**2. What are the prime factors of o(v)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 56 + -50 + (-2 - -2 - (3 - -3))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 82867985 + -55339423. Let n = 27528563.39999992 - u. Let g = n + -1.4. Round g to seven decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of -23*a**6\/6 + 4*a**2 - 32. What is the second derivative of h(s) wrt s?\nAnswer: -460*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -39611.6274 * -4.\nAnswer: 158446.5096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 336 = 188. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 3*q + 168 + 8993 = 0, -4*q = x - 4588. List the prime factors of x.\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.01, 14, 0.1?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 27\/2 of a second?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -15 - -96a24?\nAnswer: 96a0e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -172 + 166. Let o(d) = -53*d - 304. What is the remainder when 26 is divided by o(l)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: c8c7 (base 15) to base 13\nAnswer: 16453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 212*z = 202*z + 100. Solve g - z = -g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 6, h: 2, g: 2, c: 2}. Give prob of sequence hvcg.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 2 + 6 = 0, -2*v + 32 = p. Let k be (2 - 1\/(-2))*(v + -16). Let g(h) = -h - 4. Let u be g(-5). Which is smaller: k or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from {q: 6, k: 1, v: 12}.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of -5*n**4\/4 + 700*n**3\/3 + 287. Find the third derivative of r(h) wrt h.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19298348801 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 846, 828, 806, 786, 774, 776, 798, 846?\n\"Answer: o**3 - 8*o**2 - o + 854","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from {i: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 146 + -146. Put -2, b, 4, -5 in descending order.\nAnswer: 4, b, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5 - ((-1)\/1 + 0). Let l be w + 4 + -5 - 1. Suppose 2*t = 5*z - 1005, -3*z + 877 = l*t + 248. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, k: 2, i: 4, d: 1, e: 1}. What is prob of sequence dd?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 PM and 12:02 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eebb when four letters picked without replacement from rebebbi.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -127, -113, -81, -25, 61, 183, 347, 559?\n\"Answer: s**3 + 3*s**2 - 2*s - 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + i - 8045 = 0, 3*y + 18*i - 14*i = 4844. What is the smallest common multiple of y and 14?\nAnswer: 11256","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 34, 176, 430, 802, 1298, 1924, 2686, 3590?\n\"Answer: d**3 + 50*d**2 - 15*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 4.9, -0.2, 4\/19 in descending order.\nAnswer: 4.9, 0.4, 4\/19, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (8\/((-680)\/(-357)))\/(-10 + 1106\/110)\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 2436273?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 15*l - 43*l + 11*l + 18*l. What is q(-4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 62 in 0, 3, 0.042?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 7 = -4*s - 4, 4*b - 10 = -s. Suppose b = n - 12. Let l = -68 - -157. What is the remainder when l is divided by n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -206.856 rounded to the nearest ten?\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.1, 0.5, -3, -112 in descending order.\nAnswer: 0.5, -0.1, -3, -4, -112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1301 to 3 dps.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/12 + (-91)\/(-156)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -2*t**5 + 704*t**4 + 18674*t**3 + 66184*t**2 + 63336*t = 0.\nAnswer: -21, -2, 0, 377","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 5*m + 3000 = -3645, k + 5*m - 6615 = 0. List the prime factors of k.\nAnswer: 2, 3, 5, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 554124 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -606*w**2 - 231*w - 683. Let x be o(-39). Round x to the nearest 1000.\nAnswer: -913000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 3 - 1. Let s be (2 + 27\/(-12))*-4. Differentiate g - o*g**2 - g + s + 5*g**2 wrt g.\nAnswer: 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1469 = -6*k + 265. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -153*f**2 - 211*f**2 + 659*f**2 - 152*f**2 - 144*f**2.\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2 - y - 1. Let k(r) = 3*r**2 - 26*r - 31. Let c(j) = -k(j) + 2*x(j). Calculate the smallest common multiple of 7 and c(25).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1271317 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 11*q + 4. Let n(g) = 2 - 21*g - 19*g + 26*g + 35*g - 15*g. Determine -5*n(k) + 3*z(k).\nAnswer: 3*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/2 in -4, 2, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 PM and 1:36 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000163066 to seven dps.\nAnswer: 0.0001631","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3256 - 1847. Suppose 5*u - 36 = -5*w + l, -2*u + 1156 = 4*w. Does 5 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2741 is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -30 + 33. Suppose -2*k + b*k = -44. Is (-1)\/(2\/(-10) - k\/240) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -20*h**3 - 31*h**2 - h + 11. What is the units digit of i(-13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/25 of a meter?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**2 + 0 + 0)*(-26000*p + 34742*p - 17420*p).\nAnswer: -17356*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4447015*o - 1209284 with respect to o.\nAnswer: 4447015","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5355.623 rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-12)\/(-20))\/(1\/5). Which is the third biggest value? (a) -2 (b) y (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 275 - 135*i**4 - 275 + (5*i**2 - 3*i**2 + 0*i**2)*(3*i**2 + 5*i - 2*i - i**2) as z*i + k + j*i**2 + b*i**4 + p*i**3 and give b.\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/((-5)\/(-15)*6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/(48\/9) - 558\/(-90))*45\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uzouuhp. What is prob of picking 1 h and 1 o?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19072 is divided by 1193?\nAnswer: 1177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -38 in -50\/11, 1, 125?\nAnswer: -50\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 + -13.12. Let r = o - -1.32. Let k = 3.8 + r. What is the third smallest value in 1, -0.3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -151b4a (base 12) to base 9.\nAnswer: -602154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 301 and 742?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6635058.93 rounded to the nearest one thousand?\nAnswer: -6635000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -2*o + 8984, 5*o + 2*v - 22504 = v. Round o to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(605) - (-5 + (sqrt(605) + 5 + sqrt(605))**2).\nAnswer: -2440 - 209*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 5*p = 160, -2*f + 200 = 5*f + 3*p. Solve -27 - 25 = -f*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -43*f**2 - 35*f**2 + 129*f**2 in the form u*f**2 + b + g*f and give u.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 5:45 AM?\nAnswer: 3:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18ddb6 (base 16) to base 12.\nAnswer: -66709a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 13*p**2 + 217*p - 1. Let i(q) = -43*q. Determine a(h) + 5*i(h).\nAnswer: 13*h**2 + 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*i**2*u**3 + 2*i**2*u - i**2 + 1396*i*u - 42898*u**4 wrt u?\nAnswer: 24*i**2*u - 514776*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of 0*z**3 + 0*z**4 - 2\/105*z**7 + 0 + 1\/25*z**6 - 1\/50*z**5 + 6*z + 0*z**2. Find b, given that n(b) = 0.\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00015910169099 to seven dps.\nAnswer: 0.0001591","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 187735290.\nAnswer: 2, 3, 5, 389, 16087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -165 - -185. Calculate the remainder when 76 + (3 - (2 - 1)) is divided by s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of 0*k**2 + 0*k**5 + 0*k + 1\/9*k**6 + 4 - 1\/6*k**4 + 0*k**3. Factor q(j).\nAnswer: 2*j**3*(j - 1)*(j + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-105)\/(-35) + (955 - 6\/(-2)). What is the greatest common factor of w and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14 + 59. Is 3 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*j**3 + 45*j**3 - 2*j**3.\nAnswer: 6*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11053130?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 328095664?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3*5\/1 - -2. Calculate the greatest common factor of 119 and k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w + 24 + 46*w**3 - 24 + 3*w.\nAnswer: 46*w**3 + w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1317713, -1317744, -1317773, -1317800, -1317825, -1317848?\n\"Answer: f**2 - 34*f - 1317680","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 24 + 34137*f**3 + 3*f**4 - 33471*f**3 - f**5 - f**4 - 12*f**2 + 2*f**5 wrt f?\nAnswer: 60*f**2 + 48*f + 3996","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 6*n - 20. Let c be (5\/n)\/(3\/48). Suppose -19 = -7*f + 4*f + c*t, -20 = -3*f + 5*t. Solve -3*q = -8*q + f for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5, -19, -2\/7, 0.24, 3?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 186333 and 133.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8054)\/(-6) - 16\/48. Suppose -11*x = 209 - d. Suppose 5*s - 83 = w + w, 5*s = -3*w + 63. What is the remainder when x is divided by s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127*m**2 - 2067*m\/2 + 140 = 0. What is m?\nAnswer: 35\/254, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w + 5*y + 20 = -2*w, 32 = 5*w + y. Suppose i + 179 = 4*t, -w*t + t + 4*i = -232. What is the least common multiple of 28 and t?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 8702?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.5859*5.\nAnswer: 17.9295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m**2 - 49848406202*m + 49848406202*m.\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*m**2 - 35*m**2 - 28*m**2 - 29*m**2 - 30*m**2 - 30*m**2 + 137*m**2.\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -91470823243 - 2352?\nAnswer: -91470825595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 340236323?\nAnswer: 7, 29, 1676041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, -3215, -101, -24.\nAnswer: -3215, -101, -24, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 3*a**2 - 6*a + 14. Let z(c) = -5*c**2 + 7*c - 15. Let w(d) = -3*j(d) - 2*z(d). Calculate w(5).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/(-15) + (1 - 30\/10)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = j + j + 7*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3 + 1)*138\/(-12). Let h = w - -48. Suppose 2*x + 0 - h = 0, 2*o - 4*x = 0. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 140305 and 3080?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 564711, 5, -11 in decreasing order.\nAnswer: 564711, 5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 40 - 28. What is the remainder when h is divided by (-57)\/(-11) + (36\/44 - 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*k + 68196 = -3*k. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -4*z**3 - 38*z**2 - 13*z + 47. Let v be x(-9). Sort v, -10, -3, -1 in descending order.\nAnswer: v, -1, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4971158?\nAnswer: 2, 2485579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -4 (b) 0 (c) 909 (d) 204 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-117)\/(-45) + 2\/5. Suppose 4*c + w*o + 0 + 4 = 0, -3*c = 2*o + 2. Let a(l) = l**3 - 5*l**2 + 4*l + 1. Let g be a(4). Which is smaller: g or c?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-40)\/580 + 1705840\/29 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 2*k = -6. Let z be (6 - 8\/2)\/(12 + (-17 - -4)). Which is the closest to z? (a) k (b) -0.1 (c) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -71 - -134. What is the common denominator of ((-1)\/(-12))\/(8\/(-1712)) + 2 and ((-26)\/(-3))\/(12\/u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21 + 15. Let w = y + 29. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + -0.9. Let f = 455 + -814. Let l = 359.5 + f. What is the second biggest value in 4, l, h, -0.1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -15*z**2 - 55*z - 141. Determine q(-3).\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 116297147 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.742, 56, 0.3, -1\/6?\nAnswer: -0.742","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 47 - 42. Solve 25 = 5*f - h*c, -4*f + 23 = -5*c - 0*c for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -274 at least as big as 1\/767029?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 3*q + 7*q - 10 = 0, 0 = -4*u + 3*q - 8. Calculate the remainder when (6 - (-117)\/(-12))*10*u is divided by 27.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -1\/1904?\nAnswer: -1\/1904","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14383 + 14386. Suppose -6*a - 5*q = -a + 10, -3*q = 15. Let r(z) = 0*z**3 + 3*z + 3 + z**a - 2 - 4*z**2. Determine r(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5789.155mg to tonnes.\nAnswer: 0.000005789155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -136.964 or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -247*t**3 - 4908*t**3 + 446*t**3 + 0*t**3 + t**3 + 0*t**3 + (-2 + 2 + t**2)*(3*t - t - 4*t).\nAnswer: -4710*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 436*a. Let i(n) be the first derivative of -2*n**3\/3 + 84. What is i(y(q))?\nAnswer: -380192*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g. Let m be b(-5). Suppose 6*t - m = 5*r + 2*t, t = 4*r + 15. Let q(a) = 24*a - 1 - 16*a - 11*a. Let w(h) = -6*h - 3. What is r*q(c) + 2*w(c)?\nAnswer: 3*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24 - -36. What is the remainder when o is divided by ((-10)\/(-3))\/((-10)\/(-15))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.06543 * 1.\nAnswer: 0.06543","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4346.963 + 4344. Let w = -0.037 + i. Which is the nearest to 1\/3? (a) 0 (b) w (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7124 + 7135. Calculate the greatest common factor of 12133 and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 835 is divided by 93.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 - 2*(-4 + 3 - 0). Let b = 0.02 - 0. Let l = 5\/3 + -44\/21. What is the closest to -1\/3 in w, l, b?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2168 - -3120. What are the prime factors of p?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4392 = -157*n + 180*n + 99*n for n.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 323c - 848?\nAnswer: 26c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -92 (b) 0.084 (c) 0 (d) 2\/11 (e) -247 (f) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, v: 1, s: 6, x: 1, z: 4}. Give prob of sequence vs.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 AM and 12:22 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-2)*104\/546?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3762)\/12825)\/(6\/45)?\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 35\/105 - (1 + 8\/(-18)). What is the closest to b in 0.2, -0.7, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -126697 at least as big as -126696?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -1. Let b(m) = -4*m - 4. Let o = 544 - 545. What is o*b(n) + 4*k(n)?\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -52365972280 - -42\nAnswer: -52365972238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 192 = -0*s + 3*s. Suppose 0*q = -2*q - s. Let f = q + 51. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 + 16)\/(-24) + (-36)\/(-63).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39\/(-168) + 207\/552.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 6.19055ug?\nAnswer: 0.00000000619055","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, y: 3, n: 3, l: 5, e: 2}. What is prob of sequence epl?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + 8 + 3 + -6. Suppose 3*g + p = 50. Solve 4*k + k - g = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-14)*(2\/(-10))\/(-23*34\/150535).\nAnswer: -55\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*f**4*p**2 - 11*f**2*p**2 + p**2 - 136 wrt f.\nAnswer: -28*f**3*p**2 - 22*f*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 + 0.89547279165338.\nAnswer: 2.89547279165338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1279 and -103.\nAnswer: -131737","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 952097 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 180, 303, 494, 741, 1032, 1355, 1698?\nAnswer: 2049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - m - 4 = 0. Let y(f) be the first derivative of -5*f**4\/4 + f**3\/3 + f**2\/2 + 4. Let r be y(-1). Solve -m*g + 6 = -r*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d + 45 = -88. Which is the closest to 0? (a) d (b) -0.5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.797 + -0.742. Let t = 2.681 - 2.7. Let v = o + t. Round v to two dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -128792464 divided by -4\nAnswer: 32198116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 45051 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -2*x - 42, -4*v + x = 5*x - 24. Suppose 18 = -3*l + v. Let k = -1 + l. Which is the nearest to -0.5? (a) k (b) 1\/2 (c) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g. Let q(x) = -3. What is q(h) - t(h)?\nAnswer: h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:59 AM and 3:43 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30057.\nAnswer: 3, 43, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3111\/(-1098) - -3*7\/(-6).\nAnswer: -19\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 52\/161896563 and 79\/515430.\nAnswer: 1618965630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 PM and 3:21 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 638017.506 seconds?\nAnswer: 1.054923125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1656*i**4*r**2 + 4*i**2*r**2 + 2*i*r - 5707*r**2 wrt i.\nAnswer: -19872*i**2*r**2 + 8*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00042851 to five decimal places.\nAnswer: 0.00043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - 3. Suppose 2*f + 3*f = z. Let o = 2 + f. Calculate the highest common factor of 8 and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -149015\/12 + 12410. What is the common denominator of p and 55\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/3 (b) -1 (c) 0 (d) 5 (e) 4 (f) -2\/126985\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of -31*c**3\/3 - 18*c**2 - 51*c - 51. Let a(b) be the first derivative of l(b). Differentiate a(o) wrt o.\nAnswer: -62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10\/1*5\/(40\/76). Suppose -4*g - 54 = -2*h, 7*h - 2*h = 2*g + u. Suppose 61 = 11*t + h. Put 2, -1, -3, t in decreasing order.\nAnswer: t, 2, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5290 and 3136970.\nAnswer: 3136970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*l - l - 3 + 24*l - 165*l + 36*l in the form h + b*l and give b.\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*h + 34*h - 5*l - 21 = 0, 4*h + 3 = 3*l for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 420687168?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 + 42*o**2 - o + 47. Let r be y(42). Which is the nearest to -5? (a) r (b) 7 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**4 + 0*g**4 + 3*g**4)*(2 - 2 - 4) + (-g**3 - 2*g**3 + g**3)*(9*g - 7*g + 9*g).\nAnswer: -30*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 220 >= 498?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/50, -1\/4, -20\/23, 2.7?\nAnswer: 2.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 - s**2 + s + 21. Let k be (-1 + 1)\/(1 - 0). Let u be o(k). Calculate the greatest common divisor of u and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -179, -192, -211, -236?\n\"Answer: -3*z**2 - 4*z - 172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 914 is divided by 151.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74 is divided by 30?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4892 - -17497. Does 71 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3139*j**4 - 385?\nAnswer: -12556*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3280*j**2 + 3280*j**2 - 34*j**3.\nAnswer: -34*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 10*i**2 + 3*i + 15. Let a(g) = 7*g**2 + 2*g + 10. Let z(t) = -3*t**2 + 15*t - 11. Let b be z(2). What is b*a(f) - 5*l(f)?\nAnswer: -f**2 - f - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/377 and ((-10)\/351)\/(-3 - 105\/(-36)).\nAnswer: 3393","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3045239 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z + 1. Let k be v(8). Solve -8 = 3*c + h, -k*c - 5*h - 30 = -4*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -592 = 261*v - 376*v - 2547 for v.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a - a?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**2 + 60651835*u + 60651830.\nAnswer: 5*(u + 1)*(u + 12130366)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(153)*-1 + 0)*-4)**2*3.\nAnswer: 864*sqrt(17) + 7776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*z**2 + 26*z**2 + z**2 - 2 + z**2 + 2 + (z + 2*z - 2*z)*(5*z - 3*z - 4*z) + 3*z**2 + z - z - 5*z**2 + 3*z**2 + 4*z**2 + 0*z**2 + 0*z**2 - z**2.\nAnswer: 33*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + 13 + -15 + -13 - (2 + -1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4182480 and 9294400.\nAnswer: 83649600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (14 - 11) + -18?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (2\/8*2*-2)\/((-42)\/(-378))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**2 + 28550*n + 85605.\nAnswer: 5*(n + 3)*(n + 5707)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2455\/484 + -3\/3388. What is the common denominator of r and -15\/14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -232*m + 5331. Give q(23).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -27 - -7. Let h be (1\/6)\/(v\/(-15)). Which is the biggest value? (a) 0.5 (b) -0.2 (c) h (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7514 and 78.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - (-6 + -6 + 13)) + 3 - 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 10, 12, 28, 64, 126, 220?\n\"Answer: n**3 + n**2 - 8*n + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaaaaaaaazaa. Give prob of picking 2 a and 1 z.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70*q + 74*q - 266*q + 63*q + 90*q + 127*q.\nAnswer: 158*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -4739515 (base 11) to base 15\nAnswer: -ad5619","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8 - 2\/(-3 + 1). Let i = t + -4. Let p = 20346 - 20323. Calculate the remainder when p is divided by i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -232 + 4?\nAnswer: -225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 850*k**3 - 20*k**2 + 5*k. Let r(s) = -1275*s**3 + 32*s**2 - 8*s. Give -8*h(d) - 5*r(d).\nAnswer: -425*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 - -131 - (-24 - -83)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pppr when four letters picked without replacement from {p: 3, r: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-5\/3))**(15\/4) assuming l is positive.\nAnswer: l**(-25\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 3*q**4 + 3051*q**3 - 629811*q**2 + 29786757*q = 0.\nAnswer: -1199, 0, 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of t**3\/3 - 3*t. What is the lowest common multiple of (-4)\/(-8)*-2 + (18 - -1) and a(6)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 h when two letters picked without replacement from {h: 16, p: 2}.\nAnswer: 32\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 9*v**2 - 5*v. Suppose -8 = 4*b - 0. Let n(s) = 2*s**2 + 6*s. Let m(u) = -u. Let p(g) = -14*m(g) - 2*n(g). Calculate b*l(c) - 5*p(c).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 - 11*r - 19. Suppose 10*a = 11*a - 13. Let f be z(a). Suppose k = 5, 0 = 4*y - 2*k - 0*k + 10. Solve 0 = -3*n + 2 + f, c - 3*n + 4 = y for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -5*y + 18. Suppose -c + h + 6 = -0*c, 4*c - 2*h - 30 = 0. Let x be 3\/c + (-14)\/6. Put x, y, -4 in descending order.\nAnswer: y, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2\/7, -0.1, 780?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v - 2 + 3*v - 4*v + 9 - 4*v - 9 + v - 2*v + 0*v + (0 + 0 + 2)*(0*v + v - 2*v).\nAnswer: -6*v - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*v - 19925 = 92*v - 2270. Let t be -2 + (-4)\/(-2) + -164. Is t >= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14441 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (1050\/(-77))\/(-3)*(-5786)\/1052\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -6*s + 186*s**3 - 187*s**3 - 294 - 5*s**2 + 288. Determine n(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g - 4*g + 0*g)*(-5 + 5 - 5) + 6949 - 204*g - 6949.\nAnswer: -189*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + 6*h - 7. Find the common denominator of -13\/6 and (-21)\/(-2)*h\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (4 + 745\/(-15))\/((-4)\/132) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 - 7*n**2 - 12*n + 4. Let x be w(-5). Suppose -3 = -h, -c - 5*h + x = -22. Let d = c + 127. List the prime factors of d.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 392 - 395. Which is the nearest to -1? (a) 5 (b) h (c) 0.2 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, -1\/7, 0.41, -0.3?\nAnswer: 0.41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 - (6\/(-3) - -1). Suppose 4*a = 20, 3*i - d*a + 6 = 2*i. What is the smallest common multiple of i and 30?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3339 and 24003?\nAnswer: 1272159","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m - 7. Let w be y(10). Suppose -526 = -w*b - 79. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 355\/35 + ((-32)\/(-56))\/(-4). Calculate the highest common factor of n and 116.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*q - 36 + 2 = 0. Let b(g) = 17*g**3 - 4*g**2 + 4*g - 4. Let r(f) = f**2 - f + 1. Let t(d) = b(d) + 3*r(d). Give t(q).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 9*n**3 - 23*n**2 - 29*n - 19. Let m(i) = 5*i**3 - 12*i**2 - 15*i - 10. Let w be (-287)\/49 + 2\/(-14). Let x(v) = w*t(v) + 11*m(v). Factor x(o).\nAnswer: (o + 1)**2*(o + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 185 and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(-3))\/((p**(2\/11)\/p)\/p))\/(p**(-2\/7)\/p)**(-11\/2) assuming p is positive.\nAnswer: p**(-193\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-3))**1\/(z**(3\/7)*(z**(-2\/9)\/z)\/z) assuming z is positive.\nAnswer: z**(-76\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 + 120*w**2 + 687*w + 327. Calculate r(-114).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 - 20*w**2 + 31*w - 53. Let s be l(19). Suppose 0 = -3*m - 3 + 9, s = o - 3*m. What are the prime factors of o?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2 + s. Let g(m) = 9*m**2 - 3*m. Let i(j) = -6*f(j) - 2*g(j). Let d(n) be the first derivative of n**2\/2 - 26. Calculate d(i(l)).\nAnswer: -12*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.22 in 1, 0, 292?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j. Let k(q) = -q**3 + 17*q**2 - 16*q - 2. Let m be k(16). Let h(i) = i**3 - i**2 - 2*i + 3. Let o be h(m). Let w(l) = -l + 1. What is o*n(x) - w(x)?\nAnswer: 6*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2795015, 5590029, 8385043, 11180057?\n\"Answer: 2795014*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 78 and 182.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 + 46. What are the prime factors of m?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 592056 and 2484.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 768 is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -93808, -187624, -281440, -375256, -469072, -562888?\nAnswer: -656704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the second derivative of v**7\/252 + 5*v**6\/18 + 19*v**5\/12 + 35*v**4\/9 + 185*v**3\/36 + 23*v**2\/6 - 13*v - 5. Factor x(l).\nAnswer: (l + 1)**4*(l + 46)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-54)\/(-55) - (-4)\/(-5). Let d = 7.7 + -8. Which is the third biggest value? (a) d (b) 4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211101 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 45370 and 520?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -11*a - 65. Suppose 288 = 20*s - 36*s. Let g be y(s). Calculate the highest common factor of g and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14322330 (base 8) to base 5\nAnswer: 1313102324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-32)\/((-32)\/8) - -493. Let u = z - 493. Calculate the lowest common multiple of 4 and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3231432 (base 5) in base 9?\nAnswer: 83700","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 + 18*n - 66. Let i be s(-15). Calculate the remainder when 53 is divided by -1*9\/12 - i\/4.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 11*w - 714 = 0. Let o = w + 1328\/13. Let u be 1 - (34\/(-22) + 2). Which is the closest to -1? (a) o (b) 1\/2 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110*r - 114*r + 5858 = 3*i, 4*i = r - 1474. What are the prime factors of r?\nAnswer: 2, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36725509 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/((-12)\/(-14))*6. Suppose -3*r = 6 - f. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -228689 (base 10) to base 4.\nAnswer: -313311101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 10, k: 2}. Give prob of picking 1 h and 2 k.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -45 - (34 - 107 - -88).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 6*x - 10 = -8*x, 0 = -x + 4. What is the closest to 1 in -1\/26, a, 3?\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -656634 (base 8) to base 15\nAnswer: -4554c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -34, 1717, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 766 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 + -16. Let u = -31.27 - 0.73. Let v = u - -31.6. Which is the second biggest value? (a) t (b) v (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1\/(-7))\/(9\/(-21)). Which is the second biggest value? (a) z (b) 3\/5 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34649 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10381, -21280, -32695, -44626, -57073, -70036?\nAnswer: -83515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1111, -1158, -1205, -1252, -1299, -1346?\nAnswer: -1393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -49.9 + 48. Let p = 1.89999933 + b. What is p rounded to seven dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.4447 - 0.2147. Which is the nearest to 1? (a) 5 (b) 0 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*j**3 - 4*j**3 + 0*j**3 + (4*j**2 + 61*j**2 + 30*j**2)*(14*j + 2*j - 4*j) to the form y*j + c*j**2 + v*j**3 + k and give v.\nAnswer: 1139","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8861457.\nAnswer: 3, 11, 268529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 + -1)\/((-4)\/60). Suppose 5*s - 4*w = -w + q, w - 12 = -4*s. Solve -6*t - 10 = -2*t + 2*j, t - 5*j = s for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, w: 2, n: 2, x: 1, v: 1, e: 1}. Give prob of sequence wn.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -114, -1\/10355, 5, -2\/11 in ascending order.\nAnswer: -114, -2\/11, -1\/10355, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -51*j - 16*j - 54*j + 18*j + 112*j**3 + 115*j**3 wrt j?\nAnswer: 1362*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29392 is divided by 9752?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.262 times 0.3\nAnswer: 0.0786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15 + 10. Let l = -182 + 182. Sort -28, l, h in increasing order.\nAnswer: -28, h, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -4 + -1 + (-8 - -14) - 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.9 in -3, -2, 0.04, 2\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6223407?\nAnswer: 3, 419, 4951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 - (-5 - -2 - -4). Solve -i + 7 = u for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 611 - 191. Let b = t + -283. Suppose b + 88 = 3*m. Calculate the greatest common divisor of m and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 + 3*j**2 - 4*j. Calculate q(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(2 + sqrt(832))*1 + (4 + sqrt(832) + -1)*-6 + 1)**2*-3.\nAnswer: -161067 - 8064*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i - 6 + 11*i**3 + 0*i + 2*i**3 - i**3 + 7*i**2. Let f(l) = -l**3 - l**2 + 1. Let t(u) = -6*f(u) - k(u). Give t(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - (-200)\/(-32))\/(57\/(-24))?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -89*z**2 - 1856*z - 7940. Determine i(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4459, -4468, -4491, -4534, -4603?\n\"Answer: -w**3 - w**2 + w - 4458","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.02 - -5.02. What is the nearest to 4 in 0, k, 1\/5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -235203 and 35.\nAnswer: -8232105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19924120 is divided by 70?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 3*v - 2573, 3*x - 5*v = -x + 5151. Let z = x - 851. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (31\/62)\/((4\/310)\/((-8)\/10))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 320839444 to the power of 1\/2, to the nearest integer?\nAnswer: 17912","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3050855513 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, t: 1, u: 1, z: 1, a: 1}. What is prob of sequence zk?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, p: 1, s: 2, c: 2, l: 7, h: 1}. What is prob of sequence pdc?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2\/13 + 1523206*d\/13 + 68548320\/13.\nAnswer: -2*(d - 761648)*(d + 45)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -69, -81, -93?\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -739.66783535 - 7.\nAnswer: -746.66783535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 - 9*b**2 - 2*b + 8. List the prime factors of g(-9).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 6*q - 2*q = 20, 4*q = 3*g - 4. Let p(s) = 2*s**2 + 2. What are the prime factors of p(g)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5253 - 350 + 1130 = -213*h for h.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 4410\/980*2*10\/18*-3\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -2*s**4\/11 - 985*s**3\/11 - 7267*s**2\/11 + 3880*s\/11 = 0.\nAnswer: -485, -8, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/6 in -2\/23, -2\/5, 1\/2, -6?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 - 6*u**2 + 247*u + 9. Let h be 7\/((-7)\/(-4))*1. Suppose 0 = -x + 2 + h. What is the remainder when t(-19) is divided by x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -364*w + 88*w**2 - 262*w**4 + 150*w**2 + 364*w wrt w.\nAnswer: -6288*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.9699623 - -1.97. Round i to 6 dps.\nAnswer: 0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 228 - 213. Suppose 0*t - t = -33. Suppose -y = -w + t. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -7666, -7664, -7664, -7666, -7670, -7676, -7684?\n\"Answer: -s**2 + 5*s - 7670","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -608981, -609068, -609221, -609446, -609749, -610136, -610613?\nAnswer: -611186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/100212 and 43\/23860.\nAnswer: 501060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tpwdffp. Give prob of picking 1 d and 1 p.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -6*t**2 + 5*t - 4*t**2 - 4*t + 30 + 9*t**2. Let s be w(5). Let n = s - 22. Is -8 >= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(-4\/25)\/m)\/m)\/(m*m**28))**19 assuming m is positive.\nAnswer: m**(-14801\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -133\/3861468 and -25\/139152?\nAnswer: 15445872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((3\/(-35))\/(14538\/(-84805)))\/(2\/(-404)).\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 1) + (-11 - -13).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-103)\/5 + 3\/5. Is 8\/i - (-577)\/5 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(1\/3)\/h)**(-9\/8)*h**(1\/4)*h**0*h)\/(h**(1\/3)*h**8)**1 assuming h is positive.\nAnswer: h**(-19\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -31, -2, 1, -12, -4, 1046 in ascending order.\nAnswer: -31, -12, -4, -2, 1, 1046","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1615 (b) -31 (c) 0 (d) 2\/19 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 PM and 1:49 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/(-2)*84\/98*-1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/378 and 58\/189.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 (base 7) in base 4?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2310275075 to the nearest integer?\nAnswer: 1322","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.14 in -108, -2\/5, -4\/3, 3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 92880 and 105?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2. Let w(i) = -i**2 - 134 + 134. Give t(w(n)).\nAnswer: -n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1081 + 1084. Solve -4*j - 3*l + 7 = -2*l, 0 = -f*j + l for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-16)\/(5600\/(-14)))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + (-22 - (-17 + -3)) - (-2 + -16)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -383 - -393. Solve -19*b - 9 = -j*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 169\/16860 and -7\/72.\nAnswer: 101160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*s - 69*s = 12. What is the third derivative of -14*r**6 + 590 + r**2 + 52*r**s - 579 wrt r?\nAnswer: 4560*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 169.45225 to one decimal place.\nAnswer: 169.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 7250, 7248, 7254, 7274, 7314, 7380, 7478?\n\"Answer: o**3 - 2*o**2 - 3*o + 7254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00005585551 rounded to six dps?\nAnswer: -0.000056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 170 = l + 158. What is the highest common divisor of l and 147?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 6\/18977 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaa when three letters picked without replacement from {a: 5, m: 2}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 554648138?\nAnswer: 2, 11, 509, 49531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 58201.7 centimeters in nanometers?\nAnswer: 582017000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 71095?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 22\/337 in 49, -3, 0.1, 3, -0.5, 3\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -111 (base 5) to base 9\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (7 - 6 - 3)*(2 + 2 - 6)*(78*w**4 + 198*w**4 + 31*w**4)*(-1 + 7 - 3) as c*w**4 + d + n*w**3 + p*w**2 + v*w and give c.\nAnswer: 3684","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 + g - 15 + 2*g - 8 + 39.\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3146500 divided by -1798?\nAnswer: 1750","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -79, -169, -251, -325?\nAnswer: -391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (0 + 0 - 3 - -4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0099569566 to four dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -89*c - 112*c + 198*c. Let w(a) = -2*a - 6. Let t be w(-4). Let f(d) = -d**2 + 3*d**2 + 0*d**t. Determine v(f(x)).\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a centimeter in micrometers?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2*s**3 + 6*s - 147. Let l(h) = 2*h**3 - 7*h + 147. Calculate 7*k(u) + 6*l(u).\nAnswer: -2*u**3 - 147","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 56 or 1213\/22?\nAnswer: 56","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 7*w - 3*w, -3*w + 9 = 3*c. Let a be (-3)\/c + 1\/(-4). Let i(u) = -6*u. Is 6 a factor of i(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4527691?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 7*f**2 + 18*f - 7. Let q(k) = -14*k**2 - 37*k + 14. Let j(u) = 4*q(u) + 9*z(u). Is 17 a factor of j(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 170506008 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -r - 2*c + 19, 0 = -4*c. Let f = -58 - -81. Let q = r - f. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.07 + 1.07. Let f = -192 + 200. Which is the closest to w? (a) 1 (b) 3 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2 + 3*o + 2. Let z be f(-3). Suppose p = -z*p. Differentiate p - 4*j + 3*j - 7 + 0 wrt j.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000029506 to six decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 + w - 4. Suppose 7*v - 9*v = -z - 7, -2*z - 8 = 2*v. Let t(g) = -g**2 + 3*g + 3. Let s be t(4). Let j be (1 - v)\/(s + -1 + 3). Determine c(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93*v + 560 = -69*v - 256. Solve 23*g = v*g + 11 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 3*x + 15 = 0, -5*r - 4*x = -5 + 25. Suppose 3*w - 4*w + 9 = r. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 + 20. Determine i so that 86 - 86 - 5*i**2 - a*i = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppppuup. What is prob of picking 2 p?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 10 = -8*v + 4*v, -3*v + 66 = -4*o. Let z(g) = -g**3 - 17*g**2 + 19*g + 20. What is z(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -7*k**2 + 0*k**3 - 4 + k**3 + 12 + 7*k. Calculate the remainder when h(6) is divided by 1\/((-3)\/60*-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/((-2)\/(356\/(-3))). Suppose -2*n - 4*z + r = 0, -2*n + 4*z + 178 = 3*z. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o - 25795 = 2*o. Suppose -57*m + o = -52*m. What are the prime factors of m?\nAnswer: 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 159*f**3 + 39*f**2 - 9*f.\nAnswer: 954","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/148 and 101\/48?\nAnswer: 1776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -195989\/1040 - -109638327\/668720. Let h = -9012 + 5794715\/643. Let p = z + h. Find the common denominator of p and 11\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 less than 5068?\nAnswer: 5073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 12 - (-16 - (-22 + -14))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/53748 and 127\/17916.\nAnswer: 53748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b = 10*b - 2227. Let o = b + 16. What is the remainder when o is divided by 47?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a + 7956 = -6364. List the prime factors of a.\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4301, 33, 2, -4, 5, 4 in decreasing order.\nAnswer: 33, 5, 4, 2, -4, -4301","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-12) - (-1564)\/6. Let m be 8\/10*42\/24*-10. Let h(d) = 2*d + 57. Let c be h(m). Calculate the highest common divisor of c and r.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1433855\/35123 + -18\/3193. Let i = -41 + b. Let q = -63\/10 + 179\/30. Which is greater: q or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13342*v**3 - 6698*v**3 + 2*v**2 + 1559*v**3 - 8854*v**3 - 3*v + 0*v.\nAnswer: -27335*v**3 + 2*v**2 - 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -43*n**2 + 81*n + 1. Determine a(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -22517364 divided by 5\nAnswer: -22517364\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 13*m. Let r(f) = -1413327*f. Give z(r(o)).\nAnswer: -18373251*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 + 9. Suppose i*t + 0 = 6. Suppose -3*c + 5*u + 593 = 0, 529 = 3*c - t*u - 56. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26376787?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 71*408\/852?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.067120206 to four decimal places.\nAnswer: 0.0671","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 101814 divided by 4?\nAnswer: 50907\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37897 = -x + v + 11288, 7*v = -x + 49193. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + 10000110010010011001000?\nAnswer: 10000110010010011001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10315524 is divided by 31354?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*p**(-2\/11)))\/(p\/(p**(1\/7)*p)))\/((p**(-1\/3)\/p)\/p)**(1\/46)*(p\/(p*p**1))**(-28)\/(p\/(p*p*p**1*p))**(-30\/11) assuming p is positive.\nAnswer: p**(19507\/966)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 1190?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(38)\/(sqrt(2) + (sqrt(2) + sqrt(2) + sqrt(2)*2 - sqrt(2))) - (-5 + (sqrt(19)*1)**2) - (-2 + (-1*sqrt(2299) - sqrt(2299)))**2) + -3.\nAnswer: -9219 - 351*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-56)\/14 - (96\/(-15) + 3)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1161718.\nAnswer: 2, 580859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5699 + -5687. Solve 24 = -4*o, -8 + a = 2*t - 2*o for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 925175969 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.3 - -0.4. Suppose -4*p = -4*z - 12, p + z + 3*z - 3 = 0. Is g >= p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f. Let w(m) = 3*m + 27. Let i(t) = 4*n(t) + w(t). Let d be i(11). Suppose -12*z - 24 = -d*z. Solve -b + 8 = -j + z*j, -2*b = 2*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -44124 + 200765. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -5*n + 12, 5*f - 4*n = -15 - 5. Let t be (-3)\/(-6)*f\/(-5). Which is the closest to 0.1? (a) t (b) 2 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 6 - 1)*(-1 + 1 + 2)*(1 - 4 + 5 + (3 - 2 - 2)*(-1 - 3 + 2) + 0 - 2 + 1)*(2*c**4 - 4*c**4 + 4*c**4).\nAnswer: 72*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/2 and (-1)\/8*6 + -12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2001021100 (base 3) to base 16\nAnswer: -9d65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 184 (base 13) to base 14.\nAnswer: 15b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 551017, 1102041, 1653065, 2204089?\n\"Answer: 551024*y - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2347133950.\nAnswer: 2, 5, 7, 67, 101, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 364 - 358. Solve c*h - 5*i + 8 = 3*h, -2*h = -5*i + 12 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 14 + 89 = 0. Let f = j - -140. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 994 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -17d (base 16) to base 11\nAnswer: -317","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.9 - 9.9. Let g = 13 + t. Suppose 2*n = 6*n. What is the nearest to n in 0, g, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (37 + -30 + 1 + 0 + -8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do -1.4 and -1768.51 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*k = 13*k - 8 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 266 is divided by 46?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2446610 - -4?\nAnswer: 2446614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 15 = w + 3*p, 3*w = -4*p - 20. What is the third derivative of -6*t**2 + w*t**2 + 3*t**4 + 8*t**2 wrt t?\nAnswer: 72*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 - 33*y**2 - 367*y + 12771. Calculate m(27).\nAnswer: -1512","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 5*t + 8 = 3*t, 3*x = -2*t + 13. Suppose 0 = 6*o - o - 15, -x*g = -2*o - 3195. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19748695 is divided by 280?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 25, -2\/3, 52?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*o - 80*o**2 - 73*o**2 + 2*o**4 + 12*o**3 + 148*o**2 wrt o.\nAnswer: 48*o + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 - 0. Let r(b) = -b - 6. Let j be r(s). Suppose 5*k + 25 = 3*q, 2*q - j*q = k + 5. Let h(o) = o**2 - o - 5. Determine h(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -208*t + 61. Give d(4).\nAnswer: -771","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 6.501, -4\/13 in descending order.\nAnswer: 6.501, -4\/13, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nyt when three letters picked without replacement from annyynlnlttnanantya.\nAnswer: 7\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.245551 less than 2.8698?\nAnswer: 3.115351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15453, 61833, 139133, 247353, 386493?\nAnswer: 556553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62869 - 2*z - 62869.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-5)\/u*u*u*u**(1\/5)*u*u**5\/(u**(-1\/2)\/u))**(-5\/4))**45 assuming u is positive.\nAnswer: u**(-1665\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1044061.\nAnswer: 67, 15583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1364754259 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 12:53 AM?\nAnswer: 12:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**5 + 11*z**4 + 26*z**3 + 2*z**2 - 25*z - 13.\nAnswer: -(z - 13)*(z - 1)*(z + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 95552270 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 + 4309979\/21 + 8\/24. Let v = 204006 - y. Let z = v + 1225. Calculate the common denominator of 99\/8 and z.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 95 = 4*u. Let x = u + -10. Let b be (-21 + x)*(-5)\/4. Solve 4*r = -r - b for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/6)\/(15\/6).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 302719851?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**2 + 3*s + 8. Let b be m(0). Let z be (2\/b)\/(3*3\/72). Find x, given that -1\/9*x**z - 1\/9*x**3 + 1\/9 + 1\/9*x = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -493.22 - -489. Let o = 0.58 - b. Let n = o - 7.4. Round n to 0 decimal places.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*r**(-18)))**(2\/61) assuming r is positive.\nAnswer: r**(36\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2 + 5*t + 20. Let j = -47 + 56. What is the common denominator of -63\/2 and c(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -20*d - 15*d + 6*d**3 + 49*d - 10*d**2 - 3. Let l be g(5). Calculate the greatest common divisor of 21 and l.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 88.504 - 89. Let i = v - 2.574. Let g = 0.07 + i. Which is the third smallest value? (a) 0.02 (b) 0.3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 2*b - 2654, 7*b - 3*b = -h + 894. Suppose -h - 831 = -l + 3*o, l - 2*o - 1720 = 0. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1602 divided by 1330?\nAnswer: -801\/665","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 2:16 PM?\nAnswer: 1:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 813*f**3 - 34684*f**2 + 104029*f**2 + 514*f**3 - 34672*f**2 - 34673*f**2.\nAnswer: 1327*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d - 21 = -147. What is the nearest to 0.1 in -1\/5, d, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**2 - 2*q - 2. Suppose -3*a - 6 = -5*a. Let z(l) = -4*l - a*l + 0*l**2 - 4*l**2 - 7. Let m(r) = 14*y(r) - 4*z(r). Let n(o) = o**2. Give m(n(x)).\nAnswer: 2*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -117, -92, -67?\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*4*56\/(-1120)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*x + 240 - 240 + (-x + 2*x - 2*x)*(-1 - 4 + 3))*(1 - 3 + 3)*(-3*x**2 - 2*x**3 + 3*x**2).\nAnswer: -34*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 45 and 60.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -24 (b) 2 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/10260 and -157\/384750.\nAnswer: 769500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30 - -12) + 30 - 4) + 53.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 888 + -937. Find the common denominator of (231\/n)\/(-9 + 6) and -2 - (178\/(-12) - -2).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:36 AM and 2:21 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -554.07297789608 and 0.3?\nAnswer: 554.37297789608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 + 18*i**2 - 23*i + 27. Let x = 12 + 5. Let z = -2 - x. What is the hundreds digit of a(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -4966, -7089, -9216, -11353, -13506, -15681, -17884?\n\"Answer: -y**3 + 4*y**2 - 2128*y - 2841","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2967 + 5933 - t**2 - 2970 - t**3 - t + (3 + 2*t - 3)*(2*t**2 - 2*t**2 - 4*t**2).\nAnswer: -9*t**3 - t**2 - t - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 43818.7mg in micrograms?\nAnswer: 43818700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -451 + 944. Let u = t + -493.2. Which is the nearest to 0? (a) 0.5 (b) u (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t + 1. Let g(r) = 4*r + 1. Calculate g(i) - 5*y(i).\nAnswer: -i - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -432208 divided by -8.\nAnswer: 54026","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -2*o + 6. Let h be o\/(-1 + -2) - -1. Which is the third smallest value? (a) -2 (b) h (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 5*o**2 + 5*o - 24. Determine k(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 26 + -8 + 10 + (3 - 6)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 4*d = 10, -12*j - 10 = -17*j - 3*d. Suppose j*c + 2*z = 89194, 3*c - 11683 = 3*z + 122126. Round c to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8997139?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3370413*4.\nAnswer: -13481652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 PM and 9:26 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4 - (-12)\/(-4) - 8. Let c(m) be the second derivative of m**4\/12 + m**3 - 7*m**2\/2 - 2*m. Let y be c(p). Solve y = -0*r - 3*r + 15 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 56 and 1680.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5946 rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -28 or 131110?\nAnswer: 131110","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*k = 100 - 39. Sort -116, k, -41 in decreasing order.\nAnswer: k, -41, -116","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 - 6*b**2 - 4*b. Let o(n) = 2*n**3 - 5*n**2 - 5*n. Let k(f) = 5*c(f) - 4*o(f). What is the third derivative of k(p) wrt p?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 242 - -238. What is the hundreds digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 95 or -25\/19?\nAnswer: -25\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5822599 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -p + 120, 4*v = p + 97 + 383. Suppose -z + 33 = -v. Suppose -3*l = -5*a - 71, 6*a = 9*a + 12. What is the highest common factor of l and z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w. Let h(v) = -4*v - 9. Let n(a) = -h(a) - 3*q(a). Let l be n(6). Suppose 11*r + 148 = l*r. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vhe when three letters picked without replacement from ivhexvn.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (1248\/60 - 7) + -13?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 - -17. Let j(m) = 2*m**2 + 2*m - 2. Let l be j(-2). Let i = -1 + l. Is t less than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, 1.33, 0.3, -2.5, -11\/7, -4, 0?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -2*o. Let k(j) = -1422*j + 2. Give k(c(a)).\nAnswer: 2844*a + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -385450 by 25.\nAnswer: -15418","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-2 - (-38)\/18). Let o = n - -9. What is the nearest to o in 3, -1\/11, 1\/3?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -4*t**2 + 34*t + 4. Let w be v(9). Let h(x) = -2*x**2 - 7*x + 2. Let i be h(-5). Which is smaller: w or i?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1584, -9, 58, -2, 4, -27, 3 in increasing order.\nAnswer: -27, -9, -2, 3, 4, 58, 1584","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - 751990.84.\nAnswer: -751998.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(24)\/(sqrt(8)*-2) - (sqrt(432) + -3*sqrt(432))**2 - (sqrt(15)\/sqrt(20) - sqrt(9)\/(sqrt(21)\/sqrt(7)))).\nAnswer: -1728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = 4*o - 70. Let b(l) be the second derivative of -2*l**3\/3 - 4*l**2 + 5*l. Calculate the least common multiple of o and b(-6).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -6591, -26384, -59369, -105546, -164915?\n\"Answer: -6596*n**2 - 5*n + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 2)*(p - p + p**2)*(-4 + 3 + 4)*(-2*p**2 + p + 4*p + 2*p).\nAnswer: 18*p**4 - 63*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of -4*b**6\/15 + b**5 - 4*b**4\/3 + 2*b**3\/3 - 2*b. Factor f(a).\nAnswer: -4*a*(a - 1)**2*(2*a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12072166 less than -585?\nAnswer: -12072751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -76*r**3 - r**2 + r. Give u(1).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 84741908 to the nearest integer?\nAnswer: 9206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 106501357?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -54164*n**4 + 171585.\nAnswer: -216656*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6184865?\nAnswer: 5, 137, 9029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 AM and 2:13 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = u - 6, 5*u + 3*i = -0*i + 8. Suppose -z + u = 4. Let r = -1 - z. Solve -4*v - r*p - 3 = -3*p, -10 = 2*p for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 75 and 3850?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**2 + u - 1. Let b(t) = t**2 - t + 1. Let d(x) = -3*b(x) - 2*n(x). Let g = -3 - -4. Let r(h) = 6*h - 2. Let j(o) = g*r(o) - 2*d(o). Factor j(s).\nAnswer: 2*s*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (a + 2*a**3 - a)*(1 + 2 - 2) - a**3 + a**3 - a**3 + (-a + 0 + 0)*(-9*a**2 - 18*a**2 + 20*a**2) as k*a**3 + t*a**2 + r + c*a and give k.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = m - y + 32, -3*y - 37 = 4*m. Suppose 3*i + 4*x + 10 = 0, -i - 2*x - 3 + 1 = 0. Which is bigger: m or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + -ec84?\nAnswer: -ec89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 151573?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 168*i - 4 - 323*i + 167*i as c + l*i and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -5.3, -0.3, 3\/8, -3, -7, -5\/4, -5?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.07 * 54.85\nAnswer: 3.8395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 9\/4*(-60)\/15. Let m = j + 14. Find the first derivative of -5 + m + 3 + 4 - t**2 wrt t.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 2 + -2 + 0 - (1000 + -998).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -3*s**3 - 9*s**2 - 5*s - 2. Let t be z(-4). What is the highest common factor of t and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-3*q + 0*q + 4*q)*(3 - q - 3) - 3*q**2 + 6 - 37*q + q**2 + 38*q)*(-7*q + 14*q - 2*q) as l*q**3 + i*q**2 + v*q + r and give l.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/10)\/((-418)\/(-190))\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -6*l + 206. Let m(i) = 2*i - 65. Let v(k) = 16*m(k) + 5*o(k). Let g(r) be the first derivative of r**3 + 19. What is g(v(h))?\nAnswer: 12*h**2 - 120*h + 300","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2398877?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.3735152 rounded to four dps?\nAnswer: -2.3735","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -3*b**2 + 6496*b + 46. Calculate y(0).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -46865686\/9 or -5207299?\nAnswer: -46865686\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*n - 12 = -n + 2*t, -n + t + 8 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5404*x + 3066*x + 2151*x to g + o*x and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -9, -13, 3256, 4, 2, 0 in ascending order.\nAnswer: -13, -9, 0, 2, 3, 4, 3256","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - w = 5*z - 30, -4*z - 5*w = -24. Suppose z*q - 3*q = 4*l - 1, 0 = l - 5*q + 4. Which is the closest to l? (a) -1 (b) 4 (c) 2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 1. Let j(q) = -q**3 + 8*q**2 + 9*q - 2. Let a be j(9). Let f = 0 + a. Let g(y) = -y - 2. Determine f*m(n) - g(n).\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/253333 at most as big as -0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18025*q + 2 + 1 - 3.\nAnswer: -18025*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2025.298 nanometers in meters?\nAnswer: 0.000002025298","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 p when three letters picked without replacement from {f: 4, v: 2, j: 1, p: 2, b: 1, k: 4}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 114656 + -5055. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 minus 253?\nAnswer: -221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -931 + 19.2303791?\nAnswer: -911.7696209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -11033 (base 4) in base 5?\nAnswer: -2320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4737131 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -18.95 + 57\nAnswer: 38.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 3*x + 6 = 0. Let t(q) = -q**x + 19 - 2 - 6*q - 2*q - 4. Is t(-9) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 1 = 6. Let b be (p - 0)*4 + 1. Factor -9*f - 16*f**2 - 12*f**3 - 3*f**5 - 2 - 6*f**4 + 2*f**b - 2*f**3.\nAnswer: -(f + 1)**4*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*n = -19*n + 20460. Let v = -116 - n. What is v rounded to the nearest ten?\nAnswer: -740","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*t + 4*h - 7426 + 7428, 16*h = 6*t + 22 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and 0.396?\nAnswer: -0.0792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13.75276nm to millimeters.\nAnswer: 0.00001375276","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 - w + 3. Let r be j(5). Suppose 2*g - 97 = -r. What is the second derivative of -3 + 33*a**5 - 6 + g*a + 9 wrt a?\nAnswer: 660*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*a**2 - 26*a**2 - 885*a + 3*a**2 + 1694*a - 809*a.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 89377 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(2401)*-2*-2)\/((sqrt(70)\/sqrt(2))\/sqrt(5) - (sqrt(7) + ((-3*sqrt(14))\/sqrt(2) - sqrt(7)))))**2.\nAnswer: 5488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (3213\/714)\/((-27)\/(-18))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**3 + 4*x**3 - 2*x**3)*(-13754329 + 3605*x + 13754329).\nAnswer: 3605*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = -46*r + 57*r. Let u be -5*((-12)\/(-5) - 2). Let b be (6\/(-4))\/(1\/u). Solve -5 = b*w + r for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 272259.62 take away 38.339524?\nAnswer: 272221.280476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 75 to the power of 1\/2, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8068 - 8072. Which is the second smallest value? (a) f (b) -5 (c) -0.3 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4039 decades to years.\nAnswer: 4.039","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fttm when four letters picked without replacement from eufggffmmffmtftfmg.\nAnswer: 7\/9180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16431 is divided by 401?\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/15*10\/360*15?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3777*u - 210 = -3791*u for u.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -511027, -511028, -511029, -511030, -511031, -511032?\n\"Answer: -t - 511026","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4189358.0000024 - -4189356. Let z = 2 + y. Round z to 6 dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-6)\/(376\/379 + -1) is divided by 95?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -31 + 21 - 4\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19, 43, 87, 157, 259, 399, 583?\nAnswer: 817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -2*l - 6 - 82 + 88. Let d(g) = 78*g**2 + 60*g**2 - 32*g**2. What is d(f(w))?\nAnswer: 424*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8132 is divided by 49.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h, 1 m, and 1 g when four letters picked without replacement from {m: 5, t: 1, h: 3, g: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j - j - 4*j)*(54 + 2 + 50)*(-4 + 3 - 6).\nAnswer: 1484*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3012338531.\nAnswer: 1033, 2916107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 179 + 46. Suppose b = -29 - q. Let s = b - -404. Is s a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -p**2 - 1 - 3 + 4*p + 1 + 9333*p**3 - 9329*p**3 - 3*p as s*p + y*p**3 + t*p**2 + b and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.11 rounded to 0 decimal places?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 69 divided by -2288436\nAnswer: -23\/762812","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 15 - 52 = 5*v, 5*v = -2*k + 11. Calculate the remainder when 427 is divided by k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4999 in 18, -2\/5, -20?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 11:53 PM?\nAnswer: 1:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**4 + 69*o**3 + 51*o**2 - 321*o + 198.\nAnswer: 3*(o - 1)**2*(o + 3)*(o + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 2*z**2 + 9*z - 4. Suppose 0 = 2*w - 0*w + 46. Let d = w + 16. Is 13 a factor of r(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, p: 2, k: 2, n: 2}. What is prob of picking 2 c and 1 n?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 3*i = 18, x + 390*i - 1021 + 610 = 0 for x.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (14*g**2 + 42*g - 42*g)*(-2*g + 0 + 0) to the form y + s*g**3 + v*g**2 + k*g and give s.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -251 + 287. What is the hundreds digit of m\/(-18) - (-269 + 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1232191087 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*k = 103*k - 2025. Solve 14 = 4*c + 2*b, 5*c - k = -7*b + 6*b for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*g + 88*g + 293 - 993 = 0 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 88 and 4477?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**3)**9)**(25\/4) assuming w is positive.\nAnswer: w**(675\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000053366194 rounded to seven decimal places?\nAnswer: -0.0000053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 - z**2 - z + 1. Let n(l) = -13*l**3 - l**2 + 48*l + 1. Let a(m) = b(m) - n(m). Find the second derivative of a(w) wrt w.\nAnswer: 72*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 9 = 5*j. What is the remainder when 34 is divided by j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -432\nAnswer: 864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3924392cm in millimeters?\nAnswer: 3.924392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*n - 5*k - 8, -17*n - k - 16 = -20*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7589 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 556?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 22*o + 146. Let z(m) = 2*m**2 - m. Calculate a(z(d)).\nAnswer: 44*d**2 - 22*d + 146","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5933\/2 - 2887. Let g = 82 - p. Sort g, 2\/5, 0 in decreasing order.\nAnswer: g, 2\/5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -17, 1\/4, -4, -72, -3, -1\/42, -0.5?\nAnswer: -72","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21 + 21. Is i less than 0.06?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) 18 (c) -1 (d) 0.3 (e) 198 (f) -3 (g) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of 6*q**3 + q + 20. Differentiate v(i) wrt i.\nAnswer: 36*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.156 - -0.13. What is u rounded to two dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -24*d - 6*d - d + (-d - 2*d + d)*(-4 + 0 + 2) + 1 - 1 - d as v + g*d and give g.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -609*p. Let h(t) = -2*t**2. What is h(c(r))?\nAnswer: -741762*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - -2. Let u be 45\/((-9)\/3) + (-6)\/l. Let c be 4\/u + (-272)\/72. Sort 1, c, -9 in descending order.\nAnswer: 1, c, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r be 3632*(-3)\/(-3)*2. Suppose 2*h + v = 3518, -4*v - 1987 + r = 3*h. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 15*a**3 + 5*a**2 - 75*a + 68. Give m(1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 91*q - 81. What is the hundreds digit of n(30)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 86, -0.08276, 0.204?\nAnswer: -0.08276","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 1291 = 4*m, 5*m = 5*i + 689 + 981. What is the lowest common multiple of m and 141?\nAnswer: 987","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-8))\/((-6)\/(-6))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 799 and 2867.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jzjjzsj. Give prob of sequence zjz.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1786728439 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10*(56\/60)\/7.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 690 and 4?\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (-12 + -5 + 13 + -1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5222, -2 in decreasing order.\nAnswer: 5222, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 1504*z**2. Let l(b) = -24*b**2. Determine t(l(h)).\nAnswer: 866304*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 332 divide 996666656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 817 (b) 5 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 343875 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2574 by 6.\nAnswer: -429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 + -2)*(1\/1 + 0). Which is the closest to 2\/5? (a) 13\/5 (b) z (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n**4\/3 - 10*n**3\/3 + 17*n**2\/3 - 8*n\/3 = 0.\nAnswer: 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1963\/3 + 13735\/21. What is the fifth smallest value in n, 5, -37, -3, 0.04?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 52 = -608. Let o be 2\/(-9) + i\/135. Solve 0 = -4*w + 5*d - 5, 4*d = 4*w + 9 - o for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -156370*c + 156381*c - 385 = 0. Calculate the remainder when 559 is divided by c.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 318 is divided by 103?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/61)\/w*w)**(-33) assuming w is positive.\nAnswer: w**(-66\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -78*b**3 - 6*b**2 + 2*b. Let h be w(-2). Let m = h + -274. What is the greatest common factor of 23 and m?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -h + 2*h. Let p(f) = f**2 - f - 1. Let d(c) = -3*c**3 + 3*c**2 - 3*c - 1. Let s(g) = h*p(g) - d(g). Differentiate s(i) with respect to i.\nAnswer: 9*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - h = 1526593, 1144953 = 3*l - 2580*h + 2582*h. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.11 + 0.1. Let l = -0.06 - b. What is the nearest to 0.1 in l, 3, 2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/9)*m**(4\/11))\/(m*m**(5\/6)\/m*m)**(1\/9) assuming m is positive.\nAnswer: m**(29\/594)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4\/9, -16, -0.111, -4, 7\/4?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 6) in base 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -14*j + 24*j - 15*j + 1. Let m(y) = -4*y + 1. Give -6*m(f) + 5*r(f).\nAnswer: -f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/125 or 23513\/5?\nAnswer: 2\/125","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, d: 6, r: 6, t: 7}. What is prob of sequence rrd?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 5*t + 3 - 19 = 19, 3*t = -470*v + 2365 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 3 + (11 - 3 - 1)*(-3 - 2 + 13))*(d - d + 2*d).\nAnswer: 114*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, i: 2, r: 1, o: 1, m: 5}. Give prob of sequence riy.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yytttyttyytt. What is prob of sequence yty?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/4)\/((-12)\/(-40)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-3 + -1*sqrt(108)*-1 + sqrt(108) + 0).\nAnswer: -24*sqrt(3) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + t - 6*t + 20, 4*t - 16 = -3*d. Solve d = -3*v + 4 + 11 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-7)\/o**2)\/(o*o*o**(1\/4)*o)**(14\/3))\/((o**(-3\/2)\/o)\/o*o\/o**(-3)*o\/o**(-4\/3)*o**(1\/8)) assuming o is positive.\nAnswer: o**(-217\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j + 0*j + 4*j)*(-2 - 1 + 2)*(4 - 3 + 0)*(2*j + 3*j - 6*j).\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -0 + 10. Let a(x) = 4*x**4 + 17*x**3 + 5*x**2 - 16*x + 5. Let f(p) = -2*p**4 - 8*p**3 - 2*p**2 + 8*p - 2. Let t(b) = w*a(b) + 5*f(b). Factor t(s).\nAnswer: -2*s*(s - 1)*(s + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, z: 1, o: 7}. What is prob of picking 2 o and 1 a?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - 8\/10)*2. Let n be (-3)\/(14\/4*(-3)\/(-7)). Let g be (4 - n)*(-4)\/56. Which is the nearest to r? (a) g (b) -2\/5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 2*h - 25, 4*v + 2*h = 4*h + 2. Suppose -2 = -5*p + 5*q - 22, -v*p - q = -8. Suppose -12 = 5*d + 3. Put p, d, -2 in ascending order.\nAnswer: d, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/14)\/(9338\/2842)\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 401189 is divided by 201.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2*b**2 + 45*b - 239. Let j be m(-27). Solve 7*i**5 + 0 - 16\/5*i**2 - 9\/5*i**3 + 46\/5*i**j + 4\/5*i = 0 for i.\nAnswer: -1, 0, 2\/7, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -112, -722, -1746, -3190, -5060, -7362, -10102, -13286?\n\"Answer: -g**3 - 201*g**2 + 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 181 is divided by (120\/(-12) - -9)\/(1\/(-37)).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*p + 63 + 62 = 0. What is the units digit of 47 + (-4 + 3)*p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -128*f + 124*f + 8. Solve f*c = 1 - 11 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, -32, -79, -146?\nAnswer: -233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 44*u**2 - 129*u**2 + 42*u**2 + 49*u**2. Let d(c) = 15*c**2. Calculate v(d(f)).\nAnswer: 1350*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -26*l**2 - 35*l**2 + 51*l**2 + (4*l**2 + 0*l**2 - 5*l**2)*(5 - 3 - 4) as r + h*l**2 + t*l and give h.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1096*g**2 + 4155*g**2 - 1572*g**2 + 4348*g**2.\nAnswer: 5835*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 11*j**2 + j. Suppose 3 = z + 6. Let a(v) = v**2 + 4*v + 2. Let r be a(z). Is m(r) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k - k + k)*(3 - 3 + 21*k).\nAnswer: 21*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/4 (b) 1\/2 (c) 28977 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3312 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 - 10*w**2 + 29*w - 10. Let r be s(-13). Let d be 1988\/10 + r\/(-150). What is the highest common divisor of d and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 43804 = -2*p + 683862. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 151 + -100. Let y = -51.5 + g. What is the closest to 0.1 in y, 1, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -15. Let a = 350.6 + -353.6. Is a at least as big as d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1566, 390, 1, -2 in ascending order.\nAnswer: -2, 1, 390, 1566","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*w - 84 = -504 for w.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}