diff --git "a/data/dm_maths/full_data/2836_11255.jsonl" "b/data/dm_maths/full_data/2836_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/2836_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let x(p) be the first derivative of -59*p**3\/3 + 137. Let c(v) = 2*v**2. Determine x(c(u)).\nAnswer: -236*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of -s**3\/2 + 3*s**2\/2 - 4*s. Determine w(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14 - -20. Let t(r) = -30*r**2 + 3*r - 2. Let m be t(1). Let w = m + 35. Calculate the greatest common divisor of l and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + -5666d5?\nAnswer: -5666d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**2 + 9*f + 6. What is s(-9)?\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(1\/24)\/j**(-23) assuming j is positive.\nAnswer: j**(553\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4121 plus -127.01?\nAnswer: 3993.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12\/4*(-86)\/(-3) is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*h - 5*h - 7*h + h**2 as q*h**2 + a + j*h and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a + 19. Let z be k(15). Let r be (2\/z + 0)\/((-627)\/38). Which is greater: -1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 388066821 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 - 7*v**2 + 9*v + 10. Let d be g(-8). Suppose d*k = -25 - 41. Let t = -35 - k. Which is smaller: t or 1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 - 8. Let z = n + 19. Suppose 1963 = 38*t - 1229. Calculate the greatest common factor of z and t.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3 + 3656686*o**2.\nAnswer: -o**2*(o - 3656686)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7.6 + 51.6. Let y = -43 + c. Let l = 30 - 51. Is y greater than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.01? (a) -2\/5 (b) -117286 (c) 7 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4\/9 - 16\/9. Is u <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 245.0705 millilitres to litres.\nAnswer: 0.2450705","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -5*x**2 + 7*x - 6. Let a be i(5). Let g = 387\/4 + a. What is the common denominator of 109\/12 and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 + 34 + 174 = -36*p. Sort p, -98, 3\/47 in descending order.\nAnswer: 3\/47, p, -98","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (13\/(-702))\/((-22)\/264)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 77 and 539?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -137\/155 + 61\/62. Sort -4, s, -15 in decreasing order.\nAnswer: s, -4, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 915*b + 15. Let r be l(1). Let v = 41238\/5551 + -2\/5551. What is the common denominator of v and (-6)\/3 + 0 - r\/(-75)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 95514 and 1158?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 31*r**3 - 59*r**3 - 20*r**2 - 3*r + 34*r**3 to p*r**2 + z + s*r + v*r**3 and give p.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2177003\/120 - -18142. Let a = 1\/15 + u. What is the nearest to -1 in -5, a, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 347615714?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 - 49*g**2 + 136*g + 41. Calculate b(46).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times -5762?\nAnswer: 1728.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 0.2 (b) -7 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -137004*a**2 - 180067*a**2 - 128191*a**2.\nAnswer: -445262*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 + 6. What is the nearest to 0.1 in -1, 0.1, g?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 637 - 632.34. Let l = -0.66 + r. Let f be (2\/4)\/(6\/(-4)). What is the closest to f in l, 2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 133\/6 and -13\/33547372.\nAnswer: 100642116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1874 - (-14)\/(-21)*9\/(-2). Suppose -t + 2*t = 3*i + d, -4*t + 7476 = 4*i. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 5*l = -30, -2*w - 3*w - 34 = -3*l. Let z = -7 - w. Let x be (-1)\/(7\/z + 3). Solve -3*o = -2*o - 5*p - 16, x*o = -3*p - 7 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10366458469 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-a**3 + 3*a**3 - a**3)*(-4*a + 2 - 2*a - 2*a) in the form g*a**2 + y*a**3 + j + q*a + h*a**4 and give h.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0799246km to centimeters.\nAnswer: 7992.46","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1645 (base 12) to base 15\nAnswer: -bb5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 65 take away 37?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -3*m + 11. Let w(j) = -j + 4. Let c(k) = 4*u(k) - 11*w(k). Suppose -2*i + 16 = 2*i. Let z(l) = -2*l - i*l - l. Calculate z(c(x)).\nAnswer: 7*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of 24232086 and 533.39.\nAnswer: 24232619.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4673 and -4?\nAnswer: -18692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**4 + 2*k - 2*k)*(7 + 1 - 14).\nAnswer: -12*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -49\/5*t - 1\/5*t**5 - 46\/5*t**4 - 94\/5 + 10*t**3 + 28*t**2 = 0.\nAnswer: -47, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 plus -3424.8931824?\nAnswer: -3429.8931824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11744*p = -11750*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-2)\/d*d*d\/(d*d**(-8))*d*d*d**4*d**(-2\/13)*d*(d**(-7)*d**(-3))**(2\/153) assuming d is positive.\nAnswer: d**(25291\/1989)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 PM and 2:45 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*d = -74*d + 3. Is 1563 - (30\/(-105))\/(d\/14) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15523 and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (230*k - 2224*k + 612*k)*(-3 + 1 + 1) - k - 2*k + 5*k in the form b + m*k and give m.\nAnswer: 1384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (230*l**3 + 10 - 121*l**3 - 110*l**3 + l**2)*(2*l**2 + 3*l**2 + 0*l**2).\nAnswer: -5*l**5 + 5*l**4 + 50*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 3 (b) 162 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -4*m + 800. Let w be (25\/m)\/(9\/4). Which is the closest to 2\/3? (a) w (b) 0 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000764546 to seven decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 928 + -909. What is the remainder when 435 is divided by a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + (sqrt(612) - (2 + sqrt(612))))*1 + 1)**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 37 + -54 - (-1 + -2) - (1 + 9)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (132\/10)\/(-2) - (-1 - 4)?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-54)\/4*-14*4\/(-84) - -2\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 186484.\nAnswer: 932420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (31 - (7 + 7)) + -2 - 50.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -124756 (base 14) in base 7?\nAnswer: -5221136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 262517, 262513, 262509, 262505, 262501?\n\"Answer: -4*y + 262521","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*r - 300 = -44*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(306))\/sqrt(6))\/(-2*(sqrt(3) + (sqrt(147) - sqrt(3))) - sqrt(3)).\nAnswer: sqrt(17)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 6, v: 1, u: 1, z: 6, l: 6}. What is prob of picking 1 l and 1 z?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - -115234?\nAnswer: 115232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -88377, -88483, -88587, -88689, -88789, -88887, -88983?\n\"Answer: i**2 - 109*i - 88269","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 3\/36440359?\nAnswer: 3\/36440359","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 822?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 82*n - 1337. Let a be q(17). Calculate the greatest common factor of a and 665.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1\/5))**(-27)\/(o**(-4\/3)\/(o**2*o)))**(-43) assuming o is positive.\nAnswer: o**(-6278\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.07855 to two decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 416968.7 kilometers?\nAnswer: 416968700000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the second derivative of -b**5\/20 - b**4\/12 - 3*b**2\/2 - 8*b. What is the remainder when 58 is divided by y(-3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6460)\/(-100) + 4\/10 + -1. Calculate the greatest common factor of 288 and y.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/((-16)\/10)*4. Suppose -l*h - u + 24 = -3*u, 4*h + u - 14 = 0. Let z = 213 + -213.12. What is the third biggest value in h, 0.5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 442 is divided by 123?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13, 41, 85, 151, 245, 373, 541?\nAnswer: 755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9737 > 9740?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*h + 135*h - 23*h - 4929 = 0 for h.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1240)\/1632 + 4\/16. Which is smaller: 0 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 34 in -0.6, 2\/5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00005906 to 5 dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2\/37, 2\/11 in decreasing order.\nAnswer: 3, 2\/11, -2\/37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 56 + 5\/(25\/20) + -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 23, 4, -225, -772, -1745, -3252, -5401, -8300?\n\"Answer: -18*i**3 + 3*i**2 + 98*i - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, -12, 0, 2 in decreasing order.\nAnswer: 3, 2, 0, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 180*t + 708 = -1632 for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (91 + 25*f - 91)*(5 + 6 - 4)*(-f**3 - 4*f**3 + 6*f**3).\nAnswer: 175*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 7647\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g + 1. Let x(q) = -15*q + 9. Give 12*b(h) - x(h).\nAnswer: 3*h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -37c449 (base 13) to base 6\nAnswer: -44423523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -19 in -0.28812, -0.07, 4, 1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve z**5\/3 - 32*z**4\/3 + 83*z**3 + 218*z**2\/3 - 1600*z\/3 - 512 = 0 for z.\nAnswer: -2, -1, 3, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 14207.36 and 0.1.\nAnswer: 1420.736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 w when three letters picked without replacement from iyiiyyyiwyyriiiiyy?\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -29, 3, -3 in descending order.\nAnswer: 3, -3, -5, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9915514*n**5 + 3623683*n**2?\nAnswer: -594930840*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b21 (base 12) to base 16.\nAnswer: -649","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 6 = 0, s + 3*m - m = 93. Let z(j) = j**2 - 3*j - 7. Calculate the remainder when s is divided by z(8).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*u**3 + u**2 - u**2)*(-u - 4*u + u + (0 + 1 + 0)*(-2*u - u + 2*u)).\nAnswer: 40*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108 = 4*k - 4*p, p - 141 = -0*k - 5*k. Let q(b) = 31*b + 348. What are the prime factors of q(k)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 14 - (-6)\/9*(-15)\/(-10). Let l = -33 + g. Let j(k) = -17*k - 13. Is j(l) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s + 2. Let z be t(3). Suppose 3*q + k - 15 = 0, -6*q + 15 = -3*q - z*k. Let c = 93 - 89. Solve -q*r = -3*h + c + 8, 2*h = -5*r - 17 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 351649897.\nAnswer: 351649897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 8 - 16 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/58668 and 107\/1261362?\nAnswer: 2522724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -47\/75 - -32\/75. Let n = 2.94 + 0.06. Which is the closest to -2\/5? (a) j (b) -0.01 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14963 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 + 6 - (-75)\/(-9). Let r = -8 + 8.3. What is the closest to -2 in r, z, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 42 and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve h**3\/2 + 784*h**2 + 21769*h\/2 + 10101 = 0.\nAnswer: -1554, -13, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of -5 + 1\/4*p**4 - 2*p + 5\/2*p**2 + 2*p**3. Let s(t) = -t - 10. Let w be s(-6). What is o(w)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 413364788 a multiple of 1271?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -10*q**2. Let h(c) = -1285*c. What is h(n(j))?\nAnswer: 12850*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 - 10. Let k be 2 - (-19 + (t - 0)). Suppose -15 = -3*b + k. Does 3 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 10 = 2*t + j, 5*t + 10 = 5*j for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147*f + 117*f + 3226 = -1262 for f.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-20)\/2*8\/(-16). Solve z*l = l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 144*x**2\/19 - 8122*x\/19 + 7978\/19 = 0.\nAnswer: 1, 3989\/72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -320*z + 140 = -313*z. Let j be (8\/1)\/(0 - -1). What is the greatest common divisor of z and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*d**2 + 23460 - 23460.\nAnswer: -5*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -2*d**3 + 8*d**2 + 11*d - 1. Let a be n(9). Is a\/(-6) - (-3)\/9 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rq when two letters picked without replacement from {r: 2, c: 8, q: 4, z: 3}.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 99*k**3 + 64*k - 271*k + 47*k + 77*k + 53*k as b + y*k**3 + j*k + o*k**2 and give y.\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.76 rounded to 1 dp?\nAnswer: 8.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (2\/((-4)\/(-5635)))\/(37\/74)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13973 + 28716. Does 23 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of v**4\/4 - 2*v**3\/3 - v**2 + 2*v + 11. Calculate n(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -208*x + 227. Let j(k) = 70*k - 79. What is -6*d(l) - 17*j(l)?\nAnswer: 58*l - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1727.691 + -1727. Let c = t - 0.7. Round c to three dps.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 + 7147447418?\nAnswer: 7147447417.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2)*k**5)\/(k**(-1\/2)*k*k*k\/(k\/(k*k**(-6))*k)) assuming k is positive.\nAnswer: k**(15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 41 + -37. Find the second derivative of 1070*p**4 - 1070*p**l - 14*p**5 - 12*p wrt p.\nAnswer: -280*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 3*i = -5*i + 380, o - 4*i - 165 = 0. Suppose 6*t - o = t. Let n = -37 + t. Solve 0 = -y + p - 3, -y + 0*y - p - 3 = n for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 398, 399, 400, 401, 402, 403?\n\"Answer: d + 397","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -641*r - 4*f + f - 90 = -640*r + 2*f, -4*f = 25*r + 193 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7068 and 616620?\nAnswer: 363189180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 7861 - -4\nAnswer: 7865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -134 (c) -14\/9 (d) 5 (e) -61\/3 (f) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 20 - 70 = -5*j, j + 45 = 4*w. Let o be (-329)\/14*w\/3. Let z = -87 - o. What is the nearest to 0 in 1\/8, z, -3\/5?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times 103?\nAnswer: -206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5745 - 5632. What is the remainder when y is divided by 103?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1359, 2723, 4087?\n\"Answer: 1364*f - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-1*sqrt(3) - (-1 + 1*sqrt(3)) - (-3*sqrt(3888) + sqrt(3888)).\nAnswer: 1 + 72*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -662, -27, 0 in decreasing order.\nAnswer: 0, -27, -662","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110724?\nAnswer: 2, 3, 9227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89389 is divided by 296?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = 5, 5*b + 5 = -2*g - 4 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 9.52529ng?\nAnswer: 0.00000000952529","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of k**9\/168 - 7*k**5\/60 - 2*k**2. Find the third derivative of i(s) wrt s.\nAnswer: 360*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 1170*q + 8191. Determine w(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18 - 34. Let y = 67 - 54. Let j = m + y. Which is smaller: 0.1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29 + ((-2 - -6) + -4 + 12 - 8)\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3\/5, 3, 119973?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2\/14043 + -1165549\/140430. Find the common denominator of 1227\/(-90) - (-2)\/(-10) and c.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 100 + -482\/5. Is 2\/3 equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ampzjbpbmzzjjzmmmzz. What is prob of sequence maz?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4050)*-1 - (sqrt(50) - ((-3*sqrt(50) - sqrt(50)) + -5)) - (sqrt(162) + sqrt(162)*1 + sqrt(10)\/(1*sqrt(5)))*-2*6)**2.\nAnswer: -1580*sqrt(2) + 49953","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -h + 6, 3*s - 11 = -h + 1. Suppose 0 = -2*q - y + 24, y - 14 = -s*q + 22. What is the least common multiple of q and (-8 - -5) + (-1 - -15)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(0 + 3\/6). Suppose -2*x + z + 101 = 0, -3*x + c*z - 21 = -170. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide ((-20)\/(-6) + -2)\/((-4)\/(-390))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/24*26 - -2)\/((-448)\/7296).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -9 + 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1823978 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(27) + sqrt(15)\/(sqrt(5)*-1) + (sqrt(24)*1)\/(sqrt(18)*5).\nAnswer: -148*sqrt(3)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24 and 1704?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-42) - 1\/3. Let p be (-2)\/7 + (-46)\/(-14). Suppose 0 = p*s + 2*s. Which is greater: s or y?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence htjh when four letters picked without replacement from ejhmhhhhhohjth.\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 4*t - 2*g + 121, -152 = 5*t - 2*g. Let w = t - -96. Suppose -18 - w = -3*r. Is 14 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-87)\/27 + 4\/18. Let s be 3\/2*(-1 + -3). Let d = y - s. Solve -r = -d*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -66606?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 1 + 0)*(m**3 - 2*m - 3*m + 6*m) as y*m + k*m**2 + w + t*m**3 and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 6, g: 2, d: 9}. Give prob of sequence ggdc.\nAnswer: 9\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-5\/9)\/(y\/(y**(-16\/7)\/y)))\/(y*y**20\/y)**(-1\/34))**(-37) assuming y is positive.\nAnswer: y**(168535\/1071)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 162, 538, 912, 1284, 1654, 2022, 2388?\nAnswer: 2752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/6 + (-5)\/4*(-216)\/180.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(3\/5)*n**0\/n)**23 assuming n is positive.\nAnswer: n**(-46\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46661752.\nAnswer: 2, 5832719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 13\/((-364)\/(-1080))*(-14)\/(-3). Let y = p + -144. Solve 4*s - 5*i = -y, -3*s - 15 = -4*i + 13 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 315241 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 345 - 693 + 350 - 30*y**2 + 4*y - 4*y**2 + y**2 + 0*y**2 + (-1 + 0 + 2)*(-y**2 + 0*y**2 + 2*y**2) - y + y**2 + y.\nAnswer: -31*y**2 + 4*y + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 2*t - 3 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes before 2:27 AM?\nAnswer: 5:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-1*sqrt(117)*-4*5)\/((sqrt(576) + (sqrt(576) - (sqrt(576) - (sqrt(576) + sqrt(576)*-2))) - sqrt(9)) + sqrt(54)\/sqrt(6)*2).\nAnswer: 40*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + -4 - (1 + 11) - -7?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p - 25. Calculate k(-21).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -2\/7, 75\/38, 1\/5, -4\/7, -1\/5, 4\/7, 1\/4?\nAnswer: 75\/38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 105 - 1153\/11. Which is the third smallest value? (a) x (b) 3\/5 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 24, 60, 136, 270, 480, 784?\n\"Answer: 3*x**3 + 2*x**2 + 9*x + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 + 3. Let z(t) = t. Let f(c) = 8*c - 1. Let q(v) = -2*v**3 - 34*v**2 + 38*v + 50. Let l be q(-18). Calculate g*f(n) + l*z(n).\nAnswer: -2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tyyghnhnhnngrnnghty. What is prob of picking 1 r and 2 g?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2028*g**5 - 763*g**2 + 1.\nAnswer: -121680*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 151331 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7 and 149.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xgf when three letters picked without replacement from {f: 2, j: 1, g: 4, m: 1, s: 4, x: 2}?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -3*s**2 - 58*s + 152. Calculate the remainder when 135 is divided by r(-21).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 295*d**2*f**5 - 690*d**2*f**4 + 27*d**2*f - 1402*d*f**2 + 3*d + 5*f**2 wrt f.\nAnswer: 17700*d**2*f**2 - 16560*d**2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 425305.5 centuries in decades?\nAnswer: 4253055","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76 + 56 = 4*j. List the prime factors of j.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(3\/5)\/g*g*(g\/(g\/g**(-9)))\/g*(g**(-1\/13)\/g)\/g*g**(-5\/2)*g*g\/(g**(2\/27)\/g)*g**3*g*(g**(-4)\/g)\/g**(-6) assuming g is positive.\nAnswer: g**(-21239\/3510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 184, -2, 47, 1\/3, 2, -1\/2 in ascending order.\nAnswer: -2, -1\/2, 0, 1\/3, 2, 47, 184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -67, -72, -77, -82, -87?\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 46*f**2 - 57*f**2 - 1 - 1 to the form a + h*f**2 + j*f and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26 - 21. Solve s - 15 = -5*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1353 + 110*r - 1353 as t + s*r and give s.\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 83.88 - 80. Let w = o + 0.12. Which is the second smallest value? (a) -3 (b) w (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33639 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 3 - 6 + 3 + 1 - 1 + 2 - 2 - 4 + 2 + 0 + (1 - 1 - 1)*(2 + 0 - 3) + 1 + 0 + 0 + 3 - 2 - 2)*(v + 68 - 68 - 18*v**2).\nAnswer: 54*v**2 - 3*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -140738 (base 9) to base 10\nAnswer: -85895","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 7, -18496.\nAnswer: -18496, -3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*n - 4 + 22 = 29*n - 72*l, 0 = -n + 4*l - 9 for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4008 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - 3)*8\/(-3). Suppose u = 5*q - 7. Suppose 5*k = q*k. Solve k = 3*s - 0*s + 12 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -69 (c) -0.06 (d) -0.1 (e) -10 (f) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1786 and 3665624?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 1817*a**2 + 6*a + 298. Let w(f) = -f**2 + 2*f - 4. Let d(y) = -j(y) + 3*w(y). What is the first derivative of d(v) wrt v?\nAnswer: -3640*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 3*h - 3. Let a be h - 4 - (-5 - -4). Suppose -3*w + 2*w + 2 = a. What is the closest to 1 in 1\/4, -0.1, w?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/222 in -1\/3, 2, -2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43 - 13 = 5*d + 2*j, 5*j = 2*d + 17 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from uufmfqmfq.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (70\/2)\/((31296\/(-163))\/384)?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 215 = 3*p + 5*y, 295 = -8*p + y + 252 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*a - 21*a + 379248 = -3*a. What is the remainder when a is divided by 247?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 - -13185.05\nAnswer: 13185.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -523\/80 + 233\/40. Find the common denominator of z and 127\/30.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*l + 8 - 68 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 PM and 6:02 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -463 + 462.1. What is v rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 34 + -62 - -48.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 - 9*d**2 + 7*d + 8. Let n be p(8). Which is greater: 2\/15 or n?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 3:02 PM?\nAnswer: 8:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the first derivative of g**4\/4 - 2*g**3\/3 + 7*g + 11. What is the remainder when t(3) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(-9) + (1 - 136\/(-6)). Suppose 3*a = 2*a + 3. Suppose -r = -9*u + a. Solve -b + 0*v + 14 = -u*v, 0 = -5*b + 2*v + 5 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -t - 9, -2*s + 2*t = -14. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/(j**(-2\/31)*j)*j\/j**7*j\/j**6*j*j**(-9) assuming j is positive.\nAnswer: j**(-587\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of 31*y**5\/60 + 25*y**2. Let a(t) = -t. Give a(v(g)).\nAnswer: -31*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (7\/((-7)\/(-6)))\/(6\/(-4))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*l - 23 = 7. Let z(f) = f**2 + 4*f + 1. What is z(l)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(117) + -3*-1*sqrt(117)))\/(sqrt(900)*2 + (sqrt(9) + (sqrt(108)\/(sqrt(24)\/sqrt(2)) - sqrt(9)) - sqrt(9) - sqrt(9))) + -4.\nAnswer: -4 - 8*sqrt(13)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1648193 to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 799, 1369, 1939, 2509, 3079, 3649?\nAnswer: 4219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 47291599?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 287 and 164?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13197398?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2574870589?\nAnswer: 29, 37, 631, 3803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -562666 divided by 2546.\nAnswer: -221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18036 + -17852. Calculate the remainder when 907 is divided by f.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11 or -27?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1098\/5 or 221?\nAnswer: 221","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccscscsckss. Give prob of sequence csks.\nAnswer: 5\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -324567*d**2 - d**3 + 108193*d**2 + 108186*d**2 - d**3 + 108188*d**2.\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5 + 63*t + 1 - 4 - 17 wrt t?\nAnswer: 63","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -4017, -4219, -4561, -5043, -5665, -6427, -7329?\n\"Answer: -70*u**2 + 8*u - 3955","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*t**6 + 171*t**4 - 2*t**3 - 5*t**2 - 46*t - 13 wrt t?\nAnswer: -240*t**3 + 4104*t - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13086402 and 10.\nAnswer: 65432010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-3834)\/10863*3\/(-54)*3\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.03 and -11711984?\nAnswer: -351359.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -22*w + 85 - 85 in the form o*w + b and give o.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/7*((-153)\/(-27) + -5).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-23)\/(138\/(-16)))\/((-17)\/((-3570)\/20)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (9\/6)\/(6\/8). Suppose 2*x = v - 8, -b*v - 5*x + 8 = -v. Is v a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*u + 4*u - 5*u)*(-u**3 + 3*u**3 - 3*u**3) + (2*u**2 + u**2 - 5*u**2)*(u**2 + 2*u - 2*u) as a*u**4 + w*u + r*u**2 + o*u**3 + c and give a.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -12532*a - 665. Is l(-13) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2961162245.\nAnswer: 5, 592232449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 637*g - 229*g - 2030 = 10. Solve -8*a - g*x + 36 = -10*a, -4*a + 18 = 5*x for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 281 (base 11) to base 7.\nAnswer: 652","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 16*l = 21*l - 7, -5*f = -5*l for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-316)\/(-1422))\/((1\/36)\/(7\/70))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - 4. Let l = -1 - f. Let u = 0 + l. What is the smallest value in -0.3, u, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -453588208.78282336 + 453588034. Let n = h - 63.21717426. Let f = -238 - n. What is f rounded to 6 dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*a - 46 = -150 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*c**3*q**3 - 8*c**3 - 137*c*q**2 + 1570*q**3 wrt q?\nAnswer: 12*c**3 + 9420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -4 (c) 1 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -3*x + 228, 2*x + 194 + 14 = 4*h. Suppose 2*v + 0*w - 72 = 2*w, 0 = -w - 1. Let p = h - v. What is the remainder when 36 is divided by p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 651 + -655. Which is the nearest to -1? (a) s (b) -16 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - m - 8 = 0, 3*m = -5*j - 0*j + 16. Suppose 0 = -j*t + 5*t + 3. Is t greater than 3\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 - (-3 + -25) - (14 + 2)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*x**3 - 1628 - 3*x**2 + x**2 - 1143 - 2544.\nAnswer: 14*x**3 - 2*x**2 - 5315","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13748?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 9*d**2 + 15*d - 183. What are the prime factors of c(8)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1248, -754, 70, 1224?\nAnswer: 2708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1516 and 8215204.\nAnswer: 1516","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -29 + 43. Suppose 0 = 3*h + 2*r - k, -4*r = -3*h - 0*h + 26. Suppose -4*b = -0*b - 40. What is the remainder when b is divided by h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, a: 3, j: 2, n: 3, l: 4}. Give prob of sequence zja.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -117, -117, -115, -111, -105, -97?\n\"Answer: n**2 - 3*n - 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 133601?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 16*(0 + 4 + -2). What is the highest common divisor of m and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the second derivative of v**5\/70 - 2*v**4\/7 - 127*v**3\/21 - 114*v**2\/7 + 783*v. Factor u(b).\nAnswer: 2*(b - 19)*(b + 1)*(b + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3423*q**4 - 60028*q**3 + 271467545 wrt q?\nAnswer: -13692*q**3 - 180084*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*u + 8 = 41*u. Solve u*x - 4*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 4*z, -7*c + 8 = -4*c - z. Sort c, 501, -4 in decreasing order.\nAnswer: 501, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + -3. Suppose 2*c - 41 = -d. Calculate the greatest common factor of c and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -4166 and -4178 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1589, 13383, 45395, 107735, 210513, 363839, 577823?\nAnswer: 862575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2553 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 762*p + 495*p - 48895 = 368*p for p.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((-1 + -2*(sqrt(1331) - (sqrt(1331) - (sqrt(1331) - (sqrt(1331) - (5 + sqrt(1331))) - sqrt(1331)))))*-6*2)**2.\nAnswer: 17421","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 2.1, -102, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/30*(1 + 1).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -34 - -19. Let l = -9 - y. What is the nearest to l in -5\/3, 4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76\/9 <= 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 703.8565285 to one dp.\nAnswer: 703.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*r = 330492 + 289907. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 0 - (46 - 52)) + -6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (21 - (7 - -33)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*(-2)\/(6\/3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = -4*w + 4, -2*w + 72 = 5*n. Suppose i - 630 = -4*i. What is the highest common factor of i and n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3\/142 + 463\/71. Suppose -7*p + 8*p + 3*h + 14 = 0, 17 = -4*p + h. Calculate the common denominator of l and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 3*n**3\/5 - 77*n**2\/5 - 112*n\/5 + 108\/5 = 0.\nAnswer: -2, 2\/3, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4.82 + -9.49. Let m = -4.5 - b. Let a = m + -0.17192. Round a to 4 decimal places.\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/7 in -1\/11, 0, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-9) + (-8)\/(-288). Let h = 0 + 3. Which is the nearest to f? (a) -0.2 (b) h (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2 - 83*h - 162.\nAnswer: -(h + 2)*(h + 81)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5240 - 2041. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 12:57 PM?\nAnswer: 2:44 PM","meta":{"dup_signals":{},"source":"measurement__time_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: b\"What is the ath term of 53, 7, -69, -175, -311, -477?\n\"Answer: -15*a**2 - a + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 349093?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u = 3*u - 864. Let r = u + 136. Let k(g) = 11*g - 23. Let q(t) = -7*t + 15. Calculate r*q(z) - 5*k(z).\nAnswer: z - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6626350?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1\/3, 1278, -10 in decreasing order.\nAnswer: 1278, 1\/3, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/2 (b) 0.721 (c) -2\/399215\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnwwnnnnnwnnnwnwnn. Give prob of picking 4 w.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 - 0) + (-38 - -4) + -4. Which is smaller: c or -35?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.106 + -3.894. Let y = 1 + 0. Do v and y have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t**2 - 2*t**2 - 11*t**2)*(-2 - 2 + 3)*(2*t - 5*t + 6*t).\nAnswer: 30*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (7 + -5 - -40).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -43 and 27274.8168?\nAnswer: 27317.8168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 16*k**2 + 154*k - 56. Let w be a(-10). Suppose -12 = -2*y - 4. Calculate the greatest common factor of w and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21384 is divided by 39?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 966 is divided by 272.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16632 is divided by 57?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4347 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 65, 1\/19, 756, 1\/2?\nAnswer: 756","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 25 = 2*n + 5*c, -5*n - 4*c = 90. What is the units digit of (-3822)\/(-54) - 4\/n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*u + 18*u + 28 = 0. Let h be (u - 4) + 1 + 1. Suppose -5*p = -117 + h. What are the prime factors of p?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q**3\/5 - 14*q**2\/5 + 12*q\/5 = 0. What is q?\nAnswer: 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*y - 6*y = 2*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuuuu. Give prob of sequence uuu.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 - 6*f**2 + 6*f. Let y be i(-7). Suppose -11 = t - 3*u - 35, 3*t = -4*u + y. What is the remainder when 26 is divided by t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7296340?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2 (b) -6\/29 (c) -3 (d) -6\/7 (e) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 + 5*d. Let x(g) = g**3 + 10*g. Let r(l) = 5*v(l) - 2*x(l). Suppose 4*y + 16 + 0 = 0. Let m(u) = -3*u**3 - 4*u. Calculate y*r(f) - 5*m(f).\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**2 - 9*v + 2. Let t be k(-9). Let l = 0 + t. Suppose l*p - 40 = -2*p. Calculate the least common multiple of 11 and p.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25 - 59 + 316*x - 57 + 143.\nAnswer: 316*x + 2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14 and 3044994.\nAnswer: 21314958","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21\/4 - -5. Let x = -37\/3 - -194\/15. Let o be (3 - (-69)\/(-21))\/(2\/2). What is the fourth biggest value in o, x, -7, g?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -52\/145 and 17\/6249.\nAnswer: 906105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/3*3*(-3)\/6.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23, 31, 53, 95, 163, 263?\nAnswer: 401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80609400218*o**2 + 176*o**3 - 80609400218*o**2.\nAnswer: 176*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 31\/2 - 3\/6. Suppose -2*j = -4*k - 30, -3*k = 2*k + t. What is the remainder when 16 is divided by j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0323 times -0.4\nAnswer: 0.01292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -9895000 rounded to the nearest one million?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**5 + 60*a**4 - 220*a**3 + 350*a**2 - 255*a + 70.\nAnswer: -5*(a - 7)*(a - 2)*(a - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dytt when four letters picked without replacement from ytdt?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 10) to base 7\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9107*q + 74771 = -6490*q + 401896 for q.\nAnswer: -125","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o = 3*o + 52. Suppose o = 4*u - 3. Let h(s) be the third derivative of -s**5\/60 + s**4\/8 - s**3 - 46033*s**2. What is h(u)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.180916 nanograms to micrograms.\nAnswer: 0.008180916","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/2)\/(-1 - 0)*-1. Let y be (-1 - -2 - 2) + 77. Suppose 2*l - 6*l + y = 3*f, 5*l - 3*f - 122 = 0. Solve l = 5*g + t for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3230200233 (base 4) to base 10.\nAnswer: 968751","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + 0. Suppose -y*s + 144 = i + 4*i, 2*i - 3*s - 66 = 0. Suppose 0 = -5*u - 15, -6*t - u + i = -3*t. What is the remainder when 31 is divided by t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -3*f - 2*f. Let y(m) = 3*m**2 - 3*m + 5. Is y(f) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130*l - 62*l = 54*l. Which is the closest to 40? (a) -16 (b) l (c) -1 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g + 9. Let h be (-1)\/(-2)*(-10 + -10). Let n be w(h). Let c be (-6)\/(-3)*(-1)\/5. What is the second biggest value in -3\/2, n, c?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2\/3 - 15170632*p\/3 - 57537018819856\/3.\nAnswer: -(p + 7585316)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + 3*o - 4, 5*o = 2*u + 1. Which is the closest to 2\/3? (a) -180 (b) u (c) -1\/5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 328.9833l?\nAnswer: 328983.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 15a838 + -10?\nAnswer: 15a828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -566*f + 4628 = 100 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32 + (-42 - -42) + 12.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 - h**2 - 6. Let z(i) = -7*i**3 - 322*i**2 + 635*i - 354. Let x(o) = -6*k(o) + z(o). Suppose x(n) = 0. Calculate n.\nAnswer: -318, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -360 - 262?\nAnswer: -652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of -c**5\/50 - c**4\/15 - c**3\/15 - 17*c + 9. Let m(b) be the first derivative of f(b). Let m(p) = 0. Calculate p.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b**4 + 5*b**2. Let w = -13 - -16. Let z(o) = -2*o**4 - 5*o**2. Let y(s) = w*x(s) + 4*z(s). What is the third derivative of y(h) wrt h?\nAnswer: -48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2289300 to the nearest 100000.\nAnswer: 2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, 5.6, -1 in increasing order.\nAnswer: -19, -1, 5.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 153*l**2 - 2*l + 3. What are the prime factors of u(1)?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -828\/5 and -166 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18187 - -4939. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -94 + (13\/(-5) - 9\/(-15)). Find the common denominator of -71\/20 and (-182)\/w + 17\/102.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -44*a*m**3*u - 3*a*m**3 - a - 314*m**2*u wrt m?\nAnswer: -264*a*u - 18*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4922 - 2392. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2652 in 1, -93, 2, -1\/4, 2\/7?\nAnswer: -93","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7909997989?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 11) in base 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1466276?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1243.152 tonnes?\nAnswer: 1243152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 388377239 is divided by 305?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*t - 6*t - 230. Let q = 167 - t. What are the prime factors of q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*b - 330 = 47*b + 66*b for b.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -2*g**2 + 5*g - 2. Let z(y) = -6*y**2 + 15*y - 6. Calculate 8*s(p) - 3*z(p).\nAnswer: 2*p**2 - 5*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n. Let p(x) = -30*x**2 + 1088*x. Determine l(p(i)).\nAnswer: 30*i**2 - 1088*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 187530\/33810 + (-17 - (-8855)\/529)?\nAnswer: 37\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1957, 4, 0, 2, 17, 5 in descending order.\nAnswer: 1957, 17, 5, 4, 2, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + w + 5*k = -7359, w - 7319 = -3*k. Suppose 6*g - 25166 + w = 0. Let -a**3 - g*a**4 + 3*a**3 + a**2 + 2973*a**4 = 0. Calculate a.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5077 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -6, -27, 4, 1\/4?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2703.85 grams to micrograms.\nAnswer: 2703850000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, 3, 1\/5, -2375.\nAnswer: -2375, -3\/2, 1\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*j + 108 = -25*j. Let p be 8\/(-6) - 198\/j. Let m = 53 - 53. Which is the nearest to -1? (a) p (b) 4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/7 (b) -15274\/19 (c) -38\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = -b + 1. Suppose b - 14 = -x. Let i = 55 + -31. What is the remainder when i is divided by x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1386 and (6\/10)\/((-105)\/(-69300)).\nAnswer: 2772","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -68) + -69 - (0 - 31).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -322 (base 7) in base 6?\nAnswer: -431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -5512 + 5509 + 4*y**4 + 17*y**2 - 22*y**3 - 19*y**2 in the form g*y**2 + j*y + a*y**3 + s + d*y**4 and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 537543 (base 10) in base 6?\nAnswer: 15304343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18 - -45. Suppose -j = -2*b + g, 3*b - 8 = -2*j + 15. Is (17975\/(-20))\/(b\/4 + -3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/15*(1\/(-2))\/((-63)\/(-70))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 + 77*x**2 + 200*x - 200. Give r(-74).\nAnswer: 1428","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (1 - 6 - -7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 5)*(q - 3*q + 0*q) - q - 3*q + 3*q + 2 - 2*q - 2 + (3 - 1 + 0)*(2*q - 3*q - q) + 3*q + 2*q - 3*q - 10*q + 35*q + 21*q.\nAnswer: 39*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3565, 3790, 4015?\n\"Answer: 225*c + 3340","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 938?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 16321\/209 - (-2)\/(-22)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (0 - (-11 - -7)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 7:35 AM?\nAnswer: 4:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 32863?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-10)\/(-14) - 1) + 0. Suppose 0 = -t - 4*i + 6, 5*t - 6 - 8 = -4*i. Suppose o + t = -1. Which is the second smallest value? (a) 2 (b) s (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36\/(-192))\/((1071\/(-884))\/21).\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j + 5. Let p be v(0). Suppose 4*l = p*l - 2. Is 6 + (-2)\/4*l a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 703 - 238. Suppose -7*h + y + 585 = 0. What is the highest common factor of h and 60?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b**23*b)\/b)\/b)**(2\/21)\/(b**(15\/4))**26)**(2\/39) assuming b is positive.\nAnswer: b**(-4007\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 62, 69, 76?\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -45497, -44142, -41887, -38738, -34701, -29782?\nAnswer: -23987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -2, 3, -0.5, 51\/7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 68670.8um in kilometers?\nAnswer: 0.0000686708","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**2 - 1572*p + 1317 - 1552 - 1341.\nAnswer: 4*(p - 394)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -10*r**2 + 0*r**2 + 2*r**2 + 9*r**2. Let b(t) = -10*t. Determine l(b(i)).\nAnswer: 100*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -336 + 335. Let s(z) = -4*z**2 - 6*z - 1. Let g be s(j). Let k = 106 - 329\/3. Put 4, -3, g, k in increasing order.\nAnswer: k, -3, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -130 - d**2 - 4*d + 130 as p + c*d**2 + v*d and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 126 + 26. Let i = q + -3. Let z(x) = -28*x + 7. Let c be z(-11). What is the greatest common factor of c and i?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**5*(i*i\/(i**(5\/6)\/i))\/i*((i\/(i*i\/(i\/i**2)))\/i)**(-46) assuming i is positive.\nAnswer: i**(865\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -15 - 4617\/(-297) - 1265494\/(-22) a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 230 = -4*z + k + k, z + 57 = k. Let y = z + 122. Suppose -d - 3*d = -y. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 220\/14727301?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a litre in millilitres?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123*n - 11844 = -129*n for n.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1693)\/(-12))\/((120\/50)\/3). Let t = m - 529\/3. What is the common denominator of -42\/11 and t?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, 24, -4, 442, 0 in descending order.\nAnswer: 442, 24, 2, 1, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 13599493 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3\/38 (b) -2 (c) 4 (d) -0.8 (e) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5588, 5193, 4556, 3665, 2508?\nAnswer: 1073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/28 - (-936)\/(-182)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33\/((-18)\/24*-6)*19\/(-57).\nAnswer: -22\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-5)\/2)\/((-10)\/40). Suppose 2*c + 0 = -4*m - 2, a = 2*c - 2*m. Suppose 59 = c*t - 106. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21 - -25. Suppose -u*q - 186 = 5*j, -3*q = -3*j - 0*q - 90. Let y = 5 - j. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 67057?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/10 and ((-1168)\/(-40))\/((-672)\/(-20) + 4).\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-2\/43)*k**(1\/61))**(2\/11) assuming k is positive.\nAnswer: k**(5576\/28853)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.25759 and -0.11.\nAnswer: -0.0283349","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 455148821 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/(-3))\/((-18)\/(-81)). Suppose y - r*y + 8 = 0. Solve y*z - 1 = 3 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.34 + 0.06. Let o = -0.76 - 0.24. What is the third biggest value in o, p, -0.2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 56 + 10. What are the prime factors of i?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 30083*k**2 + 40755 with respect to k.\nAnswer: 60166*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 4*s**2 + 113*s + 42. Determine w(-25).\nAnswer: -283","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b + 8. Let o = 169 - 160. Let y(a) = o + a + 6 - a - 2*a. Calculate -7*f(d) + 4*y(d).\nAnswer: -d + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 0.04, 475?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -130*g - 174*g + 142*g. Let l(z) = 2*z. Give u(l(a)).\nAnswer: -324*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2.1555, -4, -3, -0.4?\nAnswer: -2.1555","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1168606 or 1168612?\nAnswer: 1168612","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of d**3\/3 + d**2\/2 - d - 8. Give r(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -37*b**2*i**3 - 2051*b*i**3 + 178508*i**3 wrt b.\nAnswer: -74*b*i**3 - 2051*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.1 - -0.1. Let y = 0.1 - -2.9. Let m = 121771 - 121770.7. What is the nearest to 1\/4 in y, m, r?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 694839?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v*v**(1\/12))\/v**(-14\/5))\/(v**(-1\/7)\/(v**3\/v)) assuming v is positive.\nAnswer: v**(2951\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 9) to base 8.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 43*v**2 + 480003*v - 11 - 480002*v + 2 to c*v + f + t*v**2 and give f.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 2*f - 10. Let u(c) = -24*c**2 + f*c**2 - c**3 + c + 15*c**2. Let m be u(0). Let k(l) = l - 6. What is k(m)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -7*b**3 + 160*b**2 - 15. Let z = 89 - 83. Let k(v) = -6*v**3 + 161*v**2 - 18. Let w(x) = z*m(x) - 5*k(x). Find the third derivative of w(c) wrt c.\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -0*q + q. Let d = -15 + q. Let m = d - -18. Does 6 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2\/11 - 72*o\/11 + 520\/11.\nAnswer: 2*(o - 26)*(o - 10)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -162611 (base 10) in base 14?\nAnswer: -43391","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -x - 4*x. Let a be ((-1)\/2)\/(x\/(-16)). Does 2 = a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/225*(((-20)\/(-24))\/5)\/((-6)\/(-48))?\nAnswer: 4\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 4 + 2)*(4 + 3 - 3) + 48 - 130 - 6)*(-3*o - 4*o**3 + 3*o).\nAnswer: 384*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7591866?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 - -12. Let u be n + 3 + -1 - 49002. What is u rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 - 12*f - 23. Let s be l(-2). Solve 3*i + 14 = 2*b, s*b = -3*i + 6*i + 17 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + 1. Let o be (-6)\/(-15) - (-12)\/20. Let r = m + o. Solve 3*f + 0*f + r*i + 17 = 0, 4*i + 20 = 4*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -157419\/13 - -12109. What is the closest to -85 in 0.3, 4, -0.6, x?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 435 + -422. Suppose 0 = -u*p + 11*p + 28522. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 5*n + 1666 = 0, -2*n - 413 = -f - 5*n. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*w + 34*w**3 - 15*w**3 - 6*w wrt w?\nAnswer: 114*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 221.598477 microseconds in days?\nAnswer: 0.0000000025647971875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1642727 is divided by 102629?\nAnswer: 663","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(12)\/(sqrt(4)*-4*-5) + -1*(sqrt(432) + -1))*-2)**2*3.\nAnswer: -1434*sqrt(3)\/5 + 515289\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iit when three letters picked without replacement from {j: 1, u: 3, e: 3, f: 2, i: 7, t: 1}.\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6197 is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -104.15+10\nAnswer: -94.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -6*z - 18*z + 4933318. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/31)*g\/(g*g**(-8)))**(-47) assuming g is positive.\nAnswer: g**(-11562\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36163 is divided by 108.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of 1\/6*q**3 + 42*q + 1\/36*q**4 + 0 + 1\/3*q**2. Factor i(r).\nAnswer: (r + 1)*(r + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 4*s + 21 = 0, -3*s + s + 8 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + 41611?\nAnswer: 4160b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - 1. Let m(n) = 5*n - 8. Let y be m(d). List the prime factors of (y\/(-6))\/(7\/21).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12 - -1100111312310?\nAnswer: 1100111312322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**1\/(u\/(u*u*u**(-7))))**(1\/2)*((u**(4\/7)\/u)\/u**7)\/(u**(5\/3)*u\/(u\/u**(3\/2)*u)) assuming u is positive.\nAnswer: u**(-254\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4463151283 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7.15 - -6.15. Which is the closest to s? (a) 3\/7 (b) 2 (c) 1.24 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -0.05, -89?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/301668 and -13\/118044.\nAnswer: 2715012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2574.35*-0.35\nAnswer: -901.0225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 150521 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**0\/z**(-1\/7))**(11\/4)\/(z**5*z**(-3)*(((z*z\/z**(2\/3))\/z*z)\/z)\/z**(3\/4)) assuming z is positive.\nAnswer: z**(-25\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.084 and 43?\nAnswer: 43.084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 - 7*n - 22 - 6*n + 10*n - 67.\nAnswer: -3*n - 106","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 74375 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 2*u - 14 = -3*n, 0 = 2*n + u - 6 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 131\/(-393)*(-18)\/(-68)*1\/3*-22.\nAnswer: 11\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 36, -1, 11 in ascending order.\nAnswer: -1, 10, 11, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -16*f - 50 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 876?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7426196?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 4*q - 2. Let v(r) = -3 + 15*r - 40*r + 18*r + 8*r + 3*r. Determine 6*f(n) - 7*v(n).\nAnswer: -4*n + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9663348 is divided by 79862.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.7 + 0.1. Let r = 0.3 + z. Let t = -39\/86 + -2\/43. Which is the second smallest value? (a) t (b) 4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 79 - 177. Let t = -106 - j. What is the nearest to 2\/5 in -0.1, t, -0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 149, 126, 113, 116, 141, 194, 281, 408?\nAnswer: 581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 16236\/58 + (-16800)\/(-1392) + 1 + -13. Is 286 < y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/(-3)*-3)\/9. Let f be 3\/(-12) - 3\/4. Let y = -0.17 - -0.07. Which is the second biggest value? (a) o (b) y (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/14 - (2 + 1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(204) + sqrt(204)*-3*3)*1)\/(sqrt(60)\/(sqrt(15)\/sqrt(3)) - (sqrt(72) + -2*sqrt(72))\/sqrt(6)).\nAnswer: -4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -2*z**3 + z**3 + 2 + 9*z + 2*z**2 - 13*z. Suppose -5*l + 1 + 1 = 4*k, 9 = k - 3*l. Let c be 22\/12 - k\/(-18). What is g(c)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a century in decades?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 63403 greater than or equal to 2916597\/46?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 at least -65\/5037?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 6*t + t = 83, t = 5*l - 131. Suppose 2*u - 3*a = 53, 5*u + 0*u + 3*a - 185 = 0. Let g = u - l. What is the closest to -0.1 in 4, g, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 2*j - 5. Let w = 229 + -226. Calculate n(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 - 6*n**2 - 39*n - 166. Let q be r(-5). Let a be (0 + -2 + 0)\/(-1). Solve a*p + 0*p = -q for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 7 = -1. Suppose -2*m - 8 = -2*w - 6*m, w - 4 = j*m. Suppose -24 = p - 5*p. Calculate the remainder when p is divided by w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of -i**4\/12 + 5*i**3\/6 + 3*i**2\/2 - 48*i. Determine u(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1754605 a multiple of 515?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-59)\/3*(50 + -371)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 2*k = 2*k + 15, 4*l - 48 = 4*k. Suppose -6*i = -i + 5*x - 40, 2*i + x - l = 0. Suppose 428 = i*g + t + 4*t, -2*t = -2*g + 264. Is 24 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -667409 (base 10) to base 11\nAnswer: -416486","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*n**5 - 260829*n**3*z**2 - n**2*z**2 - n**2*z + 5*n**2 - 1803*z wrt n.\nAnswer: -120*n**2 - 1564974*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 + (-3 - -5))*2\/5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1005886, 2011773, 3017660, 4023547?\n\"Answer: 1005887*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-6355)\/(-20) - 2\/(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z**(-7)\/z))\/(z*z**3\/z))\/(z**1\/(z*z**(-5))) assuming z is positive.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i + 0*i + i)*(7 + 7 + 0)*(i - i + 2*i)*(-1 - 1 + 4).\nAnswer: -112*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/((1 - 2)\/6*9). Factor 48*j + 62*j**3 - 78*j**3 - 80*j**2 - d*j**4 + 52*j**3.\nAnswer: -4*j*(j - 6)*(j - 2)*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 - 7*p**2 + 3*p - 1. Let k(x) = -394*x + 403. What is the remainder when l(-8) is divided by k(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1264 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/38860 and 39\/103994?\nAnswer: 69675980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6649 + 6873. Calculate the remainder when i is divided by 23.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 2\/17 (b) 1\/5 (c) -186\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/8 + -3 + (-532)\/(-144).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4508286 and 795.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -10, 6, 46, 122, 246?\n\"Answer: 2*t**3 + 2*t - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 832 = -802. Suppose -k*a + 115 = -215. Calculate the highest common factor of a and 462.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -111407\/657100 + -3\/6571. Let c = -13908 + 1390731\/100. Calculate the common denominator of c and m.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 75808 + -75808.00033489. What is d rounded to 4 dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 487331 and -0.0001 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/42080 and -11\/56.\nAnswer: 294560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + 37. What is the remainder when d is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s + 8. Let j be c(4). Let t(y) be the third derivative of -1\/12*y**j + 0 + y**2 + 0*y + 1\/30*y**5 - 1\/3*y**3 + 1\/60*y**6. Factor t(x).\nAnswer: 2*(x - 1)*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - -1. Suppose -11 + 27 = c*i. What is the smallest common multiple of 5 and i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 363477 to the power of 1\/3, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 6 = -0. Let t be 1\/(1\/k) + 1. Solve -t*w + 2 = 17, -w - 4 = y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 194*v**3 - 2*v**2 - v. Let b be o(-2). Let y be (0 - 3)*b\/114. Let g = -78 + 201. Calculate the greatest common divisor of g and y.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the second derivative of -h**5\/30 - h**4\/3 - 4*h**3\/3 - 8*h**2\/3 - 2*h. Let k(n) = 0. Calculate n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -63*w + 65*w + 3035, -5*w - 2005 = 2*i. Let r = i + 3047\/3. Factor -1\/3*q**5 - 1\/3 - 1\/3*q**4 + 2\/3*q**3 + r*q**2 - 1\/3*q.\nAnswer: -(q - 1)**2*(q + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 48731 + -48668. Solve 136 = -p*d - 53 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001646884 to 5 dps.\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of -11*u**2\/2 + 9*u + 457. Determine k(2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 40*v. Let j(u) = -5*u. Let f(q) = -70*q. Let n(z) = -6*f(z) + 85*j(z). What is l(n(w))?\nAnswer: -200*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 9*o**2 + 5. Let k = 12 + -9. What is the tens digit of i(k)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.01, 5, -1, 13, -4, -4\/7, 0 in decreasing order.\nAnswer: 13, 5, 0, -0.01, -4\/7, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (102 - -334) + -4*1 + -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3996*n*v - 9696*n - 2*v + 9114370 wrt n?\nAnswer: -3996*v - 9696","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15260975231 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2985\/8358*(-2 + 268\/120).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2112*m + 2101*m = -77. Solve 4*s - r - 17 = 0, 7*r + m = 3*s + 12*r for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 13*k + 7. What is a(-8)?\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*c = 4*c - 2*v - 19, -3*c - 3*v - 21 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)*-3 - sqrt(12))**2 + sqrt(12) + (-2*sqrt(3) - sqrt(3))**2*6.\nAnswer: 2*sqrt(3) + 354","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (24\/(-10))\/((-12)\/(-40)). Let b = t + 23. Suppose w - 3*u = 6*w - 591, -5*u = 3*w - 345. What is the highest common factor of b and w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*x - 44*x + 35*x + 12.\nAnswer: -23*x + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 40129\/73590 - -1\/6690. What is the closest to a in -0.06, -1\/4, -4?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**0\/(t**10\/t)*t\/(t\/t**5)*t**(-3\/8) assuming t is positive.\nAnswer: t**(-35\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -42.8113 rounded to one decimal place?\nAnswer: -42.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -969 + 972. Suppose -p + z*k = -2884, 5*p = -0*k - 2*k + 14505. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -39+21107\nAnswer: 21068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10\/313 in 1\/5, -27, 2, -1, -3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 2 - 779*o + 780*o in the form r*o + a and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2680 (base 9) in base 6?\nAnswer: 13200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9\/1247503 or 1?\nAnswer: 9\/1247503","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 63*i - 60. Let r be v(2). Let b(u) = 2*u - 6. Let l be b(6). Calculate the highest common divisor of l and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18280 divided by -24?\nAnswer: 2285\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of -6*k + 0*k**2 + 1\/6*k**4 + 0*k**3 + 0*k**6 + 1\/7*k**7 + 0*k**5 + 0. What is the third derivative of q(y) wrt y?\nAnswer: 360*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2973 at least as big as -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -6*h**2 + 19*h**2 + 2*h**2. Let m(d) = 11*d**2 + 13*d. Let l(u) = -5*u**2 - 6*u. Let i(a) = -13*l(a) - 6*m(a). Give w(i(y)).\nAnswer: 15*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*n + 2*j - 31, -11236*j = 5*n - 11238*j - 25 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 75 + 11 + 17 + -66?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -5, -1.4, -0.042, 2\/3?\nAnswer: -0.042","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 5*h**2 - 42*h + 184. Let s be k(4). Calculate the highest common divisor of 1632 and s.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 2*v + 21. Is t(-9) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1364?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -18*r**3 + 251*r**2 + 23*r - 47. Let y be f(14). Sort -2, y, 4, -1, 1.\nAnswer: -2, -1, 1, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -4*c**2 + 6*c. Let i(j) = 9*j**2 - 16*j. Let t(o) = 4*o**2 - 7*o. Let f(v) = -3*i(v) + 7*t(v). Determine b(g) + 6*f(g).\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 + -4. Let v = 12 + y. Suppose v*u = -u. Solve u = -2*g + k + 3 - 5, -2*k - 5 = 5*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-60)\/(-9) + (-4)\/6. Suppose 4*w + 2*y - 1170 = 0, -w + x*w = -y + 1458. Suppose -2*v - v = -w. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17273 + 259097\/15. Factor -4\/15*t + 2\/15*t**2 + b.\nAnswer: 2*(t - 1)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = c - 2184 + 398. What is the greatest common factor of 72 and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 350.38275 and 0.05.\nAnswer: 350.43275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 214b - 289?\nAnswer: 1ca2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 125336*m**3 - 67877*m**2 wrt m.\nAnswer: 752016","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/3))**(-1\/32)*(i**6*i*i)\/i*i*i**(-2\/7) assuming i is positive.\nAnswer: i**(2585\/336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 12\/25 of a gram?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 + 3*c**2 + 2*c + 3. Let s be h(4). Let a(k) = -3*k**3 - 113*k**2 - 73*k + 38. Let l be a(-37). Sort 0, -3, l, s in increasing order.\nAnswer: s, -3, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 274.1 - 274. Let i = 10 + -8. What is the nearest to d in 2\/5, i, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-1*-6*2*sqrt(170))\/(((2*sqrt(270))\/sqrt(9))\/(-6*sqrt(27))).\nAnswer: -648*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -49517 * -5576.\nAnswer: 276106792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the third derivative of -j**5\/60 + j**4\/8 + j**2. Let n(o) = 3 + 10*o - 12*o - 9. Let d be n(-5). Determine l(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -14886 (b) 1 (c) -5\/4 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*x**2 - 30*x**2 - 31*x**2 + (2*x + x - 4*x)*(5 - 5 + x) in the form z*x**2 + j + l*x and give z.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -631108*4.\nAnswer: -2524432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -ce - 1cba?\nAnswer: -1d99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -3*h - 3. Let y(j) = 3*j + 10. Let l(g) = -7*g - 19. Let f(s) = -3*l(s) - 5*y(s). Determine 4*f(k) + 9*t(k).\nAnswer: -3*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 - 4*f**2 - 3*f. Suppose 5*h = 3*y, -6*y = 5*h - 3*y + 30. Determine n(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 2 + 2. Suppose 55 = 7*q - j*q. What is the remainder when q is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 98 - 95. Let h(v) = 3*v - 11 + 6 + m. What is h(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (12\/36)\/(1\/129). What is the highest common divisor of x and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 3*w + 5*w + 542, -2*m = 5*w + 251. Let k(z) = -z**3 - 2*z**2 - 8*z + 6. Let j be k(-6). Let y = m + j. What are the prime factors of y?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (72 + 45*w - 72)*((2 + 1 - 2)*(-3 - 1 + 3) - 1 + 2 + 0 + 2 + 3 - 3).\nAnswer: 90*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*a**2 - 3*a**2 - 2*a**5 + (-2*a - 2*a + 3*a)*(-15*a**4 + 47*a**4 + 71*a**4).\nAnswer: -105*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/5*g**3 + 2\/5*g + g**2 + 0.\nAnswer: g*(g + 2)*(2*g + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 34510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -219.\nAnswer: 2\/219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -383 + 375 = 2*r - 5*j, -2*j = -4 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 + 6*v**2 + 9*v - 4. Determine c(6).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26 and 905801?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jyjy when four letters picked without replacement from {r: 1, y: 6, a: 1, s: 2, j: 3}.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -37, 5, -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3*3\/9)\/((-18)\/(-4))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2 + 209*d - 820.\nAnswer: -(d - 205)*(d - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.489 rounded to 1 decimal place?\nAnswer: 7.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 370196197*p**2*u**3 - 168*p**2*u**2*y**2 + 582*p**2*u**2 + 2*p**2*u*y**2 - 3*p**2*y**2 + u**3*y**2 wrt u?\nAnswer: 2221177182*p**2 + 6*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17113*g + 9*g**2 + 1007*g - 31018*g.\nAnswer: 9*g**2 - 47124*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -113.6 - -114. Sort h, 27, 3\/5 in ascending order.\nAnswer: h, 3\/5, 27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2\/5, -4, 4, -2\/365, -2\/7 in decreasing order.\nAnswer: 4, 2\/5, -2\/365, -2\/7, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 l when two letters picked without replacement from {v: 1, m: 1, y: 1, l: 3, g: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-13776)\/(-8036))\/(18\/33))\/((-12)\/7)?\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= -3\/1180?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yfkyoyffoookofokol. What is prob of picking 2 o?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 4*s = -142 + 218, 0 = 3*a + s - 49 for a.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 103 and -175.9.\nAnswer: -72.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -21844 divided by -5461?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 405 - 232. Let u = p + 144. Is 13 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3669761 and -0.1?\nAnswer: -0.03669761","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -58, -115, -172, -229, -286?\nAnswer: -343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 10 = 54. What are the prime factors of g + 13 + 11*3?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 + 80*x**2 - 144*x - 940. Give v(78).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24038 and 84?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of p**6\/12 - p**5\/5 - 2*p**3 + 4*p**2. Let i(v) = v**3 - v**2 - 1. What is -12*i(k) + m(k)?\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1002 + 989 + (-62 - (0 + 0)) + -8?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 308\/60 - 4\/30. Suppose 12 = 3*z - a, -2*a - 24 = -v*z + a. Let u(h) = -2*h - 7. Let w(c) = -c - 3. What is z*u(i) - 7*w(i)?\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-9))\/((-28)\/6)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4234935 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g**2 + 0*g + 0*g + (3 + 4 - 5)*(-g**2 - g**2 + 0*g**2) + 5*g + 2*g**2 - 4*g**2 - 2*g - 2 + 2 - 2*g**2.\nAnswer: -10*g**2 + 3*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 796 - 564. Suppose 0 = -2*y - 16 + c. Suppose -q - q - 2 = 0, -5*u - 2*q + 138 = 0. Calculate the remainder when y is divided by u.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -6*c + 95. Solve -4*b - 2*o - c = 0, -6*o + 2*o = -4 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r = 5*x - 19, 2*r + 120 - 136 = -2*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 154*w. Let b(n) = 10*n**2. Give b(t(r)).\nAnswer: 237160*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 38\/14 + 2\/7. Let o = 176 + -159.62. Let p = o + -16.58. What is the biggest value in y, -13, p?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9*i + 12 - 13 + 16 + 0*i wrt i?\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*b = -4*b - 40. Suppose -4*t - 470 = -t + 4*u, t + b*u + 156 = 0. Is -158 less than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 + 12*c**2 - 4*c - 13. Let u(a) = -a**3 - 18*a**2 - 19*a - 23. Let n be u(-17). What is the units digit of x(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 + j**2 - j + 2. Let k be q(-2). Let v(l) = -13*l**2 + 131*l - 13. Let d be v(10). Let c be (1 + -2 - d) + k. Is 1 equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -16e (base 16) to base 10\nAnswer: -366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f + 25 = 3*f. Let x be 2\/4 + (-18135)\/126 + -2. Let t = x + 146. Which is the fourth smallest value? (a) t (b) f (c) -1.5 (d) 4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 16 = 4*x, -4*q - x + 4*x = 11. Suppose 5318*l - 5321*l - 12 = 0. Sort q, -10, l.\nAnswer: -10, l, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 66*d**2 - 23*d**2 + 1 - 42*d**2.\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -57 + 31. Let t = w - -12. Let r = t - -13.999942. What is r rounded to 5 decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = 1\/401?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -558 = -69*b + 2340. Calculate the remainder when 128 is divided by b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 AM and 2:12 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 758\/8 - ((-8)\/(-32))\/(-1). What is the highest common factor of q and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 132095?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -2337*k**2 - 2331*k - 1. Determine d(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-66196)\/20368 - 1119\/(-348)?\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 4 + 1. Find the third derivative of -f*z**3 - 3*z**6 + 3*z**3 + 0*z**2 - 4*z**2 wrt z.\nAnswer: -360*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 112 - 16. Let y = f - -259. Let z = -2453\/8 + y. Find the common denominator of -27\/11 and z.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 13) in base 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 13*t. Let i(s) = 352*s. Let g be 195\/39*(-3)\/5. Determine g*i(p) + 80*a(p).\nAnswer: -16*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 32*z + 2940. What is h(-101)?\nAnswer: -292","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 30\/4 + 690\/460\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.06? (a) -11\/2723 (b) 2 (c) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-36))\/(3*(-1)\/9).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -154676754231*x**3 - 2 + 154676754238*x**3 + 0 - 2 + 4.\nAnswer: 7*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6554?\nAnswer: 2, 29, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 420.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 216\/18*124\/(-186)*2\/(-18)?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*i + 27 - 22 + 2*i + (2 + 3 - 3)*(-4*i - 2*i + 4*i))*(-2*i - i + 2*i) in the form u*i**2 + l + h*i and give h.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76*z**3 + 9*z - 7*z + 6*z**3 + 7.\nAnswer: -70*z**3 + 2*z + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -161\/78 + 123887\/59982. Is o < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, 2\/9, -0.022522?\nAnswer: -0.022522","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -i - 7, 694*f = 699*f - 5*i. Let h(w) = w**3 - 9*w**2 - 9*w - 1. Let o be h(10). Solve f*s = -2 + o for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the second derivative of f**5\/20 - f**4\/2 - 11*f**3\/6 + 35*f**2\/2 + 3*f - 1. Let y be z(7). Solve 11 = 9*m - y for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -252\/29 smaller than -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 PM and 1:05 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -6*s**2 + 5*s + 4. Let q(b) = 7*b**2 - 6*b - 5. Let t be 100\/30*18\/10. What is t*p(l) + 5*q(l)?\nAnswer: -l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -7*j**2 + 2*j. Let r(c) = 14*c**2 - 4*c. Let q(x) = 6*r(x) + 11*w(x). Find the second derivative of q(a) wrt a.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 442758411?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100111011010 + -1011001?\nAnswer: -101000110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 50*l**2 - 88 + 88 + (l - 3 + 3)*(-3*l - 3*l + 4*l) - l**2 + l**2 - 6*l**2.\nAnswer: 42*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 514, 524, 518, 496?\n\"Answer: -8*u**2 + 34*u + 488","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 46\/255 - ((1 - (-81)\/(-45)) + (-5)\/(-5))\nAnswer: -1\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 120*b**3 + 36*b + 22*b - 128*b + 70*b.\nAnswer: 120*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2*-3*2\/12 + 4. Let s be 3\/(b\/(-4))*(-61)\/2. Suppose 0 = 3*o - 4*j + 107, 4*o + 5*j + s = -0. Is o != -34?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -14*n - 62. Let i(k) = k**3 - 25*k**2 - 123*k + 1089. Let v be i(28). What is f(v)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*x**4 - 3 - 2*x**3 + 7*x**4 - 6*x**4 in the form b + l*x**2 + u*x**4 + o*x + q*x**3 and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of 10*o**6\/3 - 50*o**2 + 318*o. Find the first derivative of j(b) wrt b.\nAnswer: 400*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 673 - 673.269. Let i = -0.023 - k. Let q = i + -0.245757. Round q to 5 dps.\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + -3. Let j = 1.1 + 2.9. Let q = 4.3 - j. What is the closest to 1 in w, q, -0.2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 316*d + 4 = 314*d, 2*r = 5*d + 34 for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 2)*(-3*z**4 + 8*z**4 + 10*z**4 - z**4 + 0*z**2 + 0*z**2 + (3*z**3 - 5*z**3 + z**3)*(z + 2*z - 5*z)).\nAnswer: -16*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -220970 < -1988743\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -60 (base 11) in base 13?\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of 3*j**3 + 3*j**2 + 13. Let s(d) = d**2 + d. Determine -6*s(y) + w(y).\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*m*p**5 + 471*m*p**4 - 37*m*p**2 + 1006*m*p + 4*m - 8*p - 2 wrt p.\nAnswer: 60*m*p**3 + 5652*m*p**2 - 74*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 964 is divided by (8\/(-6)*(-16)\/32)\/((-4)\/(-1158)).\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*l**2 - 5*l**2 + 5*l**2 + l**2 + 3*l**2.\nAnswer: 9*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 560 divided by -560.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 232 - 3014?\nAnswer: -2232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 54, 186 in decreasing order.\nAnswer: 186, 54, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2164 (base 9) in base 16?\nAnswer: -63d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -2*h + 171. Let f = 1199\/7 - h. What is the closest to f in -0.3, -2, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -510, -511, -512, -513, -514, -515?\nAnswer: -516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.15 and -53.41.\nAnswer: -8.0115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*n**3 - n**3 - 5*n**3 - 34*n**3 - 15.\nAnswer: -8*n**3 - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 7 = h - 5*o, -2*h - 5*o + 38 = 0. Suppose i - 5*i = 2*u - 6, -3*u + i = -h. Suppose 20 = u*v + v. Solve 6*l + v = l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**3 + 13*c**2 + 34*c - 16. Let q be b(-6). What is the highest common factor of 56 and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42351 is divided by 1149?\nAnswer: 987","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -74 - -74.5. What is the fourth biggest value in -3, m, -0.04, -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.071 + -1.03. Round a to two decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29186846, 58373689, 87560532?\nAnswer: 116747375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11110010011110001101111 + 11011?\nAnswer: 11110010011110010001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1*(-15328)\/(-8) + (-12 - -7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90*g + 20652342 = 188*g. What are the prime factors of g?\nAnswer: 3, 24763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/(-30))\/(13 + 105\/(-8))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01077008 rounded to 4 dps?\nAnswer: -0.0108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lr when two letters picked without replacement from lllrllllllrl.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from hhhccchhhhcch.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/10054 and -15\/2344.\nAnswer: 11783288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16 + 16. Suppose 5*i + 2 = u, u = -t*i + 3*i + 2. Let d(j) = j**2 - 2*j - 4. Let m be d(4). Solve g = -x - 3 + u, 2 = m*x + g for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*n + 82 = -2*d, 95*d + 3*n + 39 = 98*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 106 divided by -53\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4290\/(-9))\/((-13134)\/1791).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1553840 is divided by 212.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75296897 is divided by 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -29*l - 69. Calculate t(-3).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*g + 14*g + 168. Calculate the least common multiple of 4 and g.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1003315?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -10102 - 0?\nAnswer: -10102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, t: 8, f: 1, v: 4}. Give prob of sequence tl.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 - 12*t**2 + 92*t + 1113. Let h be s(-13). Solve -h*x = -97*x + 55 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 15) in base 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 4 - 6*v)*(2 + 8 - 6) to the form i*v + z and give i.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 58769*r**6 - 11*r**4 + 7*r**3 - 11*r**2 + 12313*r + 58 wrt r?\nAnswer: 7052280*r**3 - 264*r + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -4*z + 4*x + 5, x + 3 = -5*z. Solve z = 6*k - 3*k + 3*a - 21, -27 = -5*k - 3*a for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c - 4*c + 3*c)*(-10*c**4 + 9*c**3 - 9*c**3 + (-c**2 - 3 + 3)*(4*c**2 - 2*c**2 + 0*c**2)).\nAnswer: -24*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.0809934 - 0.081. What is n rounded to six decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**4 + p**3 - 1. Let s(n) = 135*n**4 - 2*n**3 + 4*n + 1. Let t = -585 - -586. Let m(j) = t*s(j) + 2*h(j). Find the second derivative of m(c) wrt c.\nAnswer: 1644*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*i - 565 = -500 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/(-15)*(25 + 5). Calculate the least common multiple of (4\/d)\/(1\/24) and 5.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 40.2 + -45.2. Which is the nearest to -2? (a) 983 (b) x (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*g + 4547867 = 3*d - 42*g, g = -2*d + 3031912. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 at least 584853?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -13\/2 - 7*v - 1\/2*v**2.\nAnswer: -(v + 1)*(v + 13)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4234 - -7127. List the prime factors of u.\nAnswer: 11, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 519955?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12388 - 12277. Sort -70, 0, i in descending order.\nAnswer: i, 0, -70","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21)\/((-441)\/(-14))*3\/4.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 43413577?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 798134812?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - s - 183 = -3*w, -3*s = 3. List the prime factors of 10621\/w + (-2)\/(-7).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 32 and 288.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.78 + 0.68. Let b = -2.4 + 2. What is the nearest to u in b, -4, -2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -5*z. Let y = -4 - -1. Let x be z\/((-2)\/6*y). Solve -2*o = 5*d - 3*o - 17, x = 5*d - 3*o - 11 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1576 + -1561. Let l(s) be the first derivative of w*s - 5\/4*s**4 + 0*s**3 + 9 + 0*s**2. Differentiate l(h) with respect to h.\nAnswer: -15*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 2*o - 2*d - 10, -4*o = -3*d - 20. Suppose 263 = o*a + 3*n - 6, a = -5*n + 45. Suppose a - 22 = 5*i + 4*s, i + 4*s = -3. Solve f + i = -2*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4, k: 2, x: 1}. Give prob of sequence rxrk.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/(-1) - ((-7128)\/72)\/(1 + -4)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/(f*f**(-6\/5)*f))**(-4\/31)\/((f*f*f**(-2\/7))\/f**(-16)) assuming f is positive.\nAnswer: f**(-19388\/1085)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -38*x**2 + 2*x - 1. Let j be s(1). Let p = 34 + j. What is the nearest to 2 in p, -0.3, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = -3*y - 129 + 144, -15 = 3*c - 3*y for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -11*p - 2. Let d be h(-3). Suppose m - 2*t + 4 = 0, d = m + 4*t + t. Suppose -2*r + 5*r = m. Does 2 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -38 (b) -0.2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jhll when four letters picked without replacement from ljhl.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0*(4 - 14\/4). Suppose 60*q - 56*q - 8 = w. Solve -20 = 5*s, -q*s - 6 = -p - 0*s for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 8*j = 10. Suppose 4 + 0 = -4*h. Put 5, h, j in descending order.\nAnswer: 5, h, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*x - 6*x = 212*f - 236*f - 85, -3*x + f = -0*f - 37 for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 - 133*n + 1076. What is w(8)?\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/2420000 and 63\/2662?\nAnswer: 26620000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -971, -955, -929, -893, -847, -791, -725?\nAnswer: -649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + -2 + (4 - 1). Let w be g - 6\/(-1 - 1). Solve 3*h - w = 10 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 83\/3 of a year?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -48 + 18 + -12 + (161 - 173).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -9*c + 2. Let j(l) = -4*l. Let a(t) = -2*t. Let m(b) = -5*a(b) + 2*j(b). What is m(r(s))?\nAnswer: -18*s + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27178?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 805879507 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*b - b + 0*b + (-1 - 1 + 0)*(-3*b + 3*b + 2*b) + 93 - 41 - 802*b - 52 as w*b + v and give w.\nAnswer: -809","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -801499.509 + 0.5\nAnswer: -801499.009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 160 divide 40154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 PM and 7:21 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -527*k**3 - 3*k - 2. Let n be o(-1). Let r = n - 221. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 162884\/9 - 18098. Let -16\/9*b + 32\/9 - v*b**3 - 14\/9*b**2 = 0. Calculate b.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 367 divide 514534?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1739 to two dps.\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 94*h - 614. What is d(7)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17\/10 + 1\/2. What is the third biggest value in a, -6, -4\/7?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/(-144)*-4)\/(1\/(-6)). Which is greater: 7 or l?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*y + 213*y - 7511 = 0. Calculate the remainder when 194 is divided by y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-2))\/(3 + (-18)\/(-24)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 PM and 12:11 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*j**3\/2 + 1023*j**2\/2 - 26355*j\/2 - 27375\/2 = 0. What is j?\nAnswer: -365, -1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/14 and ((-8979)\/410)\/(132\/(-10))?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t + t**2 - t)*(0*t**2 + 2*t**2 - t**2) + 7*t**2 - 94 + t**4 + 94.\nAnswer: 2*t**4 + 7*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(168)\/(sqrt(3) - sqrt(48) - sqrt(3)))\/(4*sqrt(512)).\nAnswer: -sqrt(7)\/128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, m: 1, n: 4, x: 1, l: 5, v: 3}. Give prob of sequence nvln.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 - 10. Sort 0, -4\/3, t in ascending order.\nAnswer: -4\/3, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15.1 + 16. Let s = 4.9 - d. Which is greater: -1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2265*i**5*o - 207*i**4*o**3 - i**2*o**3 + 19334*i**2*o**2 - i**2 - i*o**3 + i wrt i.\nAnswer: 135900*i**2*o - 4968*i*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.4 or -9\/1919?\nAnswer: -9\/1919","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105 is divided by 90.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -298911, -599944, -900977, -1202010, -1503043, -1804076?\n\"Answer: -301033*h + 2122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -87040 to the nearest one thousand.\nAnswer: -87000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -13*h**2 + 539*h - 539. Calculate l(1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2352 (b) 4 (c) -1\/2 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2279 and 742?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the third derivative of -7*x**6\/160 - 17*x**5\/20 - 23*x**4\/8 + 4*x**3 - 1390*x**2 - 2*x. What is f in q(f) = 0?\nAnswer: -8, -2, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 7 = 5*t - 7*g, -2*t - 4*g = -14. Let p(b) = -4*b + t*b - 5*b. Let v(k) = -2*k - 4*k + 6*k + k. Calculate p(v(l)).\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -626? (a) -12\/5 (b) 1 (c) -0.95\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f and 1 z when four letters picked without replacement from {f: 6, z: 7}?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 626213*u + 4400 = 625938*u for u.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -482052.12 to the nearest one thousand.\nAnswer: -482000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 3:26 PM?\nAnswer: 9:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are 152 and 1062\/7 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2 - 8*k. Let v be w(-6). Determine t so that v*t - 4*t**2 + 6*t**3 - 9*t**2 + 6*t**4 - 5 - 7*t**4 + 1 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90626*z - 3*a - 18 = 90622*z, 3*z - 1 = -3*a + 2 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/z**1)**(-8))**(7\/4))**(-1\/22) assuming z is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*g - g - 11765*g**2 + 11765*g**2 - 14*g - g**3.\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -27 + 29. Which is the closest to 0? (a) -0.2 (b) -0.7 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4\/(-3))\/(3\/36). Let t(w) = -10*w**2 - 16. Let s(u) = -5 - 2*u**2 + 4 - 4 - u**2. Give r*s(q) + 5*t(q).\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 54890957?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 449 is divided by 46 + -42*(-2)\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 58 + -33. Let k = o + 25. Suppose -5*b + 20 = -k. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nfnhnhff. Give prob of sequence ffn.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 3*y - 14 = 0, 8*g - 5*g - 25 = 5*y. Solve 17*r = 12*r, 0 = g*j + 4*r - 20 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(50) - (sqrt(50)*-2 + sqrt(50))) + 2 + 5)**2.\nAnswer: -700*sqrt(2) + 5049","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3210543 + 3?\nAnswer: -3210540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*v = -m - 42*v - 12, 0 = -5*m + v + 4 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of 0*u**3 + 0*u**4 + 1 - 4\/5*u**5 + 0*u**2 - 7*u. What is the first derivative of w(v) wrt v?\nAnswer: -16*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15509447?\nAnswer: 15509447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-3 - (2 - 7))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 <= 3818\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 2*i**2 - i - 4. Let m be (-49)\/(-2)*6\/3. Suppose -z - z - 3*c + m = 0, 4*z - 123 = -c. Calculate the remainder when z is divided by n(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 98 (base 14) to base 10\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 11:57 AM?\nAnswer: 6:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-29946)\/2142 + 14)*(-6 + 0\/2).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4124 (base 8) to base 5.\nAnswer: 32012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/75 + 2464\/275?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/(((q\/q**(-5)*q)\/q)\/q))*q*q**0\/q)**(7\/12) assuming q is positive.\nAnswer: q**(35\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 670.87 + 15.6?\nAnswer: 686.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-656)\/(-246))\/((-5)\/(-18)) + -9.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2572262*t + 857419*t + 857426*t + 857436*t.\nAnswer: 19*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/7 - (-1872)\/63. Let h be (-8)\/w*10\/4. Is h at least 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(153)\/(5*(sqrt(27)\/sqrt(3) - sqrt(9)) - sqrt(9) - sqrt(9)))*5.\nAnswer: -5*sqrt(17)\/2 + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/6)\/((-2)\/(-6)). Let p be ((-10)\/(-15))\/(20\/42). Let h = p - 26\/15. What is the second smallest value in -1\/8, m, h?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.2251017 to two dps.\nAnswer: 11.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 60*p - 31*p - 58. Factor -12\/5*y**p - 2\/5*y + 0.\nAnswer: -2*y*(6*y + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-25 - 38) + 54 + 68.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-22 - 2 - 1 + 2*h)*(-2*h**2 + 0*h + 0*h)*(1 + 1 + 1) in the form j + f*h**3 + q*h**2 + w*h and give f.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2. Let n(l) be the first derivative of 4162*l**2 + 5895. Determine n(g(v)).\nAnswer: -8324*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of 1\/24*k**4 + 0*k**3 + 0*k + 0 + 1\/12*k**5 - 13*k**2. Determine j(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 17*a**2 + 169*a - 14. What is the remainder when f(-21) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -v**2*z**2 - 5*v**2*z + 4*v**2 + v*z**4 wrt z?\nAnswer: -2*v**2 + 12*v*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:33 PM and 3:03 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5)\/(-10) - (-28)\/8. Let m = -649 + 1541. Suppose -m = -v*h - 0*h. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.033 + 0.0337. What is x rounded to four dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*s + 193*s + 224*s = 14193 + 16236 for s.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -152, -2, 13 in decreasing order.\nAnswer: 13, -2, -152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1662 - 802. What are the prime factors of j?\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.006522366387 rounded to 7 decimal places?\nAnswer: -0.0065224","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the third derivative of 0 - 10*n**2 - 1\/12*n**4 + 0*n + 0*n**3. Let l(j) = 17*j - 9. Let w(y) = -4*y + 2. Let z(t) = 2*l(t) + 9*w(t). Give z(s(m)).\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of -35*h**6\/6 + h**2\/2 - 2*h + 3. What is the second derivative of g(k) wrt k?\nAnswer: -700*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1083736?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2235.4029 rounded to the nearest one hundred?\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3*(39\/(-9) + 3). Let u be (21 + 0)*((-4)\/(-4) + 7). Let s be u\/(-32) - 4\/(-16). Put 3, s, r in ascending order.\nAnswer: s, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -51*u + 339371 - 88400. What are the prime factors of u?\nAnswer: 7, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(304) + sqrt(304)*2 + sqrt(304) + sqrt(304) + sqrt(304) + -3)**2.\nAnswer: -144*sqrt(19) + 10953","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -850222 by -425111.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + 15 + -8 - -7.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.009 and 52.\nAnswer: -0.468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -169*c**2 + 331*c**2 + 4*c**4 - 156*c**2 + c + 3*c**3 to v*c + l*c**2 + u*c**4 + i*c**3 + d and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 120306289 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1\/3, 0.194, -2\/11, 43 in decreasing order.\nAnswer: 43, 2, 0.194, -2\/11, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -6 - (43 + -60) - -5.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1158 - -124371?\nAnswer: 123212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 425.9825 hours to milliseconds.\nAnswer: 1533537000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 75 - 82. Let f = 6 - -4. Let n = f + i. Which is bigger: 7\/3 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42.335*-24.85\nAnswer: -1052.02475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 - 20*l - 17. What is the lowest common multiple of d(-19) and 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of 4\/3*r**3 + 0*r**2 + 4*r + 4. What is the first derivative of x(f) wrt f?\nAnswer: 8*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l**2 - 5*l**2 + 2*l**2)*(0*l + 428 - 438 - 2*l)*(2*l - l - 2*l).\nAnswer: -6*l**4 - 30*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum 225 and 1.9757.\nAnswer: 226.9757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 - (-8 - (1 - (-6 - -5))).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -72*w - 226. What is n(-3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 310699 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.32416 <= 2\/1057?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10211220110 - -12?\nAnswer: -10211220021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + a + 131 = 0, -5*a + 1370 = 3*t + 1167. What is the highest common divisor of 4906 and t?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 4172868?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 670297221?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 12) in base 5?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -1\/1230?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 183275.5+1789.37\nAnswer: 185064.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i**3 - 1736 + 3*i**2 + 1736 - 4*i**2 + 10*i**3.\nAnswer: 8*i**3 - i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -2002*k. Let i(h) = -100*h. What is 121*i(f) - 6*o(f)?\nAnswer: -88*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) -77 (c) -0.6 (d) 5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 - (-2 - (0 - -2)) - -1. Solve 2*y = -k*y - 16 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -6*i - 25. Let t(g) = -3*g - 12. Let b(j) = -3*d(j) + 7*t(j). Differentiate b(k) wrt k.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 9 = -i + 3*g, 2*i + 3*g = 7. Let z be (-3)\/i*12\/18. Is ((-357)\/3 - 0)*z*1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - 8 - (38 - (-22 - -81)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + 2606364?\nAnswer: 2606363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1032 and 11868.\nAnswer: 23736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 225 = -8*f. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37434 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: Simplify (2*sqrt(243)*-5 + -1)**2.\nAnswer: 180*sqrt(3) + 24301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -41*s**2 + 111*s**2 - 50*s**2 in the form u*s + b*s**2 + h and give b.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eehkehekmxxhkmkx. What is prob of picking 1 k and 1 m?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63\/3*(-2)\/(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of -d**3\/6 - 6*d**2 - 99*d. Calculate i(10).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 = -23*j + 44*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - 6 - 3) + 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 9, y: 9}. Give prob of sequence yuuy.\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 11. Let z = 18747 + -18757. Is q smaller than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.5 - 2.5. Let k = 0.54 + -0.6. Let p = 2.06 + k. What is the nearest to 1 in 0.3, j, p?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v + k - 7, 0 = 4*v - 3*k + 36 - 47. Let g be (-4)\/(-14) + (-12)\/(-7). Suppose 0 = 5*w + 3*u - 14, u = 3*w - g*w + v. Solve -2*b - 5 - w = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2491 - 2039 = 171*z + 43*z + 12376 for z.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104*j**2\/5 - 496286*j\/5 - 9544\/5 = 0. What is j?\nAnswer: -1\/52, 4772","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 + n**2 + n + 1. Let f(l) = -6*l**3 - l**2 - 8*l - 4. Let h(z) = f(z) + 4*m(z). Let a(r) = 2*r**2 - 4*r - r**3 - r + 3*r. Give 5*a(c) - 3*h(c).\nAnswer: c**3 + c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-5*(sqrt(12) + sqrt(300) + sqrt(300)*-1)\/(sqrt(6) + (sqrt(6) - sqrt(30)\/(sqrt(5)*-1))) + -2).\nAnswer: -5*sqrt(2)\/3 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -570?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t - 43. Calculate b(-20).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5\/3, -15\/2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -2*s**2. Let x(f) = 903532*f**2. Give x(y(j)).\nAnswer: 3614128*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-15)\/(-9))\/(70\/84). Solve -3 = -2*k + n, 0 = -h*k + 3*k - 3*n - 4 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*m - 3*m - m)*(0*m**4 - 4*m**4 + m**4) + 2*m**5 - 3*m**5 - 2 + 4 + 3*m**5 - 2*m**5 - 3*m**5 + (2*m**2 - m**2 - 2*m**2)*(5*m**3 - 2*m**3 - 4*m**3).\nAnswer: -8*m**5 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 68964798 a multiple of 1906?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13 and 318253.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/13584 and 85\/606?\nAnswer: 1371984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*n**2 - 2465 + 2465 + 882*n**3.\nAnswer: 882*n**3 - 21*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of -m**6\/120 + m**5\/10 + m**4\/8 + m**2. Let w = -2 + 8. Is 9 a factor of q(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8015*b - 6390*b + 2*b**3 + 9727*b as p + l*b**2 + f*b + c*b**3 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -682 + 684. Suppose 5*m - 13590 = -4*v, -g*m + 5454 = -6*v + 4*v. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 822 = 834, -5*o + 41*s + s = 3*s + 457 for o.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, e: 1, o: 5, f: 4}. Give prob of sequence oeoo.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -1 - -5 - (-1 + 3)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of 13*l**4\/24 - 27*l**2. Let c(u) = -9*u + 3*u + 6*u - 2*u**2. What is c(i(n))?\nAnswer: -338*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + -3711182?\nAnswer: -3711185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 5, l: 3}. Give prob of picking 3 f and 1 l.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-1925)\/(-44))\/(-35))\/((18550\/2205)\/(-53)).\nAnswer: 63\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Do 3179383 and 3179381 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17357302 (base 9) to base 13.\nAnswer: -1a633ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 45523?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1352*o + 2 = q - 2715*o + 1359*o, -4*o = -5*q + 90 for q.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*a - 1)*(0 + 0 + a)*(a**3 + 2*a**3 - a**3) + 2*a**5 - 2*a**5 - 3*a**5.\nAnswer: a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 863 a factor of 135714517?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -3 (b) 2\/7 (c) 2 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1.868 * -2020\nAnswer: 3773.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 61 - 18. Suppose i = 5, 2*z - z + 3*i - 18 = 0. Calculate the remainder when g is divided by (-5*z)\/(3\/(-3)).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -813 - -812.9. What is the second biggest value in q, -2\/125, -3\/7?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*v + 9*v + 8*v + 9*v.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 8:42 AM?\nAnswer: 3:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 2*(sqrt(425) + 5 + sqrt(425))**2 - (((2 + 2 + sqrt(68))**2 - sqrt(68)) + (sqrt(68)*1*1 - sqrt(68))).\nAnswer: 186*sqrt(17) + 3368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 133324002 (base 5) to base 6.\nAnswer: 22350014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/104 and -28\/559.\nAnswer: 4472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -0 - 4. Let o be 138*((-3)\/k + 0). Suppose -2*w = 69 - o. What is the remainder when w is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n = -13*g - n + 65, 2*n - 5 = -4*g + 15 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 7, d: 6}. Give prob of picking 1 d and 3 s.\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 95945281 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2, 11716 in decreasing order.\nAnswer: 11716, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12674 + 12673 - 10*i - 5*i - 2*i**2 to the form n*i + r*i**2 + o and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*t = -20*t - 12*t + 3859. What is the remainder when t is divided by 110?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-18)\/14 - (-60)\/210)*-69. Let y = 207 + r. What is the lowest common multiple of 22 and y?\nAnswer: 3036","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -173*l + 173*l - 310*l**2 to k*l + w + u*l**2 and give u.\nAnswer: -310","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 789 divide 57845535?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, 68, 226, 516, 980, 1660, 2598?\nAnswer: 3836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -601125 divided by -125?\nAnswer: 4809","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 - 2)\/(-1) + 0. Let s = w - 4. Let l be s*(3\/(-6) + 0). Is -1\/3 >= l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 3:24 AM?\nAnswer: 8:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1260402 (base 10) to base 14.\nAnswer: 24b48a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 138*w - 141*w - 6. Let t(z) = -5*z**3 - 3*z**2 - 2*z + 1. Calculate the remainder when 93 is divided by t(w).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 16*c**5 - 15*c**2 + 15*c**2 + (c - 6*c + 3*c)*(c**4 + 2*c**4 - 2*c**4).\nAnswer: 14*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1968853 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 19827, 19809, 19759, 19659, 19491, 19237, 18879?\n\"Answer: -3*u**3 + 2*u**2 - 3*u + 19831","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58.76957 meters to nanometers.\nAnswer: 58769570000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -9a7454 (base 11) in base 2?\nAnswer: -110001000000001100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence coi when three letters picked without replacement from {i: 4, b: 1, o: 3, c: 1, y: 2}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 9) in base 11?\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -9*(-6 - (5 - 10)). Solve -2*z = 1 + j for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -15*n + 0*n**3 + 7*n**2 + 63 - 1 + 11*n**2 - n**3. Is x(17) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.055 (b) -3\/191911 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 6:42 PM?\nAnswer: 4:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 4*z + 26 = 0, 3*z = -2*s - 0*z + 17. Is 5 a factor of ((-1 - s) + -2)*-1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 to the power of 1\/3, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 420264432?\nAnswer: 2, 3, 7, 41, 10169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 PM and 6:18 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 271 = 5*n + 301. Let v be 2 + (-3)\/9*0. Let j(q) = q**2 + 6*q + 2*q**2 + v*q**2 - 6. Let i(c) = 6*c**2 + 7*c - 7. Determine n*i(b) + 7*j(b).\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 330636461?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25 (base 10) to base 4.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 divided by 367.\nAnswer: 13\/367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 206068280 a multiple of 954?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 15) in base 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (112\/32*(-8)\/(-14))\/(-3)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 117 - 32*s**4 + 34*s**4 - 6*s**3 + 7*s - 15*s + 10*s wrt s?\nAnswer: 24*s**2 - 36*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 2*k**3 - 10*k**2 + 9*k - 14. Let i be g(6). What is the third derivative of 112*t**3 + 34*t**2 - i*t**3 - 61*t**5 wrt t?\nAnswer: -3660*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 12:49 PM?\nAnswer: 2:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + -27 + 3 + -19 + (-32 - (-9 + 6)).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52839 = -1261*h - 1011 + 9715 for h.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 1 - 3 = 0, 3*l + 5*h - 22 = 0. Suppose 5*n - o = 33, n - 7 = -2*o + l. Is 4 a factor of -1 + 2 + (n - 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4831*c - 4998*c + 1118065. Is c a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 376 is divided by 34?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-1\/4))**(-6\/7))**(-2\/15) assuming h is positive.\nAnswer: h**(3\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = -5*h - 5 + 25, -5*c = -3*h + 34 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 155*x + 56. Let w(f) = -78*f - 28. Let p(b) = 3*a(b) + 7*w(b). Let j be p(-10). Let s = -409 + j. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of -2*v - 1\/4*v**4 - v**3 + 1\/5*v**5 + 52 + 5\/2*v**2. Factor o(c).\nAnswer: (c - 1)**3*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 - 39 = -5*n. What is the second derivative of -4*o**2 + 6*o**2 + n*o - 5*o - 2*o wrt o?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/2942576 and -83\/2236?\nAnswer: 2942576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 218 a factor of 3331912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2659427?\nAnswer: 449, 5923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve b**3\/7 + 2361*b**2\/7 + 438276*b\/7 + 435916\/7 = 0 for b.\nAnswer: -2158, -202, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + (1 - -1) - -9.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 0.4283\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(1900) + (sqrt(1900) - (2 + sqrt(1900) - sqrt(1900))*6) + -1 + 2 + (sqrt(1900) + sqrt(1900) + -2*sqrt(1900))*6)*-4)**2.\nAnswer: -7040*sqrt(19) + 123536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3638*m + 2 = -3640*m - 0. Sort -2, 0, m, 5, -3 in ascending order.\nAnswer: -3, -2, m, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/21 and -25\/1173.\nAnswer: 8211","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 42652, 42599, 42544, 42487, 42428, 42367?\n\"Answer: -f**2 - 50*f + 42703","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ub when two letters picked without replacement from {b: 1, t: 2, u: 1, o: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 0*b - 5*b + 81 = -4*h - 7*h - 0*b, -41*h - 5*b + 34 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -459.84 - -435. Let d = 7.05 + k. Round d to the nearest integer.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 3*i + 5*w - 10, 4*i - 24 = 2*w. Solve 3*m + 2*p = -11, -m + 5*p = -4*m - i for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76)*3 + sqrt(76))**2*-2 + -4 + ((sqrt(76) + 0)**2 + 0 - 4*(1 + sqrt(76))))*-1.\nAnswer: 8*sqrt(19) + 2364","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/7*m**3 - 20\/7*m + 1 + 18\/7*m**2 - 1\/7*m**4.\nAnswer: -(m - 1)**3*(m + 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1568 = 5*x + 1593 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.74 + 4.44. Let j = 282\/85 - 16\/5. Which is the closest to 1\/3? (a) l (b) j (c) -39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.99 minus -1?\nAnswer: -2.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1550*c + 1491*c - 3041*c - c**2 - 78.\nAnswer: -c**2 - 78","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of 1\/6*x**4 - x**2 + 0*x + 1\/15*x**5 + 0 - 5\/6*x**3 - 1\/120*x**6. What is the units digit of n(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 33\/5 - 27\/5. Which is the third biggest value? (a) 1 (b) x (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(3) + (sqrt(3) - (sqrt(3) - (sqrt(9)*1)\/sqrt(3))) - sqrt(33)\/(sqrt(11)*-2)) + 4 - (5 + sqrt(3) + sqrt(147) - (1*sqrt(3) + -3)))**2.\nAnswer: 36*sqrt(3) + 315\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of -s**9\/3780 + s**4\/12 - 3*s**2. Let f(y) be the second derivative of u(y). What is k in f(k) = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u - u - u)*(4*u - 4*u - 5*u)*(12 + 2 + 9)*(0*u + 0*u - 2*u).\nAnswer: 460*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 28068?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one tenth of a microgram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -341\/10553 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -p**5\/3 - 4*p**4 + 7*p**3\/3 + 26*p**2 - 24*p = 0. What is p?\nAnswer: -12, -3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (6\/12)\/(14\/505932) - 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2116959 is divided by 1256.\nAnswer: 599","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 22, -5, -27, 7, 50 in ascending order.\nAnswer: -27, -5, -1, 7, 22, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzv when three letters picked without replacement from ccczvcvzc?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*d - d = 4*o - 855 + 643, -2*o + 106 = -2*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -3*i**3 - 8*i**2 + 3*i + 2. Let j be f(-3). Suppose -j*x + 74 = 4*g, 4*x - 188 = -5*g - 46. What is the remainder when 65 is divided by x?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13*(15 + 4046\/(-273))\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s\/(s*((s*s**(-1\/6))\/s*s*s)\/s*s)*s*s*s**3*(s**2\/s)\/s*s**(-2\/9)\/s assuming s is positive.\nAnswer: s**(53\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (28\/(-3))\/((-14)\/21) and 48?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -123 - 881. Let p = 1001 + y. Let a(b) = -b - 7. Give a(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 344\/(-14061)*210\/(-280).\nAnswer: 2\/109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = r - 6*r - 29, -20 = 5*r - 5*z for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 - 24. Let x = -7 - l. Solve 3*v - x = v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(833) + -2)*2.\nAnswer: -4 + 14*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(4 + -3) - (-4 + 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u - 4 = 5*u. What is the common denominator of (u - (-236)\/8) + 3 and -63\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/(t\/t**(-11))*t*t)*((t**(1\/15)\/t)\/t)\/t)**(-36)\/(t\/t**2*t**(4\/7)\/t*(t**(-1))**10) assuming t is positive.\nAnswer: t**(-8504\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20 - 27 + 43 + 12160*q.\nAnswer: 12160*q - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22.9208ml to litres.\nAnswer: 0.0229208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k - 5*k + 10*k + 0*k. Let f(a) = -1 - 7*a + 2 + 2*a - 6*a. Calculate -3*f(n) - 8*p(n).\nAnswer: n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.162089 centuries in months?\nAnswer: 194.5068","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 797?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 184 + -181. Sort 0, r, -10, 5 in decreasing order.\nAnswer: 5, r, 0, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22029 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 + -5)*(49\/(-14) - -3). Solve 5*w + 4*p = 32, 3*w - 6 = n*p - 3 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 73, 92, 143, 238, 389, 608, 907, 1298?\n\"Answer: 2*p**3 + 4*p**2 - 7*p + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.14 + -2.86. Suppose 4*z + 42*c = 40*c - 24, -c = z + 10. Sort m, z, -1\/5 in decreasing order.\nAnswer: -1\/5, z, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 - u + 5. Let g(v) = -72*v**3 + 7*v**2 - 3*v - 348. Let y(i) = g(i) - 3*p(i). Differentiate y(m) with respect to m.\nAnswer: -216*m**2 + 8*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 560000*u**3 + 2*u**2 + 3*u + 1. Let v be o(-1). Round v to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5646)\/4*-7*16\/168 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -4.78.\nAnswer: -4.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - -3. Let v be -3 - (2 + -7 - 3). Sort v, 1, f in ascending order.\nAnswer: f, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1224 divided by 9.\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2564, 2557, 2536, 2495, 2428, 2329, 2192, 2011?\n\"Answer: -d**3 - d**2 + 3*d + 2563","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1004 (b) 0.1 (c) -1.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 1 + 2*g + 2*g - 15*g. What is d(1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 42 - -37?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -87*w**3 - 16*w**3 + 1169*w**2 - 1112*w**2 wrt w.\nAnswer: -618","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1575412 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gf when two letters picked without replacement from govjf?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153)\/(6*sqrt(81)) + 2 + sqrt(2448)*-1)*-6 + -1)**2.\nAnswer: -5590*sqrt(17)\/3 + 787346\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -85 - (12 - 5 - 23 - (2 + -12)) - -11.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6632357*c**3 - 5*c**2 + 114069996?\nAnswer: 19897071*c**2 - 10*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3829, 3768, 3599, 3268, 2721, 1904, 763, -756?\n\"Answer: -9*k**3 + 2*k + 3836","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 203 - 54*q - 203. Let n(h) be the second derivative of 7*h**4\/12 - 5184*h. Calculate n(m(j)).\nAnswer: 20412*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9362 and 216987.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 3*n**2 - 8. Let k(u) = -u**2 + u + 1. Let m(g) = j(g) + 4*k(g). Determine c so that m(c) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*n - 35. Let t = 19 - n. Which is the closest to 0.1? (a) -3\/4 (b) t (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -2894*t + 26061. Give o(9).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Solve 7*f = -13*f - 100 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -27\/2*a**3 - 57*a**2 - 9 - 105\/2*a = 0?\nAnswer: -3, -1, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8817 is divided by 147?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10235\/77 - -954\/7. Let w = -4\/2027 - -63145\/156079. Calculate the common denominator of w and k.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/6 in 5, 0.005, 3?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2144045 (base 11) to base 3.\nAnswer: -21002102212122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*f**4 - 62*f**2 + 62*f**2 + (7*f + 56*f - 8*f)*(2*f**2 + f**3 - 2*f**2).\nAnswer: 58*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2900)\/(-232)*(-24)\/20?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 430\/21421?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 432922 is divided by 18038?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 3 = 4*o, -4*o + 15 = r - 0*o. Suppose v = r*v - 12. Let b(j) = 3*j - 70. Let g(q) = -q + 24. Let p(x) = -6*b(x) - 17*g(x). Calculate p(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5372 + 361*a - 564*a + 2682 + 2690.\nAnswer: -203*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*d = -70*d - 172300000. Round d to the nearest 100000.\nAnswer: -17200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5 and -556.56?\nAnswer: 551.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.056*-1.3\nAnswer: 0.0728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2452820, -2452822, -2452824, -2452826, -2452828?\nAnswer: -2452830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(1\/19)\/(f**(-4)*f) assuming f is positive.\nAnswer: f**(58\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 17351329 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 - 10*g**2 + g - 10. Let s be n(10). Suppose -5*b + 20 = s, 0*b = -2*k + b - 4. Sort k, -1, 1.\nAnswer: -1, k, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x + 2. Let n be w(0). Let s be 1*(1 + 1 - -2). Find the second derivative of -n*y**5 - s*y - y + 0*y wrt y.\nAnswer: -40*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -3 + sqrt(252).\nAnswer: -1 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**3 - 41409*o**2 + 82827*o - 41415.\nAnswer: -3*(o - 1)**2*(o + 13805)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*a - 10972 = -396*a for a.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -153*b**3 + 2 - 84*b**3 - 18 + 1 + 17.\nAnswer: -237*b**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nuucyy. Give prob of picking 1 u and 2 y.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 31 + 1 + (-3 + -9 - -9). Suppose -s - 4*f = -7*f + j, 4 = -f. What is the third biggest value in s, 3, 5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002276459369 to seven dps.\nAnswer: -0.0022765","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -122 + 178. List the prime factors of a.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17 or -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2003\/861 - -2\/287. What is the common denominator of p and (-4)\/8*3*5?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4\/33, 395, 21\/4?\nAnswer: 395","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -25*f**4 - 3*f**3 - 72*f**2 wrt f.\nAnswer: -600*f - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of 719*x**5\/20 - 44*x**4 + 160*x. Find the third derivative of q(s) wrt s.\nAnswer: 4314","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d**5\/13 + 48*d**4\/13 + 56*d**3\/13 - 140*d**2\/13 - 246*d\/13 - 100\/13 = 0 for d.\nAnswer: -1, 2, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of 233*v**4\/6 - 6*v**3 - v**2 + 244*v + 2. Find the second derivative of a(f) wrt f.\nAnswer: 932","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 - 21*w**2 + 36*w + 38. Let b be r(19). Let h be (105\/6)\/7*2. Let k = -13 - -16. Solve -k*o - h*g - 2 = b, 4*o - o + 8 = -2*g for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*-9*((-1562)\/(-891))\/(-71)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*z**3 - 8*z**3 - 2*z**3.\nAnswer: -7*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -10*d**2 - 10*d**2 + 17*d**2. Let w(p) be the third derivative of 0*p**3 - 1\/20*p**5 + 0 + 6*p**2 + 0*p**4 + 0*p. Give a(w(j)).\nAnswer: -27*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*a - 29*a + 5*w = 34*a - 88*a, 0 = -a - 2*w - 18 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - 4a?\nAnswer: -4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 6*g + 3. Let l(x) = -4*x - 2. Let s = -12 + 5. Let o(w) = s*l(w) - 5*b(w). Differentiate o(a) with respect to a.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-8 - -4) - (-27 - -19)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 2.99938. What is v rounded to four dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 3*w**2 + 34*w + 11. Let x be z(-11). Suppose 4*l - 184 = -3*j, 0 = -x*l + 3*l - 5*j - 138. What are the prime factors of l?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 603306*m**6 + 2*m**4 - 27*m**3 + 9640116*m**2 - 2*m.\nAnswer: 72396720*m**3 + 48*m - 162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 748*h + 709*h - 1459*h.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) 2\/9 (b) 4 (c) -3\/5 (d) 34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1749474 to the nearest integer?\nAnswer: 1323","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 48*m - 43*m - 115. Find the second derivative of 8*f**2 + 12*f**2 - 8*f - 19*f**2 - m*f**3 + 1 wrt f.\nAnswer: -138*f + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/6)\/(6031\/1956)?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c - 18 = 87. Calculate the remainder when 29 is divided by c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = l - 237. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 852.72 + -870. Let k = x - 0.72. Put -2, k, -4, 0 in ascending order.\nAnswer: k, -4, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -0.3, 2\/4825, -1\/4, -1.6 in increasing order.\nAnswer: -1.6, -0.3, -1\/4, 2\/4825, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 276 a factor of 96139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-1\/3)*r**(1\/2)*(r\/(r\/(r**(-3\/11)\/r))*r)**9)**14 assuming r is positive.\nAnswer: r**(-287\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, c: 1, n: 2, r: 5, e: 3}. Give prob of picking 1 c and 1 r.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 7051 to the power of 1\/2, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o + 4. Let p be f(-7). Let j = 6 + p. Factor -2*y**j - y**4 - y**4 + 4*y**3.\nAnswer: -2*y**3*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 5*t = -37, 3*h + 4*t + 2766 = 2741 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -8844*i. Let s(o) = -1299*o**2. What is m(s(f))?\nAnswer: 11488356*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/25 of a milligram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of k**4\/4 - 5*k**3\/3 - 2*k + 1. Suppose 2 = 2*w + 3*j - 8, 0 = 2*w - 2*j - 10. Calculate u(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*o**2\/7 + 90*o\/7 - 216\/7 = 0 for o.\nAnswer: 3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/(g**(-1\/15)*g)))\/(g**9\/g) assuming g is positive.\nAnswer: g**(-106\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0\/(-2))\/(3 - (-8)\/(-4)). Let y be (-3)\/(-1) + (0 - v). Suppose 4 = -y*l + 1. Sort -4, -5, l.\nAnswer: -5, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of 104*a**2 - 140*a + 31. Differentiate j(d) wrt d.\nAnswer: 208","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204) + -4*3*sqrt(204))\/(sqrt(300)*-4).\nAnswer: 11*sqrt(17)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - 1. Let u(j) = -2*j + 1 - a. Let p(h) = -5*h - 961 + 961. Determine p(u(q)).\nAnswer: 10*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 623890 divided by 10\nAnswer: 62389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.6, 0.3687, 0?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 g when two letters picked without replacement from {g: 1, j: 1, m: 1, r: 1, b: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 870 (base 10) to base 3.\nAnswer: 1012020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 42351376?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 252.15765 months in years?\nAnswer: 21.0131375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/1012 and 35\/304667?\nAnswer: 28029364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -41895 divided by 5?\nAnswer: -8379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/9*(8 + 4). Let d(l) = l + 6. Calculate d(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 16*a**3 + 544*a**2 + 1180*a - 1728. Let s(n) = -n**3 + 3*n**2 - 4*n + 1. Let i(m) = o(m) + 12*s(m). Factor i(w).\nAnswer: 4*(w - 1)*(w + 3)*(w + 143)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 3 f when four letters picked without replacement from {f: 5, h: 11, j: 2, x: 1}?\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 AM and 7:28 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 99808 and 5464488.\nAnswer: 21857952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -22*w**4 - 9*w**2 + 671.\nAnswer: -88*w**3 - 18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5969?\nAnswer: 47, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7766 is divided by 392?\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6715 is divided by 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = f, -5*f + 2*t - 5*t = -4. What is the smallest value in 3, f, -1, 0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-12)\/(-30)*(-1)\/5. Is k > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26 and 436721233.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 929944615 to the power of 1\/3, to the nearest integer?\nAnswer: 976","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-29)\/9 - -1 - -2. Let a = 114 + -109. Suppose 0*j = 3*j - 3. What is the closest to j in 1, a, c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -6*d**2 - 6. Let w(f) = -255083*f. Give s(w(l)).\nAnswer: -390404021334*l**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 4*i**2 + 6*i - 2. Let h(s) = 12*s**2 + 17*s - 7. Let d be (14\/(-3))\/((-10)\/15). Let c(l) = d*o(l) - 2*h(l). Factor c(t).\nAnswer: 4*t*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/286 and -85\/26.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -aa0ca (base 14) in base 3?\nAnswer: -202220212001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 425 (b) -3 (c) 27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 6*s**3 + 5*s**2 - 5*s + 5. Suppose 40 = -x + 9*x. Suppose 5*r - 30 = -x. Let g(z) = 21*z**3 + 18*z**2 - 18*z + 18. Give r*g(o) - 18*v(o).\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 10 = 3*u - 5*n, 0 = n - 2. Which is smaller: -2\/33 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/(-9) - 13\/(-3). Calculate the highest common divisor of s and 95.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190) + -6*(sqrt(190)*1 + sqrt(190)) + sqrt(190) - (sqrt(190) + sqrt(190) + (-1*sqrt(190) + sqrt(190))*1))\/((sqrt(10) + sqrt(40)\/sqrt(16))*3).\nAnswer: -8*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5248 - -5254. Solve -b*m + 54 = 21*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d**2 - d**2 + 2905 - 2905.\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6214 and 52.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8935837?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/2 (b) 23 (c) -2 (d) 4 (e) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1144 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**4\/5 - 3*a**3\/5 + a**2\/5 + 3*a\/5 - 2\/5.\nAnswer: (a - 2)*(a - 1)**2*(a + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2*d**2 + 12*d + 18. Let u be m(-9). Suppose -52*k = -48*k - u. What is the highest common factor of 6 and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 1723*v - 4. Let h(m) = 861*m - 2. Determine 5*h(a) - 2*y(a).\nAnswer: 859*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 17303 or 17300?\nAnswer: 17303","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 850 and 85?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + 2298e6c?\nAnswer: 2298e67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, 5, 5, 7?\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - 2*t)*(11*t**2 + 1 - 1)*(2*t - 3*t - t + 3) in the form k*t**3 + s + r*t**2 + j*t**4 + v*t and give j.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 3 + 2)*(2*h - 4*h + h) - 79*h + 76*h - 244 + 25 in the form y + w*h and give y.\nAnswer: -219","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*x**5 + 48*x**4 - 86*x**3 + 36*x**2 + 22*x - 12 = 0. Calculate x.\nAnswer: -1\/2, 1\/2, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000113951577 to 6 dps.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 575326*f - 9 = 1150661*f - 575330*f, 3*b - 46 = -4*f for b.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -7016*z - 373. Is u(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, 10, 24, 52, 100, 174, 280, 424?\nAnswer: 612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**6\/(c\/(c\/((c*c**(-9)\/c)\/c*c))*c))**(1\/2) assuming c is positive.\nAnswer: c**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the first derivative of o**3\/3 - 19*o**2\/2 + 21*o - 160. What is the remainder when 125 is divided by f(19)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -2*t - 7. Let x be l(-5). Let j(m) = -793*m + 13483. Let o be j(17). Solve -4*q + x*f = -17, o - 11 = -2*q + f for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -3 (b) -0.1 (c) -43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-12)*(173 - 167)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-26*g + 5*g - 35*g)*(-110*g**2 - g**2 - 22*g**2)*(6*g - 2*g - 2*g) as s*g**3 + t + j*g**2 + n*g**4 + i*g and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85 - 82 = -f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.44346 to 2 decimal places.\nAnswer: 0.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.08, 10628, 4, -4, 3 in decreasing order.\nAnswer: 10628, 4, 3, 0.08, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 1155.7 to the nearest ten.\nAnswer: 1160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -25 divided by 2\nAnswer: -25\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2*f + 47. Let v be t(-26). What is the common denominator of -111\/22 and v\/2*4\/(900\/(-85))?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the third derivative of -l**5\/5 + 131*l**4\/24 + 11*l**3\/6 - 227*l**2. Let f be h(11). Solve -5*d + 4*b = 31, 3*d + f*b - 5*b = -29 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zl when two letters picked without replacement from zql?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 - u**2 - 2*u + 7. Let b be q(6). Let w = -175 + b. Solve -4*m + 4 = -w*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of -13\/72*w**4 + 0 - 24*w + 1\/360*w**6 - 7\/18*w**3 - 1\/36*w**5 + w**2. Factor b(n).\nAnswer: (n - 7)*(n + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o = -32*o + 21735. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -25 + 10. Let r = 35 + g. Is 8 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1125677*g**2 - 2077067*g wrt g.\nAnswer: -2251354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*y - 13*y + 9*y**3 - 4*y + 23*y.\nAnswer: 9*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of -n**7\/840 + n**6\/180 + n**4\/24 - 4*n**3\/3 + 1. Let c(m) be the third derivative of h(m). Is c(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 + (-345)\/(-12))*4. Calculate the greatest common divisor of 2987 and o.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - -13a?\nAnswer: 13d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 - -20. Let n = 3 - 10. Let j(d) = -d + 3. Calculate the remainder when t is divided by j(n).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1818*m = 1396*m - 3773 + 18965 for m.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 99\/77356 and 51\/21436?\nAnswer: 1779188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -103*z**2 + 1035*z + 1035. Give c(-1).\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -7199590 rounded to the nearest 100000?\nAnswer: -7200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -151600056 by 75800028.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 3*w + 229, -6*w - 209 = -2*z - 5*w. Let k = z - 107. Sort -2, 15, -4, k.\nAnswer: -4, -2, k, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - -3. Suppose -2*f + 22 = -f + w*k, 0 = -5*f - 5*k + 110. Suppose -2*s + 8 = -2*p - f, 5*s - 3*p = 79. Calculate the remainder when s is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 20*c**2 - 624*c - 9095. Determine s(42).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m = 5*m + 4*v - 7, -v = -m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.45 + 0.5. Let p = 0 - -0.5. Let m = -108.9 + 106.9. Which is the second biggest value? (a) p (b) m (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 287 = -4*c, 2574*c - 2579*c + 128 = 2*l for l.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 4986?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 938 and 1120?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23240 to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4351 - -4366. Solve -t*q = -45 - 15 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16990, 16981, 16966, 16945, 16918, 16885, 16846?\nAnswer: 16801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -4*b**5 - 4456*b**4 + 388980*b**3 - 10014840*b**2 + 82044144*b - 209944224 = 0.\nAnswer: -1197, 6, 29, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1892435+78415.49\nAnswer: -1814019.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6214.668km in centimeters?\nAnswer: 621466800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-10)*(-3)\/6*5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0*(1 - 0))\/(-2). Suppose -4*b + 81 = -3*n, 3*b + 5*n = 5*b - 51. Solve k - v = 2, -4*k - v + a*v = -b for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 - 10*y**2 - 10*y - 4. Let p = -18 + 9. Let x be h(p). Suppose r - 19 = -2*d + 6, -3*r + 15 = 0. Solve d = -v - v + 4*c, 4*v - x*c = -5 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22212 (base 3) to base 9\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28418 and 27410254?\nAnswer: 2186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22205 is divided by 30.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + 4*s + 1153, -3*t - 1169 = -0*t - 4*s. Does 4 divide t\/(-27) + 2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-14))**(4\/35)*j*(j**(2\/17)\/j)\/j*j**(-41)\/j)**(2\/19) assuming j is positive.\nAnswer: j**(-398\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5729 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-8) - 2415\/(-552).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 2 + 4. Let k be g\/(-4) + (-37999)\/2. What is k rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -122 + 63. Let j = d + 105. Is j != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-22)*(-4)\/(7\/315*-15).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2332, -4643, -6954, -9265?\n\"Answer: -2311*y - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 19680 to the nearest one thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1511360 is divided by 507.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -187 - -189. Solve 17 = 3*p - q*r, -5*p + 4*r + 49 = 20 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 957, 3823, 8601, 15291, 23893, 34407?\nAnswer: 46833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 295020.3*-0.2\nAnswer: -59004.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03 to zero decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rcqqrqqrqcrcrrrr. What is prob of sequence qcq?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**2 + 156012*u - 156016.\nAnswer: 4*(u - 1)*(u + 39004)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 5, u: 2}. What is prob of picking 2 h and 2 u?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7\/22 + 2\/11. Suppose -5*k + 0*k + 15 = -3*p, -k + 3 = -p. Which is smaller: w or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a + 2*a - a + 2*a + a - 5*a + 48 - 48 - 4*a + (2 + 2 - 3)*(4*a + 0*a - 5*a) - 4*a + 6*a - 4*a + a - 3*a + a.\nAnswer: -11*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13\/(-10)*250\/(-1300)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -192\/6835 (b) 0.5 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(1\/3))\/d**(-1\/36))\/(d**(-13)*d**(-1\/43)) assuming d is positive.\nAnswer: d**(21235\/1548)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-91)\/(-13) + 0.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -36*z**2. Let y(a) = 4 - 27*a**2 + 22*a**2 - 2*a - 2*a. Let t(f) = 6*f**2 + 5*f - 5. Let k(l) = -4*t(l) - 5*y(l). Give k(v(d)).\nAnswer: 1296*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61927 = -5*u - 10*t - 61862, 3*u - 4*t + 41 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 435 = -r. Let w = -635\/2 - -295. Calculate the common denominator of w and 4\/10*r\/(-12).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 15 = -d. Let m(s) = 1 - d - 3 - 2*s + 10. What is the tens digit of m(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26867 to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 18*x**2 - 1. Let t be v(-1). Suppose -d - 18 = 4*k, t - 5 = -d - 2*k. Let j(y) = -2*y - 8. Give j(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 160756 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 7273 bigger than 7274?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 + 38*n**2 + 83*n - 94. Calculate z(40).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 605 and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from ytytttttttytyyttttt?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/42 and 131\/24.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7476?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 33846 - 24306. What are the prime factors of m?\nAnswer: 2, 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 26*h**2 - 3*h**3 + 12*h**2 - 36*h**2 + 3*h**4 in the form n*h**3 + s + q*h + f*h**4 + b*h**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 - 1445*o**2 - 4 + 1441*o**2 - 8*o to q + a*o**2 + j*o and give j.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o**5 + 862*o**4 + 9748*o**3 - 10608*o**2 = 0.\nAnswer: -12, 0, 1, 442","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 236387 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/6 + 23\/3. Let i(k) = 5*k**2 - k - 6. Let u be i(4). Suppose o*p - u = 3*p. Does 7 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 43 + 351. Suppose -3*o - 592 + 10 = 0. Is (-3)\/(b\/o + 2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -325831458 divided by -2\nAnswer: 162915729","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -31 - -159. What is the smallest common multiple of 2 and t?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/(a*a**26)*a\/a**(-34) assuming a is positive.\nAnswer: a**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 757629 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, i: 3, n: 1}. Give prob of picking 1 i and 1 n.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 3, 0.3, 0.5, 6, 3.52.\nAnswer: 0.3, 0.5, 3, 3.52, 6, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 9) in base 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the third derivative of 5*o**9\/168 - o**5\/5 - o**2. Find the third derivative of a(h) wrt h.\nAnswer: 1800*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.93 + -0.07. Let t = -7.6 - -9. Let i = t + -1. Which is the smallest value? (a) v (b) i (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*z - 21*z + 10 + 5*z**3 - 81 as n + x*z + i*z**2 + g*z**3 and give g.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6656*z - 18484*z - 1552582 + 1543328 wrt z?\nAnswer: -11828","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1663 + 20077\/12. Calculate the common denominator of g and -73\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand y**4 - 3*y + y + 6*y - y**4 - 1 + 1 + (y - 3*y + y)*(-y**3 + 0*y**3 - y**3).\nAnswer: 2*y**4 + 4*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/11166 and -49\/18168.\nAnswer: 33810648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 + 11*u**2 + 5*u - 12. Let t be f(-10). Let z = 36 - 11. Let b = t - z. What are the prime factors of b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -65\/3 (b) 0 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3212 times 3\nAnswer: -9636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -172, -681, -1534, -2731, -4272?\n\"Answer: -172*h**2 + 7*h - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5635, -24806, -56757, -101488, -158999?\nAnswer: -229290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1134 + -1118. Suppose 0 = 5*a - 27*h + 30*h + 38, -3*a + 5*h - q = 0. Suppose 2*v - 6 = -0*v. Sort -2, v, a.\nAnswer: a, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -651828*(-13)\/676 - 4\/26.\nAnswer: 5, 23, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 712230 is divided by 44514.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((4 - -17)\/12810)\/(((-46)\/(-8))\/(-23)).\nAnswer: -2\/305","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 93 = 3*n, 315 = 9*n - 9*b + 12*b. Solve n = 481*a - 487*a for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2*d**3 + 5*d + 6. Let a(c) be the first derivative of -c**4\/4 - c**2\/2 - c - 6. Give -5*a(g) - m(g).\nAnswer: 3*g**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -9, 1.6, 482, -5, 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (-22 - (-23 + 16))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) 0.2 (b) -4 (c) -15.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -3*q - 39. Let i = 358 - 370. Determine x(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*l - 2*l - 2460000. Round l to the nearest one hundred thousand.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = u + 8. Suppose -2*q - 4*r + 0*r = -24, -4*r = -5*q + u. Suppose -3*m - q = -16. Solve m*w + 4 = -2*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 41301, 82633, 123965, 165297?\nAnswer: 206629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 16624753 divided by 19\nAnswer: 874987","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.058 - -38.058. Let u = p - 38.000125. What is u rounded to four dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a tonne in kilograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 389*l - 390*l - 6 = 0, 4*r + 3*l = -19 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, 82775 in decreasing order.\nAnswer: 82775, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.02 (b) 0.14 (c) 4\/3 (d) -1\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18181?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(16) + (sqrt(16) - sqrt(144))))\/(sqrt(512)*2 + sqrt(8)).\nAnswer: 4*sqrt(2)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/22? (a) -250135 (b) 0 (c) -1\/3 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 46 = 5238*z - 5236*z, 5*z + 38 = 3*r for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f**2\/3 + 316*f\/3 - 560 = 0.\nAnswer: -84, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -43.35 + 1.95. Let r = 237.4 + l. Let d = 196.00374 - r. Round d to four decimal places.\nAnswer: 0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 0 + 0 + 2*l**2 - 5*l**2. Let n(c) = 32*c. Determine n(b(y)).\nAnswer: -96*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1167 (base 9) to base 10\nAnswer: 871","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*v + 17*v - 32*v.\nAnswer: 14*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = u + 5. Suppose u = g + g. Solve g = 2*s + 4*h + 2 + 2, -2*s = 2*h for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 - 31*d - 158. Let w be l(-7). Let r be ((-5)\/(-10) + -3)*w. Is -22 smaller than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 - 3*r + 8. Let i be n(-4). Solve 5*x = -i*b + x - 4, 3*b + 2*x = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (-215)\/20)\/(315\/40 + (85 - 92)).\nAnswer: 78\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of -137*z**6\/6 + 506*z**2 - 50. Find the second derivative of k(l) wrt l.\nAnswer: -2740*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 10:35 PM?\nAnswer: 12:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 5473044040?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 0 + 2*b - 1 + 0 - 1. What is w(-3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -2\/7*k**5 + 0*k**2 + 0 - 124\/7*k**3 - 18*k**4 + 0*k = 0?\nAnswer: -62, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1521 and 5460.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1)\/v)**(-40))**46 assuming v is positive.\nAnswer: v**3680","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -474*n + 22 = j - 477*n, j + 20 = -4*n. Which is the nearest to -8? (a) -11 (b) 2\/5 (c) -1\/12 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 + 1. Let b(k) = 5*k - 394*k**3 + 198*k**3 + 198*k**3 - 3. What is -b(j) - 3*v(j)?\nAnswer: j**3 - 5*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -21 in -5, -2\/33, -1.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.587 - -1.987. What is the biggest value in 4.71, x, -2\/19?\nAnswer: 4.71","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * 68.\nAnswer: -272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 2 = -j, -5*j - d = -3*d + 10. Let t be j + -1 - -4 - -706. Suppose 0 = 6*f - t + 17. Calculate the remainder when f is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8040379 or -8040383?\nAnswer: -8040383","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/(-10) - 69*10\/(-150). Solve 3*i + 1 = h + j*i, -27 = -3*h + 5*i for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 70\nAnswer: -1\/70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -112 (base 3) in base 14?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*w - 46*w = 9680. What is the hundreds digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 93 + (-86 - -93 - (-8 - 16)).\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 131731 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (16\/(-128))\/((-10)\/24)\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + -1 - (-1 + -1)) + 113 + -108 + -37?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1081581600 a multiple of 106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - 2. Let p be ((-5)\/i)\/((-15)\/(-18)). Sort 5, p, 0.2.\nAnswer: 0.2, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18328370 is divided by 704937.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*t + 39*t = 11 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 58116 by 6.\nAnswer: 9686","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 42\/5 of a millennium?\nAnswer: 840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -12*y + 3. Let c be n(-3). Suppose 4*j + 3*a = 69, -3*j + a + c = -a. What is the greatest common divisor of 105 and j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17 + 351 - 47*g + 26*g - 424*g**5 + 23*g wrt g.\nAnswer: -8480*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in nine tenths of a kilogram?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 - 7*m**2 + 6*m + 15. Calculate the lowest common multiple of 40 and s(6).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19600\/(-29400)*3\/155.\nAnswer: -2\/155","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 38617, 38620, 38623?\n\"Answer: 3*i + 38614","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 78 - 80. Let p(t) = t**2 + 2. Let h be p(u). Suppose -c = h*c - 315. Is c != 45?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/21*3 - (-38)\/154?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 + 120. Suppose 2*t + 4*z = p, 57 = t + z + 6. Calculate the remainder when t is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1380140879 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q**3\/2 - 47541*q**2\/2 + 187893105*q\/2 + 3587151873\/2 = 0. What is q?\nAnswer: -19, 7933","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3342283 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 36*r**3 - 5*r**2 - 2 + r**4 - 5*r**3 - 30*r**3 + 4*r - 6*r**3 as l*r**4 + v*r + w + b*r**2 + o*r**3 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 4451, 17700, 39789, 70724, 110511, 159156, 216665, 283044?\n\"Answer: z**3 + 4414*z**2 + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -13389, -13392, -13395?\n\"Answer: -3*d - 13386","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 10, 22, 36, 52, 70, 90, 112?\n\"Answer: a**2 + 9*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 4*n**2 - 4*n. Give t(3).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 493286?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4813828, 9627523, 14441218?\nAnswer: 19254913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hyh when three letters picked without replacement from {h: 15, y: 5}.\nAnswer: 35\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 643*c**2 - c - 593*c**2 + 417*c**2)*(-1 - 1 + 1) as v + t*c + y*c**2 and give y.\nAnswer: -467","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 + 3*r**2 + 63*r - 255. Calculate d(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 7 + -4 + -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 255440\/45 - (304\/36 - 8)?\nAnswer: 2, 3, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 - 13*c**2 + 12*c + 8. Let z be i(-14). What is the highest common divisor of z and 396?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*n**3 + 0*n**3 + 2*n**3 + (-223 + 437 - 229 + 21*n)*(-2*n**2 + 5*n**2 - n**2).\nAnswer: 44*n**3 - 30*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3014 is divided by 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f**2))**(-18)*f**(-1\/12)*f**(-5)*(f*f**(-1))**(-2\/19)\/(f**(-3\/4)*f*f*f\/(f*f\/f**5)) assuming f is positive.\nAnswer: f**(77\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79 is divided by 28.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3, 2, 0 in increasing order.\nAnswer: 0, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + -8 - -8) + 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 226*g + 80 = 4*f - 2*f, -3*f + 120 = -210*g + 208*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -4 (b) -0.5 (c) 4 (d) -0.3 (e) -3\/4 (f) -146287\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -183611\/12 - -15289. Calculate the common denominator of j and (-21)\/14 + 26\/(-40).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 127 a factor of 6839204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 149399477 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + -37?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18 - (-3540)\/(-150)) + (-4779)\/135.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2502 (base 12) in base 4?\nAnswer: -1001102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 9:35 PM?\nAnswer: 6:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3062572?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -12 + (75 - 59) + -12?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 - (1 - 0) - -142)\/(-1). Let o = g - -255. What is the highest common factor of 14 and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p**3\/3 + 9578*p**2 - 1987477*p\/3 - 672070 = 0. What is p?\nAnswer: -28803, -1, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z - 4. Let v be s(-7). Suppose 4*k = k - v. What is the smallest value in -1\/6, 1\/3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6422589)\/1449 + (-3)\/(-7). Which is bigger: -4431 or h?\nAnswer: -4431","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2 + 16*w - 79. Let b be q(-20). Is (40 - b)\/((-6)\/(-4)) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1181 - 1161) + ((-1)\/2*0)\/(-1).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1.2 and -1944?\nAnswer: 1942.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/10? (a) 0 (b) -20 (c) 0.3 (d) -0.2 (e) 0.16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 4, 283, 2\/5, 5, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a2 (base 16) to base 3.\nAnswer: -120111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3420973?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2\/5 + 13\/30. Let u(g) be the second derivative of 9\/50*g**5 - c*g**4 + 0*g**2 + 0*g**3 - 8\/25*g**6 - g + 16\/105*g**7 + 0. Factor u(o).\nAnswer: 2*o**2*(o - 1)*(4*o - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -60 - -58. Let x be (8\/(-14))\/(h\/(-42)*-2). Let k = 71 - 41. Calculate the greatest common divisor of x and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2*4\/48)\/(22\/(-220))*-3\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.056 + -0.027. Let h = l + -0.02899971. What is h rounded to seven decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 divided by -127?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1154237551\/3301 - 349663. Let o = c - -280777\/52816. What is the common denominator of 139\/6 and o?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 320132.8849 - 317407. Let z = f - 2726. Round z to two decimal places.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 10, -5\/189, 4, 0.04?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*c - 24 = -25*c. Let y be -2 - (3 + c) - 30. Let t = 4 - y. What are the prime factors of t?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/5 (b) 3 (c) -5\/7 (d) 1\/7 (e) 0.633\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -243*d. Let l(v) = -6*v. Determine r(l(w)).\nAnswer: 1458*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 28826984?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11408?\nAnswer: 2, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -112\/5 + 2\/5*b**2 + 4*b = 0.\nAnswer: -14, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -2*x**2 + x + 1. Let z be 1 + (-3)\/(-3) + -1. Let u(s) = -s**2 - s. Let h(y) = z*i(y) + u(y). Find the first derivative of h(v) wrt v.\nAnswer: -6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1405904?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -159 - -166. Suppose -s*i + 30391 = -70192. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 915 divide 58628900?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 1\/70, -0.005, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 6}. What is prob of picking 4 v?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 - 1660*j - 16681. Determine q(-10).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 641*q = 649*q - 64 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2121120010 (base 3) to base 14.\nAnswer: -14a62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/96 and -109\/30?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3404335 (base 9) to base 14.\nAnswer: -35a394","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -110 + -23?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1625 divided by 13?\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2926954535283 - -2926954531305.000005874. Let y = r - -3978. Round y to 7 decimal places.\nAnswer: 0.0000059","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of g**4\/24 - 10*g**3\/3 - g**2 - 52*g. Let i be m(27). Solve -j - 1 = -4*s, -i*j - 5 = -2*j + s for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 435 and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/3)\/(((-51)\/18)\/(-17))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(96) - -1*sqrt(96) - sqrt(162)\/sqrt(3))\/(2*sqrt(50) + 4*3*sqrt(2)).\nAnswer: 5*sqrt(3)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4703 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 = -3*m - 58, -3*m = 8*s - 2329622. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14879.\nAnswer: 14879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 99644198 to the power of 1\/2, to the nearest integer?\nAnswer: 9982","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8)\/(-5) + (4 + -11 - (-1056)\/165). Let n(k) = k**2 + 5*k + 1. Let q be n(-4). Sort 7, q, 2, t in ascending order.\nAnswer: q, t, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(2\/5))**(-1\/9)*(l\/(l*l\/(l\/((((((l\/(l\/(l**0*l)))\/l)\/l*l)\/l)\/l)\/l))*l))**(-25) assuming l is positive.\nAnswer: l**(-751\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dg when two letters picked without replacement from {d: 1, g: 1, t: 4, r: 4, x: 3}?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 40, 542184, 9.\nAnswer: 9, 40, 542184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -3*d - 3. Let z be q(5). Let v be ((-12)\/z)\/((-1)\/(-3)). Suppose -l - 1 = 2*j - 2, -v*l + 12 = -j. Calculate the remainder when 12 is divided by l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 57\/7 of a week?\nAnswer: 57","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*c**3*r**2 - 4*c**3*r - 33*c**2*r**2 - 3*c**2 wrt c.\nAnswer: -12*r**2 - 24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 143 - 3. Calculate the greatest common factor of 20 and d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-7 + 1 + 4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 - 4*w**2 + w + 2. Suppose -2*h - 4*v = -6, 0*v = 4*h - 2*v - 42. Let f be o(h). What is the remainder when 34 is divided by (-2)\/5 - f\/(-40)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the second derivative of i**8\/1680 + i**7\/504 + i**6\/720 - 13*i**4\/3 - 3*i - 1. Let h(z) be the third derivative of p(z). Factor h(x).\nAnswer: x*(x + 1)*(4*x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/14 - (-58)\/(-7). Let p be (-2)\/(-5) - b\/(-20). What is the second derivative of 2*l**3 - 2*l + 3*l**3 + p*l wrt l?\nAnswer: 30*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16*((-31)\/(-10) + -3) + 2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -40496, -161408, -362930, -645062, -1007804, -1451156, -1975118?\n\"Answer: -40305*q**2 + 3*q - 194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -4333, -17302, -38919, -69190, -108121, -155718?\n\"Answer: -g**3 - 4318*g**2 - 8*g - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/10)\/(236\/(802400\/6290))\nAnswer: -4\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4241\/11 + -385. Let u be (-4)\/16 - (-17)\/4. Which is the third smallest value? (a) -5 (b) u (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -4*f**2 - f**3 - 3 - 6*f + 11*f - 2*f**2. Let b be q(-7). What is the third derivative of b - 11 + 0*d**2 - 3*d**2 - 12*d**4 wrt d?\nAnswer: -288*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 9*c - 29 + 3 + 17. Suppose g = 3*i - 6, g + 4*i + 0*i - 22 = 0. Let z be y(g). What is the greatest common divisor of 5 and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:34 AM and 9:02 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2909107604?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 68, 133, 206, 287?\n\"Answer: 4*n**2 + 53*n + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 685867 and 2275?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h + 3*w - 10, 7 = 4*h - w + 16. Let j be (-4)\/5 + (-524084)\/(-666930). Is j less than or equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 3:45 PM?\nAnswer: 12:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101 - -111?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*m**2*q + 10163861*m**2 - 71884*m*q + q wrt q.\nAnswer: -3*m**2 - 71884*m + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 24 - 265050?\nAnswer: -265023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 10 + -9 - -13 - 2\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 112014773531 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6.33 + -4. Let i = 4436.9483 - 4434.6. Let z = x - i. What is z rounded to 3 dps?\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.3, 2\/5, 3604?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add 9 and 81.5.\nAnswer: 90.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1918 is divided by 192?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6449?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1\/157 + -307\/1099. Put 13, f, -0.5 in descending order.\nAnswer: 13, f, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1401417920?\nAnswer: 2, 5, 7, 37, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4136 minus 0.008?\nAnswer: 0.4056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.009202 rounded to three decimal places?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 56187656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4790 and 55.\nAnswer: -263450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -a4434 (base 11) to base 4\nAnswer: -211022333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * 3780\nAnswer: 1134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the first derivative of -m**3\/3 - 23*m**2\/2 - 106*m - 101. Let o be v(-17). Which is the smallest value? (a) 2\/9 (b) -0.4 (c) o (d) 20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19*(-1)\/4 - (-2)\/8\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 2*m + 4538 - 4525 = 0, 0 = 7*t + 2*m + 47 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2181000 rounded to the nearest one hundred thousand?\nAnswer: 2200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 149294 and 136?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 0*q = 15. Let y(k) = 2*k**2 + 5*k - 6. What are the prime factors of y(q)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 406490 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*j + j - 32765571 + 9952733 = 0. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -116 + 10?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2823809675 to the power of 1\/2, to the nearest integer?\nAnswer: 53140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 2975760 to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the third derivative of -q**6\/1380 + 16*q**5\/115 - 135*q**4\/23 + 7600*q**3\/69 - 8231*q**2 + 2. Factor r(z).\nAnswer: -2*(z - 76)*(z - 10)**2\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 225 - 223. What is the second biggest value in 0.1, -10\/7, w, 3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6407 is divided by 797?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:57 PM and 1:45 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1407405152?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162) - (sqrt(162) - -2*sqrt(162))*6)\/(sqrt(48)\/(-1*sqrt(8)*-1 + sqrt(8))).\nAnswer: -102*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 68817734 by 38.\nAnswer: 1810993","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 132 - 143. Let j(s) = -s**3 - 12*s**2 - 14*s - 18. Let t be j(g). Solve 5*y - 2*h + 20 = 0, -5*y + 3*h = 10 + t for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -5*m - 23, -2 = -2*g - 4*m - 6. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 861754920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 - 4*d**2 - 3*d - 17. Let f be v(-5). Solve 9 = 20*p - f*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + ((-2*(sqrt(76) + sqrt(76)*3 + sqrt(76)) - ((sqrt(76) + sqrt(76)*1 - sqrt(76)) + 3))*4)**2)*-2.\nAnswer: -294550 - 4224*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, -39 in decreasing order.\nAnswer: -3, -4, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 - 8*u + 672. Calculate i(-36).\nAnswer: -336","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -h - 4*h. Suppose h = -5*p + 3*b, -3*p - b - 3 = -4*b. Suppose -2*q + 5*v = 8 - p, -2*v = 4*q - 46. What is the least common multiple of q and 11?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*w - 261*w + 15*w + (-4*w + 4*w + w)*(0 - 1 + 0)*(2 + 6 - 1) in the form u*w + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.001, 243.4, 0.06 in increasing order.\nAnswer: 0.001, 0.06, 243.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -4*g + 39. Suppose -g = -4*p + 7. Suppose a + 3 = p. Solve 0*o - 8 = -a*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.03 + 1.23. Let k = -117991358 - -117991356.80000022. Let b = d + k. Round b to seven decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1159 - 336109\/290. Calculate the common denominator of -95\/174 and y.\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 630846.\nAnswer: 2, 3, 101, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of 13*k - 8\/9*k**3 - 1\/72*k**4 + 4\/45*k**5 - k**2 + 0 + 1\/360*k**6. Factor y(j).\nAnswer: (j - 1)*(j + 1)*(j + 16)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 0 = 3. Let g(r) = 6*r - 14. Let k(z) = 2*z - 5. Let i(t) = u*g(t) + 8*k(t). Is i(-4) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -261*s**3 + 88*s**2 + 35*s - 69406975.\nAnswer: -783*s**2 + 176*s + 35","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-184499998)\/5)\/(-1) - 20\/(-50). Round r to the nearest 1000000.\nAnswer: 37000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(4\/(-10)) + -1. Suppose 5*y - 5*z = -5, y = 3*y + w*z - 28. Suppose 0 = -2*r - 5*f + 44, -y*f + 7 = 5*r - 86. Does 11 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 9, 0.5, 19, -3, -6?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-6)\/(-1))\/(-8 - -11). Solve -4*c = d*l - 20, 0 = -4*c + l + 35 - 15 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -3*w**2 + 25*w - 6. Let p be c(7). Suppose 0 = -5*f - 5, 5*j + f = 3*f + p. Suppose -4*y + 22 = -j*o - 558, 580 = 4*y + o. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -147*r**4 - 378*r**3 - 327*r**2 - 108*r - 12.\nAnswer: -3*(r + 1)**2*(7*r + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + 2 + (-96)\/51. Suppose 0 = 4*k - 8, 0 = 2*x - 7*x - 2*k - 1. Is x bigger than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24604780 rounded to the nearest 100000?\nAnswer: 24600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 (base 15) in base 16?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*v**5 - 28*v**4 - 28*v**3 + 204*v**2 + 576*v + 432 = 0. What is v?\nAnswer: -3, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0727 rounded to 3 dps?\nAnswer: 0.073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5)\/45*-6*165. What is the greatest common factor of 320 and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -251\/4, -289, -4\/3, -6?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 7\/4 of a centimeter?\nAnswer: 17500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-2124)\/(-6) - 1)\/(2\/6) is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -162190*r**5 - 38*r**2 - 4853.\nAnswer: -9731400*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 24607043 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 AM and 10:52 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -559, -936, -1559, -2422, -3519, -4844, -6391, -8154?\n\"Answer: a**3 - 129*a**2 + 3*a - 434","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*d - 4*s, 2*d - 10 = -3*d - 3*s. Find the third derivative of 41*o**2 - 44*o**d - 9*o**4 - 2*o**3 + 2*o**3 wrt o.\nAnswer: -216*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.02 or 137\/11300?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 10720075 (base 8) to base 6\nAnswer: 122013101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 77 - 82. What is the closest to 0 in -0.2, y, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 14027.5464 hours?\nAnswer: 83.4973","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3903*t + 3900*t = 5*j - 78, -3*j + 41 = -4*t for j.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -156 + 152 + 21 + -3 + 2 + -2\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-51)\/(-68) - (-1)\/4. Let o(j) = 14*j**3 + j**2 - 3*j + 2. Let h be o(z). Which is smaller: 16 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14398450 is divided by 142.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00892922 rounded to 5 decimal places?\nAnswer: 0.00893","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 + -76866323207520.\nAnswer: -76866323207520.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f**(-7)\/f)\/f)\/f*f)\/(f**(4\/3)\/f))\/(f**(-10)*f**(-2\/7)) assuming f is positive.\nAnswer: f**(20\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from brr. Give prob of sequence rrr.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 1226 divide 2850545?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 + 15*z**2 + 15*z + 19. Let k be m(-14). Suppose 3*y = 12 - 3, -5*p - k*y = -285. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 147991 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - 5. Let y = 6 + m. Solve -r + y = 0, -5*i + 8*r = 5*r - 3 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17679 and 307785?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -35*f**3 - 30*f**2 - 30. Let l(q) = -2*q**3 - 1 + q**3 + 28*q**2 - 10*q**2 - 19*q**2. What is g(a) - 30*l(a)?\nAnswer: -5*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/5 - (-252)\/30. What is the highest common factor of 32 and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/147)\/(24\/112).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h = -156 - 60. What is the second derivative of -49*a**3 - 21*a**3 - 37*a**3 - 27*a**4 - 3 + 28*a**4 + h*a wrt a?\nAnswer: 12*a**2 - 642*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*2*sqrt(64)*1)\/(((sqrt(80) + sqrt(80) + -2*sqrt(80) + sqrt(80))*5)\/(sqrt(810) + (sqrt(810)*-1 - sqrt(810)))).\nAnswer: -36*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 23620\/23, 3\/2, -2\/5, -0.2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-17)\/(-2) - (-2)\/(-4). Suppose 7*o - 3*o - 2 = -b, -z = 5*o - 4*b. Suppose 6 = l + 4. Solve o = l*x + 2*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2167\/26 at least 20.591?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43 + 21 - (23 + -21 + -4 + 1).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 997 is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25 - -10. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 - 28*p**2 - 43*p + 1194. Give u(28).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 218, 0.91, 1494?\nAnswer: 218","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 593 is divided by 66.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 988 + -511. Let f be (g\/265)\/((-6)\/(-40)). Suppose 7*i - 324 = 4*i. Calculate the highest common divisor of i and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/14 + 3289\/(-483). Let c = -17 - -10. Is c < j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 545213?\nAnswer: 545213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 98, 3, 1, -32, -14.\nAnswer: -32, -14, 0, 1, 3, 98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 3*h - 16. Let n = -3 + h. Let r be (2\/(-4))\/(n\/(-4)). Solve -p + 5 = -w + r*p, 0 = -2*p + 6 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(242) + sqrt(242)*4 + 1*sqrt(8)\/sqrt(4).\nAnswer: 56*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/((-4)\/((-24)\/9)). Let m be p\/(-4)*18\/1. Suppose -m = -t - 0*b - 4*b, t + 2*b = 5. Solve -h - 29 = 5*i - t, 4*h - i = -7 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5582.069 - 5583. Round r to one dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19064*d = -19065*d + 9, -5*d + 41 = m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (63\/(-15))\/(1\/(-24 + 4)). Suppose -5*g = -291 - j. Calculate the remainder when g is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 24.9 + -25.1. Let v(u) = 138*u - 3. Let m be v(-2). Let t = m - -2235\/8. Which is the nearest to t? (a) k (b) 1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2977 = -536*w - 2383 for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**2 - 15084*d - 18960588.\nAnswer: -3*(d + 2514)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1489\/22185 + 2\/4437. Let t = -6 - -3. What is the second biggest value in t, p, 1\/2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 8:49 PM?\nAnswer: 8:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(252) + -5 + sqrt(252)*-2.\nAnswer: -6*sqrt(7) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13793930863 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwwowowww. What is prob of picking 2 o?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 145949 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1088.379 millilitres to litres.\nAnswer: 1.088379","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 4*u**2 + 6*u + 5. Let y(x) be the first derivative of -3*x**3 - 7*x**2 - 12*x - 62. Let s(f) = -7*r(f) - 3*y(f). Calculate s(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*f**2*q*u - f**2*q + 9875229*f**2 + 619*f*q - 3*f*u - q*u + 27580 wrt f.\nAnswer: -10*q*u - 2*q + 19750458","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = 2*q + 15. Let n = q - 15. Suppose 0 = f + 3*f + 16, -n*f - 49 = -k. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/891 and -47\/486.\nAnswer: 5346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 38.89571 litres in millilitres?\nAnswer: 38895.71","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -4*i. Let f(y) = -2*y. Let t(o) = -4*f(o) + 5*z(o). Let l(g) be the second derivative of g**3\/3 - g. Calculate t(l(w)).\nAnswer: -24*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -515283, -2061160, -4637621, -8244666?\n\"Answer: -515292*i**2 - i + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 36 = -5*f. Let v = f - 5. Suppose 0 = -v*q + 2*a - 8, -5*q - 6*a + 4*a = 28. What is the second biggest value in 5, q, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 356431260*p**2 - 81644484*p.\nAnswer: 712862520","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -197222*y**2 + 3*y + 10. Let g be k(-6). Round g to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 7:12 PM?\nAnswer: 2:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 0, -0.2, 0.4, 19, -0.82?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 37.55 - 5.85. Let g = o + -31.69749. Round g to four decimal places.\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven eighths of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 + k**2 - 2*k + 3. Suppose 0 = -3*d - y - 2, 0 = y + 2 - 6. Let o be (-4 + 2)*(1 + d). Let g be a(o). What is the biggest value in 1\/7, -1\/8, g?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 + 37. Let g = 57 - 50. Calculate the lowest common multiple of o and g.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -186 = -3*x + 5*t - 164, 4*x + 4*t - 8 = 0. Let j = 40\/7 - 38\/7. Which is the closest to -1\/3? (a) j (b) x (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7682954 and 1216?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 490 and 40964.\nAnswer: 204820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 2 - 6. Let m = 3 + s. Suppose c - m*d - 78 = 0, 239 + 41 = 5*c - 3*d. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 10*s + 112. Let l be a(-11). Let c(r) = 43*r**2 - 27*r**l - 17*r**2. Let o(i) = -2 + 10*i + 2. What is c(o(v))?\nAnswer: -100*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ara when three letters picked without replacement from gqaaqqaarqaharh.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 - -16. Let s be 16\/t - (-5)\/15. Solve s*x = 4*h + 9, 3*x - 4*h - 3 = -2*h for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 335\/69 - 104\/23. Let h = -1833\/28 + 131\/2. Let w = -15\/28 - h. What is the closest to p in -0.3, w, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -46 - 3ad7?\nAnswer: -3b3d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 627425737 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**2 - 4561160*z - 1040209027280.\nAnswer: -5*(z + 456116)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2773\/519 - 5\/519. Put r, 2, -25 in descending order.\nAnswer: r, 2, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -42*c**5*l - 757421*c**2*l - 2*c*l + 927*c + 6*l + 651 wrt c?\nAnswer: -840*c**3*l - 1514842*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/(-5))\/(6\/(-30)). Let t = 5 - l. Differentiate 5*j + 0*j - t - 3*j - j with respect to j.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 778 is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -717, 0, 397 in increasing order.\nAnswer: -717, -5, 0, 397","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4.372 (b) -0.02 (c) 0 (d) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1306*p - 23115 - 21056 = -24011 + 63424 for p.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uoyuojojjuoyyhhohoh. What is prob of sequence jyjo?\nAnswer: 3\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.3 + 0.2. Let s = -0.19 - -0.39. Suppose 2*v + 0 = -4*d - 4, 3*v + 6 = -3*d. Which is the nearest to -0.1? (a) p (b) s (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -115? (a) -0.068 (b) -3 (c) 5 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 546\/4*((-2400)\/(-90) + -18) is divided by 149?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 11*y**2 + 9*y + 10. Is 88 a factor of s(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*a**3*g**3 - 131*a**3 - a*g**3 + 15*a - 3 wrt a.\nAnswer: 12*a*g**3 - 786*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 1036442232?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*b + b - 2*b to the form m + l*b and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -3*w**2 + 2*w - 9. Let d(r) = 8*r**2 - 6*r + 26. Let t be -2 + (-1)\/1 + -8. Let p(j) = t*q(j) - 4*d(j). What is p(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sstltstcttss. Give prob of picking 1 c and 2 s.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 75*x**3 - 2*x**2 - 30*x - 10. Let w(z) = 375*z**3 - 16*z**2 - 151*z - 51. Let a(d) = 22*m(d) - 4*w(d). Let a(b) = 0. What is b?\nAnswer: -2\/5, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of 11*o**3 + 158. Let h(r) = 2*r + 0*r + 4*r - 8*r + 7*r. Calculate h(n(a)).\nAnswer: 165*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 0.3, -1, 0, 3, 1\/25 in decreasing order.\nAnswer: 3, 0.3, 0.1, 1\/25, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add -3088204563140 and -2.\nAnswer: -3088204563142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7 and 22.\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -33019\/342 + 1884\/19. Let c = -7181\/54 + 133. What is the common denominator of m and c?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 50 + 11. Suppose -i + 19 = x, 20 = -2*x - 3*x. Suppose w + i = 2*a. Is a a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 468.6167km?\nAnswer: 468616700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - o - 4*z = 13, z = 2*o + 9. Let t = -2 - o. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + -13. Let y = -47400 - -47399.5. Put c, y, 3\/4, 1\/2 in ascending order.\nAnswer: c, y, 1\/2, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 - 0. Calculate the lowest common multiple of 4 and 2\/(-1 - (-9)\/y).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3212504 - -30?\nAnswer: 3212534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 AM and 1:26 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 13 = 1. What is the third derivative of -1 + p - 3*c**2 - 6 - 4*c**3 wrt c?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 4262*q - 8. Let s(k) = 26*k - 1. Let c(d) = -f(d) + 8*s(d). Let t(w) = w**2. Give c(t(r)).\nAnswer: -4054*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 27*g**2 + 30*g - 47. Give u(2).\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2009862879\/20 - -100522035. Let o = x - 28885. Find the common denominator of o and 7\/46.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -6, -2, 17 in decreasing order.\nAnswer: 17, -1, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -209 - 655 = -63*p + 9*p for p.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -2*x**3 + 52*x**2 - 6*x - 67. Is d(24) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -179 in -15, -3\/2, -1801, 0.5?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 1723 + 67*u - 1723 in the form k*u + v and give k.\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = -14 + 16 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a millennium in centuries?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2*x**3 - 25*x**2 - 138*x - 1910. Calculate g(-12).\nAnswer: -398","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000856793 rounded to seven dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.59 - 0.29. Let t = 1 - 0.5. What is the second biggest value in -2, t, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u**4 + 8*u**4 + 10*u**4)*((-3 + 4 - 3)*(2 + 2*u - 2) + 7 - 3*u - 7).\nAnswer: -126*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.9 - -2. Let x be (-8)\/4 + (-6)\/3*-22. Let r be (-5)\/(245\/x)*1\/(-2). Which is the biggest value? (a) 2\/5 (b) r (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b + 38. Let l(u) = 3*u - 115. Let r(x) = 2*l(x) + 7*o(x). What are the prime factors of r(7)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22332 - 44735 = -40*r - 22283. Let -r*f - 8 + 1\/2*f**2 = 0. What is f?\nAnswer: -2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + -56 + 45 + 26?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24 and 549?\nAnswer: 4392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (96\/20 - 4)*5. Solve m - a*m = 15 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -65 - 5*t + t + 5*t + 17 in the form r + m*t and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 86*q**2 - 4*q - 23. Let f(s) = 129*s**2 - 6*s - 34. Let u = 295 + -302. Let j(y) = u*z(y) + 5*f(y). What is the second derivative of j(p) wrt p?\nAnswer: 86","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11294890 or -11294889?\nAnswer: -11294889","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000275188 to four decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4569 - -4571. What is the lowest common multiple of 252 and j?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 228 + -228. Solve m = 3*z + 4*q - 8, -4*z - 5*q = -11 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**4 + i**3 + 1. Let l(u) = 8*u**4 - 15*u**3 + 17*u**2 - 1. Let k(t) = -l(t) + 3*n(t). Find y, given that k(y) = 0.\nAnswer: -2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10600829 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 27 or -0.69004?\nAnswer: -0.69004","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -778633216*z**2 - 2790400*z - 2500.\nAnswer: -4*(13952*z + 25)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 32\/5 and -71\/344880.\nAnswer: 344880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 283260, 1132990, 2549198, 4531884?\n\"Answer: 283239*d**2 + 13*d + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, j: 4, q: 2, p: 4, a: 3}. What is prob of picking 3 j?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-16)\/(-56))\/((-3)\/(-7)*20))\/(22\/(-176))?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i + 4*i + 0*i)*(4 + 4 - 6)*(5*i + 0*i - 2*i).\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2182765603 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 2*z - 187 = -24, -10*w = -15*w - z - 151 for w.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z - 5. Let m be i(4). Let x = 5.01386 - 0.01386. Suppose -w - 4*q = -2, 2*q + 10 = 5*w - 3*q. What is the nearest to m in 3\/4, w, x?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5206823516 - 6*p**3 + 5206823516.\nAnswer: -6*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 15573662?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 155 is divided by 80?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of 0*v**2 + 196 + 0*v**3 + 237\/4*v**4 - 30*v. What is the derivative of g(a) wrt a?\nAnswer: 711*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + 1. Let v(c) = c**3 - 4*c**2 - 5*c - 6. Determine v(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 176\/28 - 3 - (-4)\/(-14). Suppose 3*b - 2*k = 4*b, 0 = -j*b + k + 35. Let o(f) = f**2 - 12*f + 7. Give o(b).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1471787 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.3 + 4.5. Let x = -1.2 + v. Let d = -64.2 + 64.7. Which is the nearest to x? (a) d (b) -2\/7 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (28 + 828\/(-30))\/(((-21)\/(-15))\/(-1))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -48, -3, -1, -2 in decreasing order.\nAnswer: 0, -1, -2, -3, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 186559 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4602702578 to the power of 1\/2, to the nearest integer?\nAnswer: 67843","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*s - 3417 = -3921. Solve r + 3*v = -18, 0 = -2*r + 10*v - s*v + 9 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/8*-2*(-3)\/(-21)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2302 and 9828.4189?\nAnswer: 12130.4189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 210 and 245330568.\nAnswer: 1226652840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -3384 + 319. Let v = x + 621. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = 463*n - 465*n - 12, 5*q - 5*n - 30 = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2*x**2 + 10*x - 1. Is 2 a factor of k(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 111129488?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2149*d + 2149*d - 20*d**2)*(-6 + 4 + 4).\nAnswer: -40*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1149, 1990, 2725, 3348, 3853?\n\"Answer: -o**3 - 47*o**2 + 989*o + 208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8\/4 + 3*2. Let g = 23 - v. Solve -t + 0*t = 3*q - 15, 3*q = 5*t + g for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98 is divided by 21.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/3 (b) 1 (c) 1\/2 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from aabbbab.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.47387541 rounded to three dps?\nAnswer: -0.474","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 54225.3 months in millennia?\nAnswer: 4.518775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2086)\/21 - (-1)\/3. Suppose 2*i = d - 273, -i + 645 = -5*d + 2019. Let b = y + d. What is the highest common divisor of b and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (4 - 3) + 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a century in months?\nAnswer: 1320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 4560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1143 smaller than -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 610017 to the nearest integer?\nAnswer: 781","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1121*q*t**4 + q*t**2 - 79*q*t - 11*q - 32774*t**4 + 11*t - 217 wrt t.\nAnswer: -26904*q*t - 786576*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -801159638 less than -765.8?\nAnswer: 801158872.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/(-3)*(-16)\/248. Let b = x - 75\/341. What is the third smallest value in b, -0.3, -4\/9?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of y**7\/147 + y**6\/420 - 5*y**2\/2 + 1. Let g(j) be the second derivative of u(j). Let g(w) = 0. What is w?\nAnswer: -1\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 + 7*d + 9. Let z be j(-6). Let o = -3 - -2. Let c = o + 3. Solve c*p - z = 5*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 15\/12 - 4\/16. Let y = c - -22. What are the prime factors of y?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) -1\/17 (b) 32 (c) -9 (d) 3 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 261 and 117?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of 0*b - 1\/1344*b**8 + 0 - 7\/480*b**6 - 1\/168*b**7 + 4*b**2 + 1\/6*b**3 + 1\/12*b**4 + 1\/240*b**5. Solve w(x) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10735 + 5362 - 10*c**2 + 5373.\nAnswer: -10*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22185 and 274635?\nAnswer: 765","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 AM and 7:40 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 514060, 1 in descending order.\nAnswer: 514060, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6552*u + 6554*u - 33 + 33 + 77*u**2.\nAnswer: 77*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 10\/16*(-4)\/((-20)\/(-31)) and -73\/64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*d**3 - 378*d**2 + 922*d + 96.\nAnswer: 2*(d - 16)*(d - 3)*(10*d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9047.417l to millilitres.\nAnswer: 9047417","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 6:50 AM?\nAnswer: 6:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 - 2*l - 1 - 3*l**2 + 40*l**3 - 12 - 138*l**3 + 0 to v*l**3 + k + s*l**2 + f*l and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 14 = -q - q, 4*q = -g - 10 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.25 + -2.25. What is the closest to -1\/2 in 3\/4, q, -4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 4*i + 32 = 0, -6*i + 32 = 4*w - 3*i. Let o be w\/36 + 5\/(-9). Is 0 not equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -56*u + 6. Let c be l(-4). Let y = 237 - c. Solve 29 = 4*a + v - 4*v, -y = -2*a - v for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 10 = 32*j - 34*j, 3*j - 25 = 4*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2a9 - 0?\nAnswer: -2a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 15 and 890?\nAnswer: 13350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g = -6*g + 18*g + 75 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 3)*(2*i - 4*i + 4*i) - i + 6*i - 3*i + (-217 + 47*i + 217)*(4 - 3 - 2) + (0*i - 5*i + 4*i)*(-4 + 2 + 0).\nAnswer: -39*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -92*j - 24. Let l(b) = -31*b - 8. Let y(t) = 17*l(t) - 6*p(t). Let q be y(-6). Let n = 237 + q. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z = 10*z - 1972. Let a = z + 142. Is a a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (5 + -1*sqrt(605))**2 + 2 - (-3 + 6*(((1*sqrt(320) - sqrt(320)) + -3 - sqrt(320)) + sqrt(320) - sqrt(320)))**2.\nAnswer: -11330 - 2126*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 - 12. Let f be (-2 - v) + (2 - 2). Let g = -11 + 10.7. Which is the second smallest value? (a) -0.1 (b) f (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 3*n + 21 = 0, 0 = -z - z + 4*n + 14. Let c = -9 + z. Solve c*i - 2 = i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 + (-6 + -1 - -6) - -5. Solve -l - l - 6 = x for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-12))\/((-2)\/(-6))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1603300 - 4793423\nAnswer: -6396723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 AM and 4:09 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 36*q + 2. Let g = 3 - 7. Let z be t(g). Let u be (-2)\/(-4) + z\/(-4). Calculate the highest common divisor of 90 and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-2*(-8)\/368*(-2)\/(-2)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the second derivative of -u**3\/6 + 2*u**2 - 6*u. Calculate the remainder when 47 is divided by y(-8).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20121 (base 3) in base 10?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f - 4. Let t be n(-10). Let p = -2 + t. Which is the third smallest value? (a) p (b) -5\/2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -716*i = -262*i + 1025*i - 19227 for i.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 - 3 = 4*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 9429, 18871, 28309, 37743, 47173, 56599, 66021?\n\"Answer: -2*n**2 + 9448*n - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 3*c. Suppose 4*n + n + 5 = c. Let m(d) = -d**2 - 1. Let t(h) = 3*h**2 + 6. Determine n*t(z) - 4*m(z).\nAnswer: z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -31891839 rounded to the nearest ten thousand?\nAnswer: -31890000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*q - 42*q**4 - 8*q + 37*q**4 + 4*q wrt q.\nAnswer: -60*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000023 to 6 decimal places.\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -695 - -704. Calculate the smallest common multiple of 18 and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -151 + 156. Solve -h = 5*k, 0 = -n + 2*n - 4*k + 1 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 105*y + 8641 - 8641 in the form t*y + f and give t.\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14*b**3*v - 3615*b**3 + 2*b**2*v + 633*b**2 + 11540*b*v + 2*b + 3*v - 20 wrt b?\nAnswer: 84*b*v - 21690*b + 4*v + 1266","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3698*u**4 + 19968*u**3 - 613628630.\nAnswer: 14792*u**3 + 59904*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 28.28849 milligrams?\nAnswer: 0.00002828849","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -25*g + g**2 + 19*g + 17*g + (0 + 0 + 2)*(-4*g**2 - g**2 + 3*g**2) - g**2 - 3*g**2 + 3*g**2.\nAnswer: -4*g**2 + 11*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (388\/(-97))\/((-558)\/((-18)\/2)).\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 0)\/((-1)\/(-7))*(4 - 5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*r**4\/9 + 20*r**3\/9 + 14*r**2 + 64*r\/9 - 10\/9 = 0. What is r?\nAnswer: -1, 1\/8, 5\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g - g**3 + 4*g)*(-3*g**2 - 2*g**2 + 6*g**2 + (-1 - 2*g + 1)*(-g - 2*g + 2*g) + g**2 + g**2 + 0*g**2).\nAnswer: -5*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 0 (c) -22 (d) 9 (e) 0.4 (f) 2.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of -1\/2*v**4 + 59*v + 0*v**3 - 112 - 93\/2*v**2. What is the first derivative of f(w) wrt w?\nAnswer: -6*w**2 - 93","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 2*j = 8 - 16, 4*v = 3*j + 23 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 8 = 0, 0*z - 3*z + 54 = 28*r - 70 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 271*r + 200*r - 1677*r**2 + 474 + 556*r**2 + 559*r**2 + 559*r**2.\nAnswer: -3*(r - 158)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9170 and 458500.\nAnswer: 458500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -618 - -623. Suppose 5 = z*p, 44 = h - p - 18. Let s(f) = 3*f**2 - 5*f + 4. Calculate the remainder when h is divided by s(3).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -71131, -71120, -71091, -71038, -70955, -70836, -70675?\n\"Answer: o**3 + 3*o**2 - 5*o - 71130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1205?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/3 of a millennium?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1914.16 - -1915. Is 13\/2 at most as big as o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62\/3 of a decade in months?\nAnswer: 2480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -22*c + 23*c - 5 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 44670 and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 - 0 - 9\/3. Calculate the common denominator of (-59)\/(21 - (1 - 2)) and (-47)\/z + 1 + 2.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 10, 0.5, 2\/73, -0.5, 39?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 3*f + 7. Let k(d) = d + 2. Give 2*c(p) - 9*k(p).\nAnswer: -3*p - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15610, -31219, -46828, -62437?\nAnswer: -78046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 AM and 7:33 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20 is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -9*r + 3. Let c be 0 - (-4 + (-8)\/(-4)). Let d(n) = c + 0*n - 4*n + 3*n - 4*n. Give 11*d(a) - 6*g(a).\nAnswer: -a + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01248273 rounded to four dps?\nAnswer: 0.0125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 25 = -2*l - 5*n, -4*l = 5*n - 55. Suppose 3*x - 80 = -x + 2*u, -4*x + 5*u = -92. Calculate the remainder when x is divided by l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5637 is divided by 376?\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3523?\nAnswer: 13, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8977 and 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*j**5\/5 - 6216*j**4 + 899382*j**3\/5 - 1208592*j**2 - 1394685*j = 0. What is j?\nAnswer: -1, 0, 15, 10331","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5233293*c*y**3 - 2*c*y**2 + 10281455*c with respect to y.\nAnswer: 15699879*c*y**2 - 4*c*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 192 in 2\/7, 11, -2, -1\/98?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -869288, -1738412, -2607536?\nAnswer: -3476660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00005683988 to 6 dps.\nAnswer: -0.000057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8442 is divided by 51?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 255 = -0*x. List the prime factors of x.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -19 - 17. Let c = s + -6. Solve i + 7 = -2*x, -5*i - x + c*x = -1 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 21, 39, 43, 27, -15, -89, -201?\n\"Answer: -w**3 - w**2 + 28*w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -51*s. Let n(i) = 32*i. Let h(g) = -5*n(g) - 3*t(g). Let m(p) = -6*p + 0*p + 16*p. Give h(m(a)).\nAnswer: -70*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 - 18*m + 5. Let w be f(17). Let l be (-1124)\/(-14) - 10\/35. Let g be (l\/3)\/(w\/84150). Round g to the nearest ten thousand.\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4090763*m**3 + 1211031?\nAnswer: -12272289*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*a + 756 = -432*a - 3994 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 290.3001 millilitres to litres.\nAnswer: 0.2903001","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 4*m**3 - 5*m**2 + 5. Let r(x) = 36*x**3 - 8*x**2 + 28*x + 64. Let h(v) = -4*v**3 + v**2 - 3*v - 7. Let d(k) = 28*h(k) + 3*r(k). Give 6*d(s) + 5*w(s).\nAnswer: -4*s**3 - s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-14)\/(-6)*(4660\/560 - 8). Solve q*t**2 - 27\/4*t - 15\/2 = 0 for t.\nAnswer: -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from fmrxffrffrfxxrxfmmf?\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2185 + 19602. Suppose 7*v - u = 43182. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - -3c?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 31*r + 22. Calculate the remainder when 241 is divided by o(0).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8490 + 52841. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 a when two letters picked without replacement from {a: 1, p: 1, q: 1, s: 5, d: 4}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 6\/25 of a millennium?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.29 + -0.18. Let s = v - -0.78. Let w = -1.95 + s. What is w rounded to 1 dp?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 3*x**2 + 10*x + 17. Let m be w(-8). Let o = -111 + m. Suppose 0 = -8*s + o*s + 100. Which is smaller: -16 or s?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 3*f**2 - f + 1. Let v be i(1). Suppose x = -v*r - r + 82, -2*x = -5*r + 96. What is the highest common divisor of r and 100?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3505 smaller than 3494?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.56162 - 2.76162. Let i = 4 - 6. What is the nearest to v in 1\/7, 0, -0.2, i?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**2 - 6*u + 2. Let h be f(-7). Let o(i) = -i - 11. Let y be o(-7). Which is bigger: h or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 PM and 11:19 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 143\/444 and 127\/36?\nAnswer: 1332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and 16.9?\nAnswer: -67.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 280, 395, 600, 901, 1304, 1815, 2440?\nAnswer: 3185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2541 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 + 16*v**2 + 24*v - 38. Let u be s(-14). Let r = 108 + -48. Calculate the greatest common factor of u and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*j = -37*j + 24 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15951821 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 148 = 232*o - 235*o, 4*o = h - 50 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 1152*p**2. Let n(d) = 7*d**2 - 12*d - 18. Let q(y) = -8*y**2 + 14*y + 21. Let b(l) = 14*n(l) + 12*q(l). Determine b(u(h)).\nAnswer: 2654208*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {f: 4, o: 16}?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -3*t**3 + t + 2. Let j be i(-1). Suppose 0 = -2*l + 10, 4*u + 16 = 2*u + j*l. Solve 4*y = 4*c + 16, -2*y = 2*c + u*c + 16 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22508231567 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 5 = 2*b, 0*b + 3*k = -2*b - 3. Let w(j) = 4*j**2 + 1. Let m be w(-1). Let q = b + m. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4810581 and 746.\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t - 19. Let k be q(7). Let p be 3*-1*64\/k. Let d be 18 - (2 - p\/4). Solve 7*n - 2*n = -d for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (150\/(-250))\/(12\/(-50))?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158 is divided by 2 + 45 + -5 + (-4)\/2?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 19 = 4*h, -2*h + h - 3*p = 8. Let r(i) = 9*i**3 + i. Let l be r(h). What is the highest common factor of l and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 8*k - 5*k - 4 + 3 - 4*k. Let f be c(-5). Let a be (-1 - 8\/(-4)) + f. Calculate the highest common divisor of 15 and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001 (base 4) in base 6?\nAnswer: -145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c - 1. Give l(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -5.7. Let v = w + 0.4. Let m = 0.1 + -0.4. What is the nearest to -1\/2 in 0.2, m, v?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 276855 divided by -55371?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1*1)\/((-7)\/1197*1). Let n = 2561\/6 + -421. What is the common denominator of n and 258\/q*(6\/(-4) - 0)?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41992352 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert d12 (base 16) to base 2.\nAnswer: 110100010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9501462 and 22356?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -188.8477016 to two decimal places.\nAnswer: -188.85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2 - 13*u + 26. Let h = 31 - 28. Let z(m) = -3*m**2 + 40*m - 79. Let s(c) = h*z(c) + 8*g(c). Does 10 divide s(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 371 + ((-80)\/(-140))\/((-2)\/7). Calculate the greatest common divisor of b and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = 4*w - 196 + 31, 4*g = 75*w - 71*w - 132 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13 + 6 - f**2 - 5*f**3 - f**2 + 5 to the form u*f + t*f**3 + w + b*f**2 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 41\/5 - (-2)\/(-10). Suppose -4*c = -v*c + 12. Solve 5*t = 3*j - 14, -2*j = -5*j - c*t + 6 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2111212 (base 5) to base 12.\nAnswer: 1843a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.1 in 0.5, 0, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 29 + (-3 - (-25 + 76)) - (0 - -9)\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*t**2 + 2*t**2 - 5*t**2)*(5*t - 5*t - t) + 31 - 31 + 7*t**3)*(-3*t**2 - 5*t + 0*t + 3*t).\nAnswer: -24*t**5 - 16*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*p = -40 - 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -0.2, -4, 14?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7c + -14b317?\nAnswer: -14b279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (176\/(-2860))\/(4\/10). Sort 1, -37, c in increasing order.\nAnswer: -37, c, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -2, 633, -4 in descending order.\nAnswer: 633, 7, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3 - 8\/8) + 1482\/(-740). Let p = l + 4447\/2590. Let y = -555 + 11653\/21. Which is the nearest to 1\/2? (a) y (b) p (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 + 2*b - 3. Let j be y(4). Suppose g = 2*q + j, -5 = -g - 3*q + q. Let t(r) = r - r**2 + g - 2*r - 5 - 4*r. Calculate t(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 6734 and 0.19199.\nAnswer: 6734.19199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2.9 * -53413\nAnswer: 154897.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the third derivative of -l**4\/6 - 3*l**3\/2 + l**2. Suppose 12 - 92 = -40*w. Let c(g) = -g - 2. Calculate w*j(a) - 9*c(a).\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = -5*g + 5*k, -177*k + 35 = 5*g - 178*k for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.0499811 - 4.05. Round t to six dps.\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 divided by -7053?\nAnswer: 4\/2351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 2 - 6 = 0. Suppose 16 = 2*b - 3*f, 0 = -b - f - 0*f - 2. Put -5, o, b in decreasing order.\nAnswer: o, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q + 1. Let a(h) = -h**3 - 4*h**2 - h - 3. Let t(l) = -a(l) - b(l). Let k be t(-3). Let w = k - 8. What is the highest common divisor of 27 and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 - -34.251?\nAnswer: 34.451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 124 (base 5) to base 15.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -27*l - 3. Give i(2).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 4*b**3 - 394*b**2 + 4002*b + 55. Calculate f(87).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16434880.\nAnswer: 2, 5, 7, 11, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14824035?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10590 and 8472?\nAnswer: 42360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81284.\nAnswer: 2, 7, 2903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/24331 in 0.4, -5\/4, 4, 3, -168?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of 4*n**3 - 3*n**2 + 5. What is the units digit of z(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from {b: 17, g: 3}?\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 604b (base 13) to base 15\nAnswer: 3dd0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the third derivative of t**7\/70 + t**6\/20 + t**5\/20 + 12*t**2. Determine p so that h(p) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -250.1 + 251.1. Suppose 4*k = k + 12. What is the closest to x in 5, k, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 - 3*o + 2. Let s be w(-2). Solve -s*v = 2*f + 3 - 1, 5*v - 5*f = -10 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 66156 or 66166?\nAnswer: 66166","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1489 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -46\/3 and 73\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of -3\/20*w**5 + 1\/3*w**4 + 0 + 0*w**3 + 0*w**2 - w. Find the third derivative of q(u) wrt u.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*s + 9*s + 235 = -479 for s.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7 times 9655?\nAnswer: 6758.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 48 = -183. Suppose -5*l + z = n, 0*l - 2*n - 21 = -5*l. Suppose -l*g + 198 = -i, 0*i = 3*g + 2*i - 124. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -244059 + 81271712\/333. Calculate the common denominator of -52\/9 and y.\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of 5 - 841\/42*f**4 + 116\/21*f**3 + f - 4\/7*f**2. Suppose s(u) = 0. What is u?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6 - 0)*(6 + (-12474)\/(-12)). Suppose 12*p - z = -5*p. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssiisisiii. What is prob of sequence iisi?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-10)\/(-2)*(-21 - -20). Let j be 3\/((-2)\/10*k). Let x(i) be the third derivative of -7*i**4\/24 - i**3\/6 + 22*i**2. Calculate x(j).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 115891, 231782, 347675, 463570, 579467, 695366, 811267?\n\"Answer: p**2 + 115888*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from txrrxakxcaakxttatca. Give prob of picking 1 c, 1 x, and 1 a.\nAnswer: 40\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 3*g - 12 = -52, -g - 66 = -4*c. Let o(w) be the second derivative of 0*w**3 - c*w - 2\/45*w**6 + 0*w**5 + 0*w**2 + 0 + 1\/9*w**4. Factor o(j).\nAnswer: -4*j**2*(j - 1)*(j + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 570*d**5 - 76*d**2 - 6*d?\nAnswer: 34200*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from mumcamvmuvumtcaaaauv?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y - 3*y + y**3)*(-10*y**2 + 19*y - 19*y) + (y**2 - y**2 - y**3)*(2*y**2 + 32*y**2 - 7*y**2).\nAnswer: -37*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 25*y - 2 + 2*y**3 - 522*y**2 + 1044*y**2 - 522*y**2 - y as t*y + b + f*y**3 + h*y**2 and give t.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 h when two letters picked without replacement from {u: 1, l: 1, h: 2, m: 2}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 303 is divided by 25?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -3*o**2. Let w(a) = -25*a + 1. Let m be w(1). Let j be ((-6)\/m)\/((-2)\/(-8)). Calculate t(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25)\/(-15)*(84\/(-35))\/(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*u**4\/5 - 2488*u**3\/5 - 110182*u**2\/5 + 31684*u\/5.\nAnswer: -2*u*(u + 89)**2*(7*u - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/72 and 133\/12.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8773751524?\nAnswer: 2, 19, 29, 3980831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yoeeyoeoyoefoeooe. Give prob of sequence yeyy.\nAnswer: 3\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.14 (b) 0.1 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18 + 19. Let a = z - -3. Let x be 1\/((-16)\/72)*(-4)\/54*6. Put a, x, -5, 5 in decreasing order.\nAnswer: 5, a, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = 25 - 29 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -2580*f - 10057. Is u(-89) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 96 - 206*o**3 - 8*o**3 + 3*o - 106*o**3 wrt o.\nAnswer: -1920*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.2 - -2. Suppose 3*f + y + 0 = 1, -4*f - 2*y + 2 = 0. Which is the third smallest value? (a) f (b) l (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -45294 by -6.\nAnswer: 7549","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p + p - 3*t - 7, -4*t + 10 = 3*p. Let m(v) = -2*v**p - 7 + v**3 + 0*v + v - 3*v**2. Let o = -13 + 18. Give m(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15.9 - 29.2. Let m = k - -15.3. What is the second smallest value in 3\/8, m, -3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + -1 + 0 + (-7282)\/(-993).\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 930 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 5*m = 16, 3*m = -j - m - 17. Let b be (4\/(-24))\/(1\/22) + 3. What is the nearest to -2\/5 in -2, b, j?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 102 = i, -6*g = -2*i - g + 202. What is the remainder when i is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1689405 and 2010.\nAnswer: 1005","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4275 and 6597750.\nAnswer: 1425","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = 3*w - 8, 15*r + 7*r + 3*w = 15*r - 17 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 11*z**2 - 50*z + 547. Let v be k(-45). Calculate the highest common factor of v and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45133456 a multiple of 254?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q + 3. Let j be z(6). Suppose 0 = 3*o + o + v - 9, 2*o - j = v. Suppose 5 = 3*a - 4*c - 6, -o*a + 5*c + 10 = 0. Let u(w) = w**2 - 5*w. Give u(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = -6*x + 3. List the prime factors of ((332\/x)\/((-2)\/(-4)))\/(-1).\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-646)\/68)\/(0 + (-2)\/4824). Suppose 4*p = 23*p - u. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(175) + 0 + sqrt(7) + sqrt(7) + (sqrt(7) - sqrt(14)\/(sqrt(8)\/sqrt(4))) + 4 + 4*(1 + sqrt(448) + 0)*-1)**2.\nAnswer: 50*sqrt(7) + 4376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.07 + 0.1. Let r = 0.0300008 - k. What is r rounded to 6 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -6*f**2. Let s(l) be the third derivative of l**4\/6 + 15*l**2. Determine m(s(q)).\nAnswer: -96*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 3450*x**2 - 30214*x**2 + 15696*x**2 as y + l*x + z*x**2 and give z.\nAnswer: -11068","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/8)\/(-1) + (-105)\/(-20). Factor -u*g**2 + 0*g**2 + 8*g**2 + 24 + 18*g.\nAnswer: 3*(g + 2)*(g + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 354*g + 1673 = -7531 for g.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 f when three letters picked without replacement from kaoomfmfkmkk.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 + -130 + (-10 - (3 + 3 + -1))?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13695623 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 374 + -71. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 PM and 2:10 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 7) in base 10?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*j**2 - 166*j - 14020563 + 419*j + 14020563.\nAnswer: 2*j**2 + 253*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + 22\/(-4))*(-6 - -8).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (2 + 1) - -2 - 16) + 5.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 20? (a) -397 (b) -69 (c) -1.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*y + 40*y + 5*q = -30, 0 = -y - 3*q + 6. Put 4, 2, 29, y in descending order.\nAnswer: 29, y, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 13) in base 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/4024 and -7\/54.\nAnswer: 108648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 3*d - 1 = 0, 3*d + 15 = 2*w + w. What is the first derivative of -6 - w - 4*n + 4 wrt n?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1818 is divided by 31?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 154 (base 9) to base 2\nAnswer: 10000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/9 in 1.9, -10, -5, 2\/11, 3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.2 - -4.2000001686. Round q to seven dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 199182539 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 7*m**2 - 6*m. Let n(f) = -2*f**2 + 2*f. Let g(o) = h(o) + 3*n(o). Let d(r) be the first derivative of 24*r**3 + 3. What is d(g(a))?\nAnswer: 72*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27424294?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -33*a**6*r - 1866*a**5*r + 3*a**2 + 73*a*r - 96*r wrt a.\nAnswer: -3960*a**3*r - 111960*a**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/t**(-4))\/(t\/(t*t**1)))**(-1\/7)\/((t*t*t\/t**1*t*t**(-2\/21))\/(t\/(t**0*t*t))**(-36)) assuming t is positive.\nAnswer: t**(674\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 3*g)*(1 + 1 - 4) + (72 - 72 + 5*g)*(-2 + 1 - 1 + (1 + 2 - 2)*(-1 + 1 + 1) - 3 - 3 + 4).\nAnswer: -21*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.401 or -525?\nAnswer: -0.401","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6*6\/5112)\/(((-1)\/10)\/(8\/(-20)))?\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Round -0.00007088958 to 5 dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 8*n - 359937. Suppose 5*u + 4*o - 7*o = 66674, -2*o = 3*u - n. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1\/117 + 223\/1287. Let l = 2218\/6039 - 2\/549. Solve 0*c**2 - 6\/11*c + l + u*c**3 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 3 - 6 - -9?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k. Let w(o) = o**2 - 178 - 4*o**2 + 46 - o**2 + 5*o**2. Calculate z(w(t)).\nAnswer: t**2 - 132","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - 1111001?\nAnswer: -1111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15228 + -8102. What is the highest common factor of k and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t**3 + 3*t**2 - 2*t = 0. What is t?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 291 - 181. Let m(l) = -113*l**2 + g*l**2 + 4*l - 4*l. Let f(x) = -2*x + 4*x - 4*x. Determine f(m(t)).\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 108540.\nAnswer: 2, 3, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 2*a + 142, 4*a = -3*y + 57 + 23. Let j = -34 - y. Let q = 88 + j. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3.733 in -5\/6, 5, -2\/7, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -3*v - 2*v. What is the third smallest value in 2, v, -5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -134 divided by -16.\nAnswer: 67\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 74, -4, -318?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of k**5*l + 281182981*k**3*l + 1487*k*l - 4*l + 3033 wrt k?\nAnswer: 20*k**3*l + 1687097886*k*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2. Let j(m) = m**3 + 46*m**2 + 89*m + 46. Let q be j(-44). Let x(z) be the second derivative of 0 + 0*z**q - 23\/6*z**3 - 3*z. What is x(c(g))?\nAnswer: -23*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -2 (b) 2.3423 (c) 133 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10928*v + 32665 = 636*v + 163702 + 296831 for v.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6, 4, 20, 42?\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 + -8.9. Let d be (-9)\/2 + -4*(0 + -1). Suppose -5*g - 7 - 13 = 0. What is the nearest to p in g, d, -2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, 3\/7, -48, -0.4, -1\/8 in ascending order.\nAnswer: -48, -0.4, -1\/8, 2\/9, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((3 + (sqrt(1584) - (3 + sqrt(1584))) - sqrt(1584)) + 5 + (2 + sqrt(1584) - sqrt(1584)) + 5 + -1)**2.\nAnswer: -8525 + 1320*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 divided by -4556.\nAnswer: 8\/1139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-184)\/552*9\/(-7)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15.34 + -16.4. Let c = w - -1.16. What is the second biggest value in 0.5, 4\/5, c, -0.05?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/9 (b) -0.1 (c) -3\/4616000\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -35165843 and 0.05?\nAnswer: 35165843.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - -1 - -9 - 4?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-15)\/(-10)*(-8)\/(-3). Let f(z) = z + 3*z + 2*z - z**3 - d*z**2 - 3*z. What are the prime factors of f(-5)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7477779767 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -9*o + 3 + 38. Let b(a) = a**2 - 6*a - 5. Let h(l) = l**2 - 7*l - 6. What is o*h(c) - 4*b(c)?\nAnswer: -c**2 + 3*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1438325081 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b + 2328 = 19*b. What is the tens digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - 2)\/(1 + -2). Find the third derivative of -3*t**3 - t**2 - t**m + 0*t**2 wrt t.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 9 + 3)*(-9*h**2 + h**2 + 0*h**2)*(3*h**3 - 3*h**3 + h**3).\nAnswer: 64*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 99232 and 272.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 41 = -0*a + j, 0 = -2*a + 4*j + 90. Let r = 34 + a. Let f = r - 43. List the prime factors of f.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v + 2*v**2 - 2*v**2 - v**2 - 2*v.\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 - 11*o**2 + 12*o - 7. What is the units digit of x(10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 10003*f**2. Let b(j) = 50*j. Give b(p(q)).\nAnswer: 500150*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 426*y - 2908 - 5186. Solve -119 + 24 = y*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*r = 17*r + 9*r + 340 for r.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -183863720*d**4 + 3554*d**2 + 11*d - 203?\nAnswer: -4412729280*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5984717 divided by 1.\nAnswer: -5984717","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26195.\nAnswer: 5, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (1*(-2*sqrt(65))\/sqrt(5)*3 - ((sqrt(52) - sqrt(13))*2 - 2*sqrt(325))))**2.\nAnswer: -4*sqrt(13) + 53","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (((-12862)\/120)\/(-59))\/(6\/(-3)) and -53\/345.\nAnswer: 2760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -69.7 times -20.101?\nAnswer: 1401.0397","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, -1, 3, 10083, -4 in ascending order.\nAnswer: -23, -4, -1, 3, 10083","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of 1973*x**6\/6 - 274*x**3\/3 - 562. Find the third derivative of s(f) wrt f.\nAnswer: 118380*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*d = -18*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 13 = 5*b. Let f = b + 14. Let u = 51 + -6. What is the highest common factor of f and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 513696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the second derivative of 7*l**6\/120 + l**5\/40 - 7*l**4\/48 - l**3\/12 - 3*l. Factor w(m).\nAnswer: m*(m - 1)*(m + 1)*(7*m + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 AM and 12:12 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 - 8*u - 1 - 3*u**2 + 3*u**2 + 0*u**2. Calculate x(6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -429405837 or -429405838?\nAnswer: -429405837","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 600*m*q**3 + 10426*m + 487*q**3 - 19*q**2 wrt q.\nAnswer: 3600*m + 2922","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*p**4 + 688*p**3 - 10448*p**2 - 1388032*p - 2728704 = 0. Calculate p.\nAnswer: -34, -2, 76, 132","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53014 (base 6) to base 10.\nAnswer: 7138","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 PM and 6:19 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1*(-8)\/(-16))\/((-1)\/4). Solve 4*f + r = 2 + l, 0 = -5*f - 5*r - 10 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 5*q - 36. Suppose 34 = 2*r - 2*n + q*n, 69 = 5*r + n. Let x = r - 5. What is the lowest common multiple of x and 5?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12847117.6 rounded to the nearest 100000?\nAnswer: 12800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 4*q**5\/5 - 29608*q**4\/5 - 742912*q**3\/5 + 1574632*q**2\/5 - 802116*q\/5 = 0?\nAnswer: -27, 0, 1, 7427","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -5840660 (base 10) to base 5\nAnswer: -2443400120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (5*5*(-1 + sqrt(1100)) - (0 + 2*sqrt(1331) + 1)))**2.\nAnswer: -11400*sqrt(11) + 572449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3\/190 - -79\/190. What is the second smallest value in s, 14, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 2.01. Let q = i - -0.39. Let m be (4\/(-6))\/((-1)\/6). What is the nearest to 0 in 3, m, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ovihiiiiifiiffhhfii. Give prob of sequence oi.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 - 47*c**2 - 92*c + 112. Let t be k(50). Is 3012 > t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2959*j**3 + 4*j**2 - 55*j + 105. Is d(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -492171 (base 10) to base 13.\nAnswer: -143034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 173713 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, w: 7}. Give prob of picking 1 m and 1 w.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together 259946749291 and 5.1.\nAnswer: 259946749296.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - 2. Let s = 9 + p. Let i be (-3)\/(-9) - (-15)\/(-36). Which is the nearest to 1\/4? (a) -0.3 (b) s (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j - 3*j + 6*j)*(-3 - 3*j**3 + 3 + (j - 3*j + 3*j)*(2*j**2 + 3*j**2 - 4*j**2) + 412*j**3 - 232*j**3 + 138*j**3).\nAnswer: 1896*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 k when three letters picked without replacement from kkikffkiiiykffkkff?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of -17*y**4\/24 - y**3\/6 - 2*y**2 + 44. Give g(-1).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1948 divided by -12?\nAnswer: 487\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p + 33 = -3*p. Which is bigger: p or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(240)\/(sqrt(36)\/sqrt(3)))\/sqrt(10).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 11 + (-10 - -4 - (0 + -3))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/2 - -7) + 6 + -15.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = 4*g - 5 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of -2*v**7\/7 + 3*v**6\/2 + 43*v**3\/3 + v**2\/2 + 1. Find the third derivative of g(h) wrt h.\nAnswer: -240*h**3 + 540*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-5)\/2 + 2 + (-1740)\/252.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 2*d - 2. Let m be v(-2). What is the nearest to m in -4\/3, -2, 2\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of d**7\/840 - d**6\/60 + d**5\/120 + 7*d**4\/24 - 3*d**3\/2 + 7*d. Let n(r) be the second derivative of l(r). Give n(5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 27555.2 to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/x**3))\/x)**(-23)\/(x*x\/(x\/((x*(x**(-2\/19)\/x)\/x)\/x)))**(2\/5) assuming x is positive.\nAnswer: x**(-4328\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2 - 10*q - 1. Let i be u(-10). Does 41 divide 863\/3 + ((-20)\/12 - i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -609, 3, -4, 2, 0 in increasing order.\nAnswer: -609, -4, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -111 + -8?\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, -2, -5, 9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 - 3*b - 3. Let w be 4\/(2\/((-6)\/(-3))). Let q be f(w). Let h(o) = 5*o**3 + o**2 - o. What are the prime factors of h(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4159556*k - 69*k**3 + 4159556*k.\nAnswer: -69*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -48*b - 834. Let d be f(-16). Let j(u) = u**2 + u + 1. Let v(s) = -33*s**3 - 66*s**2 - 66*s - 66. Determine d*j(a) - v(a).\nAnswer: 33*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 816 and 3041589.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 12*m - 4. Let d(s) = -s - 2. Let f(k) = 3*d(k) + h(k). What is the remainder when 87 is divided by f(6)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36\/132 - 54\/(-528)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*w**3 - 11*w**3 + 11*w**3.\nAnswer: 24*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3421826500?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 9\/426*1436\/(-12). Let o = j + 2\/71. Sort o, 0.5, -0.5 in ascending order.\nAnswer: o, -0.5, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 + 14*f + 51. Let i be s(-7). Solve 8 = i*u + 4 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, 96, 2, -139, 106?\nAnswer: 96","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 - 15*r**2 - 16*r + 6. What is the remainder when (18\/(-8))\/(0 + 21\/(-616)) is divided by n(-14)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 35613 and 135?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 111\/(6327\/38)*(9\/66)\/(-1).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 3*x + 9, 0 = -o + x + 1 + 2. Suppose -3*w + 6*w = 5*d + 76, -5*w - 4*d + 139 = 0. Solve o = -2*l + 3*l - 3*v + 13, -w = 3*l - 5*v for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -3*w + 2. Let x be u(-3). Let c = -85 - -86. Let n be 10\/(-15)*-132 - (c - 1). Calculate the greatest common divisor of x and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27991, -55983, -83975, -111967?\nAnswer: -139959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(((sqrt(637) + -2 - sqrt(637))*4 - sqrt(637))*2 - (-5*((sqrt(637) - (sqrt(637) + 0)) + sqrt(637) - sqrt(637)) + -2)))**2.\nAnswer: 9800*sqrt(13) + 68600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 9 = -2*j. Let g = j - -20. What are the prime factors of g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20.6 + -80.8. What is f rounded to the nearest ten?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 20a1 - -3?\nAnswer: 20a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 705 - 3527\/5. Let b(g) = -g - 8. Let d be b(-4). What is the closest to p in d, 0.4, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -m**4\/4 - 17*m**3\/2 + 87*m**2\/4 + 126*m - 324 = 0. Calculate m.\nAnswer: -36, -4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 801838?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 - 0)\/(7 - -4). Let q = 1.2 - 0.2. Which is smaller: f or q?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 540530094?\nAnswer: 2, 3, 13, 211, 32843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, -5\/2, -592, 3\/2 in increasing order.\nAnswer: -592, -5\/2, 1\/2, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.06881 + -0.0739175. What is p rounded to 5 decimal places?\nAnswer: -0.00511","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 173386?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.340235 millennia in years?\nAnswer: 340.235","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 - 3*z**2 + 6. Let t be (-85)\/90*3 - 5\/30. Let v(j) = j. Let l(q) = q**2 + 3*q - 3. Let n(h) = -2*l(h) + 6*v(h). Determine t*n(f) + 2*w(f).\nAnswer: 2*f**3 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 225 = 290*l - 520 - 415 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -936.2 to the nearest 100.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (27\/(-9))\/(1 - 0). Let x be t + ((-2620)\/(-5))\/4. Is (x - -2) + -4 + 3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -114, -135, -162, -195?\nAnswer: -234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -0.4, -0.05, -0.09, -8?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2098, -9152, -20868, -37240, -58262, -83928, -114232?\n\"Answer: i**3 - 2337*i**2 - 50*i + 288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2234*j**3*p**2 - 6*j**3*p*v + 2*j**2*p**2*v + 2*j**2*p - 1875*p**2*v wrt j.\nAnswer: 13404*p**2 - 36*p*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 852 = 5*j + 2*a, 0 = 2*j - a - 434. Suppose 5*q - j = 4*z + 418, -5*q + 3*z + 636 = 0. Suppose -9 = 4*p - q. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 22*c - 1. Let a(m) = 2278475*m - 2. What is q(a(b))?\nAnswer: 50126450*b - 45","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1241763 + -7.\nAnswer: -1241770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 96?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*s**2 + 1\/2*s**4 - 29\/2*s**3 + 166*s + 232.\nAnswer: (s - 29)*(s - 4)*(s + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 2 + 6*z - 5 + 3. Let w(p) = 2*p**2. Give x(w(s)).\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 41*b*d*q - 357*b*q - 3*d*q - 50281*q + 1 wrt b.\nAnswer: 41*d*q - 357*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tq when two letters picked without replacement from qzzzzttqtttqqttt.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0014374 to 5 dps.\nAnswer: 0.00144","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.079 + -1.\nAnswer: -1.079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 3)*(1 + 2 - 1)*(4*t + 16*t - 7*t) + 5*t - 4*t - 5*t.\nAnswer: -56*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1105, 1946, 2787, 3628, 4469, 5310?\nAnswer: 6151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*p**2 + 34*p**2 - 66*p**2.\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y = 18785269 + 15774731. What is y rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1728151, -1728152, -1728153?\n\"Answer: -g - 1728150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**4 - 239*t**3 - 1003*t**2 - 1252*t - 507. Let m(s) = -4*s**4 + 716*s**3 + 3004*s**2 + 3756*s + 1520. Let y(l) = 3*m(l) + 8*n(l). Factor y(d).\nAnswer: -4*(d - 63)*(d + 1)**2*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h + h**2 + h)*(99*h**2 - 186595 + 14*h + 186595).\nAnswer: 99*h**4 + 14*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -44714209 and -4?\nAnswer: 178856836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3\/5)\/(-14 + 361\/38). Let v = -0.6 - -0.2. Let u = -22.8 - -19.8. What is the closest to -10 in s, u, v?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, 13, -4, 3 in decreasing order.\nAnswer: 13, 3, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/2184 and -131\/150696.\nAnswer: 150696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8701 - 6526. Calculate the greatest common divisor of 5 and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -43825*p**3 + 31921*p**2?\nAnswer: -262950","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + (-4)\/(-2) + 56. Let 21*d**3 - 3 + 27*d - 12*d**2 - 7*d**5 - v*d**2 - 18*d**4 - 41*d**5 + 90*d**4 = 0. Calculate d.\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 - 12*i**2 - 9*i + 1. List the prime factors of l(-12).\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 241, 2237, 7755, 18571, 36461, 63201, 100567?\n\"Answer: 296*y**3 - 15*y**2 - 31*y - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 449 to the power of 1\/2, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -240*i**2 + 42035456*i**3 + 240*i**2.\nAnswer: 42035456*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the second derivative of 15*w**5\/4 + 65*w**4\/2 + 64*w**3 + 48*w**2 + 42*w. Factor l(s).\nAnswer: 3*(s + 4)*(5*s + 2)*(5*s + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 35883 and 333579?\nAnswer: 1329","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -450 (b) 1\/2 (c) -0.048 (d) -0.3 (e) -0.2 (f) 6\/11 (g) -22\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vnvvnnnn. Give prob of picking 1 v and 1 n.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1781737.6 * 4.\nAnswer: -7126950.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 227*o - 120 = 224*o. What is the remainder when o is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(100))\/(6*sqrt(8))*-3)**2.\nAnswer: 25\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*k + 0*k - 2*k**3 + 0*k - 7*k**2 - 2*k - 1 in the form i*k**2 + o*k + d*k**3 + j and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80) + 1 + 2*(sqrt(60)\/sqrt(3))**2)*6.\nAnswer: 24*sqrt(5) + 246","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 6*k + 8 = 0. Suppose -2*g + 3*g = -k. List the prime factors of -2 - -2 - g - -5.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.11 and 0.0036.\nAnswer: -0.1064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-96)\/336 + (19\/(-7) - 0). Let w be (-66)\/(-15) + d\/(-5). Solve w*z + 5 = -0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 0 - (-1 - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of -s**9\/72 - s**5\/20 + 4*s**2. What is the third derivative of g(d) wrt d?\nAnswer: -840*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -0*h - 552. Let i = -367 + h. Suppose 4*w + w = i. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2 + 5*p - 6. Let d be u(5). Let l be ((-12)\/18)\/((-4)\/d). Which is smaller: l or -1\/24?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - 2b81?\nAnswer: -2b80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from feeeeesukre. Give prob of sequence ue.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = i - 6. Suppose -5*w + 2*v = -8, 0*w - w = i*v + 8. Let b(j) = j - 1. What is b(w)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180) + sqrt(180)*-2)*6 - sqrt(180) - (-4 + 1 + sqrt(180) + sqrt(180) + sqrt(180)))**2.\nAnswer: -360*sqrt(5) + 18009","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 + -1)*-4 + 0. Let o(x) = 37*x + 3. Let l be o(d). Suppose 416 = 5*f + l. What is the remainder when f is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = -5*x - 5*n + 70, -n = 2. Calculate the remainder when 47 is divided by x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 - -9. Suppose 2*r + z - 11 = 2*x, 0 = 4*x + r. Let t = 2 - x. Solve -t*p = -2*p + 4, 5*a + p = -9 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*z - 30*z = -30 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, 2, -1\/38, -5, -2, 1.64 in decreasing order.\nAnswer: 2, 1.64, -1\/38, -1\/6, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 146833094 to the nearest integer?\nAnswer: 528","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -239, -256, -285, -332, -403, -504?\n\"Answer: -w**3 - 10*w - 228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -23? (a) 2\/39 (b) 13 (c) -26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/(sqrt(27)\/sqrt(3)) - (0 + sqrt(6)\/sqrt(3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 3 - 10)*((6 - 4 - 4)*(3*l + 3*l + 0*l) + l + 3*l - 3*l) to the form r + x*l and give x.\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1104*b*c**3 - 4*b*c - 51*b + 9*c**3 - 2*c**2 - 4*c wrt c?\nAnswer: 6624*b + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, 916.3, 40.\nAnswer: 2, 5, 40, 916.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2266*q**2 + 1583*q**2 + 1771*q**2.\nAnswer: 5620*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -8*l - 82. Let n(t) = -20*t + 34. Let w(h) = 7*h - 12. Let s(o) = l*n(o) - 17*w(o). Give s(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of 108*x**4 + 75*x**2\/2 + 479. What is the second derivative of j(c) wrt c?\nAnswer: 2592*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -23, 34, 10, -5, -8, 2 in decreasing order.\nAnswer: 34, 10, 2, -5, -8, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand k**3 + 2*k**3 - 5*k**3 + 4*k**2 - 4*k**2 - 2*k**3 + (3 + 0 - 2)*(3*k**3 - 3*k**2 + 3*k**2).\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 126497808?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 622373360?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1.15727 and -366996.1.\nAnswer: -366994.94273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 - 6 = 3*a - f, f = -a - 1. Suppose g - a*g + 4*u = -36, 0 = 3*g - 4*u - 62. Solve 16 = n + 4*n + 3*o, -2*o = -4*n + g for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*n - 15*n = -60 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 132493 = 2*u, 164*p - 162*p - 3*u - 52995 = 0. Is 33 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven tenths of a litre?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 + -74 + 64 + (25 - -4)?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-5\/4)\/q**(-6))\/((q\/q**(-1\/2))\/(((q\/(q*q*q*(q*q\/q**2*q)\/q*q*q*q)*q*q*q)\/q)\/q)) assuming q is positive.\nAnswer: q**(-3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7740.\nAnswer: 2, 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (141 + 49*b - 141)*(6*b - 2889 + 2692 - 5*b) in the form l*b**2 + i*b + j and give l.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 9:16 AM?\nAnswer: 2:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 1 = 3. Solve -4*g - 14 = -2*n, 2*n + 5*g + 12 = -x for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(5\/8))\/i*(i**(-11\/2)*i)\/i)\/(i\/((i\/(i\/i**6)*i)\/i*i)*i*i**(-10)) assuming i is positive.\nAnswer: i**(71\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 310210 (base 4) to base 12.\nAnswer: 1b44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-12))**(-37) assuming o is positive.\nAnswer: o**444","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-7) + (-320)\/(-1218))\/((-6385)\/(-19155))?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(10)*3)\/sqrt(5) + sqrt(1176)\/sqrt(12))**2.\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p - 3*p + 3*p)*(0 - 2 + 0) - 3*p + 4*p + 0*p + (-2*p - p + 5*p)*(2 + 3 - 4).\nAnswer: 5*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2020 + -31520. Round c to the nearest one thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/(h*h**(-2\/33)))\/h**(-1\/6))\/(h**(-7)*h**(-1\/3)) assuming h is positive.\nAnswer: h**(565\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 10*u**2 - 5*u**2 - 14 - 17*u - 3*u**2. Let p be d(14). Suppose -18*i - p = -22*i. What are the prime factors of i?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**2 - 6*c - 5. Suppose -12 = 2*i - 4*t, t = 4*i - 6*i - 7. What is the units digit of y(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2064 - -3031. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 325 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - -1) + -3 - (5 - 7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 99943 + -42571. Let k = z + -2581622\/45. Let t = k + -20\/9. What is the closest to t in -3\/4, 0.2, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111110 + -100100101011100100?\nAnswer: -100100101010100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -2*t**2\/11 + 17364*t\/11 + 208656\/11 = 0.\nAnswer: -12, 8694","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 352 by -44.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 a when two letters picked without replacement from {d: 1, x: 1, m: 2, k: 2, a: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b (base 13) to base 3.\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 16*j - 496. Calculate f(23).\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 68827747633 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/2, 2\/3, 1.2, -43, 7 in decreasing order.\nAnswer: 7, 1.2, 2\/3, -3\/2, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c\/c**1)**(25\/4))**(1\/6))**1 assuming c is positive.\nAnswer: c**(25\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 179.134 + -179. Let j = i + 0.866. What is the third smallest value in -181, 0.1, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 24608415?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) 1 (b) -0.4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15 - (-10 + 10)) + 2 + (4 - 1).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104799.\nAnswer: 3, 181, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23 + -23.018. Round b to 2 decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**0)**2)**17 assuming p is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w**5 + 3*w**2 - 3*w**2 + (3*w**3 - 3*w + 3*w)*(124*w**2 + 9384*w - 9384*w) + 5*w**5 - w**5 - 2*w**5 + (w**4 + 2*w - 2*w)*(0*w + 3*w - 2*w).\nAnswer: 374*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2643 - -4537. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/sqrt(12) + sqrt(8) + sqrt(8))\/(sqrt(4) + sqrt(4) + sqrt(576)*-1).\nAnswer: -sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1037451.\nAnswer: 3, 345817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (24 - 2915\/121)\/(((-18)\/11)\/3)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 + 7. Let z = -2 - w. Let t = -129\/4 - -32. Sort t, 0.2, z.\nAnswer: t, 0.2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9135)\/(-126)*(-2)\/5.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 + 212\/8)*2*2. What are the prime factors of (15\/20)\/((-6)\/(-4))*f?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(612)*1*6 + (sqrt(612) + sqrt(612) + 1 + 2 + sqrt(612))**2 - (-5 + ((sqrt(612)*-3 - sqrt(612)) + sqrt(612) + sqrt(17) - (1 + sqrt(17) + -2)))**2.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -9701186, -9701134, -9701082, -9701030, -9700978, -9700926?\n\"Answer: 52*h - 9701238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1533 - 2629. Let h be -2 - 24\/(-14) - c\/14. Suppose 10*u + h = 16*u. Solve -u = -5*k - 3 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 604\/3? (a) -1\/8 (b) 0 (c) -3 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 8 (b) 1\/5 (c) -2.8 (d) 0.1 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g + g + 0*g)*(-5*g + 4*g - g) + 4*g - 133*g**2 + 10*g**2 - 4*g.\nAnswer: -119*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 1300 + 1220 = -15*a, -3*a + 4 = -2*v - 3 + 3 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.01, 1, 5\/3, -25\/4, -8?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -6*w - 10. Let b(h) = 3*h + 1. Calculate 3*b(y) + o(y).\nAnswer: 3*y - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1))**36*m**(-1)*m*m*m**5\/m)**(-47) assuming m is positive.\nAnswer: m**1457","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-35)\/14 + 2 + (-18)\/(-20)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l + 32*l - 69 = 0. Suppose l*w = -2*f + 52618, 5*f = -0*w - 2*w + 131545. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**2 - 51695*i - 155040.\nAnswer: -5*(i + 3)*(i + 10336)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + 10)\/(-72)*4\/2.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8\/(-9) + (-4)\/(-18). Let o = 1 + 0. Let l be 2\/72 - (-2)\/(-8). Which is the second biggest value? (a) t (b) l (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = m + 9, -m = 3*o - 7 - 4. Suppose 0 = 24*j - 8*j - 192. Suppose r - 2 = -k - j, -4*r = -o*k. Put k, 0, 2 in descending order.\nAnswer: 2, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 216228 and 344796.\nAnswer: 5844","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -316212 (base 7) to base 9\nAnswer: -83376","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.9 in -0.4, -0.1, 0, -1\/8, 302\/123?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 38*c**3*o**2*y**3 + 97*c**3*o**2 - c**3*o - c**2*o*y**2 + c*y**2 + 10*o**2*y**3 wrt y.\nAnswer: 228*c**3*o**2 + 60*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 625314.\nAnswer: 2, 3, 89, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 11 = 5*f, 4*i = f - 0*i - 9 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the third derivative of -t - 29\/6*t**3 + 0 - t**2 - 1\/24*t**4. Determine c(-20).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7776 and 64?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 40.1 + -40.1. Which is greater: b or -94?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3047119 + -19\nAnswer: 3047100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -42289 by -45.\nAnswer: 42289\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1774527*j - 4*m + 54 = -1774528*j, j + 53 = 5*m for j.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 87525*c**3 + 10425?\nAnswer: 262575*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12.1 - -27.1. Let s = -15.00000144 + g. What is s rounded to 6 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13346, -13349, -13354, -13361, -13370, -13381?\nAnswer: -13394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence razk when four letters picked without replacement from {k: 2, z: 1, c: 1, a: 1, m: 2, r: 1}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -24*a**2 + 4*a + 3. Let o be d(-1). Let p = 27 + o. Suppose -6*z = -z - 20. Calculate the remainder when z is divided by p.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 86 divided by -6.\nAnswer: -43\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -109 + 11*b + 70 + 39.\nAnswer: 11*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 10:40 AM?\nAnswer: 6:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -2*f**2. Let c(m) be the first derivative of -m**4\/12 + 11*m**3\/2 - 123*m**2 + 3. Let i(w) be the second derivative of c(w). Calculate h(i(y)).\nAnswer: -8*y**2 + 264*y - 2178","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 - -8.03. Let k = o - -0.97. Let u = 1 - k. Is 0.1 greater than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of (-1 - 2*-1) + 28 + 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of (32\/28 + -2)*-14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 6*a - 5*x + 1526, 2*a = 3*x + 1049. List the prime factors of a.\nAnswer: 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18270?\nAnswer: 2, 3, 5, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7594146.\nAnswer: 2, 3, 7, 60271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x + 11. Let i(r) = -3*r - 23. Let m(o) = -2*i(o) - 5*w(o). Let q be m(11). Solve -q*j = -3*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -386\/121 bigger than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3*w + 0)*(63*w - 6664 + 6664) + (-9*w - 2*w + 10*w)*(8*w + 3*w - 3*w).\nAnswer: -197*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 291 and 9057.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 703\/9 - 78. Is g smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 + 7*o**2 - 4*o - 8. Let z be d(6). Calculate the lowest common multiple of (126\/(-27))\/(z\/(-6)) and 11.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 846152?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0*(-4 - -3))\/(-1) - -81. Let n = -79 + l. Let f(q) = -3*q**2 + 2*q + 1. Calculate f(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*x = -2100 - 3228. Let j = -414 - x. Calculate the least common multiple of j and 84.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -303089251350 and -0.1?\nAnswer: 303089251349.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -3*a**3 - 56*a**2 + 65*a - 250. Determine s(-20).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 23 + 27 = 0. Let y be 19\/(-3) - (-6)\/(-9). Let d be y\/(-147)*(-1 - i). What is the smallest value in -2, 0.1, d?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 97*d**2 - 18*d**3 + 11*d**3 + 5*d**3 + d to the form w + l*d + v*d**2 + i*d**3 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.05726 + -3.94274. Let u = -8 + 5. Put 1, u, i, 1\/11 in increasing order.\nAnswer: i, u, 1\/11, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12150*-0.1474\nAnswer: -1790.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-31 - -30)\/(-1 + 2)*0. Let f(x) = -x**2. Give f(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(7)*1 + -4)**2.\nAnswer: -6*sqrt(7) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 120720635?\nAnswer: 5, 7, 103, 33487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2*i - 37. Let o be x(17). What is the closest to -1\/3 in o, 2\/5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*b + 4*b + 0*b)*(25293*b + 4813*b - 4724 + 4724 - 8761*b) to y + q*b + g*b**2 and give g.\nAnswer: 21345","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 + 9*k**2 + 2*k - 13. Let x = 28 - 19. Let f be g(x). Suppose 1 = 3*c - f. Calculate the greatest common factor of 6 and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 14 = 2*a + 2*d, a + 1 = -d. Let v = -8 + 29. Let b be (-96)\/(-21) - v\/(-49). Solve 10 = a*h - b for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 20624*c + 1136. Let t(k) = -2*k. Give t(w(z)).\nAnswer: -41248*z - 2272","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*c - 14*c - 124*c**3 - 9*c + 116*c**3 - 11*c.\nAnswer: -8*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/8*(-4)\/6)\/(99*129\/868428).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -3*n**2 - 1054 + 4*n + 1059 + 2*n**2. Let v be p(4). What is the highest common factor of 55 and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of 0*w - 7 + 0*w**2 + 2\/3*w**3. Let r(g) = -9*g. What is f(r(n))?\nAnswer: 162*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -22, -4, -18497?\nAnswer: -18497","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - (12 - (-7 - -14))) + 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (6 + -8) - (-297 - -418).\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gqqqgnqgqggngqgqgq. Give prob of picking 2 q.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: d0d5ac (base 14) to base 12\nAnswer: 242b518","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -35025797*h**3 - 33975781*h.\nAnswer: -210154782*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38 + 16349*i**2 + 28 - 16346*i**2.\nAnswer: 3*i**2 + 66","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (3*(-20)\/(-90))\/(69\/(-414))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l**2 - 151 + 7*l**2 - 7*l**2 + 108 + 43 - 2*l**2.\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the third derivative of 0 + 0*z**4 - 1\/210*z**7 - 2*z**2 + 8*z + 1\/24*z**6 + 0*z**5 - 20\/3*z**3. Differentiate w(d) wrt d.\nAnswer: -4*d**3 + 15*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/(sqrt(22)\/(sqrt(6)\/sqrt(3) + sqrt(2)) - sqrt(11))*5 + -3*sqrt(8)\/(-1*sqrt(400)) + 4.\nAnswer: -97*sqrt(2)\/10 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 258\/8*21\/162 - 0. Let f = 37\/8 - i. Find b such that -2\/9*b**3 + 0 - 2\/3*b**4 + f*b + 2\/3*b**2 - 2\/9*b**5 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 97231\nAnswer: -1\/97231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -673629, -1347265, -2020899, -2694537, -3368185, -4041849, -4715535, -5389249?\nAnswer: -6062997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1032628 and 52.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 472495071 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 372, 1615, 3698, 6627, 10408, 15047, 20550?\n\"Answer: w**3 + 414*w**2 - 6*w - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.745 + -0.045. What is the third smallest value in 1\/3, -1\/8, 1\/2, s?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 3:28 PM?\nAnswer: 3:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 393069055?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -19*l**2 + 894*l - 843. Determine z(46).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 587, 590, 595, 602, 611?\n\"Answer: f**2 + 586","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, w: 1, q: 1, r: 1, i: 1, j: 1}. Give prob of picking 1 q and 1 j.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 5*o - 3*d, -67*d = -2*o - 65*d + 18. Calculate the smallest common multiple of 34 and o.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -331 + 615. Suppose -3*b + i = o, 1080 = -5*o + 9*o - 2*b. What is the highest common divisor of o and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = -3*h - 28. Let s(q) = -q**3 - 5*q**2 + 6*q + 1. Let a be s(-6). Let d = a - h. Does 16 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + 2)\/((-2)\/(-12)*3)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*n - 164 wrt n.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 2 = -3. Suppose -19 + 49 = r*w. Suppose a - 44 = -w. What is the remainder when a is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 86.99451ml?\nAnswer: 0.08699451","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1092 - -1143. What is the remainder when 101 is divided by y?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (7 + (3 - 7) + -2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(200) - sqrt(200)*-2) + sqrt(200))*1)\/(-5*sqrt(256)*-3))**2.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 divided by -6271.\nAnswer: -24\/6271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15835?\nAnswer: 5, 3167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + (-462)\/(-26) + (55 - (49 - -6)).\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -3*m**2 - 7*m + 1. Let b be v(-2). What is the remainder when -267*((-3)\/b - 0) is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 116 - -136. What is the highest common divisor of d and 189?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -148*y**3 - 30*y**2 - 30*y - 3. Give f(-1).\nAnswer: 145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -30*t - 490. Let r be f(-20). Let v(u) = u**3 - 8*u**2 + 9*u + 8. Let w be v(7). What is the greatest common divisor of r and w?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2505?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yt when two letters picked without replacement from ytyty.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 114 - 118. Let q(s) be the second derivative of s**5\/20 + s**4\/6 - 7*s**3\/6 - 5*s**2\/2 - s. Calculate q(i).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.57 + 1.\nAnswer: 1.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 648879 at most -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 228 and 342?\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6551 = 742*n + 16026 + 6916 + 5869 for n.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -l + 228 + 62, -2*l = -5*t - 580. Suppose -3*a - 3*q = -64 - l, 5*a - 578 = -q. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*z + 721 - 385 = 12*z. Let b(r) = r + 16. Let s be b(-8). What is the highest common factor of s and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 38095920 and 1080?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.41 - -0.31. Let y be (28\/35)\/((-2)\/(-5)). Let r = 101 - 605\/6. Which is the closest to r? (a) g (b) y (c) 6\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 56175725\/2?\nAnswer: 56175725\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**4 + 1696*a**3 + 5064*a**2 + 5056*a + 1684.\nAnswer: 4*(a + 1)**3*(a + 421)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 235636 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 3*v = -7780, 6192 = 4*a + 2*v - 32. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.305 + -0.108864?\nAnswer: -0.413864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(475) + -1*sqrt(475))**2 + 3 - (1 + sqrt(475) + -2)**2) + -5 + ((2 + sqrt(475))*-5)**2.\nAnswer: 510*sqrt(19) + 11497","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1368)\/18 + 67 - ((-352)\/39 - 0)?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 672 = 11*c - 4*c. Let h = 190 - c. Let j = 26 + h. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (76353\/(-2821) + 27)*(5 + 2).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -4*u**2 - 354*u + 79. Let n(k) = 2*k**2 - k - 16. Calculate -b(t) - 5*n(t).\nAnswer: -6*t**2 + 359*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2045131 millilitres to litres.\nAnswer: 0.0002045131","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92\/3*u - 4\/3*u**5 - 88\/3*u**3 + 40\/3*u**4 + 16\/3*u**2 - 56\/3 = 0.\nAnswer: -1, 1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/((v*v*v\/(v*v\/((v\/v**7)\/v))*v*v)\/v))\/(v**0\/v))\/(v\/((v*v**(1\/4))\/v))**26 assuming v is positive.\nAnswer: v**(-25\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 + 6*n**2 + 10*n - 13. Let g be x(7). Let h = g - 3. Solve v - j + 1 - 3 = 0, -25 = h*v + 2*j for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -25.3 - -24.9. What is the smallest value in d, -4\/7, -2\/7, 3\/40?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 2*n + 11. Let b be u(-5). What is the third biggest value in b, 4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 3) in base 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -25 - 11*q**4 - 2*q**3 + 8 - q + 16 + 2*q**4 + 3*q**2 in the form r*q**4 + i + o*q**3 + n*q**2 + a*q and give r.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, -183, 52.\nAnswer: -183, -5, -1, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of 5*m**8\/1008 - 2*m**7\/63 - 23*m**6\/72 + m**5\/18 + 95*m**4\/18 + 140*m**3\/9 - 898*m**2. Determine n, given that u(n) = 0.\nAnswer: -2, -1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 3*s - 49 = -s, -4*f + 67 = 5*s. Let j = f - 10. Calculate the common denominator of 47\/15 and j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 3*n + 33, 4*p + 0*n + 62 = 2*n. Let g be (-8)\/p*1\/(-4). Let z = -206 - -1026\/5. Sort z, -0.1, g in increasing order.\nAnswer: z, g, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3018 (base 14) to base 4\nAnswer: -2000332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/5 smaller than 15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1445046 (base 10) to base 8\nAnswer: -5406266","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 5:20 AM?\nAnswer: 10:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 19, t: 1}. What is prob of sequence twww?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22111012001 - 1022?\nAnswer: -22111020100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let m = -512398724 - -31771040431\/62. Let p = m + -37413. Calculate the common denominator of p and 79\/20.\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2444000 rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18 + 22. Suppose -3*s = -3*t - b*s + 1, -t - 8 = 2*s. Suppose t*p = 3*q - 183 + 23, -p = 3*q - 163. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h + 13. Let q be k(-15). Is (-1 + q)*(-169 + 2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 27, 65, 129, 219?\n\"Answer: 13*m**2 - m + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 46*f + 5. Let n = -14 + 19. Is v(n) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 1:06 PM?\nAnswer: 8:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tztz when four letters picked without replacement from {t: 8, z: 5, w: 5}?\nAnswer: 7\/459","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -42*w - 5. Let u(z) = 115*z + 16. Calculate 4*u(f) + 11*y(f).\nAnswer: -2*f + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of -h**4\/12 - 7*h**3\/6 - 5*h**2 - 5*h. Calculate v(-8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -882 divided by 294.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8158759 - 8158732.899546. Let o = m - 26.1. Round o to 5 dps.\nAnswer: 0.00045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, 1, 5, 15, -1, 51 in decreasing order.\nAnswer: 51, 15, 5, 1, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -185 - -1115\/6. Let v(x) = -x**2 + 45*x - 502. Let c be v(24). Which is bigger: c or u?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-12)*h*h**(1\/16))\/(h**(-5)\/h)**(-29))**(3\/22) assuming h is positive.\nAnswer: h**(-807\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 22 = -3*b, -15 - 12 = -3*b - 3*q. Suppose -b*z - 118 = -6*z. Is 10 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50189483 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 33669.936 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 > 418\/379?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of 3*f**3 - 2*f**2 + 5*f. Let g be j(-10). Let z be g\/(-48) - (-1)\/6. Is 0.1 at most z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 8 - 19*p - 10*p + 3*p - 47. Let y be b(-9). Let h be (y\/(-130))\/((2\/(-4))\/1). Solve 0 = h*r + 2*i + 12, 3*r - 2*i + 0*i = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 30*k**2 + 3*k. Let c be f(4). Let i = -9411 - -9423. Calculate the greatest common divisor of c and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/8041 and 71\/2607477.\nAnswer: 28682247","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*k - 32*k + 10 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.074 - 7.626. What is b rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 divided by 30331951\nAnswer: -1\/2333227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -169, -666, -1493, -2650?\nAnswer: -4137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2280855055?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the first derivative of c**6\/120 - 11*c**5\/30 - 5*c**4\/8 + 4*c**3\/3 + c**2 - 68. Let z(v) be the third derivative of w(v). Let z(d) = 0. What is d?\nAnswer: -1\/3, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4304499.9 - -4304465.9000063. Let l = -61 + 27. Let q = l - k. What is q rounded to six dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -920 - -1952. Let o = -789 + u. Calculate the highest common divisor of 135 and o.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 2*z. Let g(v) be the second derivative of v**5\/15 + v**2 + 2*v. Let m(a) be the first derivative of g(a). Calculate f(m(h)).\nAnswer: 8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 10241301 (base 9) to base 7\nAnswer: 56614114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -44 - -118?\nAnswer: a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 3 = m, 4*x + 1 = 2*m + 3. Suppose -3*i - 18 = -5*q, 0*i - 4 = -q + i. Let z = q + x. Which is the closest to 1? (a) z (b) 0.5 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-12)\/6*10\/(-4). Differentiate 2 - 6*d - 5 + m*d + 2 wrt d.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -3*m + 3. Let y(z) = -13*z + 11. Let k(x) = 9*f(x) - 2*y(x). Let c be k(5). Suppose 2*i + 198 - 728 = c. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -190 + 212. Suppose -12*n + c*n = 39030. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 819 divided by 4?\nAnswer: 819\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 9\/7 + 22\/(-77). Let s be ((-3 + f)\/(-10))\/((-4)\/8). Let i(h) = -4*h. Let u be i(1). Which is greater: u or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 - (5 + -2 + 0 - (-181 - -181))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 10650?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, s: 13}. Give prob of sequence ts.\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + h - 3 + (0 - 1 + 3)*(-3*h + 0*h + 4*h))*(1 + 4 - 3) + (1 + 9 + 7)*(-h + 5*h - 3*h).\nAnswer: 23*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 48? (a) -0.4 (b) 6 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.1 + 0.1. Let x = 1.31 + 0.69. What is the closest to x in -0.2, -1, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.665064 and -0.1?\nAnswer: -0.1665064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1475719 a multiple of 122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((((sqrt(140) - -2*sqrt(140))*-6)\/(sqrt(7) - (sqrt(7) - (sqrt(112)*1 - sqrt(112))) - sqrt(7)))\/(2*sqrt(160)*3*-4) + -1)**2.\nAnswer: 3*sqrt(2)\/8 + 521\/128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a litre in millilitres?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o - 4*o + 2*o + o.\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -45348 - -45347.83888. What is o rounded to 2 dps?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 + 4.506?\nAnswer: 4.006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.0457 + 0.055256. What is v rounded to three decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 - 2*b)*(6 + 12*b**2 - 6).\nAnswer: -24*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.004438 rounded to 4 dps?\nAnswer: 0.0044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2. Let m = -37 - -41. Let a(s) = -m + 0*s + 4 - 38*s. Determine a(n(f)).\nAnswer: 38*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 8343204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 25*k. Let w(q) = -41*q. Determine w(t(v)).\nAnswer: -1025*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64 - 6*s - 130 + 72.\nAnswer: -6*s + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15634 to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*h + h - 2*h + (2*h - h - 3*h)*(1 - 1 + 1)*(25 + 9 - 7) as g + v*h and give v.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 30 - 11. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2)*(-8*p + 0*p - 10*p)*((-2 + 2 - 2*p**3)*(4 - 4 - 1) - 4*p**2 + 4*p**2 + p**3 + 10*p**3 + 7*p**3 - 2*p**3).\nAnswer: -648*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -386 + -55?\nAnswer: -3db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 500*t**5\/7 + 130600*t**4\/7 + 40820*t**3 + 217832*t**2\/7 + 70480*t\/7 + 1184 = 0. What is t?\nAnswer: -259, -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 45572?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 750373009 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 5*q**2 + 17*q + 1. Let m be d(7). Let r = -365 + m. Solve r = -z + 7 - 2 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 120 and 1480.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c11b3 - -8b?\nAnswer: -c1125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z**5\/8 + 135*z**4\/8 - 303*z**3\/4 + 45*z**2\/2 + 309*z - 360 = 0. Calculate z.\nAnswer: -2, 2, 3, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -12, -14, -24, -48, -92, -162, -264, -404?\n\"Answer: -h**3 + 2*h**2 - h - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - -37?\nAnswer: 3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 556561471 to the nearest integer?\nAnswer: 23592","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of 50*x**7\/21 + 35*x**6\/3 - 433*x**5\/10 - 139*x**4\/3 + 68*x**3\/3 + 40*x**2 + 61*x + 61. Let u(a) = 0. What is a?\nAnswer: -5, -1\/2, -2\/5, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25133011 a multiple of 197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -609 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10\/63 - -4\/9. Let m = 84.9 - 101. Let v = 16 + m. Which is the third smallest value? (a) v (b) -2 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yngn when four letters picked without replacement from ynnnnnynng.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 divided by 779987?\nAnswer: -12\/779987","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 118\/3 + -39. Which is the biggest value? (a) -5 (b) -4 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 280566 and 3924.\nAnswer: 561132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-91)*-7*(-177)\/(-885)\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 1 = -z, 6*z - 11 = 2*z + 5*s. Solve 3*q = -g - 6, -z*q - 15 = -4*g - 3*q for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((24\/27)\/(-4))\/(2\/(-3))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59663431?\nAnswer: 229, 260539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 160 and 320.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*j - 176 = -2*j + 49. What is the second smallest value in -78, -1\/3, -0.4, j, -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5853960 and 105630.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (860\/475)\/(-2) + ((-88)\/10)\/(-11). Let i = 1.1 - 1. What is the biggest value in l, i, -1, -1\/4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(245))**2 - sqrt(10)\/(-1*sqrt(2)).\nAnswer: sqrt(5) + 245","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-551)\/(-116) - (-5)\/(-1). Let u = -0.59 - -0.99. Which is the nearest to g? (a) u (b) -2\/3 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/4 - 2\/12*3. Suppose -18*p + 2*b = -19*p + 273, -2*p - 2*b + 540 = a. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 - 1. Let v be p(2). Suppose 0 = 4*c + 2*l - 120, 0 = -4*c - l + v*l + 104. Is c a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00256614456 rounded to 6 dps?\nAnswer: -0.002566","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/((z\/(z*(((z\/((((z*z**(-2\/9))\/z)\/z)\/z))\/z)\/z)\/z))\/z))\/z*z\/z**4*z)\/(z**(-3\/4)*z**(1\/5)) assuming z is positive.\nAnswer: z**(-41\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1178)\/(-12))\/31 - 3 - (-1815)\/(-10296).\nAnswer: -1\/104","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*c - 13*c + 3*c**4)*(-2 + 2 - 2 + (-5 + 3 - 1)*(-1 + 4 + 0)).\nAnswer: -33*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -q - 5*u, -34*u + 33*u = q - 9. Solve -2*m = -2*p, -q*p = -5*m - 0 + 3 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 - 9*h - 7. Let b be f(-1). Suppose 4*y - 4*o = o + 57, 0 = 3*y + 5*o - 69. Solve -y = 3*x - b*w, -3*x - 3*w = -0*w for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20 + 39. What are the prime factors of i?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 4*y**2 - 3*y - 39. Let j be w(13). Let z = 614 - j. Calculate the remainder when 36 is divided by z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -53 (base 16) to base 11.\nAnswer: -76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 52*t**3 + 2*t**2 - 26*t + 9. Let n(a) = -1. Let j(s) = -6*n(s) - x(s). Find the second derivative of j(k) wrt k.\nAnswer: -312*k - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 194 is divided by 20?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence snhn when four letters picked without replacement from {s: 1, n: 2, g: 2, h: 1}.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of -a**4\/6 + a**3 + 15*a**2\/2 + 8*a. Let z(h) = -h**2 - h - 1. Let o(f) = -v(f) - 6*z(f). Differentiate o(r) wrt r.\nAnswer: 16*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -117694, -117704, -117708, -117700, -117674, -117624?\n\"Answer: q**3 - 3*q**2 - 8*q - 117684","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 361 + 1639. Let z = -1398 - i. What is z rounded to the nearest 10?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3421520 and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(3) - sqrt(48)) - (0 + sqrt(48)))**2.\nAnswer: 507","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 4*s + 31777 = 0, -7*b + 6*b + 5*s + 31813 = 0. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*i - 11772 = 639*i - 501 for i.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 52*c**2 - 33*c**2 - c + c. Let j(v) be the first derivative of v**4\/12 - 3*v**2\/2 + 3. Let f(n) be the second derivative of j(n). Give f(u(m)).\nAnswer: 38*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17762389, 17762383, 17762377, 17762371?\nAnswer: 17762365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 2*y - 20 = 0. Let c(a) = 9*a - 6*a**2 + 3*a**3 - 2*a**3 + 6*a - y*a. Let p = 13 + -8. Determine c(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 794637221 to the power of 1\/2, to the nearest integer?\nAnswer: 28189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2020 (base 5) to base 9\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*h + 450*h + 412*h + 18312 = 0 for h.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -6*5\/10 + 3. Factor 0 - 2\/5*z**5 + 0*z + 2\/5*z**3 + 0*z**2 + t*z**4.\nAnswer: -2*z**3*(z - 1)*(z + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3424 + -110322?\nAnswer: -101343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve w**2\/2 - 39*w - 80 = 0 for w.\nAnswer: -2, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -105 + 125. Suppose i*h = 21*h - 6. Solve y + h = -y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 273 and 182026?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (2 - -18) + (178 - 180)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g*g\/(g**(2\/9)*g)*g*g)\/g)**48)**1 assuming g is positive.\nAnswer: g**(400\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 71 and 9869.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/(-2 - -1 - -2). Suppose 0 = -91*b + 126*b - 140. Suppose 4*p = 3*m + 3 - 5, m + 2*p - b = z. Solve -5*t + m = -4*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(300) - -1*sqrt(300) - sqrt(240)\/sqrt(5)))\/(sqrt(54)\/(1*sqrt(27)\/sqrt(3))*-6).\nAnswer: -4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 40.1 - 40. Let u = -0.66 - -0.26. Which is the second biggest value? (a) 3 (b) w (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of 3*p**2\/2 - 2*p - 8. Calculate the remainder when r(4) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9952*c - 341*c**2 - 9952*c in the form o*c**2 + i + h*c and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 31*m - 27*m - 12. What is the biggest value in -0.5, -8, -2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 PM and 8:10 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*y**3 + 1065 - 449 - 551 to the form t*y**2 + h*y**3 + s + x*y and give s.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-1*sqrt(110) + sqrt(110) - (sqrt(110) + sqrt(110) + 2*sqrt(110)*4))\/(3*(sqrt(1210) - sqrt(1210)*2)).\nAnswer: 5*sqrt(11)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25 + -20.3. Let n = 11.7 - q. Let j = 7 - n. What is the biggest value in 5, j, 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26043 (base 10) in base 15?\nAnswer: 7ab3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 - -8. Suppose 4*v - o = 103, 3*v + o - 51 = 21. Is s smaller than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -10*c**3 - 15*c + 2. Let i(g) = -6*g**3 - 16*g + 2. Determine -3*i(u) + 2*t(u).\nAnswer: -2*u**3 + 18*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -280 + 278. Let f(a) = a + 8. Give f(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27808 + -27809. Let r be (-4)\/8*4\/6. Which is the nearest to -7? (a) t (b) r (c) -0.2 (d) -0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -23220, -46446, -69678, -92916, -116160, -139410, -162666?\n\"Answer: -3*t**2 - 23217*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87369.\nAnswer: 3, 29123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 97?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 + i - 4. Let x be g(4). Let v = -10 - x. What is the third derivative of 5*p**2 + p**2 + 5*p**6 - 2*p**v - p**2 wrt p?\nAnswer: 360*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes before 4:25 PM?\nAnswer: 1:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 885774, 885601, 885428?\n\"Answer: -173*t + 885947","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1089.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**2 + 4*h + 11. Let j(o) = 2*o**2 + 14*o - 10. Let i be j(-8). Give r(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -78942 to the nearest 1000.\nAnswer: -79000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 13087.07 to the nearest 1000.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1\/2)\/(5\/(-1 + 151)). Let w(t) = t**2 - 6*t - 1. Let g be w(5). Is (-2230)\/c*9\/g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -31*p**3*q*w**3 - 6531083*p**3*w**3 - 914856*p**2*q*w**3 + p**2*q*w + 109*p**2*q wrt p.\nAnswer: -186*q*w**3 - 39186498*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6699083 is divided by 82?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -4*q + q. Let m = -23 - -26. What is the third biggest value in m, -2.3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (37\/111 + 25\/(-6)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8265703?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - (3 - -2)) + 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.6347*0.001.\nAnswer: -0.0006347","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(((-125)\/1050)\/((-25)\/(-45))).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7132, 7151, 7196, 7279, 7412?\nAnswer: 7607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.9 + -4971370.\nAnswer: -4971371.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-13)\/(-5) + 12\/30. Solve -4 = -r*f + 2*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -291 - g + 0*g - 998 + 323 - 603.\nAnswer: -g - 1569","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*i - 7*i - 14*i + (4 - 2 - 1)*(3*i - 4*i + 0*i) + 5 - 5 + 2*i + (2*i - 23*i - 19*i)*(2 + 3 - 6)*(-2 - 4 + 5) to a*i + c and give a.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 56\/(-140) + (0 - (-34)\/10). Solve 5*m - f + 8 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**0\/z)**(1\/10))**(8\/11) assuming z is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.54813 from -1606514287.\nAnswer: -1606514287.54813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 267499\/11 + 1 - 4\/44 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20 + 20.048. Let k = q + -0.04800235. Round k to 7 decimal places.\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 172542.\nAnswer: 2, 3, 149, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pqppppppppppq. What is prob of sequence qq?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -399 at least as big as -401?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.165 and -28398.112.\nAnswer: -28398.277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 2*w**2. Let c(j) = -8*j**2 - 8*j - 8. Let s(o) = 2*c(o) + 6*n(o). Factor s(a).\nAnswer: -4*(a + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2*m)*(-3*m + m - 6*m) + 6*m - 6*m + 2*m**2 + m**2 - 2*m**2 + 0*m**2.\nAnswer: -15*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 - (4 + -8) - -1. Suppose 7 = c*a + y, -3*y = -4*a - 10 + 2. Sort 0, a, -4 in ascending order.\nAnswer: -4, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2062302951 to the power of 1\/2, to the nearest integer?\nAnswer: 45413","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a second in milliseconds?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 246 and 902.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -5*j**3 - 197800*j**2 - 1956044185*j + 3912879610 = 0.\nAnswer: -19781, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 4*s**2 - 11976*s - 11980 = 0.\nAnswer: -1, 2995","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 22*p - 7. Let s(x) = 1. Let g(f) = 5*s(f) + y(f). What is the least common multiple of 20 and g(2)?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6857 - -11787. What is the remainder when z is divided by 55?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/13 (b) 3\/4 (c) -11 (d) 0.3 (e) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z**5 + 20*z**4 + 24*z**3 = 0.\nAnswer: -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 246 = 2*z - 2*u, -3*z = -4*u - 734. List the prime factors of z.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 + 2*v**2 - 1. Let a be k(-1). Let l be a + -2 - (0 - (-2 + 3)). Let w(s) = 3*s. Calculate w(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -10*1\/(-12)*(-117)\/(-195). Suppose 0*w - 1\/2*w**2 + 0 + l*w**3 = 0. Calculate w.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*b - 4*s, 0*b = -3*b + 4*s for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -1) + 15\/21.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -23\/9 - -925\/369. Suppose -2*h = -4*o + 2*h + 8, 7 = 3*o - 2*h. Suppose -o*c + 5 = 2*c. Is c at least u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 84 = -21, -a - 2*s - 17 = 4*a - 4*s for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.06 + 0.34. Let c = -0.1 - p. Let m = -10\/3 + 4. What is the closest to 1\/3 in 0.4, c, m?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 501917 = 2433*v + 426494 for v.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jvkiiffiivkikvl. Give prob of picking 2 v and 1 i.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h + 4*l + 13, 6*h + 3*l = 8*h + 19. Let f(n) = -37*n + 32. What is the units digit of f(h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 48132 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - x - 28, -5*x + 0*x = 15. Solve 2*z + 4 = -4*g, 13 = -m*z - 4*g - 3 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 3*j + 5. Let w(t) be the third derivative of t**4\/6 + t**3 - 5*t**2. Let v(z) = 5*w(z) - 6*y(z). Let r(f) = 4*f**2. What is r(v(o))?\nAnswer: 16*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 221.245 + -137.01. Let b = c + -1.005. Let f = b - 84. What is f rounded to 1 dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2254666 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + k)*(-25*k + 25*k + 16*k) - 5 + 2*k**2 + 5.\nAnswer: 18*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*i + 11*i - 8*i + 4*i to the form j*i + r and give j.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2.162 times 6\nAnswer: 12.972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -9*r**3 - 21*r + 4576. Let s(c) = 4*c**3 + 9*c - 2288. Determine 3*a(y) + 7*s(y).\nAnswer: y**3 - 2288","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 123657 to the power of 1\/3, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 5*t = 72 + 25, 0 = 4*t - 12. Suppose -5*k + 23 = -r*k. Which is greater: -3 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -634, -2538, -5710, -10150, -15858, -22834?\nAnswer: -31078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 14 = 6. What is the units digit of (4\/r)\/((-1)\/10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 360 + -365. Let w(v) = -v**2 - 13*v - 6. Let p be w(-11). Suppose 2*i + 1 = -u + 12, i - 3*u - p = 0. Which is the biggest value? (a) q (b) 5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence loo when three letters picked without replacement from lolmlolol?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/23 in -29, 4, 1\/4, 15\/7, -4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - (sqrt(5) + -2*sqrt(5) + -5) - sqrt(5)) + (4 + sqrt(5))*1.\nAnswer: 2*sqrt(5) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 80*-2*(-2)\/10. Let g = 38 + -45. Let u(l) = -l**3 - 8*l**2 - 9*l + 2. Let n be u(g). Calculate the greatest common factor of h and n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1604621010 and 60.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -26*m + 155. Suppose -3*y - 5 = -2, -21 = -4*k - 3*y. Let r be p(k). Is r at most as big as -13\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -39*d**2 - 5*d**5 + 50*d**2 + 17*d**5 + 7*d**5 wrt d?\nAnswer: 1140*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*i**4 - 17540*i**3 + 2199919*i.\nAnswer: 24*i**2 - 105240*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/41)*b)\/(b**(7\/6)\/b)*b**25\/b*b\/(b\/((b*b*b**20*b*b)\/b*b)) assuming b is positive.\nAnswer: b**(12001\/246)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssisi. Give prob of picking 2 s and 1 i.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 + -14. Which is the third biggest value? (a) n (b) -1 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 43 or 1582\/37?\nAnswer: 1582\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 1) + (475 - 492)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5690 * -32\nAnswer: 182080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 + 10. Suppose -k*m + 5*m = 12. Suppose -183 = -2*j + 3*q, -238*q = -237*q + 5. Calculate the highest common factor of j and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 3*j**2 - 7. What is k(-3)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 79, 162, 269, 412, 603?\nAnswer: 854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 - 0.0304?\nAnswer: 0.3696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/4 (b) 12\/5 (c) -14 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102 = 3*j - 6*j + 3*z, 5*j - 174 = 4*z. Solve j*h - 4 = 34*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 16945*a**2 - 575980*a - 5100 = 0. Calculate a.\nAnswer: -30\/3389, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 3*r - 17 = 0, 4*l - 8 = 3*r + 15 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 + 15\/(-9))*-9*10\/(-2). Calculate the highest common factor of r and 12945.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -62 + 44783*x**2 + 35*x + 63*x - 44785*x**2 + 63 as j*x**2 + p*x + o and give p.\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 13348555 and 274340?\nAnswer: 2295951460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -3*w - 5. Let r(g) be the first derivative of g**2\/2 + 3*g - 279. Calculate -4*c(n) - 7*r(n).\nAnswer: 5*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ci when two letters picked without replacement from {i: 11, c: 3}?\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {p: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114 = p - n, 10 = -6*n + n. Let l = -80 - p. Is 8 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-9))\/(522\/15399) + -2*7.\nAnswer: 17\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2 - 4*k - 12. Let i(p) be the second derivative of p**4\/4 + 2*p**3 + 18*p**2 + 6*p. Let l(h) = 6*i(h) + 17*y(h). Is l(-8) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 93*m**3*s*x**3 + 66*m**3*s + 835*m**2*s*x**3 + 2*m**2*s*x + 6*x**3 wrt m.\nAnswer: 558*s*x**3 + 396*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13608, 13607, 13606?\nAnswer: 13605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 433*a**2 + 3*a - 2. Let w be k(2). Suppose 182 - w = -14*b. What are the prime factors of b?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 260423.\nAnswer: 17, 15319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3 - -2)*(0 - 0). Suppose -h + 50 - 44 = m. Let o be (-52)\/(-20) - ((-8)\/(-5) + -1). Calculate the greatest common factor of h and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 3*m**3 - 2*m**2 - 48*m + 153. What is the remainder when 935 is divided by c(3)?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 4*h**3 - h**2 + 2*h - 3. Let y(z) = 4*z**3 + 4*z**2 + 7*z + 10788. Let m(u) = 4*w(u) + y(u). What is the derivative of m(g) wrt g?\nAnswer: 60*g**2 + 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.243*14.\nAnswer: 17.402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 226 - 987\/4. Find the common denominator of 22 and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5071 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 - -8 - (8 - (-42)\/3936). Is z at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -3*c**3 + 1041*c**2 + 3234*c - 29400 = 0.\nAnswer: -7, 4, 350","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 9195*p + 26*p**3 - 9189*p - 23*p**3 + 3*p**2 as l*p**2 + z*p**3 + b*p + d and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 91\/39 - (5 - 70\/15). Solve -2*n = -4*c + 8 - w, -3*n - 9 = -3*c for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**5\/11 - 67*w**4\/11 - 105*w**3 - 99*w**2.\nAnswer: -w**2*(w + 1)*(w + 33)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2081 + 3445. List the prime factors of r.\nAnswer: 2, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2318\/21623 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 57519?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -w + 3117, 0*w = -r + 4*w + 775. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a**(-14))**28*(a**6)**(-12\/7) assuming a is positive.\nAnswer: a**(-2424\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 1:32 AM?\nAnswer: 7:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32820470?\nAnswer: 2, 5, 3282047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 3*a + 489, 3*l - 2*a - 959 + 233 = 0. Does 30 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-84)\/10 - 10\/(-25). Let m(k) = -4*k - 6. Let a be m(g). Suppose 29 = y - a. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -32 + 38. What is the units digit of (-88*q)\/((-36)\/24)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/60 and (-8 - (-17630)\/2200)\/((-3)\/162).\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 90007, 90010, 90013, 90016, 90019?\nAnswer: 90022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 + h**2 - 6*h + 4. Let k be q(4). Suppose 2*w + k = 7*w. Calculate the smallest common multiple of w and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 38536625 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -10 (b) 0 (c) 8 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -1) + 3 + 8 + -16.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2742310 divided by -5.\nAnswer: -548462","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -25566 at most as big as 481?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + -3 + 15 - 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = -1398*z + 1396*z + 2, 5*z - 3*m = 10 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13075760 - 17123020 = -20*b. Suppose -b + 4884939 = -3*q. What is q rounded to the nearest 10000?\nAnswer: -1130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -41, -230, -637, -1322, -2345, -3766, -5645, -8042?\nAnswer: -11017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 136*q**3 - 7*q**2 + 14*q + 168. Let x(f) = -67*f**3 + 4*f**2 - 8*f - 82. Let n(c) = 4*h(c) + 7*x(c). Find the first derivative of n(j) wrt j.\nAnswer: 225*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 81 = 4*c, -4*c = -1070*f + 1072*f + 42 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 11*g**2 + 33*g + 277. What is the tens digit of m(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*r**2 - 2*r**2 + 4*r**2 + (3*r + r - r)*(-5*r + 287 - 287) + 16*r**2 - 5*r**2 + 26*r**2.\nAnswer: 21*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2097569 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -6*r. Let u be d(-6). Let a = -4 + u. Is 14 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -32 + 37. Solve -m*n + 5 = 30 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -1 + 54402*l + 3*l**3 - 2*l**2 - 54402*l. Let y(x) = -x**3 - x + 1. What is i(d) + 2*y(d)?\nAnswer: d**3 - 2*d**2 - 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u and 1 j when four letters picked without replacement from jiuquoioiiququqoiq.\nAnswer: 1\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 5 - 7. Suppose y*g - 6 - 22 = -4*o, -2*o + 2*g = 2. Solve o*c + 5*c = 24 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2342, -4678, -7008, -9332, -11650, -13962, -16268?\nAnswer: -18568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 375 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2403, -4826, -7249, -9672, -12095?\nAnswer: -14518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 p when three letters picked without replacement from qpqp?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 16731 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: In base 3, what is 12122101 + 121001?\nAnswer: 20020102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 PM and 7:03 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 985 is divided by 47?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 897302141 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 5*j**4 + 5180*j**3 + 5170*j**2 - 5180*j - 5175 = 0.\nAnswer: -1035, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4\/3, -1\/5, -5\/6, 1\/10, -3, 16?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 1\/((8\/4)\/14)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41625904 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 225, 1787, 6035, 14313, 27965, 48335, 76767, 114605?\n\"Answer: 224*b**3 - b**2 - 3*b + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 57 + -102. Let j(k) = -9*k**4 + 5*k**3 + 9*k**2 - 9*k. Let b(d) = -100*d**4 + 55*d**3 + 100*d**2 - 100*d. Let m(y) = t*j(y) + 4*b(y). Factor m(c).\nAnswer: 5*c*(c - 1)**2*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 213, 428, 647, 870?\nAnswer: 1097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 43741861 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*o - 33520 = -5*o. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v + 2*v - v)*(-22*v**4 - 17*v**4 - 5*v**2 + 7*v**2) + (4*v**4 - 5*v**4 + 2*v**4)*(v - 4*v + 2*v).\nAnswer: -40*v**5 + 2*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4057461542 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2012303 (base 4) to base 5\nAnswer: 234002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 + 8*n**2 - 12*n + 10. Let y be r(6). Suppose -2*q = -2*a + 50, -3*a - 79 = y*q - 6*q. Let d = 118 + q. Is d a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r**3\/7 + 142572*r**2\/7 - 174956832*r - 822104890000\/7 = 0.\nAnswer: -625, 18134","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(832) + -4 + sqrt(832)*-3 - (-5 + 1*sqrt(832)) - -3*(sqrt(832) - ((sqrt(832) - (sqrt(832)*-6*6 + sqrt(832))) + sqrt(832))))**2.\nAnswer: -1776*sqrt(13) + 10251071","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1557805, -1557820, -1557835, -1557850?\nAnswer: -1557865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -13\/2069?\nAnswer: -13\/2069","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3428736 divided by 571456.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + -1. Let f(z) be the first derivative of -1\/4*z**4 + 1\/3*z**3 + 3 + z - 1\/2*z**2. Determine f(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 2 - 3\/(-3)*36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43467183 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 7736 + 7678 = 0. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2765?\nAnswer: 5, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12122 + -12012202122202?\nAnswer: -12012202110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 12\/36809 and 27\/8?\nAnswer: 294472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8671363 centuries in millennia?\nAnswer: 0.08671363","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in sixty-one quarters of a microsecond?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 215*w - 100*w + 1 - 114*w.\nAnswer: w + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -334*q**3 + 2. Let x be n(-2). Let k be 6\/3 + (-2056)\/((-2)\/1). Suppose -k = 4*i - x. What is i rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 + 36*n. Let v(f) = 3*f + 17. Let s(l) = -l - 6. Let w(u) = 17*s(u) + 6*v(u). Determine t(w(p)).\nAnswer: p**2 + 36*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 40524624 to the nearest integer?\nAnswer: 6366","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*f - 3*f + 3*f - 2)*(2030 - 2*f**2 - 2030 - 148*f) to the form i + g*f + d*f**2 + x*f**3 and give g.\nAnswer: 296","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 544571 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3850478 divided by 3850478\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2484749 by -29.\nAnswer: 85681","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12563.0008 - -12547. Let o = -16 - v. Round o to three dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5526 + 5539. Put 1, 24, p, -1, 0 in ascending order.\nAnswer: -1, 0, 1, p, 24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*t - 0. Let b be t*(-3 + -12)*-1. Let c = 2058 - 2053. Solve -c*q + 10*q = -b for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37137 divided by -15.\nAnswer: -12379\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-156)\/10 - 8\/20. Let m = 14 + a. Let z be (0 + 3)*10\/(-15). Do z and m have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28509, 114183, 257025, 457035, 714213?\nAnswer: 1028559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3*0.224\nAnswer: 0.672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 628 a factor of 22764094?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4*36\/(-27)*6. Which is smaller: t or -33?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of 402*c**5\/5 - 2*c**3\/3 + 217*c**2 - 2567. Find the second derivative of s(y) wrt y.\nAnswer: 4824*y**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5085 is divided by 137?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (5 + 1 + sqrt(242) + 2)**2 + ((sqrt(72) - (-1 + sqrt(72) + 1))**2 - sqrt(72)) + (sqrt(242) - sqrt(242)*2) + (sqrt(2) + sqrt(12)\/(-1*sqrt(6)))**2.\nAnswer: 159*sqrt(2) + 301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -11*s**2 - 2*s. Let c(f) = -34*f**2 - 7*f. Let d be 4*1*821\/(-821). What is d*c(t) + 14*n(t)?\nAnswer: -18*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 305 + 0\/(-3) - (-15 - -19)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*v - 0*v. Suppose 5*s - v*s + 5*y = 7, -4*s = -5*y - 53. Suppose 5*x - s = -2. Solve 0 = 5*c - x*c - 3 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 168\/22*1221\/(-222) - -21\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111b32 (base 16) to base 10.\nAnswer: -1121074","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92682*h - 5 - 185360*h + 92674*h + 12 + 5 + 18.\nAnswer: -4*h + 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 738423 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*i - 32*i - 33*i + 135*i - 39*i.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -13 + 12?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8067 + -4854. Is 27 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - p - 10 = 0. Suppose 0 = r + 4*l - 16, 4*r + p*l + 3 = 34. Solve -r*x + 15 = x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 4*t - 46, 9 - 1 = 4*c + 4*t. Let r be ((-340)\/(-408))\/((-1)\/(-6)). Suppose r*v - c*v + 135 = 0. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -191807000 to the nearest 1000000.\nAnswer: -192000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 19\/3, -2318, 2?\nAnswer: 19\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**4 - 6580*d**3 - 2131670*d**2 + 21812700*d - 54946125.\nAnswer: -5*(d - 5)**2*(d + 663)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 28\/8 + (-1)\/(-2). Let r = 6 + 2. Suppose 240 = 160*p - 148*p. Solve -r*v - p = -o*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*b - 196853 + 208088 = 257*b for b.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -t + 3, 3*o + 11 = -3*t + 2*t. Which is the closest to o? (a) 2 (b) 0.5 (c) -3 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 92*t*v**3 - 3*t*v**2 + 2225*t*v + 7360361*v**3 wrt t?\nAnswer: 92*v**3 - 3*v**2 + 2225*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/14 and (2 - (3 + -1)) + 273\/6.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*w - 380 = 294 - 548 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -15 (b) 19 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 10 = -5*g. What is the second derivative of 15*b**4 + 14*b**4 + 3*b**2 - g*b**2 + 22*b wrt b?\nAnswer: 348*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 51 in 0.5, 5, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 + 3*n + 1. Let k be t(2). Solve 5 = -4*i + i - 4*p, 0 = -3*i - 3*p - k for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 3*l = 12, 10 = -4*o - 5*l - 27 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + -2219?\nAnswer: -2223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5825005061 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, r: 2, f: 3, h: 1, o: 3}. Give prob of sequence hs.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**2 + 3*t**2 - 4*t**2)*(-2*t**2 - t**2 + 2*t**2) + (-t**3 - t**3 + 4*t**3)*(-2*t + 13*t - 4*t) + 5*t**4 - 3*t**4 - 3*t**4.\nAnswer: 12*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the second derivative of -r**7\/84 - r**6\/20 + 17*r**5\/10 - 17*r**4\/2 + 44*r**3\/3 - 13038*r. Suppose b(j) = 0. What is j?\nAnswer: -11, 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 113652 and 8120.\nAnswer: 32959080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hyh when three letters picked without replacement from hxyjbbbhyhbyhyhyyhhh?\nAnswer: 14\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 62677 (base 8) in base 11?\nAnswer: 1862a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(209)*2 - (sqrt(209) + -3*sqrt(209)*3))\/((-1*sqrt(99)*-1)\/((sqrt(9) + sqrt(36)\/sqrt(4))*-1)).\nAnswer: -36*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 20, 1, 11\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -49, -4, 0.5 in decreasing order.\nAnswer: 8, 0.5, -4, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 + 2*y**2 - 2*y + 6. Let k be s(2). Let i = 1 + k. Suppose i*v - u = 6, 26 + 1 = 4*v + 5*u. Solve -4*c = -v*c + 1 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 2*k - 12. Let u be d(6). Suppose 2*w - 4 = -2*s, 30 = -5*s + 5*w - u*w. Let q = s + 5. Solve 3*p - 16 = r, -q*r = 3*p - r - 13 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 471 divided by 740?\nAnswer: 471\/740","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -10*r + 1169. Let z(f) = -4*f - 14. Determine -g(q) + 4*z(q).\nAnswer: -6*q - 1225","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - (11 + -8)) + (96 + -62 - 50).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 0 + 3 = 0. Let g be (1\/k)\/(5\/(-125)). Solve -4*y - y = g, -5*h - 3*y - 25 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/(-222))\/(1 - 9087\/9054). Let k = n + 26\/11. Let l = -197\/111 - k. Put 0, 5, l, 0.3 in ascending order.\nAnswer: l, 0, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-2\/5)\/c)\/c)**(-5\/3)*(c\/c**(-1\/5))\/c*c\/((c*c**1*c)\/c))\/(c**(-1)\/((((c\/(c**(-1\/8)\/c))\/c)\/c*c)\/c)*(c*c**(-2\/11))\/c**(-1)) assuming c is positive.\nAnswer: c**(1103\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 146?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of t**2 - 4\/3*t**3 + 0 + 2\/5*t**5 - 1\/6*t**4 + 4*t. Factor s(x).\nAnswer: 2*(x - 1)*(x + 1)*(4*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -349*h + 1 - 1 - 1571*h.\nAnswer: -1920*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -128, 2\/13, 1\/6, -4, 13 in increasing order.\nAnswer: -128, -4, -1, 2\/13, 1\/6, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 768978 divided by -21?\nAnswer: -36618","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1578 + 1398 + 424 = -340*p for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 PM and 3:05 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/2 + -3 - -227. Suppose 5*y - j = 5*p, y + 3*p + 37 = 2*y. Suppose 0 = -4*w + y + 11. Solve -3*h = -w, 4*l + 4*h + 0 = 16 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1862 - -3139. List the prime factors of x.\nAnswer: 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 832 and -2.9.\nAnswer: 829.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 + 2*s**2 - 2*s + 3. Let f(v) = 9*v + 33. Let y = -347 - -343. Let r be f(y). Give c(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 34*l**5 - 81*l**5 - 52*l**5 - 68*l**2 - 56*l**2 wrt l.\nAnswer: -5940*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -5*f**2 - 5*f + 4. Let b(l) = -8*l**2 - 8*l + 8. Let k(z) = 3*b(z) - 5*j(z). Calculate the remainder when k(-9) is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 97738 + 97729 = -p, 2*p + 2*d + 12 = 0 for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.79 and 0.087?\nAnswer: 0.32973","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2477, -9485, -21027, -37103, -57713, -82857, -112535?\n\"Answer: -2267*l**2 - 207*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/13338*-174 - 8\/(-18)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1122001 + 10200?\nAnswer: 1202201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjalajalaal. What is prob of picking 2 a?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3\/8 (b) 1\/4944 (c) -1 (d) -3\/7 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9*k**2 - 8*k*v**2 + v**2 - 46*v wrt k?\nAnswer: -18*k - 8*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*s*v*z**3 + s*v*z**2 - 2*s*z**3 + 14*s*z**2 - 17*v*z**3 - 2*z**3 - z**2 + 3 wrt z?\nAnswer: 48*s*v - 12*s - 102*v - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(475) + (sqrt(475) + -2)*6 + sqrt(475) + (sqrt(19) - (sqrt(171) + 0)) + sqrt(1216) + -1 + sqrt(1216) + sqrt(19) + 0 + -3)**2.\nAnswer: -1760*sqrt(19) + 57731","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 908959, 909721, 910483?\n\"Answer: 762*j + 908197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 27410 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -158, -1\/5, 29\/2 in descending order.\nAnswer: 29\/2, -1\/5, -3, -158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -56 - -0.38721.\nAnswer: -55.61279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-766)\/(-2)*47\/47. Suppose 11*t + y = -376. Which is smaller: -68 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5287, -5276, -5261, -5242?\nAnswer: -5219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -106, -306, -602, -964, -1362, -1766, -2146, -2472?\n\"Answer: 5*d**3 - 78*d**2 - d - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/(-20))\/(81 + -95 + -1399*(-6)\/600)?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*h = -46*h + 1871 - 631. Let t(g) = -g**2 + 7*g + 14. Let l be t(6). What is the highest common divisor of h and l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggddddd. What is prob of sequence ggdd?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-4 + sqrt(45)*1*3)**2.\nAnswer: -72*sqrt(5) + 426","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -22 * 73133.87.\nAnswer: -1608945.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-73)\/438)\/(2\/(-18)). What is the fifth smallest value in l, -37, -2, -4, 0.5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -12 - -6 - (-10 + 17).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000105027 rounded to six dps?\nAnswer: 0.000105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7.37 + -3.37. Which is the third biggest value? (a) z (b) -13 (c) -0.057\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 12, y: 5, r: 1}. What is prob of sequence bb?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence es when two letters picked without replacement from {v: 6, g: 1, s: 1, n: 2, e: 2}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/(-84))\/(660\/(-462)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-24)\/(-9)*(-3 + 0)\/(-12). Factor 0*f + j*f**2 - 8\/9 + 2\/9*f**3.\nAnswer: 2*(f - 1)*(f + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c + 0*c + 2*c)*((-3*c + c + 4*c)*(2 - 2 + 2) + (-12 - 5 + 5)*(-13 + 11*c + 13)).\nAnswer: 128*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 divided by 148959.\nAnswer: 10\/148959","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from opollpooop. What is prob of sequence popl?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -662374 + 662374 - 5*v**2.\nAnswer: -5*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 + 11. Which is smaller: d or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.317696 weeks in milliseconds?\nAnswer: 5030542540.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2985626933 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-303)\/(-2) - (-7)\/(-14). Suppose -5*h - 111 = -4*g, 4*g + 6*h - f = 3*h. Calculate the highest common divisor of 17 and g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/4? (a) 3\/11 (b) 1 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 163 + -109. Differentiate 176 + 78*a - k - 38 with respect to a.\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1312 = 330*l - 6743 - 4469 for l.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7605 and 16393?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 121 divide 15001217?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18630864, -18630857, -18630850, -18630843?\nAnswer: -18630836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/13790 and 36\/55?\nAnswer: 151690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -12?\nAnswer: 4.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(80) + sqrt(80)*-2 + -5 + sqrt(80) + 0 - (-4 + sqrt(80) + 0 + -3 + 5))**2.\nAnswer: 8*sqrt(5) + 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 7*q**3 - q**2 + q + 1. Let y be g(2). Suppose 0*n + 5*n = y. What is the smallest common multiple of -4*7\/(-42) - (-38)\/6 and n?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.4 - 0.4. Suppose 3*k - b + 19 = 8, -16 = -2*b. Sort -5, -2\/7, i, k.\nAnswer: -5, k, -2\/7, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u = 9*u - 24. Suppose u = -l + 3*l. Suppose -4 = -o, -4*c - 1 = -c - l*o. Solve -k = 4*f, k - c*f + 10 = 1 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -67149.76 to the nearest 1000.\nAnswer: -67000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 14 - 38 = 0. Let p(n) = -6*n + i*n + 0*n. Let r(d) = d**2. Determine r(p(u)).\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.699909 - 1.7. What is y rounded to five decimal places?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2000*a + 12953 + 18599 = -28496 + 8048 for a.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2119 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -4, -5, 8 in decreasing order.\nAnswer: 8, -4, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*p = -p - 14 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 16 = -26 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*x**3 + 4 + 5*x - 3*x + 4*x**3 - 3*x**3 in the form z + s*x + v*x**2 + w*x**3 and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -1 - (-16 - (-11 + -9))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -554 (base 11) to base 16.\nAnswer: -298","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-780)\/146640)\/(2\/16).\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 113\/140 - 31\/30. Let r = 1\/42 - p. Solve 0*w**4 + 1\/4*w + r*w**5 + 0*w**2 - 1\/2*w**3 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4732, -4729, -4726, -4723?\nAnswer: -4720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-6) - (-13)\/3. Let u = -28 + 27.616. Let q = u - 0.016. Which is the second smallest value? (a) j (b) q (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11.6 + -13. Let n = l + 1. Let f = 211 - 203. Sort 2\/11, n, f in decreasing order.\nAnswer: f, 2\/11, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -26351 + 37916. Let i be (v\/(-16))\/5 + 0. Let m = i - -145. Calculate the common denominator of m and 43\/8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 23951749 or 23951747?\nAnswer: 23951747","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 930 + 0*k**2 - 3*k**2.\nAnswer: -3*k**2 - 928","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5300 - 63463\/12. What is the common denominator of g and (-1)\/4 - (-45)\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1048508840.\nAnswer: 2, 5, 353, 74257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 687626 divided by -3\nAnswer: -687626\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/21168 and 37\/25872.\nAnswer: 232848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 7*d**2 - 194*d - 62. What is h(28)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 3 (b) -1\/4 (c) -4 (d) 0.6 (e) -323\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 - 21*g**2 + 2*g + 50. Give v(8).\nAnswer: -766","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1054 and 14875?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 220?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11156948 is divided by 182?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 51, -15, -85, -159?\n\"Answer: -2*u**2 - 60*u + 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*h + 29 = -15 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rggrggdgcggdgg. Give prob of sequence rr.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 66320647 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 2*a**2\/13 - 6814*a\/13 + 524 = 0.\nAnswer: 1, 3406","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10100144 + -11?\nAnswer: -10100210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 - 32*q - 189. Let h be p(-8). Calculate the highest common divisor of 75 and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*g - 2*g + g)*(10*g + 31*g - 9*g)*(2*g - g - 3*g) in the form i + d*g**3 + c*g + f*g**2 and give d.\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16237335*g**5 - 5*g**2 + 148725359*g wrt g?\nAnswer: 324746700*g**3 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, -3\/5, -5, 15092.9, -2, 0.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ayaypayyypspppypy. Give prob of sequence yp.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1029))\/sqrt(7).\nAnswer: -7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2824, 2, -5, 4 in descending order.\nAnswer: 2824, 4, 2, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 75 - 25 = 3*n, -4*n - 5*s = 148. Let b = -4.3 + 3.3. Is b bigger than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 9035, 9034, 9033, 9032, 9031, 9030?\n\"Answer: -g + 9036","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 - 5*h**2 + 7. Suppose 6*a = 8*a + 2. Let g = -6 - a. Determine u(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 120 = -3*s, 4*s - 4*b + 91 = -77. Let h = s + 55. Let z(f) = -20*f - 77. Let o be z(-4). Solve o*j - h + 1 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iixlxiggjxini. Give prob of sequence xng.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -89\/46 - -326\/115. Let h(u) be the first derivative of -3\/2*u**2 - a*u**5 - 1\/8*u**6 - 33 - 3*u**3 + 0*u - 39\/16*u**4. Factor h(d).\nAnswer: -3*d*(d + 1)**2*(d + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -a*o**2*t - 12*a*o - 91*a*t - 2*o**2*t + o**2 wrt o?\nAnswer: -2*a*o*t - 12*a - 4*o*t + 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -471, -4, -62, -17 in descending order.\nAnswer: -4, -17, -62, -471","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14850 and 586850?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 4*o**2 + 27*o + 26. Let c be s(-1). Solve -z - 33 = -5*p - 4, -2 = c*z + 2*p for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 336 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 285*v**3 - 276*v**2.\nAnswer: 1710","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10113024 plus -0.1?\nAnswer: 10113023.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32 by 1058.\nAnswer: 16\/529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -733, -738, -747, -760, -777, -798?\nAnswer: -823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 - 2*m - 7*m**2 + 0 - 4*m - 4. Let b be i(8). Suppose 4*t = b - 4. Calculate the lowest common multiple of t and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 20*q - 5*h - 25, 3*h = 874*q - 871*q - 60 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 + 0 + 2*s**2 + 9*s + 4 - 2*s**2. Is 12 a factor of d(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0005481 rounded to 4 dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1032222 (base 5) to base 4\nAnswer: 10112110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -33 - (2\/(-6))\/(19\/57). Let h be (-1 - 0) + 35\/1. Let z = h + l. What is the lowest common multiple of z and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 7*d**2. Let w(h) = -h**2 - 7*h - 14. Let t be w(-5). Let o(u) = -u. Let z(x) = 6*x. Let c(j) = t*o(j) - z(j). What is c(n(i))?\nAnswer: -14*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/3)\/(-8*9\/3888).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -34*t + 2. Let m be p(-1). Suppose n + 4 = q, -2*q - n = -23 + 9. Suppose -q*f = -3*f - m. Does 4 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 - 12*b**2 - 6*b - 96. Let r be m(13). Sort r, 0, -6, -8, 2 in descending order.\nAnswer: 2, 0, r, -6, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3266 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 59392113, 118784214, 178176315, 237568416, 296960517?\n\"Answer: 59392101*l + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(-2\/63)*p*p\/((p*p\/(p*p**(-22)))\/p))\/(p\/p**(2\/91))**(-7) assuming p is positive.\nAnswer: p**(-9928\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(6\/5)*t)\/(t**4\/t))**(-6))**(-23\/3) assuming t is positive.\nAnswer: t**(-184\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3312*z + 25*z**2 - 3332*z + 37*z**2 - 3 - 2*z**2 to k + g*z**2 + w*z and give w.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 1\/3*h**3 - 50\/3*h**2 + 0*h = 0.\nAnswer: -50, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*d + 4*n + 26, -40*d - 5*n - 31 = -36*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 + -7*(-4 + 3). Let s be 7\/3 + l\/6. Is s at most as big as 5\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 27 = -v - 4*s, -s + 70 = 3*v. Suppose 4*i - v = 49. Calculate the lowest common multiple of i and 14.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 384 is divided by 95?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 238, 530, 942, 1534, 2366, 3498, 4990, 6902?\nAnswer: 9294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 2, -2, -4 in descending order.\nAnswer: 13, 2, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3169509 is divided by 1584683?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 350 a factor of 20650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16536)\/324360*18\/39?\nAnswer: -2\/85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 7\/879?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*j = -6*j - 28. Solve -x - j + 2 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16239, -16228, -16217, -16206, -16195, -16184?\nAnswer: -16173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 3799*q. Let z(g) be the second derivative of g**4\/12 - 426*g. Give z(w(h)).\nAnswer: 14432401*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-35)\/(-3)*(-48)\/(-80)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mheemrm. Give prob of sequence hem.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25 and 1975?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s**4\/7 - 179120*s**3\/7 + 1980377488*s**2\/7 + 556859719680*s\/7 + 38660141481984\/7 = 0 for s.\nAnswer: -138, 22528","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 428 - 388. Suppose -22*d + p = 18*d. Let b(r) = 15*r - 1. Calculate b(d).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2728)\/56 + 2\/(-7). Let l = 55 + n. Solve -g + 4*z = 9, z - l = -g - 0*z for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 172587 - -1.402.\nAnswer: 172588.402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -9 + 1 - 3?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2081959549?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2. Let c(l) = 110*l + 109*l - 210*l. Give c(z(a)).\nAnswer: -9*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8d9 (base 15) to base 13.\nAnswer: -bb2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7.252 - -0.252. What is the third biggest value in 0.5, -2\/17, j, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c + 1 - 1. Let d(t) be the third derivative of -t**4\/24 - 5*t**2. Let p(w) = -6*d(w) - l(w). Let r(h) = -2*h. Determine p(r(z)).\nAnswer: -14*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12378?\nAnswer: 2, 3, 2063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 28 * -206.07\nAnswer: -5769.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 69 * 14099884.\nAnswer: 972891996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -218 - -217. Is (f - (-153)\/18)*2*1 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (9 - 3)*4\/6. Suppose -5*t + 2*q = -o, 4*t = -q + 2*q + 5. Suppose 4*p - 20 = -5*w + 13, 0 = 3*w - 15. What is the remainder when p is divided by t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5119 to the nearest one hundred.\nAnswer: 5100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*g + 12*g + 60*g.\nAnswer: 79*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*h - 867 = 142*h for h.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 215024685?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92689.\nAnswer: 59, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5 - 92\/(-16))*5504\/8. Is j at least as big as 515?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen quarters of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000462634 rounded to 4 dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -313609\/2 + 156805. Let p = 41 - 37.9. Sort p, r, 5 in decreasing order.\nAnswer: 5, p, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/4 in -51, -3, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, 10467, 1\/5, -5, 2 in descending order.\nAnswer: 10467, 2, 1\/5, 2\/11, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16932?\nAnswer: 2, 3, 17, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5015651 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k**2 - 169*k + 3434. Determine f(51).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 9533 (base 10) to base 8\nAnswer: 22475","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -157*r**3 - 2202*r**2 + 18784*r + 480.\nAnswer: -(r - 6)*(r + 20)*(157*r + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*y + 30*y + 6*y - 64*y - 945*y**2 + 13*y.\nAnswer: -945*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 - -22. What is the lowest common multiple of g and 18?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l*l**(2\/17)\/l))\/(l*l**7))\/(l**2)**(-27) assuming l is positive.\nAnswer: l**(797\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.42 - -0.02. Let r = 0.23 - -16.77. Let t = r + -20. Which is the smallest value? (a) o (b) -1 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 3110 - 2926 = -11*i, -3*i + 5*a - 48 = -10 for i.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2808800 rounded to the nearest one hundred thousand?\nAnswer: -2800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5.85 - -0.15. Let k = 0.1 + -4.1. Let y = z + k. Is y at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -37019, -37727, -38411, -39059, -39659, -40199?\n\"Answer: 2*p**3 - 722*p - 36299","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1225*j + 5274 - 6514 - 6701 - 6759 = 0 for j.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/12715 or -1?\nAnswer: 2\/12715","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 139\/3 + (-2)\/6. Let g = 89 + m. Suppose -5*u + 2*v + 658 = 5*v, -4*v = u - g. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08 minus 24.79739575?\nAnswer: -24.87739575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add -59 and 1974899614.\nAnswer: 1974899555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -2*s**2 - 8149*s + 221482. Calculate m(27).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 5*b**3 - 4*b**2 + 8*b + 9. Let s(c) = c**3 + c + 1. Let u(w) = o(w) - 6*s(w). Let v be u(-5). Calculate the greatest common factor of 36 and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**4 - 7*c**3 + 5*c**2 - 3*c + 3. Let w(p) = -7*p**3 + 6*p**2 - 4*p + 4. Let v(x) = 4*f(x) - 3*w(x). Factor v(g).\nAnswer: -g**2*(g + 2)*(4*g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 1775*g + 24461 = 1773*g, 2*g - 4 = 0. Does 16 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-28)*-6)\/((-1203)\/(-2406)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6446 - -6445.94. Which is the closest to 1? (a) 2 (b) -41 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -38408 (base 15) to base 7\nAnswer: -1346102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gxx when three letters picked without replacement from {o: 1, i: 5, g: 1, a: 1, c: 2, x: 6}?\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -23237.\nAnswer: -116185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*c = 27*c - 4692. Calculate the remainder when c is divided by 174.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 190\/(-40)*(-3 + -1). Suppose -c*l - 15 = -22*l. Suppose 7*i = l*i + 88. List the prime factors of i.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 23*r**2 + r. Let l be f(1). Suppose l = -4*k + 80. Calculate the remainder when -5*-3*(-16)\/(-6) is divided by k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 5. List the prime factors of (0\/3 + 7)\/x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22 + -16. Calculate the lowest common multiple of 1*-2*(0 - 3) and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2\/6 - 67*v\/3 - 4489\/6.\nAnswer: -(v + 67)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2*2\/(-8)*-6. List the prime factors of (9\/(-15))\/(m\/(-45)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + u + 28 = 0, -2*g + 2*u + 47 = 3*g. Suppose 0 = l + g - 28. Suppose 0*n + l = n. What is the remainder when 54 is divided by n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/514 and -91\/8?\nAnswer: 2056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -4*p**2 - 18*p - 66. Calculate u(-10).\nAnswer: -286","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/6*((-2)\/30)\/(59\/531).\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by 2546\nAnswer: 4\/1273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -849 - -857. Suppose 12 = -5*u - 228. Let i be (4\/u)\/(9\/24). Which is the closest to i? (a) -2 (b) y (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3398.\nAnswer: 2, 1699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17557 to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 + -11. Let l be 15\/(-90) + (-34)\/(-60). Let p = -99 - -97. Which is the closest to -1\/5? (a) s (b) p (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 159*s = -273*s + 402*s - 127*s + 14758 for s.\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -54 + 50. What is the closest to 3 in -5, p, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -161312, 1\/3, -0.4 in decreasing order.\nAnswer: 1\/3, -0.4, -161312","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**5\/5 - 2*i**4 + 29*i**3\/5 - 8*i**2\/5 - 48*i\/5.\nAnswer: i*(i - 4)**2*(i - 3)*(i + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(448))\/(5*sqrt(100)).\nAnswer: 8*sqrt(7)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l - 4 + 4)*(0*l + 0*l - l**3) - 103 + 3*l**4 + 122 - 4*l**4.\nAnswer: l**4 + 19","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 12320 a multiple of 154?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ej when two letters picked without replacement from jjhppxeooxpopehe?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24245?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 187156294 divided by -26.\nAnswer: -7198319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7429?\nAnswer: 17, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 462302202 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/4)\/((-98)\/56).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 121 - -1020?\nAnswer: 1211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 12:25 AM?\nAnswer: 5:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + 212101120200001?\nAnswer: 212101120122221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/4)\/(f**(1\/3)\/f))\/(f*f\/(f\/(f\/f**1)*f))**(3\/34) assuming f is positive.\nAnswer: f**(5\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 2*h**3 + 59*h**2 - 31*h - 38. Determine u(-30).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 261*y**4 + 108*y**3 + 2*y**2 + 14929*y.\nAnswer: 6264*y + 648","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6347, -12703, -19061, -25415, -31759?\nAnswer: -38087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 722211 is divided by 282.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19 + 90. Let s = -67 + l. Let x = 5 + -5.1. Sort 0, s, x in decreasing order.\nAnswer: s, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1)\/(21\/(-1416)) - (-3)\/(-7) is divided by 8\/10*(-340)\/(-8).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -7 - (-35 + 24 + -11 + 37)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -507.0151 + 0.0151. Let v = b + 506.999999517. What is v rounded to seven dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + -10. Let c(p) = 14*p**2 + 8*p + 14. Let x(a) = -5*a**2 - 3*a - 5. What is d*x(m) - 3*c(m)?\nAnswer: -2*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 986404.\nAnswer: 2, 19, 12979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10295.\nAnswer: 5, 29, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q + q = -7*q. Suppose -6*x - 92 + 842 = q. Does 25 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a - a**2 - 3*a)*(a**2 - a**2 + 2*a**2) - 77*a**4 - 2031*a**3 + 2031*a**3 - 4*a**4 + 3*a**4 + 0*a**4.\nAnswer: -80*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a millennium in months?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.0806034662 and 9.62495.\nAnswer: 9.7055534662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**28\/m)\/m**(-5) assuming m is positive.\nAnswer: m**33","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -39*g**2 + 41*g + 1. What is i(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -1. Let f(u) = 5. Let w(b) = -f(b) - 4*q(b). Let l(m) = -2*m**2 + m - 2. Suppose 3*o - 19 = -13. What is o*w(s) - l(s)?\nAnswer: 2*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 348105463 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = 2*b - 67, 5*b - f + 3252761 = 3252726 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyyzyyyyynzznzy. What is prob of picking 2 z and 1 y?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.03923, 6\/5, 5?\nAnswer: -0.03923","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2\/2 - 131*i\/2 + 65.\nAnswer: (i - 130)*(i - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -500*w - 18 - 30 + 98 - 53 as h*w + z and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 15 = -43. Suppose 133 = -18*l - l. Calculate the remainder when (-2)\/((-16)\/146) + l\/f is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 108 - 3 - (-3 + -10 + 10 + -17 - -27).\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -126175 to the nearest 1000.\nAnswer: -126000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 43 - 29. Let b = -1 + 4. Suppose p - 28 = -a + b*p, -5*a + 2*p = -100. Calculate the smallest common multiple of u and a.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (366\/4)\/((-27835)\/(-1634) - 17). What is the highest common factor of 793 and j?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 920 is divided by 73.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(65)*-2 + sqrt(65))\/sqrt(5).\nAnswer: -7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3183754?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1131 and 37479.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 308\/33*(94\/28 - (-30)\/(-12)). Let g(p) be the first derivative of -p**4\/4 + 3*p**3 - 7*p**2\/2 - 7*p + 3. What is g(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (608\/32)\/(22 - 1032\/48).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 227654046?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 25 - 16. Let s be -109*k - 15\/3. Does 24 divide s\/(-18) + (-8)\/(-36)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-688)\/3096)\/((-2)\/(-144)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2 - 5*j + 4. Let l be ((-60)\/16 - -4)*0. Suppose z + 3 = 0, l*m + 4*z = -4*m + 8. Give u(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -156*s + 50. Let k(o) = 31*o - 10. Let z(y) = -2*d(y) - 11*k(y). Differentiate z(x) wrt x.\nAnswer: -29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22 - 23. Put 0.03, 2, a in decreasing order.\nAnswer: 2, 0.03, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2*z + 4. Let r be m(-4). Let d be r*(-22)\/8*2. What is the greatest common divisor of 55 and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + n - 407 = 5*v, 3*n - 237 = 3*v. Let q = 134 + v. Let i = -34 + q. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.01 + 0.01. Let m = 91.2 + -91. Which is smaller: i or m?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-90)\/((-600)\/20)*(-8)\/(-14)\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2 + 2. Let t(a) be the third derivative of -a**4\/24 - a**3 - 2*a**2. Let i be t(-4). Calculate h(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**3 - 444*l**2 + 44920*l + 186528.\nAnswer: -4*(l - 67)*(l + 4)*(l + 174)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -4*y + 34. Let n be h(-14). What is the highest common divisor of 36 and n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 AM and 7:30 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -13 (b) 49 (c) -1 (d) -4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4797 and 99?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00021964669 rounded to seven dps?\nAnswer: -0.0002196","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-73 - -3) + -28 + -10 + 44 - 3.\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(152)\/sqrt(8))**2 - (4 + sqrt(19) + 0)) + 3.\nAnswer: -sqrt(19) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 - 7. Let n be v(-6). Let k = 17 - n. Let j be -12*2*3\/k. Solve 4 = -j*x + 2*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(7) - -1*sqrt(7)) + 1 + sqrt(49)\/((sqrt(7)*-3 - sqrt(7)) + sqrt(7))).\nAnswer: 4 + 20*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -217 + 475260?\nAnswer: 475041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let h = -27 + 23. Are -3 and h nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2229 - 1133. Differentiate z - 533 + 224*q - 481 with respect to q.\nAnswer: 224","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*v**3 - 3358*v + 3564*v - 12*v**3 + 20*v**3.\nAnswer: 5*v**3 + 206*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.9? (a) 1\/17 (b) 0 (c) 1 (d) 1.03 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 + 2*c**2 - 2*c - 8. Let s(p) = -3*p**3 - 5*p**2 + 4*p + 25. Let b(m) = -2*s(m) - 7*t(m). What is b(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 3*d**2 - 2*d - 22. Let i be x(9). Suppose -128*p = -115*p - 377. Calculate the highest common factor of i and p.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*q = 3*q - 9*q. Let x be (1*3)\/(9\/12). Let p = x - q. Let n(g) = -g**3 + 3*g**2 + 6*g - 4. What is n(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2, 0.05, 4, -1\/18, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-171513)\/(-76))\/(-177))\/((-3)\/(-8)).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5\/1074 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -4.145 + 15\nAnswer: 10.855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 217 + -209. Let u = -2 - 6. Let a = g + u. Solve 0*b + b - 4 = a for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14467*u = 14422*u - 180 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.093 - -0.303. Let r = h - -0.19. Which is the nearest to -0.1? (a) 0 (b) r (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/4*(-6)\/1.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.32328 to 2 decimal places.\nAnswer: 0.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1202*x - 42 = -1209*x. Let z = 43 + -27. Calculate the remainder when z is divided by x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/(-42) - ((-9)\/(-108))\/(33\/(-174)).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of -z**4\/12 - z**2 + 10*z. Let r(h) = -3*h**2 - 5. Let l be 2\/((-4)\/(-30)*3). Determine l*i(o) - 2*r(o).\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 divided by 3.\nAnswer: 28\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 57 and 1026?\nAnswer: 1026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**2\/b)**(-7\/5))**40 assuming b is positive.\nAnswer: b**(-56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-1\/19)*(f**(-3\/8)\/f)\/f assuming f is positive.\nAnswer: f**(-369\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8620 - -8659. What is the remainder when 814 is divided by r?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23650 rounded to the nearest 1000?\nAnswer: -24000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 225 = 4*u + l, 0 = -5*u - 2*l + 190 + 89. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 - -1) + -1 - -6. Suppose -z*q = q. Let k = -3 + 3. Solve t + k - 1 = q for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 3*c + 12 = 0, -v - 4*c + 3 = -0. Let f(l) = 2*l**3 + 2*l + 0*l + v*l**2 - l**3 + l**3. Suppose j + 2*j = -6. Determine f(j).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18391 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 3, -0.1041, -0.1, -142?\nAnswer: -0.1041","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 65\/(-15) - (-12)\/(-9)*-1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3\/2*m**2 + 1\/2*m**4 - 1 - 1\/2*m**3 + 5\/2*m = 0. Calculate m.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -746, -2108, -4082, -6668, -9866, -13676, -18098?\nAnswer: -23132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + y = 4*y - 11, -3*y + 1 = 2*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 12 (b) 0.1964 (c) 4 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**5 + i**3 - 1. Let y(p) = 2*p + 8*p**5 + 15*p**3 + 8*p**2 - 1 - 2 + 8*p**4 - 3*p**5. Let r(b) = 3*g(b) - y(b). Factor r(o).\nAnswer: -2*o*(o + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 2*g - 7 = 3*g, 0 = -5*i + 2*g - 25. Let s(l) = -5*l**3 - 4*l**2 - 2*l + 1. Is s(i) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 6) in base 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*r + 0*r - 5*r)*(0 + r**2 + 0) - 17*r**3 - r**3 - 2*r**3.\nAnswer: -18*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rik when three letters picked without replacement from ckrkihp.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**4\/2 + 50948*j**3 - 1297900299*j**2 + 2595647756*j - 2595596809\/2.\nAnswer: -(j - 50947)**2*(j - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 20\/2 - (-2 + 2). Let m(f) = -3*f + 11. Let n be m(o). Is (n*(-2 + 1))\/1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 27\/5 of a second?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 21 and -68.\nAnswer: -1428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3876 is divided by 66?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 4*m - 16 = 0. What is the units digit of 1\/(m - 2475\/(-1233))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20644 divided by -36.\nAnswer: -5161\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 393*x - 679*x + 79*x + 103*x + 69*x.\nAnswer: -35*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.77 (b) -1\/3 (c) 0.114 (d) 1\/6 (e) -0.4 (f) 2\/13 (g) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/10 of a kilogram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 + 47*s**2 - 4*s + 245. Determine b(47).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = r + r. Let f = r - 17. Suppose f = -3*l + 4*v + 1, -2*l + 2*v = 4. Which is greater: -1 or l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 84*d + 1. Let t be m(4). Suppose 25 = -8*q + 3*q, -4*q - t = -n. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 652 + -930. Let r = 2377 + u. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 1144 = -5*r - 3369, 5*r + 2*m = -2222. Which is smaller: -442 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.5 - 0. Let n = f - 0.3. Let b = 8381 - 8386. What is the closest to -0.1 in b, 4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 2*m + 42. Let s be w(-19). Let t = 0 + s. Solve -4*v - v + 5*g + 10 = 0, -t*v + 8 = -3*g for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2\/4 + 782639*k\/4.\nAnswer: -k*(k - 782639)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30*12\/270 + (-8)\/3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the second derivative of -5*b**4\/12 + 14*b**3\/3 - 52*b. Let w(n) = 2*n. Determine w(k(f)).\nAnswer: -10*f**2 + 56*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.068438 rounded to 4 dps?\nAnswer: -0.0684","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 2*o - 598, 5*q - o = -1945 + 2675. What is the remainder when 586 is divided by q?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 11 - 11. Which is the second smallest value? (a) d (b) 3\/5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 248620, 248625, 248630, 248635, 248640?\nAnswer: 248645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(98) - sqrt(98)*-2)*5)\/(sqrt(2) - (sqrt(288)*2 - sqrt(288))))\/((sqrt(5103)*1)\/(sqrt(63)\/(sqrt(21)\/sqrt(3)))).\nAnswer: -5*sqrt(7)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -332 divided by -4\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - -327262?\nAnswer: 327267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -1587*t**5 + 6049*t**4 - 4984*t**3 - 1832*t**2 + 528*t + 144 = 0. Calculate t.\nAnswer: -6\/23, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, d: 4, n: 10}. What is prob of picking 4 n?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + h + 1, 5 = 3*v - 5*h + 22. What is the smallest value in 2\/3, v, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 3*h + 5)*(16*h - 28*h - 30*h) to v + d*h + w*h**2 and give w.\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 222 is divided by 68?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j**(-1\/7))\/j**42)\/(j\/(j**(-34\/5)*j)*j\/j**(3\/16)))**(-6\/19) assuming j is positive.\nAnswer: j**(4311\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 2*p - 14 = 0, 3*j + 5*p + 5 = -0*p. Let q be (j - 0)\/(-3 + 2). Suppose -q*z + 627 = 2*k, -k - 512 = -4*z - 0*k. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 divided by 671749.\nAnswer: 14\/671749","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 + p + 2. Let o be t(0). Let z = 3 + 0. Solve h = -z + o for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - 9, -2*l - 3 = 17*i - 14*i. Solve -l*x + 4*d - 1 - 3 = 0, -d + 1 = -x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.22 + -0.13. Let r = k + 3.91. Let i = -0.36 + 0.36. Which is the closest to 0? (a) i (b) r (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 2789*z**2 - 6045*z. Let q(g) = 2787*g**2 - 6044*g. Let p(v) = 4*q(v) - 5*u(v). What is the second derivative of p(y) wrt y?\nAnswer: -5594","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -718*h**3*m - 713*h**3 wrt m?\nAnswer: -718*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**1\/y)\/y*y)**29*(y*y**4)\/y**(2\/17) assuming y is positive.\nAnswer: y**(576\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 h when two letters picked without replacement from hkedqff.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 15*k**3 - 2*k + 1. Let z(a) = -a**3 - 5*a**2 + 6*a + 2. Let f be z(-6). Let u be m(f). Calculate the greatest common factor of u and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 158, 101, 38, -31, -106, -187?\nAnswer: -274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-19\/3)*c**(-22) assuming c is positive.\nAnswer: c**(-85\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 3 + 0 + (0 + 3 + 2)*(2 - 2 - 2))*(642 - 900 - 858)*(4*w + w**3 - 2*w - 4*w**3) in the form g*w**3 + k*w + s*w**2 + i and give k.\nAnswer: 20088","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 303223 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 + 33*z**2 + 46*z + 448. Let c be h(-32). Solve -i - 5*v + 0*v - 23 = c, 0 = 4*i - 4*v - 4 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 82*u + 118214 = -80*u, -5*u = 3*x - 88678. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 + m - 1. Let r be i(-3). Let a be 6 - (36\/(-6) + 0). Solve -a = -r*k + k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 - 5*t**2 + 40*t + 5. What is q(-9)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -229 smaller than -229?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/l**(-2\/23))\/l*l**(3\/13))\/(l**(-4)\/l**(-8)))**43 assuming l is positive.\nAnswer: l**(-47343\/299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhsrxswrhhrxsqs. Give prob of picking 2 h.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of 5919*x**7\/7 + 2*x**3\/3 + 78*x**2 + 2*x + 4648. What is the third derivative of c(n) wrt n?\nAnswer: 710280*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -79 in 9, 1\/85, -31\/6?\nAnswer: -31\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 548 + 595 = 0. Suppose -62*v + h = -65*v. Let b = -38 - v. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((-1*sqrt(120) - sqrt(120))*1)\/(sqrt(16)*-5))\/((-1*sqrt(90))\/sqrt(9)*5*2) + -2)**2.\nAnswer: 2*sqrt(3)\/25 + 10003\/2500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 4*l + 15, -7*w + 5*l = -5*w - 21. Suppose 4*s = 5*k + 231 + 58, 0 = -4*s + w*k + 295. Is s a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7476622?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(833) - (-5 + 1 + sqrt(833)))**2*1.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1110 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 188 divide 10909481?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/(-4)*((-15)\/6)\/(-5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*w**3\/5 + 246*w**2\/5 + 3492*w\/5 + 5928\/5 = 0 for w.\nAnswer: -26\/3, -2, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -49, -145, -313, -559, -889, -1309?\nAnswer: -1825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 29\/2 of a millennium?\nAnswer: 1450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 108747394.\nAnswer: 1\/54373697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the third derivative of 0*y - 9*y**2 + 1\/24*y**4 + 1\/2*y**3 + 0. Let n(p) = p + 3. Calculate -3*n(w) + 2*u(w).\nAnswer: -w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 77921213 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -461, -468, -479, -494, -513?\n\"Answer: -2*x**2 - x - 458","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.09, 1\/9, 0.037265?\nAnswer: 0.037265","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1788 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((((w*w\/(w\/(w*w\/(((w\/(w**(2\/23)\/w))\/w)\/w*w))*w))\/w)\/w*w)\/w)\/w*w)\/w*w)\/w)**(-46) assuming w is positive.\nAnswer: w**88","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/(-10) + (3\/6)\/(3\/(-9)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 13, -2, 2041?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 369023.\nAnswer: 369023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3\/17 + 126*a**2\/17 - 258*a\/17 + 130\/17.\nAnswer: 2*(a - 1)**2*(a + 65)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 1895 divide 1626689051?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -14*a**2 - 45. Let b(k) = 761*k**2. Give m(b(h)).\nAnswer: -8107694*h**4 - 45","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 331918484?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 - 9*y**2 - 6*y + 8. Determine g(-8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7\/11 + 34\/33. What is the third smallest value in m, -2\/7, -5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.36993 rounded to one dp?\nAnswer: 10.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -55 (base 15) in base 3?\nAnswer: -2222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1658 + -1653. Solve -o*v = 3*p - 8, v + 3*p + 3 = -5 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 0.3, 1\/31?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19 + 21. Let y be b + -1 + (-6)\/(-3). Solve -h + s = -8, 0*h = 4*h - y*s - 29 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -16667 (b) 27 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 253 (base 11) to base 16.\nAnswer: 12c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94*f**3 + 32*f + 6*f - 64*f**3.\nAnswer: 30*f**3 + 38*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 7245569, 7245557, 7245545, 7245533, 7245521?\n\"Answer: -12*g + 7245581","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 533990635 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 18*z**2 - 23*z + 20. Suppose -2*q + 4*a - 22 = 0, -1 - 5 = -2*a. What is the hundreds digit of h(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -10*s**4 + 224*s**3 + 378*s**2 + 144*s = 0.\nAnswer: -1, -3\/5, 0, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 + 6*a**2 - 48*a - 253. Determine w(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in 2, 80, 0, -0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**3 - 199365*s**2 - 199380*s + 398740.\nAnswer: 5*(s - 39874)*(s - 1)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t + 299 = 331. Solve 5 + t = 9*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (58\/5)\/((-16)\/(-40))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -25.2627 - 73.733. Let c = -99 - z. Round c to three decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-40)\/(-25))\/(2\/35). Let p(j) = -j**2 + 28 + j - f. Let m(r) = 5*r**2 - 3*r. Suppose -90 = -45*y + 15*y. Give y*p(w) + m(w).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 1:42 PM?\nAnswer: 3:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -1758*g + 19318. What is d(11)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -876.4, -1\/3, -157, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -200 (b) 6 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 194 a factor of 20809?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 117*l + 128 - 128.\nAnswer: 117*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 0*u**2 + 5 - 6*u + u**2 + 12*u. Give h(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.05 equal to -27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 2 = 2*y. Let h(p) = -32*p - 1 + 35*p + 8*p**y + 5. Let n be h(-2). Calculate the highest common factor of 15 and n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/16*((-2229520)\/155)\/62?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 68 - 88 - (138 - -3) - (-23 - 0)?\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1638428 (base 9) to base 14\nAnswer: -19a304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.5613383 millilitres?\nAnswer: 0.0005613383","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 45 = -8 + 116. What is the remainder when 156 is divided by f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = y - 1, 3*r - 10*r - 2*y - 58 = -7*r - 2*r for r.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 88*d**3*t**3 - 3*d**3 - d**2*t**2 - t wrt t.\nAnswer: 528*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1.081416 (b) -0.4 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*r**3 - r**2 + 0*r**2 - 2*r**3 to q*r**2 + k*r**3 + z + f*r and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -2*c - 2 + 0*c + c + 0*c. Let x(n) = 2*n + 3. Let b(u) = u**2 - 6*u + 3. Let d be b(6). Let a = -1 - d. Give a*m(t) - 3*x(t).\nAnswer: -2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 1. Suppose -2 = z + z. Let u be z*1\/(-21)*3. Which is the third smallest value? (a) u (b) k (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4653\/8? (a) 0.1 (b) -5 (c) -41 (d) 5 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) -5 (c) -1 (d) 11472004\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - 1. Let v = m + 5. What is the biggest value in v, 0.4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 - -12. Suppose f = b - 0*b - 4. Let p = b + 10. List the prime factors of p.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 4*q - 306 = 0, -3*q + 1 = -4*q. List the prime factors of r.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 146 in 625\/27, -0.5, 5?\nAnswer: 625\/27","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14 + 120?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-38)\/3*186\/224. Let q = t + 57\/7. What is the common denominator of 25\/7 and q?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**3\/6 - 1001015*i**2\/6 + 8351843300*i - 158624800680.\nAnswer: 5*(i - 100092)**2*(i - 19)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -6351 divided by 3?\nAnswer: -2117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19 - 14. Suppose 3*n = -0*n - k*b + 93, 37 = 2*n - 5*b. Suppose g + n = 2*g. What is the remainder when g is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -5*s + 14. Suppose -m = s*p + 6, -p = -0*p + 4. Let x = -8 - -5. What is the third biggest value in -5, m, x?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2343 (base 5) to base 15\nAnswer: -183","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 PM and 10:53 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -2*u**3 - 6*u**2 - 27*u - 72. Let g = -5 + 11. Calculate the remainder when o(-3) is divided by g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 75993 + 166*m - 75993 to z + a*m and give a.\nAnswer: 166","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**3 + 40*c**2 - 234*c + 324.\nAnswer: -2*(c - 9)**2*(c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 - 4)*(-30)\/7. Calculate the highest common divisor of 20 and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q - o + 7204, 3*q + 7188 = 7*q - 3*o. What is the thousands digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -156352, -156509, -156666, -156823?\nAnswer: -156980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144405 = -103*h + 257742 - 86967. Does 34 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 3*s - 0 - 6, -2*w + s + 14 = 0. Let m be (w\/(-6) + 0)*4. Let o be (-4)\/m - 32\/12. Sort 3, o, -4 in ascending order.\nAnswer: -4, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, 6, -37, -98, 3 in decreasing order.\nAnswer: 6, 3, -1, -3, -37, -98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-1 + 5 + sqrt(242)*-2)**2.\nAnswer: -528*sqrt(2) + 2952","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = -25*l + 129. Solve 6*z - 11 = l for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 AM and 7:27 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 24 = -4*l - 12, 6 = 2*l - 3*d. Put 0, l, 6, -2 in descending order.\nAnswer: 6, l, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 14\/99, 3, 0.2, -4.5, 0.8, 2, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 108\/2 - (31 + 65)\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.34 - -2. Let k = 0.1907 + 0.6693. Let s = k - y. What is the third smallest value in -5, -0.4, -1\/2, s?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4\/7 (b) -1015 (c) -0.4 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 201, 0, 0.3, 11320?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12997?\nAnswer: 41, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i**2 - 1413686*i = 0. What is i?\nAnswer: -706843, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*l - 28 + 2 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 4 = 1. Suppose j*t - 2*t - 6 = 0. What is the units digit of (2 + -1)\/(2\/t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -0*o - 5. Suppose 3 + o = -2*l. Let y(z) = -4*z + 8. Is 8 a factor of y(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 4*o - 1, -4*o + o - 13 = -5*j. Let q(h) be the second derivative of h**5\/20 - h**4\/3 - 7*h**3\/6 + 3*h**2 - 5*h. What is q(j)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/15 (b) 0 (c) 4\/95\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2809951 divided by 1\nAnswer: 2809951","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 - 12*s - 10. Let x be t(11). Let i be 308\/x*3\/(-2). Let a = i + -13. Does 9 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 85614700 to the nearest one hundred thousand.\nAnswer: 85600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 0 + 7)*(-3 + 6 - 4)*(3*n**2 - 2*n**2 + 0*n**2 + (2*n + 4*n - 4*n)*(-n - 2*n + n)) in the form h + u*n**2 + c*n and give u.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuuu when four letters picked without replacement from uuuu.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 130564.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -2155*y + 12930. What is h(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -5*f**3 - 2*f**2 + 5. Let q(g) = -12*g**3 - 5*g**2 + 11. Let p(u) = 7*m(u) - 3*q(u). Calculate p(-3).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 6:51 PM?\nAnswer: 9:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -247 > -248?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 47883.17 + -47881.5700088. Let x = d - 1.6. Round x to 6 dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/(-5) - 3\/(-5). What are the prime factors of -4*(-1 + (-1 - a))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -575225*b**3*s**2 - 3*b**2*s + 2*b*s**2 - 3*b*s - 19416 wrt b?\nAnswer: -3451350*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 25 - (427 + -455)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16 - -10. Let c = n - -6. What is the second biggest value in c, -3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-1 + sqrt(1088) + 1))**2.\nAnswer: 1088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*p = -31*p + 400. Let u be (6 - (-4)\/p) + -5. Which is the third smallest value? (a) -2 (b) -3 (c) u (d) 1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -631.5696 or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -19 (b) 4\/3 (c) -1\/4 (d) -5\/8 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -97975, -195381, -292787, -390193?\nAnswer: -487599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 + -1 + 4)*-3. Let r(u) = -73*u + 580. Let l be r(8). Suppose 0 = -3*n + 7*n - 4. Which is the closest to n? (a) x (b) 4\/7 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 8*g**3 + 292*g**2 + 2480*g + 1188. Let z(s) = s**2 + 2*s + 2. Let c(o) = b(o) - 16*z(o). Find k, given that c(k) = 0.\nAnswer: -17, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-15)\/((-6)\/4 - 0). Suppose 5*m - 65 = -5*a, -165 = -m - 5*a - 180. What is the greatest common divisor of k and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 221101101 - -1120?\nAnswer: 221102221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -210\/137 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, 0.4, 86 in descending order.\nAnswer: 86, 0.4, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g**2 - 419738*g + 419740 = 0. Calculate g.\nAnswer: -209870, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 224 - 381. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 10 - (151 + -152)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 41 = -4*p + 75, -4*s + 84 = 4*p. What is the highest common divisor of p and 1035?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21982199?\nAnswer: 89, 367, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 534199 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 5*g + 2*g = 15, -6 = 3*g. Let m(t) = t**3 + 2*t**2 - t + 1. What is m(w)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23788 - -23811. Which is the fourth smallest value? (a) 71 (b) 3 (c) 1\/5 (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.568 to 1 decimal place.\nAnswer: 2.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (90\/672)\/(555\/(-444))*-2*2\/1?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - r = -24, 0 = b + 3*b - r - 12. Suppose -m + 70 = 5*a + 2*m, 0 = -5*a + b*m + 70. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10113320 (base 5) to base 11\nAnswer: -56950","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -300*r. Let m(k) = 212*k. Calculate m(a(s)).\nAnswer: -63600*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -3\/4 (b) -3 (c) 0.06 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4543269?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the third derivative of m**4\/12 + 13*m**3\/6 - 163*m**2 - 1. Let z(y) = 3*y + 26. Determine 5*f(p) - 3*z(p).\nAnswer: p - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -6*n. Let b(h) = -3*h**2 - 4*h. Let y(o) = o**2 + o. Let r(w) = -b(w) - 4*y(w). Determine j(r(c)).\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n - 1. Let d be -4 - (-32)\/4 - 2. Let u(z) = -2*z - 4. Determine d*u(t) - 6*y(t).\nAnswer: 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28 and 32076086?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-96)\/12*10\/(-8). Calculate the highest common divisor of 40 and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 51976?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -82 + 116. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 85.9 + -85.92. Which is the closest to 10\/13? (a) w (b) 3 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*d**2*i**4 + 15*d**2*i**2 - 1721*d**2 wrt i.\nAnswer: -8*d**2*i**3 + 30*d**2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 4*h**3 - 3*h - 2. Let x be (-1)\/3 - (-13)\/3. Suppose -14*w + x*w = -30. Let d(u) = 3*u**3 - 2*u - 2. Calculate w*d(o) - 2*f(o).\nAnswer: o**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + 1000100101110011?\nAnswer: 1000100101110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 - (-1500)\/(-18))\/(4\/(-6)). Suppose -4*m - 4*c - h = -757, -5*m = -5*c - 760. What are the prime factors of m?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 - 14*s + 40. Let h be o(11). Suppose -2*u - h = z, -4*z + 2*u - 16 = -2*u. Which is the fourth biggest value? (a) 1\/6 (b) -1\/5 (c) z (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 2 = 1. Suppose 0 = -4*j + 3*p + 9, 0 = 5*j - j - 2*p - 6. Sort z, 4, -1, j in decreasing order.\nAnswer: 4, j, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.1, -1, 0.3, 0.004, -19, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13 - 35) + (8 + -5 - -5)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-16)\/(-14) + (-10)\/(70\/(-237)) and 833?\nAnswer: 4165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -4*r**3 - 4*r**2 - 4*r - 363. Let h(c) = -2*c**3 - 2*c**2 - 2*c - 181. Calculate -7*h(o) + 4*y(o).\nAnswer: -2*o**3 - 2*o**2 - 2*o - 185","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1156 is divided by 544.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 2*t = -2 - 0, 3*g - 1 = t. What is the nearest to g in 4, 3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3748881, 7497756, 11246631?\n\"Answer: 3748875*v + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -666*o - 39975 + 30090 = 45393 for o.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 - 75*d**2 - 193*d + 6475. Determine z(-71).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2 + 10*c. Let u = -282 - -273. Calculate l(u).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 14722, 14353, 13984, 13615, 13246?\n\"Answer: -369*m + 15091","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107 = 4*z - 221*b + 214*b, 2*b - 38 = 3*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 + 10*v**2 - 12*v + 3. Calculate the remainder when 40 is divided by h(-11).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -9*i + 11. Suppose 0 = -2*z - 26 + 52. Suppose 31 - z = -6*f. List the prime factors of v(f).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*-464.74.\nAnswer: 92.948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 - c)*(2*c**3 + c**3 + 0*c**3) - 2*c**4 + 0 + 0 - 2*c**4 + 7*c**4 - 3*c**4 in the form p + l*c**3 + k*c**4 + j*c**2 + o*c and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 - (-8 + 6)) + (1 - 1). Let m(p) = p - 3*p + 3*p**3 + 4*p**c - 3*p**3 + p**3. Give m(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (98 + -39 - -19) + -46\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, s: 4, m: 2, u: 9}. What is prob of picking 1 s, 1 u, and 1 m?\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-50)\/15*-4*12\/40. Suppose -2*b - 27 = -5*i, 4*b + 4 = i - 5. Solve -i = c*x + x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1.55 or -8?\nAnswer: -1.55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51889 is divided by 3983.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:37 AM and 11:05 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 AM and 11:20 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 694298132 to the power of 1\/2, to the nearest integer?\nAnswer: 26350","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 259\/91 + -3 - (-84)\/39. Let y(i) = -188*i**4 - 155. Let j(h) = -188*h**4 - 154. Let s(z) = w*y(z) - 3*j(z). What is the derivative of s(o) wrt o?\nAnswer: 752*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 100*s - 95*s + 4*x + 35, 4*x + 7 = -s for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 459\/(-102) - ((-14)\/12*450\/(-350) + -1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -139, -261, -391, -541, -723, -949, -1231?\n\"Answer: -2*p**3 + 8*p**2 - 132*p - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4 - ((-17)\/4 + 0). Is 13 less than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -9. Suppose -9*s = -u*s - 180. Calculate the highest common factor of s and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-33)\/(-44)*(5 - 1). Solve 7*d + 20 = r*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -0.3 (b) 2 (c) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102221 + -10102202201?\nAnswer: -10110012122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, 4, 1.68, 0.1.\nAnswer: 0.1, 1, 1.68, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 12 = d, -2*d + 9 - 7 = 0. Suppose -r - 2 = -2*r. Suppose 28 = 6*z - r*z. Calculate the remainder when j is divided by z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-8)\/(-28))\/(-1 - -3). Let y = 2622 + -13114\/5. Let d = 0.3 + -0.8. What is the biggest value in g, d, y, 0?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -28747\/21 - -4105\/3. What is the closest to -0.5 in -0.026, -0.1, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1053) + 2 + -4)**2.\nAnswer: 72*sqrt(13) + 4216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 68551758227 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 259804?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/648 and -8\/2835.\nAnswer: 22680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 14243?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9 - 9 + 5*d - d - 3*d + 3 + 2*d + (d + 0*d - 3*d)*(-2 - 4 + 4).\nAnswer: 7*d + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2080 and 480.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z**3\/4 - 1909*z**2 - 45847*z\/4 - 19105\/2 = 0. Calculate z.\nAnswer: -5, -1, 7642","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20108?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-7))\/u**(-2))\/((u*u**(4\/7))\/u**0) assuming u is positive.\nAnswer: u**(-39\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23267783 and 1232?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/5)\/(2\/(-30)). Suppose l = 4*l - 9. Solve f = -l*x + 15, 4*x - 32 = 4*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -67 (b) 0.03 (c) 2 (d) -4 (e) 0.1 (f) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 306818?\nAnswer: 2, 153409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -69 + (13 - 16 - -9) - -13.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28\/49 - (-6)\/(-14).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (53 - 46) + 164\/(-123).\nAnswer: 17\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 148 = f + 2*f, 5*b - 5*f - 180 = 0. What is the tens digit of 30\/(-2)*b\/(-20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 518087673?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -522438040 by 67955.\nAnswer: -7688","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 226307611 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + z = -249, -3*m - 6*z = -2*z - 154. What is the highest common divisor of m and 75?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(3\/5)\/c**(-3\/7))\/(c\/(c*c*c*(c*c**(-5))\/c*c*c)*c**7*c)*(((c*c**2)\/c)**(-12\/11))**(13\/4) assuming c is positive.\nAnswer: c**(-5799\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -15903.436 and -0.4.\nAnswer: 6361.3744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 729, 652, 561, 450, 313, 144, -63?\n\"Answer: -z**3 - z**2 - 67*z + 798","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 - 5*l + 1. Let r be w(-6). Let o be 10\/6*(-5)\/2. Let y = 269\/66 + o. Which is the third biggest value? (a) y (b) r (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4113*b**2 - 17 - 409*b**2 - 4.\nAnswer: 3704*b**2 - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6469511563 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -16*k - 16. Let p(n) = -3*n - 3. Suppose -4*b = -5*a + 26, -a - 2*a + 2*b + 16 = 0. Determine a*x(v) - 33*p(v).\nAnswer: 3*v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.7 * 1.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1155)\/2322 - (1 - (-39)\/(-26)). Is 0 at most as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 u when three letters picked without replacement from huhup?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.4 (b) -1 (c) -5 (d) -2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -19*(-1 + -18)*1. Let s(h) = -h**3 + 2*h**2 + h + 1. Let a be s(2). Suppose 4*o + f = a*z, 5*o - 152 = -0*z - z. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*z - 84791 - 24915 = 59938. What is the ten thousands digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 15, 2*k - 125*l + 130*l = -21. Solve -k*h = -1 + 1 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4651050.2 to the nearest 1000.\nAnswer: -4651000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3201283 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 4:10 AM?\nAnswer: 12:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -47 + 80. Let y be (3\/2 - a\/6) + 7. Suppose y*o = -2*o + 490. Does 40 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 165849497 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -94311816\nAnswer: 1\/94311816","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**4\/q)\/(((q**(14\/9)\/q)\/q)\/q)*q**0*(q\/(q**11\/q))\/q*q)**13 assuming q is positive.\nAnswer: q**(-533\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + -1. Let v be (t - (0 - 1)) + 1. Let f be 7020006\/(-27) - v\/(-18). Round f to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(408) + 2*sqrt(408))*2)\/(((sqrt(1728)*2 + sqrt(1728) - sqrt(1728)) + sqrt(1728) - sqrt(1728)) + sqrt(1728)))\/((-1*-2*sqrt(200) + sqrt(200))*-2).\nAnswer: -sqrt(17)\/360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.01 (b) -2.1 (c) 2.7 (d) 1\/2 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16922 + 16924. Which is the closest to -173? (a) -7 (b) -4 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1433, 20, 2 in increasing order.\nAnswer: 2, 20, 1433","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6311388 to the nearest integer?\nAnswer: 2512","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -853 - -858. Sort v, 0, -10 in descending order.\nAnswer: v, 0, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 377, 760, 1159, 1604, 2125?\nAnswer: 2752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.484 from -824429.\nAnswer: -824429.484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 - 20 - (1 - -1 - 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 77 + -60. Calculate the remainder when i is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -18*u. Let m(p) = 10550*p**2. What is m(y(r))?\nAnswer: 3418200*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 AM and 10:10 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 + 8.3. Let o = -3 - -2.6. Sort o, n, 3.\nAnswer: o, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 5*w + 3, -35*r + 36*r - 11 = 5*w. Sort -12, w, 0 in increasing order.\nAnswer: -12, w, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 36\/7, 0.2, -0.5, 2\/9, -9\/5, 28.53?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of -o**2\/2 - 4*o + 2. Calculate r(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*i**2 + 203018*i - 203018*i.\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 + n - 1. Let m(k) = -12*k**2 + 11*k - 12. Suppose 4*j + 86 = -3*w, -10*w + 3*j = -14*w - 103. Give w*r(i) + 2*m(i).\nAnswer: -2*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*v - 97 - 11 = 67. Suppose 3*n = 2*n + 47. Calculate the remainder when n is divided by v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104016 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 425907?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21677.\nAnswer: 53, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 + 7*l - 5. Suppose 0 = -5*g + 26 - 1. Let j be y(g). Determine a so that 4*a**4 + 30\/7*a**j + 6\/7*a - 36\/7*a**3 + 4\/7 - 32\/7*a**2 = 0.\nAnswer: -1, -1\/3, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2790)\/90 - (-21 + 7)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence if when two letters picked without replacement from {i: 1, f: 2, e: 9, y: 1}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44 - 39 + 135 - 39*y - 48.\nAnswer: -39*y + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -2*v + 80. What is the remainder when v is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 + 3*h**2 + 7*h - 5. Let q be f(5). What is the second smallest value in q, 1, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -5*y + 22. Let p(j) = -7 + 16*j - 7*j + 20 + 6*j + 2*j**2. What is the remainder when p(-8) is divided by y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1146\/11 greater than -104?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 12*c**2 + c. Let q be r(1). Let a(j) = j**3 - 11*j**2 + 15*j + 31. Let y be a(q). Suppose 5*p - y = -199. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 356*u**2 + 272*u**2 - 2 - 630*u**2 + 2.\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 822 divide 276513239?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2965\/77 - 267\/7. Let b = 1122 + -146. Let g = 975 - b. Does g = f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 + 1 - 8\/4. Let z(o) = 8*o + 9. Let g be z(w). Let a = g + -30. Calculate the smallest common multiple of 6 and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 237.9 - 238. Which is the second biggest value? (a) -5 (b) u (c) -0.01 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4a64 (base 14) to base 5\nAnswer: 404044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 - 1 + (-2 + 3 + 1)*(1 - 2 + 0) - 3 + 3 - 2 - 2 + 2 + 2)*(-3*y + 2*y - 86 + 90).\nAnswer: 4*y - 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -64785.68887 to the nearest one thousand.\nAnswer: -65000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-80)\/(-36))\/1 - (-2)\/(-9). Let h(y) = 7*y - 6 + 5 - y + 0 + y**t. What is h(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 61, 74, 95, 124, 161, 206, 259?\nAnswer: 320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**1)**(-2\/39)*(d\/d**(2\/7)*d)\/d**(-1)*d**(3\/5)\/(d\/(d*(d\/(d**0*d))\/d))*(d*(d*d**1)\/d)**(-12) assuming d is positive.\nAnswer: d**(-29741\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2 + 2*x - 3. Let b(d) = -d**2 + 12*d - 15. Let v be b(11). Let o be q(v). Solve 0 = -o*k + 7 - 2 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 AM and 11:35 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2798 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2437 + -2441.955. Let z = f + 4.8. Round z to 2 decimal places.\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2488463921 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127852*b - 144 = -2*m - 255705*b + 127848*b, 5*m - b = -18 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12004437 and 1284.\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47 + 14 + 33 + 34020*m.\nAnswer: 34020*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126*w + 3601 + 8130 = -5495 + 3240 for w.\nAnswer: -111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -2 (b) 6 (c) 1258\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -5*n - 4285, 5*r + 1784 = 4*n + 5221. Let d = n + 8517\/10. Let t = -3235\/2926 + -79\/77. Calculate the common denominator of t and d.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -4*q - 8. Let r = -8 + 5. Let u be o(r). Suppose a = -3*s + 8, 3*s + 2*a - u = 3*a. Solve f - s*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (-5 - -9) + (7 - 6) + -25\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2832.5 rounded to the nearest 10?\nAnswer: -2830","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 388377 and 39.\nAnswer: 5048901","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -39*q + 34*q + 35. Let n(t) be the second derivative of 2\/3*t**4 + 0 + 0*t**2 + q*t - 7\/6*t**3. Find the second derivative of n(y) wrt y.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-520)\/30)\/(-13))\/((-4)\/(-21)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/n**(-1\/4))\/n*n*n**(-2\/17)*n**(1\/5)\/n**(-2\/11))\/((n\/(n\/(n**2*n)*n)*n**(1\/3)*n*n)\/(n**2)**(-11\/5)) assuming n is positive.\nAnswer: n**(-69779\/11220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 9*x**2 - 4*x + 3. Let s(d) = -2*d + 2. Let b be s(-1). Suppose 0 = 2*j - 2 - b. Let z be g(j). What is the highest common divisor of 18 and z?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**3 - 26*f**2 + 56*f + 736. Determine t(22).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23630, -47158, -70802, -94556, -118414, -142370?\nAnswer: -166418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 1 = -3*x + 20, -2*m + 12 = x. Let y be 717\/m - 4\/10. Suppose -k + y = -5*q, 0 = -5*k - 0*q - 5*q + 685. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-44)\/(-36)*3*(-13908)\/1159?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 4*c = c - 326, 5*w - 815 = -5*c. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 6:37 PM?\nAnswer: 8:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-10 - -3 - -5) + 6. Suppose -r + 5 = -s*t + 4, t - r = -1. Let j be (-8)\/(-16)*(-8)\/6. Which is the fourth biggest value? (a) t (b) j (c) 5 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/756 and -41\/108.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*t**4*z - 218*t**2*z**2 + 3*z**2 + 13*z with respect to t.\nAnswer: -24*t**3*z - 436*t*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of 5039*g**4\/4 - g**2 + 1686*g - 8434. What is the second derivative of u(w) wrt w?\nAnswer: 30234*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6036063 and 96657?\nAnswer: 3333","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 59*a**2 - 6*a - 3. Let n be 43\/(-5) - (-24)\/(-40)*-1. Is o(n) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*a**4 + 16*a**3 + 24*a + 4 wrt a.\nAnswer: -24*a**2 + 96*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5702 <= 5746?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (38 + -29) - -34.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 3*j**3 + 3*j**2 - 2*j. Let a(z) = -13*z**3 - 13*z**2 + 9*z. Let m(h) = 2*a(h) + 9*l(h). Determine c, given that m(c) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-33)\/3)\/(90\/8*11*28\/1386).\nAnswer: -22\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 98380, 393375, 885026, 1573327, 2458272?\nAnswer: 3539855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -658370 bigger than -658375?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (220*d**2 + 85*d**2 - 88*d**2)*(-2*d + 2*d - 2*d**2) + 6*d**2 + 2*d**4 - 6*d**2.\nAnswer: -432*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100211 - -10?\nAnswer: -100201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 1 + 2. Let n(s) = -s**2 + 8*s + 12. Let k be n(9). Suppose -5*v + 1 = -k*x, -4 - 2 = 4*v + x. Sort l, 3, v in increasing order.\nAnswer: l, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 134*x**2 - 111*x - 741. What is the thousands digit of f(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -3*j**2 - 11*j + 4. Let l be z(-5). Find the common denominator of 35\/11 and ((-25)\/20)\/((-18)\/l).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 766.3682t?\nAnswer: 766368200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 24*z**2 + 5*z. Determine f(-2).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(1539) - ((sqrt(1539) - 1*sqrt(1539)) + -5))**2 + 0.\nAnswer: -4692 - 270*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkkksskok. What is prob of picking 3 k and 1 s?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 11825 (base 10) to base 3\nAnswer: 121012222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1490?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 11001111010011000100100 (base 2) to base 6\nAnswer: 401331512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 153019?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (306*y - 26*y**2 - 306*y)*(2 - 2 - 8*y**2).\nAnswer: 208*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*n - 125*n**3 + 0*n + 129*n**3 + 3*n - 2*n + n**2 - 1 to the form q*n**2 + c*n + i*n**3 + t and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 12:56 PM?\nAnswer: 6:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1209, 1190, 1157, 1104, 1025, 914, 765, 572?\nAnswer: 329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 71800 - -21386. List the prime factors of a.\nAnswer: 2, 3, 31, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 255440 and 5139800.\nAnswer: 1240","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -5*v + 40, 0 = 5*v - 3*v - 2*g. Let h = 5 + v. Let o be ((-4)\/6)\/((-6)\/h). Solve m - o = -6 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -13116852*j + 76104787?\nAnswer: -13116852","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 78 + (40 - 24) - (8 - (0 - 3))\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 11, b: 3}. Give prob of sequence buu.\nAnswer: 55\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5478592838 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of u**3 + 13*u - 2667. Determine a(5).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zdzd when four letters picked without replacement from {q: 2, d: 6, z: 2, n: 1}.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -35*w**3 - 2*w**2 + 1. Does 19 divide r(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of 0*r + 0*r**3 + 1\/2*r**4 - 4 - r**2. Factor k(m).\nAnswer: 2*m*(m - 1)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8347475 divided by -132\nAnswer: 8347475\/132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (-3)\/2) + 1584\/(-96).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c7664 (base 15) to base 5.\nAnswer: -130220234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 3*o**2 + 617*o + 625. What is f(-1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5410899240924 + 1767562222333118734\/326667. Let c = 4\/29697 - z. Let f = -8023\/1353 + c. Find the common denominator of -107\/6 and f.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of u**10\/1008 - u**6\/120 - u**3\/3 - 3. Let z(f) be the third derivative of a(f). What is the third derivative of z(q) wrt q?\nAnswer: 600*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.8299762 - -0.83. What is i rounded to six dps?\nAnswer: 0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -397, 111, -0.3, -3\/2, -4 in increasing order.\nAnswer: -397, -4, -3\/2, -0.3, 111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m**5 - 32*m**4 + 313*m**3 - 1070*m**2 + 1468*m - 680 = 0. What is m?\nAnswer: 1, 2, 10, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the second derivative of -1\/20*y**5 - 7\/2*y**2 - 2 + 1\/6*y**3 - 39*y - 1\/3*y**4. Give a(-5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kww when three letters picked without replacement from bnnwnnbnnnnnvnbwknnn.\nAnswer: 1\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6027*g - 6001*g - 208 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2443 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 41 (base 10) to base 12\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72189*z**3 + 31907*z**2 - 31907*z**2.\nAnswer: -72189*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 5 = 25 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -86604 divided by -7217?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6405*j = 6400*j + 140. What is the greatest common factor of j and 2142?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 - 26. Let a be 1\/3 - 25\/t. Find the second derivative of -3*j**3 - 2*j**3 - 13*j - a*j**3 + 3*j wrt j.\nAnswer: -42*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 + 7*w**2 - 5*w - 4. Let r(a) = -a**2 + 23*a - 98. What is the least common multiple of t(6) and r(12)?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w**4\/4 - 2*w**3 - 9*w**2\/2 + 27\/4 = 0. What is w?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1978792887?\nAnswer: 3, 251, 2627879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -14, -96, -232, -422?\n\"Answer: -27*x**2 - x + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1088?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 643?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 8060742291?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from gmgmgzggmgzmmzmmggmz.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.3 + 0.8. Sort -3, x, 1 in descending order.\nAnswer: 1, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1702\/8 + (-39)\/(-12) + -4. Suppose -w = -3*x - 425, 2*w - 654 = 2*x + y. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 0. Let b = -367 + 367.6. Is b at least as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*s + 219 = -33 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 5, i: 1, s: 1, t: 5, l: 1, j: 1}. Give prob of picking 1 t, 1 o, 1 i, and 1 l.\nAnswer: 25\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 80424535 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -6*y**2 + 6*y + 2. Let o(i) = -19*i**2 + 11*i + 2. Let v(n) = -35*n**2 + 21*n + 4. Let j(b) = -7*o(b) + 4*v(b). Calculate 3*j(t) - 4*z(t).\nAnswer: 3*t**2 - 3*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2458396.57 rounded to the nearest ten thousand?\nAnswer: -2460000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*-0.2.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -282 = -55*p + 49*p. Let x = p + -12. Is x a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 38 + -46 - 24\/(-3). Sort f, 190, -3.\nAnswer: -3, f, 190","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - (-84 + (64 - -78)).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 3604?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19055.9 - -19056. Let k = -0.09 - -0.2. Let i = k - -3.89. Which is the second smallest value? (a) -3\/5 (b) i (c) 0.06 (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2 - 146979*w - 146980.\nAnswer: (w - 146980)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 67216 and 944.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1))**7\/(((q\/(q*q**(-3\/4)\/q)*q*q)\/q)\/q)**(-33\/7) assuming q is positive.\nAnswer: q**(5\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.196015825 to 3 dps.\nAnswer: -0.196","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than -1\/1595?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 10:39 AM?\nAnswer: 6:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 + 581*y**2 + 42699*y - 193. Calculate q(-66).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-30))\/((-103)\/618)*(-1)\/2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 985 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7.5 - 11. Let r = 1 - -3. Let v = m + r. What is the nearest to 0 in -0.1, -1\/7, v?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (-1*sqrt(208)*5 - (((-2 + sqrt(208))*-6 - sqrt(208)) + sqrt(208))))**2 + -2.\nAnswer: -112*sqrt(13) + 402","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1111001110010110110 (base 2) in base 13?\nAnswer: -1460b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -32 and 0.7540444?\nAnswer: 32.7540444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -7.58 * 19\nAnswer: -144.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 21? (a) 79 (b) 222\/11 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 145645496?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 10*2\/(-18) - (-13 + 21847\/1827)\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -19941140 to the nearest ten thousand.\nAnswer: -19940000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 AM and 11:27 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -11.98+-0.01088\nAnswer: -11.99088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**2 + 7*p - 8. Suppose 0 = -5*s + 25, -d - 4*s + 12 = -0*d. What is z(d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2444798177 to four dps.\nAnswer: -0.2445","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is one ninth of a week in minutes?\nAnswer: 1120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -382, -1475, -3290, -5821, -9062?\n\"Answer: u**3 - 367*u**2 + u - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - 562a?\nAnswer: -5627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 88*q*u**2*y + 93*q*u**2 - 21*u**3*y**2 - 9*u**3 with respect to y.\nAnswer: 88*q*u**2 - 42*u**3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -g*o*s + 2*g - 10*o*s - 10*s + 5 wrt o?\nAnswer: -g*s - 10*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.26197 to three decimal places.\nAnswer: 0.262","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 44595975 divided by 8919195?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w**2\/6 + 4*w\/3 + 14 = 0.\nAnswer: -6, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -3 times 290\nAnswer: -870","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/(0 + 2) + 2. Let d(u) = -u**2 - 140*u - 11. Let a be d(0). Put -2, -5, a, x in descending order.\nAnswer: x, -2, -5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101100000010001 (base 2) in base 15?\nAnswer: -6a30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - 2. Let y be ((-4)\/(-24))\/(-3 - -4). Which is the second biggest value? (a) -1\/4 (b) i (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 7 = -6. Let f be a - 2*(-11)\/2. Let x be f - ((-3 - -3) + -1). What is the highest common factor of 52 and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -589*w**5 + 29737*w wrt w.\nAnswer: -11780*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/10 (b) 5 (c) -4 (d) -3.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -77*(-2048)\/7313152*14\/(-4).\nAnswer: -4\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 87 - 28. List the prime factors of i.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-14)\/(-2)*-1 + -3. Let s(d) = -d**2 - 9*d + 14. Let b be s(g). Solve -t + 0 = -b for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1025 + -1024. Which is the closest to -0.1? (a) g (b) 9 (c) 5 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 - 10*q**2 - 15*q - 30. Let w be g(-9). Solve 0 = 3*s - 5*f + 22, 0 = -5*s + 3*f - f - w for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/1464 and -65\/64.\nAnswer: 11712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -233 and -0.5?\nAnswer: 116.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a + h + 24452 = 0, -a - 10*h + 3045 = -13*h. Calculate the greatest common divisor of 3 and a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*n**4*w + 118857*n**4 - 4*n**3*w - n**2*w - 2*n**2 - 4347*n + w + 13 wrt n.\nAnswer: 144*n*w + 2852568*n - 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*f - 1 + 1)*(-1 - 1 - 2) + 0 + 0 - f + (2*f + 1 - 1)*(-1 + 3 - 1) - 11541 + 206*f + 11541 as m*f + y and give m.\nAnswer: 215","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (123*g**3 + 3468 - 3468)*(3*g - 4*g + 2*g).\nAnswer: 123*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -182386 + 1130334 = 12473*l for l.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + 15 = -3*g. Suppose -3*i + 1891 = g*s + i, 3*i - 1134 = -3*s. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*g + 9*g - 120*g + 1400 for g.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*f - 8*f - 3*f**3 + 0*f**2 + f**2 + 0*f.\nAnswer: -3*f**3 + f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -6*t + 315. Let p be f(53). Put 0, 14, p, -2 in descending order.\nAnswer: 14, 0, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of j**2*k - 2*j**2 + 22*j*k**2 + 210 wrt k?\nAnswer: j**2 + 44*j*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2382\/8 - (-10)\/40. Let o = q + -227. Calculate the remainder when 638 is divided by o.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**4)**(4\/9)*i**7\/i*i**(-14) assuming i is positive.\nAnswer: i**(-56\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1645?\nAnswer: 5, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109362 is divided by 109093?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 21 in 98, -0.2, 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 84433 and 69.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i**2 - 2*i**2 + 0*i**2)*(-3*i**2 + 2*i**2 + 3*i**2 + (2*i + 4*i - 4*i)*(0 + 0 - 2*i)).\nAnswer: -2*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of -13*k**3\/6 + k**2\/2 - k. Let o be (-1)\/((3 + -2)*1). List the prime factors of h(o).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5770453607 to the nearest integer?\nAnswer: 1794","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - (-43 + 16 + 17).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -171*n**2*q**3 - 578*n**2*q + 7*q**3 wrt q?\nAnswer: -1026*n**2*q + 42*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o**3 - 1856*o**2 - 7376*o - 7360 = 0. Calculate o.\nAnswer: -460, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d**2 - 2*d**2 - 3*d**4 + (0 + 4 + 0)*(-2*d**4 + 4*d**3 - 4*d**3).\nAnswer: -11*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oocoocfofqcfoo. What is prob of sequence qof?\nAnswer: 1\/104","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 475022 and 3270?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 PM and 9:12 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vkrrvrvrvdd. Give prob of picking 2 r and 1 v.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**4\/3 + 19*z**3\/3 - 25*z**2\/3 - 103*z\/3 - 20.\nAnswer: (z - 3)*(z + 1)**2*(z + 20)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -223507.\nAnswer: -1\/223507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in -3, 1\/4, -2\/9, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*u + 258 = 2*u - 367 for u.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 3*l + 6. Suppose 0 = -97*m + 33 - 227. Let f(y) = 4*y + 6. Give m*f(a) + 3*b(a).\nAnswer: a + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/5*(-6 - -16). Suppose -7*u + p = -3*u. Suppose 2*j - 52 = -u*q, 6 - 102 = -5*j + q. Solve 0*v = 4*v + j for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - r - 151 = -5*s, -2*r = -s + 23. Suppose -339 = -4*x + s. What is the tens digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 - 17*d**2 + 14 - 28.\nAnswer: -17*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 - 12)*27\/18.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13464 (base 8) in base 6?\nAnswer: -43300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = -4*y - 34. Let v = 18 + y. What is the least common multiple of 5 and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -25.381 + 25.5. What is v rounded to two decimal places?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 4*p + 9 = 0, -3*p - 1 = -2*r + 14. What are the prime factors of -1 + r - (-45)\/5?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -3*y - 6. Solve a - 3 + 2 = 0, 0 = y*j + 2*a + 4 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*r - 3 + 5*r + 0 + (-3 + 2 + 2)*(r - 3*r + 0*r) - 3*r + 3*r - r to the form l + i*r and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.74577 + -1.753. What is t rounded to 3 dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 395 = -2*m. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (15 + -38 - -10) + 7 + -6 + 19\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 105 = -8*v. Is (-6402)\/(-21) - 1*(-3)\/v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 221781, 1774311, 5988347, 14194641, 27723945?\nAnswer: 47907011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62688105.\nAnswer: 3, 5, 1393069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (0 - -8 - (-65 - -79))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 1. Let s = 0.96 - 0.8. Let m = -0.06 + s. What is the closest to 1 in y, 1\/2, m?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 5*r = 9. What are the prime factors of (-3)\/r + 3 - -18?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 61237 and 1881?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 68054, 68082, 68110, 68138?\n\"Answer: 28*r + 68026","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/10)\/(136*(-145)\/(-7099200)).\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**2 - 13*f + 29. Let g be s(-15). Let v be (g\/3)\/((-10)\/24). Solve v*t + 2\/5*t**2 + 2\/5 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29183 - 29183 - p**2.\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 9:12 AM?\nAnswer: 8:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 64.34299 decades?\nAnswer: 643.4299","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j**2 - 2*j**2 + 23706 + 23671 - 71127 + 23750.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(468)*-2 - 3*(1 + sqrt(13)))**2.\nAnswer: 90*sqrt(13) + 2934","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 1056?\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 3*(-1*(0 + sqrt(1088)))**2*3 + 5.\nAnswer: 9793","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 6, 648, -2\/5, -232 in descending order.\nAnswer: 648, 6, 2, -2\/5, -232","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -71 + 83. Suppose -4*q + 5*p + t - 29 = 0, -2*q = -3*p + 11. Sort -1, q, 149.\nAnswer: -1, q, 149","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -39170439*a**2 - 16097851*a wrt a?\nAnswer: -78340878","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -15, -5, 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*g**3 + 261*g**2 + 1383*g + 1134 = 0. What is g?\nAnswer: -14, -27\/4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/7, 1\/2017, 3\/2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, t: 1, d: 5, g: 2, u: 1}. What is prob of sequence td?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(180)*-6 + ((-1 + sqrt(5))*6)**2 + (-1*(sqrt(5) + -1) - sqrt(5)).\nAnswer: -110*sqrt(5) + 213","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*n**2 + 28 + 9 - 37.\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-54)\/(-45)*5\/3. Let t(z) = 175*z**3 - z**2 + 1. Is t(u) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 + 15*t**2 + 84*t - 7. Calculate j(-5).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 10*z**2 - 17*z**2 + 3 - 2*z + 6*z. Calculate n(-2).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.4 times -0.3?\nAnswer: -0.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2558*g**2*i - 3772*g**2 - 8*g - 24*i wrt i.\nAnswer: -2558*g**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 20239869*t**4 - t - 80447234 wrt t.\nAnswer: 80959476*t**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 + 7*n**2 - 1. Let g be k(-6). Calculate the remainder when 61 is divided by (-10)\/g - (-149)\/7.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1155060, -1155052, -1155044, -1155036, -1155028?\nAnswer: -1155020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 + 3*s - 2. Let b be l(-4). Suppose 5*t - 19 = 4*v, -t + 2 - 1 = b*v. Differentiate -5 + 6*c**2 - 8*c**t - 6*c**2 + 2*c**3 with respect to c.\nAnswer: -18*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:15 PM and 9:01 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of 2*w**3\/3 + 2*w**2 + w - 3. Does 7 divide v(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -32*i + 28. Let b(s) = s - 1. Suppose -6*t + 9*t + 2*q = 256, -3*q + 258 = 3*t. What is t*b(j) + 3*p(j)?\nAnswer: -12*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*10)\/(1760*28\/(-896)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 588 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 y when two letters picked without replacement from {y: 2, w: 4}?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from bpbpbbbppppppp.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/5))**(6\/31)*r**(-4\/9)*r*r*r\/(r**(1\/10)*r)*r*r*r*r assuming r is positive.\nAnswer: r**(15437\/2790)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6*x**3 + 14*x**2*z**2 - x**2*z - 2*z**2 - 342*z wrt x?\nAnswer: 18*x**2 + 28*x*z**2 - 2*x*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.572 to zero dps.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q - 1. Let x(h) = -7*h**2 + 3*h + 26. Let u be x(-5). Let p = u + 130. Let l(n) = -6*n - 6. Give p*m(a) + 6*l(a).\nAnswer: -2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1424 divided by -3427?\nAnswer: 1424\/3427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 5:10 AM?\nAnswer: 4:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y = 2*v + y - 4, -3*v + 19 = -y. Suppose 0 = -4*j - m + 17, 3*j - 4*m + m - 24 = 0. Solve 0 = -j*k - 13 - v for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -30)\/9 - (-17 + 10).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 3:51 PM?\nAnswer: 12:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**9)**(-2\/99)\/(i*i\/((i\/(i\/((i**12\/i*i*i)\/i)))\/i)*i*i**(-3)))**(-31) assuming i is positive.\nAnswer: i**(-3689\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 139977?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen quarters of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a microsecond in nanoseconds?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -10*1 + 44\/22. Is 9 a factor of 2\/k - (-936)\/32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 523\/7 + -75. Which is the nearest to 2\/7? (a) -4\/5 (b) 5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o + 6. Let g(u) = 5. Let p(b) = 6*g(b) - 5*n(b). Let j(l) = -l**2. What is p(j(w))?\nAnswer: 5*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 - 1\/2) + 5135\/(-1170). Let a = -14\/3 - c. Determine n so that -2\/9*n**2 - a*n + 4\/9 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -x**3 - 4379*x**2 + 1289712*x = 0.\nAnswer: -4656, 0, 277","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 330044.\nAnswer: 2, 11, 13, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5602, -5665, -5732, -5803?\nAnswer: -5878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2*c**2 + 3752*c - 7965. Let n(l) = -l**2 - 1252*l + 2656. Let p(j) = 8*n(j) + 3*z(j). What is the derivative of p(a) wrt a?\nAnswer: -4*a + 1240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41b22 (base 12) in base 14?\nAnswer: -23630","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 328431 is divided by 23456.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 736 = 274*s - 86 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73 is divided by 28.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -4*y**2 + 2*y - 5. Let a = -256 - -260. Let i(m) = 3*m**2 - m + 4. What is a*z(l) + 5*i(l)?\nAnswer: -l**2 + 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 66939.25 milligrams in kilograms?\nAnswer: 0.06693925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lhel when four letters picked without replacement from {l: 7, h: 8, e: 3}.\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 10803369*k*r - 16976644*k + 1 wrt r?\nAnswer: 10803369*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21877056, -43754152, -65631248, -87508344?\nAnswer: -109385440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*(-2)\/4)\/((1652\/72)\/59).\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 933 bigger than 9117?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + -3. Let k be 0*z\/2*-1. Suppose 0 = -r - w - k - 3, -3*w + 15 = -3*r. Put r, -5, -7 in increasing order.\nAnswer: -7, -5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2345*w + 9628 = 459 - 7246 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4539 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 196\/5 + -417\/10. Which is the second biggest value? (a) -7 (b) 7 (c) x (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -18 and 28142063.\nAnswer: 28142045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-15*j + 1 - 1)*(11 + j**2 - 5 - 4*j - 9 - 22 + 14 + 5 + 2*j**2 + (2*j - 2 + 2)*(-j + 2*j + 0*j)) to c*j**3 + b*j**2 + a*j + f and give b.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-2)\/6)\/(-1*(-5)\/(-20715))?\nAnswer: 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 335 is divided by 103.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that h**3\/8 + 8053*h**2\/8 + 16082*h + 64296 = 0.\nAnswer: -8037, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 9746.483mm in meters?\nAnswer: 9.746483","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(4400))**2.\nAnswer: 80*sqrt(11) + 4404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (114\/(-11685))\/(((-2)\/(-24))\/((-12)\/(864\/45)))?\nAnswer: 3\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3444 - -114?\nAnswer: -3330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 - 15*g**2 + 14*g + 19. Let o be m(14). Suppose s = o - 2. Let x = s + 11. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 162373 = -5*h. Let y(l) = 3*l + 162373 - h. Let d(k) = 105*k**2. Calculate y(d(j)).\nAnswer: 315*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -24 + 1 + -230 + 245\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -306, -15, 11, 5, 94.\nAnswer: -306, -15, 5, 11, 94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven halves of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 2.7266103 months?\nAnswer: 0.0227217525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + a - 22 = 0. Suppose 5*m + a = -14, 2*j - 42 = 4*m. Let p = 51 + -10. Calculate the remainder when p is divided by j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + 6. Let x(h) = -11*h**2 + 5*h - l*h**2 + 16 + 29*h**2 + h**3. Let v be x(-6). Calculate the greatest common divisor of v and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 600350 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmmm when four letters picked without replacement from mmmmmmmmmm.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**4\/2 + 860*p**3 + 73095*p**2 - 148780*p + 149645\/2.\nAnswer: 5*(p - 1)**2*(p + 173)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1014\/149 or -8?\nAnswer: -1014\/149","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3973 divided by -72769\nAnswer: 3973\/72769","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1\/7*i**4 + 152\/7*i**2 - 27\/7*i**3 - 36*i + 128\/7 = 0.\nAnswer: -32, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -4*t + 14. Let n(o) = -2*o - 2. Let x(f) = 6*f + 17. Let r(d) = -4*n(d) - x(d). Determine r(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-28)\/8 + 4)*-6. Let z be o\/(2\/(-8)*18\/3). Find the third derivative of -2*f**z + 665*f**3 - 14*f**2 - 661*f**3 wrt f.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrgsgrsrhrrsghrhrrs. Give prob of sequence sgg.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 197 - 190 - (0 + -1 + 2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26\/3*(-12411)\/(-215124).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 150 + -134 - (6 + (0 - -1)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 69966251 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2309*f**2 - 1412*f**2 - 1272*f**2.\nAnswer: -4993*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:53 AM and 10:25 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5696937, -11393884, -17090827, -22787766, -28484701?\nAnswer: -34181632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4731878 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7542 or -1442?\nAnswer: -1442","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3251?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.201924808 to 2 decimal places.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m. Suppose 5*c + 3*v = 121, -60*c + 57*c - 2*v + 73 = 0. Let z(k) = -82 - 4*k + k + 3*k - c*k**2 + 25*k**2. What is z(l(x))?\nAnswer: 2*x**2 - 82","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2654728867?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(((sqrt(539) - (4*sqrt(539) + sqrt(539)))*-4*-6 + -5)*-5)**2.\nAnswer: -248372450 - 336000*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2654 + 74?\nAnswer: 26c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the first derivative of 0*j**4 + j**2 - 107 + 0*j - 63\/5*j**5 - 7\/3*j**3. What is the third derivative of g(t) wrt t?\nAnswer: -1512*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r - 2. What is j(1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 759*r = 851958 - 833742 for r.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -249762 - -468762. What is q rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/23*(34028\/282 - 120)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4512 is divided by 226?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 29\/2 of a litre?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = i + 12. Suppose -2*j - 18 = -i*j. Is j a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1112292.\nAnswer: 2, 3, 3433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*a**2 - 11*a**2 + 3*a - 3*a - 14*a**2 + 1 - 2*a in the form y*a**2 + n + o*a and give y.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -579*a + 837. Let o be b(0). Solve 2*g = o - 849 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 521952 by -327.\nAnswer: -173984\/109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/(-30)*(2 - 6). Let g = -1.9 + 2. Is g less than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/5 of a litre in millilitres?\nAnswer: 2200","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -2*f**2 + 15*f - 25. Let x be j(5). Suppose 1694 = 14*a - x*a. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 25 = 5*o, -5*o - 14 = x - 34. Suppose 4*q = -q + 90. Suppose -x*y + 52 + q = 0. Is 10 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -p**4 - 5 - 185*p + 51295095*p**2 + p**3 - 51295095*p**2 as b*p**4 + u*p**2 + a*p + d*p**3 + w and give w.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 167 - 168. List the prime factors of 1548\/(-27)*(j + 7\/(-2)).\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66289757 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1463 + 2442. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mkpykhmphkyamk. Give prob of sequence ah.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 735?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.2 + 0.2. Let m = -27.3 - -27. Which is the nearest to m? (a) -0.5 (b) d (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.230708, -3, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -33 or -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -137330, -137139, -136948, -136757?\n\"Answer: 191*y - 137521","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/4 in 2\/11, -51, -839?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 111.44386 to 2 dps.\nAnswer: 111.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttttttttttpttppttppt. What is prob of picking 2 t and 2 p?\nAnswer: 70\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1922 and 5952.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 127070005552 - 3.\nAnswer: 127070005549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -6*p + 1. Let x(t) = -2*t. Suppose 4*d - 216*w + 217*w = -28, 28 = -d + 5*w. Calculate d*x(l) + 3*b(l).\nAnswer: -2*l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -107285383*w**2 - 190802122*w wrt w.\nAnswer: -214570766","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -18558b (base 14) in base 11?\nAnswer: -538126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (14 + -19 + -25 - -34) + (30 - (0 - -1))\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 96 (base 14) to base 8.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 26\/3*t**2 - 1\/3*t**5 + 4\/3*t**4 + 43\/3*t**3 + 0 - 24*t = 0.\nAnswer: -4, -2, 0, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -137 - -88. Let h = -57 - p. What is the common denominator of (h\/((-64)\/(-12)))\/((-15)\/(-119)) and 93\/22?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16 - 7. Let a = 46 - 43. Calculate the remainder when i is divided by a.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 449539 is divided by 12147.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(405))\/(sqrt(9) - (sqrt(9) - sqrt(225)*1)) + (5*(sqrt(5) + 2*sqrt(5) + sqrt(5)) + sqrt(5))**2 + (-2 + sqrt(45))**2 + 4*2*sqrt(320).\nAnswer: 263*sqrt(5)\/5 + 2254","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1064, -1063, -1062, -1061?\n\"Answer: x - 1065","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of 0*w**2 - 10*w + 0*w**3 - 5\/4*w**4 + 0. Let z(c) be the second derivative of c**3\/3 + 2*c. Calculate z(o(i)).\nAnswer: -30*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + z + 20 = 0. Suppose z*w + 3*t = -42, 0*w - 3*w = 5*t + 22. Let b = -8 - w. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(3\/5)\/i*i*i*i\/i**(3\/5))\/(i**(-4)\/(i**0*i)) assuming i is positive.\nAnswer: i**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -p - 2*j - 5, -11 = 2*p - j. Let o be (-3)\/((-6 + 3)\/p). Let l = -6.7 - -7. Which is the smallest value? (a) o (b) 3\/7 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -213705 = 3*a + 1046295. What is a rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*h - 11*h = -4*i + 29265, -i - 2*h = -7325. Does 19 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -860 + -1007.\nAnswer: -1867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -263 - 1?\nAnswer: -264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/6 and -99\/106.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.218 less than -52.9556?\nAnswer: -56.1736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -936 - 388 = -4*w. Let p = -2939\/9 + w. Find the common denominator of -45\/11 and p.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 14\/15895?\nAnswer: 14\/15895","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 27\/15 + 1\/5. Suppose -77 = -3*q + 4*p, o*q + p - 59 = -4*p. Solve 3*h + 19 = 3*m - m, -m = -5*h - q for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 4789.599 millilitres?\nAnswer: 4.789599","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -134*l = 491*l - 60*l - 26555 for l.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -40406 (base 10) to base 5.\nAnswer: -2243111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -107 - -363. What is the tens digit of 2\/(-7) + r\/14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1012030 - 122?\nAnswer: -1012202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 0 - ((-7 - -11) + -7).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**1\/o)**(-13\/4)*(o**(-1\/4))**(-22))\/(o**(-2)*o*o**(-9)*o)**(-48) assuming o is positive.\nAnswer: o**(-1719\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -161 + 79. Let h = -82.99 - m. Let x = h - -4.99. Which is the closest to -1? (a) -0.2 (b) -2\/7 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19 (base 14) to base 7\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1587*n + 17 = 1282 + 322 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 830.\nAnswer: 2, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 133 and 82432.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 793*y - 782*y**4 + 344*y**4 + 217*y**4 + 222*y**4 + 2 as f*y + t*y**2 + p*y**4 + o + h*y**3 and give f.\nAnswer: 793","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 135 less than 135?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(20) + 1*sqrt(20) + sqrt(20))*6)\/((-2*sqrt(120))\/sqrt(12) + sqrt(10))*5*2)**2.\nAnswer: 64800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -3\/5*w**2 + 2076\/5*w - 359148\/5 = 0. Calculate w.\nAnswer: 346","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -39*m + 4*m + 77346 - 8851. Is m a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 115 + -52. Suppose -4*z + 1 = -2*o + 37, -5*z - j = -4*o. Is o a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 - 2*a**2 + 167*a + 310. Calculate m(-13).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 181403266?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, x: 5}. What is prob of picking 4 x?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -510, -544, -592, -660, -754, -880, -1044?\n\"Answer: -v**3 - v**2 - 24*v - 484","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = 41*b - 46*b, 312*b = 3*x + 609 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1727774 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 43523866 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*u = 4139475 - 1572236. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o = -2*o - 485. What are the prime factors of o?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of -4 - 13\/2*g**2 - 16*g + 2*g**3 - 107\/4*g**4. Let y be h(-16). What is y rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/7))**23*f**(-1\/6)\/f*f\/(f\/f**(-18)) assuming f is positive.\nAnswer: f**(-667\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-880)\/(-3872)*41*1\/(-20) and -7\/132?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 16 = 4*o, 3*o - 101*v = 105*v - 201*v - 25 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(1\/(1\/1)). Let o(h) = -y + 1 + h. Let a(t) = 5*t**2 - 3*t - 3. Let v(u) = -6*u**2 + 4*u + 4. Let p(r) = -4*a(r) - 3*v(r). What is o(p(w))?\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from addppdaadpjdppdd. What is prob of picking 2 a?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 2*t + 4*j - 10690, -3*t + 10725 = -3*j. Suppose 0 = -4*q + 5*o + 3566, 3*q + q - 3*o = t. List the prime factors of q.\nAnswer: 2, 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(475)*-1)**2 + -5.\nAnswer: 470","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(36)*2)\/(sqrt(60)\/sqrt(5)*-3).\nAnswer: -8*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of -2807*f**5\/20 - 640*f**4\/3 + 13*f + 127. What is the third derivative of s(v) wrt v?\nAnswer: -16842","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.01? (a) -0.4 (b) 1.83 (c) -37 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 + 4*d**2. Let l(x) = -x**3 - 3*x**2. Let h = 82 + -83. Let t be 18\/(6\/h) - (1 - 91). Let i = 84 - t. Calculate i*c(a) - 4*l(a).\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.0408 and -164917587392?\nAnswer: 164917587392.0408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000377571 to six decimal places.\nAnswer: -0.000378","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b**(-4\/5)))**48 assuming b is positive.\nAnswer: b**(192\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 23141 + -2?\nAnswer: 23134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -22102 (base 3) in base 13?\nAnswer: -146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/6*(7 + 3). Suppose -l*h + 90 = 5. What are the prime factors of h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3b3 + -940?\nAnswer: -549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -2*l**2 + 47*l + 32. Let c be q(24). Solve -2 = -c*i + 30 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 28*y**2. Suppose 16*d - 504 = 9*d. Let r(o) = d*o**2 - 146*o**2 + 72*o**2. Determine x(r(n)).\nAnswer: 112*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1375*t**4 + 1633.\nAnswer: -5500*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -889779 or -22244489\/25?\nAnswer: -889779","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 855390 and 1625241?\nAnswer: 16252410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*c = 9*c + 2688. Does 56 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 3553998?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are -9\/5 and -301\/2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 83, 2, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 11*g*m**2 + 4048*g - 4*m**2 + 57149 wrt g.\nAnswer: 11*m**2 + 4048","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 - (2\/2 - 2). Let r = -10\/221 - -512\/1547. Suppose 0*n**3 + 1\/7*n + 0 + 2\/7*n**4 - r*n**s - 1\/7*n**5 = 0. What is n?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 487322.6 micrometers?\nAnswer: 48.73226","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r + 16. Let j = -49 - -55. Suppose -4 = -s + 4*p, -5*s + 5*p - 1 = j*p. Let n be f(s). Solve n = -6*y + 2*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/8, -5, 4, -1, 129?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3570 is divided by 1771.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -2, 67 in ascending order.\nAnswer: -2, 14, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011 - 1110101001010?\nAnswer: -1110101010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/(-3)*-6)\/((-16)\/(-32)). Let y = 15\/2 + -41\/6. Which is the fourth biggest value? (a) 7 (b) 0 (c) y (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2077216220?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 18 = -4*o - 112, 170 = 4*x - 2*o. Calculate the highest common divisor of 28 and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 87 (b) 2\/5 (c) 3 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30 and 2715?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25128, -50980, -76814, -102630, -128428?\nAnswer: -154208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 38*w**2 + 15*w + 46. Let a(l) = 7*l**2 + 3*l + 9. Let y(t) = -11*a(t) + 2*m(t). What is y(-4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*r**2 - 143*r**2 + 31*r**2 + 12*r**2 + 32*r**2.\nAnswer: -41*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 + 4*c**2 + 7*c - 7. Let t be a(4). Let i = 29 - t. Suppose i*y = 5*y + 96. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10.2 + -10. Which is the third smallest value? (a) r (b) 1\/7 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (180\/(-340))\/((-4)\/68). Put 11, 3, t, -1, 4 in descending order.\nAnswer: 11, t, 4, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 0.9 (b) 0.4 (c) 2\/11 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 q when two letters picked without replacement from qbqbnub.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1931?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -762748.11 to the nearest 100000.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 2 (b) 3\/5 (c) -6 (d) -19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 1159, -1?\nAnswer: 1159","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 + 314*y**2 - 5626*y + 337. Give h(-331).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 AM and 6:38 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1440*p + 1469*p + 29 = 725. Calculate the highest common factor of p and 16584.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -285, -719, -1429, -2415, -3677, -5215, -7029?\n\"Answer: -138*z**2 - 20*z - 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1805376, 3610752, 5416128?\nAnswer: 7221504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.875 - 2\nAnswer: -1.125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-41 - (0 + 3)) + -33 + (-2 + 29 - -6)\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*m + 230 = 32 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 31.032 - 30.5. Let c = -0.032 + x. What is the closest to -21 in c, -1, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -121 - -193. Let m be (6\/(-18))\/(6\/s). Put -0.5, 1\/8, m, -30 in descending order.\nAnswer: 1\/8, -0.5, m, -30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jdg. Give prob of sequence dg.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*w + 10 = -53*w. What is the smallest value in 0.5, -6, 2, w?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2405271, -2405265, -2405259, -2405253?\nAnswer: -2405247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/6 - (20\/3 - 7)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 147 - 150. What is the third biggest value in f, -2, 6\/19, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 0.3, 1\/9, 0, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o + 29 = -1. Let n be -4 + o + 340\/38. Sort 0.5, n, 3 in ascending order.\nAnswer: n, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 5*a**2 - 3 + (3 - 3 - 1)*(4*a**2 - 4*a**2 + 2*a**2) in the form l + s*a + g*a**2 and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (249\/(-249))\/(2\/4). Are 982 and u unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of -l**4\/4 - 2*l**3 - l**2\/2 + 4*l + 211. What is t(-3)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) -1 (c) -0.05 (d) 1\/13 (e) -0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1428 divided by -6.\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - 0.5. Let w = -8.8 + 8.3. What is the third biggest value in w, 2\/5, c, -1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - 1.6. Suppose -8*l - 990 = -374. Let d = l + 75. What is the biggest value in d, 0, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 1 - 2)*(-3 + 2*z**5 + 3) - z**5 - z**5 + z**5 - z**5 + 0*z**3 + 0*z**3 + (3*z**2 + 3*z**2 - 4*z**2)*(3*z**3 - 3*z**3 - 2*z**3) + 0 + z**5 + 0.\nAnswer: 3*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 52 and 1651.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 99962767 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/7, 0.12, -2, 0, 2, -43\/12?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7556 by -8.\nAnswer: -1889\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -6041 divided by -24?\nAnswer: 6041\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 (base 14) in base 6?\nAnswer: 1505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2174346 to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 43 = -4*j + 87, -4762 = -11*z + 4*j - 4476 for z.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as -8\/3495?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 14, 19, 24, 29?\n\"Answer: 5*z + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 536574 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 452*j + 8424*j**2 - 6532*j**2 + 1 - 2241*j wrt j.\nAnswer: 3784","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2924 * 1234\nAnswer: -3608216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -150682, -150718, -150766, -150826, -150898, -150982?\nAnswer: -151078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 338869?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*i**4 + 1 + 747*i**2 - 748*i**2 + 2*i**4 + 2*i**3 - 5*i in the form l*i + m*i**2 + o*i**4 + w*i**3 + j and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 3*a + 16 = 0. Is a*-338*(-4)\/32 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 + 13*i**2 - 1074*i - 77. Let a be o(27). Calculate the greatest common factor of a and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-52 - -232) + (1 - (59 - 15)).\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-164)\/(-6) + 3\/(-9) is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6439\/2685 + 1\/537. Let y = -98\/45 + o. Let g = 12 + -12.2. Which is the third biggest value? (a) g (b) y (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*c + 298648 = -8*c - 6104. List the prime factors of c.\nAnswer: 2, 3, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -156874 or -156877?\nAnswer: -156874","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/3 (b) 0.4 (c) 2 (d) -4601 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18227 + 18228. Which is greater: k or -3224?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 134*f**2 - 2*f. Let j be d(1). Let x = 2223\/5 + -447. What is the common denominator of x and (-1)\/2 + (702\/j - 5)?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3354 is divided by 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + 5. Let r be l\/(-48) - 82\/(-292). Let u = r + 18941\/4818. Find the common denominator of u and 63\/10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -3, -2\/13, 2\/75?\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -12*t**2 - 5*t + 13. Let m(y) = -5*y**2 - 2*y + 6. Let n(x) = -7*m(x) + 3*q(x). Let a(o) = o**2 + 3. Let f(u) = -3*a(u) - 2*n(u). Give f(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1442295 = -44*x - x. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the second derivative of -b**6\/330 + 2*b**5\/55 - 5*b**4\/33 + 8*b**3\/33 + 30*b + 2. Factor w(j).\nAnswer: -j*(j - 4)*(j - 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8146.5 - -8146. What is the nearest to 0.1 in 2, -1, m, 4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 140 by 20.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 183*x - 3470. Let i be g(19). Solve i*d = 105 - 140 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 3*c. Let q be (-22)\/(-22) - -22*-3*1. Let o(y) = 143*y + 65. Let a(r) = -9*r - 4. Let j(v) = q*a(v) - 4*o(v). Determine j(m(t)).\nAnswer: 39*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1 + 1)\/2)\/(-2). Solve -n = -5*i + 4*n, 4*i + n - 20 = g for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -3*i + 12 + 11, 0 = i + h - 1. Suppose 2*p = i*p - 24. Suppose 0 = -4*k + k + p. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -2\/15, 5, 9?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of 214*l**5\/5 - 29*l**2 + 4. What is the second derivative of y(q) wrt q?\nAnswer: 2568*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5002.15um to millimeters.\nAnswer: 5.00215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (5 - (-6 + 18)) + 1 + -5?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + 10 + 4 + -4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 19129633 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -20530, -20523, -20516, -20509, -20502?\n\"Answer: 7*z - 20537","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.30581882 to two dps.\nAnswer: -2.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 65\/1300 - (3 - 118\/40)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1737537 or 2?\nAnswer: 1737537","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 19 in 0.0529, 2\/9, 0.66, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 201597725 from 1383.\nAnswer: -201596342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -2*a - 2*a**3 + 2*a**3 - 2*a**2 - a**3. Let b be y(-2). Suppose -4*m = -3*g - 26, -8 = -2*m - 2*g + 12. Solve b*k + 4 + m = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 462531 to the power of 1\/3, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 6:48 AM?\nAnswer: 3:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 4 = 3*v, -7*v - 4*b + 6 = -6*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of 1\/2*a**2 + 2 + 0*a**3 - 2*a + 1\/12*a**4. Let d(w) be the first derivative of c(w). Find the first derivative of d(p) wrt p.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0\/((-2 - -5) + -4). Let v be 82997 - -5 - (2 + w). Round v to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.043 * 256.\nAnswer: -779.008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 + 72 = 12*y - 18. Let j = 590 + -402. Calculate the least common multiple of j and y.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**3 - 10020*a**2 + 30136*a + 100320.\nAnswer: -4*(a - 5)*(a + 2)*(a + 2508)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4978\/(-6) - (-108)\/(-81). Let p = 897 + u. Calculate the greatest common divisor of p and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4 + (-52)\/(8\/(-2)). Suppose -4*b = -4*a + a + 184, a = 2*b + 58. Calculate the highest common factor of a and r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82 = -3*d - 2*i, -2*d + 2*i = -42 + 4. Suppose -3*k - d = -4*k. Does 9 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the second derivative of x**6\/30 - 3*x**5\/20 - 49*x**4\/12 - 14*x. What is the third derivative of p(f) wrt f?\nAnswer: 24*f - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the third derivative of -h**6\/120 + h**5\/60 - h**4\/6 + h**3 + 26*h**2. Let x(q) = q**3 - q**2 + 3*q - 5. Give 5*t(i) + 6*x(i).\nAnswer: i**3 - i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 346*x + 3113. What is v(-8)?\nAnswer: 345","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169448 = -7523*c + 191656 for c.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-5)\/4)\/(4\/(-16)))\/(-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -79\/792 + -1\/88. Let m(w) = -w**3 - 3*w**2 - w + 3. Let q(d) = 2*d + 24. Let h be q(-13). Let n be m(h). Which is smaller: c or n?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -9*((-12)\/(-9) - 2). Let u(p) = -6*p - 1. Let n be u(-1). Suppose 27 = 2*c - n*h, 9 = 3*c - c + h. What is the highest common factor of j and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.0978993nm?\nAnswer: 0.0000000978993","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -72 divided by 692?\nAnswer: -18\/173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110) + sqrt(110) + (((2*sqrt(110) - sqrt(110) - sqrt(110)) + sqrt(110))*1 - sqrt(110)))*-6)\/(sqrt(20)\/sqrt(50) + sqrt(10) - -2*sqrt(10)*-2).\nAnswer: 30*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -867d + 51?\nAnswer: -862c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (0 + 4 - 4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, 4, 6, 5 in descending order.\nAnswer: 6, 5, 4, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 4*y = 3136, 46*y = 49*y - 12. What is the remainder when m is divided by 207?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2.3, 1, -1084, -4, 1\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from uzazrzrreez?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -4*b - 3*j - 1, -j - 4 = 0. Let s(x) = -2*x**3 + b + 5*x - 5 + x**3 - 12*x**2 + 17*x**2. List the prime factors of s(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9\/((-12)\/(16\/(-4))) - 1. What is the smallest value in 0.19, 1\/2, p?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (7\/(-3) - -4)*3. Suppose u - 5*u = 20, u + 10 = -d*y. Let w(h) = h + 3. What is the remainder when 18 is divided by w(y)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 8 - 2 = 0. Suppose -x*u - 3 = -15. Suppose -q + 14 = -4*j, -2*q + j = -2*j - 18. What is the lowest common multiple of q and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**2 + 9775*a + 9780.\nAnswer: -5*(a - 1956)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the third derivative of -2*k**7\/105 - 59*k**5\/20 - 1097*k**4\/24 - 1377*k**2. Find the second derivative of v(t) wrt t.\nAnswer: -48*t**2 - 354","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -6*g**3 - g**2 + 298*g + 593. Give u(-2).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(56))\/sqrt(8) + sqrt(7))**2 + 2 + sqrt(14)\/sqrt(2).\nAnswer: sqrt(7) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06184094 rounded to four dps?\nAnswer: 0.0618","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 79 - 44. Let t be b + 4\/(-12)*-3. Let i = -32 + t. What is the remainder when 10 is divided by i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 2*f - 1 + 0*f + 2*f - 3*f + (-2 + 0 + 1)*(-2*f + 6*f + 0*f) + 2*f + 2*f - 3*f.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 456816 is divided by 228180.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + m + 2*l = -384, 5*l = -5*m + 640. Is m a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 156298.\nAnswer: 2, 17, 4597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 0)*(5855*l**3 - 47 + l**5 - 5855*l**3).\nAnswer: -2*l**5 + 94","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 10 = -2*h, h = 2*h - 3*j + 6. Let x = 20\/19 + -102\/133. Which is greater: x or h?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76606*p**3 - 76646*p**3 + 153311*p**3.\nAnswer: 59*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 38620 by 6.\nAnswer: 19310\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -327, -643, -957, -1269?\nAnswer: -1579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4\/839559 + 9427408703\/145243707. Let x = -2579892\/36157 + c. Let t = 176\/19 + x. What is the common denominator of 33\/10 and t?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + 3 + 1 + -21. Let w = -13 - m. Suppose w*o - 3*o = 8. Calculate the lowest common multiple of o and 3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 PM and 8:24 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(3520) + sqrt(3520) + sqrt(3520)*-3 + sqrt(3520))*-2)\/(-2*2*sqrt(44)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Round 47.6254 to one decimal place.\nAnswer: 47.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 27329 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-684)\/135 + (-2)\/(-30).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 divided by -1087?\nAnswer: 30\/1087","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 2*t**3 - 7*t**2 + 6*t - 9. Let a(c) = 3*c**3 - 9*c**2 + 7*c - 8. Determine 3*a(m) - 4*r(m).\nAnswer: m**3 + m**2 - 3*m + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -165196 divided by -3.\nAnswer: 165196\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**32\/(m**(-16)*m*m)*(m**(-40)\/m)\/m**(5\/6) assuming m is positive.\nAnswer: m**(25\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 51 - 39. Let m = -15 - -19. Calculate the highest common divisor of r and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/5 of a meter?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 62\/(-7) - (6 + (-41)\/7). Let i = -7 + 5. Let x be i + (10 + -2)\/(-1). Which is bigger: x or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 4*o - 9, -2*t - 2*t + 12 = 0. Let c = o - -5. Suppose 2*y + 2*y + c = 3*z, 0 = y - 4. Solve -2*u = -4*j - 22, 0*u = 2*j + 5*u - z for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31\/(682\/33)*((-9)\/(-12))\/(-1).\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 k when three letters picked without replacement from mmkkllkmlklk?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 8934957 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -312200 + 23231?\nAnswer: -222303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 522 is divided by 75.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 2 = 0, -135 - 210 = -2*k - m. What is the remainder when k is divided by 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 7126\/(-315) + 2\/9. Let k be (-9 + 5 + 5)*22\/(-1). Are k and b equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 88754 (base 13) to base 4\nAnswer: 330120110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z. Let g(j) be the second derivative of 4*j**7\/315 - 89*j**4\/12 - 2*j. Let f(t) be the third derivative of g(t). Calculate c(f(k)).\nAnswer: 32*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 3*u - 4*t, -2*u + 4 + 0 = 2*t. Let w = -3824.8 - -3825. What is the third biggest value in 7\/4, w, u, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(-5 + sqrt(1584)*2) - (sqrt(1584)*1 + 2)*4) + -2 + 3 + -5)**2.\nAnswer: -5328*sqrt(11) + 58393","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 159 a factor of 140619939?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 49 = -471. Suppose -48 = -2*l + n. What is the remainder when l is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 988 and 173147?\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 - -17. Let a = 13 - g. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -269714 + 269714. Find u such that h + 16\/3*u**2 - 8\/3*u**4 - 4*u**3 + 4\/3*u**5 + 16\/3*u = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 92 = -0*g. Let o = -13 - g. Calculate the lowest common multiple of o and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-6) + (-86)\/129. Suppose -4*k - 79 = -3*g + 12, 3*g - 15 = n. Is -4 != k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -234 by 263.\nAnswer: -234\/263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -113*g**3 + 198*g**3 - 100*g**3.\nAnswer: -15*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 - (-2 + 1))*26. Let n = 12 - c. List the prime factors of n.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.74 and 0.092.\nAnswer: -0.648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -40.047 - 0.013. Let l = -39 - x. What is l rounded to one dp?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 972019.\nAnswer: 547, 1777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p - 3. Let i be v(-5). Suppose 3*f = -i*f + 1295. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*o*w**5 - 2*o*w**2 - 31*o*w - 2*o - 55*w**3 wrt w.\nAnswer: 120*o*w**2 - 330","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 4*f. Suppose 4*x = -4*n + 3*x + 4450, 2*n - 5*x - 2214 = 0. Let z(h) = 1116*h**2 - n*h**2 - 1 + 1. What is l(z(b))?\nAnswer: 16*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -973*x = -860*x + 2147 for x.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -4*s + 229510, -9*s - 4*o = -725636 + 209236. Round s to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10614058 and 4?\nAnswer: 21228116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/14271 and 79\/1065.\nAnswer: 71355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 4*w**2 + 4*w - 3. Let z(g) be the second derivative of 7\/6*g**3 + 0 + 2\/3*g**4 - 5\/2*g**2 + 102*g. What is 7*f(k) - 4*z(k)?\nAnswer: -4*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -18 (b) 1 (c) 356\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 k when two letters picked without replacement from pvqqskk?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 - (1 + -9 - (77 + -94))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**2*m*m**20 assuming m is positive.\nAnswer: m**23","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30215910 + 41*a - 30215910.\nAnswer: 41*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9.9 - -15. Let o = -6.9 - z. Let v = o - -11.8. Which is the second biggest value? (a) v (b) 5 (c) 0.3 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 + 14*z**2 - 9*z + 15. Let l = -70 - -61. What is the units digit of q(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20.81 - -20.71. Which is the closest to v? (a) -1\/7 (b) -5 (c) -2 (d) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-792)\/(-4224)*(-2)\/3.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.022*9\nAnswer: -0.198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -997, -1032, -1081, -1150, -1245?\n\"Answer: -o**3 - o**2 - 25*o - 970","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -3*z**3 + 2*z**2 - 5. Let c(p) be the first derivative of 3*p**4\/4 - 2*p**3\/3 + 6*p + 51. Determine -5*c(v) - 6*m(v).\nAnswer: 3*v**3 - 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 2*z**3 - 5*z**2 + 3*z. Let f(a) = -a**3 - a**2 + a. Suppose -30*x - 611 - 49 = 0. Let s be (-265)\/(-55) - 5 - 26\/x. Calculate s*k(c) - 3*f(c).\nAnswer: 5*c**3 - 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 + 7*z**2 + 5*z - 2. Let j be c(-6). Suppose 37 = p - m + 2*m, -5*p = -j*m - 203. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 - 48*g - 46. Let m be h(49). Solve -m*s - 2*j + 3 = -10, 0 = 5*s - 3*j + 10 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4152141 (base 7) to base 4.\nAnswer: 1322013030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -2*j + 37. Solve -5*t = f - 2, -2*f - f = -5*t - j for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z - 31*z**2 - 37*z**2 - 46*z**2 + 111*z**2.\nAnswer: -3*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15*i**2*n*u - 3*i**2*n + 7*i**2*u + 7*i*n*u + 3*n*u + 1 wrt i.\nAnswer: -30*n*u - 6*n + 14*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5514 - 4?\nAnswer: -5522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 16, 4, -10, -26?\n\"Answer: -y**2 - 9*y + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 347 + -347.000315. What is v rounded to 5 dps?\nAnswer: -0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1238\/36811 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 230.179082 to one dp.\nAnswer: 230.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28*m + 457*m + 134*m + 577*m to f + s*m and give s.\nAnswer: 1196","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*v - 138 = 60*v. Let w(n) = -n**3 + 5*n**2 + 9*n. Calculate the remainder when v is divided by w(6).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 837 and 432?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4979880872 to the nearest integer?\nAnswer: 70568","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.7 * 0.3\nAnswer: -0.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4187 - (6 + -9*7\/21)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) -0.6 (c) -3\/7 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48578 = -29*x + 44367. Is x - (-3*16\/12 + 6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -5*k**2 + 2 - 2. Let b(v) be the first derivative of 5\/2*v**2 - 97 + 0*v. Determine b(j(z)).\nAnswer: -25*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**3\/r)\/(r*r**2)*r\/(r**(-7)\/r*r)*r\/r**6 assuming r is positive.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14005744 + 1801272.\nAnswer: 15807016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 PM and 11:46 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2581942?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 6292.113mg?\nAnswer: 6292113000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1176) - 5*(sqrt(1176) + (sqrt(1176) - 2*sqrt(1176))))*-3)\/((3*sqrt(72)*2 + sqrt(72))\/(sqrt(81)\/sqrt(144)))*-4.\nAnswer: 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1598350286.\nAnswer: 2, 13, 97, 48751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/4*(-4)\/(-24)*-1.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 137\/28 - 36\/7. Let a = 33 - 233\/7. Let r be (-78)\/27 - 1*4\/36. What is the closest to r in a, o, 0?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-3) + 1225\/(-21). Let y = -173\/3 - o. Which is the fourth biggest value? (a) 1 (b) y (c) -3 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + i - 3*o + 39, -2*i - 2*o = -70. Calculate the remainder when i is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {k: 11, g: 3}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/35 + 0 + (-26)\/(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, 6, -2\/29?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11876487 a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73123*l**2 + 72471*l**2 - 146785*l**2.\nAnswer: -1191*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/13 (b) 1\/3 (c) -4 (d) 0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 281*d + 169. Does 9 divide a(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 12*z**4 + 18*z**2 - 16*z - 16. Let s(h) = -4*h**4 - 6*h**2 + 5*h + 5. Let f(r) = -5*k(r) - 16*s(r). Find the third derivative of f(g) wrt g.\nAnswer: 96*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*(-7)\/168*1\/((-12)\/(-8)).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 225 is divided by 194?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12, 30, 68, 132, 228?\nAnswer: 362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the third derivative of -2*j**2 + 0*j**6 + 0*j**4 + 23\/60*j**5 + 0*j + 1\/7*j**7 + 0 + 0*j**3. What is the third derivative of f(l) wrt l?\nAnswer: 720*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -74.6 + 69. Let s = n + 5.5. Which is the smallest value? (a) 1\/8 (b) 5 (c) s (d) -1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-14 - 114\/(-6)) + 406 is divided by 136.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/16 and -31\/128.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.075497744 + -2.375497524. Let a = 2.3 + d. Round a to seven dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.17759646 and 0.1.\nAnswer: -0.07759646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -206267 or -206290?\nAnswer: -206290","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -240*y**2 + 2 + 81*y**2 + 160*y**2 - 274*y as z + g*y**2 + m*y and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of 5\/6*y**7 + 0*y**6 + 0 + 0*y**5 + 4\/3*y**3 + 36*y + 0*y**2 + 0*y**4. What is the second derivative of s(h) wrt h?\nAnswer: 700*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 + j + 10. Suppose -45 = -2*b - 3*k, 0 = -4*b + 2*k + 34 + 16. What is the remainder when b is divided by x(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i**3\/5 - 64*i**2\/5 + 93568*i\/5 + 1775616 = 0. What is i?\nAnswer: -136, 240","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*m - 14*m - 5. Let s(b) = b**3 + 6*b**2 + 6*b + 7. What is s(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -5*d + 19. Suppose -d*t + 5*m + 35 = 0, -2*t - 5*m = -5*t + 27. Suppose -t = -4*a + 20. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 716138 minus -487.387?\nAnswer: 716625.387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*m - 5*m + 0*m)*(-12 + m - 45*m**2 - 38*m**2 + 84*m**2).\nAnswer: -14*m**3 - 14*m**2 + 168*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -940 times -0.5?\nAnswer: 470","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2491?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*l = -22*l - 10, -4*l = 5*y - 14. Solve -3*b + 2*b + 4*s = -16, -y*b + 20 = -4*s for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*p**2 + 2*p**2 - 4*p**3 + 3*p**3 - p - p**3 to s*p**2 + o*p + n*p**3 + d and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: a81452 (base 11) to base 12\nAnswer: 6b4a5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 161588 to the power of 1\/3, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 1728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 58598 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1633260, 13066038, 44097866, 104528268, 204156768, 352782890, 560206158, 836226096?\nAnswer: 1190642228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 313 = -22. Suppose -p + 16 + 19 = n, 2*p = n + g. Let s = -19 + p. List the prime factors of s.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6252101128 to the power of 1\/5, to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17014, -0.1, -2\/17, -5 in ascending order.\nAnswer: -17014, -5, -2\/17, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 62130 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 111634.\nAnswer: 2, 55817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 49*o**2 - 29*o**2 - 21*o**2. Suppose -145 = -9*f + 4*f. Let j(x) = -f*x - 17*x - 9*x + 6*x. Determine p(j(u)).\nAnswer: -2401*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6570 and 7340880.\nAnswer: 22022640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the second derivative of -c**4\/54 + 2*c**3\/27 - c**2\/9 - 104*c. Factor g(k).\nAnswer: -2*(k - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (3 - (-8 + -2 + 6)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000624096828 rounded to 6 dps?\nAnswer: -0.000624","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 3*q = -5*r + 13251, -3*q + 9921 = -2*r. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -6*w - 12. Let l(g) = -g**2 + 293446*g - 293446*g. Calculate l(i(o)).\nAnswer: -36*o**2 - 144*o - 144","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 + 190 + 209)*(-n - 2 + 1 + 2*n)*(3*n - 5*n + 3*n).\nAnswer: 413*n**2 - 413*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 96024 and 84?\nAnswer: 672168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.2718 - -0.0918. What is the second smallest value in a, -0.2, -0.5, 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -437, -807, -1177, -1547, -1917?\n\"Answer: -370*d - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(48)\/sqrt(4))\/sqrt(4) + -3)*1 - (-4*sqrt(12)\/sqrt(2))\/(1*sqrt(4)\/sqrt(2)))**2*5*2.\nAnswer: -300*sqrt(3) + 840","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of -13*d**4\/12 - 5*d**2\/2 - 8*d - 9. Let t(u) = -2 - 32*u**2 - 8 - 2. Let f = 28 + -16. What is f*p(y) - 5*t(y)?\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -13*f**2. Let o(x) = -x**3 + x**2. Let y(l) = j(l) + 5*o(l). Find the third derivative of y(g) wrt g.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4437 = 32*h - 3*h. Is 51 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 13*b**2 - 29*b - 16. Let x be o(-13). Let n = 4629 - x. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 + f + 4. Let i be l(0). Suppose -5*k = 4*u - 36, -4 = -3*u - 2*k + i*k. Suppose 3*j = u*j - 12. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2209*p**4 - 825 - 897 + 2295*p**4 wrt p?\nAnswer: 344*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 273194803 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 12:55 PM?\nAnswer: 10:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 - 6. Let t be (3\/j)\/((-2)\/(-8)). Suppose -t*b + 15 - 5 = 0. Solve -2*s - 28 = -b*r, 5*r = -2*s - 3*s for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of 553*u**4\/4 + 333*u - 231. What is the derivative of t(i) wrt i?\nAnswer: 1659*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12*150*138\/303600*1\/((-6)\/(-4)).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 56760 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 - 1. Let y(u) = -15*u + 15. Suppose 9*n + 1 = 8*n. Let x(v) = n*y(v) - 5*l(v). What is g in x(g) = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -31805 - -34313. Which is smaller: u or 2505?\nAnswer: 2505","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccdc when four letters picked without replacement from {c: 9, k: 1, o: 2, d: 1}.\nAnswer: 21\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f and 1 t when four letters picked without replacement from {n: 1, f: 4, t: 2}.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 46606?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -36.3 - -66.4. Let f = v - 38. Let c = f + 8. Is c < -1\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the third derivative of v**6\/60 + v**5\/8 + v**4\/4 + 27*v**2. Let x(o) be the second derivative of r(o). Differentiate x(c) wrt c.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 303\/27 + 4\/(-18). Let k(p) = -5*p**2 - 4*p - 3. Let n(i) = 16*i**2 + 12*i + 8. Let s(x) = z*k(x) + 4*n(x). Is s(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - -2110111112112220?\nAnswer: 2110111112112221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, 5\/2, 1\/29 in increasing order.\nAnswer: -1\/5, 1\/29, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -1904996821290\nAnswer: -1904996821286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 197912 and 242?\nAnswer: 2177032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 879799 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**2 - 25*o - 52. Let w = -178 + 280. Let p = 155 - w. What is the remainder when p is divided by a(-22)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 4*v = -4*s - 23, -5*v = 4*s + 32. Let a(x) = x**2 - 10*x - 9. Let q be a(10). Let r = q - s. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1298 and 291027.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -400 + 2*j - 6*j**3 - 3*j**2 + 400 + j**2 in the form q + d*j**3 + i*j + x*j**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-2)*g\/(g**3*g))**(1\/14)*(g**(-2\/7))**(-45)\/((g\/((g*g*g*g**(-1))\/g))\/(g\/(g**(-1\/6)\/g))) assuming g is positive.\nAnswer: g**(619\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-28)\/(-8) - 0)*4. Let g = m - 11. Solve -2*d + g*v = 11, 3*d - 5*v + 21 = 2 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55.54999 rounded to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 238.11 - 240. Let z = -1.8900186 - h. Round z to six dps.\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + 2*q + 2, -2*q - q = 5*a - 29. Suppose 53 = 3*g + 5*l - a*l, -41 = -3*g - 4*l. Let v(n) = 15*n + g*n - 32*n. Let j(r) = -26*r. Give v(j(z)).\nAnswer: -52*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((-1 + sqrt(720))*-4 + (sqrt(720) + -1)*6)**2.\nAnswer: -96*sqrt(5) + 2881","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -4*g + 5. Let i(q) = 11*q - 14. Let m = -15 + 23. Suppose 9*b + 111 = 46*b. Calculate b*i(c) + m*v(c).\nAnswer: c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -984961, -984959, -984957, -984955, -984953?\nAnswer: -984951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -232 (b) -7\/9 (c) -2\/183\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -2*i - 27. Let m(j) = -j + 9. Let o be m(5). Calculate the remainder when (-1)\/o - (-165)\/4 is divided by u(-19).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1386\/7)\/(-18) + 16 - -242*8\/(-16).\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 - 119*z + 2988. Let i be y(38). Let h be 18\/24*(-718)\/6. Which is smaller: i or h?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 + 10. Suppose 309 = 2*m - 757. Let x = m - 14393\/27. Is x greater than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 481 and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 627.3303ms?\nAnswer: 0.010455505","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0, -23\/12, -1\/5, -0.05, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -3*h**3 - 6*h**2 + 19*h + 30. Let f be x(-6). Let u = -325 + f. Solve -4*i = -3 + u for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -140 - -69. Let l be f\/(-1) + (-6 - -5). Suppose -u = 3*u + 4*i - 96, -3*u + l = 5*i. Calculate the greatest common divisor of 175 and u.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 + -7. Let z(y) be the second derivative of -y**6\/720 + y**5\/60 - y**4\/4 + 5*y. Let n(r) be the third derivative of z(r). Calculate n(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 2*s - s + 15 = 0, -5*l + s = -25. Put 1, l, -3, 0 in decreasing order.\nAnswer: l, 1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of -4*a**3 - 57*a + 5. Let h(l) = -13*l**2. Give o(h(z)).\nAnswer: 312*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(133) - -6*sqrt(133)*-2) + sqrt(133)*1*-5 + sqrt(133))\/(sqrt(847)*-2 - ((sqrt(7) - (sqrt(7) - 4*(sqrt(28) + sqrt(7)))) + sqrt(7))).\nAnswer: 3*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 25510645 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -4 (b) -1.7 (c) -32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 4*x - 608 = -9*x - 1247 + 614, 25 = 5*y - 5*x for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/8)\/(8\/((-256)\/(-60)))\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9854 + 2*q - 4986 - 4868.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1333, 0.4, -1\/4, -4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 478 + -479.146. Let w = f - -1.0993. Let s = -2.3767 - w. Round s to 1 decimal place.\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 3*k = -7, -3*p - 9*k = -5*k - 2. Let o be p + 3 - (1 - 1). Let n = 15 + 11. Solve -o*i = -i - c + 12, 5*c = 3*i + n for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15688696 is divided by 3922171.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 45 - 33. Find the common denominator of (-97)\/w*1\/2 and -131\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4476, 4479, 4484, 4491, 4500, 4511?\nAnswer: 4524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 153940 and 69452.\nAnswer: 716","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 4*p**2 - 2*p - 4. What is h(-2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 + 12*s**2 + 12*s + 16. Let b be (12\/(-5))\/(3 - (-16)\/(-5)). Let g be t(b). Let o = -104 + g. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (12 + -13)*8\/(-6). Which is the biggest value? (a) 1\/3 (b) -16 (c) g (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -225, 94, 4, 5 in decreasing order.\nAnswer: 94, 5, 4, -225","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:25 PM and 6:10 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4935, -9947, -14955, -19959?\nAnswer: -24959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*k - 3*k + 4*k)*(0*k - k + 2*k) - k**2 + 0*k**2 + 6*k**2 + k**2 - 3*k**2 + 4*k**2 as u*k + w*k**2 + l and give w.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.98 + -0.02. Let q = 1.1 + -2.8. Let d = q + 2.2. Which is the closest to -2\/3? (a) l (b) 1 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 4*w + 7. Let s(z) = 12*z + 21. Calculate -8*o(h) + 3*s(h).\nAnswer: 4*h + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 0*p = -240918. Let v = p - -304306. What is v rounded to the nearest 10000?\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.4 and 10.72.\nAnswer: 11.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 811 is divided by 34.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - -4 - ((0 - 1) + 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of -d**4\/4 - 2*d**3 - 7*d**2\/2 - 4*d - 37. Determine r(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3316, -3465, -3614, -3763?\nAnswer: -3912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/81 + ((-2566525)\/(-4914))\/53 + -20 + 10?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (3 + -7 + (-6)\/3)*(-5)\/615\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/106 and -19\/23840884?\nAnswer: 23840884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j - 5. Let w(c) = c**2 - 5*c - 9. Let v be w(-5). Let i = -48 + v. Let n(y) = -2*y - 9. Determine i*b(z) + 4*n(z).\nAnswer: -z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 - 8*d + 4. Give b(8).\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*d**2 + 2*d**3 - 140*d - 63*d + 35*d**2 - 18*d**2 + 0*d**3 to the form f*d**2 + p*d**3 + v + r*d and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 212 + 233387?\nAnswer: 233599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42343 - 42340 - 6*n + 84683.\nAnswer: -6*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + ((-17 - -14) + -11 + 2 - -4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5991 is divided by 2149?\nAnswer: 1693","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*f + 106*f - 330 = -4245 for f.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110001100000 - -1001?\nAnswer: 110001101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-88)\/748*1\/3*-24. Find d, given that -92\/17*d**2 + 72\/17*d - q + 30\/17*d**3 = 0.\nAnswer: 2\/5, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -0.4888?\nAnswer: -0.4888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 77.6, 0.4, -0.14, -49, -1\/3?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 333 and -589657?\nAnswer: -196355781","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from errrrrrerr. What is prob of sequence errr?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11790?\nAnswer: 2, 3, 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38 + -25 + (-15 - -5) + 22.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 45, 48, 61, 90, 141, 220, 333?\n\"Answer: z**3 - z**2 - z + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2 - 4554*b - 113225.\nAnswer: -(b + 25)*(b + 4529)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -4021 - 8*i - 65*i**3 + 6*i**2 + 64*i**3 + 4028. Let n(c) = c**3 + 3*c**2 - 3*c + 5. Let j be n(-4). Let a be (7 - 2)\/(j\/1). Calculate g(a).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c**2 - 3*c**2 + 4*c**2.\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 114*j**2 - 490*j**2 + 120*j**2 + 7*j**2.\nAnswer: -249*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/8*12\/(-3). Let x(w) = -b - 3*w**2 + 4*w**2 + 3. What are the prime factors of x(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**3 + 32344*g**2 - 96996*g.\nAnswer: -4*g*(g - 8083)*(g - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27600 = 23*f - 19550. Let w = 1419 - f. Which is bigger: w or -630?\nAnswer: -630","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33 - 8*g - 33.\nAnswer: -8*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -3*s**2 - 2*s + 2. Let r(k) = -k**2 - 5*k - 2. Let u be r(-5). Let z be h(u). Calculate the remainder when 23 is divided by (-2)\/z + (-35)\/(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.14 times 676?\nAnswer: 18346.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 2417.08 decades?\nAnswer: 290049.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17.0259 - -15.9. What is n rounded to 1 dp?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 97*p**3 - 5*p**2 + 7*p - 2. What is the units digit of t(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -18 in 0.4, -2, 0.122, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 36689, 73379, 110069, 146759?\n\"Answer: 36690*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -3*q + 216. Suppose -108 = -3*n + 7*n - 4*p, 2*n + 47 = -5*p. Let v = n + q. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12498079 is divided by 19.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -58 + -d?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13880343.\nAnswer: 3, 31, 149251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/(6\/3))\/1. Differentiate g + 0 + 0 + 0 - 5*x wrt x.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fifteen quarters of a week?\nAnswer: 37800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102 = 25*y - 22*y. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*f**2 + 10399*f - 20743*f + 10344*f - 5.\nAnswer: 3*f**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 299\/2?\nAnswer: 299\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 146698916?\nAnswer: 2, 7, 13, 17, 151, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 - 20*q + 53. Let l be u(17). Factor 30*z - 543*z**2 + 1085*z**2 - 543*z**l.\nAnswer: -z*(z - 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 + 4 + 2\/(-8). Which is the closest to 2\/7? (a) 2 (b) y (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 2.55.\nAnswer: -0.255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3128\/(-2)*(-23)\/46?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -1*sqrt(2736) - (-1 + sqrt(2736))*3)*2.\nAnswer: -96*sqrt(19) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1266 (base 8) in base 9?\nAnswer: 851","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/10*11\/(484\/16).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82 + 1379 = w. Suppose -2*u - 1263 = -z, -4*z + w = 5*u - 3565. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24427685357 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -3*y**2 - 35*y + 5. Suppose 2*k = -12 - 6. Let r be b(k). What is the greatest common divisor of 385 and r?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1936?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of -121*s**8\/252 + 22*s**7\/315 + 161*s**6\/120 - 11*s**5\/45 + s**4\/72 - 301*s**2 - 3*s. Find u such that m(u) = 0.\nAnswer: -1, 0, 1\/22, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -k - x - 0, 79 = 3*k - 5*x. Put -4, k, -3 in decreasing order.\nAnswer: k, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from {w: 1, e: 3, m: 16}?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to 78\/21659?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 PM and 8:56 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 11*n + 783. Suppose 82*r = n*r + 155. Which is smaller: r or -30?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/10*30\/(-78)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2096 + -2101. Let m(v) = 17*v**2 + 4*v - 3. Let l(j) = -17*j**2 - 5*j + 4. Calculate p*m(x) - 4*l(x).\nAnswer: -17*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -376 - -362. Let o = -13.999999849 - s. What is o rounded to 7 decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 158 a factor of 12008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -15ba9b + 2?\nAnswer: -15ba99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1981)\/28)\/(1\/(-76)) - -1. What is the hundreds digit of v\/16 + (-29)\/232?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 2*y**2 + 6*y + 4. Let d(x) = x + 5. Let z be d(-3). Let h be (-35)\/10 - (-1 - (-1)\/z). Let s be c(h). Solve -s*j = -j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -79 in -1\/75, 2, -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 31*w**2 + 47*w + 90. Let f(o) = 10*o**2 + 15*o + 29. What is 13*f(c) - 4*r(c)?\nAnswer: 6*c**2 + 7*c + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from vwvvvwv.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -14410600 to the nearest one hundred thousand.\nAnswer: -14400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -7*(1 + (-346)\/14).\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 18041?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*x - 7 + 2 + 4 + (-x + 3*x - 6*x)*(4 + 0 - 2).\nAnswer: -11*x - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1110111100110001011010 (base 2) to base 8.\nAnswer: 16746132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 3*n**2\/5 + 558*n\/5 + 25947\/5 = 0.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5197 rounded to the nearest one hundred?\nAnswer: 5200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*g = 3941 - 14873. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6 - (326\/56 - ((-981)\/(-63) + -16)). Sort -0.02, l, -6, 5.\nAnswer: -6, l, -0.02, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 4*g - 15 = -4*m, -12 = -5*m - g. Let t = -18 + 4. Let p be (-21)\/t*4\/m. Solve 5*z = -5*r + 20, -p*z = -r + 5*r - 8 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-110)\/572*51\/(765\/12)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of b**7\/42 - 33*b**5\/20 + 7*b**3\/3 - 42*b. What is the second derivative of j(y) wrt y?\nAnswer: 20*y**3 - 198*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2183 - 1478. Suppose 4*z - z - b = 0. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 2 b when four letters picked without replacement from {x: 2, b: 4}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22*v - 3*v**2 + 22*v)*(2*v**3 + 0 + 0) + (7*v + 2*v - 26*v)*(v**4 - 4*v**4 - 16*v**4).\nAnswer: 317*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 0 + 16 = 4*s, -4*f = 3*s - 1. Let d = -2 - f. Suppose d*y = -l + y, l - 3*y + 10 = 0. Solve -l*p - 2*a + 9 = 0, 0 = -3*p + 3*a + a - 5 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 725139987 not equal to 725139986?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.36 and -309.\nAnswer: 111.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 24*o. Let i be s(1). Suppose 3*h - i = -t, -h - 32 = -3*t - 2*h. Calculate the highest common factor of 6 and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 8*x - 7. Let u(d) be the first derivative of d**2\/2 - d + 34. What is n(w) - 6*u(w)?\nAnswer: 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 25972849?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 327334826?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 174 - 162. Let y be 6*(-8)\/i - (1 - 5). Solve y = -2*m - 6, -3*q - 15 = 5*m for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 111 + 51. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(100\/15)*(-1364)\/(-310))\/((-42)\/14)?\nAnswer: -11\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -519, -1135, -1911, -2925, -4255, -5979, -8175?\n\"Answer: -13*l**3 - 2*l**2 - 519*l + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3 + 696*f**2 + 2760*f + 2752.\nAnswer: 2*(f + 2)**2*(f + 344)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) 298\/213 (b) 134 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 92191.06 decades to years.\nAnswer: 921910.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y + 1. Let n(s) = 2*s**2 + s + 2. Calculate -3*g(a) + n(a).\nAnswer: 2*a**2 - 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 25030730 rounded to the nearest 100000?\nAnswer: 25000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1216*m**5 + 2*m**4 + 9*m**3 + 1321*m**2 - 13 wrt m?\nAnswer: 72960*m**2 + 48*m + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g**3 + 3*g - 9*g**3 - 3*g.\nAnswer: -11*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*u**4 + 9*u**4 + 2*u**4 + (12*u - 12*u - u**2)*(2*u**2 - u**2 + 0*u**2).\nAnswer: 4*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -30*f**3 + 90*f - 60. Let n(g) = -g + 1. Let s(x) = 90*n(x) + u(x). Differentiate s(l) with respect to l.\nAnswer: -90*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -456353678*p**2 - 141150044?\nAnswer: -912707356*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 377494?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 285 and 5.\nAnswer: 1425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p**2 - 3*p**2 + 3*p**2.\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 21691477.67346 take away 17?\nAnswer: 21691460.67346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 339372629 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*u + 15 = 32*u. Suppose z + 0*z - 916 = -u*s, -2*z = 3*s - 911. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yq when two letters picked without replacement from yysysysqyyyyyyssyy.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 111.66 - 109. Let d = 2.3 - x. Let i = -0.46 - d. Which is smaller: i or -1\/39?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 355886537 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 24*c**2 - 394*c - 2296. Give y(-6).\nAnswer: 932","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -692 + 697. Put -0.3, 2, h, -4 in decreasing order.\nAnswer: h, 2, -0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 + 14*z + 3. Let v be n(14). Let w(r) be the second derivative of 1\/5*r**v - r + 0 + 2\/5*r**2 - 1\/15*r**4. Determine l so that w(l) = 0.\nAnswer: -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 v when two letters picked without replacement from vvivvvvvvvivvvivvviv?\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 13*q - 540. What is the remainder when q is divided by 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 174*s + 34*s - 9198 = 646*s for s.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2552 = 70*n + 164*n - 680 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -7994*s - 319713. Calculate c(-40).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + -3. Suppose 59 = 3*h + r, 5*h - f*r + 24 = 104. Calculate the least common multiple of h and 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -1.37\nAnswer: -2.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -2*j**3 - 8*j**2 + j + 9. What is the units digit of t(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, o: 11}. What is prob of picking 1 o and 2 c?\nAnswer: 33\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 14\/13, 0.5, 0.029, 0, -1\/4 in decreasing order.\nAnswer: 14\/13, 0.5, 0.029, 0, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -307303 + 10*r + 307303.\nAnswer: 10*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2 - 27011*d + 22135590.\nAnswer: (d - 26165)*(d - 846)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 3*x = 32, x = -4*c + 12 + 12. Suppose s + 6 = 4*u - 46, c*u = -4*s - 103. Is (-1 + 2 + s)*-1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 646211?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -30 + 40. What is the least common multiple of u and (0 - -14)*(-2)\/(-4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 - 6*s**2 + s + 57. Let q be k(0). Is 55 < q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57277 is divided by 57265?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 w when two letters picked without replacement from xqwcxhc?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 91712 * -3\nAnswer: -275136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(6)\/sqrt(3) + 2)**2.\nAnswer: -4*sqrt(2) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3899388, 3899386, 3899384, 3899382, 3899380?\nAnswer: 3899378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/(-4)*684\/25137\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -93 - -96. Which is smaller: -6\/13 or q?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4 - ((-117)\/(-54) + (-12)\/(-9)). Suppose 0 = -3*j - 5*b - 4, -2*b = -5*j + 3*b + 20. What is the third biggest value in -1\/2, j, 2\/3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.4757609 minus 220006.02?\nAnswer: -220007.4957609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -14*j**3 + 3*j**2 - 2*j - 6. Let v(b) = 13*b**3 - 2*b**2 + b + 4. What is -2*n(s) - 3*v(s)?\nAnswer: -11*s**3 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/1470398 and -3\/413.\nAnswer: 10292786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) -0.5 (c) -5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -7*q**2. Let s(p) be the second derivative of p**6\/36 - p**3\/2 + 21*p**2\/2 - 3*p - 2. Let g(r) be the second derivative of s(r). Calculate g(x(b)).\nAnswer: 490*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = -5*k - 6874 + 6869, -r + 3*k + 3 = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 10 = 2. Suppose 0 = 4*m + w*p - 1 - 3, -2*p + 1 = m. Which is greater: m or 1\/25?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 153030 - -3?\nAnswer: 153033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) + -3*(sqrt(171) - sqrt(171)*2))\/(sqrt(9) - sqrt(144)*3 - sqrt(9)).\nAnswer: -sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16838 - -26034. What is the remainder when q is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -137 - -193. Suppose -164 = -3*p - j. Let l be (405\/(-5))\/(5 + 3 + 38\/(-4)). What is the highest common factor of p and l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -560635b0 - 1?\nAnswer: -560635b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 287 = 5*j - 8. Let b(x) = 4*x**3 + 4*x**2 + 4*x + 2. Let k be b(-2). Let a = j + k. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1002111112022 (base 3) in base 4?\nAnswer: -2031300332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8592?\nAnswer: 2, 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5056 and 158.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 283951 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25*f**2 - 50*f**2 - 13*f**2 - 2*f + (-3*f - f + 5*f)*(-2*f - 3*f + 4*f))*(-3*f**2 + 0*f**2 + 2*f**2).\nAnswer: 39*f**4 + 2*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -37*a + 2398. Let r be j(64). Calculate the greatest common divisor of r and 36210.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of -w**4\/4 + 5*w**3 - 11*w**2\/2 - 32*w - 172. Let h be a(14). Solve -h = g - 15 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -151 + 103. Let d = -193\/4 - u. Which is smaller: 1\/3 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 280\/339 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttii when four letters picked without replacement from cctciitichn?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + -2 - (-6 + 7)*13?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-72656)\/(-2280) + (4\/30 - 0). Calculate the highest common divisor of u and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -3*k. Let a(d) be the third derivative of d**5\/10 + 45*d**2. What is a(x(i))?\nAnswer: 54*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 755*i**2*z**3 - 2*i*z**3 + 133*i*z wrt i?\nAnswer: 1510*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10*976\/(-40)*(-4)\/(-2)*(-45)\/(-180).\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -75 - -75. Let q(o) = -o + 1. Let n(a) = 2*a - 38. Let i(p) = -n(p) - 3*q(p). Is i(u) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w + 14. Let d be n(12). Let s be (-4)\/22 + 272\/44. What is the highest common divisor of s and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33743, 67486, 101229, 134972?\nAnswer: 168715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -57829.46756 to 0 dps.\nAnswer: -57829","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -623 - -620. What is the third biggest value in 0, m, -2, -0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/40 and -37\/574?\nAnswer: 11480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + 1. Let y(z) = 8*z**2 - z + 1. What are the prime factors of y(p)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -8*x. Let d be j(-3). Find the common denominator of 3\/(-2)*637\/105 and 59\/d*(-4)\/3.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6479*z = 13*l - 6477*z - 4, -5*l + 5*z - 10 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2113 and -18.74.\nAnswer: 2094.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/((a*a*a**(-2\/3)*a)\/a))**(-7)\/((a\/((a*a\/(a\/a**(-9)))\/a))\/a)**30 assuming a is positive.\nAnswer: a**(-803\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 o when two letters picked without replacement from {q: 2, v: 5, l: 3, d: 1, o: 1}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -11\/2 (b) -0.4 (c) -18 (d) 0.043559\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*c + 28 + 6*c - 2*c - 4*c**2 - 3*c.\nAnswer: -4*c**2 + 7*c + 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 18\/63 + (180840\/28)\/5. Suppose 2*z - 724 = q. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 312 is divided by 166.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - 4*a. Let c = 21.09 + -21. Let k = -4.91 - c. Is k > a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.151768 - 22.31200672.\nAnswer: -22.16023872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 1:27 PM?\nAnswer: 8:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 1 - 2)*(2 + 14 - 3)*(5*k**2 + 24 - 24)*(4 + 0 - 3 + 2 + 3 - 4 + 0 + 2 - 4 + (0 + 1 - 4)*(1 - 2 + 0)) in the form s*k + o + z*k**2 and give z.\nAnswer: -195","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1910546, 1910530, 1910524, 1910528?\nAnswer: 1910542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 + 205*b**2 - 406*b + 1314. What is w(-207)?\nAnswer: -342","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3929.\nAnswer: 3929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 w when four letters picked without replacement from {y: 5, w: 8, d: 2}?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 3*47\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**3\/9 - 3322*n**2\/3 + 4055792*n\/3 + 620365088\/9.\nAnswer: 2*(n - 2516)**2*(n + 49)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 + 14. Let t be (-1)\/(j\/(-9))*4\/15. Factor 6\/5*y**2 - 6\/5*y**3 + t*y**4 - 2\/5*y + 0.\nAnswer: 2*y*(y - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8537787?\nAnswer: 3, 37, 25639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -15*y - 6. Suppose 4*w + 19 + 5 = 0. Calculate the remainder when h(w) is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000762 to seven dps.\nAnswer: 0.0000076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 89641883 to the power of 1\/6, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/(-4))\/((-7)\/140). Solve -9*w - m = -14*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffgf when four letters picked without replacement from fgffg?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -597, -609, -621?\n\"Answer: -12*k - 585","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 0, 634, 51 in decreasing order.\nAnswer: 634, 51, 0, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 3:04 PM?\nAnswer: 2:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80 is divided by 47?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000005727758 to six decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1050108*a + 9 = 1050105*a, 7*a = -3*q + 138 for q.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 21.5864 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 50 in 1\/5, -1\/10, -70\/3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25.82961 millilitres to litres.\nAnswer: 0.02582961","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2801 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of 3*t**4\/4 - 5*t**2 - 34*t + 32. Differentiate u(o) wrt o.\nAnswer: 9*o**2 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*i - 24559*y + 24561*y - 103, -2*y = 5*i - 165 for i.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3c3 (base 16) to base 5.\nAnswer: 12323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - 3 - (0 + 1) - -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -4 + (-1*sqrt(176))**2 + 0 + (1*sqrt(176))**2.\nAnswer: 353","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21 + 21.5. Let t = -0.3 + 0.1. Let h = t - -0.2. Which is the closest to h? (a) -1 (b) 3 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -19, -856\/3, 177 in decreasing order.\nAnswer: 177, -5, -19, -856\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, s: 4, x: 3, e: 4, l: 1}. Give prob of picking 1 o, 1 e, 1 x, and 1 s.\nAnswer: 48\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-3) - (-26)\/(-78).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 880 and 1584?\nAnswer: 7920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-38)\/(-3325))\/(13\/(-65)).\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16575)\/(-2600)*3\/51.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -0.5, 0.08, -2, -3\/5?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*k - 25*k - 33*k + 79*k.\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, -3, 45, -1, 1.\nAnswer: -3, -1, 1, 25, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(198))\/sqrt(11) - (sqrt(72)*1)\/sqrt(4))\/(2*sqrt(384)*-1 - (1*sqrt(384)*-5 - sqrt(384))).\nAnswer: sqrt(3)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = f - 15. Suppose f*h - 5*p + 9025 = 0, -h - 1094 = 4*p + 1886. What is h rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t**2 + 2*t - 35 = 0 for t.\nAnswer: -7, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -11\/6 (b) -9 (c) 2 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + -113030?\nAnswer: -113032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81545913?\nAnswer: 3, 3020219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 - 23. Let c = 0 - d. Let j(a) = -a**2 - 2*a + 7. What is the remainder when c is divided by j(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93264 a multiple of 193?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, -4, 3, 1013, 153.\nAnswer: -4, -2, 1, 3, 153, 1013","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -20*b - 23 + 36 - 18 + 44 + 42. Calculate y(3).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -76409\/44 + 6947\/4. Which is the second smallest value? (a) m (b) 331 (c) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -144704 - -145057. Let q = -293 - -646. Is y <= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2622.042ug in milligrams?\nAnswer: 2.622042","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 7:37 AM?\nAnswer: 9:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, -1, -4, -370, 6 in decreasing order.\nAnswer: 6, 4, 2, -1, -4, -370","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-46 + 9 - -37) + -8 + 1 + -3.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*b - 16 = -14*b - 2*u, 0 = 4*b - 5*u + 28 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*m**2 + 2*m**2 + 0*m**2)*(-12*m - m + 3*m)*(-93 + 200 - 96) + 2*m**3 - 4*m**3 + 0*m**3 in the form l*m**2 + n*m + g*m**3 + f and give g.\nAnswer: 218","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(0 + sqrt(1700) - sqrt(1700)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.148 - -4.148. Which is the closest to 0? (a) h (b) -1\/6 (c) 9\/17 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*q**6 + q**2 + 2*q?\nAnswer: -240*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = 2*p - 5*i, 3*i - 120 = 4*p - 7*p. Let b = 37 + p. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 21 = -5*q, 5*q - 3*z - 2*z = 30 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.6 - -0.567. What is l rounded to two decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1724?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-6)\/(x**3*x*x)*(x\/x**8*x)\/((x\/x**(-2\/7))\/x*x*x))**(-8) assuming x is positive.\nAnswer: x**(1080\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.28 and 642.\nAnswer: 642.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3465044607.\nAnswer: 3, 193, 5984533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0.164, -3 in decreasing order.\nAnswer: 0.164, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + (2 - 15) + 3 + 3 + -14?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -87 * -1404268\nAnswer: 122171316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does -6\/91 = 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (12\/7)\/((-4)\/(-14)). Suppose d*s - 9*s = -9. Let f(m) = m**2 - 2*m - 1. List the prime factors of f(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 10*l**2 + 13*l - 4. Let s(a) = -4*a**2 - 33*a + 1. Let j(m) = -3*m**2 - 15*m + 1. Let k(c) = 5*j(c) - 2*s(c). Determine 5*f(z) + 7*k(z).\nAnswer: z**2 + 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -2\/213 (c) -0.1 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 - 2*b**2 - 2*b - 1. Let t be c(-2). Let m be ((-150)\/4)\/t*-2. Suppose 0 = -2*k - 3*k + m. Solve -k*l + 5 = 15 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 175 a factor of 58818?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a + 3*f - 9, -f - 4 = -2*a + f. Let j(q) = -4*q**2 + 3*q**2 - a*q**2 - q**2 - 3*q - q**3. What is j(-3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1403877 micrometers in millimeters?\nAnswer: 0.0001403877","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h**2 - 4*h + 2. Suppose -4*p - 16 = -2*g + 18, -14 = -g + p. Let b(o) = -6*o**2 - 11*o + 6. Give g*r(w) - 4*b(w).\nAnswer: 2*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = -5*r + 3*m, -26 = -2*r - 0*r + 3*m. Let c = r + -5. Suppose 594 - 52 = c*q. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2190 - 4646 + 2334)*(2*x - 3*x + 2*x)*(-x + 2*x + 2*x).\nAnswer: -366*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2411 = 65*w - 2965 + 761 for w.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5442 - 5461. Let c(q) = q**2 + 18*q - 36. Calculate c(j).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - ((-1 - -4) + -2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*d - 43*d = 3*p + 25, -4*p + 3*d - 17 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 426*a**5 - 10*a**3 + 12635*a?\nAnswer: 8520*a**3 - 60*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*j + 14 = -21*j. Find the third derivative of -w + 2*w - 50*w**2 - 50*w**2 + 104*w**j + 41*w**3 wrt w.\nAnswer: 246","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48377.916ms in hours?\nAnswer: 0.01343831","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 1486*o**3 - 7*o**2 - 25 - 1485*o**3 + 1 + 9*o. Suppose -4*q + 3*q + 4*y - 5 = 0, 2*q - 23 = -3*y. Calculate the remainder when c(q) is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-7 - (-2 + 3)). What is the nearest to 0.05 in 5, 3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/5 - (-846)\/(-90). Let j be c\/(-1 - 0) - -2. Find the second derivative of 3 - 3 - j*m + 10*m**3 + 0 wrt m.\nAnswer: 60*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -0.1, 0, -8 in descending order.\nAnswer: 0.1, 0, -0.1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 - 9*y + 20. Is 9 a factor of h(13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 3 + 0 + -1.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2 + 3*i**2 - 4*i**2. Let u(t) = -26*t**2 + 12*t**2 + 3*t**2 + 10*t**2. Give u(z(s)).\nAnswer: -4*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1408 = -46*n + 38*n. Let v = 21 - 5. What is the greatest common factor of n and v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 114, 8052, 31664, 78786, 157254, 274904?\n\"Answer: 1306*o**3 + o**2 - 1207*o + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2612386 and 644.\nAnswer: 5224772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p\/p**(-4))*p*p*p**(1\/10)\/p*p)**19 assuming p is positive.\nAnswer: p**(-551\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 16 = 4*z, -53264*l + 53263*l = -3*z - 14 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 209*c - 47009. Give r(224).\nAnswer: -193","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -73697659.\nAnswer: 3\/73697659","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -f**3*v + 471*f - 6603*v wrt f.\nAnswer: -3*f**2*v + 471","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8687\/(-170) - (8 - 1620\/200).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.9 - 5.9. Suppose 0 = 3*k + 2*u + 13, -k - 2*k + 5*u = 20. What is the closest to -2 in k, 0.07, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15033936 to the power of 1\/3, to the nearest integer?\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23 by -4759.\nAnswer: -23\/4759","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (u**2 + 4 - 4)*(1 - 5 + 2 + 2 - 12 + 1 + (2 + 0 - 4)*(5 - 1 - 3)) in the form f*u + o*u**2 + a and give o.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(2736)*1 + -5 - (1 + -1*sqrt(2736) + sqrt(2736))**2)*-5.\nAnswer: -60*sqrt(19) + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 22*l**2. Let n be x(-1). Suppose -94*f - 303*f + 150*f + 741 = 0. Solve -2*p - 4 = -f*z - 2, -3*z - n = 4*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2.1 in -5, -4, 0.6, 0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -28 * 463.74\nAnswer: -12984.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 q, 1 g, and 1 m when four letters picked without replacement from {q: 5, d: 5, g: 2, m: 3, i: 1, r: 4}.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 128*p + 1165 + 1651 = 0 for p.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -221 - -1979\/9. Let n = -108\/7 - -1517\/77. Calculate the common denominator of c and n.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2444 is divided by 90?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 114851933 to the power of 1\/3, to the nearest integer?\nAnswer: 486","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -7083, -56705, -191417, -453765, -886295, -1531553, -2432085?\n\"Answer: -7091*y**3 + y**2 + 12*y - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of -1\/2*t**2 + 7*t - 28. Suppose 5*a - 5 = 4*a. What is l(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 51203, 204853, 460911, 819371, 1280227?\nAnswer: 1843473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 363430737 - 363430735.17999989. Let s = 1.82 - t. Round s to 7 decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -167143*b**4 - 81*b**2 + 531.\nAnswer: -4011432*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1901 and 93206030.\nAnswer: 1901","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 - 10*t**2 + 12*t + 5. Let j be (266\/(-35) - 0)*5\/(-2). Suppose 2*x + 2*x - 4*b + 36 = 0, 4*b + j = -x. Calculate v(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 5*p = 23 + 14, -5*c - 4*p = 0. Suppose 0 = 137*v - 146*v + 27. Sort v, -5, c.\nAnswer: -5, v, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 16609 = 3*z, -2*u - 11062 = -25*z + 23*z. Does 3 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3945 and 225?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 11, u: 1, s: 5}. What is prob of sequence ssz?\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/112*240\/120*8.\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 883?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 4*g**2 - 13*g + 1. Calculate d(4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 9:50 AM?\nAnswer: 4:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -778, -1554, -2330, -3106?\nAnswer: -3882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 609 = 3*v, 0 = -4*v - 1 - 7. Let n = 231 + -325. Let k = c + n. What are the prime factors of k?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7*1*(-65*24\/120*-1 + -4)\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + -1 + 3 + -4 - 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30765610?\nAnswer: 2, 5, 83, 101, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*m**4 + 221181 - 111398 + 14*m**3 - 110947 with respect to m.\nAnswer: 36*m**3 + 42*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:52 AM and 3:33 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 6104014?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91467?\nAnswer: 3, 10163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*p**3 + 11*p**3 + 9*p**3)*(-4*p - 3*p + 5*p).\nAnswer: -2*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve i**4\/2 - 1284*i**3 + 875610*i**2 - 64787688*i = 0 for i.\nAnswer: 0, 84, 1242","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of 2*t**2 + 177. Let u(a) = 2*a**2 + 22*a. What is f(u(l))?\nAnswer: 8*l**2 + 88*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3144547 + 13?\nAnswer: 3144561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**3\/c**(1\/3))\/(c**1)**(-20) assuming c is positive.\nAnswer: c**(68\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 157067 is divided by 123?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19900*k**3 - 14436*k.\nAnswer: -119400*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 266693.6 rounded to the nearest one thousand?\nAnswer: 267000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142*h - 1438 - 2970 - 3118 = 0 for h.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 3 + 2)*(3*k + k - 2*k) + 4*k - 8*k - 21*k + (3 - 2*k - 3)*(-1 + 3 - 3) as j*k + a and give j.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 6, -0.1, -2\/27, 0.1, -9\/7?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 762, 5412, 13224, 24204, 38358?\nAnswer: 55692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 0*y + y**3 - 7*y - 8 - y + 5*y**2. List the prime factors of h(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 8*v**3 - 5*v**2 - 35*v + 123. What is a(4)?\nAnswer: 415","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-6)\/(-7))\/(4\/14). Let u(b) = b**2 - 6. Let h be u(m). Solve w + 7 = -2*r, 2*r - 4*w + h*w = -9 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 + 8. Let w(x) = -x**2 - 2. Let j(u) = 3*u**2 - u + 6. Let t(m) = -2*j(m) - 7*w(m). Determine t(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - 2349?\nAnswer: -2350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 385176088?\nAnswer: 2, 11, 4377001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(5)*-3 - sqrt(5))*6.\nAnswer: -78*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 325723361 + -0.4.\nAnswer: 325723360.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/8)\/(s**4\/s)*(s\/(s*s\/((s**(1\/6)\/s)\/s)*s))\/(s**0*s))**(-36) assuming s is positive.\nAnswer: s**(555\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(882)*-1)\/(sqrt(576)*-3*5).\nAnswer: 7*sqrt(2)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -49, -142, -233, -322, -409, -494, -577?\nAnswer: -658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -19 + (-177)\/(-9) - (-20)\/24\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**2 - 6*t**2 + 3*t**2)*(t + 4 - 4)*(-t + 2*t + t).\nAnswer: -2*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.0000034 + 0. Round w to five dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 408743608 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27750 is divided by 117.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 - 1)*(16*s**3 + 2*s + 2 - 5*s**3 - 2*s**3).\nAnswer: 27*s**3 + 6*s + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -654093, -1309154, -1964217, -2619282, -3274349, -3929418?\nAnswer: -4584489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - -456340?\nAnswer: 456337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 20 + 96b8b?\nAnswer: 96bab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 - 3*q**2 + 8*q - 10*q + q - 4. List the prime factors of l(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 80 and 90?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 58 + -60 - (0 - -1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that d**4\/2 + 2*d**3 + 3*d**2\/2 = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*u**3 + 15*u**3 - 148 + 150 - 2*u**2 to j*u + n + z*u**3 + k*u**2 and give z.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21.1 + -5.9. Let m = u - -27.5. Sort 0.1, -0.01, m in ascending order.\nAnswer: -0.01, 0.1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8878?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 + -8. Let d be -6 + 4 + (-12)\/m. Let k(x) = -x - 4. What is k(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 - 7. Let t = 3 - n. Calculate the remainder when 36 + 1*-2 + t is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8765635195 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -56 (base 9) to base 7\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9943 - 9943.5. Let y = -26.4 + 24. Which is the biggest value? (a) y (b) -3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d**3 + 0*d**3 - d**3 + (0*d**2 - 2*d**2 + 4*d**2)*(2*d - 4*d + 4*d).\nAnswer: 5*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -59160 rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 64*r + 37*r - 10*r to l*r + w and give l.\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 799*n - 806. Give d(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 125\/45 + (-4)\/(-18). Suppose -80 = -18*f + 28. Calculate the highest common factor of v and f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.08334 times -20\nAnswer: -1.6668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 33.549523 + 2.451297. Let v = -0.01 - 35.99. Let n = v + u. Round n to 4 decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from eeheeeeeeeeeeee.\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 54948 and 1368?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -59 + 135. List the prime factors of r.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 5*m - 75 = 0, 3*q - m + 3*m = -62. Let g = q - -33. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a gram in milligrams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in seven halves of a microgram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -6*u**3 - 2*u**2 + 856*u - 853. Determine m(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 94 - -38. Let c(o) = 9*o**3 + o**2 - 2*o + 1. Calculate the remainder when (q + 4)*7\/28 is divided by c(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - -0.5. Let g = -0.39 + 0.59. Which is the second biggest value? (a) 1 (b) g (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 - 10*r - 7. Let n be s(-9). Suppose n*j + 3*j - 80 = 0. Solve -v - 3*v + j = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010001001111 (base 2) in base 9?\nAnswer: -7116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 454\/1413?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 461 - 459. Let i(k) = k**2 + 0 + z*k**2 - 1 + 1. Let g(c) = -15*c + 1. What is g(i(y))?\nAnswer: -45*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, p: 2}. What is prob of sequence ttp?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 335151?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -613, -758, -903?\n\"Answer: -145*h - 468","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5282.\nAnswer: 2, 19, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28, 76, 170, 322, 544?\nAnswer: 848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*l*v**2*w**2 + 4*l*v*w**2 - 2*l*v*w - 2*l*w - v**2*w**2 - 14*v**2*w wrt w?\nAnswer: 18*l*v**2 + 8*l*v - 2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (7\/(-36) - 0)*(-436)\/(-28) and (0 - (-18)\/160)*16\/24.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = -193 + 193 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1127363?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -579.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -4626857.\nAnswer: -1\/4626857","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 47 = 45. Let f = -1 + d. Suppose -2*j + 97 = i + f, -5*i - 143 = -4*j. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - c = 13, 2*l + 4*c = -c + 3 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/26*-14*1 + 2. Which is the second smallest value? (a) -0.3 (b) -14 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 PM and 4:04 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-four fifths of a decade in months?\nAnswer: 1296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t**3\/t*t*t))\/t**(3\/5))**(2\/53)\/(((t*t*t**(-1\/5)*t)\/t)**36)**48 assuming t is positive.\nAnswer: t**(-824292\/265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -238271418 divided by -147354\nAnswer: 1617","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 + -8)*(-56)\/3. Calculate the greatest common factor of p and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1742 and 21224138?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -221*q - 456*q - 564*q - 436*q + 209*q to l + r*q and give r.\nAnswer: -1468","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 - (-9)\/(-6)*-4. Let r = 402 - 392. Let g be ((-45)\/r + 4)*0. Solve g + q = 4*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence alp when three letters picked without replacement from lnxplaa.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7934 - -15557. Let h be f\/27 - (-2)\/(-6). Let d = h + 45. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -66.786 times -5\nAnswer: 333.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/7, 0.3, 0.01 in decreasing order.\nAnswer: 0.3, 0.01, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -25*x**2 + 121*x + 27. Determine m(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, 2, -933, 677, -4 in ascending order.\nAnswer: -933, -5, -4, 0, 2, 677","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5357 = -11*v - 5412 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 150827 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 909?\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -2*o**2 - o - 3 + 0 + 5. Let c be l(0). Suppose -939 = -c*i - 3*v + 898, -v = 4*i - 3689. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - -10) + 43 + -40. Let z be 4\/14 + 52\/i. Solve -f = -4*d - 2*f - 20, -z*d = -2*f + 8 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 39469 times -434.6\nAnswer: -17153227.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 94116.13ml in litres?\nAnswer: 94.11613","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7103088?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - b**2 + 29362*b - 29356*b + 4*b**3 - 12*b**2 as r*b**3 + o*b**2 + g*b + v and give g.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = 5*u - 19, 4*n + 11 = 7 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 60855716 to the power of 1\/3, to the nearest integer?\nAnswer: 393","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21902*x = 21779*x + 1130 + 1084 for x.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 32369 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -291059 + 129536. Let s = -12074 - -116497. Let q = d + s. Round q to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1326 * 1.37166.\nAnswer: 1818.82116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of 0*q**3 + 1\/20*q**5 - 1\/8*q**4 - 9 - 1\/4*q + 1\/4*q**2. What is v in g(v) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -y - 8, -k - 2*k - 21 = -3*y. Suppose 3*a - 13 + y = 0. Let j(u) = a*u + u**2 - 8*u + 5*u. Let q(w) = 4*w. Give q(j(r)).\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -12660, -11774, -9374, -4704, 2992, 14470, 30486?\n\"Answer: 126*j**3 + j**2 + j - 12788","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, c: 1, t: 3, j: 4, x: 6}. Give prob of sequence cju.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*m**5 - 5020384*m**4 - 3552684*m wrt m?\nAnswer: 40*m**3 - 60244608*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 163*g**4 + 8*g**3*q**3 + 4380*g**3 - 7229*g**2*q**3 + 7688*g**2*q**2 - 2*g*q**3 wrt g.\nAnswer: 3912*g + 48*q**3 + 26280","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148 is divided by 46?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 47\/(-7) + (-48)\/168. Which is greater: v or 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*i + 80 = -152 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2\/7))**11)**(-20\/7) assuming g is positive.\nAnswer: g**(440\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 99*u - 106*u + 4410. Calculate the least common multiple of 630 and u.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24414829?\nAnswer: 19, 1284991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {h: 1, l: 2, n: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + i + 80 = 0. Does 5 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (26\/(-1365)*-5)\/((-8)\/(-7896)).\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -2*j**3 + 9*j**2 - 2*j + 12. Suppose -5*y - 5*l + 35 = 0, -7*l + 2*l + 20 = 2*y. Let p be t(y). Do p and -23 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of -n**5\/10 - n**4\/4 - 4*n. Find the third derivative of h(w) wrt w.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 9*x - 95. Let m be b(11). Sort m, -3, -1, -20 in descending order.\nAnswer: m, -1, -3, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 3400*c + 6797. Let d be w(-2). Let u(h) = -2 + h**2 - 4*h - 3*h**2 + 0*h**2. Determine u(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of 23*d**8\/168 + 7*d**5\/12 - 67*d**2 - 1. What is the third derivative of w(q) wrt q?\nAnswer: 2760*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -13. Let f = q + -3. Let t = f - -2. Calculate the remainder when 18 is divided by t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.0531 + 221.9531. What is j rounded to the nearest ten?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 18263?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3382 a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -108*b**4 + 188*b**2 - 11*b - 11. Let q(r) = 36*r**4 - 63*r**2 + 4*r + 4. Let n(i) = -11*q(i) - 4*y(i). What is the third derivative of n(s) wrt s?\nAnswer: 864*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10001011111100 (base 2) to base 8\nAnswer: -21374","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**22)\/(m\/(m*m**8\/m*m)*m)*m**(6\/13)\/m**(-1\/6) assuming m is positive.\nAnswer: m**(2389\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + f + 4480, 0*v - 5*f - 1101 = -v. Let c = 4385\/4 - v. What is the common denominator of 4\/14 - 1185\/(-42) and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*g**4 - 9*g**3 + 275*g**2 wrt g?\nAnswer: 72*g - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12267948 and 54264.\nAnswer: 466182024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-17)\/6)\/(155\/(31000\/(-300))*1\/27)\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 86*p**2 - 2*p - 1. Is l(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -5*x**3 + 2*x**2 + 4*x + 1. Let u = -42 + 40. Let s be d(u). What is the derivative of s - 2 - 8 - 16 + 7*v**4 wrt v?\nAnswer: 28*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (11\/6 + 39\/(-26))*1032.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 98548647 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -25*x**3 + 7*x + 7. Let v(d) = -17*d**3 + 5*d + 5. Let j(z) = z**3 - 34*z**2 - 36*z + 28. Let l be j(35). What is l*v(q) + 5*i(q)?\nAnswer: -6*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -d (base 16) in base 4?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 4*o**2. Let r(s) = -156*s. Determine r(y(l)).\nAnswer: -624*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1175, 219 in decreasing order.\nAnswer: 1175, 219, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k**(-3)\/k))\/(k*k**(2\/15))*((k*k\/(k**(1\/3)\/k)*k*k)\/k*k)**(-27\/2) assuming k is positive.\nAnswer: k**(-887\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*h*h\/h**5*h))\/h*h*h\/h**(11\/3)*h**9*(h\/(h**(-8)\/h*h)*h)\/h assuming h is positive.\nAnswer: h**(52\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + x + 2 = -3, 0 = 3*h - 3*x - 15. Suppose -2*s + 2 + 0 = h. Is s < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 4*x + 3*t + 12, t - 3 = x. Let z be (0 - 2)*1\/2. Let v be (-14)\/(-4) - (-2)\/(-4). Put x, z, v in descending order.\nAnswer: v, z, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/((-6)\/(-3))*((-126)\/(-553))\/18?\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42666*q - 15616 = -42922*q for q.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -3*h**3 + 6*h**2 - h + 6. Let i be m(5). Let r = -206 - i. Suppose 103 + 50 = 3*z. Calculate the remainder when z is divided by r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 3*d = d - 20, -4*c - 3*d = 6 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 + 9\/2. Let h = 5.123 - 0.123. What is the second smallest value in h, 6\/11, o?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r. Let h(x) = -23*x - 8137754. Determine a(h(d)).\nAnswer: -23*d - 8137754","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (515 - 17)*(464\/25056)\/((-1)\/(-9))\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/2048 and -101\/54824448?\nAnswer: 219297792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -34*t**2 - 15*t**2 - 31*t**2. Let o(g) = -147*g + 376*g - 133*g - 98*g. Determine o(u(p)).\nAnswer: 160*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, b: 1, i: 1, e: 1, u: 1, j: 2}. Give prob of picking 2 j, 1 u, and 1 i.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.71 and 1841.\nAnswer: -4989.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103156234*d**2 + 2 - 2.\nAnswer: 103156234*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 20176769 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-5 - -4 - 3 - -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 9 = -d, 4*f + 0*d - 48 = 5*d - 14 - 15 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 + 3 - (-74 - -63).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -107 (base 8) to base 2.\nAnswer: -1000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) -0.5 (c) 44 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -129, -5, -4, 1, 30557 in increasing order.\nAnswer: -129, -5, -4, 1, 30557","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 13 - 77 = -5*v, -4*v + 43 = -5*i. Suppose 0 = -8*g - v + 36. Suppose 5*s - 9370 = -2*h, 7*h - g*h - 5*s - 18710 = 0. Round h to the nearest 100.\nAnswer: 4700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 r when three letters picked without replacement from jjjrr?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o - 5. Let x(u) be the third derivative of u**4\/24 - u**3\/2 - 11*u**2. Give 3*r(y) - 5*x(y).\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(104)*-2 - sqrt(104)))\/sqrt(8).\nAnswer: -18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -4 (b) 3 (c) -58 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -11*g - 267. Let j(p) = 16*p + 270. Calculate 4*j(n) + 6*y(n).\nAnswer: -2*n - 522","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*x**(4\/5)*x)**(-7)\/((((x*x\/x**(3\/4))\/x)\/x)\/(x*x**16*x)))**(-1\/35) assuming x is positive.\nAnswer: x**(157\/700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) -4 (c) -9 (d) -0.5 (e) 0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of -h**6\/120 - 7*h**5\/60 - h**4\/12 + h**3 - 1204*h**2. Give v(-7).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -4, -8, -12?\n\"Answer: -4*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -2*f**5\/11 - 1462*f**4\/11 + 22282*f**3\/11 - 72994*f**2\/11 + 85000*f\/11 - 2984 = 0?\nAnswer: -746, 1, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 6. Suppose 2*f + f + 5*g = 7, 0 = 2*g + 2. Solve -f*a = -a - 9, a = w*n - 3 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*t**3 - 7*t**3 - 30*t + 9*t**3 + 169*t.\nAnswer: 11*t**3 + 139*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3660958, 3660957, 3660956, 3660955?\n\"Answer: -o + 3660959","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 6*u - 88. Let f = 62 - u. Let y = -19 + f. Which is greater: -3\/13 or y?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 - 40 = -4*l + x, 0 = -4*l + 4*x + 68. Let i = 3 + l. What is the remainder when 102 is divided by i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1383 + 6041. What is the thousands digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 230*i - 1230 = -16*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 2*m + 3, -2 = 4*g + m + m. Let l = -8.8 - -10. Let z = -1 + l. Which is the closest to g? (a) 1 (b) 2\/3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 3*z + 8. Let y be h(-2). Suppose 5 + 10 = -5*b, y = f + 4*b. Let r be (-4)\/f + 10975986\/(-49). What is r rounded to the nearest ten thousand?\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 3:07 AM?\nAnswer: 9:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q**5\/5 + 2*q**4\/5 + 3*q**3 + 4*q**2\/5 - 4*q = 0. Calculate q.\nAnswer: -2, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14387 is divided by 433?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 394 is divided by 53.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 2*q - c = -22, 3*c + 4 = q. Suppose -2*p + 22 = 2. Do q and p have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2044203 (base 7) to base 15.\nAnswer: -4d000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to -2\/589644771?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 14 = -40. What is the remainder when (-109)\/(-2)*2 + -1 + -3 is divided by f?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*s**3 - 2 + 2 - 28*s**3.\nAnswer: -15*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7609633\/420 - -90582\/5. Find the common denominator of v and 273\/(-78) + (-351)\/(-180).\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*p - 1101 - 849 = 0. Let x = p - 153. Sort x, -5, -11, -6 in ascending order.\nAnswer: -11, -6, -5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -2*m**2. Let j(o) be the first derivative of -o**4\/24 - 2*o**2 - 9. Let l(x) be the second derivative of j(x). Calculate l(c(u)).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3130030 (base 5) to base 11.\nAnswer: 35a93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from efffvvvsfvffvfwfvfff. What is prob of sequence vwf?\nAnswer: 11\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the second derivative of -7*t**5\/30 - 99*t**2\/2 + 109*t. Let d(a) be the first derivative of v(a). Let q(o) = -2 - o + 0 + 2. Determine d(q(r)).\nAnswer: -14*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrrrrarorreaarrxrrr. Give prob of picking 3 r.\nAnswer: 91\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 21\/84 + (-5)\/4. Let i(u) = 281*u**2 + 13*u. Let k(p) = -141*p**2 - 7*p. Let j(n) = 6*i(n) + 11*k(n). Is j(t) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 1435562?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sls when three letters picked without replacement from elsskkkkksssssks.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 5*k + 600, k - 450 = -3*d - k. Suppose 7*s = 2*s + d. What is the highest common factor of 12 and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 2*s**2. Let o(f) be the third derivative of f**4\/24 - 101*f**3 - 1946*f**2. Determine o(w(g)).\nAnswer: 2*g**2 - 606","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -1818?\nAnswer: 5\/1818","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/16397 != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 238267?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8)\/3*(-105)\/14. Let s = 7 + p. Let w = -15 + s. What is the lowest common multiple of w and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -176.756350515 - 0.\nAnswer: -176.756350515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 776084 divided by 452?\nAnswer: 1717","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24.1 - 23.8. Let k = -9 + 14. Suppose 3*s = 4*z - 18, -19 = -k*z + 4*s + 4. Which is the biggest value? (a) 1\/9 (b) y (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 - 10*j**2 - 30*j - 20. Let c be v(-6). What is the greatest common divisor of c and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000538876 to six decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 362 divide 447622050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.08 + 0.58. Let c = -0.1 - 0.2. Sort 1\/7, c, y in descending order.\nAnswer: 1\/7, c, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + -5 - (-4 + -6)) + -3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2766630327 to the power of 1\/3, to the nearest integer?\nAnswer: 1404","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112683 is divided by 2504.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 9 = 4*u, 1303*y = 1302*y - 5*u + 27 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 833*y**2 - 399*y**2 + y**3 - 36*y**2 - 398*y**2.\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 11:11 PM?\nAnswer: 12:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 405861720?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 138631.\nAnswer: 157, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 16765063 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 4 (b) -138.9 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -14.4 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4*(1\/(-4))\/((-4)\/(-12)). Suppose 5*s = -2*u - u + 32, 53 = 2*u - v*s. What is the remainder when 75 is divided by u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*k**4 + 147*k**2 + k + 129.\nAnswer: 24*k**2 + 294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - 2*s. Suppose -8*q + 12*q - 20 = s. Let h be (1 - -1)\/2 - -5. Solve -q*w = -4*p + h, -2*p - w - 2 = 2 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*v**2 + v**2 - 20*v**2)*(-109 + 21 - 12) to the form m + i*v + f*v**2 and give f.\nAnswer: 2400","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-15)\/(-2)*300\/45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.729 + 3.729. Which is the third biggest value? (a) 0.05 (b) i (c) 0.036 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 6050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 564538?\nAnswer: 2, 13, 21713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 246 - 152. Suppose 18 = -m*s + 96*s. Calculate the smallest common multiple of (2 - -1)\/(2\/4) and s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of 5*v**3\/3 - 3*v**2\/2 + 3*v. Is p(6) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -2*t. Let o(l) = 20790*l**2. Calculate i(o(v)).\nAnswer: -41580*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/(-1)*10\/20)\/(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 35861599?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23432 - 16554. List the prime factors of l.\nAnswer: 2, 19, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 AM and 9:42 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*j - 3*j + 51. Let l be 0 + 2 + 0 + 3. Solve j - l = -3*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2338, -3524, -3560, -2446, -182, 3232, 7796?\nAnswer: 13510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*p**2 - 345*p - 18*p**2 + 345*p.\nAnswer: -62*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(((-306)\/450)\/(-17)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1782 + 16036\/9. Put n, -13.89, 2 in decreasing order.\nAnswer: 2, n, -13.89","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*(-12)\/(-54)*15\/(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.59 and -244520.\nAnswer: -144266.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 96*b - 261. Let j be q(26). Suppose 67445 = 10*m + j. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19934, -19942, -19954, -19970?\nAnswer: -19990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**2 - 3*r - 1. Let t be f(-2). Suppose 3*b = 2*v + 1 + t, 3*v - 3 = 3*b. Solve -5*w + 4*w = v for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 404 a factor of 2091119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of 7\/2*g**3 + 1\/2*g**4 - 8*g + 9\/2*g**2 - 1\/2*g**6 - 1\/14*g**7 + 0 - 9\/10*g**5. Factor y(o).\nAnswer: -3*(o - 1)*(o + 1)**3*(o + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 2284658*p**2. Let n(z) = -4*z**2. Calculate n(s(f)).\nAnswer: -20878648707856*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -57*3\/(36\/(-28)). Is 134 less than or equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 149 - 176 = -3*o for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 PM and 2:29 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*u**2 - 522*u - 2 + 2 + 521*u.\nAnswer: -8*u**2 - u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 371\/344, -1, -1\/3, -2\/15, -5, -2\/5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 875*p**3*r**3*x - p**3*r**2 + 3*p**3 + r**3*x - 2*r**2*x + 96*r**2 wrt r.\nAnswer: 5250*p**3*x + 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 726 - 138 = 0. Suppose -3*o + x = o. Suppose 33 = 4*w - 71. What is the remainder when o is divided by w?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4748*l**3 + 4*l**2 - 11 + 4745*l**3 + l - l**2 to q*l + p + a*l**3 + k*l**2 and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.03 or -1.42?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g and 1 a when four letters picked without replacement from {a: 17, g: 3}.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of -5*n**4\/24 - n**3\/3 - 935*n**2. Let v(z) be the second derivative of 13*z**3\/3 + 5*z**2 + z. What is 11*j(x) + 2*v(x)?\nAnswer: -3*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 3*p - 1. Let h(d) = -d - 1. Let q(y) = 3*b(y) + 6*h(y). Let v be q(4). Suppose 0 = -v*a - a. Solve a*k + l + 11 = -5*k, -l = 3*k + 7 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -696*f + 2685 - 869 + 1261 = -2491 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 51.8878 days?\nAnswer: 4483105.92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (4 - -3 - (-42 + 61)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 5*p**3 + 5*p**2 - 8*p + 2. Let s(u) be the third derivative of u**6\/60 + u**5\/30 - u**4\/8 + u**3\/6 + 7*u**2. Let z = 8 - 16. Give z*s(g) + 3*m(g).\nAnswer: -g**3 - g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17 - 8. Let q = -5 + w. Solve h = -q*h - 15 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 46*i**3 + 3*i**2 - 4*i + 1. Let s be 0 + -2 + 4 - (-1 + 0). Suppose x + 10 = -x, s*d = -5*x - 22. What is the tens digit of z(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*y + 0)*(-y**2 + 5*y**2 - 3*y**2) + (-5 + 1 + 2)*(3*y**3 - 2*y**3 + y**3) + (-2*y - 3*y + 2*y)*(y**2 + y**2 - 3*y**2).\nAnswer: -3*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s - b = 11*s - 17, 2*s - 7 = -b. Solve -u - 2 = 0, -s*m + 17*u - 16*u + 27 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyqlllqqyulqqylylqy. What is prob of sequence yu?\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 188353632 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 17602681 to the power of 1\/2, to the nearest integer?\nAnswer: 4196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*1*sqrt(63).\nAnswer: 18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 - 3*a**2 + 19. What is the hundreds digit of n(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 192520 rounded to the nearest 1000?\nAnswer: 193000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence epp when three letters picked without replacement from {e: 1, p: 11}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1597968 and 240.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(((sqrt(76) + sqrt(76)*-1)*-4 + (3*-2*sqrt(76) - sqrt(76)))*3 + 1)**2.\nAnswer: -134068 + 336*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 268, 331, 394, 457, 520, 583?\nAnswer: 646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -13*f - 4. Let x be u(-7). Suppose 3*z + 0*z - x = 0. Suppose z = 4*y - 7. Is 9 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*10.2713\nAnswer: -3.08139","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -5*n**2 + 18215*n - 9455160 = 0.\nAnswer: 627, 3016","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16994700 and 1100961?\nAnswer: 7389","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f - 2. Let u be h(3). Let k = 105 - 12. Let d = k + -88. Which is the closest to -1? (a) -1 (b) u (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 198.35+-41003369\nAnswer: -41003170.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -390, -257, -14, 32 in increasing order.\nAnswer: -390, -257, -14, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 177488374?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of j + 1 + 1\/2*j**2. Let t(a) = -a**3 + 9*a**2 - 8*a - 4. Let c be t(8). Calculate s(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 - 4*x - 7. What is r(7)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10626211 (base 7) in base 11?\nAnswer: 586813","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 11:38 PM?\nAnswer: 4:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -6 - 4*d - 513*d**3 + 498*d**3 - 1 - 3*d. Calculate the remainder when q(-2) is divided by 32.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2 - 32*r + 232. Calculate b(-38).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.02 - -0.28. Let u = -188 - -121. Let i = u - -67.1. What is the biggest value in -0.3, -3, w, i?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - 11. Let w = i + 3.6. Suppose -4*p - 36 = 4*v, -4*p = -4*v - 7*p - 32. Which is the biggest value? (a) 2\/21 (b) w (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (12\/18)\/(-2 + (-3435)\/(-1719)). Which is smaller: -381 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2\/3 + 7340*c\/3 - 103974.\nAnswer: -2*(c - 3627)*(c - 43)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*h**4 - 787*h**2 + 2*h + 57?\nAnswer: 36*h**2 - 1574","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7.9 in 3\/53, 55, 0?\nAnswer: 3\/53","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-342)*-6)\/((-8)\/(-6))?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 4*w = 1302, w + 12 = -3*w. Let z = r - 69. Does 9 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*c**3 + 25*c - 25*c + (0 + 0 + 2*c**2)*(c + 0 + 0).\nAnswer: -8*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 - 12*j**2 + 15. List the prime factors of c(12).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 864492.8 kilograms to grams.\nAnswer: 864492800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 4 = 7*d. Let o(l) = 6*l + 1. Let b(x) = -x. Let v(t) = 6*t. Let h(z) = -11*b(z) - 2*v(z). Let m(q) = d*o(q) - 5*h(q). Give m(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven eighths of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-24)\/(-20))\/((-6)\/(-15)). Let w = y + -1. Suppose -2*o - w*o = 4*x - 40, 2*x - 20 = 4*o. What is the highest common factor of 2 and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3676 = -8*i + 3684 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -5853035 at most as big as -5853035?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(-9) + 85\/51. Is -4 >= z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -276 - -1101\/4. What is the second biggest value in 68, o, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 99\/1000 and 11\/72175?\nAnswer: 2887000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 2*z**2 - 5*z + 2. Let c be t(4). Suppose b - c = -b. What are the prime factors of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -35640000 to the nearest one million.\nAnswer: -36000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8521, -1757, -12035, -22313, -32591, -42869?\nAnswer: -53147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24 - 25. Find the common denominator of 37\/27 and ((-6)\/99)\/(x\/37).\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -535336 (base 7) to base 13.\nAnswer: -33508","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -45 + 81. Let a be (-1)\/4 - 15\/y. What is the third biggest value in 3, 5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 540 and 150659772?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10070126?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - i + 33 = -4*d, 10 = -5*d - 5*i. Let l(q) = -3*q - 9 - q + 2*q. Determine l(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8*-732\nAnswer: -5856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are 343768 and 343200 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 12 + 22. Suppose 0 = 4*u - o - 45, -o + 0 - c = -3*u. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 28.849011 months?\nAnswer: 2.40408425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**2\/2 + 393*h + 35055\/2.\nAnswer: 3*(h + 57)*(h + 205)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 29 and ((-6)\/(-4))\/((-4)\/(-24))?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2013046 (base 7) in base 4?\nAnswer: 322102222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 193.667 to the nearest integer.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1348258?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 - (((-153)\/(-34))\/(9\/(-12)) - -4).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 <= -27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2*2 - 0\/(-10). Let w(s) be the first derivative of 2*s**3 - o + s - s - s**6 - 5. What is the third derivative of w(t) wrt t?\nAnswer: -360*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-10)\/2 - (9 - (-6 + 17)). Sort -2, r, 7 in decreasing order.\nAnswer: 7, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in -1\/7, 1, -0.07, -0.2, -9601, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13203302321 - 11?\nAnswer: 13203302310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the third derivative of 1\/6*x**3 - 1\/10*x**5 + x**2 + 0*x - 1\/120*x**6 + 0 - 1\/6*x**4. Suppose -3*b + 2*h = 21, -25 = 2*b + h - 6*h. What is f(b)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 5 = -15, -5*k - 25 = -5*j. Let i(g) = -j*g - g + g + g - 3. Let y(z) = 2*z + 4. What is -3*i(a) - 2*y(a)?\nAnswer: 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 40\/3 + (-2)\/(-3). Let g be -1 + 4 - (-6)\/(-3). Let p be 1 - -21 - 1\/g. What is the highest common factor of p and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22 - 16. Let o(m) = -8*m + v*m + m. Determine o(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 176, -10, -5, 10 in descending order.\nAnswer: 176, 10, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Product of -6071.89 and 0.07.\nAnswer: -425.0323","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -263 + 215*c**2 + 98*c**2 + 5*c + 272. List the prime factors of m(-2).\nAnswer: 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 3*i + 1 = -s, 0 = 3*i - 3. Let f be ((-9)\/(-78))\/((225\/12)\/25). Let c = -1.93 - 0.07. What is the nearest to c in s, 1, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.094731 to 2 dps.\nAnswer: -4.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 340 is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23*c + 50*c - 25*c + c**3 - c**4 + 2 to the form k*c + j*c**3 + d + o*c**4 + p*c**2 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 12:45 PM?\nAnswer: 1:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.5 (b) 0.2 (c) 3.7 (d) -5 (e) 0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1957 - -9842\/5. Calculate the common denominator of a and 4 - (-3653)\/(-546) - (-1)\/(-6).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 + 4*z. Let q(f) = 48*f - 32*f - 2*f - 13*f. Calculate -2*k(s) + 9*q(s).\nAnswer: -2*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*q - 21*q + 30285 = 0. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9519 is divided by 138?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 634990 and 13334790.\nAnswer: 13334790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/1620*-30)\/(3*(-3)\/54)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 - 18*b + 10. Let j be y(18). Let z = j - -7. Does 17 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 561*l**5 + 7*l**3 + 3*l**2 + 39116*l?\nAnswer: 11220*l**3 + 42*l + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 40 and 160.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 388212?\nAnswer: 2, 3, 11, 17, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -56*r + 54*r - 4*n, -2*n = -2*r + 6 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 150 = 5*c, 5*d - 2*c = -5*c - 144. Let s = d + 31. What is the common denominator of -23\/3 and -4 + s + 0 + 532\/120?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.385254 centuries?\nAnswer: 38.5254","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 6077 = 4*p, 0 = -9*j + 7*j - 3*p + 2440. Is j a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 4 = 0, 3*o = 2*l - 3*l + 7 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24 and 1239?\nAnswer: 9912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 PM and 10:36 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 - 4*q**2 + 3*q + 3. Suppose 4*v = -0 + 12. Let n be 2 + v*3\/9. Let z be s(n). Solve l + z*l = -16 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40 is divided by 19.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1306 - 2344. Let k = w + 1038.04722. Let f = k + -0.046. Round f to three dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 760 and 52.\nAnswer: 9880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 272964 and 172.\nAnswer: 272964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2599238?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + -2.9. Let q = 1.4 + k. Which is the closest to q? (a) -0.1 (b) 3 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -4*x**3 + 1264*x**2 + 10628*x - 84240 = 0.\nAnswer: -13, 5, 324","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.87 (b) 3\/2 (c) 0.2 (d) -1\/3 (e) 0.4 (f) 0.323 (g) -1.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = i + 3*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 23, 24, 25, 26, 27?\n\"Answer: i + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 88 and 1992.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmymbmmmmbmmym. What is prob of picking 1 b, 2 m, and 1 y?\nAnswer: 44\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 234035 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 + 39*p**2 - 35*p - 46. Is j(37) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -30887.000234817 + 30887. What is v rounded to six decimal places?\nAnswer: -0.000235","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) + sqrt(343)*-2 - (1 + sqrt(252)).\nAnswer: -19*sqrt(7) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 4 + 0)*(-9*s - 3*s + 3*s)*(2*s - 4*s + s - 2*s + s - 2*s + (s - 6*s + 3*s)*(-1 - 13 - 6)) to the form c + b*s**2 + t*s and give b.\nAnswer: -324","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 413*f**2 - 10*f - 10. Suppose 20 = -4*o + 4*t, -4*t = 6*o - o - 11. Does 29 divide s(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13 and 4043.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 42961700 to the nearest integer?\nAnswer: 6555","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n. Let x = -13 + 15. Let k(h) = 4 - 3 + x*h - 1. Determine k(a(j)).\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-23))**(-6)\/(h\/(h**(2\/71)\/h)*h**(2\/13)))**(-1\/51) assuming h is positive.\nAnswer: h**(-41804\/15691)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7996406 kilograms to milligrams.\nAnswer: 799640.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 732 and 1952.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -286*h**3 + 4*h**2 - 14*h - 1. Let z(k) = -573*k**3 + 7*k**2 - 30*k - 1. Let x(b) = 7*j(b) - 4*z(b). Find the second derivative of x(c) wrt c.\nAnswer: 1740*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 957 and 1551.\nAnswer: 44979","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*q - 3*q - 4*q)*(2*q - 2*q + q) - 2*q**2 - q**2 + 2*q**2 + (-4 + 43 - 3)*(3*q**2 - 3*q**2 + q**2).\nAnswer: 34*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14*16\/(-320)*-10*-1?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4474*f + 25099 + 8175 - 6430 = 0 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 451*c - 353. Let l be z(15). Let v = l + -2421. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 2, 3, -2 in descending order.\nAnswer: 3, 2, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -6*h + 60. Let w be m(9). Solve -w = -44*j + 47*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -273*c - 1948. What is i(-7)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 6*f + 5*k, 0 = -4*f + 4*k - 32. Let c = -100064\/27 - -3706. Sort f, c, -2\/5, 0.5.\nAnswer: f, -2\/5, c, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 153213979.\nAnswer: 17, 9012587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (170\/357)\/10 + (-4)\/(-14).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3273556 to the power of 1\/4, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -33*f**2 + 102*f - 210*f - f**3 + 128*f - 20. What is the hundreds digit of g(-34)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.50008079 to 3 dps.\nAnswer: 2.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 5*s + 147, 588 = -0*b + 4*b + 3*s. What is the greatest common factor of b and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 8*s + 5. Let c(y) = -9*y - 6. Let x(p) = -5*c(p) - 6*z(p). Let w(j) = -5*j**2. Give w(x(r)).\nAnswer: -45*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 23*a + 1177. Let i be t(-51). Suppose -3*z = 2*z - 10. Let d = z - 2. Solve 9 = 3*q, d = 5*n - 4*n - i*q + 8 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 62\/66457041 and -49\/58672.\nAnswer: 1063312656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + 1120100211?\nAnswer: 1120100220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4 - -289 - (0 - 0). Suppose -4*t + 7*t = d. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/2*12\/40*60\/(-45)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 4 - ((5 - -12) + -18)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o**2 + 409240402*o + 41869426657280401 = 0. What is o?\nAnswer: -204620201","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -100*j - 804. What is the remainder when d(-9) is divided by 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33674533 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8.8 - -77.8. Let g = d + -68.4. Sort -2, -0.1, g in decreasing order.\nAnswer: g, -0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h**2\/5 - 2160873*h\/5 + 864350 = 0.\nAnswer: -2160875, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 81.\nAnswer: 1\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 253871071?\nAnswer: 5309, 47819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (22\/3)\/(7\/21). Let g = 47 - p. What is the smallest common multiple of 85 and g?\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times 1517579?\nAnswer: -758789.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 74621 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -17*s**2 + 45*s - 46. Let l(d) = -5*d**2 + 15*d - 16. Let f(i) = -7*l(i) + 2*n(i). Determine f(14).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -6 (b) 9\/17926 (c) -1\/2 (d) -4 (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + (1 + sqrt(12))**2)*2.\nAnswer: 10*sqrt(3) + 26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-11)\/(715\/8310) - 14\/91. Which is smaller: -126 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23\/217 - -32471\/1302. What is the common denominator of 37\/88 and c?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 19*f**3 - 2 + 17*f**3 - 3*f**2.\nAnswer: -2*f**3 - 3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 154, -2\/15, 2\/19, -4, -0.3?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 24\/499 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 1:14 PM?\nAnswer: 3:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -30 in -2\/7, 0, -5\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 - 4. Suppose 2*t = -0*t - 6. Let r be u(t). Let d be (-3 - 0)\/(4\/(-16)). Solve -m = -2*x + m, d = -r*x + m for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -95 + 93. Let f be -2 - r - (7 + -3 - 3). Let k(p) = p**3 - p + 1. Let b(x) = -4*x**3 + 5*x - 5. Calculate f*b(d) - 5*k(d).\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 - 11*l**2 - 17800*l - 160038. What is s(-9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i + 2*i = 40. Which is the smallest value? (a) -1\/2 (b) i (c) 3\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 2 = -0*q. Let t be -3 - q\/(3\/33). Let z(c) = -4*c**2 + c + 2. Let r(w) = 11*w**2 - 3*w - 5. Determine t*z(k) + 3*r(k).\nAnswer: k**2 - k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -q + 8. Let p be q*4\/(-6)*-90. Round p to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 56 = 3*n - 6, -2*p + 3*n = -29. Put p, 6, 0 in decreasing order.\nAnswer: p, 6, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 64253112 or 64253110?\nAnswer: 64253110","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (3\/30)\/(1\/4)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 - 5*n**2 + 39*n + 132. Calculate the remainder when 2875 is divided by i(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + 15\/(-5) + 5. Let p be (-52)\/(-6)*15\/40. Do p and h have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (780\/(-94185))\/((-8)\/12)?\nAnswer: 2\/161","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -1143 - q - 3*q + 1143. Let t(f) = f - 1. What is s(m) + 2*t(m)?\nAnswer: -2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11373539 and 2249.\nAnswer: 147856007","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1121 (base 7) to base 3.\nAnswer: 120002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36 and 252.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 + 84*i + 33. What is f(0)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u - 126 = -12*u. Let j = 0 - -3. Suppose -2*x = 5*d + 2, 3*x = -2*d + j + 5. Solve k + u = x for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 AM and 11:52 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5\/(-15) - 714\/(-9) is divided by 40.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -17\/661 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -3*v + 5. Suppose 8 = 2*k + 4*y, y + 28 = 4*k + 3*y. Suppose -g = 4*b + 12, 3*b = -4*g - g + k. Calculate j(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -542 = -27*a - 29. Suppose 2*l - 2*c - 162 = 0, -c - 25 = 4*c. What is the highest common divisor of a and l?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(176) + sqrt(11) - sqrt(11)) + 2*(sqrt(11) + sqrt(11) + 1) + -3 - 5*(2*sqrt(1100)*-2)**2.\nAnswer: -88001 + 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30928, -3, -1, -27 in increasing order.\nAnswer: -27, -3, -1, 30928","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51434100 (base 6) to base 3.\nAnswer: 2210022020100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 - -10. Differentiate -4 + 0 + 0 + g**b with respect to g.\nAnswer: 4*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eeep when four letters picked without replacement from {f: 1, e: 10, p: 3, j: 1}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/24*(-55)\/(1100\/(-56))\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -4*y + 79. Let s be a(18). Suppose s*r - 15 = -1. Solve m - 13 = -r*l, -l = 2*m - 1 - 13 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 7*c**3 + 3*c + 6. Let l(s) = -7*s**3 - 3*s - 5. Calculate 6*l(g) + 5*x(g).\nAnswer: -7*g**3 - 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 + (3 + 40\/(-12))*-3. What is the tens digit of (-462)\/12*c + -1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 29 - 88. Put r, 2, 1 in descending order.\nAnswer: 2, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -4*u - 45. Let h = -35951 + 35938. Determine v(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + -31. Let r = -16 - f. Does 4 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/8 and -41\/34712.\nAnswer: 34712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1028 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 25\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 17*a - 178. Let n be u(11). Suppose 14*m + 12*m = n*m. Do m and 8\/7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 46 + (-25 - -5) + (-15 - 4).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.0682 * -0.052\nAnswer: 0.0035464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 4*a + 17 = 0, 3*g - 1 - 8 = -2*a. Suppose -5*k - 2*j + 14 = -0*j, g*k - 5*j = 0. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1207 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -3*p**2 + 4. Let h(c) = c**2 - 1. Suppose 1 - 5 = -s, -2*s + 8 = -3*a. Suppose u + 2 - 10 = a. Suppose 0 = -2*d - u. What is d*h(i) - l(i)?\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 158, 64, -100, -340, -662, -1072, -1576?\n\"Answer: -m**3 - 29*m**2 + 188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 197495?\nAnswer: 5, 39499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + 5. Let k be (-46)\/(-8) - (-2)\/c. Solve 5*r = -4*s + k, 4*s - 1 = -r - 3 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 1055?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-2 + 1) - (8 + (-16 - -6))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5)\/(-1) - -6*3\/(-18). Factor -2\/3*h**u + 0 + 0*h - 4\/3*h**3 - 2\/3*h**2.\nAnswer: -2*h**2*(h + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 2 - 8 + 17*a**3 in the form p*a**3 + r*a**2 + d*a + t and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.3907 + -0.0093. Let c = 0.67 - 0.17. What is the fourth biggest value in c, 4, a, 1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 5*g = -10. Let p be 12\/(-9)*(-3)\/2. Find the third derivative of -u**3 + u**3 - 4*u**2 + u**5 + p*u**g wrt u.\nAnswer: 60*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 PM and 3:23 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -40 + 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 1 = 2*j, k + k = -2*j + 20. Suppose 0 = j*r - 3*r - 12. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of -4*t**2 + 0 + 0*t + 0*t**3 - 1\/24*t**4. Let w(d) = d - 1. Let k(b) = -b**2 + b - 1. Let z(i) = k(i) - w(i). What is s(z(u))?\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add -216 and -415.1.\nAnswer: -631.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 755778720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of -7*q**4\/4 - 5*q**3\/6 - 28*q**2 + 9*q. Let v(s) = -s. What is v(h(p))?\nAnswer: 42*p + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-59 - -292 - 170) + 0 + -11\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 240.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7075750, -7075728, -7075670, -7075558, -7075374, -7075100, -7074718?\nAnswer: -7074210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 963 - 1821. Let m be (-13298)\/h + (-2)\/4. Let j = -764\/39 + m. Calculate the common denominator of j and 67\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4814149?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -39.47074661 rounded to zero dps?\nAnswer: -39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4631905 is divided by 330831?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2102145961*p**2 - 4*p - 2102145970*p**2 + 4*p.\nAnswer: -9*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*m**3 + 232*m**2 - 1302*m + 1080.\nAnswer: -2*(m - 15)*(m - 1)*(5*m - 36)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 967 and -966.\nAnswer: -934122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 - 37*w**2 + 1173*w - 40933. What is i(36)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-2*(-1 + sqrt(5) + 2)*2 + -3)**2.\nAnswer: 224*sqrt(5) + 516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 227 is divided by 138.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(55)\/(sqrt(15)\/sqrt(3)))**2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 80720119 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes before 2:02 PM?\nAnswer: 3:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, f: 1}. What is prob of picking 1 f and 1 h?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4689*c + 288 = 4671*c for c.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -72 (b) -5 (c) 7 (d) 24\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 49583251 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6406012 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: Convert 143554.35 months to decades.\nAnswer: 1196.28625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-6*(-2*sqrt(1225) - sqrt(1225)))\/(6*1*sqrt(245) - ((sqrt(245) - sqrt(245)*1)*-4 + sqrt(245))).\nAnswer: -18*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w**(-3)\/w)*w*w)**(-4)\/(w**(-2\/3))**(2\/11) assuming w is positive.\nAnswer: w**(-920\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-16) + 26\/8. Suppose b*l - 5*w + 1 = -16, 3 = -5*l + 2*w. Suppose l - 4 = 3*m. Is 1\/6 at most m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 45340.28l?\nAnswer: 45340280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve m**3\/4 + 149*m**2\/2 - 5607*m\/4 + 6399 = 0 for m.\nAnswer: -316, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a + 4*a - 15*a**2)*(0*a**2 - a**2 - a**2)*(-2*a + 3*a + a).\nAnswer: 60*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1861860 to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((-4*(sqrt(1088) + 3*sqrt(1088)) - (0 + sqrt(2448) + sqrt(2448)*4 + sqrt(17))) + -2)**2.\nAnswer: -607261 - 756*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-28*(-28)\/294)\/2)\/(420\/6)?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 81\/(-315) + -1 + 7\/5.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 7, t: 9}. Give prob of sequence ppt.\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = v - 27. Suppose v = -x + 27. What is the remainder when x is divided by 2\/6 - (-58)\/6?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*a - 4*a + 5*a - 2)*(3716 + 3557 - 6928) in the form f*a + n and give n.\nAnswer: -690","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccpcccccpcpccccc. What is prob of sequence cc?\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 60 - 53. Calculate the remainder when 19 is divided by a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of -q**6\/360 + q**4\/8 + 2*q**3\/3 - 2*q**2. Let h(d) be the first derivative of p(d). What is the units digit of h(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(105\/28))\/(4\/10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2\/2 + 23*t\/2 - 12.\nAnswer: (t - 1)*(t + 24)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 6:35 AM?\nAnswer: 3:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 143 a factor of 196339?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 2:38 PM?\nAnswer: 2:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 6)*(1 + 6 + 13)*(3 - 4 + 0)*(-2*k**5 + 0*k**5 + 0*k**5).\nAnswer: 160*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the second derivative of 2*n**3 + 54*n. Let y(w) be the third derivative of -4*w**2 + 0*w + 0 + 0*w**3 + 1\/8*w**4. Give y(a(o)).\nAnswer: 36*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + -1. Suppose -5*g = 3*x - 14, -g + 6*x = x + 14. Let k be -1 + 2 - (-2 + g + 0). Solve s = k*i - 0*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-8 - 0) - (-12 + -15 + 10)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 4, 10, 22, 40?\n\"Answer: 3*p**2 - 3*p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.5 + -1. Let y = -2.72 - -2.72. Let i = 60 + -59.92. Put q, i, y in decreasing order.\nAnswer: q, i, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 15.2, -1\/7, -1, -15, -1\/2?\nAnswer: 15.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 760200 (base 8) in base 3?\nAnswer: 110220112101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.022743846 to four decimal places.\nAnswer: 0.0227","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(-2) - (-4 + 54\/12). Solve c*g = g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11002001022211 (base 3) to base 9.\nAnswer: -4061284","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -150, -295, -440, -585?\nAnswer: -730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*l**2*w**3 + 62*l**2*w + l*w + 5*l + 12724*w**3 wrt l?\nAnswer: -6*l*w**3 + 124*l*w + w + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 z when three letters picked without replacement from zrzzzzrdrzzrrzzrrzr?\nAnswer: 280\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -432 + d**5 + 40*d**2 + 856 - 426 - 2*d + (3 + d**2 - 3)*(4*d**3 + 6*d**2 - 6*d**2).\nAnswer: 5*d**5 + 40*d**2 - 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.10181408584 from -223.\nAnswer: -223.10181408584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, 15 in ascending order.\nAnswer: -3, 5, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-988*z**2 - 975*z**2 - 29 + 1962*z**2 - z**3)*(-12 + z + 12) as t*z**2 + w*z + k*z**3 + n*z**4 + h and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q + 10*q + 9746 = 5*s, 0 = -s - 5*q + 1966. Does 33 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -5*y**2 - 9*y + 564. Let x be u(27). Is -3323 smaller than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 110 and 330110?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - -3. Let d = -5253 + 2549. Let l be (n - -3 - -2) + d. Round l to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -45 + b188e?\nAnswer: b1849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 97 + -77. Let x be ((-40)\/700)\/(2\/f). What is the fourth smallest value in -1\/5, 4, -4, x?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 600 is divided by 579?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119 + 8 = -37*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 755 + 0 + (1 - (-12)\/(-4)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 - -1 - ((-225)\/375 + (-36)\/(-10))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 198, 738, 1644, 2916, 4554, 6558, 8928?\n\"Answer: 183*h**2 - 9*h + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2737400969 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -7*k + 30. Suppose 0 = k*x - 6204617 - 2790661. Suppose 7599213 - x = u. What is u rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -4, 3 in decreasing order.\nAnswer: 7, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 2 + -3 + 2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32948411141 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 791937147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7a108c (base 15) to base 16.\nAnswer: -58e366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -74240 rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mkkwkwmww. Give prob of sequence kw.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 2, 85, -1\/19?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-0.117.\nAnswer: 0.0117","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 28180 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 58633865.000019 + -58633817. Let f = 0.73 + 47.27. Let l = j - f. Round l to five dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 51? (a) 66 (b) -0.4 (c) 1\/3 (d) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o = -206 + 178. Which is the second biggest value? (a) 3\/2 (b) -1\/2 (c) o (d) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + j + 0*j = 56, -3*j - 66 = -4*r. Suppose -2*b + a + r - 1 = 0, 6 = b + 2*a. Suppose b*s - 10*s = 14. Let k(x) = x**3 + 7*x**2 - x - 4. Give k(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1276 - -2254. Let i(g) = g + x - 3530. Let m(t) = t. Calculate i(m(s)).\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/769? (a) 0.1 (b) 1\/7714 (c) 1 (d) -0.1 (e) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 3*h**2 - 6*h + 1. Suppose y + 3*d + 7 = -2, -4*y = 5*d + 8. Let s be n(y). Let z(g) = 3*g - 24. What is the remainder when 19 is divided by z(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 24 = -9*h. Suppose h - 2 = w. Is 78\/4 - 2\/w a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3018245?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 268*l**2. Let u(o) be the second derivative of o**4\/6 + 192*o + 2. Calculate n(u(x)).\nAnswer: 1072*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003036104078 rounded to 6 decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.54 (b) -0.034 (c) -1 (d) 30373\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2980 - 1807 = 188*p + 4959 + 4542 for p.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*s**3*v**3 - 47*s**3 - 292*s**2*v**4 + 14*v**2 wrt v.\nAnswer: -18*s**3 - 7008*s**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -583\/12 - -209\/4. Determine b so that -1\/3 - 11\/6*b**5 - 10\/3*b**4 + k*b**2 + 2\/3*b**3 + 7\/6*b = 0.\nAnswer: -1, 2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11644 + -10081. What is the remainder when i is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1767822 + -5?\nAnswer: 1767817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (966\/1656)\/((-2)\/(-8))*-3.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 109, 395, 863, 1507, 2321, 3299, 4435, 5723?\n\"Answer: -y**3 + 97*y**2 + 2*y + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -10052 (base 10) in base 3?\nAnswer: -111210022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 988 + -658. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 163.94 - 164. Let d be 24 + (-4 - (-4 - -3)). Suppose -j - 15 = -5*m, -2*j + 3*m - d = j. Which is the third biggest value? (a) -1 (b) r (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 3110 - 3115 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 416 and 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of -g**2\/2 + 11805. Let x(z) = -11006*z. What is x(q(d))?\nAnswer: 11006*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 15835 to the power of 1\/2, to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - -1. Let v be 2\/(-5) - (-3)\/15*2. What is the second biggest value in 0.1, v, m?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/10 of a kilogram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01 minus 52.41?\nAnswer: -52.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 10498707827 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*v**3 + 52*v**3 + 104*v**3.\nAnswer: 212*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.3449979 + 0.345. Round g to six decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16873 and 94?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 185550.6l?\nAnswer: 185550600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 0 + 2)*(5 - 3 + 0) + 3 + 2 + 1 - 2 + 1 + 4)*(6*n**3 + 3*n**2 + 5*n**3 - 6*n**2) - 4*n**3 + 6*n**3 - 4*n**3.\nAnswer: 141*n**3 - 39*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + -25 - -12 - -14?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l**3 - 19*l**2 - 90*l - 72 = 0. What is l?\nAnswer: -12, -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 124 - -3. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18488 - 308057811\nAnswer: -308039323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 + w - 1. Let o(f) = -f**3 - 2*f**2 + 4*f + 14. Give 2*a(u) - o(u).\nAnswer: u**3 - 2*u - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + l + 5*t - 11 = 0, 0 = l + 3*t - 15. Solve -5 + l = 2*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 + 7. Suppose p*n = 8*n. Let x = -35.4 - -35. Which is the closest to 1\/4? (a) -5 (b) n (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.624 to 1 dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1\/3))**(-3))**(31\/5)\/((h**(2\/7))**(-36)*(h**(1\/2))**(-11)) assuming h is positive.\nAnswer: h**(1539\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 53422 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*z**2 + 6235*z - 970900 = 0. Calculate z.\nAnswer: -1387, 140","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -214 + 217. Suppose 0 = -8*x + d*x + 55. Solve x*q + 5 = 6*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1865)\/(-9325))\/((3\/2)\/((-6)\/2))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 35\/75 + (-6)\/45?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 140, 135, 126, 113, 96?\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -16ad2 - dc?\nAnswer: -16bbe","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 43, 434, 1517, 3646, 7175, 12458, 19849?\n\"Answer: 59*y**3 - 8*y**2 + 2*y - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 271621 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + 10 - 15. Let y be (-3)\/j*(-20)\/4. Let q(n) = -n**2. Let g(r) = 6*r**2 - 4. Let i(o) = -g(o) - 5*q(o). Calculate i(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, h: 1, n: 3}. Give prob of sequence qnqq.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 + q + 2. Suppose -4*j - 22 = -2*j. Let l = -9 - j. Calculate n(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 4*p - 3*p. Suppose p = -7*s + 9*s. Solve 0 = -4*r + 8 - s for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 2*c - 531 = 0, 0*c - 15 = 3*c. What are the prime factors of w?\nAnswer: 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.14, 1\/3, -3645 in ascending order.\nAnswer: -3645, -2, -0.14, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 354.1147kg in nanograms?\nAnswer: 354114700000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -214.63 from 0.5.\nAnswer: 215.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -85*d. Let v be p(-1). Suppose 4*w = 3*q + 155 + 8, 0 = 2*w - 5*q - v. Suppose -w = -4*o + 2*o. Is o a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 1 - 3 + (-1 - 5 + 4)*(3 - 1 + 0) + 2 - 3 + 0 + 1 - 5 - 3)*(-21*z**2 - 12*z - 4*z + 14*z).\nAnswer: 189*z**2 + 18*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-12)\/(-16))\/(2\/8). Suppose -w*l = -0*l + 5*g - 6, -4*l = -4*g + 24. Let u = 0 - l. Solve 0 = u*y + 4*v + 6, -y - 2 + 0 = 3*v for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 396*z = 373*z + 36 + 148 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.2 - -0.6. Let r = n - 0.4. Which is the smallest value? (a) 5 (b) r (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24391422.6 rounded to the nearest 1000?\nAnswer: 24391000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 3*d + 1. Let c be u(-5). Let o be 3 + (-5)\/(10\/c). What is the common denominator of (-123)\/o*7\/(-21) and -5\/4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 + 9*t**2 + t - 4. Let u be r(9). Suppose 2*d = l + 8, -u*d + 31 = 5*l + 11. Let a = 2 + 0. Solve d = -2*o - a for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-55)\/110*1\/((-1)\/(-2))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vjd when three letters picked without replacement from {d: 2, j: 3, v: 1, p: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y**3 - 96757*y + 96757*y - 4*y**2 + 4*y**2.\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25, -31, -23, 5, 59?\nAnswer: 145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3564 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1826*z + 1864*z - 3116 = 0. Solve 112 = -z*m + 26*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/10 of a millimeter?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -2 and 54 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -72 + 144. Let v = z - 70. Which is the closest to -5? (a) -0.4 (b) v (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 (base 13) to base 10\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7868 and 868.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2814*n - 2813*n - 49 = -10*f, 3*f - 1 - 2 = n for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the third derivative of g**5\/60 - g**4\/24 - g**2. Let c(j) = -5*j**2 + 7*j - 2. Let k(t) = c(t) + 6*s(t). Let k(a) = 0. What is a?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -12) + (27 - 25) + -18.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 59b - -49?\nAnswer: 5e4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the third derivative of -x**6\/20 - 4*x**2. Suppose 9 + 3 = 4*y. Let m(l) = 3*l**3 - 3*l**3 - 5*l**y. What is 4*d(h) - 5*m(h)?\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = -6*c + 3*c - 3*x + 20, 146 = -4*c + 3*x + 150 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33726.\nAnswer: 2, 3, 7, 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 714147 + -10708108\/15. Let v = k - 273. Factor 4\/15 - v*y**2 - 2\/15*y.\nAnswer: -2*(y - 1)*(y + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -324 by 108.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = -4*r - 8, -14*x + 12*x + 17 = -5*r for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 398, 550, 702, 854, 1006, 1158?\n\"Answer: 152*b + 246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2 + 2*g + 12. Let a be ((-1)\/(12\/8))\/((-1)\/(-24)). Let s be m(a). Let r = 398 - s. Calculate the remainder when r is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 + 4*v. Let g(j) = -22*j**2 + 21*j + 6. Give 5*c(u) - g(u).\nAnswer: 17*u**2 - u - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-8\/3))**(-9\/2))**(-35) assuming o is positive.\nAnswer: o**(-420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 8:01 PM?\nAnswer: 8:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 87095 + 1857.8238?\nAnswer: 88952.8238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 2*l = 12. Solve 4*f - 4*v + l + 9 = 0, 4*v = 5*f + 16 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 346214 is divided by 173051.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 4, -0.059?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of -6709*u**5\/5 + 5997*u**2\/2 + 1241. What is the second derivative of k(m) wrt m?\nAnswer: -80508*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15296, 15295, 15294, 15293, 15292, 15291?\nAnswer: 15290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/11))**(-4\/17)\/(s**(8\/7)\/(s*s**2)) assuming s is positive.\nAnswer: s**(2403\/1309)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s + 1. Suppose u - 5 + 1 = 0, -4*i + 3*u = 16. Let g be t(i). What is the units digit of g + -2 + 11 + -1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -13*w**2 - 11. Let s(r) = 20*r. Give h(s(k)).\nAnswer: -5200*k**2 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 - (6\/(-9) + 1). Let z be (-11 + -1)*(-6)\/(-12). Let l = z - -6. Is j < l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 999 + -24?\nAnswer: 975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -2 + 4 + 0*f + f. Suppose 4*n + 2*g = -30, -n + g - 11 = -2. Determine h(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i**3 - 45003*i**2\/4 + 1856241*i\/2 + 930933\/4 = 0. Calculate i.\nAnswer: -3831, -1\/4, 81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of -169*u**7\/210 - u**5\/15 + 4009*u**4\/24 + 8*u**2 - 7. What is the second derivative of n(m) wrt m?\nAnswer: -2028*m**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/16*-2)\/(1\/(-10)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3995 + -1400. What is u rounded to the nearest 100?\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 880.71 and -1.\nAnswer: 879.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/28)\/(((-40)\/(-28))\/5). What is the fourth biggest value in -0.2, p, 1, -44?\nAnswer: -44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -92604079\/2991510 - -5\/66478. Let j = g + 162\/5. Find t, given that -2\/3*t**3 - 4\/3*t - j*t**2 - 1\/9*t**4 - 4\/9 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -44, -2, -85 in descending order.\nAnswer: 1, -2, -44, -85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.063556 - -0.07887. What is j rounded to four decimal places?\nAnswer: 0.0153","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1384 is divided by 965?\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 462692865*t**5*w + 363644720*t**2*w + 3*w wrt t?\nAnswer: 27761571900*t**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -6824412 divided by -1706103?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 6 + 15 = 0. Suppose 0 = 3*y + 5*h - 46, 25 = -n*y + 8*y - 2*h. Calculate the remainder when y is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 + 17*c**2 - 15*c + 6. Let r be g(16). Suppose 6*o + 16 = r*o. Is -55 <= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, t: 2, d: 1, x: 3, k: 1, v: 3}. What is prob of sequence kvt?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 2*d - 5 = 0, -2*x - 80 = 5*d - 25. Let r be (-1 + -1)*x\/(-10). Put -0.1, r, -7 in decreasing order.\nAnswer: -0.1, r, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 28 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2)\/w)**(-21)*(w*w*w**(-5\/7)*w*w*w)\/w**(-2\/37) assuming w is positive.\nAnswer: w**(17441\/259)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1575731044?\nAnswer: 2, 43, 2039, 4493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*g, -5*u + g - 1 = -0. Suppose 0 = 4*d - 2*m - 48, -4*d - 2*m + m + 54 = u. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 + -9 + -10 + 22 + -2?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 673ba (base 12) to base 13\nAnswer: 4a521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 650 divide 7590001?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, z: 5}. What is prob of picking 2 z and 2 p?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + -2 - ((0 - 1) + 42). Let c = t - -47. Suppose 8*u = c*u + 8. Calculate the greatest common factor of 20 and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.5 (b) 3 (c) -10 (d) 324 (e) -6\/11 (f) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, 24, 67, 138, 243, 388, 579, 822?\nAnswer: 1123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2716722316.\nAnswer: 2, 7, 11, 809, 10903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 97 - 97. Let u be (25\/(-50))\/((-1)\/4). Which is the nearest to -2? (a) u (b) y (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 478 - 473. Solve x*p - 11 = -q, q = -2*p + 3*q + 2 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 934, 3881, 8782, 15637?\nAnswer: 24446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = 2*v - 2*y, 4*y + 87 = -2*v + 111 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 0*t = 2*l + 44223, 4*t = 3*l + 58964. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97*w**2 - 6*w**3 + 120*w**2 + 8*w - 5*w - 3*w.\nAnswer: -6*w**3 + 217*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 591920 divided by 560?\nAnswer: 1057","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -4.2*5.073\nAnswer: -21.3066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 33*g - 764. What is z(23)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2051\/54 < 0.61?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 - 2*b + 16 + 3.\nAnswer: -2*b + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m + 2*k + 2*k - 4308, 4*k + 3432 = 4*m. What is the highest common divisor of 86 and m?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 430 or 424?\nAnswer: 424","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 28 - (7 - (1 + 7 + -7)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*j + 15 - 47*j - 2*j**3 + 23*j - j**3.\nAnswer: -3*j**3 + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**6*r\/r**(-4))\/(r\/(r\/r**(2\/9)))**(-2\/53) assuming r is positive.\nAnswer: r**(5251\/477)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 80032437?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 3*g = 2383, -2*r + 3*g - 1199 = -4*r. List the prime factors of r.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 - 5*t**2 + 5*t. Let h be m(-6). Let b be h\/(-6) - (9 - 0). Is -11 equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 9:48 AM?\nAnswer: 5:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -cf73 (base 16) to base 6\nAnswer: -1045511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 139*z - 206882. Let q(m) = -m. What is s(q(f))?\nAnswer: -139*f - 206882","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-65)\/26 - -3)*(39 - 1) - 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 68273\/8 - 8488. Let s = 1909\/40 - d. What is m in 1\/5*m**2 + s - 9\/5*m = 0?\nAnswer: 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*p + 4*z, -p - 9 = -2*p - 3*z. Let b(y) = -6*y**3 + y**2 + 3*y - 5. Let x(g) = 5*g**3 - 2*g + 4. Calculate p*x(o) + 2*b(o).\nAnswer: 3*o**3 + 2*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23940840 divided by 3.\nAnswer: -7980280","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 15) in base 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 + 2*x**2 - 1. Let l be h(2). Let z = l - -6. Let r = z - 17\/3. Which is the smallest value? (a) -0.05 (b) 0.2 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4400964*d**2 - 2776573*d.\nAnswer: -8801928","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/108 and 79\/324.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -2*a - 28. Let o(b) = -189*b - 1. Calculate o(x(v)).\nAnswer: 378*v + 5291","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -738*n = -5*g - 739*n + 14, 8*g - 23 = -n for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5515*x**2 - 38601*x + 28.\nAnswer: -(x + 7)*(5515*x - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 4 = -20. Let w = 6 - x. Suppose -4*t - 16 = -3*m, -2*m - 3*t = -w*t - 7. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4 - -8)*-1 + -12. Let q = u - -12. Let z be (q*5)\/(-4) + 0. Put 1, -1, z in ascending order.\nAnswer: -1, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/g**(-4\/3))\/(g**(-14)*g*g)*g**(-2\/7)\/(g\/((g*g*(g*g*g**21*g)\/g)\/g)*g))**(-1\/14) assuming g is positive.\nAnswer: g**(-389\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 102610009 and 1627.\nAnswer: 1627","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 3*m - 39749 = 0, -127*l = -126*l + m - 7953. What are the prime factors of l?\nAnswer: 7951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 804443 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 678, -42, 2, -14.\nAnswer: -42, -14, -4, 2, 678","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as 0.104155814?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -304057 take away -1.9?\nAnswer: -304055.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 10909 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 23136, 46067, 68998, 91929, 114860?\n\"Answer: 22931*o + 205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(1\/13)*o*o*o**(-26)*o assuming o is positive.\nAnswer: o**(-298\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 301 + -301. Let a(i) be the third derivative of 0*i**4 + j - 4\/3*i**3 + 0*i + 1\/10*i**5 + 3*i**2. Differentiate a(n) wrt n.\nAnswer: 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.2 - 0.7. Let r = 5.802 - 0.836. Let z = r + 0.034. What is the nearest to 1 in z, -4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-168)\/(-49)*(-4)\/(-24).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the third derivative of -g**6\/150 + g**5\/3 + 41*g**4\/15 + 112*g**3\/15 - 1198*g**2. Factor l(b).\nAnswer: -4*(b - 28)*(b + 1)*(b + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2\/2 - 186941*b\/2 - 186943.\nAnswer: (b - 186943)*(b + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 117913 - 117913 - 6*i**2.\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 3 = 0, i + 0*i = -2*u + 3. Let x(p) = p - 2. Let r be x(u). Let y = 7 + r. Solve 0 = -a - d - y, -2*a + 5*d = -5*a - 26 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*0.05.\nAnswer: -0.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 144\/60 + (-2)\/5. What is the remainder when 494 is divided by 2 + (24 - (-3 - o))?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**1\/((x\/(x\/(x\/((x*x\/(x*x*x**(-6\/5))*x)\/x))))\/x)*(x**(2\/7)*x*x)**(-16))\/((x\/x**(2\/7)*x)**(-26))**2 assuming x is positive.\nAnswer: x**(1917\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4*((-21)\/6)\/7. Suppose 7*g = s + 2*g - 26, -j*g = s - 12. Solve -12*i = -s*i + 12 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 58 = 3*n - 5*n, -15 = 3*i. Does 3 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -536.3 - -536.129. Is b smaller than 3\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -8*n + 10*n - 11 + 2. Let d be w(8). Suppose 5*t - d = 38. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/66 in -3\/8, -15072, -0.5?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 72815742?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the third derivative of r**5\/60 + r**4\/3 + 3*r**3\/2 - r**2. Give l(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/10 and -39\/159346.\nAnswer: 796730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((154\/(-105))\/(-11))\/((-2)\/6)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 23327 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3057642 and 882?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -385390*g. Let r(h) = -2*h**2. Calculate y(r(v)).\nAnswer: 770780*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 17026 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 1)\/(16\/(-176)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*h = -95*h + 668 + 123. Which is the closest to 6? (a) -0.2 (b) h (c) -0.6 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -4 (b) -3 (c) -7\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, 0, 2, -174?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = -2*w - 5, -1011*w - 3*j - 7 = -1007*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of -n**6\/120 - n**3\/3 + 2*n**2. Let j be u(-2). Suppose 3*y = -3*d + j, -y - 2*y = -d + 6. Is 3 >= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-11)*275\/(-50)*2?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 365 + -281. Let u(q) = v*q - 283*q + 94*q + 92*q. Let h(o) be the first derivative of 3*o**2\/2 + 2. Determine h(u(c)).\nAnswer: -39*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.2 and 2769349?\nAnswer: 2769348.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 2. Suppose -k - 5*h = -12, -4*k - 2*h + 4 + 8 = 0. Suppose 5*v - 2*d = k, -u*d = 4*v - 4*d - 2. Put -1, 5, v in decreasing order.\nAnswer: 5, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -5*s**2 - 11*s + 31. Let k = 30 - 19. Let a(r) = -r**2 - 2*r + 6. Let c(u) = k*a(u) - 2*v(u). Factor c(z).\nAnswer: -(z - 2)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1955877 - 19*g**2 + 1955877.\nAnswer: -19*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/104 and 4\/(-5) + (-18921)\/(-7420) - (-3)\/(-8).\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.3 (b) -4 (c) 162 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10281*d**6 + 24*d**2 + 133141 wrt d?\nAnswer: -1233720*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 48 + (-6 - 1) + (7 - -8 - 23).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 47 = k, 2506*z - 2507*z + 17 = 7*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 4 + 2 + sqrt(80) - (-2*sqrt(80) + -2 + -3))**2.\nAnswer: 336*sqrt(5) + 916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -225\/7, 0.175, 0 in ascending order.\nAnswer: -225\/7, 0, 0.175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -4 (b) 0.02 (c) -3166 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -5*z**2 + 50*z**2 - z - 21*z**2 + 62*z**2. Let y be (2\/(-6))\/((-2)\/(-6)). What is the remainder when f(y) is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2 - 6*w - 2. Suppose 0 = -5*d + 2*k - 14 + 1, -2*d - 3 = -3*k. Calculate s(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 3*r - 8\/3*r**2 + 1\/3*r**3 + 6 = 0.\nAnswer: -1, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11987000 to the nearest 100000.\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -142*r - 64*r = 1854 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - 16d?\nAnswer: -170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 2*m - 3. Let c be u(3). Suppose -2*t = -5*b + 6, -b + 5*b - 18 = -5*t. Suppose 3*x = 5*s + 11, x + c*s = t - 3. Solve 7*d - 25 = x*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 108 + -2. Is b*(-2 + 3)\/2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-9 - -9) + 1\/3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aj when two letters picked without replacement from {j: 14, a: 5}?\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:30 PM and 9:42 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the third derivative of x**4\/8 + 11*x**3\/6 - 2*x**2 - 61. What is l(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 216 divided by 37311.\nAnswer: 72\/12437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/v**5))\/((v*v**22\/v*v*v)\/v)*((v**(-37)*v)\/v)\/v*(v\/v**(-3\/20)*v)\/v assuming v is positive.\nAnswer: v**(-1097\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -2628\/5 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 749 (base 10) to base 6.\nAnswer: 3245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 363 divide 10984017?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -675*x + 792 + 1908. Solve -14*i = -17*i + s + 13, 0 = 2*i - x*s - 12 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 46 - 46 + n**2 + 0*n**2 - 20*n. Let i(s) = 83*s**2 + 76*s**2 - 160*s**2. Calculate i(w(z)).\nAnswer: -z**4 + 40*z**3 - 400*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1707 and 3.\nAnswer: 1710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 18538062 a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 29*m + 91. Let r be a(-3). Suppose -f + 1388 = r*x, 2*x + 4*f + f = 712. Is 45 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(0 - -2) - 0. Suppose -5*k - d + 4*d = -180, -4*k = -d - 137. Suppose p*x - k = -x. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, c: 2}. Give prob of picking 3 x.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*m**2 - 20*m**2 - 1123*m + 1107*m.\nAnswer: -4*m**2 - 16*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9800.9 - 9801. Which is the third biggest value? (a) -1 (b) -0.0519 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes before 1:17 AM?\nAnswer: 12:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -6*s - 32. Let p be t(-6). Suppose 2*x + 2 = 2*c, 2*c - 1 = -x + 10. Solve 1 = p*f - x for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((27*92\/(-2070))\/((-24)\/(-15)))\/(3\/(-20)). Let a be -2*2\/1 - 1. Sort a, 0, m in decreasing order.\nAnswer: m, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 99 - 330. Let r be (146\/(-452))\/(h\/456). Let j = r - 1\/791. Find the common denominator of j and 1.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 38 + -36. Suppose k*v + 14 = 4*v - z, 16 = -4*z. Let c(a) = -a**3 + 4*a**2 + 4*a + 9. Let y be c(v). Solve -4*t - 5 - 7 = 0, -y*j - 4*t = 12 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 4*d - 19 = d, -4 = k - 3*d. Suppose -27 = -4*l + k. Let f = 9 - 2. What is the smallest common multiple of l and f?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 + 9*b**2 + 21*b + 18. Calculate n(11).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*v + 1 - 3 - 7 + 10 - 1.\nAnswer: -5*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58301 = 3839*h + 534*h + 247809 for h.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**4*l\/(l\/(l\/l**18))*l)\/((l\/l**(-8\/7)*l)\/(l**(1\/15)\/l)) assuming l is positive.\nAnswer: l**(-2423\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-40)*206 - (-33)\/990*-3?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, c: 6, v: 3, r: 4, e: 2}. Give prob of sequence rqrr.\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 27 = -4*t, 0 = -0*t + 3*t + k - 21. Let d = t - 4. Let b(a) = 3 + 0*a - 4*a + 0 + 2*a**2. Calculate b(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 185 is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110*r - 41*r - 1638 = -57*r. Solve -37*o = -r*o - 144 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 + 176*u**2 + 378*u - 3912. Calculate c(178).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*u - 6*u = 5*u + 195. Sort u, 5, -104, 3, -3 in decreasing order.\nAnswer: 5, 3, -3, u, -104","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 g when two letters picked without replacement from {x: 4, s: 1, g: 2, d: 2}.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4\/179 (b) 1\/3 (c) 43 (d) 3358\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 - 39901.\nAnswer: -39900.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -21 - (-4)\/2*12. Let l(m) be the first derivative of 2*m + m**2 - 1\/4*m**4 - m**v + 41. Determine l(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 15, -9, -10 in ascending order.\nAnswer: -10, -9, 6, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-47)\/(-235)*1840\/16.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 < 2\/1993?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4 - 2308*3\/(-2). Suppose -1373 = -j - 3*z, -4*j = -5*z - 1966 - r. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-36)\/(-21))\/(-4) + 564\/42. Suppose h*r - 20 = 23*r. Put r, 3, 4, -8 in ascending order.\nAnswer: -8, r, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10 - t**2 + 0*t**2 - 6*t**2 - 7 with respect to t.\nAnswer: -14*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - l = 5*b - 85, 0 = -4*l + 4*b + 36. Suppose -3816 = -l*h - 11*h. What is the remainder when h is divided by 41?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2. Let v(s) be the first derivative of s**3 + 5*s**2\/2 + 60. Determine b(v(g)).\nAnswer: -9*g**4 - 30*g**3 - 25*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - -3. Suppose 0 = -5*k + c + 17, -c + t*c = 5*k - 11. Let h be (k - 1)\/((-3)\/2). Which is smaller: -3 or h?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/70, 2\/3, -725?\nAnswer: -725","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.05 + -0.25. Which is the closest to 7\/5? (a) k (b) -2\/11 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000139 rounded to 6 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 4*f + 8*f - 2*f**2 + 9 - 6*f**2 + f**3 - 5*f. Suppose -987*o = -989*o + 14. Determine g(o).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express l**4 - 5*l - 21 + 7*l + 2*l**2 + 19 + l**3 as y + n*l**2 + t*l**4 + i*l + d*l**3 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 56 + 146 = 3*t, -2*t = -5*j - 120. Let o be 4\/(-7)*t\/(-20). Is o >= 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 10) to base 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a centimeter in millimeters?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 369 divide 244647?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*q + 53 = 43 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 4*k - 12, 5*t = -0*t - 5*k + 15. Let l(f) = f - 8. Let m be l(6). Suppose p + o = -7, -4*p = -0*p - 3*o + 7. Put t, m, p in descending order.\nAnswer: t, m, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 95290?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (20 - 4020\/210) + (-6)\/7. Solve g = 2*d + b - 1, -6*d = -d - 5*b - 10 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(55)\/(sqrt(35)\/sqrt(112)).\nAnswer: 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*f**2 + f**2 - f**2 - 4*f**2 + 5*f**2 + 3*f**2 + (106*f + 880*f - 75*f)*(-4 + 4 - 4*f) to t*f**2 + k + z*f and give t.\nAnswer: -3638","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 y when two letters picked without replacement from {i: 1, e: 6, y: 2, t: 3, z: 4, w: 2}?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -620*i**2 - 567*i**2 - 556*i**2 + 1688*i**2.\nAnswer: -55*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = -23*w - 53 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppp when three letters picked without replacement from pppppppbpbp?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 15820 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 2*k - 19. Let r be (-12)\/k + 273\/2. Let o be 6\/10 - (r\/18 - 7). Do -0.2 and o have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 0*k = -4*p + 14, -1 = -p. Suppose -2*f - 9 = -k*f. Let c be (-33)\/(-9) + 3\/9. Solve 2*t = -f*n - 27 + c, 3*t = n - 7 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -44? (a) 0.3 (b) -0.4 (c) -2 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 47b + 4?\nAnswer: 480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*w + 6*w**2 + 0*w - 3*w**2 - 3*w.\nAnswer: 3*w*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -677*r - 9. Let n be q(1). Let x = 1119 + n. What is the hundreds digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 341.0963 to 1 dp.\nAnswer: 341.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*j - 57*j - 1911 = -11*j for j.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 4}. What is prob of picking 4 e?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of 0*a + 1\/30*a**5 + 3 + 2\/3*a**3 + 1\/4*a**4 - 5\/2*a**2. Let u(n) be the second derivative of c(n). Factor u(z).\nAnswer: 2*(z + 1)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 32 = 23, -3 = -d - b for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.96 - 0.04. Let b = -3.38 + 1.38. What is the closest to 0.1 in 0, b, i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 77*i + 2026 - 320 + 1759 for i.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 4.687596 nanometers?\nAnswer: 0.000000004687596","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 140.4609 centimeters?\nAnswer: 1404609000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -83 - -57. Let p = -16 - z. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -3*s + 26. Let d(n) = 23*n**2 + 22*n + 11. Let t be d(-1). Calculate f(t).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -48*h - 1. Suppose 6*a - 33 = -5*a. Let w(z) = a*z - 6*z - 2*z + 6*z. Give b(w(d)).\nAnswer: -48*d - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do 7 and -13 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 14116986?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 11*z + 2*r = 34, -5*z + 38 = 4*r. Let p(n) = 16*n**2 - 5*n + 25. What is the hundreds digit of p(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*b - 7*b + 51 = 3*b - 7*b for b.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of 2*y**3\/21 + 3*y**2\/7 - 8*y\/7 + 380. What is v in a(v) = 0?\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1155 - 1140. Calculate the highest common factor of 1020 and g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3182 + 3177. Let l = -8 - -9. Put o, 150, l in descending order.\nAnswer: 150, l, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1682 a factor of 481431506?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-2))\/(30\/36)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (154\/4)\/(86\/((-134160)\/(-1092)))\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (90\/8)\/((27\/(-12))\/(531\/(-1888)*-16))\nAnswer: -45\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 113.6 (b) 2 (c) 43997\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -21? (a) -2 (b) 2 (c) -0.1 (d) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/68)\/(1523\/155346).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - -4. Let p = a + 0. Let h = 2.6 - 0.6. Put 2\/3, h, p in descending order.\nAnswer: p, h, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -4, -71, 443, 2, 1 in decreasing order.\nAnswer: 443, 2, 1, -3, -4, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3\/2)\/((-3)\/(-4)). Suppose -3*f + 6*q - 32 = m*q, -16 = f + 4*q. Let i = f - -24. Calculate the highest common factor of i and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/8 of a tonne?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the third derivative of -5*n**8\/112 - 26*n**7\/35 - 5*n**6\/8 + 389*n**5\/10 + 219*n**4 + 288*n**3 + 9*n**2 - 50. Find f such that a(f) = 0.\nAnswer: -8, -3, -2\/5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*m + 2*m + 0*m + 2*m**4 + (5*m**2 - 2*m**2 - 4*m**2)*(-3*m**2 + 3*m**2 + 3*m**2).\nAnswer: -m**4 - 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 37071 - 4893335\/132. What is the common denominator of w and 13\/96?\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*186.1\nAnswer: 55.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/28 + (-8)\/252. Let n be (2 - 1)\/(77\/(-14)). Sort -4\/9, n, h in increasing order.\nAnswer: -4\/9, n, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 594 = -410*u + 437*u. What is the highest common factor of u and 429?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 + 6*k - 6. Let z be d(4). Is ((-1011)\/2)\/(-3)*z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mdtum. What is prob of sequence mmut?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.0263 * 0.2\nAnswer: -0.00526","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30632?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.2, -21, 0.3, -18, -15?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -59 - -119\/2. Let u(k) = k**3 - k - 1. Let l be u(-1). What is the nearest to p in 4, 2\/7, l?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58451 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (6\/(-14))\/(125\/(-1306375))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/16 of a day?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**3\/15 - 261934*r**2\/15.\nAnswer: -2*r**2*(r + 130967)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 112321861 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -12.3 and -0.5?\nAnswer: 6.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 7*g**3 - 29*g**2 + 3*g + 5. Let y(c) = -4*c**3 + 14*c**2 - 2*c - 3. Calculate 3*t(v) + 5*y(v).\nAnswer: v**3 - 17*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*(6 + -1)\/(-55). What is the biggest value in -2\/17, 5, g?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/9))**(-12) assuming z is positive.\nAnswer: z**(8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + 2*sqrt(1573)*-5 + sqrt(1573))*4)**2 + -5 + -1*(sqrt(637) + 0)*5.\nAnswer: -15875*sqrt(13) + 2039003","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(275) + 5 + sqrt(275) + 1 - (sqrt(275) + sqrt(275)*-1 + 0).\nAnswer: 6 + 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sds when three letters picked without replacement from sadkdadkddsd.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10.069 - 10. Let c = 13.497 - 7.828. Let o = c - p. What is o rounded to 0 dps?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from httkkwohtoktkttwwwtk. What is prob of picking 1 h and 1 w?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 298c - -4a0c?\nAnswer: 759a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 54 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2511445 to the power of 1\/2, to the nearest integer?\nAnswer: 1585","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the second derivative of -r**4\/4 + 34*r**3\/3 - 17*r**2 - 15*r - 167. Give b(22).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2245631 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -8*z**2. Determine w(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -389.\nAnswer: 1\/389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 372473 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -151 + -21556?\nAnswer: -22040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2 - 14*p - 309. Suppose -5*t - 144 = 44*t - 1418. What is i(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 165469481 - -731.\nAnswer: 165470212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 783547 is divided by 2979?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (26*(-7)\/42)\/(39\/9 - 4).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -59522, -59522, -59524, -59528, -59534?\nAnswer: -59542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-70)\/28*4\/(-20).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77 is divided by 18.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1461 divided by -3.\nAnswer: 487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -2062645*t. Let b(s) = -43*s. Determine d(b(n)).\nAnswer: 88693735*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -47*v**5 + 57*v**5 - 4*v + 3*v - 4*v wrt v.\nAnswer: 200*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1416)\/9*12\/2. Is (-2)\/(2 + m\/470) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 81495?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 714 - 713.5. Let v = -2.1 - -2.3. Sort g, v, -3, 0.3 in increasing order.\nAnswer: -3, v, 0.3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.396 + -0.39894. Round f to four decimal places.\nAnswer: -0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 163388\/317 at most 515?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 24*h**3\/11 - 20938*h**2\/11 + 8714*h\/11 + 5232\/11 = 0.\nAnswer: -1\/3, 3\/4, 872","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010100 (base 2) in base 12?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*u + 32 = 51 - 31 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 + 15*n**2 + 14*n + 34. Let b be a(16). Suppose b = -2*y, -z - 4*y = 2*z - 50. Calculate the remainder when 2637\/z + (-3)\/(-6) is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 35 (b) 1 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1981472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -3 + -3 - (6 - 6)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-9)\/(-6))\/(12\/16). Suppose 4*o - 5*o = -w. What is the common denominator of (o\/8 + 1\/(-6))*-11 and -59\/36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 + 31 + -1 + (41 + -45 - -14 - 25).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6\/1321 in 2, 2\/9, -4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -304*q + 45*q - 326 + 1103 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from {n: 12, q: 6}.\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1188253 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-5)\/(-25)) + (0 - -4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 16*m**2. Suppose 0*c - 4*i = 5*c - 57, i = 2*c - 15. Let f = 12 - c. Let w(s) = 4*s - 2*s - f*s. Calculate w(u(y)).\nAnswer: -16*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 5\/8 of a hour?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -2*y**3 - 13*y**2 - 7*y + 1. Calculate u(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 140 = 6*j. Let a = j - -38. Suppose -a*y + m + 79 = 0, -y + 5*m - 8 + 53 = 0. Does 17 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 15\/75*6483\/284 - 2. Let z = 53\/20 - c. Which is greater: z or 0?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of -t**5\/60 - 7*t**4\/12 - t**3 + t**2. Let y be s(-13). Let d(w) = 7*w - 14. List the prime factors of d(y).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -8*b - 36. Let q(z) = z - 1. Let j(f) = n(f) + 6*q(f). Let w = -275 - -252. Let i be j(w). Which is smaller: i or 5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17 - 3 - -15) + -23.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9090 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + 2200101?\nAnswer: 2200022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -10*i**2 + 430*i - 11. What is the lowest common multiple of 7 and a(9)?\nAnswer: 21343","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -8593, -8588, -8581, -8572, -8561?\n\"Answer: d**2 + 2*d - 8596","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 367\/6 + -61. Let l = 0.042 - 4.242. Let p = 4 + l. What is the second biggest value in -2, p, o?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 2 = 3*g. Suppose -3*v + 5*l - 5 = 0, -v + 0*v - 1 = -g*l. Let u(n) = n**2 - 5*n - 7. Does 9 divide u(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 756 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + w + 11 = 0, -2*w - 9 + 2 = -3*a. Suppose 3*l = -5*t + 14, -a*t + l + 2*l = -18. Let j(v) = v**3 - 3*v**2 - 5*v + 2. Determine j(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -3*a + 30. Let u be h(9). Solve 1\/2 + z**2 - 5\/4*z - 1\/4*z**u = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -6*y + 1. Let a be n(-1). Suppose a + 1 = 4*x. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -40986 - -40988. Suppose 5*l - k - 15 = 0, 0 = -0*k + 2*k. Let i = 0 + l. Calculate the remainder when i is divided by g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 236806?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2292)\/4 + 2 - 2. Let k be (s\/(-552))\/(315\/1164). Let z = -2\/805 + k. Calculate the common denominator of z and -115\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 174 and 84?\nAnswer: 2436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -45 - -45. Which is the second smallest value? (a) f (b) 0.1 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 3*q - 103, -2*t + 3*t - 73 = -3*q. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 * -26\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 - 4*w + 4. Let v be m(-4). Suppose -4*t - 12 = -2*p, 3*t + p + 1 + 3 = 0. Sort 2, v, t in ascending order.\nAnswer: t, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 231 + -270 + (-16)\/((-640)\/1512).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 216113 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -1\/78 (b) 4 (c) 0.68 (d) 2 (e) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2519\/2 - 1293. Let k(g) = 119*g - 6. Let q be k(-1). Find the common denominator of (q\/675)\/((-1)\/(-13)) and r.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m + 3*m**4 + 2*m)*(10 + 1 - 3).\nAnswer: 24*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/8 and 107\/78.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**2 - 11*g + 2. Let c be z(-11). Suppose -679 = c*s - 1839. Is s\/12 + (-2)\/(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:39 PM and 11:10 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -7) + (76 - 87)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 253 - 175. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -7*r + 19. Let h be k(-4). Suppose h + 235 = 4*f - 3*b, -2*b = 4*f - 292. Does 9 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72) + sqrt(72)*1 + sqrt(72) + sqrt(72))\/(sqrt(196) + (sqrt(196) - sqrt(196)*1)).\nAnswer: 12*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 435*k - 6503 = 14377 for k.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -68837, -137679, -206523, -275369?\nAnswer: -344217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 0*z + 2*u = -8, z + 5*u = -20 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25746868, -25746861, -25746852, -25746841, -25746828?\nAnswer: -25746813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1584))**2 - (sqrt(44) + 2 + -2*sqrt(44))**2.\nAnswer: 8*sqrt(11) + 1536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 164173 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -8, 0 = -17*i + 22*i + c - 7. Which is greater: i or -1\/3824?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = 1\/1101437?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4 and -2481.18.\nAnswer: -2477.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2452680.\nAnswer: 2, 3, 5, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-102)\/(-6))\/((-2)\/(-32)). Let w = 184 - n. What is the tens digit of 0 + w\/(-4) + 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1040, 0, -2, 0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12928541 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h and 1 e when four letters picked without replacement from ssfhshyshhse?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -124 + (-80 - -86) + 31.\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -5375\nAnswer: 4\/5375","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 2257?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -6*u**2 - 2*u - 2. Let c(d) = 164*d**2 - 396*d**2 + 1 + d + 233*d**2. What is -10*c(k) - 5*h(k)?\nAnswer: 20*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 35468 to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (44\/(-12))\/(3\/(-6)*24\/(-36)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of 13*i**7\/30 + i**4\/6 - 43*i**3\/6 + 136*i**2. Find the second derivative of p(h) wrt h.\nAnswer: 1092*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/2*(16 + -21). Let p be (-12)\/l + 0 - 2\/5. Solve -4*a + p*i = -3 + 19, 3*a - 2*i = -11 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -29735 by -5.\nAnswer: 5947","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2342 (base 12) to base 5.\nAnswer: 111223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -35 or -32\/18419?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 5+1392.691319167\nAnswer: 1397.691319167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -111*t + 110*t + 5 + 7*t**2 - 6*t**2 in the form i*t**2 + f*t + s and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4)\/(-2))\/((-1)\/(-2)). Let g(u) = u**3 - u**2 + 10. Let o be g(0). Let i be (6\/(-3))\/(v\/o). Which is the closest to -1? (a) i (b) -3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 11*x**3 - 3*x**2 + 4*x. Let u be j(1). Suppose -4 = -3*s + 4*i + u, 5*i + 21 = 4*s. Solve -4*y = 4*q + 28, -s*q - 32 = 3*y - 7 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -124, 0.07, 270 in descending order.\nAnswer: 270, 0.07, -124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -981, -1.3, 1\/21?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 40 + (1 - 3 - 1). Let o = c - 35. Suppose -o*b + 10 = -2. Solve q = -q + b for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7 and 907.\nAnswer: 6349","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20004384?\nAnswer: 2, 3, 208379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*u**2 + 19*u**2 + 6*u**2.\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 82.87 - -2.13. Let y = x + -49. Let c = -36.00032 + y. What is c rounded to 5 dps?\nAnswer: -0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 d, and 2 a when four letters picked without replacement from fjwfada.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -668 or -491?\nAnswer: -668","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-15\/7)\/t*t**(3\/2)*t assuming t is positive.\nAnswer: t**(-9\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -9*j**2 - j - 1. Suppose 0 = -29*n + 310 - 513. Let k(f) = -2 - 13*f**2 - 3*f + 2*f + 0*f. Give n*m(a) + 5*k(a).\nAnswer: -2*a**2 + 2*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 16 = -5*y + 2*y, -5*l - 22 = -3*y. Suppose 4*o - 4*z - 4 = 0, 3*o + 0*o - y*z = 6. Let x(j) = 5*j + 3. What is x(o)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -a**4*m - 51*a**3 + 4*a**2*m - 589*m wrt a.\nAnswer: -4*a**3*m - 153*a**2 + 8*a*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6360412 or -6360389?\nAnswer: -6360412","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8331476*j**3 + 5*j - 153357?\nAnswer: -49988856*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/72 and -46\/1095993.\nAnswer: 8767944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -2*sqrt(1300) + 4 - (-1 + (sqrt(1300) + -6*(sqrt(1300) + -1))**2).\nAnswer: -32528 + 580*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 99*y + 50*y - 248*y + 98*y + 95*y**2.\nAnswer: 95*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/8 - (-1842)\/24. What is the greatest common divisor of b and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2131201412 (base 5) to base 2.\nAnswer: 10001010111101010001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(273)\/(2*sqrt(7)))\/sqrt(3).\nAnswer: sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c - 3*c - 2*c - 9 + 3*c.\nAnswer: -c - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -32 - -35. Solve 2*j = 5*x - 26, h*x - 3 = -j + 6 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*j + 1058 = -42. Let i = -69 - j. Let l be ((-5)\/5)\/1 + 5 + 1. Solve i = -5*u - f + 5*f, 21 = -l*u - f for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -155803.73 + 156943. What is u rounded to the nearest 10?\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1d84 (base 16) in base 2?\nAnswer: -1110110000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*-1*12*6\/18 - -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-123)\/328*352\/(-6). Which is the second smallest value? (a) 1 (b) -1\/3 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 387085 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/145638 and -64\/71949.\nAnswer: 120442626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 2 + (-2 - (-6 - -10)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 AM and 8:36 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1874 is divided by 65?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/14 + 34\/(-70). Let l(s) = -9*s - 38. Let u be l(-4). Which is the nearest to u? (a) p (b) -3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -124.869 + -0.131. Let n = -135.4 - i. What is n rounded to zero dps?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 519166?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*u + 3537 = 15*u. Calculate the remainder when u is divided by 74.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*x - 19*x - 20*c + 60 = 0, -5*x - 9*c + 14 = -12*c for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-16134 - -6) + 7 - 1. Let l = h + 28351. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -j + 1. Let w be j - (-4 + 2) - -3. Suppose -3*l - l = w. Which is smaller: l or 0.1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y - 5. Let d be u(-4). Let t be (d + 2)\/(3\/6). Find b, given that 1\/3*b + 1\/3*b**t + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1977 - -1985. Let k(c) = c**3 - 4*c**2 - 7*c + 4. Let n be k(7). Let w = -30 + n. Calculate the greatest common factor of s and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**5\/5 - 27*a**4\/5 + 69*a**3\/5 + 27*a**2\/5 - 324*a\/5 + 324\/5.\nAnswer: 3*(a - 3)**3*(a - 2)*(a + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o - 2 = 2*s + 7*o, 4*s + 4*o - 20 = 0. Calculate the highest common factor of s and 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 13*c - 1. Let m(x) = -7*x**2. Determine m(k(j)).\nAnswer: -1183*j**2 + 182*j - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5 or -152.29?\nAnswer: -152.29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 195 and 21216?\nAnswer: 106080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 3*d = 2*d - 14, -g - 17 = -5*d. Let 4*l**g + l**3 + 4*l**2 + l**3 = 0. What is l?\nAnswer: -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do 574 and 103 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 n when two letters picked without replacement from {g: 2, n: 2, w: 1, f: 9}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - -8. Solve -c*j - 7 - 5 = l, l - 3*j - 18 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 270\/(-75)*-3*(-30)\/(-36). Solve 0 = -4*c - 3*l + d, 73 = -c - 5*l + 88 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1345663688.\nAnswer: 2, 103, 239, 6833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16 - 11. Suppose -2*h - 5*t - 4 - 4 = 0, 5*h - 4*t = 13. Let d = g - h. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 3*f**3 - 2*f**2 + f. Let j be y(1). Suppose -x - j = 3*z - 5*x, -x = -2. Which is the nearest to 0? (a) 0 (b) z (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 6 + 14*d + 2*d**2 - 5*d - d**2. Is v(-10) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, d: 2, f: 4}. Give prob of picking 1 j and 1 f.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -29 - -28. Which is the smallest value? (a) 0 (b) u (c) 0.4 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31.7541 nanometers to millimeters.\nAnswer: 0.0000317541","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6445.\nAnswer: 5, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -24*v - 2357. Calculate s(-75).\nAnswer: -557","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y - 4. Let c(l) = -1. Let s(o) = -5*c(o) + w(o). Let z(x) = 9*x - 4. Suppose 0*n = 6*n - 8*n + 2. Calculate n*z(b) + 6*s(b).\nAnswer: 3*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 269266 to the power of 1\/2, to the nearest integer?\nAnswer: 519","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -133, -114, -83, -40, 15, 82?\nAnswer: 161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43130*f**3 - 43126*f**3 + 3 - 3.\nAnswer: 4*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-191)\/3*(-9)\/(-84). Let h = 39\/7 + z. Let i = -5\/9 - -8\/9. Which is the nearest to i? (a) 0.5 (b) 0.2 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzuuzuuzzzzzzzu. Give prob of sequence zzu.\nAnswer: 55\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of -o**6\/18 + 17*o**5\/15 + 19*o**4\/6 + 2*o**3\/9 - 37*o**2\/6 - 19*o\/3 + 111. Solve t(q) = 0 for q.\nAnswer: -1, 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.17 (b) -2\/59 (c) -191 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 35101 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 7 = 6*w + 3*s, 3*s + 2 = w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 204857 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -250 + 269.4. Let u = p + -19.7. Let o = 0 + -4. What is the third smallest value in o, 1, u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -3*k + 13, o - 2*k - k - 17 = 0. Suppose -48*v = -72*v - 216. Put 0, v, o in decreasing order.\nAnswer: o, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 3 + 5. Let h(j) = 8*j**2 + 3*j + 1. Let f(q) = 15*q**2 + 7*q + 2. Let k(v) = -2*f(v) + 5*h(v). Is k(x) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*64\nAnswer: -19.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 3*r = -4*i, -4*i - 3*r = -4. Differentiate -1 + 2*j - 2*j - j**i with respect to j.\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 31 = 9*g. Let s be (g\/(-2))\/(18\/24). Let t(u) = -s*u + 7 + 1 - 4. Give t(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 16) in base 5?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4647 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 198687 to the power of 1\/2, to the nearest integer?\nAnswer: 446","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6\/(-21) - (-1620)\/35.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -1 + 1321 + -5 + -4?\nAnswer: 3, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-5)\/(-2) - -3)*2. Suppose g*b = 6*b. Determine p so that b + 2\/7*p**2 + 0*p + 2\/7*p**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -5*k + 21. Let y(a) = 4 - 2 + 7*a - 62*a**3 + 3*a**2 + k*a**2 + 63*a**3. Calculate y(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c*c*((c\/c**(-1\/9))\/c)\/c*c)\/c*c\/(c**(1\/13)*c)*c*c\/((c*c**7)\/c)*((c\/c**20)\/c)\/c assuming c is positive.\nAnswer: c**(-2687\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -3*h**5\/4 - 2717*h**4\/2 - 116753*h**3 - 534591*h**2\/2 - 759049*h\/4 - 37862 = 0.\nAnswer: -1721, -88, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of g**2 + 48*g + 428 wrt g?\nAnswer: 2*g + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d - 2796 = 5*d. Suppose -6*i + 21 = -d. List the prime factors of i.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*f**(-13\/2))\/((f\/(f**(-1\/3)\/f*f))\/f))\/(f**(-2\/97)*f\/(f**(2\/25)*f*f)) assuming f is positive.\nAnswer: f**(-54311\/14550)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ajjajjajaajjjjjajjj. What is prob of picking 2 j?\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 12215 + -51?\nAnswer: 12144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do 67\/343696 and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2400 and 96?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12*i**2*w**2*z - 4*i**2*z**2 - 10*i**2*z - i*z**2 - 2*i*z + 10*w**2*z**2 + 5*w**2 wrt i.\nAnswer: -24*w**2*z - 8*z**2 - 20*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -1260 - 1325. Calculate the greatest common divisor of h and 47.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/9)\/w**(-30))\/(w**7)**(-1\/6) assuming w is positive.\nAnswer: w**(565\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1607 - 6299 = -l + 1376. What is the hundreds digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 848\/212*1\/((-36)\/531)\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j - 2*j - 4*j)*(j - 5*j + 3*j) + (2*j**2 + 0*j**2 - 4*j**2)*(-37 - 9 + 3) + 0 + 0 - 2*j**2.\nAnswer: 86*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -8308 equal to -8308?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 335652241 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 53674 to the power of 1\/4, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 93*w - 3. Determine b(-3).\nAnswer: -282","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2686 or 2704?\nAnswer: 2704","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94*c - 27*c = 119311 + 30501. Is c a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-100)\/(-6))\/((-3)\/9). Let a = t + 117. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + r + 220. Suppose 8101 = 13*j + 6528. Calculate the lowest common multiple of j and r.\nAnswer: 1210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 9\/6*48\/9. What is the units digit of 8 - h*(-1)\/(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-91)\/(-1768))\/(2072\/(-5920))\nAnswer: -5\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 901634 and 0.58.\nAnswer: 901634.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 120994*-0.521\nAnswer: -63037.874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -364322.000316943 - -364322. What is b rounded to 6 decimal places?\nAnswer: -0.000317","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.012 + 8.012. Suppose 2*q + 4*h - 12 = 0, -11 = -2*q - 3*h - 0*h. Let x = 185\/27 + -713\/108. Which is the second biggest value? (a) z (b) q (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23852?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-96)\/(-120)*(-1)\/(-2)*-5*8.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 b when two letters picked without replacement from {u: 1, b: 2}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 2) to base 7.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -79 (b) -437 (c) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 PM and 3:41 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 10*f**2 + 5*f - 35. Let q(y) = 5*y**2 + 2*y - 18. Suppose 2 = 2*b - 2. Let p(u) = b*g(u) - 5*q(u). Determine r, given that p(r) = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n. Let i(v) = -11*v - 5. Calculate 5*g(c) + i(c).\nAnswer: -16*c - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i**3 + i**2 - 242*i - 480 = 0. What is i?\nAnswer: -15, -2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42331 (base 5) to base 12.\nAnswer: 1789","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 41, 6, -29, -64?\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3728039, -3728032, -3728025, -3728018, -3728011, -3728004?\n\"Answer: 7*x - 3728046","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -8*x + 20. Suppose -115 = 3*f + 2*f + x*y, 0 = 3*f - 2*y + 89. Is -27 bigger than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 11*i - 9. Let n(s) = -s**3 - s**2 + 2*s + 3. Let j be n(i). Let w(b) = b**2 + 3*b - 10. Give w(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 202*a**3\/3 + 12826*a**2\/3 + 200320*a\/3 - 34816 = 0.\nAnswer: -32, 51\/101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -223*n**2 - 4780*n - 44. Determine d(-22).\nAnswer: -2816","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.07 + -0.05. Let y = a - -0.32. Let n = -0.200001 + y. What is n rounded to 6 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 31348949?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f**(-8))*f*f**(-6\/5))\/(f*f*f\/(f**(1\/5)\/f*f)*f)**43 assuming f is positive.\nAnswer: f**(-778\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*z - 35*z = -191*z + 40*z + 2205 for z.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 41411164679 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= 15\/116?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -2163, 2\/3, 4, 0.1 in decreasing order.\nAnswer: 4, 2\/3, 0.1, -2163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 - 8 + 12)*(-6 + 4 + 5)*(6*q**4 - 4*q**4 - 4*q**4).\nAnswer: 30*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11186.021 + -11205. Let t = p - -19. Let f = t - 0.721. What is f rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/1046 and -50\/3.\nAnswer: 3138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*l - 4, 5*l - 10 = a + 2 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3473.00389 + 3473. What is x rounded to three dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -79*r + 3. Let v(l) = 77*l - 3. Calculate 5*k(z) + 4*v(z).\nAnswer: -87*z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zfzzfzzz. Give prob of sequence zz.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**4 + 33706971*r**3 + 404483940*r**2 + 1617936144*r + 2157248448.\nAnswer: -3*(r - 11235669)*(r + 4)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 + 5*c**2 + 6*c + 2. Let n be f(6). Suppose -n = x - 7. Suppose -4*k + 1 = -3*v - 30, -5*k - 5 = 5*v. Sort -2, x, v in increasing order.\nAnswer: v, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*d - 36 = -14*d. Let s(k) = -k**2 + 20*k - 50. Let g be s(d). Let o(h) = h**3 + 3*h - 5. Let c(b) = 2*b**3 + 8*b - 14. Give g*o(n) + 5*c(n).\nAnswer: -4*n**3 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 + 4*v**2 + 7*v + 6. Determine i(5).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -1\/3 (b) -4 (c) 0 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/((-136)\/6477*(-6)\/8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(2736) + -1 - sqrt(2736)) + sqrt(2736) + 1 + 1*(sqrt(2736) - (sqrt(2736) + -1)).\nAnswer: 2 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 - 16*g**2 - 7*g + 22. Let n be d(-11). Let w = 554 + n. Calculate the greatest common divisor of w and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18077 + 22*l**2 - 6*l**2 + 18077.\nAnswer: 16*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 15*m - 3. Let n(o) = -16*o + 4. Calculate -3*i(u) - 2*n(u).\nAnswer: -13*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 5*y = -20, 8 = -4*d - 3*y - 4. Suppose d = j + 4 - 55. What is the greatest common divisor of j and 476?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + 3555461?\nAnswer: 3555464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7445 + 7475. What is the highest common factor of 1656 and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 230 is divided by 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-81)\/(-18))\/(2 - 38\/16). Let y(d) = d**2 + 16*d + 50. Let w be y(h). Solve w = -5*i - 3 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 4*l**3 - 20*l**2 + 8*l + 3. Let m be o(4). Which is the nearest to -3? (a) 3 (b) -1 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 n when two letters picked without replacement from {j: 2, n: 2, a: 2}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-3\/19)*b)**31\/(b**(-2\/17))**(-32) assuming b is positive.\nAnswer: b**(20391\/323)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 0)\/((-10)\/(-5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -4*k**2 + 8. Let w(y) = 1. Let b be (-10)\/3*3\/2. Let a(u) = b*w(u) + c(u). Find the first derivative of a(g) wrt g.\nAnswer: -8*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2357*b - 3079*b = -1444 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence azg when three letters picked without replacement from pzpupzpzepzzga.\nAnswer: 5\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -104.11 + 0.11. Let t = -45610.0224 - -45714. Let m = o + t. What is m rounded to 3 dps?\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*h + 10*z + 3*z - 26, 2*h = 9*z - 5*z - 8 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 68 - 64. Suppose 4*p = z*j - p - 912, -4 = p. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -13 - 51245?\nAnswer: -51302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 PM and 12:54 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of 0 - 1\/2*n**3 + n + 2*n**2. Let h be o(-5). Solve 0*l + 5*p = -3*l + h, -5*l - 4*p = -23 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-four fifths of a hour in minutes?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 346 and 14013?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 21 + -10564?\nAnswer: -10543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1211*o + 277*o**2 + 512*o + 699*o.\nAnswer: 277*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2389*r**2*y**2 - 35*r**2*y - 5*r**2 + r - 116*y**4 + y - 19150 wrt y?\nAnswer: -4778*r**2 - 1392*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.0764458 months in millennia?\nAnswer: 0.00017303715","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125*w + 5*w**5 - 165 + 210*w**2 - 45*w**4 - 291*w**3 + 356*w**3 - 195*w**3 = 0. Calculate w.\nAnswer: -3, -1, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 133997112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 3, 0.1, -4583, 3\/4, 1\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 194324 is divided by 194225.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 1)*(-6 + 6 - r) + (-110 - 43 - 7)*(-5*r + 4*r + 3*r).\nAnswer: -322*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -36354 + 36354 - 302*r + (-1 + 1 - 1)*(-3 - 4 + 5)*(0 - 1 + 3)*(-4*r + 3*r - r + (-2*r - 2 + 2)*(-2 + 4 + 0))*(-2 + 3 + 0).\nAnswer: -326*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -11*z**2 - 832*z + 6919. Give d(8).\nAnswer: -441","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(51) - sqrt(153)\/(2*sqrt(3)))\/(sqrt(108)*-2) + sqrt(170)\/(-6*sqrt(490)) + 5)**2.\nAnswer: -55*sqrt(17)\/84 + 566537\/28224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (26\/4)\/((-13)\/(-65)). Let x = t + -32. Which is bigger: x or -2\/5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 377, 9\/4, 38?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 26 + -24. Suppose 0*a + 4 = -a + 2*p, m*p = -2*a + 16. Differentiate -41*c + 23*c + 10 + 18*c + a*c**2 wrt c.\nAnswer: 8*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 89257694?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*h + h - 35*h**2 + 84*h**3 + 36*h**2 - h to k*h + w*h**3 + v + f*h**2 and give w.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**2 - 372*u + 11532.\nAnswer: 3*(u - 62)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -12 - (-4 - (-16)\/8) - -27\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22811?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-5\/2))**(-47)\/((h**(-18)\/h)\/(h\/(h*h**10))))**(1\/4) assuming h is positive.\nAnswer: h**(253\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 - 12*x**2 + 6*x - 10. What is s(11)?\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/8 of a litre in millilitres?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 12:55 PM?\nAnswer: 8:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/4 (b) 76\/27 (c) 0.1 (d) -1 (e) -8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (4 - 11) + (-3 + 2 - -4).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1069 is divided by 69.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 167739048 to the power of 1\/3, to the nearest integer?\nAnswer: 551","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 43*k**2. Let s(q) = -q - 4. Let i(a) = 11*a + 12. Let y(x) = 2*i(x) + 6*s(x). Give f(y(p)).\nAnswer: 11008*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0355483 to 2 dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.000991 + 0.00651. Round g to three dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/t**(-1))\/t)**4*t**(7\/4)\/t**(-4))\/((t\/(t\/(t**(-2)\/t)*t)*t\/(t**4\/t))\/(t**(1\/3)\/(t\/t**5))) assuming t is positive.\nAnswer: t**(241\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 8 = 2*o, -5*v + v = -2*o + 26. Let a be 4 + v + (-7)\/(-3). Which is smaller: 1 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 - -3) + -33 + 38. Sort 4, -1, a, -3 in descending order.\nAnswer: a, 4, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 + -8. Put h, 7, -3 in decreasing order.\nAnswer: 7, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 + u + 4196. Let n be b(0). Suppose -2*a + n = 2*a. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 3 = -8 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of 3*s**2\/2 + 6*s + 759. Let h be (-18)\/(-3)*(9\/(-3))\/3. What is c(h)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/284265523 at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (18\/165)\/(8\/(-10)) and (-86)\/120 + (-2)\/6?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.5 (b) -94 (c) -934 (d) -29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 - s + 1. Let n(r) = -3*r**2 - r. Let f = 0 + -2. What is f*c(p) + n(p)?\nAnswer: -p**2 + p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 563091278\/567 + -993106. Let s = d - 2\/81. Let v(q) = q + 4. Let y be v(-6). Which is bigger: s or y?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by -134.\nAnswer: -4\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes after 11:54 PM?\nAnswer: 11:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 3*s = 186, -3*i - 4*s = -0*s - 279. Calculate the remainder when 4144\/34 - 0 - 48\/(-408) is divided by (-2)\/(-1 - (-87)\/i).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuvzkkkkkkvkuuvuyku. What is prob of sequence yk?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -11445301 (base 6) to base 16\nAnswer: -58e25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 416827 is divided by 329?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 30 + 110 = 17*d, -3*r = -d - 4 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 4. Suppose r*s + 110 = -5*s. Let v = s - -35. List the prime factors of v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + -1 + 12\/(-15)*38\/76. Let d be (-30)\/(-6) - (-2 - -6). Put 4\/7, d, x, -1\/2 in descending order.\nAnswer: d, 4\/7, x, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t + 5. Let z = 33 + -52. Let p = z + 29. Let q(h) = -1. Suppose -10*g = 22 - 42. Give g*f(n) + p*q(n).\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 73, 434, 1065, 1990, 3233, 4818, 6769?\n\"Answer: 4*k**3 + 111*k**2 - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1824548226?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-1\/2))\/c*c*c**(-3\/4)*c*(c**(-2\/5)\/c)**(1\/23))\/(c*c**(-1\/6)*c**(-6))**(-38) assuming c is positive.\nAnswer: c**(-269989\/1380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 4*l - 6 = 2*v, 0 = l + 2. Let q(k) = k**2 + 6*k + 4. Is 10 a factor of q(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*z**2 + 2*z**2 + 0*z**2)*(-4 + 1 + 1) + (-2*z**2 + z**2 - z**2)*(0 - 2 + 3) - 2*z**2 + 0*z**2 + 0*z**2.\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -680*u - 120. Determine v(2).\nAnswer: -1480","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2\/3 + 10931*w\/3 + 10934.\nAnswer: -(w - 10934)*(w + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, i: 5, y: 6, e: 1, a: 4}. Give prob of sequence iz.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -103 - -248. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -336, -337, -340, -345, -352?\n\"Answer: -q**2 + 2*q - 337","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - ((-4 - -1) + (0 - -2)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15\/(4*4\/16) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-462)\/5346)\/((-10)\/(-135)).\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10257 - 10258. Which is the nearest to -2? (a) 1 (b) 2 (c) x (d) -12\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 66\/(-60) - ((-4)\/(-5))\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9029 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/143 and 127\/78?\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 155648409.\nAnswer: 3, 7, 7411829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10256*u = 555 + 214760 + 359021 for u.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 20097 + -5?\nAnswer: 20092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 36448*b**2 + 36450*b**2 - 2 - 72892*b**2 + 1 + 4*b**3 - 2*b. Let w(h) = 4*h**3 + 7*h**2 - 3*h - 1. Determine -4*l(n) + 3*w(n).\nAnswer: -4*n**3 - 3*n**2 - n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 9702?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.8, -0.019, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 12:07 PM?\nAnswer: 7:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-29) + 61663\/(-28014).\nAnswer: -13\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 29221356 - 29221344.00000116. Let l = c + -12. Round l to seven decimal places.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -2*z**2\/5 + 120741288*z\/5 - 1822307328487368\/5 = 0.\nAnswer: 30185322","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the third derivative of c**6\/60 - c**4\/3 - 28*c**2. Find the second derivative of u(q) wrt q.\nAnswer: 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-12)*(-72)\/840.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 724945936 to the nearest integer?\nAnswer: 898","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the third derivative of -j**6\/80 + j**5\/10 - 5*j**4\/16 + j**3\/2 + 3*j**2. Factor f(u).\nAnswer: -3*(u - 2)*(u - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - ((23 - 45) + (3 - 5) + 2).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ojzpopc. Give prob of picking 1 p, 1 c, and 1 j.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0025885179 to four dps.\nAnswer: 0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11714.05 + 11714. Which is the second biggest value? (a) t (b) -1\/8 (c) 3\/5 (d) 42\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 623 - 250. Suppose 0 = -3*v - t - t + p, -3*v + 389 = -2*t. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 886 - -1.6.\nAnswer: 887.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -12 (b) -0.3 (c) 0.5 (d) 1.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/((-19*(-37)\/703)\/((-1)\/2))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1146898.\nAnswer: 2, 109, 5261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.4, -710, 0.01?\nAnswer: -710","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1701*y + 980*y + 949*y = -15732 for y.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3447 is divided by 231.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from llsppsssyp.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 64241\/4 + -16563. Which is greater: x or -502?\nAnswer: -502","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 - 6. Let k = -907 + 905. Sort 0.37, k, l in increasing order.\nAnswer: k, 0.37, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 278 a factor of 67893438?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.998 + 6. Let w = 1.542 - o. What is w rounded to 1 dp?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10875*h**3 - 5443*h**3 - 5442*h**3 + 34*h in the form q*h**3 + p*h + s*h**2 + j and give p.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from qhhhzhhfhzzzzzh.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*m**2 - 99*m**2 + 143*m**2 + 12 + 10*m**2.\nAnswer: m**2 + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -12*4\/80*2\/3. Put -3, 23, 5, a, -1\/4 in increasing order.\nAnswer: -3, a, -1\/4, 5, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + 1 + sqrt(2448))*-2)**2*6 + 4.\nAnswer: 3456*sqrt(17) + 59620","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -5 - 3*g**2 + 3*g**2 - 3*g**2 - 2 - g. Let j(s) = 3 + 4 + 2 + 2*s**2 - 5. Let u(w) = 5*j(w) + 3*o(w). Determine u(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2, -6\/8801, 1\/8?\nAnswer: -6\/8801","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 - 1 - -2*9. Suppose z + z = y. Let l(j) = -j**3 + 7*j**2 + 8*j + 6. What is the units digit of l(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -6 - 4*(-2)\/2 - -5. Solve -t = -o*t - 3*b + 20, -t + 24 = 5*b for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 9:59 PM?\nAnswer: 1:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.995 + 5.295. What is the nearest to -2 in g, -3\/5, -2\/7?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (-6 - 2) + 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 - 2*(-2965)\/10. Let y = -366 + c. What are the prime factors of y?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15 + 683*k**2 + 68 - 53 - 552*k**3 - 1539*k**3 wrt k?\nAnswer: -12546","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1064470 rounded to the nearest 10000?\nAnswer: 1060000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 4*u - 10. Let w(l) = 3 - 3 + 3 + l - 4. What is r(d) - 3*w(d)?\nAnswer: d - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/3 of a decade?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 2372307\/110 = 21565?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7*d*l**3*o*w + 6*d*l**3*o - 5*l**3 - 8*l*w + 2*o*w wrt d?\nAnswer: 7*l**3*o*w + 6*l**3*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/15579564 and -49\/9204.\nAnswer: 919194276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 3 = 3*o. Suppose r + 4 = -a + 3*r, -5*r = 2*a - 37. Let f(k) = -k**2 + 6*k + 7. Let b be f(7). Solve o*h = -b*h + a for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 AM and 5:18 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 27 = -0*l. What is the least common multiple of 5 and l?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.05, -0.6, 217, -251 in descending order.\nAnswer: 217, -0.05, -0.6, -251","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 2)*(-2 - 3*j + 2) - 2*j - 5*j + 5*j + 18*j + 36*j + 336*j + 280*j.\nAnswer: 671*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123*d = -130*d + 14. Suppose d*s = -6, 15*s + 5637 = 5*p + 16*s. What are the prime factors of p?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -162427*h**4\/4 + 2436407*h**3\/4 + 19653637*h**2\/4 + 17054593*h\/4 - 105\/2 = 0.\nAnswer: -5, -1, 2\/162427, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 220 and 100?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 740 + 138. Calculate the remainder when g is divided by 221.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 94*k**5*m**2*o + 2*k**5*o - k*m**2*o + k*m**2 + 15*k*m wrt k.\nAnswer: 1880*k**3*m**2*o + 40*k**3*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -45 - (-54 + -1 - 104)?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -101*j**4 + 29*j - 31612?\nAnswer: -404*j**3 + 29","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5058761465 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 - z**2 - 8. What is g(3)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(((sqrt(208) + 0)*-3 - (3*(sqrt(1872) + -1) - -3*(0 + sqrt(1872)))) + 3)**2.\nAnswer: -367056 + 4032*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2522145 is divided by 11516?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 5*k + 2*b - 6*b, -16 = k - 4*b. Solve -v + 4*i = -2, k = -4*v - 3*i + 13 - 5 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 11, c: 1, h: 7}. Give prob of picking 2 h.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -356\/3301 + -115723\/2079630. Find the common denominator of g and -1\/22.\nAnswer: 6930","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 t when three letters picked without replacement from naxtnxn.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 - 10. Let t(o) = 2*o**2 - 10. Let p(c) = 2*t(c) - 3*x(c). Let i(h) = 2*h**2 + 11. Let r(m) = 2*i(m) - 3*p(m). Determine r(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 305204 + 1\nAnswer: 305205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -1. Let p(j) = -j + 19. Determine 4*d(n) + p(n).\nAnswer: -n + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -306 - -362.49. What is k rounded to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -47.07 - -0.07. Let t = z - -25. Let v = -21.9 - t. What is the smallest value in 5, -2, v?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 2*j - 10 = 0, 3*j - 5 = m + 2*j. Let d be 50\/20*(-2 - -4). Suppose -t + 30 = -d*c, 4*t + c - 23 = 34. Solve -3*y = -m*y - t for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 - 4*g**2 - g. Let r be m(4). Let v(j) = -10*j + 3. Let c(z) = -5*z + 2. Let t(y) = -7*c(y) + 3*v(y). Let l(s) = 11*s - 11. Give r*l(i) + 9*t(i).\nAnswer: i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3\/5 - 1257*n**2\/5 - 1003*n - 3759\/5.\nAnswer: -(n + 1)*(n + 3)*(n + 1253)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 8\/12 + (-264)\/(-9)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1006220875 to the power of 1\/3, to the nearest integer?\nAnswer: 1002","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(65)*3)\/sqrt(5) + -1 + ((sqrt(13) + 1)*5 - (sqrt(13)*3 - sqrt(13))**2*1).\nAnswer: -52 + 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 130 + 2*u + 2*u + 111*u**2 + 86*u**2 + u - 4*u wrt u?\nAnswer: 394","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 112\/120*(-18)\/(-12)\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 185 a factor of 335358?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n. Let t(p) be the first derivative of p**2\/2 + 5. Determine t(i(h)).\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10001011001 (base 2) to base 12.\nAnswer: 789","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6*(-6)\/81)\/(4\/(-6)). Let j(w) be the first derivative of -3 + 0*w + 0*w**2 + t*w**3. Let g(z) = 7*z**2. Give g(j(b)).\nAnswer: 28*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26636 - 8*i + 20621 + 3462 + 2*i.\nAnswer: -6*i + 50719","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3281 + 42*d - 39*d - 997)*(-2*d**4 + 5*d**4 + d**4).\nAnswer: 12*d**5 + 9136*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -445*w + 2 + 0*w**2 + 0*w**2 - 9*w**3 + 454*w as x*w**2 + n + v*w + y*w**3 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 3*g**2 + 17*g + 84. Does 10 divide n(14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x - 58. What is y(36)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 105138798 and 3?\nAnswer: 105138798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 + 2*u - 2. Calculate the remainder when (-1 + 20)\/((-2)\/(-4)) is divided by o(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 535139483 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - -12. Suppose 3*i = v - 2. Factor -8*x**3 - 6*x**2 - 2*x**3 - x**5 - 5*x**4 - 5*x - 1 - 4*x**i.\nAnswer: -(x + 1)**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of 21*c**4\/4 + 625*c**3 + 267*c**2 + 1147. Factor z(g).\nAnswer: 3*g*(g + 89)*(7*g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 6*d - 38 = 0, -3080*o + 3084*o - d = 3 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -602130 (base 8) to base 11\nAnswer: -125606","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 549724*r**2*y**2 + r**2 - 13*r*y - r + 3*y**2 - 696 wrt y?\nAnswer: 1099448*r**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:21 PM and 8:05 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12807)\/(-9961)*7\/((-105)\/(-2)).\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Is 138 a factor of 54426510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 568 = -2324. Which is the nearest to 3? (a) g (b) 0 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t**(-2\/9)*t)*t\/t**(-2)*((((t*t**(-1\/3))\/t)\/t*t)\/t)**(5\/21))**4 assuming t is positive.\nAnswer: t**(244\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(56)\/(6*((sqrt(8) - sqrt(128)) + sqrt(8))).\nAnswer: -sqrt(7)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in six fifths of a tonne?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33\/9*(8\/44)\/2.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3551.\nAnswer: 53, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t - 2*u - 2*u + 160, 0 = -t + 5*u + 3. Let p be ((-120)\/t)\/((-2)\/(-32200)). Round p to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -406.95 + 407. What is the closest to 1 in o, 0, 5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -889 + 321*q + 445 + 444 to the form t*q + n and give t.\nAnswer: 321","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25.543046 + -25.58. Round j to four dps.\nAnswer: -0.037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.13163 in 3\/4, 3, -1, -9\/5, -0.1, -0.05?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c*c**(-3)*c))\/(c**4*c))**16 assuming c is positive.\nAnswer: c**(-48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 752.586 - 943.5\nAnswer: -190.914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o - 2 = -11*o. 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 value of (-3 - 2) + -15 + 16?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + y - 4, 4*p + 12 = -y + 4*y. Let i be ((-2)\/3*3)\/2. Let u be (-9 + 1)\/(-2) - i. Sort -4, u, p in descending order.\nAnswer: u, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - -4. Let u be z\/(-4)*152\/95. Suppose 8\/5*p**2 - u + 6\/5*p = 0. Calculate p.\nAnswer: -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7052461 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.1038413 and -269905907.\nAnswer: -269905906.8961587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 15 or -6?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 315 and 51170.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12869 = -3*y + 5*v, -3*y = y + 3*v - 17149. Let g = -629 + y. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -727 or -711?\nAnswer: -727","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 804 + -164. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d + 1. Let y(s) = -4*s**2 + 33*s - 79. Let m be y(5). Suppose -5*q = -4*v + 120, -3*q = 3*v - 4 + 49. Let b = q - m. Calculate k(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*x**2 - 5*x + x + 4 + 3*x - x + 0*x**2 - x**4 - 2*x**3 in the form g*x**2 + w*x**4 + r*x + y*x**3 + n and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -579 + 599. Sort 0, -3, t, -4.\nAnswer: -4, -3, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 AM and 4:37 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 2*o**2 + 7*o - 9. What is the units digit of j(-15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5*(-1)\/(-10)*4. Suppose 2*f - 22 = r*t - 6, 0 = 3*f + 4*t - 3. Solve f*l = 4*l - 3 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 0*w + 6 - 35*w**2 + 2*w + 3*w**3 + 36*w**2 - w**4 to the form s*w**3 + a*w + z*w**2 + o*w**4 + v and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h + 21. Calculate the lowest common multiple of y(-7) and 24.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 659?\nAnswer: 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-18)\/(-567)*633 - (-4)\/(-42). Let j be (-2 + -3)\/(y\/(-44)). Solve 3*u + 10*a - 5*a - j = 0, -3*u = 4*a - 7 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 95 and 20.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 23 = -3*f, -3*f + 0 + 18 = 3*k. Let r(v) = v. Let g(s) = -3*s - 2. Calculate f*g(p) - 2*r(p).\nAnswer: -5*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -47, 0, 3, 2, -3, -11449.\nAnswer: -11449, -47, -3, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 3)*(4*v - 2*v + 2*v) + v + 9*v - 4*v + 3*v - 4*v - v + (0 - 1 + 2)*(-2*v + 3*v - 3*v).\nAnswer: -14*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**3 + 1041*m**2 - 89784*m - 90828.\nAnswer: -3*(m - 174)**2*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -m**3 - 175469*m**2*u + 60*m + 1508*u wrt m?\nAnswer: -6*m - 350938*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-237)\/306 + (-20)\/340)\/(-5)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(1\/3))**(-2\/59))**(-4\/21) assuming i is positive.\nAnswer: i**(16\/3717)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 645 and 774.\nAnswer: 3870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*d**2 - 19*d**2 - 12*d**2)*((0 - 3 + 2)*(-2 - 1 + 5) + 2 + 1 + 1).\nAnswer: -46*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of 5*m**4\/6 - m. Let j(w) = 4*w**2 - w**2 + 4*w**2 - 5*w**2. Determine y(j(z)).\nAnswer: 40*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32975 = -2*a + 22*a - 42545. Calculate the greatest common factor of 1180 and a.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10222012010210020 - 0?\nAnswer: -10222012010210020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2*u**2 + u + 0*u**2 - 2 + 0*u. Let t be m(-2). Let f be 4\/(-3)*18\/t. Solve 0 = f*w - 0 + 4 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 47 + -47.208. Let r = -5.148 - u. Let s = 0.06 - r. Which is the biggest value? (a) 0.2 (b) 0.1 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5246.9 rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 + 4. Let b be 6 + (-177)\/(-21) + 3\/(-7). Let r(s) = -s + 5 + 2 - b + 3. Determine r(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -6515128, 4 in ascending order.\nAnswer: -6515128, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 177 - 70. What are the prime factors of d?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 11*l**2 + 43*l**3 + 15*l**2 + 95*l + 62*l**3 - 221*l**2 - 5*l**4 = 0.\nAnswer: 0, 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 373595286 to the power of 1\/4, to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (6\/4)\/((-27)\/(-3))\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -27, -24, -19, -12, -3, 8, 21?\n\"Answer: p**2 - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -85\/2 - -42. What is the nearest to 6 in 2, -1\/9, r?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29*h - 5*h - 4*h - h**3 + 1)*(491 - 261 + 468).\nAnswer: -698*h**3 - 26524*h + 698","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 9*x = 181, 0 = -5*g - 16*x + 20*x + 1101. Calculate the lowest common multiple of g and 770.\nAnswer: 23870","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - -3. Let f = 930 - 928. Solve -3*r + 1 = n, -3*r = j*n - f*n + 1 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2 - 3. Let c(b) = -2449*b**3 - 93*b**2 - 279. Determine c(l) - 93*m(l).\nAnswer: -2449*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2677682049?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 246*2\/(-1656) + ((-7)\/105)\/((-10)\/25)\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 318814033?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2276783 millennia to centuries.\nAnswer: 2.276783","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h + v - 120 = 2*h, 0 = -3*h + 3*v + 105. Let a = 45 - h. Suppose 0 = -3*s + g + 82 + a, 2*s + 5*g = 81. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3165133 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -130331211003 + -213?\nAnswer: -130331211222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 666?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 504769.2um?\nAnswer: 0.5047692","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 3\/5*r**2 + 2\/5 = 0 for r.\nAnswer: -2, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 205\/1*(8 - 2 - 2233\/385)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -108 + 114. What is the hundreds digit of (z - 486\/45)*(-340)\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 2*q**2 - 100*q - 1573. Give c(-14).\nAnswer: 219","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of 0*m**2 + 3*m - 1\/3*m**4 - 1\/3*m**3 - 1\/10*m**5 + 0. Factor h(o).\nAnswer: -2*o*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42 + -23 + 25 + -49\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2817315 and 4428?\nAnswer: 1107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70343*w**3 - 70212*w**3 - 4*w + 4*w.\nAnswer: 131*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21 is divided by 404\/34 + (-17)\/((-6936)\/48).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*x = 1815 + 3345. Let f be 6\/8*80\/x. What is the nearest to -16 in 1, -4, -1, f?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 507550.4 centimeters in nanometers?\nAnswer: 5075504000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25\/436 - 7529\/24852. Let x = -3\/38 - z. Let g = 5.3406 - 1.3406. Which is the closest to 0.1? (a) g (b) x (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 - -2 - (-3 - -8). Let x be g + 0 + 1 + 8. Factor 4*d**2 - 6*d**x + 44*d**4 - 16*d**4 - 20*d**3 - 6*d**5.\nAnswer: -4*d**2*(d - 1)**2*(3*d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6346475?\nAnswer: 5, 19, 31, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 20702 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4456713?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 1081*m - 1084*m + 12 = 0, 4*i - 28 = m for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81940 is divided by 40041.\nAnswer: 1858","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 103 - 3011?\nAnswer: -2302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 14, 26, 64, 146, 290, 514, 836, 1274?\n\"Answer: 3*p**3 - 5*p**2 + 6*p + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 54.25393 - -0.46407. What is g rounded to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8d024 (base 14) to base 4.\nAnswer: 1103233320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 365 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the third derivative of -8*d**3 + 0 - 11\/15*d**5 + 0*d + 1\/60*d**6 + 99*d**2 - 47\/12*d**4. Find k such that r(k) = 0.\nAnswer: -1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -20.9 (b) -2\/7 (c) -5 (d) 1\/4 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of j**3*v**2 - 1462254*j**3*v + 3575*j**2*v**2 - 4*j*v**2 + 3*v**2 wrt v?\nAnswer: 2*j**3 + 7150*j**2 - 8*j + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 2*l - 5. Let g = 121870 + -121869.91. What is the closest to -0.3 in l, -4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7788 divided by -44?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 32 = 3*d - 73, -3*d + 3*f + 33 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - -1001000?\nAnswer: 1001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38 - 300*n + 462*n - 190*n.\nAnswer: -28*n - 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 72 = -0*k + k, 138 = 4*c + k. Suppose -11*m - 2 + c = 0. Factor -10\/7*a - 8\/7*a**2 - 4\/7 - 2\/7*a**m.\nAnswer: -2*(a + 1)**2*(a + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uzr when three letters picked without replacement from {z: 3, r: 6, u: 5, j: 3}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 784972265 divided by -19145665?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 157\/(3\/(-45)*-3). Suppose q + 10 = -q, y - 3*q = 20. Suppose 7 = -y*n + 27, 5*n = 5*x - p. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 346719 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 2*a**2 - 3*a + 1. Let n be r(4). Let q = 24 - n. Suppose -6 = -z - q. Is z a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -417, 41, 0, 5 in descending order.\nAnswer: 41, 5, 0, -417","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 79*o**2. Let c(f) = -12*f. What is c(h(i))?\nAnswer: -948*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + 3\/2)\/((-3)\/12).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*v**3 + 255*v**2 + 5*v**3 + 16*v**2.\nAnswer: 2*v**3 + 271*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 + -18. Let w(k) = k**3 + 11*k**2 - 9*k - 5. What is the tens digit of w(x)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1 (b) -21 (c) -2 (d) 7 (e) -2\/1607\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 14 = 5*o. Let t be 4\/10 + (-12)\/30. Suppose -6 = 3*k, t = o*l + k + 33 - 111. Calculate the remainder when l is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 6:42 AM?\nAnswer: 10:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 576172743?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -993638*k*y**2*z - 9*k*y*z**3 + 46*y**2*z**3 + 4350*y**2*z + 8*y**2 + y*z**3 wrt k.\nAnswer: -993638*y**2*z - 9*y*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -57 + 61. Let l(o) = 4*o**2 + 7*o - 15. What is the units digit of l(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*1\/3*15. Solve -t + 5*u = -2*t + 5, -o*u - 5 = -t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from {h: 2, k: 1, t: 5, p: 1}.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -488 + 2491. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 - 74 = -5*m + 4*x, 4*m = x + 37. Let g be (-4)\/((-60)\/m) + 73040\/100. Calculate the greatest common divisor of 17 and g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a minute in milliseconds?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 2*d**2 + 16*d + 9. Let z be w(-14). Let k = 307 - z. Does 10 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 118843?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, s: 1}. What is prob of picking 2 b?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-7) - 1600\/(-14). Let d be 2\/(-4) + r\/12. What is the highest common divisor of d and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -5*n - 37, 0*h + 4*n = 2*h - 14. Let u = -193 - -198. Which is the nearest to 2\/3? (a) h (b) 0 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -1 + -3 + 4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 151 divide 3034949?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 - 2745*z - 601605. Give i(-204).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12649 - -9959. What is n rounded to the nearest one hundred?\nAnswer: -2700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18488370 and 64148?\nAnswer: 258837180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(49) + sqrt(343)\/sqrt(63) + sqrt(49) + sqrt(784)*-2)*-6)\/((sqrt(315)\/sqrt(45))\/(5*sqrt(18)\/sqrt(2))).\nAnswer: 510*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 4*j + 2. Let k(v) = -1. Let h = -6 - -5. Let x be -2*(2\/4)\/h. Let c(p) = x*g(p) - k(p). Determine c(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/(w\/w**(-6\/13))))\/w)**(-29\/3) assuming w is positive.\nAnswer: w**(-58\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2401*l + 13 - 2401*l + 96*l**3 - 99*l**3.\nAnswer: -3*l**3 + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 107, -83, 7.\nAnswer: -83, 7, 107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) - (3 + sqrt(76))**2) + -3 + 5 + sqrt(76) + 5.\nAnswer: -78 - 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18 - 43 + 11)*(-34*r**3 + 69 + 60 - 129 + 4*r).\nAnswer: 1700*r**3 - 200*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11\/112 + -145\/336. What is the nearest to 0 in 2\/9, 0.19, h, 1?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.009250318 rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16 and 68?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 2*h**2 + 27*h + 4. Let a be l(-13). Calculate the remainder when 3 is divided by (-3 + (-21)\/a)*12\/(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 3*n - 6 = 0, -11*z = 79*n - 85*n + 39 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a microsecond in nanoseconds?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2\/7 + 51*x\/7 + 92.\nAnswer: (x + 23)*(x + 28)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26045664 divided by -22376.\nAnswer: 1164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1172*b + 1403*b - 107*b - 116*b.\nAnswer: 8*b","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 3*c + 42 + 23 = 0, -5*s - 3*c - 65 = 0. Let o = -7 - s. Does 7 divide (-6)\/4*(-104)\/o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 4 + 2 - 4*i**2 - 2.\nAnswer: -4*i**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(128) + (sqrt(128) + 0 - sqrt(128)) + -5 - ((sqrt(128) + 0)**2 + 3) - ((-6*sqrt(128)*2)**2 + -4).\nAnswer: -18564 + 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 29\/5 of a litre?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20422822 divided by -2917546.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -14*t**3 + t**2 + t - 2. Let i be s(-2). Let m(p) = -5*p - 96. Let v be m(-22). Calculate the greatest common factor of i and v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 0*m = -27. Solve -2*q - q + m = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4086004 - 535459 - 2*b**2 - 2342449 + 7464*b.\nAnswer: -2*(b - 1866)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (b - 5*b + b)*(-18 - 18 + 19)*(-13 + 122 + 28) in the form q + i*b and give i.\nAnswer: 6987","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, z: 1, a: 6, e: 2, w: 3}. Give prob of sequence wawu.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(96) + sqrt(96)*-2 + sqrt(96) - sqrt(96)))\/sqrt(6))\/(sqrt(72)\/(sqrt(9) + (sqrt(36)*2)\/sqrt(4))).\nAnswer: -3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 156030041 is divided by 733.\nAnswer: 729","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 q when three letters picked without replacement from wqwezezwwezw?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 7 times -0.01\nAnswer: -0.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 16945259?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 1312059*a**3 - 21672*a - 7224. Let i(n) = 908*n**3 - 15*n - 5. Give 7224*i(y) - 5*z(y).\nAnswer: -903*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 44003821 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2\/5, 1\/5, 3, 11\/5 in ascending order.\nAnswer: -4, -2\/5, 1\/5, 11\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -14770 and 1256.2?\nAnswer: -18554074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 47, 227, 509, 887, 1355, 1907, 2537, 3239?\nAnswer: 4007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1841*q - 434*q + 382*q + 720*q - 1786*q.\nAnswer: -2959*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, 13, 9, -2 in ascending order.\nAnswer: -5, -2, 5, 9, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6426595 centimeters to meters.\nAnswer: 0.006426595","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes before 3:08 AM?\nAnswer: 7:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 + -8. Let h = -95 - -87. Calculate the remainder when (p + h)\/((-3)\/40) is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/30)\/(378\/(-105))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z - z + 5*z)*(0 + 0 + 2*z) - z**2 + 3*z**2 - z**2 - 3*z**2 - 2*z**2 + 4*z**2 + (-z**2 + 2*z - 2*z)*(3 + 1 - 2) + 1 - 1 - z**2.\nAnswer: 7*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 0 - 1)*(-2*f + 2*f - 2*f) + 5*f - 4*f + f - 3 + 3 - 2*f)*(-4414*f + 1 + 28192*f + 30127*f + 0).\nAnswer: 107810*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - 2*c + 378. Suppose g = -2*g + c. Let d(w) = -2*w + 11. Let q be d(3). Solve -5*t + 31 = 2*o, 2*o = q*t - g + 2 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -568, -577, -598, -637, -700?\nAnswer: -793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -4*z - 6, 0 = 2*t + 5*z + 11. Suppose 0 = -x - t + 9. What is the biggest value in x, -0.1, -0.01?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 2*b - 2918. Let l(x) = 44*x. Determine l(s(k)).\nAnswer: 88*k - 128392","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22 + 25. Let l(h) = 4*h - 9. Let c be l(i). Solve -c = -2*u + 3 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16\/5 + 59\/20. Let q = -216977\/7 + 31141. Let d = 144 - q. What is the nearest to d in -0.1, n, 0.1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 3*f - 1. Let b(w) = -5*w + 2. Let q(i) = -b(i) - 2*p(i). Suppose -13 = -d + 5*l + 2, -2*l = -d + 3. Let o(x) = 3*x**2 - 6*x. Give d*q(s) + o(s).\nAnswer: 3*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14710*p + 328*p**2 - 14710*p)*(1 + 3*p - 1 + 3*p - 4 + 4 + (-2 + 3 + 1)*(p + 3*p - 2*p)).\nAnswer: 3280*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -765356, -1530699, -2296042, -3061385, -3826728?\n\"Answer: -765343*j - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/208*(-6)\/18*3?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50900799 is divided by 63.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 4*f**3 + 2*f**2 + f - 6. Let a be m(-3). Let y be ((-8)\/12)\/(6\/a). Solve d = -5*r + 3*d - y, -4*r + d = 7 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 26 - (-33 - -40) - (11 + -20)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**2\/5 - 3136*i\/5 - 21756\/5.\nAnswer: -4*(i + 7)*(i + 777)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.1 and -2035.\nAnswer: -2034.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 4*k - 25 = -39, 5*c = 3*k + 33. List the prime factors of 405\/c*12\/9.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 m when two letters picked without replacement from mkmkmmmkmmmmmmkmkm.\nAnswer: 65\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2*y)*(-15*y + 15*y + 29*y**2) + (7*y**2 - 8*y**2 + 57*y**2)*(0 + 2*y + 0).\nAnswer: 170*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 1603*i**3 - 5*i**2 + 10*i + 1026. Let u(m) = -800*m**3 + 2*m**2 - 4*m - 513. Let t(k) = 5*u(k) + 2*y(k). What is the first derivative of t(x) wrt x?\nAnswer: -2382*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*c = 80*c + 5 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 160754.\nAnswer: 2, 11, 7307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 218 + 21*w - 2*w - 91 - 83 + 20*w**2. Calculate the remainder when z(-2) is divided by 45.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**6)**20*(d**(1\/7)*d)\/d*d\/d**8*d assuming d is positive.\nAnswer: d**(799\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 - 8*v**2 - 6*v + 9. Let t be o(-7). Let z(r) = 3*r**3 + 4*r**2 - 2*r**3 - 2*r**2 - 4*r**t. Determine z(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f - 2*f - 2*f)*(-1152*f**2 - 1150*f**2 + 2302*f**2 + 561*f**3).\nAnswer: -1122*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -75*s**3 - 8*s**2 - 2. Let d(p) = p**3 + 2*p**2 + 1. Let y(o) = 2*d(o) + v(o). What is the third derivative of y(l) wrt l?\nAnswer: -438","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19 + 23. Solve 0 = -j*p + p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q + 5. Let p(v) = -8*v + 14. Let c be p(-16). Let s = c + -136. What is the lowest common multiple of s and y(6)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*c - 61 = -3*o - 413 + 19, 0 = 2*o - 2*c + 112 for o.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 8, e: 2, j: 2, n: 4, b: 3, m: 1}. What is prob of sequence jj?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 152759?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5353, 5315, 5277?\nAnswer: 5239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 - 6*a**2 - 10*a + 1. Let m be k(-3). Suppose 0 = b - n - 435, -b = 2*n - m*n - 438. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -783*j**4 - 7*j**3 - 4*j**2 + 7633. Let r(z) = 1567*z**4 + 13*z**3 + 7*z**2 - 15267. Let s(u) = -7*l(u) - 4*r(u). Differentiate s(n) wrt n.\nAnswer: -3148*n**3 - 9*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13932 and 34830.\nAnswer: 69660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 2\/87, -0.5?\nAnswer: 2\/87","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1058?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 37*g + 1461. What is h(-39)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 44\/(-242) - ((-395)\/55 - -2). Solve -18*s + 20*s = -3*p + 5, r*s - 16 = -4*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 878 + -4386\/5. What is the third biggest value in 0.4, 0.2, 42.3, f?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -64, -77, -98, -133, -188, -269, -382, -533?\nAnswer: -728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.4 and -56.3.\nAnswer: -55.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30.02487 years to months.\nAnswer: 360.29844","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -15 - (107 + -76 - 6)\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1363266859 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 657676.6 weeks in seconds?\nAnswer: 397762807680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of 2*x**2 + 1\/40*x**6 + 0*x**5 - 1\/2*x**3 + 0 + 0*x**4 + 0*x. What is the derivative of p(f) wrt f?\nAnswer: 9*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = -5*o + 5, -n + 3*o = 4*o + 1070 - 1075 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12, -25, -38, -51?\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.02288 and -0.2?\nAnswer: -0.004576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 8287 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 861424 and 3298.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12, 18, 20, 18?\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 3*j - 4*q = 10, 4*q = -4*j. Suppose -15 = -2*o + j*o. Let k = -1 - o. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2*(-2 + -1) + -4. Suppose s*r - r + 2 = 5*l, -3*l + 2 = -r. Let t be (-64)\/34 + r\/17. Which is the nearest to -1? (a) -1\/11 (b) t (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/1 - (-3360)\/(-33). Let y = 105 + i. Suppose b - 4*q = -4*b - 7, 3*q = 9. What is the biggest value in 5\/2, b, y?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1567, 1576, 1599, 1642, 1711, 1812, 1951?\nAnswer: 2134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 134.125 - 134. What is o rounded to one decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the third derivative of -q**5\/60 + 25*q**4\/24 - 23*q**3\/6 - 19*q**2. What are the prime factors of r(21)?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9033087\/27988 - 10\/6997. Let u = z + 322. Which is the closest to 0.3? (a) -3 (b) u (c) -1.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (630\/(-36))\/((-966)\/3036)\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - 2. Suppose -2*z = -7 - l. Suppose -18 = -z*i + 2*o + 2, -16 = -4*i - 4*o. What is the remainder when 11 is divided by i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.199 - -5.399. What is the nearest to 6 in o, -3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108212099 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 76922015 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 5*c**3 + 2*c**2 - 3*c + 2. Let t(h) = 11*h**3 + 3*h**2 - 6*h + 5. Let w(s) = 9*q(s) - 4*t(s). Give w(-6).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 710 and 65?\nAnswer: 9230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3\/26)\/((-6)\/16). Let w = -155\/91 - -13\/7. Let u = h + w. Which is the third biggest value? (a) -0.3 (b) u (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -y + 248. Suppose -j + 4*j - 12 = 0, y = 4*k - 4*j. Is k a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, 6, 2 in increasing order.\nAnswer: -5, 0, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -38 + 46. Which is greater: j or 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 e when three letters picked without replacement from rrejererreje?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 a factor of 45552\/48 + -3 + -1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 10 - 2. Let r(h) = -h + 3. Let t be r(o). Which is the nearest to t? (a) 0.3 (b) -4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (7\/(-14)*4)\/(2\/(-24)). Suppose -s*t + 105 = -17*t. Calculate the remainder when t is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 4*p + 16 = 0, -2*k + 3*p = 7 + 5. Let o be 2 - k - 3 - -53. Suppose 0 = 3*n - 248 - o. Calculate the highest common factor of 40 and n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 812616, 812615, 812614, 812613?\n\"Answer: -g + 812617","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6564749 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-54)\/13)\/(27594\/597870)\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 54 and 1000\/19 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.0585 + 0.1585. Is x >= 218?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -31 - -31.915. Round c to one dp.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-51)\/(-6)*(6 + 0). Suppose 2*k - 11 + p = 0. Let v = -12 - k. Are v and 9 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.5 (b) -0.5 (c) 31\/3 (d) -2\/5 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -36*k + 4*k + 22080. Let n = 694 - k. Solve 2*p - 2*u = -2, n + 0 = -4*u for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q**(-1\/3)*q)*q**0)**(3\/17) assuming q is positive.\nAnswer: q**(1\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 391a6 (base 12) in base 5?\nAnswer: 4444110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81*t**3 - 6 + 6 - 395*t**3.\nAnswer: -314*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 564048643?\nAnswer: 421, 677, 1979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 7:33 AM?\nAnswer: 12:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 3, 82, -2, 5 in increasing order.\nAnswer: -2, 3, 5, 11, 82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(8\/52) + 4. Sort -2, q, -1\/5 in decreasing order.\nAnswer: -1\/5, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -31684, -31678, -31672, -31666, -31660?\n\"Answer: 6*g - 31690","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 671, 2352, 5021, 8666, 13275, 18836, 25337, 32766?\nAnswer: 41111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.32 + -0.38. Let n = -0.057 + k. Round n to 2 decimal places.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*f + 3428 = -4300. Suppose -f*p + 258 = -546*p. What is the highest common factor of p and 129?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 9\/125, -29 in increasing order.\nAnswer: -29, 9\/125, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/1934839 and -76\/1959?\nAnswer: 5804517","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -127bd + 3?\nAnswer: -127ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1344288525 to the power of 1\/3, to the nearest integer?\nAnswer: 1104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 + -28. What is the units digit of 3\/(-9)*w + 2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 45777 (base 8) to base 3\nAnswer: 222200120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 305, 2 in increasing order.\nAnswer: 2, 4, 305","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -41607536 divided by 1\nAnswer: -41607536","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 866 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(1008) + 0 + sqrt(1008))*3 + sqrt(1008) + 1 + 4 + 0))**2.\nAnswer: 7560*sqrt(7) + 444753","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 961927.9 to the nearest 100.\nAnswer: 961900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68 = -22*p + 112 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1122.\nAnswer: 2, 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 3*w**3 - 411*w**2 + 813*w - 405 = 0.\nAnswer: 1, 135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1176739*u + 10 - 588368*u - 588369*u + 83.\nAnswer: 2*u + 93","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9232?\nAnswer: 2, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2386 (base 9) in base 3?\nAnswer: 2102220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 470*x**4 - 915*x**3 + 420*x**2 + 25*x = 0. Calculate x.\nAnswer: -5\/94, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -103154*r*u - 14124*r + u**3 + 3 wrt u.\nAnswer: -103154*r + 3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 261579 and 12087.\nAnswer: 61994223","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 3 + 4)*(-59 - 6*i + 59) in the form f + z*i and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2303320131 + 1002?\nAnswer: 2303321133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14.94 - -15.02. Sort u, 10, 4 in decreasing order.\nAnswer: 10, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -95 - -2093?\nAnswer: 1998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m**3 - 7*m**2 + 6*m. Let z be d(4). Let h = 20 - z. Let l = h + 39. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5223?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -32 + 28 - 66*(-4)\/(-24) - 33?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i - 7. Suppose -2*p - 9 = 2*j + p, -3*j = -3*p + 36. Let o be n(j). Let y(b) = 10*b + 3 - o - 1. Let r(l) = l. What is r(y(t))?\nAnswer: 10*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*f**2 + f**2 + f**2 - 11*f**2 to q*f + b*f**2 + x and give b.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 209.4 + -152. Round y to zero decimal places.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24 + -18. Let x(q) = 9*q**2 - 1. What is the remainder when x(2) is divided by y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.31036 to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5589 (base 10) to base 2.\nAnswer: -1010111010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -76, -161, -244, -325, -404, -481, -556?\n\"Answer: r**2 - 88*r + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*x = -196 - 128. Solve -8*w = x + 20 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17596 - 73071 = 1277*f for f.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.7 in -12, 1\/67, -0.09, 0.5, 2\/7?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 78.28 + -78. Round d to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 37760 divided by 590\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 15, -7 in increasing order.\nAnswer: -7, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3731365 to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000638903 to five decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 47*c**2 + 42*c**2 - 1362 - 784 - 94*c**2 - 2*c**3 wrt c?\nAnswer: -6*c**2 - 10*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-76*x + 71*x + 2 + 0)*(-3*x - x - 2*x) - 2*x**2 - x**2 + x**2 to o + y*x**2 + f*x and give f.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by 98574723.\nAnswer: -2\/32858241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of -849*o**2 + 2569*o + 2304. What is the first derivative of d(q) wrt q?\nAnswer: -1698","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 6*m - 587 = -g, -m = -2*g - 158. What is the remainder when m is divided by 53?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2221980941 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 + 3*f**2 + 2*f + 1. What is u(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 6*q - 72. Calculate the remainder when 140 is divided by t(16).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -113 - -115. Let z be 6\/(-14) + (-375)\/(-42) + -10. What is the second smallest value in -1\/23, z, h, -4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3 (b) 1.441 (c) -457\/3 (d) -2\/3 (e) 2\/15 (f) 0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 - 9. Suppose -p = -f*p - 16. Calculate the remainder when p is divided by (0 - 6)*4\/32*-8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -276 (base 8) in base 16?\nAnswer: -be","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 21384 divided by 2?\nAnswer: 10692","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7474163 - 56170364 = -27*z. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2111819706?\nAnswer: 2, 3, 101, 1161617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 + 16\/6*93. Let u(z) = -z**3 + z**2 - 2*z - 2. Let a be u(-3). Suppose -s = a - f. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 + (-3 - 0))\/(-1) - -9. Suppose 0 = -i*r + 24*r - 224. Solve -7*k + r = 51 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of i**6\/480 - 69*i**5\/80 - 139*i**4\/32 - 209*i**3\/24 - i**2 + 113. Suppose t(l) = 0. What is l?\nAnswer: -1, 209","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/13, 0.1, 1, 0.3 in ascending order.\nAnswer: -2\/13, 0.1, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1355?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -198 + 198.02. Let q = s - 0.01741. Round q to 4 decimal places.\nAnswer: 0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 78166, 37, -5 in descending order.\nAnswer: 78166, 37, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -17*r - 95. List the prime factors of a(-33).\nAnswer: 2, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3170155*f**4 - 4491194 wrt f?\nAnswer: -12680620*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(45)\/(sqrt(6)\/sqrt(2)))\/(sqrt(3) + sqrt(24)\/sqrt(72) + sqrt(3)) - (sqrt(100)\/(1*sqrt(2)))\/((1*sqrt(60))\/sqrt(6) + sqrt(10))) + 3.\nAnswer: -sqrt(5)\/14 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75 is divided by (-12 + 11)\/(0 + 5\/(-80)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2814352?\nAnswer: 2, 175897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.05 - 0. Let x = -550 + 554. Is x >= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-15)\/(210\/(-8)) - (-16)\/14*10. Solve 2*r + q = -4, -2*r - 9*q - 4 = -t*q for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(209)*-1 - sqrt(209)) + sqrt(209))*-4 + sqrt(209))\/sqrt(11).\nAnswer: 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(2\/19)\/n)\/(n**(3\/2)\/n))**(2\/69)\/((n*n\/n**(-3))\/(n\/(n\/(n\/n**(-1\/10))))*(n**1)**(8\/13)) assuming n is positive.\nAnswer: n**(-776447\/170430)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6760 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/305 at least as big as -40751?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12 and 792?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -81, -166, -251, -336, -421, -506?\n\"Answer: -85*w + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w**4 - 2*w**4 - 13*w**4)*(-2*w + 0 - 1 + w).\nAnswer: 12*w**5 + 12*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62342 + 4*z**3 + 8*z**3 - 31180 - 31162.\nAnswer: 12*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 2*r. Let j(s) = -1427*s + 18. Calculate j(a(x)).\nAnswer: -2854*x + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 5:46 AM?\nAnswer: 4:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 PM and 8:28 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4 + 674*b**2 - 54*b**2 - 1383*b - 4 - 3961*b**2 wrt b.\nAnswer: -6682","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(720) + -1 - (sqrt(405) + (1 + sqrt(405))**2))*2 - 1*(3 + 1*sqrt(5)*1).\nAnswer: -817 - 31*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let -3*h**3\/5 - 12762678*h**2\/5 + 12762681*h\/5 = 0. What is h?\nAnswer: -4254227, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 + 15*q**2 - 7*q - 1. Calculate z(-15).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*o + 5*z = -14*o + 626 - 708, 6*o + 3*z + 132 = 0 for o.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-16)\/(-42)*56\/48. Suppose 5*z = 3*t - t + 10, -4*z - 3*t + 31 = 0. Suppose -g + z = 3*g. Which is the third biggest value? (a) g (b) 1\/6 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 48 and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 183, 365, 547, 729, 911?\n\"Answer: 182*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + -101?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - 26. Let r = 1 - -7. Does 12 divide (-2)\/r + (-485)\/f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(1\/8)*z)\/z**(-7\/4) assuming z is positive.\nAnswer: z**(29\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 7*n**2 - 3*n + 4. Let i(u) = -8*u**2 + 4*u - 5. Suppose 4*q = -q - 25. Let j(p) = q*g(p) - 4*i(p). Find the second derivative of j(d) wrt d.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -2 + 4*n**2 + 2 - 8*n**2. Let o(x) = -9*x - 7. Let b(j) = 8*j + 6. Let c(p) = -7*b(p) - 6*o(p). Calculate r(c(q)).\nAnswer: -16*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 4*u**2 + u + 7. Let h(l) = l**2 + l - 1. Determine -3*h(s) + i(s).\nAnswer: s**2 - 2*s + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 - 6*d + 1. Let w be m(4). Let q = 9 + w. Suppose 4*o + v + 3*v = 28, -q*v - 58 = -4*o. Calculate the greatest common factor of o and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-3)\/15*1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 345091458 to the power of 1\/2, to the nearest integer?\nAnswer: 18577","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/6, -9, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8*h - 15*h + 12*h)*(3 + 0 + 0) + (-1 + 6 - 3)*(-3*h + 5*h - 3*h) - 3*h - 2*h + 6*h + 0*h - 5*h - 2*h in the form f + t*h and give t.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, -116, -395, -930, -1805, -3104, -4911?\nAnswer: -7310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 547*m**2 - 281*m**2 - 263*m**2.\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24214498 + 1002.0429.\nAnswer: -24213495.9571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the third derivative of -q**6\/120 - q**5\/5 - 19*q**4\/24 + 2*q**3 - 71*q**2. Give k(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of -m**6\/105 + m**4\/21 - m**2\/7 + 4*m. Suppose s(w) = 0. Calculate w.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from {z: 2, g: 1, b: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 10:15 PM?\nAnswer: 10:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 21217752?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = d + 1, -3*d + 5*t = 6 + 7. Suppose -3*c - 125 + 5 = -2*l, -4*c = d*l - 240. Is l < 62?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20057270251 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 59 and 1003.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - b - 3 = 10, 20 = 4*v - 4*b. Let q be -12*(204\/126 - v\/7). Is q at most -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 12) to base 16\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 + -8. Suppose -3*m + 379 = 4*j, 0*m - k*m = 3*j - 384. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 77\/15978?\nAnswer: 77\/15978","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 74, 87, 108, 137?\n\"Answer: 4*c**2 + c + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1070966 is divided by 110?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -12, 0, -35 in increasing order.\nAnswer: -35, -12, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/(n**(-3)\/n)))**(11\/7)*(n**(1\/3))**16 assuming n is positive.\nAnswer: n**(-20\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5977?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.592 + 152.408. Which is the closest to r? (a) 4 (b) -1 (c) 2 (d) -0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 59 - ((14 - 7) + (-12 - 9) - (1 - 0))?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (((-29260)\/57)\/110)\/(7\/(-30))\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(132)*-5 - sqrt(132)*2*-6)\/((-1*sqrt(24) + sqrt(24) + sqrt(24) + sqrt(24))\/sqrt(2)*-2).\nAnswer: -7*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -1 + -2 + 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25427 is divided by 6354?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-2*((sqrt(1100) - -1*sqrt(1100)) + -4 - sqrt(1100)) - (-4*(sqrt(11) - sqrt(275)) + (sqrt(33) + sqrt(33)*5)\/sqrt(3)))**2.\nAnswer: -3360*sqrt(11) + 97340","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2\/4 + 27633*h\/2 + 2828970.\nAnswer: -(h - 55470)*(h + 204)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 34621 (base 11) in base 14?\nAnswer: 14312","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 7*s + 34 = -5*s + 5*x, x = -24*s + 262 for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -15531304 (base 6) in base 4?\nAnswer: -2013310120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*b + 0*b + 3*b**2 + 8*b**2.\nAnswer: 11*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-1 - (2 + 20\/(-8)))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l + 2*a - 56, -l - 2*l + 4*a = -20. Suppose -2788 = -l*j - 5*j. Is j a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -3426*a**3 + 10278*a**2 + 5139*a. Let g(v) = -v**3 + 2*v**2 + v. What is 5139*g(j) - i(j)?\nAnswer: -1713*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (13 - 1) + (3 - 11)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 37)*(-a - 6*a + 6*a)*(-3 + 5 + 0)*(a + 3*a - 2*a).\nAnswer: 144*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -5*h**4 + 3*h**2 - 2*h - 2. Let s(j) = -24*j**4 + 15*j**2 - 11*j - 11. Let u(o) = 11*f(o) - 2*s(o). What is the third derivative of u(g) wrt g?\nAnswer: -168*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-19)\/((-5016)\/(-572)))\/(1\/(-18))?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 + (2 - 0))\/2. Suppose -10*r - 22 = -2. Let k be (r - -3) + 71 - (0 + l). What is the greatest common divisor of 180 and k?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-1\/4)*i*i*i)\/i**44 assuming i is positive.\nAnswer: i**(-161\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeekzez. Give prob of picking 1 k, 2 z, and 1 e.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 5 = -0*p. Suppose 2*n = -x - 3, -2*x + 7*n = 2*n - 39. Let b(s) = 2*s + 6. Let f be b(x). Solve p*g + 0*h - 25 = -3*h, 4*g + 4*h = f for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 56.08243ml?\nAnswer: 0.05608243","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-71)\/5 - (-11)\/55. Let p be (-4)\/o - 160\/(-28). What are the prime factors of 11\/33 - (-214)\/p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3855, 4249, 4643, 5037?\nAnswer: 5431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2 - 130*g + 855. Calculate f(17).\nAnswer: -1644","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 635458 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11003 (base 6) to base 12.\nAnswer: a63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1206594 - 679507?\nAnswer: 527087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 29, -1, 80\/21, 0.4, -2\/5, 5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnmginnvgvvvmvgg. Give prob of sequence mggg.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 177 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -244.09 + 247. Let p = 2.91 - v. Let h = -4 + 1. What is the second smallest value in p, 9, h?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.96176091 to 1 dp.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-325)\/(-15))\/(105\/9)\nAnswer: 13\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-13)\/3 - -3)*(-12)\/8\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*1*sqrt(187) + sqrt(187) + (sqrt(187) + sqrt(187)*-1 + sqrt(187))*6)\/((sqrt(11) - (sqrt(99)*6 - sqrt(11)))*-3))**2.\nAnswer: 17\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are 87635\/3 and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1754 + 7463?\nAnswer: 11437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1fc - -29?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/2444006 and 83\/6.\nAnswer: 7332018","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one tenth of a gram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2. Let f(h) = -9*h**2 - 6. Let d(g) = -f(g) + 4*p(g). Find the first derivative of d(n) wrt n.\nAnswer: 10*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-10)*(-5)\/(-4)*2. Let q be w\/((-21)\/6) - (-1)\/21. What is the third smallest value in -0.1, 0.4, q, -4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 1104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 6*j - 124 = 0, -4*l - j + 20*j + 16*j + 40 = 5*j for l.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 + a + 11. Is m(-16) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 - 29*o**2 + 5. What is p(29)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = -15*p + i, -i - 3*i = 5*p - 14 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-35293)\/(-2) - 134\/(-268) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 - 23*u**2 - 5884*u - 141846. Determine b(-24).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 3202300 to the nearest 100000.\nAnswer: 3200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 40*o + 4 - 16 - 56*o. Let t be c(6). Let k = 35 - t. What are the prime factors of k?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 47*z**2 - 52*z**2 - 28*z**2 as u*z**2 + b*z + f and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16973\/17 - 996. What is the common denominator of i and -1 - 1 - (-274)\/(-12)?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*n + 3*n**2 + 19*n + 6*n**2 to y + u*n**2 + r*n and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 12301 (base 4) in base 7?\nAnswer: 1156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1148 and 10948476?\nAnswer: 10948476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 33 + 375. Let n be (184\/(-44) - -4) + (864\/132)\/3. Suppose 5*g - g + 384 = n*i, 2*i + 2*g = c. What are the prime factors of i?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence unn when three letters picked without replacement from unununuuuuuuuuununn.\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3203, 3230, 3269, 3320?\nAnswer: 3383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -q + 41*q**2 + 21*q**3 + 30*q**3 + 39*q**2 - 75*q**2 in the form s + v*q**2 + m*q**3 + p*q and give m.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 2. Suppose x - q = -0*x. What is the remainder when -5*(1 - (2 + 0)) is divided by x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1601, 3209, 4817?\n\"Answer: 1608*k - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/238974 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 - 20*c - 37. Let r be i(-18). Let f = 0.3 - -8.7. Put r, f, 4 in decreasing order.\nAnswer: f, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -59 - -6. Let x = q - -53. Suppose g - 38 - 62 = x. Does 25 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 584.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 27*c = 64650. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -55 - -37. Let r = 14 + o. Is 17 a factor of 68 + r + 6\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -2*a**3 + 6*a + 846. Is 3 a factor of p(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14*a**6 - 1245*a**3 - 4*a**2 + 2*a - 1000?\nAnswer: -1680*a**3 - 7470","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, 4, -26, 5654 in descending order.\nAnswer: 5654, 4, 3, -4, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i + 3. Suppose -5*d - 154 = -439. Let w be 1\/4 - d\/(-12). Give g(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2870?\nAnswer: 2, 5, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2 - 9*o - 7. Let f be t(10). Suppose -f*s - 2*i + 4858 = -3*i, 2*i - 8082 = -5*s. Suppose 3*m - 8*m - 3236 = -4*p, s = 2*p - 4*m. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1158321 and 906?\nAnswer: 453","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 PM and 6:13 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1603 is divided by 382.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11134 - -1101?\nAnswer: 12240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the second derivative of 0 - h**3 - 1\/10*h**5 + 0*h**2 + 2\/3*h**4 - 24*h. Let d(v) = 0. Calculate v.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14105 divided by -403\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9334952, -37339781, -84014496, -149359097, -233373584, -336057957?\nAnswer: -457412216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 - (-72 - -127 - 20)?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -34*o + 72*o - 32*o + 11*o**2 + 2*o**3. Let n be j(-5). Let r(a) = 2*a - 1. Let i(c) = 3*c - 1. Give n*r(l) + 3*i(l).\nAnswer: -l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.68067272 to one decimal place.\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 + 14*l**2 + 7*l - 29. Calculate the lowest common multiple of 21 and p(14).\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 5, o: 7}. Give 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 b + 6*b + 9*b + 10*b - 29*b + 2*b.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - t = 25, -w + 33 = 2*w - 3*t. Suppose c + 4 = -c + 4*o, 4*c = -3*o + w. What is the derivative of -2 - b**2 + 3 + 0*b**2 + c*b**2 wrt b?\nAnswer: 2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -6*d**3 - 2*d**2 + 1. Let t be w(-1). Let g = -12 + 7. Let r = 7 + g. Which is the third biggest value? (a) t (b) -2 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/(-9) - -3)*(-2 - 1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 9*b. Let q(a) = 21*a + 2. Let h(y) = -2*q(y) + 5*v(y). Let c(f) = 2*f**2. Determine c(h(s)).\nAnswer: 18*s**2 - 48*s + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - w = -4, -4*w - 2 = -5*j + 3 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2*m**2. Let v(k) be the second derivative of 37*k**4\/2 - 62*k. Calculate v(d(b)).\nAnswer: 888*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (282471\/(-7) - 6)*(-1)\/3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tbxxxwbttx. Give prob of picking 1 t, 1 x, and 1 b.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 + 19. Let x(k) = k**3 - 3*k**2 + k + 2. Let d be x(2). What is a(d)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1605525 to the power of 1\/3, to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -102*c**2 - 49*c**2 + 36*c**2.\nAnswer: -115*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4195628 and 7342349?\nAnswer: 29369396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/18)\/(17 + (-2632)\/156)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 388\/16 + (-1)\/4 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0 (b) 2\/5 (c) 3 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*v + v - 2*v)*(-1 - 2*v**2 + 1) + v**3 + 0*v**3 - 2*v**3)*(-8 - 4*v + 8) + (-3*v**2 - 4*v**2 + 6*v**2)*(-2*v**2 + 3*v**2 - 2*v**2).\nAnswer: 29*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 c when two letters picked without replacement from hqrcrhhhhr.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/4)\/((-9)\/1566). What is the greatest common factor of 232 and s?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/(-1 + -1) + (35 - (-8 + 42)). What is the highest common factor of i and 776?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 9*q - 37. Let a(o) = -3*o + 12. Let x(c) = -7*a(c) - 2*k(c). Let v be x(4). Suppose -n = v*n. Solve n = 5*t - 0*t + 15, 4*t + 14 = 2*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 64 + -60. Let 8*m**4 - r*m**4 + 28*m**3 + 146*m**2 + 36*m - 86*m**2 = 0. Calculate m.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2356897 (base 10) in base 7?\nAnswer: 26014264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6.6 + -30.6. Let p = 29 + z. Which is the nearest to 0.1? (a) 21 (b) p (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1255195*v + 1255101*v = -3384 for v.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 893 + 3393. What are the prime factors of f?\nAnswer: 2, 2143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 348 = -3*d, 0 = -2*d + 4*m - 17 - 191. Let u be (d\/6 - -1)\/((-21)\/126). Calculate the highest common divisor of u and 53.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 744 and 29584.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 78 = -114. Suppose 0*f = 5*j - 2*f - n, -12 = 4*f. Suppose -15 = j*i - 23*i. Solve 1 = u - i for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -42*h + 128. Let v be w(3). Let y(n) be the third derivative of 0*n + 0 + v*n**2 - 1\/12*n**4 - 8\/3*n**3. Differentiate y(k) with respect to k.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 2*f**2 + 0*f + f - 3*f**2. Let a(m) be the third derivative of m**6\/120 + m**5\/20 - m**4\/8 + m**2. Give -a(i) - 3*b(i).\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 2*u - 1)*(1 + 2 - 2 + (7 - 2 + 0)*(10 - 1 - 3)) - 3 - u + 0 + 5.\nAnswer: -63*u + 33","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 - (-2 + 4 - 4). Suppose 0 = -7*q + 3*q - h, -4*v + 410 = -2*q. Suppose 6*f + v = 8*f. Is f a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -92764? (a) -0.2 (b) 5 (c) 3\/7 (d) -1 (e) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20028*j**3 - 9986*j**3 - 10046*j**3.\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10792713.\nAnswer: 3, 3597571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -243167 = -8*z + 2*t - 4*t - 243305, -89 = 5*z + 4*t for z.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60956814?\nAnswer: 2, 3, 10159469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10 + -0.3432552.\nAnswer: -10.3432552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -43 - -1278. Suppose -8*h + t = 387. Suppose 4*y - h = -3*n + 37, -3*y - 12 = 0. List the prime factors of n.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 198.2 - 29.2. Let h = -162 + o. Which is the second biggest value? (a) h (b) -5 (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24926?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 - 10*w**2 - 7*w - 8. What is l(6)?\nAnswer: -194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46043, -41154, -36265?\nAnswer: -31376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 8. Suppose -1 = -3*i - 4*t, -5*t - 7 = 2*i - i. Suppose -u + i = -d. What is the highest common factor of 90 and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 60\/(-14) + 4 + (-20)\/(-5) and 47\/15.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/105064 and 103\/11819700.\nAnswer: 23639400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -264 + 28823?\nAnswer: 2858c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 - 53*d**3 + 106*d**3 - 4 - 2*d**2 + 13 + 2*d - 57*d**3 to the form j*d**2 + z*d + w + o*d**3 and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19677717 and 54?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 AM and 4:34 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwklllllk. Give prob of picking 1 k and 1 w.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 - 25*a**2 - 122*a - 57. What is the units digit of s(30)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3178442?\nAnswer: 2, 1231, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 10 = -4*g + 8, 15 = 5*g - q. Factor -8\/3 + 0*f + g*f**2 + 2\/3*f**3.\nAnswer: 2*(f - 1)*(f + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + (64 - (11 - -8)) + -21.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 51.7 + -20.766?\nAnswer: 30.934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 114647 < 0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 19861657943 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -215134080 divided by -15366720\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1489740 and 550?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3*r + 2 - 3)*(3 - 3 + 1)*(-6 - 3 + 5).\nAnswer: -12*r + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*v**5 - 13*v**5 - 7*v**5 + (-1 + 1 + 3)*(-v**5 + 4*v**5 + 0*v**5).\nAnswer: -5*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 9*t**2 + 2 + (t + 2*t - 2*t)*(2*t - t + 0*t).\nAnswer: 10*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -3178435 divided by 107\nAnswer: -29705","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*c - 2*c + 260 + 5*c.\nAnswer: -c + 260","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63\/(-2)*(-21)\/98*86\/(-258).\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 + 9*k**2 + 7*k - 3. Let x be v(-8). Suppose 3*l = -z + x*z - 57, 77 = 4*z + l. What is the remainder when z is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.6+51.360445\nAnswer: 50.760445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 658 and 57386?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -33*q - 62. Let d = -66 - -58. Is u(d) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*h + 267 = 72 - 117 for h.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(3\/4)*b*b\/(b*b**(-7)))**(-47)*b**(-4)*b\/b**(2\/3)*b**5\/b*b**(2\/3) assuming b is positive.\nAnswer: b**(-1641\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 30885, 61870, 92855, 123840?\n\"Answer: 30985*k - 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1526 (base 12) to base 9\nAnswer: -3353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-9)\/(-1 + 2)*(-2)\/(-6). Let i be (2\/z)\/((-18)\/(-24)). Is -1 equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40 - (28 + -19 - -9).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f. Let u(g) be the second derivative of 3*g**5\/10 - g**4\/6 + g**3\/6 - g + 1464. What is t(d) - u(d)?\nAnswer: -6*d**3 + 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1199690113.\nAnswer: 4217, 284489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and 359.66.\nAnswer: 35.966","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -58 - ((-1 - 0) + (9 - 24) + 15 + 2)?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/14 - (-24)\/(-14). Let q be k + 2 + -2 + 4. Suppose 85 = q*c + 3*c. Is 11 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.023, -2.9, -5, -1\/5, -8\/3?\nAnswer: 0.023","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000566531 to 4 decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*x**2 + 4*x + 2*x + 0*x**2 wrt x?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -58, -7, 5, -3, -2, -118 in decreasing order.\nAnswer: 5, 2, -2, -3, -7, -58, -118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -p - 53, 2*h - 2 = -3*p - 18. Let i(o) = 23*o**2 + 18*o - 54. Is i(h) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25 - 28. Calculate the smallest common multiple of ((-8 - b)\/(-1))\/(1\/2) and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3611 or 3594?\nAnswer: 3611","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 57 and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 10:15 PM?\nAnswer: 3:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -182 + 726. Let p = y + -543.99999714. What is p rounded to six decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -167*f + 162*f. Let a(d) = 3*d**2 + 5*d - 37. Does 9 divide a(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 4*v**2 - 33*v - 22. Let g be q(9). What is the highest common factor of g and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3055\/14 at least as big as -219?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -2 + (0 - -3) - 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 3 + 4*k + 2*k - 72*k + 16*k - 4. Let m(r) = 20*r. Determine m(a(o)).\nAnswer: -1000*o - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from mqm?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of 81*a**4\/4 - 27*a**3\/2 + 27*a**2\/8 - 3*a\/8 - 18. Factor x(i).\nAnswer: 3*(6*i - 1)**3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -152*r**2 + 40 - 28*r - 40 + 34*r to the form m + g*r + t*r**2 and give g.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r - 4 = -f + 5*r, -2*f - 3*r = -9. Suppose -10*s + 28 = -f*s - b, 2*b - 48 = -5*s. Let z(c) = -2*c - 4. Let h(m) = m + 1. Calculate s*h(x) + 3*z(x).\nAnswer: 2*x - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 4692*g**2. Let q(v) = -42*v**2. Determine s(q(u)).\nAnswer: 8276688*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-75 - (81 + -54)) + (3 - 3 - 16).\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 189 is divided by 38.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -13, -26, 7, -2 in increasing order.\nAnswer: -26, -13, -2, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2*(-6)\/(-8)*2. Suppose 0 = 4*k - 3*o + 22, -2*k - 35*o + 31*o = 0. Let x be 3 + 1 + -2 - (k + -1). Solve 25 = -3*y - 2*g, -2*g = l + x for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 - 1. Let a(r) = -r**3 + 6*r**2 - 3. Let p be (-5)\/(-15) + (-200)\/60. Determine p*l(c) + a(c).\nAnswer: 2*c**3 + 6*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3498989, -0.2, 34?\nAnswer: 3498989","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -25.6 - -27. Let l = p - 1.39986. What is l rounded to 4 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -52*w**5 - 4*w**3 + 272*w wrt w.\nAnswer: -1040*w**3 - 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 76 + -71. Suppose 3*k + 20 = -2*k. Suppose -5*q = 6 - 21. Put q, k, w in ascending order.\nAnswer: k, q, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -2*a - 8864 + 8864. Let h(q) = 4*q - 7. Let z(p) = -2*p + 7. Let j(x) = 2*h(x) + 3*z(x). Calculate j(n(v)).\nAnswer: -4*v + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4 - (-96)\/6) + -4 - -1. Let h(i) = i**3 - 10*i**2 + 10*i - 2. Calculate h(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 462 and 6?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -c**2 - 4*c**2 + 4*c**2 + (0*c + 0*c + c)*(-2*c + 5*c + 2*c) as g + p*c + f*c**2 and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 70.61579um?\nAnswer: 0.00000007061579","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 232c46 (base 13) to base 14\nAnswer: 17a2cd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 + 3*g**2 - g + 2. Let j be s(-3). Suppose 7*p - j*p = 8. Solve -5*f + 4*b + 9 = 0, -p*f = b - 5 + 2 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -430019520499 - -22.2.\nAnswer: -430019520476.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of -o**5\/10 + 4*o**4\/3 - o**3\/2 + 33*o**2\/2 - 31*o - 2. Let g be z(8). Solve -g = 4*r + 4*x + 19, 0 = 5*r + x + 19 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 5*b. Let q be c(-1). Let n(z) = -z**3 - 3*z**2 + 2*z - 2. Let x(a) = a**3 + 2*a**2 - 2*a + 1. Calculate the remainder when n(q) is divided by x(2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 4*u + 1. Let o(z) = 4*z. Let h(n) = 4*o(n) - 3*x(n). Let j be h(2). Solve 5*i - 5 = j for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15142*c**2 - 4*c + 1471?\nAnswer: -30284","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 2*v = 1. Let n = -1 + v. What is the remainder when 35 is divided by n\/(0 - 1\/6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 3 t when four letters picked without replacement from ttnttttttttt?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 54 - 40. Let w = j + -20. Let a be -32*(0 - 25\/w)*-3975. Round a to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4623500, -9247000, -13870500, -18494000?\nAnswer: -23117500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 560 divide 5688052?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 248, 236, 224, 212, 200?\nAnswer: 188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/23188 and 45\/5456?\nAnswer: 92752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -224 (base 10) in base 4?\nAnswer: -3200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6 - 6 + 27*q**2 + (0*q + 2*q - q)*(-q + 0 + 0) + (-4*q**2 + 5*q**2 + 4*q**2)*(1 + 0 - 3).\nAnswer: 16*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 30742 + -124503\/4. Let h = p - -384. What is the closest to h in 0, -1, 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*i + 20*i - 4*a - 28 = 0, a + 7 = 2*i. Solve i = 33*r + 6*r - 234 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64\/3 of a week in hours?\nAnswer: 3584","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2 + h. Let z(l) = 14*l**2 - 10*l. Let q(c) = -10*p(c) - z(c). Let w(s) = -6*s. Determine w(q(o)).\nAnswer: 24*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 39195706?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/14 + (-2922)\/(-14). Let b(g) = g**3 + 6*g**2 - 11*g - 9. Let i be b(-7). Calculate the greatest common divisor of i and t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8\/((-112)\/21)*(4 - -2). Let w(m) = m**3 + 8*m**2 - 24*m - 23. Let t be w(a). Calculate the greatest common divisor of t and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.4 - 0.9. Suppose -4*h - 25 = 3*p, 2*h - p + 13 = -2*h. Which is the second biggest value? (a) h (b) 0 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2 - 69. Let v be m(0). Suppose 0 = -2*l + 6*l - 20, -6*l = 3*f + 174. Which is greater: f or v?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 + 14*s**2 - 13*s - 82. Determine w(13).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 - 2 - (-40)\/50. Which is the second smallest value? (a) 1 (b) i (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 491*t - 1030*t + 428*t + 596*t - 55.\nAnswer: 485*t - 55","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18 + -18. Suppose f = -2*q - 0 + 2. Is q less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o**2\/2 - 105527*o\/2 - 105525 = 0. What is o?\nAnswer: -105525, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 237353918 to the power of 1\/2, to the nearest integer?\nAnswer: 15406","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2 + 448*b + 3205. What is a(-7)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 555\/14984 or 0?\nAnswer: 555\/14984","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 28\/19 + -402\/247. Let x = 9 - 8. Which is the nearest to 0.1? (a) d (b) -0.5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -21 and -0.17.\nAnswer: 3.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35 - 75 + 40 + 164*m.\nAnswer: 164*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 212268?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -292 - -435. Let w = 146 - p. Sort w, -5, 26, -4\/9 in decreasing order.\nAnswer: 26, w, -4\/9, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -373 (base 11) to base 8\nAnswer: -673","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 40886?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 11 - -c71b3b?\nAnswer: c71b4c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wzwqazzmzm. What is prob of sequence zmqm?\nAnswer: 1\/630","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dxxinnxxivnnod. What is prob of picking 4 n?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*h + 3 + 3 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k - 16. Let f be d(-6). Let u = f + 55. Is 15 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 337021432?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2 - a + 2. Let c(j) = -2*j**3 + j**2 - 1. What is 3*c(v) + s(v)?\nAnswer: -6*v**3 + 2*v**2 - v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 - 2*p**2 - 3*p + 3. Let j be 248\/88 - 4\/(-22). Let l be u(j). Find a such that 0*a + 0*a**2 + 0 - 2\/7*a**l = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 252766, 252754, 252742, 252730, 252718, 252706?\nAnswer: 252694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -321.1 - -321. Suppose 0 = -5*z - 3*s + 74, 5*z - 77 = -0*s - 4*s. Which is the closest to g? (a) -0.5 (b) z (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(252)\/sqrt(36) - (sqrt(378)*-2)\/sqrt(6).\nAnswer: 7*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 213 a factor of 50055?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 37012 (base 10) in base 6?\nAnswer: 443204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 146 by -1.\nAnswer: -146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + ((sqrt(720)*2*2)**2 + 2 + -4)*-5*6)*1.\nAnswer: -345541","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 146017 to the power of 1\/2, to the nearest integer?\nAnswer: 382","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -4*i - 19. Let f = -47 + 31. What is the units digit of j(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36, 164, 378, 678, 1064, 1536, 2094?\nAnswer: 2738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7381 + 7381. Solve 8*b = -4*a + 5*b, -5*a - b = k for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 311981.3 nanograms in kilograms?\nAnswer: 0.0000003119813","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 10 + (4 - (4 + -4) - (20 - (16 - -2)))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 5, 2, -2\/19, 61, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 43 - 38. Let w(q) = -q**3 + 5*q**2 - 3*q + 5. What is w(a)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -135, -5, 5, 0.\nAnswer: -135, -5, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 40*g - 23*g - 4*g**2 + 63*g = 0. Calculate g.\nAnswer: 0, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1949, -1953, -1959, -1967?\n\"Answer: -m**2 - m - 1947","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 589327 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1570604*z + 4153662 with respect to z.\nAnswer: 1570604","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.25 (b) -4 (c) 1\/3 (d) 5\/4 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*n - 65*n = -24315. Suppose 0 = -3*l - 9, -n = -3*t + 2*t - 5*l. What is the thousands digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 6 - 3)*(5*a**4 + 275*a - 275*a).\nAnswer: 10*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of 1\/3*r**3 + 18 + r - r**2. Let c be a(-1). Solve 6 + 14 = -c*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1001003 - 10?\nAnswer: -1001013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 182 is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 64*a + 271. Let p(s) = 64*s + 275. Let k be 9\/((-81)\/6)*(-15)\/2. Let t(h) = k*p(h) - 6*d(h). What is the derivative of t(j) wrt j?\nAnswer: -64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-8)\/a**6)\/(a\/(a*a**2*a))**(-4\/7) assuming a is positive.\nAnswer: a**(-110\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iis when three letters picked without replacement from {s: 2, i: 7}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3\/199 - 479\/5373. Which is smaller: r or 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 (base 7) in base 12?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 799171 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 3*m + 8. Let q be 2\/6*(m - -14). Suppose -8*i + 4*i - q = 0. Sort -3, i, 2.\nAnswer: -3, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 7*o - 2115 = 0. Let l = o + 1202. Let f = l + -329. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and 0.046.\nAnswer: -0.0092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15016623*m**3 + 4*m**2 - 16888688*m.\nAnswer: -90099738*m + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -199, -779, -1745, -3097?\n\"Answer: -193*m**2 - m - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -368379, 58 in increasing order.\nAnswer: -368379, -2, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**11\/r*(r\/(r*r**(-8\/5)))\/r)\/(r*r\/(r**(-26)*r))**(-17) assuming r is positive.\nAnswer: r**(2348\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(117)*-5 + 6*(-1 + sqrt(13)).\nAnswer: -9*sqrt(13) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -2*l**2 - 958 - 10*l + 971 + l**2. List the prime factors of p(-7).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of 9*a**4\/4 - a**2 + a + 1. Let f(m) = 4*m. Let r(w) = 3*w - 1. Let i(q) = -2*f(q) + 3*r(q). Let j be i(4). Determine o(j).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 AM and 12:10 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 344\/333209 or 0?\nAnswer: 344\/333209","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -52 or -51?\nAnswer: -52","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 w when three letters picked without replacement from {k: 14, w: 5}?\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 20 = -2*w + 6, -3*w + 5*f - 16 = 0. Suppose 5*a = -25, -7180 = -w*l - 2*a - 2*a. What is l rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times 111.7\nAnswer: -11.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -p - 20. Suppose -10 = 2*g + 10. Let l(n) = -n - 10. Let a be l(g). Solve 0 = -4*v - p*t + 28, 12 = -a*t + 3*t for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*5*((3*(sqrt(605) + -1) - (6*(sqrt(605)*2 - sqrt(605) - sqrt(605)) + sqrt(605)))*4)**2.\nAnswer: -1165920 + 63360*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18 - -9. Let c be (0 - (-1 + o)) + -2. Calculate the highest common factor of 8 and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*z + 3 - 3)*(72224 + 79198 - 142572) as w + o*z and give o.\nAnswer: 17700","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 + 15. Suppose 2*o + o - 99 = w. Is o a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(162) + 1*sqrt(32))*-2.\nAnswer: -26*sqrt(2) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 102, 236, 472, 822, 1298, 1912?\nAnswer: 2676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 24? (a) -2\/11 (b) -1567 (c) 0 (d) -1\/5 (e) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000012809 to seven decimal places.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3\/2 + 16713*i**2\/2 - 25066*i + 16710.\nAnswer: -(i - 16710)*(i - 2)*(i - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/(5 + -4))\/(1\/3). Suppose -3*o + 8 = 2*d, m*o - 6*o = 5*d + 7. Calculate the remainder when o is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 10) to base 14.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 22 = 3. Let f(h) = -4*h**2 - 5*h + 6. Let i(b) = 2*b**2 + 2*b - 3. Let t(p) = 3*f(p) + 7*i(p). What is the least common multiple of t(c) and 2?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19 - 13) + (-13 - (-4 - -5) - 2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-90)\/(-6))\/(2\/(-2)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17475*z**3 + 28517*z**2 wrt z?\nAnswer: -104850","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 2*m + 3. Let l be v(4). Suppose -n = 13 + 2. Let w be (-9)\/n + 1146\/15. Calculate the greatest common factor of l and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57\/(-76)*(-16)\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-13242)\/14 - 2 - 4\/28. What is n rounded to the nearest 100?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*z - 0. Let m be 4\/14 - 1*88\/(-35). Is z at most as big as m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -4*x**3 + 2*x**2 + 3*x - 5. Let o(z) = -z**3 + z**2 + z - 2. Let t(r) = 2*m(r) - 7*o(r). Calculate t(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6035 and 14555?\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.1584538392 rounded to 5 decimal places?\nAnswer: -1.15845","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 372242 a multiple of 147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2852297 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 359, 697, 981, 1181, 1267?\nAnswer: 1209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, k: 1, b: 2, q: 1}. Give prob of picking 2 p, 1 b, and 1 k.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -385*p - 17 + 17.\nAnswer: -385*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -5 (b) -2 (c) 4 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.2 + 0. Let f = 7.93 + -4.93. Which is the closest to -0.1? (a) 2\/11 (b) o (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1895975.\nAnswer: 5, 181, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(-4))**8)**(3\/8) assuming a is positive.\nAnswer: a**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 19 in 0.2, -3, 0, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -529732727 rounded to the nearest one hundred thousand?\nAnswer: -529700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**2 + 7*b - 1. Let u be j(-10). Let t = u - 97. Let i = t + 154. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -148875 or -148860?\nAnswer: -148860","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 550 is divided by 183.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 20 + 12. Let o be 10\/36 - (-8)\/(-16). Which is the nearest to 1? (a) q (b) -1\/4 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20.8 - 19.8. Let s = -2447\/3 - -816. Which is the closest to j? (a) 1 (b) s (c) -1 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 5*n**3 + 42*n**2 - 6*n - 843. Let f(b) = 11*b**3 + 86*b**2 - 14*b - 1685. Let y(z) = 3*f(z) - 7*g(z). What is the first derivative of y(j) wrt j?\nAnswer: -6*j**2 - 72*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 2090336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -50.64449 or 1\/381?\nAnswer: 1\/381","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 + 6)*2\/2. Let j be (15\/(-6))\/(q\/(-4)). Solve 2*u + j*u = -12 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -476872, -477018, -477270, -477634, -478116?\n\"Answer: -f**3 - 47*f**2 + 2*f - 476826","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x = 27366 - 27373. Which is the nearest to x? (a) -0.4 (b) -3\/128 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.193 + -0.107. Let y = 92.7 - 84.7. Which is the third smallest value? (a) o (b) -3 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-22)\/(-12) - 3\/(-18). Suppose 5*l + 3*o = z*o + 280, l - 2*o = 56. Is 22 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/40)\/(174\/464) - (5 - 265\/25)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let j = 44371\/2256 - 1\/752. Sort 1\/2, 2\/3, j in descending order.\nAnswer: j, 2\/3, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rbm when three letters picked without replacement from {r: 4, m: 5, b: 7}?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = -f - 76, -7*f - 15 - 32 = -3*x - 5*f for x.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of w**2\/2 + 13*w + 3. Let s be z(-9). Suppose -s*o - 12 = -2*j, 2*j - 3*o - 18 = -j. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + q = -2, -3*q - 4 = 4*l - q. Let v be (l - (-2)\/(-2))\/1. Let a = 6 - 5.6. What is the third smallest value in v, -4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8679*a**2 - 3253*a**2 - 20411*a + 20411*a - 5 + 3764*a**2.\nAnswer: 9190*a**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -w + 5*y - 45, 0 = 5*w - 3*y - 27 + 32 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/4 and -89\/15112.\nAnswer: 15112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o**36*o)\/(o**11*o*o)*((o**(-1\/11)*o*o)\/o*o)\/((o*o**27)\/o) assuming o is positive.\nAnswer: o**(10\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 9, v: 1, b: 7, f: 2, m: 1}. What is prob of picking 1 m and 1 t?\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 10442461 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2716.9 rounded to the nearest 100?\nAnswer: -2700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 13026?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 28 = 869*d - 865*d, 0 = 5*d + j - 16 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 425 divided by 25?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 + -4 + 1707\/(-198) + (-6240)\/1170.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 251*a - 731*a**2 - 174*a + 270*a + 134*a wrt a.\nAnswer: -1462","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 - 2*k + 8. Let d be i(2). Let j(b) = -2*b - 8. Let a be j(-6). Solve d = -5*z - 21 - a for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y - 9. Let l be h(-13). List the prime factors of 22*6\/l - -1.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -333101003 + -211?\nAnswer: -333101220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 2*k = 57, -j + 240 = 3*j + 4*k. What is the remainder when 645 is divided by j?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -125 + 124.8. Sort p, 2\/11, -0.1, 2 in decreasing order.\nAnswer: 2, 2\/11, -0.1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 0. Let m(a) be the third derivative of a**5\/60 + a**4\/24 + 4*a**3\/3 + 7*a**2. What is m(k)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**3\/7 - 1466*o**2\/7 - 418*o - 1462\/7.\nAnswer: -2*(o + 1)**2*(o + 731)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 58, 261, 598, 1057, 1626?\n\"Answer: -2*c**3 + 79*c**2 - 20*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1011010011100001100001 (base 2) to base 5.\nAnswer: -1224313203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -141 + 236. Let l = -88203 + 88298.0065. Let y = o - l. Round y to four decimal places.\nAnswer: -0.0065","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -2 - 7. Let t(o) = o**3 + 2*o**2 - 3*o + 3. Let p be t(g). Factor -2*i**p + 2*i**2 + 2*i**4 + i**3 - 3*i**3.\nAnswer: 2*i**2*(i - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/2 + (-4449)\/19866. Let n = -1\/301 + o. Calculate the common denominator of n and 52\/11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by 13\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -247.17 + 805.53. What is m rounded to the nearest ten?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 2*a**4\/15 - 1480942*a**3\/15 - 1480946*a**2\/15 + 1480942*a\/15 + 493648\/5 = 0.\nAnswer: -1, 1, 740472","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1387a20 (base 12) to base 10.\nAnswer: 3911928","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zfxxfqznxxzqzxzxz. Give prob of picking 1 x and 1 f.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9\/5 in -8.67, -2\/7, -6\/7, -0.5?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 PM and 6:11 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.0115066906+-0.05\nAnswer: -0.0615066906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 46532.83 centuries in years?\nAnswer: 4653283","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1, 2\/3, -22, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -149\/30343824 and -97\/1008.\nAnswer: 30343824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 - 8*r**2 + 4*r - 19. Let g be p(9). Let b = g - 66. Calculate the greatest common divisor of 80 and b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 463?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 3.957 times -34\nAnswer: -134.538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*g - 14*g - 45*g**3 - 44*g**3.\nAnswer: -89*g**3 - 4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 19*f**3 + f**2 - f - 1. Let o(d) = -d**2 - 14*d + 7. Let k(a) = 4*a - 6. Let s be k(-2). What is the remainder when b(1) is divided by o(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 56 + (49 - 35 - 76)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1689 divided by -106?\nAnswer: -1689\/106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2493030 and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 14 = -2. Let o = h + 3. Suppose -3*p + 6 = -3*v, -5*p - 5 = v + 9. Which is smaller: o or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 584 (base 10) to base 2\nAnswer: 1001001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 193093 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -4*a. Let y(j) = 98*j - 25*j - 30*j - 22*j - 20*j + 930. Determine y(d(h)).\nAnswer: -4*h + 930","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 75, 130, 279, 570, 1051?\nAnswer: 1770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 2) to base 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-24)\/p*p\/(p\/p**(4\/7))*(p*p\/(p**(-6\/23)\/p))**(-2\/77) assuming p is positive.\nAnswer: p**(-43413\/1771)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5245 + 9628. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 AM and 5:51 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (55 - (-27 + -12)) + -26\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/6285 and 47\/975013.\nAnswer: 14625195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z + 7 - 3. Let d be -57*-1*(-4 - z). Let x = -104 - d. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2771 - 949. List the prime factors of p.\nAnswer: 2, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9020*s - 4509*s = -w + 4509*s + 7, 19 = -3*w + 2*s for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20 - 4. Suppose 0*x + 4*o - 21 = -5*x, o + s = 3*x. Which is bigger: 4 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 104 and 80?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 57\/114*(-4)\/(-2). Let p(f) = 5*f**2 - 4*f + 5. Determine p(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 - (-2 + 13))*154\/21. Let z = i - -397\/6. Which is the closest to 0? (a) -1.8 (b) z (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or 23\/28?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/473, 2, 7995, -2, 0.3 in descending order.\nAnswer: 7995, 2, 0.3, -2\/473, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 - 6*k + 16. Let q be d(-8). Let c(r) be the second derivative of 1\/6*r**4 + 1\/2*r**2 - 5\/12*r**3 + q - 3*r - 1\/40*r**5. Factor c(x).\nAnswer: -(x - 2)*(x - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 3 = 2*u - 27, -3*u + 2*j + 4 = 0. Suppose -2*x = h - 34, -u*h + 2*x + 211 = 55. What is the highest common divisor of 114 and h?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (b - b + 2*b)*(-1040 + 13957*b - 1138 + 2178) in the form n*b + x + c*b**2 and give c.\nAnswer: 27914","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 136935 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - -1160?\nAnswer: 1152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1054595*h**3*i - 2*h**3 + 8*h**2 - 3*h*i - 10576*h - 2*i - 114 wrt h?\nAnswer: 6327570*i - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.43093mm in kilometers?\nAnswer: 0.00002043093","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -240 + 760. Round c to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the third derivative of -7*q**6\/120 + q**5\/60 - q**4\/3 - q**3 - 56*q**2. What is the second derivative of d(h) wrt h?\nAnswer: -42*h + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25716, 51387, 77062, 102741, 128424?\nAnswer: 154111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 788610513.\nAnswer: 3, 262870171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 AM and 10:00 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (2\/((-12)\/6))\/((-3)\/15) and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 + 13*l**2 + 471*l + 5692. Let h(r) = 16*r**2 - r. Calculate the remainder when f(-12) is divided by h(-1).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*u - 5*z, 2*u - 6*u + 53 = -z. Is 32811\/u + (-1)\/4 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2\/11 - 14*n\/11 - 20\/11.\nAnswer: -2*(n + 2)*(n + 5)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (342874*v - 548 - 171433*v - 171428*v)*((-2*v + 0*v + v)*(4 + 0 - 2) + 2*v - v + 0*v).\nAnswer: -13*v**2 + 548*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/(1 + (-12)\/4). Let j(m) be the first derivative of y*m**2 + 0*m - 2\/3*m**3 - 2*m**5 + 2*m**4 + 2\/3*m**6 + 3. Factor j(f).\nAnswer: 2*f**2*(f - 1)**2*(2*f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/16736 and 19\/10460.\nAnswer: 83680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 127807406?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2705836 is divided by 1023.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*b + 3*b + 2*b)*(0 + 0 + 2*b)*(14*b - 13*b + 20*b + (3 - 3 - 1)*(3*b - 4*b + 2*b)) as u*b**3 + o + l*b**2 + m*b and give u.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97523 is divided by 4240?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 17904839 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -24 + 24.03. Let g be -2 + ((-47)\/(-28))\/1. Let q = 3\/7 - g. Which is the third biggest value? (a) q (b) v (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67 = 2*h + 1. Let u be (-6)\/h - 1060\/(-22). Calculate the greatest common factor of 6 and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 22 (c) -4 (d) -0.4 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 270 and 330?\nAnswer: 2970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 0*k - 1 + 2*k + 11. Let v be i(7). Suppose -b = b - v. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 16392550.\nAnswer: -1\/8196275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 o when three letters picked without replacement from oododbboododooobobb?\nAnswer: 100\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 28156707 to the power of 1\/4, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1037.69 - -1033. Let d = z - -5. Let i = d + -0.01. Which is the smallest value? (a) 0 (b) 2 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.5 - -3. Let n = -0.13127 + 1.13127. Which is the nearest to n? (a) -0.2 (b) z (c) 2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-3\/2)*t*t**(-2\/9))\/((t*t*t**0*t*t)\/(t*t\/(t**(-2)\/t))) assuming t is positive.\nAnswer: t**(23\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -93 + 85. Let c(b) = -b**2 - 9*b - 10. What is c(w)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of y**3\/6 + 73*y**2\/2 + 165*y. Does 10 divide w(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/42697 and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -74\/213 and 1\/264.\nAnswer: 18744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.075 times 381?\nAnswer: 28.575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2287513\/7 - -325923. Let j = o - -866. What is the nearest to -2\/3 in 3, j, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/558 and 137\/2790.\nAnswer: 2790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/(5\/((-15)\/6)). Let r(f) = 74*f - 24*f + p - 1. Calculate the remainder when r(1) is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 2 (b) 8 (c) 0 (d) 116 (e) 5 (f) 3 (g) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6040\/24*(2 - -1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -8 + (64 - (0 - 7)). Let k(g) = 7*g**3 + 2*g**2 + 2*g - 2. Let q(r) = -216*r**3 - 63*r**2 - 63*r + 63. Determine s*k(z) + 2*q(z).\nAnswer: 9*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*v = 49*v + 624. Solve 8*p - v + 50 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 - 584*a**2 + 2*a - 9 + 578*a**2 + 2*a. Let m be n(-7). Let s be ((-2)\/14)\/((-4)\/14)*m. Solve -s = -4*w + w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 334*z**2 - 610*z**4 - 885*z**2 - 1657*z**2 - 1871*z**4 wrt z?\nAnswer: -59544*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6\/5 in -3\/5, 4\/75, -3, -0.1?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 AM and 12:23 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 1331 divide 58379555?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Sort -4590, -2, 3.\nAnswer: -4590, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqaoqoqoaoa. What is prob of picking 3 o and 1 a?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 82 - 83. Let d = 5.02 - 0.02. Is d equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5)\/3*(-120)\/100. Let j(i) = 4*i**2 - 8*i + 8. Let c be j(o). Suppose -3*d + c - 2 = 0. Solve d*p + 1 = -9 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 141 and 75247.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 - 8. Let z = -790 - -473. Let k = -321 - z. Which is the biggest value? (a) j (b) k (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 4 = 2*k. Suppose 4*m - 8 = k*m. Let w(d) = d - 10. Let y be w(10). Solve m*x - 2*x = y for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**2 + 10*s + 8. Let d = 18 + -9. Let g be o(d). Let y = g + -20. Put y, -1, -4 in increasing order.\nAnswer: -4, y, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 979262951 to the power of 1\/2, to the nearest integer?\nAnswer: 31293","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 - 30 = 7*v. Does 58 divide (27\/2)\/(-9) + 934\/v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.1, 1, -0.4, 4.5, -11?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14756535 (base 10) to base 9.\nAnswer: -30681140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (v**2 - 4*v**2 + v**2)*(0*v**2 + 4*v**2 - 2*v**2) + v**4 + 982*v**2 - 7*v**4 - 985*v**2 - 2 as u*v**3 + y*v**2 + x + d*v**4 + o*v and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 4bdd (base 14) to base 4\nAnswer: 3100033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 5*z = -25, -5*p + 3*p - 5 = -3*z. Sort 3, p, -3, -5 in ascending order.\nAnswer: -5, p, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -3 + ((sqrt(448) - -1*sqrt(448))*-5 - (-4 + sqrt(448) + -1)).\nAnswer: -88*sqrt(7) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**2 + 7*j + 12. Let l(p) = 18*p - 79. Let o be l(5). Suppose w + o = -a, -2*a - 8 = w - 6*w. Calculate b(a).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j = -4*j - 88. Let h = j - 12. Calculate the greatest common divisor of h and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (5 + sqrt(80)*-2 + sqrt(80))**2 + sqrt(80))*-3.\nAnswer: -330 + 108*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2239201 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 - k**2 + k. Let h be w(1). Let q = 3 + -3. What is the smallest value in 0.1, h, q?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 - 9. Let k(d) = -4*d**3 - 4*d**2 - 2*d. Let v(x) be the second derivative of x**5\/4 + 5*x**4\/12 + x**3\/2 - 4*x + 7. Calculate r*v(g) - 3*k(g).\nAnswer: 2*g**3 + 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1326?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + -1 + (-5 - -3) + 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -2*x**4\/5 + 58*x**3\/5 - 162*x**2\/5 + 158*x\/5 - 52\/5 = 0.\nAnswer: 1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 2*x**2\/3 + 414*x - 32300\/3 = 0?\nAnswer: -646, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 12*x - 42. Let t(z) = -5*z - 5. Calculate the lowest common multiple of c(5) and t(-5).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 90519063 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10976*k**3 + 24295*k**3 - 10383*k**3.\nAnswer: 2936*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 0.682, -0.1, 4, 2\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2100807 (base 9) to base 7.\nAnswer: 12353563","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -3*j**2 - 252*j - 5292 = 0.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d + 0 = 21. Let h be 6 - (4 + d)*16\/4. Suppose 374 = 3*z - h*b, -4*b - 62 = -2*z + 198. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = k + 48, -10359 = -2*k - 10351 for x.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -112101 (base 3) in base 2?\nAnswer: -110000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 7*q**3 + 0 - q**2 + 1 - 14*q**3. List the prime factors of t(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -21*c**2 - 47*c + 195. Determine p(6).\nAnswer: -843","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 11*s + 71. Give k(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**2\/2 + 93*v\/2 + 333.\nAnswer: -3*(v - 37)*(v + 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 256255 (base 8) in base 5?\nAnswer: 10324021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 - 17*d - 14. Is 19 a factor of n(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -13370919 less than -13370892?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3918841.298 + -2.\nAnswer: -3918843.298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14909553, 29819107, 44728665, 59638227, 74547793, 89457363?\nAnswer: 104366937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pmpjafaappfkakaakpam. Give prob of picking 1 k and 3 a.\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 80 and 2210?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4873 and 121?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k*(k**(1\/4)\/k)\/k)\/k)\/k)**(26\/3))**(-39)*k**(-2\/5)\/(k**5\/k)*k*k*k*k**(-3)*k\/(k**(-3)*k*k) assuming k is positive.\nAnswer: k**(9271\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3836 - c**3 - 136*c**2 - 3837 + 7672 + 0*c**3 to the form y*c + p*c**3 + d*c**2 + r and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-397*y**2 + 200*y**2 + 121 + 195*y**2)*(y + 3*y**2 - y) to the form x*y**2 + u + h*y**4 + i*y + q*y**3 and give h.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 20 - 140 = 0. Suppose -4*t - 2*i = 0, 5*i = t + 10 - m. Suppose -2*s = -3*b + 408, 2*b - 542 = -2*b + t*s. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 85 + -26. Let y = -72 + 125. Let x = r - y. Let n(v) = 2*v - 9. Calculate n(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8921 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.3389 + 0.6611. What is the second biggest value in l, -79, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2744\/3 - 2746*a**2 - 2\/3*a**4 + 2750\/3*a**3 + 8234\/3*a = 0.\nAnswer: 1, 1372","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + -12. Let l be (-18)\/h + 0 + -2. Let j be 1\/4 + (-1)\/(-2). Which is the closest to 0.1? (a) j (b) -2 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 387370\/51 or 7595?\nAnswer: 7595","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 107 + -78. Suppose 314 + 41 = 5*b. Let n = b - o. Calculate the remainder when n is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 5*x**2 + 13*x - 17. Let i be a(-5). Let d(t) = -81*t**3 - t - 3*t**2 + 5 + i*t**3 + 43*t**3. List the prime factors of d(3).\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - -2) + 0 + 4 + -51 + 55 - -68?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01 + -42004?\nAnswer: -42003.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 2977.40945 to the nearest 10.\nAnswer: 2980","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -0.9, 0.118, -122, 1\/5.\nAnswer: -122, -0.9, 0.118, 1\/5, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 8 - (15 + -19 + (6 - (-4 + 4))).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 287 and 140589.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 64 and 160.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 16559 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 PM and 11:10 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/7, 0.1, -0.1, 103, 2\/3, -5 in decreasing order.\nAnswer: 103, 2\/3, 1\/7, 0.1, -0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 16882 a multiple of 84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 60973395?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 176 + -711\/4. Which is the biggest value? (a) t (b) 7 (c) -0.2 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6825173 is divided by 6825115.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2081?\nAnswer: 2081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (190272\/245768)\/(72\/21)\nAnswer: 7\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 144 divide 457716341?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 291\/(-873)*(-59)\/(9204\/(-360)).\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 5*r - 1556. Let b = -4555\/6 + r. Find the common denominator of b and 81\/56.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -263? (a) 15\/7 (b) 0 (c) 1\/4 (d) -1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 72 and 36?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(1\/3)\/(c\/(c*c**(2\/17)))*((c\/((c*c*c*c\/c**(-2\/23)*c*c*c)\/c))\/c)\/(c**(3\/4)*c) assuming c is positive.\nAnswer: c**(-34655\/4692)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*g - 32*g + 23*g.\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-1 + sqrt(99) - sqrt(99))**2 + 5)*-3.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -0.6 (c) -8\/15 (d) -1\/9 (e) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*x - 187 = 59 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -6*o - 11. Let p(w) = -5*w + 8. Let r(i) = 4*i - 7. Let s(f) = -6*p(f) - 7*r(f). Let x(b) = m(b) + 2*s(b). Determine x(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 - 6*m**2 + 7*m + 2. Suppose -6*c + c = -70. Suppose 0*z = -2*z - c. Is b(z) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 - -15. Calculate the greatest common factor of 99 and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 56732436?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 388009907 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 2*b + 10 = -15, -2*d + 14 = 4*b. Suppose d - 21 = -4*v. Let q(t) = -v*t + 7 + 0*t + t. Give q(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3\/4 - 3*a**2\/2 - 11*a\/4 - 3\/2.\nAnswer: -(a + 1)*(a + 2)*(a + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d + 0*d + 5*d)*(2 - 2 - 1) + 5*d - d - d + d + 0*d + 2*d - 9*d.\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*s**3 + 63 - 63 + (0 + 1 - 2)*(-4*s**3 - s**3 + 0*s**3))*(5*s + 0*s + 0*s).\nAnswer: -40*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + v = 13, 0 = -4*h + 6*h + 4*v + 8. Let c(w) = -w**3 + 7*w**2 - 5*w + 8. List the prime factors of c(h).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-135*o + 2423 - 2425 - 13*o)*(2*o + 1 - 1) in the form k*o**2 + j*o + x and give k.\nAnswer: -296","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -284 or -93738\/331?\nAnswer: -284","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 22444 a multiple of 124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of -h**3\/3 + 13*h**2 + 27*h + 78. Factor g(s).\nAnswer: -(s - 27)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from {f: 3, s: 9}?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - -3 - 4) + -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j - 15. Let q be v(18). Suppose q*p = 18 + 18. What is the smallest common multiple of p\/60 - 108\/(-10) and 7?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*w + 110 = 2*w. Which is the third smallest value? (a) -2\/11 (b) w (c) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1, 4\/19, -3\/4, 3?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, n: 1, k: 5, l: 5}. Give prob of picking 2 l and 1 n.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 = -7443*b + 7454*b. Do -71 and b have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16074 divided by -3.\nAnswer: -5358","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 7.9545 micrograms?\nAnswer: 7954.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -412*n**2 + 4*n - 2. Let w(d) = -409*d**2 + 6*d - 3. What is 3*s(x) - 2*w(x)?\nAnswer: -418*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 10 - (1 - (-45 + 40 - (-4 + 2)))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2714 and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + 0 + (0\/7)\/(-5). Let w be (1\/105)\/((-10)\/605). Let s = -9\/35 + w. Is m at most s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*n**3 - 7*n**3 + 11*n - 57*n + 2*n**3.\nAnswer: -n**3 - 46*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/sqrt(4)*-5 + (sqrt(30)*-2)\/sqrt(10).\nAnswer: -7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -2*g**4\/7 - 7880*g**3\/7 - 55046*g**2\/7 + 62928*g\/7 = 0.\nAnswer: -3933, -8, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 99\/5*(6 + (-2)\/2) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 850067 to the power of 1\/2, to the nearest integer?\nAnswer: 922","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52904*p + 176 = -52926*p for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 87380?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 + 5. Let l = 9 + b. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 9*i + 2. Let d(k) = -k - 5. Let l(v) = -v - 10. Let m(h) = -2*d(h) + l(h). What is 2*m(q) - w(q)?\nAnswer: -7*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/9, 4, -0.79, -3, -83 in descending order.\nAnswer: 4, -1\/9, -0.79, -3, -83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13*-18.71.\nAnswer: -243.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13468 by 1924.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 913896 divided by -456948.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112 = 7*u - 3*u - 5*c, -84 = -3*u - 4*c. What is the smallest common multiple of u and 3?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 5*b**2 - 16*b**3 - 13*b + 1006617 - 1006611 + 15*b**3. Give u(6).\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 75915*m**2 - 12*m - 1196038?\nAnswer: 151830*m - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 - -95. Let o be (-63)\/84*16\/(-6). Suppose -d = o*t - 39, -14 = -t + 3*d + 16. What is the remainder when a is divided by t?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(((-4)\/10)\/(-2)). Let f = u - -16. Let v be -1 + -3 - (-87)\/24. Is v > f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1)\/4*-9)\/6. Let z = -7 + 4. Let j be -1 - (-2 - (-3)\/6). What is the closest to j in z, g, -2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.1 - 0.1. Suppose 2*g = -0*i + i - 4, 0 = 5*i - 5*g. Let s = -4 - i. Do s and t have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1*(-1 + 0)\/1 - -23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-112)\/(-5) - (-6)\/(-15). Let w = 39 - g. Let c(z) = 3*z - 2*z - w + 23. What is c(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6507289 weeks in nanoseconds?\nAnswer: 393560838720000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q**4 + 27. Let g(w) = -7*w**4 - 81. Let f = 31 + -27. Let p(u) = f*g(u) + 11*y(u). What is the first derivative of p(t) wrt t?\nAnswer: -24*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - -2) + -4 + 2. Let n(v) = v**2 - v + 3. Let f be n(0). Suppose 0*q - f*q = -6. Solve o = q*a - 3*l - 0*l - 15, -21 = -2*a + 5*l for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2544.7*-237\nAnswer: 603093.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 2*w**2 + 9*w + 2. Let i be d(0). Solve -i*z - l = -12, -11 - 16 = -5*z - l for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 868608 to the nearest one thousand.\nAnswer: 869000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 363\/12 - 9\/(-12) - 1. Let p(j) = -3*j**3 - 3*j**2 - 3*j - 2. Let c be p(-2). Let v = i - c. Calculate the remainder when 52 is divided by v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.72 - -121.28. Let k = 124.323 - x. Let t = k - -0.193. What is t rounded to 1 decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 - 10. Sort w, -2, 1.\nAnswer: -2, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38590 = 175*l + 217*l + 1296*l - 3610 for l.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.05, -15, -5, 0.5, 11\/13.\nAnswer: -15, -5, 0.05, 0.5, 11\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21418 + -14027. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 1:06 PM?\nAnswer: 10:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -2379619*o + 0 - 2 + 44575*o - 1264957*o. Let i = -5 + 3. Let g be n(i). Round g to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 5*l - 61 - 532, 5*r - 221 = -2*l. Suppose l = -f + 122. Let y be -4 + 12\/18*15\/f. What is the closest to 0.1 in 4, 1\/3, y?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**20\/f)**(-14)\/((f**6\/f)\/(f\/f**(-5\/11)*f)) assuming f is positive.\nAnswer: f**(-2954\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of -1\/15*i**5 + 0*i**2 - 1\/4*i**4 + 0*i - 4 - 2\/9*i**3. Factor y(c).\nAnswer: -c**2*(c + 1)*(c + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 72 and 768.\nAnswer: 2304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (105\/(-42))\/(36\/360).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 394808865?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0*((-52)\/16 + 3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of -3\/2*u**4 - 21*u - 21\/5*u**5 + 14*u**3 + 1\/2*u**6 + 129 + 3\/2*u**2. Solve i(x) = 0.\nAnswer: -1, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 2*c + 7 = 0, -85*c + 82*c - 2 = 4*y. Suppose 2*s = 3*s - 5. Suppose -y = 2*p - s. Solve -p*d = -4*x - 4, -3*x + d - 17 = 3*d for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0.48, 1\/2, -1 in decreasing order.\nAnswer: 3, 1\/2, 0.48, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000004747 rounded to 7 dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1909728706?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3*(-2)\/14 + (-342)\/(-63). Let g(b) = 232402*b**2 - 8*b - 10. Let t be g(u). What is t rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -3*m**3 + 6*m**2 - m. Let l(q) = -6*q**3 + 11*q**2 - 2*q. Calculate 7*g(p) - 3*l(p).\nAnswer: -3*p**3 + 9*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2106354?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes before 12:56 AM?\nAnswer: 5:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1018*0.3\nAnswer: -305.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -4125 (base 7) in base 14?\nAnswer: -74c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22385301 and 141.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - -374?\nAnswer: 379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*u = -30*u - 5, -u = l - 5. Let y(o) = -o**2 + 6*o - 9. Determine y(l).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.009 + -0.009. Let q = 4.7 - 2.5. Let s = q + -2. Sort c, s, -0.5 in decreasing order.\nAnswer: s, c, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 339176 - 96991. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-2\/11)*q**(-1\/11)*q)\/(q**(2\/7)\/(q\/(q*((q\/q**(-4\/7))\/q)\/q))))**(-21))**(-5\/4) assuming q is positive.\nAnswer: q**(1005\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*d + 3 + 3*d + 0*d**2 - 4*d**3 + 0*d**2 + d**2 to the form c + s*d + l*d**2 + j*d**3 and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -4*h - 25. Let w(i) = -7*i - 51. Let f(m) = -5*p(m) + 2*w(m). What are the prime factors of f(9)?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.761 - 0.961. Sort -1\/2, r, -0.14 in decreasing order.\nAnswer: -0.14, r, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 + 8*x**2 + x + 10. Suppose 2*p - 409 = 3*g, -2*p + 24 = -4*g - 388. Let z be 3*(p\/15)\/(-5). What is l(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0*(-1)\/(-3))\/1. Suppose -4*w - 44 + 248 = k. Suppose -3*s - 3*m + w = -0*m, 4*m = -s + 29. What is the remainder when 34 is divided by s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -456, -1766, -3926, -6936?\n\"Answer: -425*x**2 - 35*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -a**2*f**2*s + 2*a**2*f - 16*a**2*s**3 - 4*a*s + f**2*s**2 - 2*f**2*s + s**4 wrt s.\nAnswer: -96*a**2*s + 2*f**2 + 12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 36.30706419 to the nearest integer.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 343*b**2*w**3 + 99*b**2*w**2 + 191*b**2*w - w**3 + 455 wrt w.\nAnswer: 2058*b**2*w + 198*b**2 - 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -4 (b) 7 (c) 0.2 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 509, 0.16, -4, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fxffdmyxdmxjd. What is prob of sequence mfy?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06 - 7303459722?\nAnswer: -7303459722.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -6\/7 (b) 56 (c) 4\/5 (d) 5017 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 571104 and 749574.\nAnswer: 11993184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u + 5. Let w(j) = 8*j + 45. Let m(c) = -4*w(c) + 36*y(c). Let r(i) = -i**2 + 7*i - 2. Let s(l) = -m(l) + r(l). What is s(3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 - 18*v - 67. Let s be c(21). Let f be (-2593)\/(-143) + s + 1\/1. Let m = f - 158\/11. Is 0 at most m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 4 = 0, 2*l + 0*l - 2*y = -2. Suppose -5 = -5*a - 3*x + 3, 0 = a - 4*x + l. Calculate the least common multiple of a and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5442*i - 134771 - 8885 = -175 + 161271 for i.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32731 is divided by 10897?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 6156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 810\/(-75)*(-5 - 0). Let w = u - 45. Calculate the lowest common multiple of w and 2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3374?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40277 is divided by 1614?\nAnswer: 1541","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1377) - (2*(sqrt(1377) + -2) - sqrt(1377))) + sqrt(1377) + (-1 + sqrt(1377))*2 + 3*((-5 + sqrt(1377))**2 + sqrt(1377) + 2 - sqrt(1377)).\nAnswer: -243*sqrt(17) + 4214","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.2 + 0.21. Let o = -7683 - -7680. What is the second biggest value in a, 5, o, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 179738971?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -7252 (b) -3 (c) -331 (d) 3 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3223268 bigger than 3223184?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 11\/8 of a kilometer?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 254 divide 59708248?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/4)\/(u*u*u*u**4\/u*u))\/((u\/((u\/(u\/u**(-1))*u*u)\/u))\/u*u*u*u**(-1)) assuming u is positive.\nAnswer: u**(-33\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/954 and -65\/24.\nAnswer: 3816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 491445, 491436, 491423, 491406, 491385, 491360?\n\"Answer: -2*b**2 - 3*b + 491450","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, 14, 11, 5, -0.4?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106*z**2 + 12*z**2 + 5*z**2 + 87*z**2 + 4*z**2 + 0*z**2.\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 264107, 1056480, 2377105, 4225982?\nAnswer: 6603111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the third derivative of -8*x**5\/15 + 59*x**4\/2 - 44*x**3\/3 - 386*x**2. Factor i(t).\nAnswer: -4*(t - 22)*(8*t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a - 7*a - 4*p - 162 = 0, 0 = -5*a + 3*p + 793. Let l = -167 + a. What is the smallest value in -1\/9, 1\/2, l, 2\/5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -16 + (-6 - -4 - -9).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lpel when four letters picked without replacement from {p: 2, z: 3, l: 2, t: 2, e: 1, a: 2}?\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -10 + 4531721*x**2 - 4539130*x**2 + 11 + (0 + 0 + 2*x)*(2 - 2 + 2*x) as y + u*x**2 + i*x and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -5, -460, 0.5, 0?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1427*k**5 + 989*k**5 + 2410*k**5 + (-3*k**3 + 3*k**3 + k**5)*(-1 + 4 - 1) + 3*k**5 + 4*k**2 - 4*k**2.\nAnswer: 4831*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 14\/5 in -2.2, 0, 2\/13, 4\/9, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38909*g + 892136 = -1304430 - 2355787 for g.\nAnswer: 117","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -206, -410, -614, -818?\n\"Answer: -204*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from drrdddrdddrdr. Give prob of picking 1 d and 3 r.\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 - 20*z**2 - 13*z + 114. Let v be q(-19). Find the third derivative of -306*j**2 - j**6 + 0*j**4 - 11*j**2 + 0*j**6 + v*j**4 - 98*j**3 wrt j.\nAnswer: -120*j**3 - 588","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) -8\/3 (c) 0.1 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -400 (base 5) to base 13.\nAnswer: -79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 702?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2349 and 12296.\nAnswer: 995976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of -h**7\/2520 + h**6\/720 - h**5\/60 + 175*h**4\/6 + 64*h. Let t(r) be the third derivative of i(r). Calculate t(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 3*f**2 + 5*f - 3. What is the remainder when s(-8) is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -2) + -7 + (4 - 5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9\/7 in -2\/7, -3\/14, -3, 1\/207?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 665887253 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1\/408 - -4285\/408. Let a = 16533\/2 - 8806. Let l = a - -555. Find the common denominator of l and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-6 + 8 + 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*j + 13*j = -132. Let b be (15 - j)*(-2 - (-48)\/9). Sort -7, b, -4, 0 in ascending order.\nAnswer: -7, -4, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10033210120 (base 4) in base 7?\nAnswer: 12311662","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 4 - 0. Solve -n*x = -2*x - 2 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1064, -1098, -1242, -1568, -2148, -3054, -4358, -6132?\n\"Answer: -12*b**3 + 17*b**2 - b - 1068","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t**1*t))**50\/(t**(-12)*t\/(t*t**(-3\/5))) assuming t is positive.\nAnswer: t**(-193\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 431973 is divided by 1122.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 4 + 2. Suppose 4*o + t*p - 131 - 360 = 0, -o - 3*p + 134 = 0. Suppose 5*f = 11 + o. Is f a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 89652?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -25 + -3. Let g be 12\/v - 34\/(-14). What is the highest common factor of 58 and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23639 - -23657. What is the smallest value in 6, m, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6124?\nAnswer: 2, 1531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109*g = 122*g - 20813. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.6 times 16362\nAnswer: -9817.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.198224mg?\nAnswer: 198.224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 22*z + 13*z + 2*z - 2.\nAnswer: 37*z - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*p - 9*p + 19*p to a + v*p and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of t**8\/960 - t**7\/1260 - 7*t**4\/4 + 22*t. Let m(r) be the third derivative of q(r). Let m(b) = 0. Calculate b.\nAnswer: 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (21\/385 + (-48)\/(-88))*5. Let j(f) = f**2 - 5*f - 8. Let w be j(6). Let o be (-1)\/w*-2*-1. Solve -p - o = -d for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -5*m**2 - 11*m + 10. Let t(y) = -9*y**2 - 21*y + 19. Let q(c) = -6*t(c) + 11*z(c). Let u be q(5). Let g = u + 10. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 5:02 AM?\nAnswer: 7:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and -811?\nAnswer: 162.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 119 and 52717?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11204*c**2 + 12*c**3 - 19*c**3 - 11203*c**2.\nAnswer: -7*c**3 + c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1192127434?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 0*s = 27. Let c(w) be the third derivative of 101*w**4\/24 - 11*w**3\/3 + 20*w**2. Is c(s) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 4*h + 25 = 3*u, -u + 3 = -4*h. Let g(l) = -l**3 + 8*l**2 - 9*l + 9. Let s be g(u). Let q(b) = -17*b + 11. Is 9 a factor of q(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 + 5*f - 5. Determine r(-7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -310451 times 9?\nAnswer: -2794059","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 276*z**4 - 2*z**3 - 256?\nAnswer: 1104*z**3 - 6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + -20 + (12 - -23)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 7362.524 years?\nAnswer: 736.2524","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 326 - 699.4.\nAnswer: -373.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -30*r + 4. Let b(w) = -2 - 10*w - 5*w + 5 + 9 - 10. Give -11*b(y) + 6*f(y).\nAnswer: -15*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -3136553 (base 9) to base 4\nAnswer: -12121220322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 6*c**2. Let l(p) = 1744*p**2. Determine h(l(j)).\nAnswer: 18249216*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 + 5 - c**2 + (c + 0*c - 3*c)*(5*c - c - 2*c) + (-2*c - c + c)*(2*c - 1 + 1).\nAnswer: -9*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*g**3 + g + 162 + 2*g**2 - 165 - 8*g**3 to z + w*g**2 + p*g**3 + q*g and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -332 and 0.3?\nAnswer: -99.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -65555319289903.000113 - -65555408082139. Let v = s - 88792139. Let i = v + -97. What is i rounded to four decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10101 (base 2) to base 15.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = s + 1, 144*c = 150*c + 3*s + 33 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2448157 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/24*1\/(-3)*-1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y**(4\/5))\/((y\/(y\/y**(-7\/2)))\/y))**(-49))**(7\/4) assuming y is positive.\nAnswer: y**(-21609\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32236719?\nAnswer: 3, 29, 370537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/19 (b) -3\/7 (c) -1\/10 (d) 33\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/6334 and -44\/9.\nAnswer: 57006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 741631 and 132.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 26101 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-two fifths of a micrometer in nanometers?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand w - 2*w**4 - w + (w + 4 - 4)*(4*w**3 - w**3 - 2*w**3) - w**2 - 10*w - 618*w**3 + 619*w**3 - 2*w**4 + w**4.\nAnswer: -2*w**4 + w**3 - w**2 - 10*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((-3 - -1)\/8).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 AM and 6:31 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 177361, 354715, 532069?\n\"Answer: 177354*v + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m**3 - 3*m**3 + 6*m**3 + (-3*m**3 + m**3 + 0*m**3)*(-5 + 1 + 0) + 0*m**3 - 2*m**3 + 0*m**3.\nAnswer: 8*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - 1. Suppose 6*o - b*o = -32. Calculate the remainder when 67 is divided by ((-2)\/o)\/((-1)\/(-68)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (-3 + -3 + 2 - -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 36209*0.372\nAnswer: 13469.748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, 968, 2.\nAnswer: 2, 3, 5, 968","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6\/11? (a) -836 (b) 0.4 (c) 0.1 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -14*n - 15. Let w be r(-1). Let v = w - -73. What is the greatest common factor of v and 96?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-870)\/20)\/((-5)\/10).\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2322 != 797?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1344 - 38?\nAnswer: -1383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 113 - 59 - (19 - -6)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17*-1 + 56851\/3681.\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2867250 divided by 150?\nAnswer: -19115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 479327 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dyul when four letters picked without replacement from yuyabybdyydydddyauyl.\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**4\/b)\/((b*(b**(-2\/5)*b)\/b)\/b))\/(b**(-1)*(((((b\/(b**2*b))\/b)\/b)\/b)\/b)\/b*b)*(b*b*((b\/(b*b**(-2\/11)))\/b)\/b*b**(-1\/11))**(5\/3) assuming b is positive.\nAnswer: b**(1741\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 7 - 5. Let k = l - -17. What is the lowest common multiple of k and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 4*h**2. Let p(s) = -3541*s. What is n(p(c))?\nAnswer: 50154724*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/5, 2, -101, 34?\nAnswer: -101","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11902 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 46759 and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fffffrfffrffffr. Give prob of picking 2 f and 1 r.\nAnswer: 198\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 689 - 338 = -13*r + 338 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*1\/3 + (-45)\/(-27). Let v(q) = -9*q**2 - 3*q + 2. Calculate v(z).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 310644017 to the nearest integer?\nAnswer: 677","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 940?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 79.95, 1, -1?\nAnswer: 79.95","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -51*u + 11. Let c(f) = 103*f - 23. Let k(r) = 4*c(r) + 9*p(r). What are the prime factors of k(-2)?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**2 + 3*h + 32. Let r be z(7). Which is the closest to -0.2? (a) 0.02 (b) -2\/19 (c) r (d) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 + 19*w + 19. Let p be c(-17). Let n = -3 - p. Calculate the remainder when 46 is divided by n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5)\/1*(-10)\/25. Suppose 4*v - v - 3 = 3*g, v - 7 = -w*g. Solve 4*p + 18 + g = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.27 + 7.27. Let r = -3.02 + 0.02. Let h = r + 5. Which is the closest to h? (a) -4 (b) z (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the third derivative of n**4\/12 + 2*n**2. Let p be s(4). Let a be (0 + -1016000)*100\/p. What is a rounded to the nearest 1000000?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 42 - 42.2. What is the closest to x in 4, -3, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 37348122 and 6606?\nAnswer: 2202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(-9)*(-12)\/4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 148*j**3 + 225*j**2 - 444*j - 4. Determine d(2).\nAnswer: 1192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 284 smaller than 285?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-69 - 22 + 405)*(-g**2 + g**2 + 8*g**4).\nAnswer: 2512*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 7 + 10 = 4*o, 3*a - 1 = -5*o. Let r(q) = -q**2 + q**o - 3*q**2 + 2*q**2. Let x(n) = 4*n. Determine r(x(l)).\nAnswer: -16*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1627.1 - 1627. Let o = 1 + 38. Let p = 39 - o. Which is the closest to p? (a) -0.6 (b) -3\/2 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2470491?\nAnswer: 3, 17, 67, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the third derivative of -17*j**8\/336 - 2*j**7\/105 - 13*j**4\/3 + 170*j**2. What is the second derivative of h(g) wrt g?\nAnswer: -340*g**3 - 48*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence og when two letters picked without replacement from {o: 1, g: 4, r: 5}?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 101*n**5 + 236*n**2 + 1?\nAnswer: 6060*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 12054, 96430, 325444, 771414, 1506658?\n\"Answer: 12053*l**3 + l**2 + 2*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 1\/2, 1831\/7, -3\/106?\nAnswer: 1831\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 + r**2 + 2 - r**3 - 2*r + 3 - 3*r**2 + r**4 to the form a*r**4 + l*r**2 + d + w*r**3 + i*r and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 19441 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) 79 (c) -162 (d) 14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38367384 is divided by 239.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 2*f + 46 = 0, m - f = 30 - 9. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.1 (b) 232 (c) 0 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2186.0913 - -2186. What is k rounded to two decimal places?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1732.94 + 1716. Let s = 17 + m. What is the smallest value in -1\/3, s, 1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/4 of a second?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 - 15*n - 16. Let c be j(16). Let h(s) = c*s + 12 + s**2 + 0*s + 5*s. What is the remainder when 106 is divided by h(-8)?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2801.76 + -156821.\nAnswer: -159622.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than 70\/83?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5963100 divided by -6116?\nAnswer: -975","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 336896369 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Express -25*m - 34*m - 31*m in the form l + s*m and give s.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 104676?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 147 = -36*r + 40*r - d, -2*d - 78 = -2*r. Solve r*z - 17*z = -76 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/759 and -34\/1883.\nAnswer: 1429197","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 922434 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b - b**2 + 2*b)*(-4 + 6 - 3) + (1336 - 1336 + 699*b)*(1 - 1 + 2*b).\nAnswer: 1399*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 5*u - 983 = 102, -5*w - u = -1061. Let c = 338 - w. What are the prime factors of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.3 or 9284528?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -224 by 2.\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79 is divided by 42.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -23 (b) -1\/3 (c) 3 (d) -2\/3 (e) 3447\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - 18. Let k = -50\/3 - r. Sort k, -5, 5 in increasing order.\nAnswer: -5, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, 14\/11, -4\/5, 0.2?\nAnswer: 14\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1143669715 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m + 24. Let y be x(-15). Calculate the greatest common divisor of y and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2))**(-18)\/(((f**(2\/11)\/f)\/f)\/f**(2\/5)) assuming f is positive.\nAnswer: f**(2102\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 y when two letters picked without replacement from {g: 2, t: 2, y: 2, d: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 9 - 73. Let w = m + 22. Let r be 6 - (-147)\/(-84) - 1\/4 - 0. Solve 5*l = -4*i + w, r*l = -0*l + 2*i + 10 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 594\/(-36)*(-4)\/(-30)*5.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 189 + -191. Let r be (-2 - -1)\/(-1 + 5 - 5). Which is the biggest value? (a) n (b) -1 (c) -1\/2 (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bpw when three letters picked without replacement from wgqobpog?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - -111231200?\nAnswer: 111231203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*u - 16, -3*i - 17 = 2*u - 18 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 6*h**3 + h**2 - h - 1. Let r be j(-1). Let p = 8 + r. Suppose 4*a + 0*q + 8 = p*q, q = 2*a + 4. Sort 0.2, a, 4 in ascending order.\nAnswer: a, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92*l**3 + 576*l**3 + 1439*l**3.\nAnswer: 1923*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a millennium in centuries?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssusu. What is prob of picking 2 s?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 91 - 0?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of c**4\/12 + 13*c**3\/6 + 27*c**2\/2 - 19*c + 8. Let w = -12 - 2. Is u(w) a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -114, -149, -214, -315, -458, -649, -894, -1199?\n\"Answer: -w**3 - 9*w**2 - w - 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -2*p + 146, 0 = -p - 3*p + 5*q + 292. Let r = 0 - -2. Let n(y) = -y**r + p*y - 75*y - 1 + 0. Give n(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p**2 + 16*p + 30. Let o be -16 + 1 + 63 + -50. Give f(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1179*x - 629*x = 11550 for x.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -21*i**2 + 71*i - 133. What is h(2)?\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/55 and -109\/30.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 2*u - 100 = -3*u, -4*f + 80 = -5*u. Which is the second smallest value? (a) -0.1 (b) f (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 0 (b) 189 (c) 2 (d) 61\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -48, -17, 46, 147, 292, 487, 738, 1051?\nAnswer: 1432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 47 = -50. Which is the nearest to x? (a) -0.2 (b) 2 (c) 7 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 > -20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 132, -5, 4, 3, -93.\nAnswer: -93, -5, -1, 3, 4, 132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -89 * 2436\nAnswer: -216804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -5*n - 4. Let v be y(-7). Suppose -i = -2*i + v. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, j: 1, g: 1, i: 1, p: 2, q: 1}. Give prob of picking 1 g and 1 c.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 b when three letters picked without replacement from ajsjbjjs.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 3*b. Let m be q(0). Suppose 0*a = a - 11. Suppose 3*w - a = 2*w - 5*c, 3*w + c - 5 = 0. Solve -k - w = -m for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 2*c**2\/11 + 7212*c + 158656\/11 = 0.\nAnswer: -39664, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-12)\/(-15)*(-25)\/10. Let c(r) be the second derivative of -1\/6*r**4 - 3*r + 0*r**3 + 0*r**2 + 0. Let g(y) = 5*y**2. Calculate q*g(t) - 6*c(t).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 587859 or 587858?\nAnswer: 587859","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 571 - 571 - 70*s + (2*s + 2*s - s + 2*s - 1 + 1 + 2*s + s + 0*s + (0 + 2 + 0)*(3*s - 4*s - s))*(-1 + 1 - 2) to k + q*s and give q.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**2 + 3*t + 9. Calculate x(7).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/1899885 and -85\/364.\nAnswer: 53196780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1358?\nAnswer: 2, 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 66502?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72054 is divided by 764?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 4*l + 20 = 0, -s + 0 = 3*l - 15. Let u(j) = s - 4*j + 2*j + 4*j - j - 5. What is u(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 3*k**2 + 3*k - 5. What are the prime factors of x(-5)?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1598, -0.2, -1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-38)\/(-40) - 30\/40. Let y = 97 + -99. What is the closest to -2\/3 in i, y, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 13 = c, 5*d + c + 45 = -2*c. Let b be (9\/d)\/((-12)\/16). Suppose 5*u - 48 = 5*h - h, 4*h + b*u = -20. Is h < -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 + 5. Is (-92)\/w - (1 - 1) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(24) - sqrt(384))\/sqrt(12) + (sqrt(20)*-1)\/sqrt(10) + sqrt(2) - (-2 + 1*sqrt(2) + -4))**2.\nAnswer: -48*sqrt(2) + 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 PM and 9:14 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/25854 and 41\/200160?\nAnswer: 6204960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 194 + 1656402*k**2 - 3312766*k**2 + 1656362*k**2.\nAnswer: -2*k**2 + 194","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 22684991196 minus 21370?\nAnswer: 22684969826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2 - 11*t - 15. What is q(-6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 - 5*f + 6. Let g(n) = n - 1. Let i(p) = -2*p**2 + 3*p + 2. Let t(z) = 5*g(z) - i(z). Let s be t(-3). Determine w(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 4 - 6. Let k = 0 - h. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-98)\/(-245) - (-9)\/(-15)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111503331 (base 6) to base 5.\nAnswer: -1010431423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 700396 is divided by 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1964)\/(-44681))\/((-4)\/14)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 780657?\nAnswer: 3, 17, 15307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1\/4*c**2 + 21\/2 + 43\/4*c = 0. Calculate c.\nAnswer: -42, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-16)\/4)\/(-24))\/(-11*16\/(-2464)).\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 6:51 PM?\nAnswer: 3:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of (-12)\/(-1 + 4) + 2586?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -64198\/5 + 12757. Let k = -83 - v. Let h = 7 - 7.6. Put h, k, 3 in decreasing order.\nAnswer: 3, k, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -647, -1617, -2923, -4571, -6567?\nAnswer: -8917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/113 at least as big as 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48 is divided by 26?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3532\/(-2649))\/(96\/(-4680)).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3425, -3442, -3479, -3542, -3637?\n\"Answer: -c**3 - 4*c**2 + 2*c - 3422","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - (sqrt(7) + 4*(sqrt(7)*-2)**2)) + 5 + 2 + (sqrt(42) + sqrt(42) + sqrt(126)\/sqrt(3))\/sqrt(6).\nAnswer: -105 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) -15\/113 (c) -949 (d) 39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34445 (base 8) to base 10.\nAnswer: -14629","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 790 = -4*f. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -1119*x + 79452. Determine f(71).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n = 2*n + 260. Let b = -45 + n. Does 19 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2483 is divided by 2469?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (57\/76)\/(6\/16)*2 - (-125788)\/(-36816)?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.1, 0, 0.2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3 + (-196)\/5)\/2. Let i be (-3)\/(-2 + 5)*27. Let w = g - i. Find the common denominator of w and 41\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24.8 less than 631?\nAnswer: 655.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2 - 11*c - 21. Let a be m(-5). Let s be a*(-222)\/(-30)*(-10)\/(-6). Suppose -4*v - 11 = -s. What is the highest common divisor of v and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 39*k + 16*k + 330 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000005334158 rounded to seven dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of 8*k**3 - 24*k - 6. What is the derivative of m(y) wrt y?\nAnswer: 48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 296703961?\nAnswer: 296703961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together -174783749 and -19400.12.\nAnswer: -174803149.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1716\/(-297))\/(-52))\/(2*1\/42)?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -10016 + 5?\nAnswer: -10011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 121112 and 1543?\nAnswer: 119569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -2*n**2 + 19*n + 66. Let c be z(-3). Let j(d) = -d**3 - 9*d**2 - 3*d - 23. Determine j(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 53a70 + 4?\nAnswer: 53a74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -2*u - 12. Let f be 62\/(-10) + (-32)\/40. Let i be q(f). Is 21 a factor of (193 + -4)*i\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 4*v = 0, -5*t + 6*v - 26 = 8*v for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 2:28 AM?\nAnswer: 7:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -90*k - 20. Let g be p(-2). Suppose -g = -8*f + 3*f. What is the remainder when 159 is divided by f?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 13*t - 8 = 12*t, 5*w + t = 26. What is the least common multiple of (-54*(-3 + 6))\/(w\/(-3)) and 63?\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 0 - 3 + 0 + 5 + (2 - 3 + 2)*(6 - 2 - 3))*(-29*n - 44 + 44).\nAnswer: -58*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*h - 468 = -27*h + 65*h for h.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6483, 12418, 18353?\nAnswer: 24288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-2\/3)*o**3*o*((o\/(o**(-1\/6)\/o))\/o)\/o*o**(11\/3) assuming o is positive.\nAnswer: o**(43\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4 - (9 + -1) - -4. Let u be a - -4 - (2 + -3). Let c be (-24)\/(-60) - 7\/u. Let i(o) = 4*o**3 + 2*o**2 - 1. Determine i(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60 = -11699*j + 11722*j + 451 for j.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -1086759*c - 57. Calculate t(0).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-984)\/360)\/1*225\/15.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*q + 356*x = 352*x + 16, 2*q = -4*x + 16 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*c - 16*c = -24*c + 52*c + 2295 for c.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -463548.6 - -162789.\nAnswer: -300759.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2, -4, 1550, 15 in decreasing order.\nAnswer: 1550, 15, 5, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9755802 divided by -378.\nAnswer: -25809","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (18\/8)\/(3\/8). Suppose -3*z = -o*z - 3*c + 36, 14 = z + 3*c. Let d(b) = b**2 + 7*b + 6. Calculate the remainder when z is divided by d(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.3 (b) -0.3 (c) -102\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -38*z + 8304. Let j(c) = -7*c + 1662. Calculate 11*j(q) - 2*p(q).\nAnswer: -q + 1674","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 220212 + -142?\nAnswer: 220020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 801 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 2*u - 5. Let h be j(5). Let c = 38 + -54. Let q = 19 + c. Solve 8 = h*x + q for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - s - 16 = 0, 6*s = 4*s. Suppose 3*c - 4 = -2*x - c, -16 = -3*x + 4*c. Suppose -5*w + x*l = 12 + u, -w - 7 = 3*l. Put 1, w, 0 in increasing order.\nAnswer: w, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2267 divided by 8539?\nAnswer: -2267\/8539","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of -27*(-7)\/(-21) - (2 + -40166)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -12928*y**2 + 44*y - 3296. Let m be d(86). What is m rounded to the nearest one million?\nAnswer: -96000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -17764, -40945, -64128, -87313, -110500?\n\"Answer: -w**2 - 23178*w + 5415","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 193\/36 or 5?\nAnswer: 193\/36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -1, 2 in ascending order.\nAnswer: -12, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 285195 is divided by 63?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1395?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of x**4\/12 - x**3 - 2*x**2 - 7*x + 5. Let i = 19 + -10. Suppose -5*n - 16 = -i*n. Give z(n).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 486\/(-594)*3\/9?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -35*w + 127*w + 28*w + 25*w + 154*w to the form g*w + k and give g.\nAnswer: 299","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 2 = 3*p. Let k = -0.13 - -6.13. Let n = -8 + k. Which is the closest to 0.1? (a) 0.2 (b) n (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 3*o. Let p(x) = 15*x + 43360. Determine d(p(r)).\nAnswer: 45*r + 130080","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.4 (b) -13.4 (c) -3 (d) 19.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1 + 0.3. Suppose -25*r - 94 = -69. Is q < r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6175726 (base 8) to base 7\nAnswer: -16626366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -612 - -608.03. Let s = -0.29 + 0.26. Let p = s + l. What is the biggest value in p, -3\/7, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 4*x - 7 - 4, 0 = -3*x + 15. Let r = 2555 - 3896. Is 0 + (7 - c - r) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2 - 42*u + 1. Calculate t(-4).\nAnswer: 185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -24 + 23. Let n = -4 - -9. Sort -13, n, x in increasing order.\nAnswer: -13, x, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3 - 192*k**2 + 7725*k + 148526.\nAnswer: (k - 103)**2*(k + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -127 - 61?\nAnswer: -188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/9 - (-35)\/(-36). Let y = 8.5 - 9. What is the third biggest value in f, -2, y?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + x - 9 = -3*u, -x + 107 = 10*u + 53 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 44*g**3 + 204*g**2 + 540*g + 516. Let d(q) = -9*q**3 - 41*q**2 - 108*q - 103. Let v(x) = 24*d(x) + 5*u(x). What is y in v(y) = 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-9))\/(5\/(90\/84)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 2:30 PM?\nAnswer: 1:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001109713 to 7 decimal places.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/27 (b) 4 (c) -21612 (d) 2 (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-7) + (-390)\/(-91) + -593. Let o be 1125\/2*(-16)\/6. Let z = t - o. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 992353880 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzbbzgnnbzcnnszcbnbs. What is prob of sequence gsbc?\nAnswer: 1\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/7 (b) -0.48 (c) -265 (d) 0.2 (e) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 489110011, 489110008, 489110003, 489109996, 489109987?\nAnswer: 489109976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 519373891 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -9, 62, -11, -21 in ascending order.\nAnswer: -21, -11, -9, -3, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = 3*d - 50, -104006*d = -103981*d - 3*s + 92 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(2 - (-20)\/(-8)). What is the derivative of 3 + n**2 - o - 2 + 4*n**2 wrt n?\nAnswer: 10*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 63908273?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2795 to 2 dps.\nAnswer: -0.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.2, 5, 9, -0.2, 7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -10, -258, -47, 5 in decreasing order.\nAnswer: 5, 0, -10, -47, -258","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -81*b + 82*b + 5*f + 3, 0 = -f. Let t(n) = -4*n + 6. Let g(u) = 2*u - 1. Let i(j) = b*g(j) - t(j). Give i(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20287 - 19532. Calculate the highest common factor of v and 1812.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (7 - -828)\/(1*-1). Let m be s\/(-4) - -2*2\/16. Suppose 7*z + 11*z - 198 = 0. What is the greatest common divisor of z and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 437903*g**3 + g**2 + 61*g - 1765?\nAnswer: 2627418","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*s**3 + 4158*s**2 + 4232*s**2 + 45*s**3 + 56*s**3 - 12630*s**2 + 4240*s**2.\nAnswer: 94*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16500 and 175.\nAnswer: 115500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -3*x**5\/4 - 472353*x**4\/2 + 3*x**3\/2 + 472353*x**2 - 3*x\/4 - 472353\/2 = 0.\nAnswer: -314902, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 AM and 8:12 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = -2*o - 4*a, -6*a + 37 - 127 = -3*o. Factor 192\/5*g + 78\/5*g**o - 18\/5*g**3 - 72\/5.\nAnswer: -6*(g - 6)*(g + 2)*(3*g - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7949124, 15898247, 23847370, 31796493?\nAnswer: 39745616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s and 1 k when four letters picked without replacement from suiuxsksxsuxssuuusku?\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of h**4\/28 + 2956*h**3\/21 - 845*h**2\/2 + 2958*h\/7 + 11553. What is a in u(a) = 0?\nAnswer: -2958, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -3*k - 3*q, 2*q = 5*k - 69 + 4. Let x be (341\/(-2))\/k*5*-2. What is the greatest common factor of 124 and x?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25470567 to the nearest integer?\nAnswer: 5047","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2290878.1857271 - 2290878. Let s = h + 0.0042774. Let x = 0.19 - s. Round x to six decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of f**5 - 5*f**4 + 175435*f**2 - 1314328*f wrt f.\nAnswer: 20*f**3 - 60*f**2 + 350870","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (65\/65)\/(2\/(-10))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1200 and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 + 5. Suppose -2*b = 3*z - 7, 0 = 2*b - 2*z - 2*z + 14. Let p(o) = -o + 1. Let s(n) = -2*n + 8. Let j(v) = b*s(v) + 3*p(v). Give j(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s + 1. Let t(x) = x. Suppose -317 = -v + 31. Suppose v*m - 346*m - 14 = 0. Let a = 4 + -7. Give a*y(g) + m*t(g).\nAnswer: g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 639 + 7653. What are the prime factors of t?\nAnswer: 2, 3, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -3*d + 3. Let b be s(4). Let z(o) = -o**3 - 8*o**2 + 9*o - 4. Let j be z(b). Let w be (j\/2)\/(-3 - -2). Solve w = 4*l + 6 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -104*z**2 + 9*z + 16. Let m(w) = -150*w**2 + 13*w + 23. Let k(i) = -10*d(i) + 7*m(i). Give k(-2).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 7*w + 8. Let g be n(6). Let u be ((-30)\/g)\/(4\/5). Which is the nearest to u? (a) 1 (b) -4\/7 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.4085 and -5035.\nAnswer: -12126.7975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-62 - -2)\/((-4)\/18). Let y = 616 - 586. Calculate the highest common factor of y and x.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -3*v**3 - 3*v**2 + 5*v - 2. Let n(o) = o**3 + o**2 - o + 1. Let i(f) = -4*n(f) - w(f). Give i(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1883, 2, -15, -21, 3, -3 in increasing order.\nAnswer: -1883, -21, -15, -3, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -49*o - 1. Let f be h(-2). Let x = f - 66. Suppose -b = -3*g + 173, -8*b = -3*g - 3*b + 157. What is the remainder when g is divided by x?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) 5 (c) 0.402 (d) -1\/3 (e) -44 (f) -1 (g) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -159 + 151 = 8*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 5*z + 2 - 2*z**2 - 3 to k*z**2 + q*z + j and give q.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 q, and 1 d when three letters picked without replacement from {a: 2, d: 1, q: 3, i: 2, p: 5, z: 7}?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -165 in 0.07, -1\/4, 1\/7?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - 3. Suppose 11 = -3*m + o. Let s(q) be the first derivative of -q**2 - 2*q - 1234. Determine s(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1346005222.\nAnswer: 2, 673002611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/168*(42 - 6125\/140)?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-18*u**2 + 163*u - 163*u)*(-85 - 41*u + 85)*(5*u + 4 + 4*u - 10*u) to the form b*u + g + w*u**4 + r*u**3 + t*u**2 and give r.\nAnswer: 2952","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 - 0. Let n be (-114)\/120 - (-6)\/v. Let f(r) = 2*r**3 - 2*r**2 + 2*r - 1. Let h be f(1). Is h bigger than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 - 7*t**2 + 14*t - 4. Let f be v(4). Let a be -1*(1 + 0) - (f - 7). Let w be (-1)\/(a*(-4 + 164\/12)). Is w equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -5*z - 80. What is the second biggest value in 1\/5, 3, z?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 11*b + 6354 = 16*b, -4*b - 4214 = -2*k. What is the thousands digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/(z*z\/((z\/((z\/z**14)\/z))\/z)*z)))\/(z**(1\/2)*z*z*z))\/(z**(5\/3))**(2\/9) assuming z is positive.\nAnswer: z**(-803\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, q: 1, t: 4, f: 9}. What is prob of picking 1 q, 2 f, and 1 n?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 14d (base 14) in base 5?\nAnswer: 2030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((1 + -3)\/2)\/(14\/(-56)). Solve -g*a + 24 = 2*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - -8. Differentiate 0*l + y - 4*l + l - l wrt l.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -16 at least as big as -78?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -8*v + 5. Let x(a) = 3*a - 2. Let h(u) = -2*w(u) - 5*x(u). Let l be 4*3\/24*-2. Let i(k) = -k - 1. Calculate l*i(f) + 2*h(f).\nAnswer: 3*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-two fifths of a tonne in kilograms?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/341777 and 39\/8.\nAnswer: 2734216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vxx when three letters picked without replacement from vjjxrxxvvv?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/118)\/(16\/32)?\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 182917974.\nAnswer: 2, 3, 41, 613, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 21*f**2 + 6*f - 23. Calculate p(5).\nAnswer: 532","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -14 - 464?\nAnswer: -478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6 - 26\/4)\/(2\/(-4)). Let v = 36 + -32. Suppose -2 = -3*k - v*j, 5 = -3*k - j + o. Sort -3, k, 4, 2.\nAnswer: -3, k, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.01 + -2.01. Let l = n - 1. Suppose -d - 13 = -4*h, -2*d = -2*h + 1 + 7. What is the biggest value in 5, h, l?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-6)*r*(r*r**7\/r*r)\/r)**(-2\/9)*(r**(-4\/3)*r)\/r*r*r*((r*r*r**0)\/r)\/r*(r\/(r*r\/(r**0\/r)*r)*r)**31 assuming r is positive.\nAnswer: r**(-194\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -30.7 * -3896\nAnswer: 119607.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z**3 - 4*z**3 + 5*z**3)*(146 - 75 - 111) + 2*z**3 - 2*z**3 + 2*z**3 + (-z + 5*z - 5*z)*(-3*z**2 - z**2 + 3*z**2) + 3*z**3 - 2 + 2.\nAnswer: -34*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -8 - 5*m + 2*m**2 + 29 - 17. Suppose -10*p - 9 = -7*p. Let y be (p - -4) + -6 + 8. Determine r(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 3:11 AM?\nAnswer: 2:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 154 a factor of 6160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*h + h - 90 = 0. Suppose 58 = -34*m + 262. Solve m*l = h*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -88540921 divided by -3?\nAnswer: 88540921\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -211988430*b**4 + 159142490*b + 2?\nAnswer: -2543861160*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 2*p + 12, 5*v + 4*p - 46 = p. Suppose -73*k + 1585 = 3*k - 87. What is the remainder when k is divided by v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 96.959 decades to years.\nAnswer: 969.59","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 423*t*v**3 + 45*v**3 + 4*v**2 wrt t?\nAnswer: 423*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 8:33 PM?\nAnswer: 12:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.37 + 0.17. Let m = -3450 - -3472. What is the smallest value in m, z, 0.3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 6:48 PM?\nAnswer: 5:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 55998231*u**4 - 54541*u - 32?\nAnswer: 671978772*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of 0*a + 4\/9*a**4 + 7 - 28\/9*a**3 - a**2 - 1\/90*a**5. Suppose g(r) = 0. Calculate r.\nAnswer: 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.6, 1\/5, -3?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, z: 1, i: 1}. What is prob of picking 1 z and 1 r?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-166)\/(-7) + 4\/14. Let p = d + -8. What is the greatest common divisor of p and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33398885 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of -o**6\/120 - o**5\/12 - o**4\/8 + 2*o**3\/3 - 4*o**2. Let s be m(-4). Suppose -4*k - 8 + 100 = s. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1722 - 864 - 859 + 22*i.\nAnswer: 22*i - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, 13 in decreasing order.\nAnswer: 13, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 171\/(-6)*(-14)\/7. Let t = 88 - l. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -131*w**5*y + w**4 + 4*w**3*y**2 + 50*w**2*y**2 - 4*w*y**2 wrt w?\nAnswer: -7860*w**2*y + 24*w + 24*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 5 times 252066\nAnswer: 1260330","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -x**4\/2 + 485*x**3 + x**2\/2 - 485*x = 0?\nAnswer: -1, 0, 1, 970","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*c - 4*c + 2*c + (-1 - 3 + 1)*(-3*c + 3*c - 3*c)*(3 - 5 + 0) to the form r*c + b and give r.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 3 = -0*p - p, 5*p + 5*c - 5 = 0. Suppose 2 = -p*v, -u = -0*u - 2*v - 6. Suppose -u*q = -2*q. Solve -3*o + q*o - 5*g = -22, -o = -5*g + 26 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of v**4\/3 + v**3\/2 + 2*v + 494. Let m(z) = 11*z + 2. Give g(m(s)).\nAnswer: 484*s**2 + 209*s + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 4*o + 18, -14*o + 16 = 3*w - 12*o. List the prime factors of (3\/w)\/(3\/40).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -5*x - 65. Let b be g(-19). Suppose 0 = 2*v + v + 2*f - 3, -18 = -4*v + 2*f. Calculate the greatest common divisor of b and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 13824 and 13824 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-24)\/15)\/((24\/(-10))\/6). Is (-16)\/h - -7 - -2756 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.8333 + -0.1667. What is the nearest to 0 in r, 0.5, -2\/55, -1\/5?\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-1)*13\/(-26).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/(-12)*(-2 - 0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 + -21 + -7 + 5 + 0 + 0 + -5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3509\/6390 - -448\/355. Find the common denominator of -21\/250 and c.\nAnswer: 2250","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -29*z + 4553788 - 247781. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - 1)\/(1\/(-1)). Let w(j) = -j**2 - j + 5. Let x(i) = -i + 7. Let b be x(7). Let m be w(b). Calculate the highest common divisor of m and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22911527.98766 - -22910937. Let z = 591 + f. What is z rounded to three dps?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 m, and 1 j when three letters picked without replacement from yljliemy?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -349 - -211. Let j = 142 + h. Sort 0.2, 2\/7, 0.6, j.\nAnswer: 0.2, 2\/7, 0.6, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 414?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mkm when three letters picked without replacement from {m: 3, k: 1, g: 1, w: 3, o: 3}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 9*r - 5*r - r - 2. Give t(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from btggkbbtbbkg. What is prob of picking 1 g and 3 b?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0 (b) -4\/5 (c) 18 (d) 6 (e) 113 (f) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 + 12*l**2 + 12*l + 12. Let q be h(13). Which is greater: 2\/29 or q?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 218890 divided by -14\nAnswer: -15635","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15 - 10. Let b(x) = 2317*x - 7. Let n(j) = 10*j. Let y(h) = -b(h) + 231*n(h). Let o(p) = -1. Calculate a*o(l) + y(l).\nAnswer: -7*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12.4 - 12. Sort -4, 3, w, -1\/5 in decreasing order.\nAnswer: 3, w, -1\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2303642 divided by 22.\nAnswer: -104711","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -207172, -828555, -1864194, -3314089?\nAnswer: -5178240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 3*v**3 + 44*v**2 - 18*v - 37. Suppose 0 = -4*q + 7*q - 114. Calculate the remainder when q is divided by f(-15).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1398?\nAnswer: 2, 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -j - 2*w - 4, -2*j + 4*w - 56 = 0. Let f = 35 + j. Suppose 44 = -3*t - 3*r + 119, 3*t = 4*r + 103. What is the remainder when t is divided by f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/44*52\/(-12)*112\/182?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.2 + 0.2. Let o = -0.2 + j. Let v = -1123 - -1120. Which is the third biggest value? (a) o (b) v (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.7 - -0.5. Let j = g - -0.3. Suppose -2 + 6 = 4*z. Which is the second smallest value? (a) z (b) 3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 60 + -60. Let q = -5\/12 + 2\/3. What is the nearest to q in n, -1\/6, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8)\/24 + (-31)\/(-3). Suppose -4*p = c - 8, 3*p - 42 = -4*c - h. Suppose -i + c = -1. Is 9 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-4) - (-10)\/8. Suppose -19*k = -23*k + 12. Let m be (-12)\/k + 95\/15 + -2. Which is the closest to u? (a) -1\/6 (b) -2 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-3)*(-4887)\/36. Let t = 46 + y. Factor 0 + t*v**4 - 1\/4*v + 1\/4*v**2 + 5\/4*v**3.\nAnswer: v*(v + 1)**2*(3*v - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 368\/3*o**2 + 1\/3*o**4 - 123 - 370\/3*o + 370\/3*o**3.\nAnswer: (o - 1)*(o + 1)**2*(o + 369)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-44) - (151 - (-109500)\/(-440))?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a microgram in nanograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6014 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*o + 23*o = -18*o - 11074. What is the hundreds digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 32 = -2*i, -401*j = -402*j - 4*i - 85 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 916 is divided by 115.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1178*f = -1318*f + 2743*f - 1482 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8123954 is divided by 4103?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7*(-34 + (-214078)\/(-6293))?\nAnswer: 4\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwwzwkpwzpwpwk. What is prob of sequence zw?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5866461157 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000038996 rounded to six decimal places?\nAnswer: 0.000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -29045528955677\/8454 - -3435714340. Let n = -1\/1409 + u. Let h = 3048 + -15301\/5. Find the common denominator of h and n.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4931 is divided by 47.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*v - 70*v = -3008720. What are the prime factors of v?\nAnswer: 2, 5, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-62)\/(-22) + (-12)\/(-66). Let c be (24\/10)\/(5\/25). Suppose c = d + j. What is the greatest common divisor of d and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9927 < -9884?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-114)*19)\/(21 - 30232\/1440)?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/41 smaller than -33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 1*sqrt(3) + -1.\nAnswer: -2 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 3. Let l = 440 - 0. Let b = 3082\/7 - l. Which is bigger: a or b?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 6, d: 1, v: 1, u: 3, e: 6}. What is prob of picking 1 v, 1 o, and 1 d?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 divided by -5?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41292.\nAnswer: 2, 3, 31, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 0 + 0)*(-2*d - 3*d + 3*d) + (196 - 20*d - 196)*(0 - 4 + 1) + 12*d + 9*d + 13*d to t*d + o and give t.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4010 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 555062311 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*w**2 + 11*w**2 + 4*w**2 - 45*w - 22*w**2 + 4*w**2 - 2 as s*w + u*w**2 + j and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 6*s**3 + 29*s**2 + 25*s + 61. Let i(b) = 7*b**3 + 29*b**2 + 25*b + 60. Let v(o) = -5*i(o) + 6*n(o). List the prime factors of v(-28).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -95.93 - -97.93. What is the nearest to s in 0.4, -2, 1\/2, 0.3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4891 + -4905.535. Let v = 15 - 15.035. Let d = q - v. Round d to zero decimal places.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 + 7*j**2 - 15*j - 6. Let l be x(-9). Let a = l - -35. Is a\/(-3) + 18317\/39 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 + -7.7. Let b(o) = -o + 5. Let m be b(6). What is the third biggest value in -2, l, m?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 62?\nAnswer: 1\/62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2 + sqrt(11))*1 - sqrt(11)) + (1 + sqrt(44)\/sqrt(4) - sqrt(11)))**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*j**4 + 24*j**3 + 12*j**2.\nAnswer: 3*j**2*(j + 2)*(3*j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4826270*o**3 - 3*o - 173157592.\nAnswer: -14478810*o**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**4*u**6*u)**38 assuming u is positive.\nAnswer: u**152","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13201.\nAnswer: 43, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7 - 36*w**2 + 38 + 5 wrt w?\nAnswer: -72*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of 0*r + 1\/8*r**3 - 3\/64*r**4 + 0 + 1\/160*r**5 + 6*r**2. Factor i(b).\nAnswer: 3*(b - 2)*(b - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of -5*q**4\/12 + q**3\/3 + q**2 + 82*q. Let x(y) = y**3 - 6*y**2 + y - 4. Let d be x(6). Calculate h(d).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 515565, 515542, 515521, 515502, 515485?\n\"Answer: d**2 - 26*d + 515590","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3415*j + 2081*j = 2977*j + 5030*j + 840690 for j.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 288 + -209. What is the lowest common multiple of 10 and q?\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 231169 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 20*n - 56*n + 38*n. Let z(g) = 2*g + 6. Give z(u(m)).\nAnswer: 4*m + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p + 1. Let m(k) = 2. Let i(a) = m(a) - t(a). Suppose -5*r + 4 = -j, -3*j - 2*r - 487 = -509. Calculate i(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 - ((2 - 19) + 2). Suppose -4*s + 20 = -n. Is 8 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 458.6573 years in millennia?\nAnswer: 0.4586573","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 2\/5, 2\/383, 84, 2\/9, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of -67*s**4\/4 - s**3\/6 - 6*s + 39. Let h(o) be the second derivative of -o**4\/6 - 19*o. Determine l(h(c)).\nAnswer: -804*c**4 + 2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -27\/5 or -4?\nAnswer: -27\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -4c735c (base 14) in base 15?\nAnswer: -36ed7b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-32)\/(-264))\/(2\/9)\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/6)\/((-11)\/99). Let p(q) = 6*q + 6. Let m(g) = 0 + 8 + 7*g - 1. Determine s*p(z) - 5*m(z).\nAnswer: z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -820, -6527, -22024, -52207, -101972, -176215?\n\"Answer: -816*u**3 + u**2 + 2*u - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 539 and 1715.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1649*u**2 - 1644*u**2 + 3296*u**2.\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -29*o + 14. Let v(b) = 10*b - 5. Let a(c) = 3*c + 12. Let r be a(-6). Give r*u(i) - 17*v(i).\nAnswer: 4*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 39259*v. Let a(u) = -u**2. Give a(d(o)).\nAnswer: -1541269081*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 30729493 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 + 5*c**2 - 14*c - 12. Determine y(-6).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + -21?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1866 is divided by 99.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1540506951 divided by 1?\nAnswer: -1540506951","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 969764 is divided by 321.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000053932 rounded to 6 decimal places?\nAnswer: -0.000054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 60685430 to the nearest one million.\nAnswer: 61000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + j + 4 - 2 - 5*j + 2 - 3*j + 3*j - 2*j + (1 - 2 - 1)*(2*j + 3*j - 3*j) + j + 2 - 2 - j + 3*j + 0*j)*(3*j - 2*j + 4*j).\nAnswer: -35*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.335 + -0.665. Suppose 3*l = l + 8. What is the closest to g in l, 5\/3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/7, 4, -409, -1\/3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 173161383 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/(-90))\/((-42)\/35).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46065539, -92131079, -138196619, -184262159?\nAnswer: -230327699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 2*i - 8, 3*i + 5 - 17 = v. Solve -3*x + 8*x - 30 = 5*h, 8 = -4*x - i*h for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99579 is divided by 77.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 304278 divided by -7802.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142 is divided by 63?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 700 = 4*y. Let z = 140 - y. Let t be (-16)\/z - 60502\/(-5). What is t rounded to the nearest one thousand?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 126765?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 - 4*i - 11. Calculate h(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20.8401 - -18423.8599. Let n = 18446.700004 - h. Let g = -2 + n. What is g rounded to 6 decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3\/3620 + -21447\/329420. Let t = -393\/1820 - a. Let y = 71383\/14 + -5105. Calculate the common denominator of t and y.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 765\/(-306)*36\/10*(-2)\/(-4)?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h. Let x(g) = -2*g - 7*g + 14*g. Determine q(x(n)).\nAnswer: 5*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 9.4741mg?\nAnswer: 0.0094741","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 565417?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 103372*f - 103469*f - 9118 for f.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 0 - (-49 - -45)) + 3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 592\/5 - 18\/(-30). Let m = 3686 + -1782. Calculate the highest common factor of w and m.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4b092 - -346?\nAnswer: -4a948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -2*x. Let s(u) = -44*u + 1. Calculate s(p(k)).\nAnswer: 88*k + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18104 is divided by 65?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -2*(4 + sqrt(162)*-2 + (sqrt(162) - (-4*sqrt(162) + 3)))**2*2.\nAnswer: -5839 - 216*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2415 and 90.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11*l - 23*l + 13*l)*(-36 + 23 + 18) to y*l + v and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1132 = 9*a - 87707. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -511 + 511.076. Sort i, -0.5, 5 in decreasing order.\nAnswer: 5, i, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16*(-10 + 3 + 4 + 78\/24) + 83?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g and 1 a when four letters picked without replacement from agsggrqag?\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand s**2 - s**2 + 2*s**2 + (6*s - s - 3*s)*(s + 0*s + s) - 4*s**2 + 2*s - 2*s + (91*s**2 - 96*s**2 - 184*s**2)*(2 - 2 + 2).\nAnswer: -376*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133565 is divided by 32697.\nAnswer: 2777","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(4\/15))**(-2\/7))**22)**(-6\/13) assuming t is positive.\nAnswer: t**(352\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4183173038.\nAnswer: 2, 11, 19, 421, 2161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4407425?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 20 = -4*t, 2*t - 12 = -0*t + 2*z. Suppose 0 = t*f - 4*l - 16, -4*f + 3*l = -0*l - 12. Solve 5 = -2*m - k - f*k, -3*k - 14 = 5*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6568*y**5 + 51*y**2 - 12996*y - 106*y**2 + 55*y**2 + 1938*y**5 wrt y.\nAnswer: 170120*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2299) - (sqrt(2299) + 2)) + 0)**2 + (2*sqrt(2299) + sqrt(2299))*5.\nAnswer: 4 + 165*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*r - 194 + 111 = -125 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/13, -7, -1\/13, -0.4, -348, 0.2?\nAnswer: -348","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1673 a factor of 12073109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*2*-1*(sqrt(3) + 4*sqrt(27)\/sqrt(9) + sqrt(3) + sqrt(3) + sqrt(3) + sqrt(1458)\/sqrt(6) + -4)**2.\nAnswer: -8830 + 1360*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 86503?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*h + 24. Suppose 6 = 7*a - h*a. Sort 5, 2, a in decreasing order.\nAnswer: 5, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (1 + -1 - (13 + -14)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 10:54 PM?\nAnswer: 10:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1587457 * -498.\nAnswer: -79.0553586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 + r + 7. Suppose -5*z - 2 - 3 = 0. Let g be (z - -3)*2 - 4. Determine x(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1617 and 29238.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-63)\/24)\/7 - 812670\/(-80). Let d = -7248 + x. What is d rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of 10445760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, w: 11, l: 1, f: 1, r: 2, a: 4}. Give prob of picking 2 w.\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2278\/340 + (-3)\/(-10). Suppose 3*w - 8*w + 52 = i, -5*w + 46 = -2*i. Let n = w + -3. Calculate the greatest common factor of n and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r**4 + 135*r**3 - 1722*r**2 + 5940*r + 7800 = 0.\nAnswer: -1, 10, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -339095*i**2 + 59254 wrt i.\nAnswer: -678190*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*f*g**2 - 3*f*g*v + 369*f*g + 955*g**2*v + 2*g**2 wrt g?\nAnswer: 4*f + 1910*v + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 219470*l**4 + l**2 + 250*l - 333 wrt l?\nAnswer: 5267280*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 176 - 120 = -4*r, 2*r + 4*i - 158 = 0. Suppose r*q = 72*q - 3. Let g = -5.3 + 0.3. Which is the nearest to 0.1? (a) q (b) -6 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1427 - 1295 + 15*h + 2722.\nAnswer: 15*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -1760*q + 12. Let f(j) = -2*j**2 + 83*j. What is p(f(y))?\nAnswer: 3520*y**2 - 146080*y + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2612?\nAnswer: 2, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2\/3 + 1893286*u\/3 - 896132969449\/3.\nAnswer: -(u - 946643)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12)\/(-18) + (-49)\/(-3). Let j be (-1 + -5)\/(4\/(-34)). Calculate the greatest common divisor of j and g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 459*n + 369200 - 369200 + (2 + 1 - 2)*(0*n - 2*n - n) as z*n + x and give z.\nAnswer: 456","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1026*r - 2099*r - 781*r - 666*r**4 wrt r?\nAnswer: -7992*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7.6 + 3.6. Put -0.5, z, 5, 0 in decreasing order.\nAnswer: 5, 0, -0.5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1914 + -2005. What is the third biggest value in -2, q, -0.1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, c: 2, k: 4, j: 2, t: 1}. What is prob of sequence cc?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.5 - -3. Let i = 0.02 - 3.22. Let s = i - -3.3. Which is the second smallest value? (a) y (b) s (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 177061?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-196026)\/148)\/(3 - (-1305)\/(-430)).\nAnswer: 43, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 + 28*1 - -3. Suppose 3*r + 6 = 0, 4*r = 4*b - 0*b - j. Solve -b = -5*x - 0*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 0 + 2*m - 5*m + m - 8. Let j be v(-6). Calculate the highest common divisor of j and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of -o**5\/20 - o**4\/3 + 5*o**3\/6 - 7*o**2\/2 - 899*o + 5. Let c = 2 - 1. Let i be 1 - -2*(c - 4). Give w(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1205\/3 - -11837\/30. Let v = -4860 - -29249\/6. What is the common denominator of q and v?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0483 * -30\nAnswer: -1.449","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 183*u + 1673*u**2 - 363*u - u**3 + 980*u**2 + 179*u in the form i*u + x*u**3 + j*u**2 + h and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k + 5. Let r be z(-10). Let q(a) = 2*a - 9. List the prime factors of q(r).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 275\/150 - 1\/(-6). Let -112 + 52*m**2 - 60*m - 121*m**2 + 67*m**g = 0. Calculate m.\nAnswer: -28, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-11)*f)\/f)\/(f\/((f*f\/(f**(-2\/13)*f))\/f)) assuming f is positive.\nAnswer: f**(-141\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j - 11. Suppose -32 = 4*r + 24. Let w be n(r). Let y(c) = 1 + c - w + 0. What is y(0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or 206\/161?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 918756464 to the nearest integer?\nAnswer: 30311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5c + -1?\nAnswer: 5b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -29*f. Let c(a) = -2235*a + 7. Give c(g(i)).\nAnswer: 64815*i + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 53116 + -53104. Let q(o) = -2*o - 2. Let f be q(-6). Suppose -1 = b - m, -3*b + 2*b - 2*m = -8. Solve -b*i - 5*r - n = 0, -5*r = -4*i - f*r - 14 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 5, 28, 63, 110, 169?\n\"Answer: 6*h**2 + 5*h - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -965871 and 0.3?\nAnswer: -289761.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-21)\/(-2)*((-8)\/(-3))\/(-2). Let l be m\/8 + (-2)\/8. Let a(s) = 2*s**3 + s + 2. Let g(w) = w**2 - w - 1. Determine l*g(k) - a(k).\nAnswer: -2*k**3 - 2*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-6773)\/(-39075))\/(5\/(630\/91))\nAnswer: 6\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 538 - 545. Is (f - (-62325)\/20)*(-12)\/(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 11, u: 4, j: 3}. What is prob of picking 3 u?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -89 + (-31)\/((-3751)\/(-363))?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -115627, -115637, -115653, -115675, -115703, -115737, -115777?\nAnswer: -115823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 403 - -200?\nAnswer: 603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8.26, 0.0281, 0.031 in decreasing order.\nAnswer: 8.26, 0.031, 0.0281","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 4*l + 1. Let x(v) = v**2 - 9*v + 4. Let y be x(8). Let f be i(y). Let u be (-6)\/f - (-138)\/5. Calculate the highest common divisor of u and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s**(4\/7)*s*s**(-3\/2)\/s)\/(s**(-1\/4))**(1\/38)*((s\/(s*s*s\/((s**0*s)\/s*s)))\/s*s**1)**(-33) assuming s is positive.\nAnswer: s**(36259\/1064)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3229753 is divided by 26.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of -i**4\/6 - i**3\/6 + i**2 - i. Let c be f(-2). What is the units digit of ((-6)\/c)\/((-3)\/(-20))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -433*f - 658*f + 1097*f - 2*f**3. Determine v(4).\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 10:25 PM?\nAnswer: 3:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 46 in 1278, -0.4, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of x**4\/6 + 5*x**3\/3 + 11*x**2 - 2*x + 2562. Give i(-5).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -73*l + 6130 - 6130 + 75*l. Let o be (3\/(-6))\/(3\/(-36)). Let u(c) = -9*c**2 - o*c**2 + 0*c**2. Determine p(u(s)).\nAnswer: -30*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/25, 139, 2, -6, 1\/3 in descending order.\nAnswer: 139, 2, 1\/3, 2\/25, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 + 42*n**2 + 439*n + 20. What is g(-22)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 175707227?\nAnswer: 175707227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 8*u - 5859 = -21*u. Calculate the remainder when u is divided by 65.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -38 divided by 49029?\nAnswer: -38\/49029","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3 - -2)*-3 - (-3 - -138). Let r = 773 + v. What is the hundreds digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 2*b**2. Let v(p) be the third derivative of -p**4\/24 + 4*p**2. Let k(l) = 2*l**2 - 10*l. Let m(d) = k(d) - 10*v(d). Determine m(o(y)).\nAnswer: 8*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l - 18*l**2 + 31*l**2 + 4*l)*(-2*l - l**2 + 2*l) - 4*l**4 + 3*l**4 + 0*l**4.\nAnswer: -14*l**4 - l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of k**4 - 633702*k**3 + 15*k**2 + 2*k - 259.\nAnswer: 24*k - 3802212","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-9)\/24)\/(6\/4). Let n = 0.2 + 0.1. What is the closest to j in 2, 4\/5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 356433?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-1)*((-7)\/(-18))\/(-7)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 884 (base 16) to base 10\nAnswer: 2180","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19155505?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 227*u**2 - 3. Let z(h) = -2*h - 3*h + 6*h + 0*h + h. Calculate x(z(k)).\nAnswer: 908*k**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 - 16 - 5*b)*(0 + 0 - 2*b) + (-b + 5*b - 5*b)*(0 + 0 + 3*b).\nAnswer: 7*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1536 and 211047168?\nAnswer: 768","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 times 169117?\nAnswer: -5242627","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 52489 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -242, -921, -2032, -3575, -5550?\n\"Answer: -216*r**2 - 31*r + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2*(144\/(-28) + 40\/8). Let b(y) = -y**3 - 7*y**2 - 3*y + 7. Let q be b(-6). What is the nearest to w in 0.4, 5, q?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 + 110 = -48*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x**8*x)\/x)**5\/((x\/(x\/x**(-35)))\/((x*x\/(x*x**(-25\/4))*x)\/x)))**19 assuming x is positive.\nAnswer: x**(6631\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or -29108\/6445?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/2*4\/(-7). Let o be (-7 - (-2 - -2)) + 1. Let b be ((-3)\/o)\/((-2)\/4). Is v bigger than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-11)\/o)**35 assuming o is positive.\nAnswer: o**(-420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/(y\/(y\/(y\/((y\/(y*y**(-3\/10)*y))\/y*y))))*y)**1*(y\/y**(-8\/5))\/((y\/(y\/(y*y**(-7\/4))))\/y) assuming y is positive.\nAnswer: y**(113\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -22.4 plus 249?\nAnswer: 226.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mtmittoitommimm. What is prob of sequence om?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90*l + 1079 + 601 = -15*l. Let j(h) = h**3 + 18*h**2 + 30*h - 6. Calculate j(l).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3 + 6)*((-38)\/(-6) - 1). Suppose 0 = -10*q + 6*q + u. Suppose 160 = x - y, -q = -y + 2*y. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 33538381 to the nearest integer?\nAnswer: 5791","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 28, 227, 428, 625, 812, 983, 1132, 1253?\n\"Answer: -p**3 + 7*p**2 + 185*p - 163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 AM and 5:33 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -49221*g**2 - 33*g + 48. Let p be c(-16). What is p rounded to the nearest one million?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/143 or 14505.4?\nAnswer: -4\/143","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27 + -3 + -3 + -65 + 64.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 e when three letters picked without replacement from coooceccc.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1219 + -1180. What is the highest common factor of p and 2028?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2825 is divided by ((-296)\/16 + 8)\/(3\/(-8))?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1, 0.09, -0.16?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 10985?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 731127*t**3 - 365564*t**3 - 365538*t**3.\nAnswer: 25*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/(-5))\/((-68)\/10). What is the biggest value in 5, o, 1\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5186539?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6386315399 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 34 + -32. Suppose -g*b = -385 - 69. List the prime factors of b.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of 17*r**5\/20 - r**4\/6 - 2782*r. Let k(x) = -33*x**3 + 5*x**2. Give -2*k(l) - 5*z(l).\nAnswer: -19*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 20 + d**3 - 14 in the form k*d**2 + p + n*d**3 + q*d and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zizmzzjwiijizii. Give prob of sequence mzj.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -4 (b) -2 (c) -2\/7 (d) 4 (e) -0.2818\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 (base 14) in base 6?\nAnswer: 4422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 3 u when four letters picked without replacement from gguuuuuuuuu.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j + 4*r - 48, 0*r = -4*j + 3*r + 13. What is the smallest common multiple of (-1)\/(-2)*10*1 and j\/(0 - (0 + -1))?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 4*b + 60. Let t = b + 10. Let d be (4\/(-16))\/(t\/8). Is 2 not equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16464880.\nAnswer: 2, 5, 277, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7840?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 o when three letters picked without replacement from ggggvglvogggvovooogg?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (27\/(-45)*-2)\/((-4)\/10).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(468) - 2*sqrt(468)) - sqrt(468))*-1*1)**2.\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = -5*b - 3*o, 28*o - 18 = -84*b + 67*b + 33*o for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6\/((-16)\/120*25))\/(3\/(-70)). Solve 145*q = 138*q - i for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0516772591 rounded to 3 decimal places?\nAnswer: 0.052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 7*v**2 + 5*v + 12. What is the smallest common multiple of 15 and p(-2)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*b - 3 = -31*b - 9 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -99 + -69. Let x = m + 464. What are the prime factors of x?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1571550 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 2 - 2)*(-3 + 3 - p + (0*p - 2*p - p)*(2 - 1 - 3))*(-2*p**2 - 5 + 5) to u*p**3 + a + n*p**2 + s*p and give u.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-45)\/(-1485)*-1*6.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.465 - 0.035. Which is the third smallest value? (a) 14 (b) d (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 3*y + 38. Let a be h(-12). Let b = 9 + -6. Suppose 0 = q + 3*g - b, -3*q + 4*g = a*q - 34. Calculate the remainder when q is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 AM and 8:46 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13425*t - 65*t + 181*t.\nAnswer: 13541*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8584366ml to litres.\nAnswer: 0.0008584366","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l - 4*p = -13*l + 56757, 3*l + 5*p = 34032. Calculate the highest common factor of l and 468.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 AM and 9:57 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 138 and 816?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6.2 - 14.8. Let n = -21.4 - d. Let p = -0.8 - n. Which is the biggest value? (a) 3\/5 (b) p (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121351646 to the power of 1\/2, to the nearest integer?\nAnswer: 11016","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 401 - -3?\nAnswer: 404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from teyjv. What is prob of picking 1 e and 1 t?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 - -16. Suppose u*h = -5*w + 35, -6*w + 3*w - 4*h + 21 = 0. Solve 3*r = -3*k - 6, -k + 2*r - w = -2 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 649 (c) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 477 - 681. List the prime factors of i\/(-33) - 4\/22.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(84)*4 + sqrt(84)) - sqrt(84))\/(sqrt(135)\/sqrt(5) - (sqrt(3) + (sqrt(144)\/sqrt(3) - sqrt(3)))).\nAnswer: 22*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1, -2, -5, -857, -379?\nAnswer: -857","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -29*z + 77. Let v be j(7). Is -126 > v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(7\/6)*d**(-17) assuming d is positive.\nAnswer: d**(-95\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 15 = 3*k - 45, -3*k - 5*s = -62. Suppose -3*d + 84 = -0*d. Calculate the highest common factor of d and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 408 and 216?\nAnswer: 3672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/12 and -32\/621.\nAnswer: 2484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of -q**7\/7 - 47*q**6\/30 - q**3\/2 - 163*q**2 - 2227*q. Find the second derivative of x(l) wrt l.\nAnswer: -120*l**3 - 564*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3368149747 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 408023622 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 41 + 31 = 0. Suppose -4*z = -14 - 2. Suppose -t + 5 = z*t. Sort b, -3, t in increasing order.\nAnswer: -3, b, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 903.8382 to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 5\/3 (b) -14\/51 (c) -4\/3 (d) -5\/2 (e) 0 (f) -15 (g) 8\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, n: 2, a: 1, g: 4}. Give prob of picking 1 a, 1 g, and 1 n.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 48440 + -30645. What are the prime factors of x?\nAnswer: 5, 3559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + (-15 - -1) + 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**3 - 105*f**2 - 2343*f - 14399.\nAnswer: -(f + 11)*(f + 17)*(f + 77)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = q - 5, 5*q = 4*r - 2*r - 11. Let o be (45\/r)\/(1 + 0). Suppose 5*j - 4*y + 20 = y, 5*y = o. Are 0 and j nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24 - 8) + (-46 - (22 + -20)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 + 21*k**2 + 18*k + 96. Let j be f(22). Calculate the highest common factor of j and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 932, 1866, 2800?\n\"Answer: 934*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of -1\/12*g**5 + 0*g - 1\/120*g**6 + 3\/2*g**3 + 1\/6*g**4 + 0 + 9*g**2. Determine k(-6).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169*r + 1972 = 248*r - 29*r + 420 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -11485*m - 22963. Calculate f(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1819694387 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (0 + sqrt(3388))*-2 + (sqrt(3388) - (sqrt(3388) + 5)*-4) + -2 + 4)**2.\nAnswer: 3432*sqrt(7) + 31168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11.6 - 2.4. Let d = -9.19 + v. Which is the second biggest value? (a) d (b) 2\/9 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the third derivative of x**6\/120 - x**5\/15 - x**4\/2 + 7*x**3\/6 + 2*x**2 - 87*x. What is the remainder when j(6) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -462, -99, 1 in increasing order.\nAnswer: -462, -99, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 40492.29 micrograms in milligrams?\nAnswer: 40.49229","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 451879315 a multiple of 457?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18421 is divided by 879?\nAnswer: 841","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, f: 3, m: 6, s: 2, x: 6}. Give prob of picking 1 f and 1 x.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8154 + -8156. Let h = -0.264 + -0.036. What is the smallest value in h, 1, 121\/2, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*s - 3*w - 4, -5*s - 2*w = -12. Let a(y) = -4*y**2 + 3*y**s + 8*y**2. Calculate a(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1*(0 + (0 - -1)). Let o be ((-6)\/12)\/(v\/110). Calculate the greatest common factor of o and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/19)*q**(-1)\/q)\/(q**(7\/5)\/q*q*(q**(-1)*q)\/q) assuming q is positive.\nAnswer: q**(-223\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 n when three letters picked without replacement from {i: 2, n: 9, h: 1, l: 3, y: 2, t: 3}.\nAnswer: 9\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 s, and 1 o when three letters picked without replacement from {s: 5, o: 2, j: 5}?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 5*n + 10 = 4*c, 20 = 5*c. Suppose -5*p + 38 = -3*g, -2*p - n*g - 2 = -3*p. Solve -p = -5*f + 7*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2428107 divided by 3?\nAnswer: 809369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 14 and -0.185?\nAnswer: -2.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (9\/15 - 2)*(-48)\/504. Which is the second smallest value? (a) 13.2 (b) p (c) 2\/7 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101000101 - -101100110011001100?\nAnswer: 101100111000010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -6\/395 and -65\/632.\nAnswer: 3160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 140129028 by 323.\nAnswer: 433836","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -53 + 56. Solve 2 = c*k - 1 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/13 and 51\/325.\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 20*q + 1. Let v(w) = -51*w - 3. Let g(j) = 12*t(j) + 5*v(j). Let c(o) = -1. Give 3*c(h) - g(h).\nAnswer: 15*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 928 (b) -1\/6 (c) 0.4 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 374 + -379. What is the second biggest value in 1, -6\/7, -2, q?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 37 + -37. Suppose 3*r + r + x = -4, -4*r - 5*x + 12 = 0. Let o be (r\/(-10))\/((-7)\/(-14)). What is the third biggest value in 2\/9, n, o?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1059 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-34)\/17*(-2)\/(-30)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 69\/992 and 61\/64.\nAnswer: 1984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -25991.232 + 25895. Let n = -95 - v. What is n rounded to 2 dps?\nAnswer: 1.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oooo when four letters picked without replacement from ooooooooo?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 - 12*y**2 - 15*y + 208. Let l be z(12). Solve -l*r - 30 = 54 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 - 8*x**2 - 10*x - 9. Let r be b(-8). Let f = 390 + -292. Suppose -3*w = 2*i - f, 2*w = -2*i - 7 + r. What are the prime factors of w?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 - 4*t**2 - 5*t - 2. Let z be o(-3). Solve -2*d - 6*c - z = -c, -d = -3*c + 2 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90521511600 rounded to the nearest 1000000?\nAnswer: 90522000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -111087 - 4?\nAnswer: -11108b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g - 11. Let m be c(14). Let n(w) = m + 3 - 2 - 3 + 2*w**2. Give n(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t**4 + 12*t**3 + 3*t**2 + 144*t - 2*t**5 + 12 - 106*t - t**2 + 38*t**2 = 0 for t.\nAnswer: -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -25 + 482*v**3 - 6*v**2 + 74 + 2*v**4 - 47 + 4*v**2 as t + o*v**4 + q*v + i*v**3 + b*v**2 and give i.\nAnswer: 482","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (0 + 13 + -8 - -2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 435?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(102) - 1*sqrt(102) - sqrt(102))*-2 - sqrt(102)) + (sqrt(102) - (sqrt(102) - (sqrt(102) + sqrt(102)*3)))*6)\/(sqrt(216)\/(1*sqrt(4)*1)).\nAnswer: 25*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24 + (-8 - -10) + 12?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -q + 1. Calculate the remainder when 13 is divided by (-2)\/q + (-290)\/(-40).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-171)\/(-4) + (-1191)\/794*(-3)\/18?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2 - t - 1. Let n(s) = s**2 + 34*s - 5. What is 4*j(a) - n(a)?\nAnswer: 3*a**2 - 38*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 8*t + 1. Let k(x) = -11*x**2. Give m(k(d)).\nAnswer: -88*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*x**3 - 3*x**3 + 2*x**3)*(-7092 - 6807 + 13526) - x**3 + 5*x**2 - 5*x**2 to s*x**2 + a*x + u*x**3 + t and give u.\nAnswer: -747","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.0351*-4\nAnswer: -0.1404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.455 + -0.275. Let o = 3.18 - g. Let k = 0.2 - 2.2. Which is smaller: o or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1736044 (base 8) to base 4.\nAnswer: -1323300210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cmmmcmcmmcccm. Give prob of picking 2 c and 1 m.\nAnswer: 105\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -3119235.7 to the nearest 100000.\nAnswer: -3100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + -35?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -47.7911*-4\nAnswer: 191.1644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -228, 327, 1574, 3513, 6144?\n\"Answer: 346*h**2 - 483*h - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -45*a - 41*a + 109*a - 690. Solve 0 = -4*t + x - 15, -2*x = t + 3*x + a for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 68551510*n**3 + 50142913 wrt n.\nAnswer: 205654530*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*k - 54*k - 283 = 131 for k.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 18*w**2 - w + 1. Let u(o) = -123*o**2 - 5*o - 15. Determine 7*m(n) + u(n).\nAnswer: 3*n**2 - 12*n - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 28231370 a multiple of 410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 32\/3, -0.5, -0.1, -0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 15*s**5\/2 + 457*s**4 + 1667*s**3\/2 - 1292*s**2 + 354*s = 0.\nAnswer: -59, -3, 0, 2\/5, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 6*v + 72. What is the lowest common multiple of 22 and v?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 + 4. Let w be k(0). Let b = 149312 - 149311.7. What is the closest to -2 in w, 0, b, -11\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 6 - 4)*(-5*i + 5*i + i) + 4*i - 2*i - 4*i.\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of -c**7\/5460 - c**6\/2340 + c**5\/780 + c**4\/156 - 5*c**3\/3 + 1. Let q(i) be the third derivative of n(i). Factor q(z).\nAnswer: -2*(z - 1)*(z + 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of -2*s**2 + s - 3384. Let b(t) = -t + 43. Calculate q(b(d)).\nAnswer: 4*d - 171","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2 + 29*j + 785. Let t be z(-17). Sort -4, -131, 5, t, -5 in descending order.\nAnswer: 5, t, -4, -5, -131","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of -31*a**6\/1200 - a**5\/10 - 9*a**4\/80 + a**3\/30 + 20*a**2 + 7*a. Let y(l) be the first derivative of s(l). Factor y(r).\nAnswer: -(r + 1)**2*(31*r - 2)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -22839, -22834, -22829, -22824?\n\"Answer: 5*j - 22844","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 a factor of 14579681?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -43*s - 23 - 321 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 17887 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 91836 to the power of 1\/3, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (-3*sqrt(13) - sqrt(13) - sqrt(13)) - (2 + -1 + sqrt(13)))**2.\nAnswer: -48*sqrt(13) + 484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) 1 (c) -6037 (d) -1\/8 (e) 2\/3 (f) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 426\/4460339?\nAnswer: 426\/4460339","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a century in months?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 10*j**3 - 466*j**2 - 8787*j + 37. What is u(61)?\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/12)\/(4*(-7)\/(-420))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jluap. What is prob of picking 1 l, 1 a, and 1 u?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.04 - -0.13. Let q = g + -1.09. Let l = q - -1. Which is the closest to -2\/5? (a) -1 (b) l (c) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130351601 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that m**5\/9 - 4*m**4 + 38*m**3 - 36*m**2 - 567*m = 0.\nAnswer: -3, 0, 9, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 128 = -m. Suppose m + 4 = 2*y. What is the highest common factor of 6 and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lppl when four letters picked without replacement from qpllqllppllllll?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82*f**3 - 33*f**3 - 87*f**3.\nAnswer: -202*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -0*y - 15. Suppose -5*g + y*l = 6*l - 116, -3*g = 2*l - 70. List the prime factors of g.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, -6, 0, 2, 4637, 1 in ascending order.\nAnswer: -6, -2, 0, 1, 2, 4, 4637","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 305 - 303. Put 70, -5, b in increasing order.\nAnswer: -5, b, 70","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -482*h + 899*h - 6672 for h.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*f + 16*f + 5*h - 9 = 0, 2*f - 12 = -5*h for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -656 (b) 28 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 - -26\/3. Let j be (-62)\/(-36) + 6\/(-4). What is the smallest value in j, l, 0.2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -85 - -119. Calculate the highest common factor of 136 and s.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 2\/9*g**3 + 44\/3*g**2 + 242*g.\nAnswer: 2*g*(g + 33)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 310 - 53?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 1437252?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 1.1 (c) 325\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/63*2*-45*(-38)\/2660.\nAnswer: 1\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 173067246?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1.07 and 254.\nAnswer: 252.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24684 and 1734?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (1973906\/(-24440) - -76) + 3\/20?\nAnswer: -60\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 AM and 3:45 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5878427*h**4 + 2187580*h wrt h.\nAnswer: 70541124*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 196, 703, 1548, 2731, 4252?\n\"Answer: 169*d**2 + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 + 1. Let k(p) = p**2 + 13*p - 10. Let m be k(-14). Let d(a) = a**3 + 4*a**2 + 4. Give m*c(l) - d(l).\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.163 + -0.837. Let n be 62\/(-465)*((-4)\/(-6) - -1). What is the closest to s in 2, -9, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 32784769 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 14252, 117839, 400058, 950225, 1857656, 3211667, 5101574?\n\"Answer: 14886*w**3 - 615*w - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 2*n - 3. Let v be y(7). Let b = v - 6. Find the third derivative of 4*s**6 + b*s**6 - 7*s**6 + 3*s**6 + 3*s**2 wrt s.\nAnswer: 600*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*o**3 - 24*o**4 - 39*o + 40*o + 3*o**3 - 2*o**3 to the form t + l*o**3 + q*o**4 + k*o**2 + z*o and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 0*d - 25 = 3*d, 0 = 3*q - 4*d - 24. Let b be 0\/(3 - (q - 2)). Suppose 5*c = -5, b = 3*z + 2*z + 5*c - 5. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + -3. Let l = 0.435 - 0.335. Which is the third smallest value? (a) t (b) l (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 - 8*p**2 - 9*p + 5. Let v be g(9). Solve -3*n + 2*k + 17 = 0, v*n - 5*k - 14 - 21 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 38*n**4 + 29*n**3 + 56*n**2 + 41*n**2 - 35*n**4 wrt n.\nAnswer: 72*n + 174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, t: 1, b: 2, j: 2, h: 1, f: 1}. Give prob of sequence fg.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (379\/(-2))\/(2\/(-4)). Suppose 2*g - h = 138 + r, -4*g + h + 1035 = 0. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.06 - -121360174446.\nAnswer: 121360174445.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 197946 and 194804?\nAnswer: 3142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -62, -126, -252, -470, -810?\nAnswer: -1302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-3 + sqrt(300)).\nAnswer: -6 + 20*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6184436*o + 8586951.\nAnswer: 6184436","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 - 12*v**2 - 11*v - 25. Let m be d(13). What are the prime factors of (-5 - -9)*46\/m?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x*x**(1\/3)*x)\/x*x)\/x*x*x\/x**0*x)\/((x**(-15)\/x)\/x**(1\/14)) assuming x is positive.\nAnswer: x**(899\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 448 divided by -3128.\nAnswer: -56\/391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/((-16)\/4) - -1. Let a = 4 - f. Let v(d) be the third derivative of -d**4\/12 - 2*d**3\/3 - d**2. What is v(a)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 675235 + 148.1\nAnswer: 675383.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17341 - -17418. What is the highest common divisor of z and 17787?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -3.1. Let a = 4.1 - y. Let z = 5 - a. What is the nearest to 0.1 in 2, -4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a meter in millimeters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2 - 3*l - 2. Let b be a(4). Suppose -4*u - b*r - 488 = -9*u, 0 = -3*u - 3*r + 276. Is u a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*m - 3. Let a(d) = -4*d + 19. Let n be a(4). Suppose 2*z + 5 = s, n*z + 20 = -0*z + 4*s. Solve z = -t + m + 1 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -193\/2100 and 31\/1540?\nAnswer: 23100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -931\/2 or 22428?\nAnswer: 22428","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.5 - 2.5. Which is the third biggest value? (a) -5 (b) 1\/2 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 261*m + 986 = 232*m for m.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 5*x + 3 = o, 5*x - 9 = -3*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/105)\/((-2)\/14).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 1 + s + 0*s**2 + 5*s**2 + 2*s - 4*s**2. Let x be b(-2). Let o(k) = 97*k**2. Is o(x) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -228*u - 168. Is 8 a factor of p(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.99627046 to three decimal places.\nAnswer: -6.996","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/((-42)\/14))\/(-4).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1 and 437843.\nAnswer: 437843","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6670 and 116?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9825, -9823, -9821?\nAnswer: -9819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 211997 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11421 is divided by 42.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 149, -6, -0.1, -5, -83 in decreasing order.\nAnswer: 149, -0.1, -5, -6, -83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144428 = -1499*d - 130937 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 730?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -7463100 rounded to the nearest 10000?\nAnswer: -7460000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 152916.\nAnswer: 2, 3, 12743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1404 a multiple of 161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 488 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -0.2, -2\/119, -3419, 1\/6, -2\/15?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 - (0\/(-2) - -1). What are the prime factors of 15*(l + 3)\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**2 - 4*z - 1. Calculate b(-6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -149*r = -156*r + 210. What is the smallest common multiple of r and 96?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 11*j = -12*j - 40, 5*s + j = 40. Let v be -1*(-6)\/(-24) + 34\/s. Solve -8 = -5*h - t, 0 = -2*h + h - v*t - 6 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 80.6 - 81. Suppose -3*w + 1 = 13. What is the closest to a in -0.3, w, -0.1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 487 is divided by 62?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 330 is divided by 153.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 4278887?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 18*v - 11*v - 4*v - 4*v. Let g(m) = -4*m. Let s(i) = i. Let x(k) = 2*g(k) + 11*s(k). What is x(f(y))?\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*w = 10*v - 72*w - 85, 8*w - 3*w = 4*v - 67 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-11) + 6738\/33. Suppose 0 = -8*m + 5*m + r. Calculate the remainder when m is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, -5, 423, 3, -2 in increasing order.\nAnswer: -19, -5, -2, 3, 423","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -1\/7*v**2 + 6\/7*v - 5\/7 = 0.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -83944520*n**6 - 2497*n**2 - 20715*n?\nAnswer: -10073342400*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(468) + -5.\nAnswer: -5 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36 divided by -5803231.\nAnswer: -36\/5803231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 13279896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*p - 28*p = -48*p - 8. Which is the third smallest value? (a) -3\/22 (b) 6 (c) p (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -29*z**2 + 6. Let k(x) = -28*x**2 + 7. What is 6*k(o) - 7*m(o)?\nAnswer: 35*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/8)\/((-33)\/330)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2556 by -4.\nAnswer: -639","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -297*h**2 - 2*h**3 - 12*h + 5*h**3 - 3*h**3 + 302*h**2 + 91*h**4 wrt h.\nAnswer: 2184*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.63135 litres in millilitres?\nAnswer: 32631.35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(54)\/sqrt(2)*1)\/(5*sqrt(225)).\nAnswer: sqrt(3)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -3*f**2\/5 + 7515975*f = 0.\nAnswer: 0, 12526625","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (77\/(-3))\/(18898\/(-41232)).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 382623*a**2*f**2 - 19*a**2 + 2*f**2 - 32024*f - 48 with respect to a.\nAnswer: 765246*a*f**2 - 38*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38927.\nAnswer: 7, 67, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/10978572 and 29\/2904?\nAnswer: 21957144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.3, -3.58, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 236 - 74. Suppose -9*n + 6*n + g = 0. Calculate the remainder when n is divided by 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.778661 months in centuries?\nAnswer: 0.0114822175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - -116?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -5*c + 63, -676*w - 45 = -4*c - 677*w. Let i = 6 + -4. Find the second derivative of 14*k - i + 2 + c*k - 6*k**4 wrt k.\nAnswer: -72*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 - 11*v**2 + 35*v - 33. What are the prime factors of x(16)?\nAnswer: 13, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -43 + 208. Let q = g - 126. Let c = q - 28. Which is smaller: c or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -8*h - 158. Suppose 0 = -16*g - 83 - 269. Let k be b(g). Solve -a = -5*v, -5*a - k - 4 = -3*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -79*y**3 - 355*y**2 + 432*y**3 + 70*y**2 wrt y?\nAnswer: 2118","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of x**5\/20 + x**4\/4 + x**2 - 5*x. Let t be s(-3). Is 6 a factor of (3*t)\/((-10)\/(-30))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 4*g. Let d be (-3)\/((-54)\/1794) - 6\/9. Let v(i) = -324*i + 99. Let x(l) = 13*l - 4. Let z(k) = d*x(k) + 4*v(k). Give z(s(b)).\nAnswer: -36*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 6 = -90. Let r be u\/2*2\/3. Solve 4*j + 13 + r = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w - 16 = 3*w. Suppose -4*j + 2 + 6 = 0. Let q(m) = 9*m + w*m**2 - 3*m**j - 4*m + 0*m**2. Calculate q(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 753.8 at least 4\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do 49 and 599\/12 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 62155?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-224)\/(-60))\/2 + (-1 - 1). Which is the second smallest value? (a) -4 (b) -5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((sqrt(363) - (sqrt(363) + sqrt(363)*-2 + 3)) + (-2 + sqrt(363))*-4)*1)**2.\nAnswer: -660*sqrt(3) + 4431","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 136 a factor of (13 - 6557\/(-3))*6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 54480 and 41995?\nAnswer: 1135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 33111*t**2 - 77*t + 17. Let m(g) = -2*g. Give w(m(y)).\nAnswer: 132444*y**2 + 154*y + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffff when four letters picked without replacement from fffff.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 4.153 times -41\nAnswer: -170.273","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 631910208?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - ((5 - -5) + 1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3*(1 + 2)\/3 - -665. Suppose -5*c - s = -m, -s - 3 = -0*s. What is the remainder when c is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of 8*w**3 - 3 + 12\/5*w**5 + 0*w + 13\/2*w**4 + 4*w**2 + 1\/3*w**6. Let f(z) = 0. What is z?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -149 + 35. Let z = y + 48. Calculate the greatest common divisor of z and 65.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 PM and 8:42 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -7*c + 11. Suppose -3*o = c*o + 270. Let h = 63 + o. Is h a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1ec - -4?\nAnswer: -1e8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6069 is divided by 820.\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -317 (b) -1\/15 (c) 21.2 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - u - 497 = 5*h, 4*h = 3*u - 409. Let v = -104 - h. Let z(j) = 2*j + 2. Calculate z(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31 is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 + 5*x**2 - 2*x + 4. Suppose -2*b = -c + 6, 4*c - 3*c = 3*b + 11. Let g = b - -10. Let o be j(g). Sort 2, o, 5 in increasing order.\nAnswer: o, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -211*w**2 - 609*w + 302*w + 307*w. Let l(t) = -t. Calculate l(i(q)).\nAnswer: 211*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -50*w + 28. Let v be b(-6). Suppose 14*n - 12*n = v. Suppose -n - 172 = -8*m. Does 14 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 5*k**2 + 13*k + 8. What is the hundreds digit of f(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15 - -17. Let g(q) = q**3 - q - 2. Let v be g(l). Find the first derivative of -6*d**2 + d**2 - v - d**2 wrt d.\nAnswer: -12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23049?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*r**5 - 365*r**4 + 1410*r**3 - 2500*r**2 + 1960*r - 480 = 0.\nAnswer: 3\/7, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g - 1. Let k(x) be the second derivative of x**4\/12 + x**3\/2 + 3*x**2 - 255*x - 6. Give -k(h) - 3*m(h).\nAnswer: -h**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6 + 102\/12)\/(200\/120) - 0. Let l be ((-3)\/2)\/(2\/4). Let h = l - -8. Which is the third smallest value? (a) 2 (b) 1\/3 (c) h (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/35*(-14)\/4*(-3)\/((-18)\/56)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o - 2*w + 10, -2 + 21 = -o + 5*w. Let u(n) = -n**3 - 16*n**2 + 16*n - 6. Let t be u(-17). Let l(h) = -3*h + 4*h + 1 - t*h - 2*h. Give l(o).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -54 - -66. Suppose 0 = -3*x - g, 5*a - 2*x - 3391 = -3*x. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -37 + 20. Let f = 30 + x. Is 13 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3*(12 + (-204095)\/(-15)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22581 to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 - 15*h**2 - 7*h + 159. Calculate p(-10).\nAnswer: -271","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -31, -13, 39, 143, 317?\n\"Answer: 3*y**3 - y**2 - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of -14 + 0*q**5 + 1\/6*q**6 - 11\/2*q**2 + 2*q + 0*q**4 + 0*q**3. Find the second derivative of f(p) wrt p.\nAnswer: 20*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 3*m = 0. Let z(p) = 2*p**2 - 22*p + 15. Let n be z(11). Let d = n - 11. Solve m = j + j + d for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = -5*h + 2*h. Let f = -819 + 827. What is the highest common divisor of f and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18 + 48. Suppose -483 = 4*b - 511. Suppose -a + b = 5*l + 6, a - l = 7. What is the greatest common factor of a and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16667516*b**4 + 2*b - 155256?\nAnswer: -200010192*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u**(1\/2))\/u*u)\/(u*u**0\/u*u))\/(u\/(u\/((u**(1\/4)\/u)\/u*u)*u)*u*u**(-5)*u)*u\/(u*u**(-9))*(u*u\/u**0*u)\/u*(u**2)**39 assuming u is positive.\nAnswer: u**(377\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/2 and 1\/(-22)*10*-7?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-175)\/10*(-3)\/(-21)*(-24)\/15?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 95?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 2*o + 2*t - 12, -t - 60 = -4*o. Let c = o + -9. Suppose 3*b - 5 = -2*y + 30, 0 = 2*y - c*b + 5. Is 5 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 4*y = 2*l - 265, -3*l - 5*y = -263. What are the prime factors of l?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p - 1. Let j be b(-3). Let v = -0.126 + -0.074. What is the nearest to -2\/9 in -2, v, j?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 686741989?\nAnswer: 5351, 128339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-5)*(7 + -8). Let l be (-6 + 0)*(-10)\/15. Let n = -4 - -2. Which is the closest to 0? (a) l (b) u (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10708 + 10708.1. Sort a, 2\/5, -10\/11 in ascending order.\nAnswer: -10\/11, a, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3626 - -7661. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 2*s**2 + 137*s + 1428. Determine q(-13).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 0.5 (b) 0.23 (c) 0.1 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 54\/2233 and 47\/6380.\nAnswer: 44660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 18*z**2 + 450*z + 2660. What is q(-6)?\nAnswer: 608","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 528 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) 103309.56 (b) 2\/7 (c) 2\/5 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 676778 is divided by 676660.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of u**5\/60 + u**4\/24 - u**3\/6 - u**2. Let p = -1 - -5. Let z(g) = 7*g**2 + 0*g - 6 - p*g + 10*g. What is -5*d(b) + z(b)?\nAnswer: 2*b**2 + b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133)*-2*-1 - sqrt(133)*2*-4)\/(sqrt(21)\/(sqrt(12) + sqrt(3) - sqrt(3)) + -3*(sqrt(7) - sqrt(28)\/sqrt(4))).\nAnswer: 20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 + 18\/(-4))\/((-9)\/18). Suppose 10*s + 5*y = c*s + 10, -5*s + 5*y = 0. What is the lowest common multiple of s and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1010 is divided by 52?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 AM and 5:29 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/24*-3)\/((-27)\/(-528)*58\/87)?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66296*u**3 + 33142*u**3 + 21 + 3 + 33150*u**3.\nAnswer: -4*u**3 + 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/(-4700)*-20*(1\/18)\/((-3)\/(-12))\nAnswer: -2\/141","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.3 or -55?\nAnswer: -55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*j**2 - 945*j - 77*j**2 + 55*j**2 + 7765*j.\nAnswer: -2*j**2 + 6820*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, -5\/9, 0.4, 0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(((v*(v\/(v\/v**18))\/v)\/v)\/v*v))\/(v**(-5)*v)*(v\/v**(-2))**(2\/17) assuming v is positive.\nAnswer: v**(-198\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 - 27. Let s(r) = -20*r. Determine s(n(l)).\nAnswer: 20*l**2 + 540","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 3\/25 of a microsecond?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10137, -40598, -91389, -162510, -253961, -365742, -497853?\nAnswer: -650294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 7*b**3 + b - 1. Let w = 12 + -8. Let x(l) be the third derivative of l**6\/20 + l**4\/24 - l**3\/6 + 68*l**2 - 82*l - 2. Give w*f(c) - 5*x(c).\nAnswer: -2*c**3 - c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f + f - 3*f)*(-60 + 2 + 0)*(-1 + 0 + 0)*(0 + 4 - 1).\nAnswer: -174*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and 0.64113349.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22842 and 122200?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*x - 30 = -34*x - 5*z, 15 = x + 5*z for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12407 - 6548. Is 21 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1730 and 255?\nAnswer: 88230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by 553\nAnswer: 1\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -14 (base 8) to base 13\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 21*r - 5. Let f(x) = -x. Let u(n) = -n - 1. Let y(m) = -5*f(m) + u(m). Suppose 3*h + h - 44 = 0. What is h*y(s) - 2*c(s)?\nAnswer: 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of s**3 + 3*s**2 - 21*s - 13. Calculate the remainder when t(5) is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 - 6*h**2 + 2*h + 14. Let i be p(-6). Let v = -0.2 - 3.8. Let q = -3.9 - v. What is the nearest to -3 in q, 1, i?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 + 17. Suppose 0*q + j = 2*q. What is the least common multiple of 208\/32 - 6\/q and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c = -2*n - 20, -c - 3*n - 22 = n for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 v when two letters picked without replacement from {r: 7, j: 6, v: 1}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -199, -1237, -3985, -9277, -17947?\nAnswer: -30829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112290 is divided by 123?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - 4*z - 284, 5*f + 2*z + 367 = z. Let j = f - -72. What is the remainder when 59 is divided by j\/(-2) - (6 - 3)*-1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31\/(5115\/(-308))*(-18)\/21.\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 82349 to the power of 1\/3, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 + 166*c**2 + 19*c - 2893. What is y(166)?\nAnswer: 261","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = -10*p - 16 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 16*t - 111. Let v be i(7). Suppose -5*o + 30 = -0. Let d be o\/(-3)*1 + -3. Put 4, v, d in decreasing order.\nAnswer: 4, v, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of -z**5\/60 + 7*z**4\/24 - z**3 - 2*z**2. Let y be v(6). Let n = 0.25 - 0.25. Are n and y nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52215 is divided by 6472?\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.294848 from -0.5.\nAnswer: -0.794848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 3*q - 912, -3*q - q + 1196 = -u. Let s = -188 + q. Is 39 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1261 is divided by 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29665 - 29674 - 254*j**3 - 4*j + 59339.\nAnswer: -254*j**3 - 4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 - 101*r**2 + 110*r**2 - 7 + 3*r**3 - 8 = 0 for r.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 123134 - -21?\nAnswer: 123210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -383958, -383961, -383964?\n\"Answer: -3*i - 383955","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 135043 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 291080382 to the power of 1\/2, to the nearest integer?\nAnswer: 17061","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -4*q**2 + 5*q - 4. Let z(r) = 2*r**2 - 351*r + 7 + 1030*r + 5*r**2 - 339*r - 349*r. Calculate -5*i(p) - 3*z(p).\nAnswer: -p**2 + 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 4013 = -d - 4009, 0 = -2*o + 5*d + 7 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 smaller than 96?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0*(4\/(-1))\/4. Suppose -4*t - 46 - 66 = b. What is the units digit of (-2)\/7 - 1296\/t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -10, -8*d + 10 = -j - 3*d. Suppose 1 = r - 6. Solve j = 2*k - r + 1 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 1 = 7. Let m(o) = o + 1. Let z(f) = 1. Let h(c) = -m(c) + z(c). Suppose 2 = t + 1. Let n(r) = 1. Calculate q*n(p) + t*h(p).\nAnswer: -p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 432330.3 grams?\nAnswer: 432330300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 1 - (9 - 504\/7).\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 81 - 79. Let s be (4 + -1)*(-212)\/12. Let i = s + 103\/2. Put i, x, 1\/2 in ascending order.\nAnswer: i, 1\/2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-3 + -2*sqrt(125) + sqrt(5) + 5 - ((sqrt(100)*2)\/sqrt(10))\/(sqrt(2) - sqrt(200))).\nAnswer: -79*sqrt(5)\/9 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 3999999*b + 1. Let p = 15 + -11. Let o be 6\/p*2 - 2. Let v be n(o). Round v to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 383293 is divided by 76656?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1971?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*r**2 - 4*r**2 - 8*r**2 - 5*r**2.\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11*1*27\/27.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6145739 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/3 in 2, -10, -8\/7?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 divided by -9?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 3*d**3 + 13*d**2 - 58*d + 75. What are the prime factors of n(14)?\nAnswer: 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 5*x - 3 = 0, -q - 4*x + 3 = -12. Let g(a) = -a**3 - 3*a**2 + 3. Suppose 5*f + 15 = -0. Calculate the lowest common multiple of g(f) and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.05 greater than or equal to 381654?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4605808220 rounded to the nearest 100000?\nAnswer: 4605800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 2*w**3 - 17*w**2 + 32*w + 17. What is x(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -5*q + 3, q + 2 + 11 = 3*k. Let s be k + -2*4\/4. Factor -2*b**s - 2*b**4 + 3*b**3 + 1\/2*b**5 + 1\/2*b + 0.\nAnswer: b*(b - 1)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -44.735 + -0.265. Let l = -67 + 18. Let s = y - l. What is the third biggest value in 0.5, s, 0.4, -0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 3*m - 5. Let b(y) = -2*y**2 + 2*y - 4. Let x(q) = 3*b(q) - 2*t(q). Let r(u) = 25*u**2 + 9. What is 6*r(z) + 26*x(z)?\nAnswer: -6*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from haojjojjojohhj. Give prob of sequence ja.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.08*284.\nAnswer: -22.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4826, 4894, 4966, 5042, 5122, 5206?\nAnswer: 5294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 3*a + 27 - 5 = 0, -4*z = 3*a - 58. Solve -5*l + 1 = z for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23754101 to the nearest integer?\nAnswer: 4874","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -93003217.88 to the nearest ten thousand.\nAnswer: -93000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -48, -170, -382, -684, -1076, -1558, -2130?\n\"Answer: -45*c**2 + 13*c - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -0.4 (c) -0.04 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*q + 38 - 35 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.59334 + -2.1412. Round u to 2 decimal places.\nAnswer: 0.45","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**4\/3 + 9710*r**3 + 35322528*r**2 - 743201144*r\/3.\nAnswer: 2*r*(r - 7)*(r + 7286)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (3*(sqrt(200) + -4 + sqrt(200)))**2.\nAnswer: -1440*sqrt(2) + 7340","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-three fifths of a litre?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-12)\/(-3*(-5)\/(-15)). Let o(t) = 2*t - 10. List the prime factors of o(z).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -138 - 49414*i + 412 - 133 - 141.\nAnswer: -49414*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0011458306 to four dps.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-16)\/(-4)*3\/4. Suppose 0*a + 4 = 2*a. Solve z - 2*n + 2 - 8 = 0, -a*n = -w*z + 6 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3869 + 2693. Let a = 2063 + h. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25293.\nAnswer: 3, 8431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -5*v**4 + 99965*v**3 - 1298875*v**2 + 3496255*v + 4895100 = 0.\nAnswer: -1, 7, 19980","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2*b. Let a(q) = 101*q + 2525. Let o be a(-25). Let l(u) be the second derivative of -13*u + 1\/6*u**3 + o*u**2 + 0. Calculate l(y(g)).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((12\/(-70))\/(7\/(-98)))\/(9*(-6)\/1440).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**5\/x**(-1)*x**6*(x**(4\/7)\/x)\/x assuming x is positive.\nAnswer: x**(74\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1464.04 + -1464. Are i and 4 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*a - 65*a + 7 = -x, -10 = -2*x + 4*a. Let i(b) = -8*b - 7. Give i(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 8, 22, -3 in descending order.\nAnswer: 22, 8, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Do 3\/4 and -523 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 + 26 - (-37 - -16).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1768)\/(-272) + 230\/(-36).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -84777*m**5 + 295*m**3 + 71146331*m?\nAnswer: -1695540*m**3 + 1770*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*i - 24 = -31*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18264 a multiple of 158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -181941001, -181941005, -181941011, -181941019, -181941029?\nAnswer: -181941041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 77, 156, 235, 314, 393, 472?\n\"Answer: 79*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -217 and -9213.\nAnswer: -9430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -2*f - 636. Let o be f\/(-10) + 4\/(-10). Let q = o + 90. Is q a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 116 divided by 6\nAnswer: 58\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.3 + 1.5. What is the closest to -1 in a, -4, 2\/5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 55276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d - 1 + 1)*(-2*d**2 + 0 + 0 - 4 + 2*d**2 + 4 - 3*d + d**2 + 3*d + (d**2 - 6*d**2 + 3*d**2)*(-2 + 2 + 1) + 11*d**2 - 17*d**2 - 16*d**2).\nAnswer: -69*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 126.37 - 127. Let y = -0.62999973 - g. What is y rounded to seven decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*w**3 + 2*w**3 - w**4 + 5*w - 9*w**3 + 13*w**3 + 12*w**3 in the form k*w**2 + u*w + t*w**4 + c*w**3 + d and give c.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -4*a + 11. Let u be k(0). Calculate the greatest common factor of u and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 491.8382 micrograms in grams?\nAnswer: 0.0004918382","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -1 + ((-20)\/6)\/((-32)\/1392)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 637030.\nAnswer: 2, 5, 63703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3, 4, -9, -1 in decreasing order.\nAnswer: 4, -1, -2, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12449 + -7291. List the prime factors of v.\nAnswer: 2, 2579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from asbbqbqobqssb. What is prob of picking 1 s and 2 b?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8\/6*-1*-84. Calculate the common denominator of ((-166)\/10)\/(c\/35) and 91\/12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*(238\/612)\/(14\/6).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (2 + -3)) + -1 + -5\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2336 at least as big as 2337?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -131 = -17*d + 481. Calculate the remainder when d is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48223892 is divided by 25.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = -3*c - 1, 2*c + 4*t = -0*t + 16 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 740, 1266, 2114, 3284, 4776, 6590?\nAnswer: 8726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 190450?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/2436 and -77\/7626.\nAnswer: 3096156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + (-10 - 0) - 10?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 2216*r**3 - 2*r - 2. Let h(g) = 6648*g**3 - 6*g - 6. Determine -17*c(v) + 6*h(v).\nAnswer: 2216*v**3 - 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 876488 is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(7) + -3))**2 + -1*sqrt(49)\/sqrt(7).\nAnswer: -217*sqrt(7) + 576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 180\/24*-1*(-5)\/(-50)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19 and 29355?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -104 + 99. Which is the nearest to 11? (a) x (b) -0.4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*w - 3*r + 15, 0 = -78*w + 82*w - 2*r + 10 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l = -2100 + 9462. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9.151*1503.\nAnswer: -13753.953","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((3 - 4) + 1 - -6) + -1. Let l(b) = b**3 - 5*b**2 - 4*b + 11. Calculate l(w).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 80*q**3 - 4*q + 90*q**2 - 2*q**2 + q**4 - 81*q**3 + 5*q to the form m*q**2 + a*q**3 + n*q**4 + b*q + k and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*o - 82*o + 4554 = 92*o. Solve 32 = o*u - 49*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 4. Solve 14 + q = 3*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*l + 38*l - 84*l.\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*z - 8*z - 17 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -314711 or -4.1?\nAnswer: -4.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.6 - 3. Let f = -5055 + 5058. Sort f, h, -0.2, 4 in decreasing order.\nAnswer: 4, f, h, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 845208 and 2148471.\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 816\/(-78) - (-10 - 992\/(-104)) - -41\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2 + 9*j - 2. What is the tens digit of l(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2037 and 168?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 4 + 2. Suppose -q - 14 = -y*q - 5*o, 12 = q + 4*o. Solve 0 = -3*z + 1 - q for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 16460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 4 + 10*t + t + 7. Suppose -6 = 3*k - 0, 0 = 3*w - 4*k + 31. Suppose 12*m - 80 = -8. Let s(j) = 5*j + 5. What is m*z(x) + w*s(x)?\nAnswer: x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -212 + 4?\nAnswer: -205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 94 and 2034959.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 + 12*u**2 + 10*u - 8. Let j be r(-11). Let z = -154 - -159. Solve z*l = -y + 15, 0 = -2*l + y + j*y - 16 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(13)*1)*-2.\nAnswer: -2*sqrt(13) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11257 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 1 - 2*b)*(5*b**3 - 8*b**3 - 3*b**3)*(b - b + 2*b)*(-16 + 8 - 19).\nAnswer: -648*b**5 - 324*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-57)\/(-21) + 8\/28. Suppose k = -2*y + 5, 2*k = -z*y + k + 7. Solve 8 = -y*u - 2*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-62608)\/13760*(-20)\/35.\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7997973426 to the power of 1\/2, to the nearest integer?\nAnswer: 89431","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3638810*d**3*x + 2*d**2*x - 2*d*x - 3*d - 266*x + 59 wrt d?\nAnswer: 21832860*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 37*g**2. Let p(a) = -3*a. Calculate p(f(s)).\nAnswer: -111*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 + i**2 - i + 1. Let o(s) = -s**3 + s + 6. Let r(w) = -42*w**3 + 3*w**2 + 2*w + 26. Let v(u) = 4*o(u) - r(u). Give -2*n(m) - v(m).\nAnswer: -36*m**3 + m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 226*4\/(12 + -4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 0. Let m be 3 - (o - -3 - -5). Solve m = -5*g + g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3446, -4242, -17056, -34996, -58062?\n\"Answer: -2563*p**2 + p + 6008","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -30820*-2.2\nAnswer: 67804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 21 + -20 - 2\/6. Put 1\/2, -2\/7, j in descending order.\nAnswer: j, 1\/2, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -112 + 112.927. Round p to two dps.\nAnswer: 0.93","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23142 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -115 - 0.275455.\nAnswer: -115.275455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4 + 1 + 205\/65. What is the third smallest value in -1\/14, -0.5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u = -2*u - 5*a + 15, -5*u + 3*a = 5. Solve u*t + 12 = 6*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 3270*a. Let f(x) = 2*x. Determine d(f(z)).\nAnswer: 6540*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vxvxxtwmvxwxxxwvxx. Give prob of sequence vvxv.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 226545083 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17 + 17. Solve -4*y = -5*f + 6, -2*y + 5*y + 4*f + 20 = n for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19 + -19. Suppose -3*s - b + 133 = z, -5*s + 10*s - 217 = -4*b. Suppose -g + s = 2*g. Solve -2*t + 2*p + 1 = 3, -g = -5*p for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of -13*g**3\/6 + 14*g. Let x(r) = 4*r**2 + 3*r - 3. Let u(w) = 23*w**2 + 17*w - 17. Let b(o) = -6*u(o) + 34*x(o). Give j(b(z)).\nAnswer: 26*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1166183 is divided by 19.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(9)*1)\/(sqrt(108)*1 + sqrt(108)))**2.\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 9 = -39. Let k be 16\/6 + (-8)\/r. Solve -2*o + k = -o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1259\/13 - -97. Let y = -19.3 - -19. What is the third biggest value in y, 0.17, x?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.6 * -0.369.\nAnswer: -0.2214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1525*v**4 - 300*v**2 wrt v?\nAnswer: 36600*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, x: 1, s: 9, h: 4, y: 1}. What is prob of sequence aa?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 183 and 23973?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 232 and 160?\nAnswer: 4640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**4 + t**3 + t**2 + t - 1. Let b = -30 + 25. Let q(v) = 4*v**4 - 5*v**3 - 4*v**2 - 5*v + 5. Let p(g) = b*k(g) - q(g). Factor p(j).\nAnswer: j**2*(j - 1)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 - 4. Let t(n) = -n**3 + 5*n**2 - 5*n + 27. Let u be t(6). What is the remainder when 0 + (-13)\/(u\/27) is divided by m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 771?\nAnswer: 3, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyysyysyyyyyybsy. What is prob of sequence yb?\nAnswer: 13\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -2*f - 4*t, 2*t = -4*f + 16 - 2. Suppose -5*q - 141 + 0 = -3*w, -174 = -4*w + f*q. Calculate the remainder when 123 is divided by w.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 436*l**3*o + 225*l**2*o - 2*l**2 - o wrt l.\nAnswer: 2616*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-345)\/(-3864)*238)\/(((-18)\/8)\/9)?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2*q**3 + 10*q**2 + 14*q - 8. What is o(4)?\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 327*f**3*k*s + 27*f**3*k - 97743*f**2*k**3 + 4855*f*k**3*s - f*s wrt s.\nAnswer: 327*f**3*k + 4855*f*k**3 - f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -24832.9973 - -24836. Let w = -3 + q. Round w to 3 decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1209 or -1092?\nAnswer: -1209","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 405525829 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0458384984 rounded to three dps?\nAnswer: 0.046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 4 = -z. Solve 0 = -z*m + 2*g + 8, 4*g + 26 = -m - g for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 PM and 4:08 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 - -6.06?\nAnswer: 54.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09 take away -0.99?\nAnswer: 1.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4558*f**5 - 8190*f.\nAnswer: 91160*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 353*a + 371*a + 355*a - 1044*a.\nAnswer: 35*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j + 42*j**3 + 5*j - 6*j - 186*j**3.\nAnswer: -144*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of 1\/2*f**2 + 0*f + 1. Let i(a) = -31*a + 78*a - 39*a. Calculate i(v(o)).\nAnswer: 8*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1307760050.\nAnswer: 2, 5, 26155201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1488653 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.055 (b) 2 (c) -45 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4004\/(-12285) + (-6)\/81. What is the biggest value in 0.2, i, 121, -2\/9?\nAnswer: 121","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61380 + 11*j - 6*j + 0*j.\nAnswer: 5*j + 61380","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 216881 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7 and 511.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*r - 0. Let c be 2 - (-6)\/(1 + r). Calculate the highest common factor of 10 and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 16 = 2*y, 3*y - 400*c + 383*c - 176 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12 - -12 - 11) + 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.03 + -2.97. Let f = -3.9 + 4. Which is the closest to 2? (a) p (b) f (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -5720839.\nAnswer: -2\/5720839","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 4*p - 108 = 0, 14567*k - 14562*k = 5*p + 125 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2001 - 1311?\nAnswer: -3312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -13, -1, -3, 5, 93, 67 in increasing order.\nAnswer: -13, -4, -3, -1, 5, 67, 93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1074 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -14 (b) 0.8 (c) -0.2 (d) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8.7 - -7. What is y rounded to 1 decimal place?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*o**2 - o - 2*o - 43984 + 43984 - 6*o**2 - 7*o**2.\nAnswer: -9*o**2 - 3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 386.35 rounded to zero decimal places?\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -184.5 + 91.1. Let z = r + 93. What is the closest to 3\/5 in 1, z, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55938 is divided by 293?\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1162510 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**4. Let h(o) be the first derivative of -4*o**5\/5 - 9*o - 11. Let u(b) = -h(b) + 3*w(b). Differentiate u(i) with respect to i.\nAnswer: 28*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (24\/(-14))\/((16\/(-70))\/4). Suppose 2*k - 14 = 2*u + u, -4*u - v = 3*k. Is -28\/5 equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-10) - (780\/(-11310) + (-6934)\/(-1305)) - -5\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3320 is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*n - 579 = 1269. What is the remainder when (-234)\/(6 - n\/(-27)) is divided by 96?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 349 + -312. Let d = 38 - x. What is the nearest to 2 in -23, d, -4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of i**5\/20 - 3*i**4\/4 + 5*i**3\/3 - 4*i**2 + 2*i. What is the units digit of g(8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2828 bigger than -2842?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 12370 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 + 3 - 1)*(-1 - 1 + 0) + 0 + 1 - 4)*(3*g**3 - g**5 - 3*g**3).\nAnswer: 15*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - -1. Let l = -613 - -623.32. Let k = -0.32 + l. Which is the second biggest value? (a) k (b) d (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n**2\/15 - 3310*n\/3 + 2758\/5 = 0. Calculate n.\nAnswer: 1\/2, 4137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*l + 25*l + 5*l**2 - 28*l.\nAnswer: 5*l**2 - 75*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -28230120 divided by 4705020?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of n**5\/60 - 23*n**3\/6 - 785*n**2. Calculate j(0).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 AM and 8:31 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2039\/4 + -502. Find the common denominator of -69\/482 and p.\nAnswer: 964","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20611 (base 7) in base 8?\nAnswer: 11760","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.444153 rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s - 6. Suppose 0*x + 6*x = 0. Calculate r(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 4*g = 31 - 126, -4*q + 3*g - 399 = 0. Let p be (-9)\/q*-2 + (-5958)\/22. Let a = 1022 + p. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*a**4 - 8*a**3 + 476*a**2 - 352*a - 48 = 0 for a.\nAnswer: -3, -2\/17, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5479433 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -11*r**3 - r**2 + r + 1. Let n be z(-1). Suppose 4*t = n + 18. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-11)\/((2\/71)\/(3 - 5)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -31\/13, 1, -1\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -99 + 98. Let g = a - -13. What is the second derivative of 8*m - 10*m**3 - 12*m**3 + g*m**3 - 5*m**3 wrt m?\nAnswer: -90*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 6*n**2 - 20*n - 25. Let c be x(5). Let y = -6 + 10. Solve -y*f = -9*f + c for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -3*q + 30. Let z be 1\/1 - q\/(-2). Suppose -z*t - 148 = -8*t. Calculate the remainder when t is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 4*i**3 - 232*i**2 + 1664*i - 3200 = 0?\nAnswer: 4, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**3*m*m**7*m*m)\/((m*m\/((m**4*m)\/m))\/m**6) assuming m is positive.\nAnswer: m**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*o**3 + 8*o - 28977*o**2 + 6*o - o**3 + 28974*o**2 - 19 - 3*o**3 to the form a*o**3 + y*o + v*o**2 + n and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 110544651823 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 231110103 - 12?\nAnswer: 231110031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 657 a factor of 81812346?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*o - 4*o = 2*w - 18, 4*w = 12 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 + 5. Calculate the lowest common multiple of b and 3.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 3*d - 7, 3*x - 4 = 4*x - 5*d. Let a be 3*(0 + 0 + x). What is the first derivative of -6 + a + 4*y + 0 wrt y?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-56)\/(-21)*(1 + -4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 17936 and 88?\nAnswer: 197296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 2*b = -21 + 7, -5*b = 5*l - 5. Sort l, 2, 1 in ascending order.\nAnswer: l, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 7*h. Let k be a(11). Let o = 123 - k. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116*q**3 - 859420*q**2 + 3436288*q - 3435824 = 0 for q.\nAnswer: 2, 214739\/29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 - c**2 + c + 1. Let u(p) = -81*p**3 + 4*p**2 - 6*p - 5. Give -6*t(l) - u(l).\nAnswer: 75*l**3 + 2*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.623074 rounded to two dps?\nAnswer: -17.62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + 342?\nAnswer: 344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.14 - 64.14. Let x = -63.99999474 - w. Round x to 7 decimal places.\nAnswer: 0.0000053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-94)\/(-4) - 1\/2. Let x = 32 - l. What are the prime factors of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(200)*1*5*3 + 0 + 4 + (sqrt(200) - sqrt(200)*-2) + sqrt(200) + 0)*-2)**2.\nAnswer: 97280*sqrt(2) + 4621824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2625822847 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 224 divide 108662?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*j**2*v**3 - 1083*j**2*v + 3*j*v**3 - 7*v**3 wrt v?\nAnswer: -60*j**2*v + 18*j*v - 42*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*h**5 + 818*h**4\/7 + 1298*h**3\/7 + 108*h**2 + 184*h\/7 + 16\/7 = 0 for h.\nAnswer: -2, -1\/3, -2\/7, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -2\/15, 0.275?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 322262 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -13*r**3 - 11*r**2 - 8*r + 17. Let d(a) = 3*a**3 + 3*a**2 + 2*a - 4. Let p(i) = 9*d(i) + 2*y(i). What is p(-3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2065, 4260, 10587, 16916, 23247, 29580?\n\"Answer: x**2 + 6322*x - 8388","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 484.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 0 - 8 = 0. Let l be (56\/y - 1)\/6. Solve -2*m + 11 = -4*j - l, 0 = -5*m - 3*j - 35 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, x: 2, j: 1, d: 1, o: 1, f: 1}. Give prob of picking 2 x, 1 j, and 1 f.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6195719549 - 821.\nAnswer: -6195720370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*f**5 + 1701*f**4\/5 + 26334*f**3\/5 - 2593806*f**2\/5 - 75687021*f\/5 + 46340073\/5 = 0. Calculate f.\nAnswer: -53, -47, 3\/5, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -3*o + 70. Calculate the highest common factor of o and 98.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of o - 3 + 1\/6*o**3 - 41\/30*o**6 + 11\/2*o**2 + 0*o**4 + 0*o**5. Differentiate y(s) with respect to s.\nAnswer: -164*s**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 - (-4 - (-16 + 6 - -9))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 112, 115, 118?\n\"Answer: 3*s + 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -12c8a9 + -4?\nAnswer: -12c8ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (2 - (-35 - -16))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 42 - 275 = -2*f, -5*o - 3*f = -318. Calculate the greatest common divisor of o and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (264 - 255) + 3 + -14 + -3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n**1*n))**(-33\/2)\/(n**(-1))**(1\/18)*(n*n*n*n\/n**(2\/3)*n*n)**(-40)*(n\/(n**(-1\/4)*n*n)*n)**(2\/61) assuming n is positive.\nAnswer: n**(-216053\/1098)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 102510*k - 102510*k + 37*k**3.\nAnswer: 37*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 815 + 24010 = 331*k for k.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 9*c**2 - 1. Let w be (-37)\/5 - (-16)\/40. Let f be 54\/(w\/(-6) + (-1)\/2). Let u = f - 80. Determine v(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -17*s**3 + 292*s**2 + 9*s + 5. Let n(d) = -4*d**3 + 73*d**2 + 2*d + 1. Determine 9*n(p) - 2*o(p).\nAnswer: -2*p**3 + 73*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2510 + -2?\nAnswer: -2512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y + 1. Suppose -3 = -g - 1. Let v(c) = -3*c**3 - 2*c - 2. Let f(t) = g*p(t) + v(t). Find the second derivative of f(b) wrt b.\nAnswer: -18*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10.6 - -11.63. Let w = d - 1. Which is bigger: w or -1\/2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1122 and 2057.\nAnswer: 12342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -69 - -75. Solve a*g + 20 = 2*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 152 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 6163, 24537, 55159, 98029, 153147, 220513, 300127?\n\"Answer: 6124*w**2 + 2*w + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*w + 21*w - 288 = 0. Let r be 6 - 4\/(w\/(-27)). Suppose 0*o = 4*o. Solve f + 4*h = 2*f + 7, -3*f - r*h - 6 = o for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 3*p = 8, 0*s + 5*p - 1226 = 4*s - 1240 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of -v**3\/3 + 5*v**2 - 9*v - 4. Let i be h(8). Solve -2*a + 3 = -i for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/10)\/(-4*(-1)\/(-1)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of w**2\/2 - 1. Let f(v) = 1863*v - 108. Let m(z) = -257*z + 15. Let a(j) = 8*f(j) + 58*m(j). Calculate a(q(o)).\nAnswer: -2*o + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6a7 + 5?\nAnswer: 6b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*f + 0*f - 47 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -0.013 (b) -14.03 (c) 2 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -20*r - 13. Is w(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 43363.7 decades?\nAnswer: 433637","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(2156)*-1)\/(3*sqrt(256))*-2.\nAnswer: -7*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1552, 0, -5, 3, -4 in increasing order.\nAnswer: -1552, -5, -4, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 72279085280*b + 1 - 72279085283*b.\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/4)\/((-7)\/294)*-1. Let y(z) = -z + 28. Determine y(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12 in -5, 0.3, -1, -111?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 - -15. Suppose -x*o + 131 = -4*t + t, 0 = -3*o + t + 97. Suppose -o = -3*d + 7. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -533 + 536. What is the remainder when o is divided by (3\/(-1))\/((-6)\/4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = o - 444. Let j = 96 + o. Let r be j\/(3\/(-1 + -2)). Solve 2*v = f + 1 - 6, r = -5*v for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 - 1)*(-1 + 2*p**2 + 1).\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) -1\/3 (c) -35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes after 7:18 AM?\nAnswer: 5:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 PM and 4:32 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -123\/10 and (-782)\/42 + (-2)\/(-7).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72\/5 of a meter in centimeters?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 2 = -4*f + 10, -5*k + 20 = 3*f. Let v(z) = 32*z - 2. What is the tens digit of v(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -2*s, 11 = 5*s - s - 3*m. Suppose 3*t - t**s - 2*t - 2*t + 4*t**2 = 0. Calculate t.\nAnswer: 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -23 and -193.\nAnswer: 4439","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 75 - 69. Let o = -6 + m. Which is the nearest to o? (a) -5 (b) 0.2 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-275)\/(-132))\/(-25)*-30.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 3*s. Let a(d) = -d + 1. Let w be a(s). Let f be 8\/(-10)*2\/(-8). Which is bigger: w or f?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103378 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(2*(-2)\/32). Suppose -5*u + 2*l + 23 = 0, -2*u - 2*u + d = -l. Solve a = h - 4 + 2, -20 = 4*h + u*a for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kiki when four letters picked without replacement from xkklxkkikiik.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1188 + 1174 + 37*v**2 - 42*v**2 - 2362.\nAnswer: -5*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -y - 3*o - 27, -5*y - 5*o - 40 = 0. Let i(k) = k + 1. Let h be i(-6). Sort y, 5, h in descending order.\nAnswer: 5, y, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 67 = 3*u + 22, 3*r - 65 = -5*u. List the prime factors of r.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -1 - (27 - 2 - 17).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -616 = -4*w + 4*n, -24*n = 3*w - 23*n - 466. What is the greatest common factor of 65 and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -139974 + 334970. Suppose 173234 = -5*d - 4*f - 151758, 0 = 3*d + 2*f + q. What is d rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 3*c**3\/5 + 28374*c**2\/5 + 84927*c - 566580 = 0.\nAnswer: -9443, -20, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -3*r + 1. Let t be g(9). Let o = -26 - t. Put -2, o, 1 in decreasing order.\nAnswer: 1, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14.674 - -3.326. Sort 5, 360, -2\/5, w in decreasing order.\nAnswer: 360, w, 5, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zrhbuhzyb. What is prob of sequence hubb?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9923*s**5 - 672*s - 610*s - 10314*s**5 wrt s.\nAnswer: -7820*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - (-30 + -9) - (87 + 6).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -15*x**2 - 6*x + 1. Let n(j) = 32*j**2 + 13*j - 3. Give 7*a(i) + 3*n(i).\nAnswer: -9*i**2 - 3*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-89 - -11) + 28 - -17.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002815 rounded to six dps?\nAnswer: -0.000282","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 3*g = 18, -h + 4*g = -g - 16. Let j(w) = -4*w - 3. Determine j(h).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33.72 rounded to 1 dp?\nAnswer: -33.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 814 is divided by 49?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, -21, -44, -67, -84, -89?\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - (4 - -2) - -3) + 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2168183 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -267.3 - 0.3.\nAnswer: -267.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -9. Let h = y + -2. Does 10 divide ((-784)\/24)\/(h\/(-6))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 8*w + 1. Let r(b) = 101*b - 58. Let l(v) = 44*a(v) - 4*r(v). What is the tens digit of l(-13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*p + 1249*p**2 + 0*p.\nAnswer: 1249*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.087225nm to centimeters.\nAnswer: 0.0000004087225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106 = -6*z - 211 + 105. Factor 0*x - 2\/9*x**4 + z*x**3 + 4\/9*x**2 - 2\/9.\nAnswer: -2*(x - 1)**2*(x + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 990, 1977, 2964, 3951?\n\"Answer: 987*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 - 8. Suppose 3*f - 19 - 41 = i. Calculate the highest common factor of f and 80.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 33.28 + -0.28. Let d = 33.3 - j. Which is the third biggest value? (a) d (b) 2 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (89 - (-5868)\/(-72))*(-200)\/(-15)?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 2*u = -6, 5*u + 15 = v - 5*v. Suppose 4*l + l = -2*b + 191, 2*b - 4*l = 146. Let g = b - 84. Put g, -3, v in descending order.\nAnswer: v, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1662.\nAnswer: 2, 3, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 170990\/12*(-1)\/10. Let n = -1427 - d. Let c = 180461\/22 - 8201. Find the common denominator of c and n.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*y + 10*y - 24*y + 2*y**2 + 2*y**2.\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26 + 38. Let w be (-5)\/2*o\/(-5). Is 1196\/14 - w\/14 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 - 142*i**2 + 212*i - 11027. Give v(-144).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 368305 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 185683 is divided by 368.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 804584?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-3)\/(-5))\/(90*(-46)\/24150))\/((-1)\/4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.2 + 1.38. Let l = -40.18 + n. Let i = -39.973 - l. Round i to 2 decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11595, 21586, 31577?\nAnswer: 41568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19964 + 19933. Let o = -12 + 17. Which is the second biggest value? (a) 2\/3 (b) f (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 4*b - 72 + 72. Let c(y) = 4*y. Give w(c(j)).\nAnswer: 16*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 51 + -50.943. What is y rounded to 2 decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.366 - 23.1\nAnswer: -22.734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 9502014 to the power of 1\/2, to the nearest integer?\nAnswer: 3083","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 - 8*l - 40. Calculate u(12).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 7*l - 85. Let y = -13 - l. Solve 5*a - 4*a = y for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -b - 0*b + 90, 0 = -2*n - b + 36. Suppose 5*y + 4*w + 1 = 0, -w - 3 + 5 = 2*y. Suppose -a = -y*a + n. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112212131 (base 4) in base 2?\nAnswer: 10110100110011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 4*i**3 + 5*i**2 - 3*i - 4. Let u(t) be the first derivative of -5*t**4\/4 - 2*t**3 + 2*t**2 + 5*t - 12. What is -6*p(h) - 5*u(h)?\nAnswer: h**3 - 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - 1)\/(-2)*1. Let k(w) = 1. Let o(p) = 3. Let d(g) = -5*k(g) + 2*o(g). Let j(x) = -x**2 + 3*x - 1. Let s(c) = v*j(c) - d(c). Factor s(u).\nAnswer: -(u - 2)*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -212\/5 + 42. Let i = 424\/2587 + -2\/199. Let o be 4 + (-4 - 9\/(-15)). What is the second biggest value in i, o, c?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 192.124?\nAnswer: 192.124","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xuuduxgxxnununu. What is prob of sequence nn?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - 11001?\nAnswer: -10333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 7 - (3 + 30\/(-5)). Suppose -12*g = -17*g + d. Solve 4*f - 6*y + y + 18 = 0, -3*f - g*y - 2 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 + 15*k**2 - 23*k + 15. Give g(-16).\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -249*u - 2. Let r(t) = -10311*t. What is c(r(n))?\nAnswer: 2567439*n - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15 and 10696985?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16*n**5 + 427173*n**4 + 4*n**2 - 1219143*n wrt n.\nAnswer: -960*n**2 + 10252152*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16232 and 2216.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of -86\/3*q**3 - 882*q - 1\/2*q**4 - 483*q**2 + 62. Factor t(g).\nAnswer: -2*(g + 1)*(g + 21)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00017307266 rounded to 5 dps?\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 5*i + 13. Let l(z) be the first derivative of z**2\/2 + 3*z - 5. Give -9*l(v) + 2*n(v).\nAnswer: v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 76357150 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 z(a) = 4*a + 66. Let r be z(-14). Let c be ((-4)\/r + 0)\/(31\/(-155)). Solve -c*o = 3*o + 20 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 14714 - 9566 = 0. Let m = 133583\/22 - o. Find the common denominator of -5\/4 and m.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 + 6*u - 32. What is the units digit of y(-21)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7 or 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 + 7*z**2 - 8*z + 4. Let m be f(5). Suppose i - 4*w + 12 = 3*i, -5*i + w = m. Let u be 84\/30 + i\/(-10). Solve u*v - 2 = 4*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -2*h - 3. Let o be (h + -2 + 2)*-47. Let b = o + 93. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h = 419 - 391. Solve 8*z - h*z + 5*c = 31, 0 = -5*z + 2*c + 14 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1329 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 116923.\nAnswer: 116923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004263 rounded to four decimal places?\nAnswer: -0.0043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4191\/5 or 837?\nAnswer: 4191\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 + 4*l**2 + 5*l + 3. Let y be q(5). Solve -4*a + 5 = -3*h, y*a = -0 - 3 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -87*m**5\/2 - 1887*m**4\/2 - 4968*m**3.\nAnswer: -3*m**3*(m + 9)*(29*m + 368)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2153057, 2153065, 2153085, 2153123, 2153185, 2153277, 2153405?\nAnswer: 2153575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 + 6*n - 2. Let b be h(5). Let t be (((-24)\/(-27))\/((-2)\/b))\/(-2). What is the nearest to -0.3 in -0.02, t, 1?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29 + (-31 - -7) + 7 + 5.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/3)\/((i**5\/i)\/i))\/(i\/(i**(-2\/3)\/i))**(-3\/16)*((i\/((i*i\/(i**2*i))\/i))**(2\/29))**(-14) assuming i is positive.\nAnswer: i**(-823\/174)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 750, 745, 740, 735, 730, 725?\n\"Answer: -5*k + 755","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -90*j**5 + 2*j**4 + 490*j**3 - 90*j**2 - 400*j + 88 = 0. Calculate j.\nAnswer: -11\/5, -1, 2\/9, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3924 less than -13279517699?\nAnswer: -13279521623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 217 = -v, 2*v - 7*v + 2*s = -1102. What are the prime factors of v?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 494 = 76*n - 38. Calculate the greatest common factor of 1351 and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 6*b**3 + 2*b**2 + 2*b - 2. Suppose 4*x + 16 = -3*n + 1, 3*x + 6 = 3*n. Let c be 24\/24 - 1\/n. What is the units digit of d(c)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a + 4 - 4)*(23 + 25 - 5)*(10*a - 2*a + 0*a)*(0 + 0 - 2*a).\nAnswer: -688*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/5*p**2 - 14\/5*p + 12\/5.\nAnswer: 2*(p - 6)*(p - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o - 19. Suppose 5*g - g = 0. Let x be r(g). What is x rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 207396 by 7.\nAnswer: 29628","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 6 = -0*a. What is the biggest value in 1.6, a, -1\/5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*m**2 + 21481 + 47*m**3 + 38*m**3 - 83*m**3.\nAnswer: 2*m**3 - 3*m**2 + 21481","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -404 - 127.6.\nAnswer: -531.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14583 is divided by 101?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6752592 and 20097?\nAnswer: 6752592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6) + 2*sqrt(216) + sqrt(2904) + sqrt(24))\/((sqrt(63)\/(sqrt(14)\/sqrt(2)))\/(sqrt(3) + sqrt(3) + sqrt(3) + sqrt(3)*2*1)).\nAnswer: 185*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 + 7. Let w be 20\/(-5)*f\/2. Let z be 10\/3 - (-1)\/(-3). Solve -i - z + w = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 50 and 22189550?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 5 = -3*i, 0 = 2*p - p + 5. Suppose i = 6*v - 4*v + h - 174, 2*h + 332 = 4*v. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/230)\/(1560\/3588)?\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3123811947?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31, -7, 0, -3.\nAnswer: -31, -7, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8*a**3*f - 4*a**3*t - a**3*v + f*t*v + 2*t*v wrt t.\nAnswer: -4*a**3 + f*v + 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, a: 5, i: 4, m: 2, j: 1}. Give prob of sequence vj.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2014 - 2657*m**2 - 2014 + 235*m**2.\nAnswer: -2422*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 12268*f - 2588. Is c(5) a multiple of 108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -70858, -70813, -70688, -70441, -70030, -69413, -68548?\n\"Answer: 7*d**3 - 2*d**2 + 2*d - 70865","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.168384 times 10?\nAnswer: -41.68384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 14*l**3 + 14*l**3 + 90*l**2 - 5*l**4 - 40*l**3 + 27*l**3 = 0.\nAnswer: -3, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 185 and 211905?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2457877 is divided by 136543.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8303502?\nAnswer: 2, 3, 1383917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 5*o - 85. Determine y(0).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 5*g**2 + 6*g - 3. Let o(c) = 8*c**2 + 13*c - 10. Let b(z) = 3*o(z) - 5*y(z). Calculate b(9).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 241 (base 15) to base 3.\nAnswer: 200221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 2*r - 3, 0 = 5*s - 0*s + 5. Is 3\/((-1)\/((-7)\/r)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3374*c**5 + 1203*c**5 - c + 992 - 18758*c**3 + 18758*c**3 wrt c.\nAnswer: -43420*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30349 and 3069.\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9937 divided by -2017.\nAnswer: 9937\/2017","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(114)*-2 + sqrt(114)*-2*3)\/(sqrt(48)\/sqrt(288) - (sqrt(48)\/(sqrt(32) + sqrt(8)) + sqrt(6) + sqrt(6) + sqrt(6))) + 2)*-1.\nAnswer: -108*sqrt(19)\/19 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 256968.\nAnswer: 2, 3, 43, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -19, 2, 63, 164?\n\"Answer: 20*o**2 - 39*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 + 12*k**2 + 10*k - 10. Give h(-11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of c**6\/150 + 23*c**5\/450 - 17*c**4\/90 + c**3\/9 - 156*c**2. Let d(y) = 0. Calculate y.\nAnswer: -5, 1\/6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a kilogram in grams?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sds when three letters picked without replacement from {s: 9, d: 10}.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1181720043 is divided by 4769.\nAnswer: 4764","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -761\/19 - -1355359\/33820. What is the common denominator of u and 42\/89?\nAnswer: 1780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17c46c (base 14) in base 10?\nAnswer: 840544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14 in 73, -0.5, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cy when two letters picked without replacement from {q: 1, y: 1, z: 2, e: 2, c: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (-1 - (-5 + (-7 - -16))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = g + 15. Solve -5*t + 9 = 2*f, 4 = -g*t - 5*f - 5 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 165401360 divided by -4.\nAnswer: -41350340","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 250488 is divided by 370.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*c + 558 = -78*c for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*i + i = -5*i + 9*i - 76 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 4) to base 5.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102*s - 2229 = -903 for s.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -8687, -69854, -235863, -559136, -1092095, -1887162, -2996759?\n\"Answer: -8737*k**3 + k**2 - 11*k + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 21955797637 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c3788b1 + 10?\nAnswer: c3788c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -33 in 4, 9, 0.03, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -16 + ((-11220)\/(-289) - 23)\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -0*p - 5*p. Let g(n) = -p*n + n + 7*n - 4*n. Let m(z) = -5*z. Let d(i) = -6*i. Let x(y) = 6*d(y) - 7*m(y). What is x(g(u))?\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (3 - 0) + 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -217 by 4.\nAnswer: -217\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 3*m + 2241 = 0, 5*x + 9*m = 5*m + 3734. What is the hundreds digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2493.78873 rounded to the nearest 100?\nAnswer: -2500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-80196)\/(-8965) + (-117)\/(-2145).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 + 6. Let f = y - -2. Are 0 and f nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 - -4. Suppose 3*z = a + 8, -6*a - 2*z = 100 - 112. What is the nearest to 0.1 in a, g, -59?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2\/903, -1\/4, -1\/6 in descending order.\nAnswer: 4, 2\/903, -1\/6, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 10, f: 3, q: 3, n: 3}. What is prob of sequence qf?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 23 + 13 + -59 + 78\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 times 0.36\nAnswer: 0.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 5:28 AM?\nAnswer: 11:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15639?\nAnswer: 3, 13, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1274465 - 1724252 = -23*w - 0*w. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -336.5 + 340.5. What is the fourth biggest value in -0.4, w, 252, -4\/3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h = 52322 + -52326. Let j = -31\/5 + 7. Which is the fourth smallest value? (a) j (b) h (c) -3\/2 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**3\/5 + 9112*v**2\/5 - 18212*v\/5 + 9104\/5.\nAnswer: -4*(v - 2276)*(v - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from imiiiiinminninmiim. What is prob of sequence mii?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: 1372a (base 11) to base 6\nAnswer: 230201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + (-1 - 4 - (2 - -17)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2737196821 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.54183 rounded to 0 decimal places?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 52, 91058, -2 in decreasing order.\nAnswer: 91058, 52, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 171064.82 rounded to the nearest one thousand?\nAnswer: 171000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 13471 + 3?\nAnswer: 13474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 15827*z**2 - 5*z - 31799*z**2 + 15867*z**2.\nAnswer: -105*z**2 - 5*z - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1212787 + -2?\nAnswer: 1212785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6 + -1ac2?\nAnswer: -1abb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3081884929 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (-6 - -68) + -15 + -14\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**40*y*y)**40\/(y*(y*y**(1\/2))\/y*y*((((y**4\/y)\/y)\/y)\/y)\/y) assuming y is positive.\nAnswer: y**(3437\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6623 - -6608. Let a(b) = -8*b - 114. What is a(g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 177 + -168. Let x(i) = -2*i**2 + 15*i + 30. Let w be x(p). Solve -3 - w = 2*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of 4*h - 5 + 7*h**2 + 2 - 5*h**2. Find the first derivative of f(o) wrt o.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/4*-2*0. Let z(m) = -m**3 + 7 + 5*m**2 + m**2 + j*m**3 - 6*m + m**2. What is z(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13045 is divided by 6510.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27975524 and 190?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*h = -13*h + 6. Let m(d) = d**2 - 3*d. What is the remainder when m(h) is divided by 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 2*u**2 - 107*u + 198. Calculate a(50).\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 - 22\/(-14 + 3). Solve -3*p - 3 = -12, -19 = -m*x - p for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -18 in 1, -0.5, -8934?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of 0*z**4 - 1\/6*z**6 + 0*z**5 - 3*z - 1\/3*z**3 + 0*z**2 + 0. What is the second derivative of v(s) wrt s?\nAnswer: -60*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 95105, 190538, 285971?\n\"Answer: 95433*o - 328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -34434 - -34438. Calculate the highest common factor of 6336 and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 29, 32, 45, 74, 125, 204?\n\"Answer: y**3 - y**2 - y + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -715225.4 rounded to the nearest ten thousand?\nAnswer: -720000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from dddddd?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -3*g**2 - 38*g + 410. What is d(10)?\nAnswer: -270","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4367982600.\nAnswer: 2, 3, 5, 47, 51631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 2*w = -4*n + 16, 2*n = 2. Suppose -5*t - 11 = -c, -w*c - 27 = 29*t - 24*t. Let x(g) = g**2 + g - 5. Give x(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1250, 1479, 1708, 1937?\n\"Answer: 229*a + 1021","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l + 0*l - 3 - l + 13. Let s be c(3). Determine u, given that 4*u**2 - 8 + 2*u**s + u**2 - 2 - 15*u**3 + 15*u + 3*u**4 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7997385 is divided by 8144?\nAnswer: 8121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (-4 - -7)) + -2 - 4.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.01 - 0.41. Let q = -14.03 + 0.03. Let d = q + 18. Which is the biggest value? (a) d (b) -3 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = 4*i, 4*i = -3*q - i + 24 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -299.3 + 166.2. Let f = -133 - x. Is -9 <= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40346 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of -5*n**7\/3 - 79*n**4\/6 + 5*n - 28. Let w(u) be the first derivative of b(u). Find the third derivative of w(i) wrt i.\nAnswer: -4200*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -32, 0, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 140d (base 14) in base 16?\nAnswer: dd5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of m**6\/120 - m**5\/20 - m**4\/12 - m**3\/2 + 10*m**2. What is q(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9621178*q**2 - 3*q - 12465567 wrt q?\nAnswer: -19242356*q - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1\/438 + 6355\/1752. What is the common denominator of 57\/32 and x?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((w**4 - 3*w**4 + 0*w**4)*(4 - 4 - 1) + 2*w**4 - 5*w**4 + 4*w**4)*(0*w - w + 3*w).\nAnswer: 6*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.11 + -12270.\nAnswer: -12270.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 4023230 to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 89 = 2*w - 7*w, -4*w = -c + 73. Let v = 21 + w. Suppose -3*a + v = 5*l - 3, a - 9 = -4*l. What are the prime factors of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 12 = 3*h. Let t = 6 - h. Suppose f = t*c - 69 - 196, -5*c - 5*f + 455 = 0. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -5, -1\/3, -2\/7, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (8\/(-10))\/((-25)\/46875*10). Solve h*i = u + 149*i + 5, 4*u + 20 = 5*i for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = 5*s + 35, 66*s + 7 = -3*f + 70*s for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 1372323*o + 1. Let y(g) = 19*g. Give y(u(n)).\nAnswer: 26074137*n + 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l, 1 w, and 1 p when four letters picked without replacement from {q: 2, y: 1, w: 2, p: 5, l: 4, s: 1}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**2\/5 + 320*i + 150784\/5.\nAnswer: 4*(i + 152)*(i + 248)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14816 and 5836.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (1 + 4 + -2 - 7).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 615078?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12130 + -4?\nAnswer: -12134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-1 - 3 - 1)*(4 + 3 - 2) - 5 - 5 + 4)*(-c - 3*c + 3*c)*(-1 + c + 1) in the form g*c**2 + i + s*c and give g.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 8 = 0, -11*l + 4*i = -9*l + 16 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -2*w**2 - 8*w + 132. Let p(x) = -2*x. Give t(p(y)).\nAnswer: -8*y**2 + 16*y + 132","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 40 (b) -2 (c) -0.1 (d) -3 (e) 3 (f) 2231 (g) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24616 - -24615.966986. Let w = u + 0.033. What is w rounded to five dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 47239\/90 - 2598\/5. Find the common denominator of -97\/4 and g.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = -2*s + 10, -5*s - 3*p = -6*s - 11 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 3:50 PM?\nAnswer: 5:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**4 + 24*q**3 + 36*q**2 + 16*q.\nAnswer: 4*q*(q + 1)**2*(q + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 53396617 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -937*x - 38304 = 1079*x for x.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -2*x**2 - 8*x + 20. What is p(-11)?\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 3*r**2 + 2*r**2 - r**2 + (-r - 1 + 1)*(r - 2 + 2).\nAnswer: -3*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/(d*d**(4\/9)))**30 assuming d is positive.\nAnswer: d**(50\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cuua when four letters picked without replacement from {f: 2, u: 2, w: 2, a: 1, c: 2, z: 7}.\nAnswer: 1\/10920","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 8:06 PM?\nAnswer: 5:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 33\/5 of a hour?\nAnswer: 396","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -53*g + 126*g + 50*g - 246 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*1*sqrt(850))\/(sqrt(162) + (-5*(-2*sqrt(162) + sqrt(162)) - sqrt(162))) + -2.\nAnswer: -2 - 4*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -148a (base 11) to base 12.\nAnswer: -1135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 13*z + 565. Let p be h(-44). Let i(t) = -15*t - 4. Let q(l) = -7*l - 2. What is p*q(o) + 3*i(o)?\nAnswer: 4*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -4 * -9.9464\nAnswer: 39.7856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 961*o + 444*o - 49175 for o.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -117*y - 205. List the prime factors of v(-21).\nAnswer: 2, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133242*u + 133219*u + 322 = 0 for u.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 PM and 11:33 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00512 rounded to 3 dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/8)\/((-2)\/12). Let a = -583 + 588. Let h(q) = -q - 2. Let b be h(-4). What is the closest to b in c, a, -3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 201655 is divided by 3666?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.32 + -3.58. Round k to 0 dps.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -771.8 and 0.01486.\nAnswer: -11.468948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -2*k. Let t(o) = -82*o. What is z(t(f))?\nAnswer: 164*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the third derivative of -u**5\/20 - 2*u**2. Let a(m) = -9*m + 7*m + 5*m. Calculate h(a(p)).\nAnswer: -27*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a day in minutes?\nAnswer: 1260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -91\/174 - -2\/87. Let k = -131\/145 - -3\/29. Let y be 10\/70*(1 - -1). What is the third smallest value in x, k, 5\/4, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of z**5\/5 + 3*z**3 - 2. Find the third derivative of h(p) wrt p.\nAnswer: 24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5363 - 2758. Suppose 1516 = -s - 7189. Let a = u + s. Round a to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25*o**2\/6 + 10*o + 15\/2.\nAnswer: -5*(o - 3)*(5*o + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4899 + -4909. Suppose -5 = -2*s + 3. Sort s, -5, o.\nAnswer: o, -5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4680?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8339, -7446, -6551, -5654, -4755, -3854, -2951?\nAnswer: -2046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 223 + -174. Suppose -12*o - 1 + v = 0. Solve -4*c + 5 = 3*i, -4*c = -o*i + 5 + 11 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 PM and 11:16 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-2*sqrt(160)\/sqrt(5) + 0) + (-3*(sqrt(224) - (sqrt(224)*2 - sqrt(224))))\/(sqrt(7) + 2*((sqrt(63) - sqrt(7)) + sqrt(7)) + sqrt(7)))**2.\nAnswer: 3200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + -1 + (1 - -7). Suppose -11*t = -6*t - 210. Let p be 344\/7 - 6\/t. What is the highest common factor of p and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 - 14*i**2 - 37*i + 49. Determine s(-13).\nAnswer: 361","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-25)\/(-125))\/(-4 + 63\/10). Let y = 0.5 + 5.5. Which is the closest to -1? (a) y (b) 1\/2 (c) k (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from gpggggggpggggpg?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 - 37*y**2 - 37*y + 26. What is the remainder when z(-36) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 6) to base 9\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - -2) + -3 + 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -140\/3 - 50*r - 15*r**2 - 5\/6*r**3 = 0. Calculate r.\nAnswer: -14, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 + (42 - (-12)\/(-3)) + 4. Suppose 56 = 16*z - y. Solve 1 - z = -5*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**5\/3 + 2*x**4 - 4*x**3 + 10*x**2\/3 - x.\nAnswer: -x*(x - 3)*(x - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: a (base 14) to base 16\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2596 divided by -649.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6581390 to the power of 1\/2, to the nearest integer?\nAnswer: 2565","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 b when two letters picked without replacement from {p: 1, d: 2, b: 1, h: 1, l: 2, k: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -69 + -133. Let r = 202.0258 + p. Round r to 3 decimal places.\nAnswer: 0.026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in four thirds of a week?\nAnswer: 13440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 455220 (base 6) to base 12.\nAnswer: 1a510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 273*k**5 + 61707*k**4 + 3518001*k**3 + 3570453*k**2 + 113886*k = 0 for k.\nAnswer: -114, -111, -1, -3\/91, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16 + -14. Suppose 0 = p*o + 4, 71 = 2*x + 5*o - 43. Is x a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -20, 5*p + 2*x = -2*x - 196. Let a be (-8)\/p - (-16)\/9. Let v = 3 + 1. Solve 0 = b + v*b - c - 24, -a*b = 2*c for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(2\/51)*k)\/k)**(-11\/3) assuming k is positive.\nAnswer: k**(-22\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -37, 0, -0.3, 5, 1.8.\nAnswer: -37, -0.3, 0, 1.8, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 9372900 to the nearest ten thousand.\nAnswer: 9370000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 11:02 AM?\nAnswer: 8:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 863993?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -13*n**2 + 3*n + 3. Let k(w) = -64*w**2 + 14*w + 14. Let v(z) = 3*k(z) - 14*m(z). Let c(u) = -u**2. Give v(c(a)).\nAnswer: -10*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -70367995078 from -0.3.\nAnswer: 70367995077.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 153*s. Let b(a) = -84*a - 1. Determine q(b(n)).\nAnswer: -12852*n - 153","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -33*w + 11*w + 15*w + 2*w**2 + 13*w to s*w**2 + o + y*w and give y.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 45\/(-9) + 5 + 0. Are z and 4\/1299 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86.2 - 1.06437?\nAnswer: 85.13563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -3*n + 74. Calculate the remainder when 38 is divided by d(17).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*d + 4*a + 21 = 56*d - a - 24, 36 = -4*d + 71*a for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((-2*(4*sqrt(98) - sqrt(98)) + 3 + sqrt(98) + 0)**2 + -1) + 5 + 1.\nAnswer: -210*sqrt(2) + 2464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 3 - 12\/(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 + 3 - 30*v**5 + 20*v**5 + (5*v**2 + v**2 - 5*v**2)*(10 + 3*v**3 - 10).\nAnswer: -7*v**5 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand d**2 - d**2 - d**5 + 68*d**5 - d**5 - 29*d**5 + (0*d**2 + 4*d**2 - 6*d**2)*(-d**3 - 4*d**3 + d**3) + 3*d**5 + 0*d**5 - 6*d**5.\nAnswer: 42*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 + -5. Suppose m*s + 2*z - 5 = 0, z = -4*s - 2*z - 3. Suppose -s*f = -20 - 31. What is the remainder when f is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 - 4. Let r be 10 + -9 - (-1 - 1). Find the third derivative of 2*i**2 - t + 7 + 2*i**r wrt i.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136) + (sqrt(136) - sqrt(136)*2 - sqrt(136)))*1)\/(sqrt(80)\/(sqrt(10)*-2)).\nAnswer: 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 108 - 74 - 4*s**2 - 34.\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 45*l**2 - 2*l**4 - 45*l**2 + (604*l**2 - 1 - 993*l**3 + 512*l**3 + 482*l**3)*(0 + 0 - 2*l) as n*l**2 + r*l**3 + z*l**4 + c*l + j and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6.79973 + -6.8. What is p rounded to 4 decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b749a - -4?\nAnswer: -b7496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of -11*f**4\/6 + 4*f**3\/3 + 9*f**2\/2 + 4*f - 9. Let u be y(-1). Is u bigger than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5449554, 10899076, 16348608, 21798156, 27247726?\nAnswer: 32697324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -1690*u**2 - 16843*u + 27. Give g(-10).\nAnswer: -543","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 84852 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than -52\/5539?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.1, -13, -2\/43, -7 in descending order.\nAnswer: 5, -2\/43, -0.1, -7, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 - 25. Suppose -26*g + 30*g + 40 = 0. Let i = g - n. Calculate the remainder when i is divided by 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 + -4. Suppose 0 = -a + 6*a + 15. Put a, 2, y in ascending order.\nAnswer: a, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7945.\nAnswer: 5, 7, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and 66874723?\nAnswer: 20062416.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03 take away 3.43?\nAnswer: -3.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - 1. Let d = 3 + 1. What is the third smallest value in d, 0.1, w?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = -7*v - 4*q + 9, 0 = -5*v + 5*q - 20 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.8 * -2597854.\nAnswer: 2078283.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 x when two letters picked without replacement from {t: 5, x: 4, w: 2, f: 8}?\nAnswer: 32\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 + w - 3. Let r be 5 - ((1 - 1) + 2). Let q be a(r). Suppose 2*v = 3*v - q. List the prime factors of v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2*s + 4. Let l(v) = -2*v + 3. Let y(r) = -4*l(r) + 3*u(r). Let b(z) = -55*z**2 + 9*z**2 + 55*z**2. Give y(b(h)).\nAnswer: 18*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105*g + 15360 + 3298 = 1087*g for g.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 15*v - 30. What is the tens digit of i(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 3*x = -1, -1 = -5*x + 4*x. Let j = 0 - -2. Suppose 0 = j*v - 3*w - 17, 2*v + 3*v = -w. What is the biggest value in y, 3, v?\nAnswer: 3","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 mumummmmmmmmm.\nAnswer: 11\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 12*k + 16 = 16*k + 34, 5*n = -2*k + 69 for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4311 (base 8) in base 14?\nAnswer: b69","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5172, 10154, 15158, 20196, 25280, 30422?\nAnswer: 35634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -586.8 + 586.9. Put -1\/7, i, 60 in decreasing order.\nAnswer: 60, i, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of 3*p**7\/35 + 7*p**4\/8 + 47*p**2. What is the second derivative of o(k) wrt k?\nAnswer: 216*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 997\/5182?\nAnswer: 997\/5182","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 3*r = 0, 0 = b + r - 4*r. Suppose -2*p - 4 + 16 = b. Calculate the smallest common multiple of ((-4)\/9)\/((-5796)\/(-486) - 12) and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 3*a - 22*a**2 + 3*a + 0.\nAnswer: -22*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 + -0.1658.\nAnswer: 2.8342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 31*s - 18. Let f be a(1). What is the third derivative of -97*h**2 - 2*h**6 + f*h**6 + 9*h**2 wrt h?\nAnswer: 1320*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*n - 12*n + 27*n - 21 = 2*p, 2*n + 5*p = 8128 - 8164 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 28? (a) 0.4 (b) -4 (c) -3 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 0 + 1\/2*j**3 + j**2 + 1\/2*j = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -183073 = -9*t + 17465. Is t a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9\/8? (a) 5 (b) -22 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 less than -769?\nAnswer: -769.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4\/12)\/((-5)\/(-45)). Suppose s - b*s - 16 = 0. List the prime factors of s\/(-4)*(-106)\/(-4).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 14*x**2 - 9*x + 11. Is 76 a factor of b(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f - 4 - 13 + 5.\nAnswer: -3*f - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millennium in centuries?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 152 + -141. Suppose -n*g = 3*d - 7*g - 19, -3*d + 3*g = -12. Solve 10 = 2*o + 2*h, 0 = 3*o - 0*h + d*h - 21 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of 187*h**3\/2 - 2*h + 768. Let p(o) = 3*o. Determine t(p(f)).\nAnswer: 1683*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of 50*k - 150 + 2*k**3 - 1\/10*k**4 - 15*k**2. Factor v(m).\nAnswer: -2*(m - 5)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 7, b: 5, t: 4}. Give prob of picking 2 d and 2 t.\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*p - 16 = 9*p - 3*r, 2*r = -6 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(325) - (-3 + sqrt(325)))*4*3)**2.\nAnswer: 1089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.1 + 1. Let c = -546\/5 + 549\/5. Let v = -3 - -4. What is the closest to v in s, 2, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 - (-34)\/(2 + 0). Let m = y - 12. Calculate the lowest common multiple of 12 and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -3*t + 11. Let l(s) = 6*s - 2 + 13*s - 34*s + 3*s + 6*s. Determine h(l(p)).\nAnswer: 18*p + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -44417 (base 8) to base 9\nAnswer: -27581","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1295515779 * 2.\nAnswer: -2591031558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19494 divided by -1026.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -4\/9, -3, 22, 1, -4?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 - 9*w**2 + 9*w - 10. Let u be j(-10). Let y be (55 - (-143)\/(-13)) + -14. Solve g + 5*g + y = u for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 10*z = -5*b - 56, -z - 24 = 5*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2 - 2*b + 3. Let g(v) be the third derivative of v**5\/60 - v**4\/8 + 2*v**3\/3 - 3*v**2. Calculate 3*a(n) - 2*g(n).\nAnswer: n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)\/(sqrt(20)\/sqrt(2) + sqrt(10)) - sqrt(450))**2.\nAnswer: 841\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 AM and 6:47 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 16*n**4 - 2*n + 125.\nAnswer: 64*n**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 1652 = -p, -5*p + 2*a + 5761 = -2521. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -5. Suppose -p + t + 50 = -3*t, 0 = -i*p - 5*t + 74. What is the tens digit of 2\/7 - (-408)\/p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -465 minus 82.1472?\nAnswer: -547.1472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - x + 725 = 0, 3*i + 4*x = -492 + 57. Let n = -662 + 6667\/10. Calculate the common denominator of n and i\/10*2\/(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -96*m**3 - 7*m**2 + 5*m - 2. Let f(v) = 48*v**3 + 3*v**2 - 2*v + 1. Determine 5*f(i) + 2*g(i).\nAnswer: 48*i**3 + i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 95*d - 39. Let z be g(4). Suppose w = 4*q + 244, 0 = -3*w + q + 435 + z. What are the prime factors of w?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12.7 + 1.7. Let f = 2 + l. Let n = f - -8.6. Which is the nearest to -0.1? (a) -1 (b) -0.2 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 334*w - 3586 = 8*w for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 225 a factor of 1503310275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - t - 1032. Suppose 3*y + 205 = 2*l + 4*y, -5*l = -y - t. What are the prime factors of l?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s**3 + 186770*s**2 - 1743964860*s - 3488676840 = 0.\nAnswer: -2, 18678","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*o**3 - 208*o + 31*o**2 + 3 + 233*o - 25*o in the form m*o + s + k*o**3 + b*o**2 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -2*t**2 - 78*t + 5. Calculate n(-39).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/23)*(n**(-1)*n)\/n)**28 assuming n is positive.\nAnswer: n**(-588\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -ab - b?\nAnswer: -ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.0400009 + 0.04. Round m to six dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, -3, 2, 424 in descending order.\nAnswer: 424, 4, 2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of j**4\/12 + 49*j. Let o(s) = -14*s + 35*s + 48*s. What is r(o(g))?\nAnswer: 4761*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (155\/93)\/(2 - (-672007)\/(-336021))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59 - 11*x - 2*x**2 - x**2 - 17*x.\nAnswer: -3*x**2 - 28*x - 59","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 557709857 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 240 divided by 314859\nAnswer: 80\/104953","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w + 2. Let l be ((-3)\/(-6))\/((-4)\/(-8)). Let r be z(l). Suppose -14 = -5*h + r. What is the remainder when 11 is divided by h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 4*v - 28, -2*v - 7 = 4*h + 3. Suppose -i - 10 = -3*l, -4*i - 5 = 4*l + v. Solve 0*n - 8 = -l*n - 4*q, 0 = 5*n - 5*q + 10 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*6*(5 + -2 + sqrt(300) + 0)*1 + 1)**2 + 3.\nAnswer: 77040*sqrt(3) + 400252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2504 and 262.\nAnswer: 328024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 2:52 AM?\nAnswer: 3:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2*z**2 - 9*z - 7. Let x be l(7). Find the common denominator of 1*(x\/(-10) - -1) and 145\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 15\/7 or -5356?\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (1 - -2)*(-14)\/(-42) and (14\/(-8))\/(8\/(-32)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2 + 11*j - 18. Let f be t(10). What is the closest to 1 in f, 0.4, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*x - 6*x - 11*x.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 - 4*v**2 + 8*v - 8. Let b(s) be the first derivative of 2*s**2 - 28*s + 11. Let o be b(8). Does 6 divide d(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 5*h**2 - 10063*h + 40179. Give a(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1228150 and 47.6.\nAnswer: 1228197.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36200093 is divided by 42.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) 164 (c) 18 (d) 16\/7 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 3 - 22 = -5*s, 10 = d + 2*s. Let a be -1 + -1 + (3 - 2). Sort a, d, 4.\nAnswer: a, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 divided by -14594.\nAnswer: -5\/7297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + -10b3?\nAnswer: -10b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6\/581 + 43587\/1162. Find the common denominator of 17\/64 and y.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (40 - 40 + 30*q)*(q + 2*q - q)*(4*q - 4*q + 2*q) to the form h*q**3 + w*q + m + l*q**2 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 363?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a day in minutes?\nAnswer: 1260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 AM and 9:19 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a kilometer in meters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - -1 - (-2 + 0 + 7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/18 + 4\/(-18))\/(-1). Solve 34*s**2 + 5*s - 16 - 32*s**2 + 9*s + p*s = 0.\nAnswer: -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = -a + 28, 3*a + 5*v = -a + 37 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (66*u + 89*u + 73*u + 5*u)*(-10*u**2 - 21*u**2 - 14*u**2) to a*u + o*u**3 + l + r*u**2 and give o.\nAnswer: -10485","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together -9.8 and -0.23.\nAnswer: -10.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1244 - -240102\/193. Which is smaller: g or 1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 3*r + 6. Let d(z) = 1. Let y(j) = j**2 - 14*j - 20. Let l be y(15). Give l*d(a) + i(a).\nAnswer: 3*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1887*f**2 - 2565*f**2 + 1737*f**2 to b + t*f**2 + y*f and give t.\nAnswer: 1059","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -886*i + 13 - 4*i**2 + 7*i**2 - 915*i + 1828*i - i**2 to the form y*i + m*i**2 + k and give k.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30, -58, -86, -114, -142?\nAnswer: -170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/5*(-65)\/65*(-2)\/(-2)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*v - 44 + 0 + 9 - v + 0*v to d*v + b and give b.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -135 + 166. Let o = 71 - z. Calculate the greatest common divisor of 70 and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 4*(5 + (-2 + sqrt(128)*-2)*4))**2.\nAnswer: 7680*sqrt(2) + 131297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (-42)\/(-7) - (-14)\/10.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/2259360 and 101\/62760?\nAnswer: 2259360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003781792 rounded to six decimal places?\nAnswer: -0.000378","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 100282 + -63896. What is the ten thousands digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4 (b) 5 (c) -715\/103 (d) -3 (e) 1\/14\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1859873 is divided by 212.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + 7a?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g**3 - 26610303*g**2 - 26610302*g = 0. What is g?\nAnswer: -26610302, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 3:56 AM?\nAnswer: 3:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 2*g + 32. Let y be (-1)\/7 + 1456\/(-98). Calculate w(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a**5 - 146*a**4 + 287*a**3 + 146*a**2 - 288*a = 0. What is a?\nAnswer: -1, 0, 1, 2, 144","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 3 - 6 = 0. Suppose -4*l + 196 = -v*n, 5*n = -3*l + l + 98. Does 22 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/((-567)\/(-6)))\/((-77)\/21 - -4).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 22*f**2 - 21*f + 65. Let z be 11\/22*-8*(-2)\/2. Is w(z) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1763*n + 1852*n + 2035*n)*(0 + n + 0).\nAnswer: 5650*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = -4*t + h - 4, -5*h = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 16 - 2 = 0. Suppose 4*s + m*s = -3*s. Solve s = 3*n + 3 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(1\/42)*a**(8\/5)*a assuming a is positive.\nAnswer: a**(551\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 4. Suppose -5*c + 2*d - d = -42, 3*d - 18 = -3*c. Suppose -1 = v + i + 4, j*v - c = 4*i. Let u(p) = 2*p**2 + 1. What is u(v)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**15\/i*i*i)\/((i\/i**(1\/18)*i)\/i*i))\/(i**3)**(-1\/33) assuming i is positive.\nAnswer: i**(2801\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, 0.14, -53\/5, -0.5?\nAnswer: -53\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1397, 58 in decreasing order.\nAnswer: 58, 2, -1397","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide (-31)\/(93\/6)*-179*14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (76 - y**3 + 2*y**2 - 76 - 1 - y**3 + 1 + (5 - 5 - 2*y)*(2*y**2 - 3*y**2 + 2*y**2) + y**3 - 2*y**2 + 2*y**2)*(31*y**2 + 3*y**2 + y**2).\nAnswer: -105*y**5 + 70*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(540)*2)\/sqrt(6))\/((sqrt(200) - (sqrt(200) + -1*sqrt(200))) + sqrt(200) - sqrt(18)\/(sqrt(18)\/sqrt(2))).\nAnswer: 6*sqrt(5)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -28 + 19. Let t be 3 - (4 + v\/12). Suppose 4*l = -0*l. Sort t, -0.4, l in decreasing order.\nAnswer: l, t, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 569 divided by -19\nAnswer: -569\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -8953 (base 15) to base 4\nAnswer: -13012233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of -b**5\/12 - 2*b**3\/3 + 6*b**2. Differentiate q(m) with respect to m.\nAnswer: -10*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/(-6))\/((-6)\/54). Let g(a) = -a**2 + a - 1. Let c(p) = -p**2 + 1. Let u(x) = x + 11. Let n be u(-12). Let m(v) = n*g(v) + 2*c(v). What is m(o)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + -14 + (29 - (1 + -4)).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.34 * -7.\nAnswer: -2.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 352 by -176.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 78172599?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50865 is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2870.\nAnswer: 2, 5, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1809 and 1082511.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13063.1 + -11792. Let m = -1271 + p. Let q = 3 - 2. Which is the fourth biggest value? (a) q (b) m (c) -2 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 670 (b) -0.06 (c) -4 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -167829 = -122*o - 170513 for o.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 PM and 12:22 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-13 - -11) + (5 - 0). Suppose 0*j = -b*j + 9. Suppose 3*i + f - 1 = 5, 4 = 2*i - j*f. Solve 4*l = i*l + 4*g + 2, 0 = 3*l + 5*g + 8 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18 - -22) + 10 - 0?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 - -1) + (-6)\/21. Let z = 8 - 8.9. Which is the closest to x? (a) z (b) -1 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 + 10*p**2 - 8*p - 4. Let f be l(9). Suppose s + f = 2*s. Solve 5 = -5*c - s*n, 3*n = -3*c - n - 7 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 12769 - 6387 - 129*k - 6382. Let m(u) = -28*u. Calculate m(o(q)).\nAnswer: 3612*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 668 < -1.12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a micrometer in nanometers?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 45, 95, 147, 201, 257, 315?\n\"Answer: q**2 + 47*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - a + 184 = -2*y, -3*y = -a - 266. Suppose 10*q - 5*q - y = 0. What is the greatest common divisor of 12 and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 PM and 5:21 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0025707351 rounded to 6 dps?\nAnswer: 0.002571","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the third derivative of g**7\/105 + 29*g**6\/60 + 28*g**3\/3 - 81*g**2. Differentiate j(f) wrt f.\nAnswer: 8*f**3 + 174*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -211, -265, -327, -403, -499?\nAnswer: -621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of -t**4\/2 + 2*t**2 - 3*t. What is the first derivative of b(r) wrt r?\nAnswer: -12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*h = 70*h, 5*g + 4*h = 1215. Calculate the remainder when g is divided by 50.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 1178*a. Let n(h) = -41*h. Calculate n(y(f)).\nAnswer: -48298*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 194 and 50?\nAnswer: 4850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -296731\/260 - -15196\/13. Let g = n - 109\/4. What is the biggest value in -1, g, -4\/7?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15394405?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 167*v + 376*v - 8721 = 372*v for v.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 6) to base 8\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 535955 and 3955.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.870206 + -1.87. What is y rounded to 4 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -157\/10320 and -26\/10707.\nAnswer: 856560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10852782 and 615.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of -117*j**5\/5 - j**2\/2 + 3956*j - 329. Differentiate h(z) wrt z.\nAnswer: -468*z**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -48 - -732. Calculate the highest common factor of c and 76.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 PM and 9:56 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 + 6*p**2 + 9*p - 5. Let l be h(7). Let o = 4 - l. Let i be (-2)\/o - 12\/105. Is i greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98) - -4*sqrt(98)*1)**2*1 + 3 + 4.\nAnswer: 2457","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/15429747 or -1?\nAnswer: 1\/15429747","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 AM and 11:15 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or -139.79?\nAnswer: -139.79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -439, -876, -1315, -1756, -2199, -2644?\nAnswer: -3091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6057 - 1655. Calculate the greatest common divisor of 186 and d.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75737 to the power of 1\/2, to the nearest integer?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -601 (b) -40 (c) -3 (d) -4 (e) -1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 4*h. Let l(j) = j + 372 - 3*j + 2*j - 314 - 5*j**2. Give l(x(d)).\nAnswer: -80*d**2 + 58","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:23 PM and 5:22 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 976?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 451 - 13. Let q be t\/(-2)*2\/(-6). Suppose 0 = -4*i + i - 2*s + q, 27 = i + 2*s. Find the common denominator of 41\/4 and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1663, -6929, -15705, -27991, -43787, -63093, -85909?\n\"Answer: -1755*q**2 - q + 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 12*j**2 + 202*j + 18. Determine r(-17).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of z**4\/12 + z**3\/6 + 7*z**2\/2 + 9*z. Let j be n(0). Solve -2*p - 4*x + j = 1, -5*x + 3 = -2*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = -3*p + 4*h, p - 2*h + 1 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 170+853850\nAnswer: 854020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t**4 + t**4 + 3*t**4)*(-1 - 4 + 4) + 11*t**4 - 11*t + 11*t.\nAnswer: 10*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*f - 35*f + 0*f.\nAnswer: -39*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1500)\/216)\/(-25)*(-8)\/(-10)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 AM and 2:41 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-2*sqrt(1078))\/((sqrt(2) - 1*sqrt(2) - sqrt(2))*2 - sqrt(2) - sqrt(24)\/sqrt(192)).\nAnswer: -224*sqrt(11)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -13*y - 741. What is k(-59)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -2*i - 207. Let a(z) = -15*z**2. What is r(a(s))?\nAnswer: 30*s**2 - 207","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 171973777 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 + 7*i**2 - i + 9. Let w(x) = x**3 + x**2 + 7. Let m be w(0). Let o be y(m). Suppose -o*q + 190 = -0*q. Round q to the nearest 10.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -9*x - 5. Let r(f) be the second derivative of -f**3\/3 - 7*f**2\/2 + 6*f. Let n be r(-7). Let u(c) = -8*c - 4. Give n*u(m) - 6*q(m).\nAnswer: -2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/21031 at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 257 (base 14) to base 3.\nAnswer: 122101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20 - -19. Does 30 divide f\/(((-3)\/(-9))\/(142\/(-3)))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/2988 and -97\/1884945.\nAnswer: 1877405220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -152*p + 7219*p**4 + 69*p + 1202 + 83*p wrt p.\nAnswer: 28876*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*q + 19*q - 3*x = -11, -23 = 2*q - 7*x for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 2) + -2 + (3 - 2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l**2 - l - 2. Let f(s) = -7*s**2 + 27*s + 104. Let m(u) = f(u) + 6*h(u). Calculate the least common multiple of m(-4) and 24.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 0.2 (c) -7 (d) 28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1*(-764023)\/117*-9 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 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: What is -1 (base 10) in base 11?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 4*n - 26, -2*a - 4*n + 11 + 5 = 0. Let r(b) = -2*b**2 + 2 + 0*b**3 + b**3 - 4*b**2. Calculate the lowest common multiple of 9 and r(a).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 330 divided by -33.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 149 = 31*j, -15*z - 12*z = -4*j - 9*z + 34 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/1 + (-5)\/10*-674. Let v = -122 + a. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -8627, -17288, -25945, -34598, -43247?\n\"Answer: 2*u**2 - 8667*u + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 3*k. Let l(r) = 294*r. Determine a(l(t)).\nAnswer: 882*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 125995 to the nearest integer?\nAnswer: 355","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-3*sqrt(960))\/(sqrt(36)\/(sqrt(12)\/sqrt(4))) + (sqrt(2000) + 1 + -1 - (sqrt(2000)*1 + -3))**2.\nAnswer: 9 + 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/72 and -155\/89718.\nAnswer: 1076616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - -17. What is the remainder when 53 is divided by z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3479\/1046615 - 3\/2395. Let u = -3937\/874 - k. Let i = -0.3 - -0.4. Which is smaller: i or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 77, 148, 219, 290?\nAnswer: 361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 5*k + 10, -c + 3 = 2*k + 7. Let x(l) = l - 8. Give x(c).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9669345 millimeters in micrometers?\nAnswer: 966.9345","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 82, -1 in ascending order.\nAnswer: -1, 5, 82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.318 - 0.772. Let q = 0.046 - m. Let z be 2\/(-4) - (-10)\/16. Put z, q, 0.1 in descending order.\nAnswer: q, z, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-1))\/(2\/(-10))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 365368 is divided by 182683.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -158*z**2 + 1. Let l(p) = p**3 - p + 1. Determine d(r) - l(r).\nAnswer: -r**3 - 158*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2\/3 - 37996*t\/3 + 3715962.\nAnswer: -2*(t - 289)*(t + 19287)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43121 is divided by 3079.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 769 is divided by 231.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 144157?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -79.68 + 80. Let s = -0.3199941 + d. Round s to 5 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-148570 + 148570 + 5*c**2 + 203*c)*(-1 - 2*c - 1 + 0*c) as p*c**2 + f*c + o + l*c**3 and give p.\nAnswer: -416","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126 = -a - 108. What is the tens digit of 2910\/a*42\/35?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 637661507?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 71 - 68. Which is the second biggest value? (a) 0 (b) q (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*1\/(-3)*13*-3.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 1 = -1. Let x be t + (0\/(-1))\/3. Suppose 0 = x*i - 0*i - 70. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000228 rounded to 4 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 9900 to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16066 and 9972?\nAnswer: 554","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 41 - 32 - (0 - (-2 + -3)). Calculate the highest common factor of 244 and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*h - 5*x - 5, 2*h + 3*x = -0*h - 18 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4 - 3\/(-6))*2. Let n(u) = -u**2 - 7*u. Let m be n(-6). Let d be 1 + -1*m\/2 + 4. Solve 0 = d*k - r + 1 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/10? (a) -0.3 (b) -73 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 1:25 PM?\nAnswer: 11:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -24190679 + 4?\nAnswer: -24190675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33600*0.2.\nAnswer: 6720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -4*k**3 + 880*k**2 + 287428*k + 3049904 = 0.\nAnswer: -172, -11, 403","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 195 + -195.42. Let i = -41124702 + 41124702.42000017. Let f = i + y. What is f rounded to seven dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1720 = 14*n - 2*n - 1912 for n.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -152 - -87. Let j be (4\/a)\/((-2)\/(-10)). Which is smaller: -1 or j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2*t**2 + 2*t. Let r be n(-2). Let b(q) = q - 1 + 2 + r. Let g(f) = -7*f + 3233 - 3218 + 10*f. Determine -11*b(l) + 4*g(l).\nAnswer: l + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84 is divided by 34?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -26 + 30. Let v be -3*(k + -8) + -3. Suppose 0 = -y + 4*h + 20, y - 6*y = 3*h + v. Sort 3, 1, y in decreasing order.\nAnswer: 3, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 13*v**2 + 18*v - 7. Let o(l) = 7*l**2 + 9*l - 4. Let t(n) = -4*m(n) + 7*o(n). Factor t(g).\nAnswer: -3*g*(g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14639857 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3\/1*(-8)\/(-16)*(-60)\/(-6)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 6*d = 40 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 478 is divided by 21?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of s**5\/60 + 7*s**3\/6 + 3*s**2. Let k(d) be the first derivative of b(d). Let z(x) = 6*x. Calculate k(z(g)).\nAnswer: 12*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -382 - 29 - 154 - 3*a - 441 - 185 in the form y + j*a and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4.5? (a) -7 (b) 2\/73 (c) -0.2 (d) -0.1 (e) 1\/267\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 79*o**2 + 6*o - 4. Let b(j) = 5173*j. Give v(b(c)).\nAnswer: 2114034391*c**2 + 31038*c - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 2397428\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2275219943 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 25*g**2 + 12*g - 3. Let f(r) be the third derivative of -r**5\/5 - r**4\/4 + r**3\/3 + r**2. Let j(a) = -5*f(a) - 2*y(a). Factor j(d).\nAnswer: 2*(d + 1)*(5*d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 + 5*o**2 - 3*o - 1. What is the lowest common multiple of d(3) and 6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 239, 844, 1867, 3320, 5215, 7564, 10379, 13672?\n\"Answer: 2*d**3 + 197*d**2 + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15 or -1737\/115?\nAnswer: -1737\/115","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-6)*(0 - -3). Let d(q) = h + q**2 - 6 + 15*q + 21*q - 37*q. Let y be d(0). Let i(l) = l - 5. Let r(v) = -1. Determine y*r(s) + i(s).\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 1 - 13 = 2*r, -3*r + 16 = -z. What is the third derivative of 37*a**2 - 12*a**r + 207 - 207 wrt a?\nAnswer: -288*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 5*a - 1. Let m = -254 + 258. Let g(h) = -6*h + 2. What is m*g(f) + 5*v(f)?\nAnswer: f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 32 or 19213\/619?\nAnswer: 19213\/619","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 - 2. Let b(k) be the second derivative of -3*k**5\/20 + k**4\/12 - 3*k**2 + 62*k. Let p(j) = -4*b(j) + 11*t(j). Determine p(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72466 is divided by 179.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15 and 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*d**5\/7 + 330*d**4\/7 + 13366*d**3\/7 + 33654*d**2\/7 - 123380*d\/7 = 0. What is d?\nAnswer: -31, -5, 0, 2, 199","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of 0*r - 77\/12*r**4 - 12*r**3 + 49 - 2*r**2. What is the derivative of y(h) wrt h?\nAnswer: -154","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.893288ml to litres.\nAnswer: 0.005893288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-72)\/(-9))\/(-8)*1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*p + 5 + p - 5.\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2*t + 2. Let h be z(1). Solve -9 = -h*c + 3*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 = -4*q + 84. Suppose -m - 2*g = q, 0*g + g + 9 = 4*m. List the prime factors of (1\/(-1) + 49\/m)*4.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1486848 and 1486819 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 142245679 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 2 = 77. Suppose -2*p - 124 - 18 = 2*u, -12 = -4*u. Let y = t - p. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 3*o + 1. Let w be p(1). Suppose w*f = 7*f + n - 2, 4*n = f + 21. Let y be f\/(-2)*-2 + 4101. Round y to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -2 + 0 + 3*s + 0 + 4. Let g be h(1). Suppose -3*t - 19 - g = -3*q, -4*q + t + 26 = 0. What is the lowest common multiple of 14 and q?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven halves of a year?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 188849123 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.64 + -0.14. What is the third smallest value in 3\/5, -0.3, a, 2\/9?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/2 and 65\/(-4) - 5\/(-20).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggggggggg. What is prob of sequence gg?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 2 t, and 1 j when four letters picked without replacement from tjjfjfgjt?\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 PM and 3:22 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-15) - ((-3620)\/(-75))\/(-2). What is the greatest common factor of 872 and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 AM and 2:23 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 + 7*w**2 - 10*w + 2. Let q be f(-8). Calculate the greatest common divisor of 9 and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 392338963 to the power of 1\/5, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*z**3\/5 + 6*z**2 - 48*z\/5 + 24\/5 = 0. Calculate z.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1330131369?\nAnswer: 3, 7, 67, 945367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33 + -27 - (1 - 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (15\/12 - 1) + 72\/333 and 89\/2.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, 1, -2\/3, 0.1 in decreasing order.\nAnswer: 25, 1, 0.1, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/u**0)*u*(u\/(u**(-6)\/u))\/u)\/((u**(-2)*u)\/u*u*(u*u*u\/u**(-1\/5))\/u) assuming u is positive.\nAnswer: u**(34\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 73863, 73426, 72989, 72552, 72115, 71678?\nAnswer: 71241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -63, 4, 5, -48, -1, 2 in increasing order.\nAnswer: -63, -48, -1, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 5 + c**2 - 5 + 7 + 7*c. Calculate i(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of -1\/3*p**3 + 0 - 3*p + 0*p**2. Let w(f) = -1235*f - 2 + 2 + 2468*f - 1235*f. Determine x(w(y)).\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3182795?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -20*b**3 + 2*b**2 - 4*b + 3. Determine j(1).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/6 - 2695\/1029.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15503?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25 + -20. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-416)\/16 + 18 + 623\/630 + 7?\nAnswer: -1\/90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2851 is divided by 62?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 + 22*f**2 - 125*f + 166. Determine q(14).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 161 - 362. Let z = 200.7 + k. Let m = -461\/28 + 110\/7. Which is the nearest to 0.1? (a) -0.2 (b) z (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 4.0818g in nanograms?\nAnswer: 4081800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -68397, -136804, -205199, -273576, -341929, -410252, -478539?\nAnswer: -546784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 241775353.\nAnswer: 37, 89, 73421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 less than 76.481?\nAnswer: 78.481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5307 + 132711\/25. What is the common denominator of -8\/155 and k?\nAnswer: 775","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 621 + 131. Suppose 197 = v - 3*f + 44, y = 5*v - 2*f. Is 25 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/52162 and 71\/99.\nAnswer: 469458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 905*o - 630 = 950*o for o.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*i + 444 = 110*i - 1476. Solve 87*b + 189 = i*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 3*m = -2659, 5 = m - 6*m. Let p be v\/(-212) + (-4 - -1). Let l = 1354\/583 + p. Find the common denominator of -19\/8 and l.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 217 - 217.00133. Round v to 4 decimal places.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 301*t**2 + 326*t**2 - 496*t**2 + 46 - 46 - 11*t**2 + (1 - 3 + 0)*(-1 + t**2 + 1).\nAnswer: 118*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124087 is divided by 41296.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3 + 2)\/(3\/(-9)). Suppose p*d = 10*d - 7. Solve d = -2*u + 3 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o - o**2 + 7 - 2 - 9. Give r(3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 + -4. Suppose 2*c = v*c - 112. Let y = -16 + c. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1492.3 + 1490.70075. Let n = l - -1.6. What is n rounded to four decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2 - 25*b + 323. Calculate j(10).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of j**5\/30 - j**4\/12 + 4*j**2 + j. Let h(k) be the first derivative of t(k). Solve h(i) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*u**3 + 1 + 36*u**3 - 1.\nAnswer: 27*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cfksghc. What is prob of picking 1 c and 1 h?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 - 2\/4)*2674\/(-21) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1262.\nAnswer: 2, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -563, -551, -529, -491, -431, -343, -221?\n\"Answer: d**3 - d**2 + 8*d - 571","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-6))\/(1\/(-30)*10).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(28)*-4)\/(sqrt(4) + (sqrt(484) - (sqrt(484) + sqrt(484)*-2))) + 2.\nAnswer: 4*sqrt(7)\/23 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -62989058\/146115 - 2875\/3247. Let v = l - -432. Is v less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -144 - -155. Solve -a*v = -20*v - 9 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-450)*15*10\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 86657.706ns to hours.\nAnswer: 0.000000024071585","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21\/47 + 377\/423. Suppose 0 - 2\/9*w**2 + f*w = 0. Calculate w.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 + 11\/(-5))\/(9\/(-225)). What is the highest common factor of 35 and n?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/306 and -41\/171.\nAnswer: 5814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 187791 is divided by 266.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 153, 1, -4178, -47 in increasing order.\nAnswer: -4178, -47, 1, 153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -15\/11 <= 0.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (19\/((-380)\/(-675)))\/((-1990)\/1592)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1\/(3920\/(-785) - -5) is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 218*o**4 + 90*o**3 + o**2 + o - 17343?\nAnswer: 2616*o**2 + 540*o + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6246514991?\nAnswer: 8707, 717413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 154 a factor of 3309241855?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of -v**4\/28 + 2*v**3\/21 + 3*v**2\/14 + 12. Factor f(p).\nAnswer: -p*(p - 3)*(p + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5924593.\nAnswer: 23, 257591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 4)*(-4 + 5 + 0 - 4*n**3).\nAnswer: 16*n**3 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 - 7*d + 2. Let c(y) = 2*y**2 + 20*y - 6. Calculate 5*c(o) + 14*g(o).\nAnswer: -4*o**2 + 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 283 + -190. Calculate the remainder when f is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes after 1:17 AM?\nAnswer: 6:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and -1037398.1.\nAnswer: 5186990.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(192)\/(sqrt(12)\/sqrt(3)) - (-5 + sqrt(18)\/(-1*sqrt(6))) - ((sqrt(12)\/(2*sqrt(4)) - (sqrt(192) + sqrt(192) + -3)) + 3)**2.\nAnswer: -3007\/4 + 191*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 6*l + 57 = 3*l, -2*f = -l - 29. Suppose 4*s + d + 12 - 4 = 0, 0 = 5*s - 5*d - f. Which is the biggest value? (a) 0.02 (b) s (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -2 - 7 + n + 9. Let q = 189 - 177. Let m(b) = -2*b**2 - 42*b + 0*b**2 + q + 42*b. What is j(m(g))?\nAnswer: -2*g**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65*z + 33*z - 15*z + 40*z.\nAnswer: 123*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -174 = 11*h - 218. Find the second derivative of -52*m + 59*m**h + 13*m + 180*m**4 wrt m.\nAnswer: 2868*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2)\/k)\/(k\/(k*k**1*k))*(k*k**(-1))**(6\/11)*k**(-2\/27)\/k**3*(k\/(k**2\/k)*k*k*k*k*k)\/k*k**7 assuming k is positive.\nAnswer: k**(187\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.062 (b) 0.138 (c) -5 (d) -1 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.3 - -0.1. Let p be ((-4)\/(-3) + 0)*9\/(-78). Which is smaller: p or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - 7 - (5 - (-1 - -3)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 5, r: 3, q: 1}. What is prob of picking 2 r?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a**(-9\/5)*a**(-2\/11))\/(a*a*a\/(a*a*(a\/(a**(-13\/2)*a))\/a*a)*a*a**(5\/2)) assuming a is positive.\nAnswer: a**(111\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3 + 19\/(-3))*-24. Let i be (-142)\/(-7) - 60\/210. What is the greatest common factor of b and i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -2*c**2. Let z(g) be the first derivative of -3\/2*g**2 + 0*g**3 + 0*g + 3 + 1\/8*g**4. Let b(w) be the second derivative of z(w). What is b(o(i))?\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of g**5\/15 + 17*g**2. Let f(w) = 2*w. Calculate f(a(s)).\nAnswer: 8*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-63)\/(-6)*(-4)\/(-56)*-1.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 11:10 AM?\nAnswer: 8:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*5\/10)\/((-1749)\/(-88616))?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - -8. Let q(o) = -3*o - 6. Let l(j) = 2*j - 5. Let c(t) = 3*t - 6. Let r(p) = -3*c(p) + 4*l(p). Let n(g) = w*r(g) - 3*q(g). What is n(-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1379736 and 8968284.\nAnswer: 17936568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6313 and 107?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (-1 + sqrt(288) + -2 - (sqrt(288) - (-4 + sqrt(288)*3 - sqrt(288)))))**2.\nAnswer: -432*sqrt(2) + 1233","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 - (-2)\/1 - 2. Let m(y) = y**2 + 8. Does 8 divide m(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -156*x**4 - 76567*x**3 + 38778637*x?\nAnswer: -1872*x**2 - 459402*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -6 + 3*d - 2*d + 4*d**2 - 2*d**3 + 4*d**3 + 0*d. What is the units digit of t(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 775, -115, -1, 1\/5 in descending order.\nAnswer: 775, 4, 1\/5, -1, -115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -95 - -92. Let y be (-6 - -8) + (0 - o) + -3. Differentiate 10 - y*g + 2*g - 8*g**4 - 1 wrt g.\nAnswer: -32*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - 2. Suppose q = y - 29. Suppose -4*p - 114 = 2*n, -4*p + 49 = -3*n + 158. Is p >= q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8855*s**5 - 4*s - 53.\nAnswer: 177100*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 2, -16, -7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 23941083 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 46\/11 and -17\/518.\nAnswer: 5698","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37625663 is divided by 64.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of u**2 - 2*u - 102. Let c(v) = v - 3. What is 4*c(z) - 5*s(z)?\nAnswer: -6*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -q**5\/2 - 143*q**4\/2 + 18972*q**3 = 0. Calculate q.\nAnswer: -279, 0, 136","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7282 - -3578. Is 10 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8344.3 + 942152.\nAnswer: 933807.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3\/4 + -1\/2. Let n be (-224)\/(-14) + (-1)\/((-1)\/4). Let f be n\/(-4) - (2 - 3). Which is the nearest to p? (a) -3 (b) f (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that c**3 + c**2 - c - 1 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11700 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -19+17281\nAnswer: 17262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -537, 0, 2, -8, -3 in descending order.\nAnswer: 2, 0, -1, -3, -8, -537","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/9 + -8 + 304\/72.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2.5, 4, 73?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 456.15 - 0.10103441.\nAnswer: 456.04896559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 171 - 90. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m**2 + m + 6. Let r be d(-5). Let v = r - 27. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -2*g + 1. Let b(p) = 2*p - 1. Let q(u) = -4*b(u) - 5*k(u). Let w(a) = 6*a - 3. Calculate -11*q(t) + 4*w(t).\nAnswer: 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmdymdymddmddmm. Give prob of picking 2 m.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -141*r - 35*r - 4152 = 7288 for r.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 5.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 42*(-4)\/32*(-57528)\/27?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 3*z**3 + 4*z**2 - 3*z + 6. Suppose -42*c = -27*c + 46 + 14. Let r(x) = 2*x**3 + 2*x**2 - 2*x + 3. Give c*q(g) + 7*r(g).\nAnswer: 2*g**3 - 2*g**2 - 2*g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7445 and 145922.\nAnswer: 729610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - y - 6 = 0, 226*y = 225*y - 6 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of -35*f + 95\/2*f**2 + 12. What is the derivative of u(k) wrt k?\nAnswer: 95","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 979 is divided by 360?\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.2, -1\/92, -5, 0.043?\nAnswer: -1\/92","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 3 = -2*m. Let t = 95 + m. What is the third derivative of -4*w**2 + 6*w**6 - 2*w**2 - 98*w + t*w wrt w?\nAnswer: 720*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 2*y**3 + 8*y**2 + 84*y - 363. Determine i(4).\nAnswer: 229","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -693 - -692. Let j = -0.1 + 0.1. What is the smallest value in 1\/6, l, j?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sgggzgsz. What is prob of sequence gsgz?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {f: 3, y: 1, z: 9, g: 1}?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 3*p = 1, -r + 6*p - p + 17 = 0. Solve -1 = -2*j + 3*k, j = 3*k - 3 + r for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17427716 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 9. Suppose -357 = -t*c - 3*o, 0*c + 3*c - 211 = -5*o. What is the remainder when c is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*2.59158.\nAnswer: -15.54948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 - -15. Suppose 4*p - 45 = -a. Let b = p + 30. Calculate the greatest common factor of b and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 4*i + p + 1, 0 = 2*p + 2. Suppose 0 = -i*c - 8*c - 48. Let q(m) = -13*m + 7. Let n(j) = 11*j - 6. Let u(x) = c*n(x) - 5*q(x). What is u(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1839143 - -10\nAnswer: 1839153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 8*r**2 - 7*r - 2. Let o(l) = -4*l**2 + 3*l + 1. Calculate 4*n(q) + 9*o(q).\nAnswer: -4*q**2 - q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 3*x - 7 - 7*x - x**2 - 4*x. Let o(z) = z + 7. Let r be o(-13). Let b be q(r). Let u(g) = g**2 - 4*g - 5. Give u(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 1:40 PM?\nAnswer: 12:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 204a65 + 10?\nAnswer: 204a75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -161809 (base 13) to base 7.\nAnswer: -4433320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1580.9 - -1668. Let i = r - 87. Which is the closest to -1? (a) -2\/77 (b) -2 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in five quarters of a gram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - -1 - ((-164)\/14)\/2.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*u**2 - 3*u**2 - 5 + u**2 + 4*u**2 + 1 in the form i + a*u + y*u**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -f**5\/4 + 829*f**4\/4 - 89129*f**3\/2 + 468308*f**2 + 78203896*f + 77690816 = 0.\nAnswer: -34, -1, 56, 404","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 greater than or equal to 791.8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 15*h - 233. Suppose -5*x = 5*r - 50, -9*r + 45 = -7*r - 3*x. Let z be i(r). Let v(c) = 3*c + 23. Give v(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 + 9*d**2 + 2*d + 15. Let f be a(8). Suppose 11*i = 16*i - f. Factor -20*t**3 - 4*t - 14*t**5 + 19*t + 10*t**4 + i*t**5 - 10*t**2.\nAnswer: 5*t*(t - 1)**2*(t + 1)*(t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*(c*c**(-1\/35))\/c*c)\/c**(-2\/53)*c\/c**18*(c\/((c*(c\/(c*(c\/c**(-1\/19))\/c))\/c)\/c))\/c assuming c is positive.\nAnswer: c**(-491252\/35245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 4*b = -117. Let l = b + -25. Calculate the lowest common multiple of 20 and l.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*i - 18 - 14. Suppose -9*x - i = -85. Solve -c = -3*h - x, 3*h - 10 = -4*c + 2*h for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/15? (a) -22 (b) 1\/2 (c) -5 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**2 + 2*o - 14. Let r be k(-9). Let a = 6 + r. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 36.142 to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30239.\nAnswer: 11, 2749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1947\/4 greater than 488?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 + -3. Suppose i*h + m - 262 = 0, 5*h = 2*m - 4*m + 264. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 112 and 840.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -162, -118, -56, 24, 122?\nAnswer: 238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j**2 + 3*j**2 - 2*j**2 - 2*j**2 as n*j + z + f*j**2 and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 16*i - 21*i - 34, u - 3*i = 44. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {g: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 + 18. Let n(t) = t**2 + t + 2. Let y be n(v). Solve -4*j + y = -9*j + 3*h, 3*j + 14 = -h for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 4*h**2 + 33*h - 16. Let n be d(-10). What is the highest common divisor of 36 and n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 85*z - 103. Let q(n) = 85*n - 102. Let p(u) = 4*h(u) - 5*q(u). Differentiate p(j) with respect to j.\nAnswer: -85","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -49 + 49. Suppose r = 5*c - 304, 5*c - 4*r + 2*r - 308 = y. Does 9 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1668 + -1658.97. Let l = p - 10.03. Which is bigger: l or 146?\nAnswer: 146","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyppywpyppwwpw. Give prob of picking 2 p.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 806 divided by -26319\nAnswer: -26\/849","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 399, 1597, 3583, 6351, 9895, 14209, 19287?\n\"Answer: -y**3 + 400*y**2 + 5*y - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1360 and 156060.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 104 + -82. Let s(p) = 3*p**3 + 97*p**2 + 26*p + 155. Calculate the remainder when s(-32) is divided by h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 27 and 241486347.\nAnswer: 2173377123","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -92 + 137. Calculate the highest common divisor of 18 and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22\/5 - -149\/10. Suppose -4*q - 20 = -2*q. Let z = v + q. Which is greater: z or -2\/7?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -52 + 1421?\nAnswer: 1336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -5*y - 31368, -9*j + 16*y - 18*y = 70541. Are -7838 and j unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 678\/5 - 135. Which is the biggest value? (a) 1 (b) -1\/6 (c) 4 (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -125128 + -1?\nAnswer: -125130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - 0. Find the third derivative of 0*v + 0*v - 2*v**2 - 2*v**4 + 6*v**p wrt v.\nAnswer: -48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32254093 is divided by 304?\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1746530.23 rounded to the nearest one hundred?\nAnswer: -1746500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 8*z = 5*r - 50, -4*r = 5*z + 23 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 43611?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1271788977?\nAnswer: 3, 17789, 23831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -13*h + 10*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m**2 - m**2 + 5*m**2 + (0 + 0 - 2)*(0*m**2 + 0*m**2 - m**2) + 77*m + 3*m**2 + 1 - 77*m.\nAnswer: 8*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 331704008.\nAnswer: 2, 1051, 39451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (79 + 126 + 101)*(15*m + 14*m - 26*m)*(-m**2 + 3*m**2 + 0*m**2) as f + x*m + v*m**2 + n*m**3 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1220*i + 948*i = -54*i - 5699*i - 704969 for i.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3321 = -7*j + 2069. Suppose -50 + j = 12*z. Does 4 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.33135 * -0.2.\nAnswer: 0.06627","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - k + 186 = -5*k, 0 = -2*d - 2*k + 124. Suppose 14*h = -6 + d. Determine w so that 0*w**3 - 23*w**4 + 17*w**h + 12*w**5 + 15*w**4 - 3*w**3 = 0.\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -2*i**2 - i - 4. Let j be t(-4). Let h = j + 61. Find the common denominator of h and -40\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 284981681 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113*b - 25 = -5*x + 121*b, 10 = 2*x + 2*b for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 63 - -9. Let u = r - 69. Solve 24 = 4*x - 4*q, 5*x - 17 = q - u for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 0.713, -4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.44 + 0.8. Let h = x + -76.36. Which is smaller: h or 0.1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 2*n - 19 + 7 = 0, 1 = 2*r - n. Is 0\/1 + (-254)\/r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 2100733?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/((-40)\/4))\/(2\/(-16)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 964905761 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v**2\/2 + 105127*v\/2 - 6405305 = 0.\nAnswer: 122, 105005","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 538629.5 to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-46)\/115 - ((-3)\/(-5) + 0).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*k**2 - k**2 - k**2 + (-201*k + 436*k - 470*k)*(-2*k - 2*k + 15*k).\nAnswer: -2583*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 2*t**2. Let j be (-3)\/(-6) - (-15)\/6. Let o(s) be the first derivative of 0*s**2 + 4\/3*s**j + 0*s + 1. Calculate o(h(r)).\nAnswer: 16*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 74541 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 3*i - 775 = 0. What is the greatest common divisor of i and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1266 + 2444. Let m = -638 + p. Is m a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1\/31 - 75\/4247. Let a(p) = -10*p - 189. Let n be a(-19). Which is smaller: c or n?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, -0.313, -63 in ascending order.\nAnswer: -63, -0.313, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 38 and 76.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -874*g = -873*g - 15457 - 45426. What is the thousands digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.4 (b) -2 (c) 21 (d) -72\/91\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*o**2)*(-2*o + o - o) + (0*o**3 + o**3 - 4*o**3)*(3 + 2 - 4).\nAnswer: -7*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -682\/92357 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 474c + 3?\nAnswer: 4751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14530 is divided by 7043.\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/5 + 0)*-25. Let g = k + -9. Let v be 764\/(-20) - g\/(-5). What is v rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:28 AM and 7:50 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**2 + 10*t + 4. Let o be q(-10). Factor -x**3 - x**o + x**2 + x**2 - 2*x**2.\nAnswer: -x**3*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2.7, 2, 4, -432, 5, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 + 12. Let i(t) = -t**3 + 32*t**2 - 27*t. Let w be i(31). Suppose w = -f*x + 10*x. Is 30 < x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 343.3995 decades in centuries?\nAnswer: 34.33995","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 260*h + 395 = -2205 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 29197 times -108?\nAnswer: -3153276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 345501 by 345501.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 242304244 (base 5) to base 12.\nAnswer: 468971","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 81 + -50. Let u = -35 + x. Let n(w) = -w**3 + 5*w**2 + 2*w + 5. Is n(u) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 2*d - 21. Suppose 175*h + 466 = 724 + 1492. Determine q(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -254167*k = -127339*k - 127047*k - 16644 for k.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 33 + -68. Let d = 7 + w. Let x = -17 - d. Is x a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 36 + -13 + -11.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 57 - -2. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1633 + -1631. Suppose 0 = -3*i - 5*s - 15, -2*i = -s + 5*s + 12. Suppose i*k = k - r. Solve -k*p = p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 7:45 PM?\nAnswer: 10:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 84 and 462?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 23 = -5*u - 3, 3*u = 4*s - 19. Suppose -j - 2*j - s = 5*i, -i = 5. Let t(n) = n**2 - 6*n - 22. Let a be t(j). What is a rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ullqh. Give prob of picking 1 l and 1 u.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01 times 152.8?\nAnswer: -1.528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1955056.305 - 1?\nAnswer: -1955057.305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let r be (33 - -1)\/(28\/(-6)). Let y = -612314\/35 + 17487. Let m = y - r. Is 1 <= m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 x when two letters picked without replacement from xprcpxt.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21764, -21770, -21786, -21818, -21872?\nAnswer: -21954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15142 or 15143?\nAnswer: 15142","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, a: 1, x: 3, f: 3, v: 1, s: 3}. What is prob of picking 1 v, 1 a, and 1 s?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 + 150. Let z be f(0). Let k = z + -97. List the prime factors of k.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2. Let j(s) = -145 - 42*s - 181 - 180 + 508. What is j(z(h))?\nAnswer: 42*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 8 = 2*b, -2*b - 3*b - 7 = -l. Let r(m) = -123 - m**2 - 2*m**3 + 117 + 3*m**2 + 2*m. Is r(l) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22953151?\nAnswer: 13, 1765627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -3*c**2 - 10*c + 41. Let k be g(2). Solve 24 = k*n - 39 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69771923 to the power of 1\/2, to the nearest integer?\nAnswer: 8353","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32 and 28256.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12151.000007404 + -12151. Round k to six dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2168 and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -4451994.215 to the nearest ten thousand.\nAnswer: -4450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 6*s + 8. Calculate b(15).\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 456, 817, 1180, 1545, 1912, 2281, 2652?\nAnswer: 3025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 d when three letters picked without replacement from {c: 1, q: 4, a: 2, d: 2, y: 1, r: 5}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/2 + -1 + 35*2040\/(-48720).\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 47*d - 2232. What is the remainder when f(60) is divided by 88?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -343.6 and 5.\nAnswer: -1718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(612) + ((sqrt(612) + 0)*2 + sqrt(612) - sqrt(612)))**2.\nAnswer: 5508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 + 9*s**2 + 6*s + 17. Is y(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, b: 1, g: 1, w: 1, a: 2, c: 1}. What is prob of sequence agwb?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 0)*(x**2 + 2*x**5 - x**2) + 0*x**3 - 2*x**5 + 0*x**3 + 8*x**5 + 10*x**5 - 4*x**5.\nAnswer: 10*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-76)\/28 + 1)\/(1\/7).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1644 + -404?\nAnswer: -2351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -f**4\/2 + 335*f**3 - 60587*f**2\/2 - 30629*f = 0?\nAnswer: -1, 0, 109, 562","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a week in hours?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 - 4*a**2 - 2*a + 4. What is k(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 148, 2 in ascending order.\nAnswer: 0, 2, 148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and 0.018.\nAnswer: 0.018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the second derivative of s**7\/360 - s**4\/6 + s. Let a(d) be the third derivative of v(d). Let o(n) = -2*n**2. Give a(o(r)).\nAnswer: 28*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1)\/2)\/(2\/(-16)). Suppose -3*m - 3*s + 129 = 0, -2*m + c*s = -0*m - 80. Let p = -17 + m. Is 8 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 {l: 3, p: 1, r: 2, i: 1}. Give prob of sequence li.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -267*r + 432*r - 2253 - 717 for r.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 0 - 3 - 3*d + d - 4*d + d - 2*d + 0 + 0 + (-3 + 5 - 1)*(0*d - 3*d + 2*d) - 4*d + 4*d - 4*d.\nAnswer: -12*d - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 39, 42, 45, 48, 51, 54?\n\"Answer: 3*t + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -1\/4, 1, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -u**2\/6 - 5023*u\/3 - 10045\/6 = 0?\nAnswer: -10045, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 22, 89, 266, 607, 1166?\n\"Answer: 9*u**3 + u**2 + u + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 3425627018?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.456 in 38, 0, 272, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dddddededddddededde. What is prob of sequence dde?\nAnswer: 455\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 60*k**3 + 59883*k**2 + 47856*k - 11967 = 0.\nAnswer: -3989\/4, -1, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of 11*i**4\/12 + i**3\/3 - 3*i**2. Let p be g(1). Let u = 47 - p. Calculate the highest common divisor of u and 161.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -19651*f + 982349. Calculate v(50).\nAnswer: -201","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -485\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/77 and -5\/63?\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, -2, 132 in increasing order.\nAnswer: -2, 19, 132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -60 + 150. Suppose 0 = 4*o + 11*o - z. Solve 2*f = 8 - o for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -36 - -31. Put 3, -25, g in descending order.\nAnswer: 3, g, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.037512485 to five decimal places.\nAnswer: -0.03751","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-175)\/(-30))\/(-7))\/((-3)\/18*-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -15\/257?\nAnswer: -15\/257","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -6*o**5\/7 - 270*o**4 - 23664*o**3 - 2638536*o**2\/7 - 10336320*o\/7 + 13142400\/7 = 0.\nAnswer: -148, -10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the third derivative of -v**4\/6 + v**2. Let o(s) be the third derivative of -s**5\/30 - 16*s**2. Calculate y(o(w)).\nAnswer: 8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2\/369 (b) -2\/13 (c) -0.2 (d) 2\/21 (e) -53\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7309 - -7313. Are 578 and u unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from {y: 3, z: 6, t: 4}.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5156733*z**5 + 3901438*z**2 wrt z?\nAnswer: 309403980*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 z when three letters picked without replacement from zzzzkk.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/6)\/((-1)\/((-14)\/21))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(136) + -1*1*sqrt(136) - (sqrt(136) - -1*sqrt(136)*1))\/(-1*(sqrt(1152)*2 + sqrt(1152))).\nAnswer: -sqrt(17)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - (1 + (10 - 8))) + (-7 - -3).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19.6 - -16. Suppose 2*i + 40 = 7*i. Let x be ((-3)\/2)\/((-18)\/i). What is the nearest to j in 0.4, x, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2913 - 2951. Which is bigger: d or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(119)\/(-3*3*sqrt(7) + sqrt(7))*-6)**2.\nAnswer: 217\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*u - 37*u - 7027 + 1422 = 58*u for u.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21 - 19. Let z(n) = n**3 - n**2 - 3*n + 1. Let u be z(g). Sort -2, 5, u in descending order.\nAnswer: 5, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.53, 2\/13, 0.5, 5\/3, -7, 0.2 in decreasing order.\nAnswer: 5\/3, 0.5, 0.2, 2\/13, -0.53, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 - (5\/25 - 858\/240). Let m(t) be the second derivative of 0 + 1\/4*t**3 + 1\/16*t**4 - 2*t + x*t**2. Factor m(w).\nAnswer: 3*(w + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/23 in -0.3, 0.2, -2.86559, -2\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 30930\nAnswer: 30929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -123\/28 - -36\/7. Let u be 2\/7 - 1\/(-7). What is the biggest value in u, z, -3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 406897?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 - 5*b - 2. Let r be s(-5). Let u(f) = 36*f - 15. Let k(j) = 2 + 550*j + 549*j + 551*j - 1655*j. What is r*u(m) - 15*k(m)?\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 723?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6413\/5 + 1283. Let a(g) be the first derivative of -5*g**2 + 0*g**3 + o*g**5 + 0*g - 6 + 0*g**4. What is the second derivative of a(m) wrt m?\nAnswer: 24*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*f**3 - 347*f**2.\nAnswer: f**2*(6*f - 347)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1372 - -1414. Suppose -3*g = -2*y - 47, -2*y - 8 = -g + 9. What is the remainder when u is divided by g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 255*z**2 + 89*z - 512*z**2 + 258*z**2 - 2 + (6 - 2 + 0)*(z**2 - 2*z**2 + 0*z**2).\nAnswer: -3*z**2 + 89*z - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*s - 34*s = -10 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-410)\/(-246))\/(2\/6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62736*l**3 + 31344*l**3 + 31361*l**3.\nAnswer: -31*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*l + 41*l = 46. Calculate the greatest common divisor of 253 and l.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (16\/(-4))\/(2\/(-8)). Suppose -t = -5*j + 1 - 21, -4*j = a. Is t less than 1\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 28 and -0.17653.\nAnswer: -4.94284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1049.\nAnswer: 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(204)*2 - sqrt(204) - sqrt(204))\/(1*sqrt(48)).\nAnswer: -3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 66 + 16750?\nAnswer: 16826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -246*t - 12122 = 524*t - 561*t for t.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, -5419, -3, -5, 5 in decreasing order.\nAnswer: 5, -3, -5, -24, -5419","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 22*g + 1. Let i be f(-1). Let w = -11 - i. What is the remainder when (-5)\/(-2)*(-588)\/(-30) is divided by w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**1\/g*g*g**(2\/7)*g*(g\/(g**(-2\/7)\/g))\/g**4)\/((((g**(-2\/7)\/g)\/g)\/g)\/(g**(-3\/4)*g)*g**(-2\/15)*g**(-1\/2)\/g*g*g) assuming g is positive.\nAnswer: g**(1571\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9c8e - -5a?\nAnswer: -9c34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -31\/46 + 4\/23. Let z = 0.4 + 0.6. Let c = 0 - z. Sort -2, c, y.\nAnswer: -2, c, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 plus -171640?\nAnswer: -171638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40) - 1*sqrt(2560))\/sqrt(8).\nAnswer: -7*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, k: 1, i: 2, r: 1, u: 2, a: 1}. What is prob of sequence yu?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (4\/10)\/((-5)\/50)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a minute in milliseconds?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126424 is divided by 10532?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.2 (b) 4 (c) 5 (d) 0.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 28\/(-168) - (-40)\/(-6) - -7. Factor -5\/6*d + 1\/2 + b*d**2 + 1\/6*d**3.\nAnswer: (d - 1)**2*(d + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100855585 to the power of 1\/2, to the nearest integer?\nAnswer: 10043","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 1318 = -2*d, 0*z - 4*d = 2*z - 868. Is z a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -202*d - 191*d - 133 = -412*d for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10600213?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 3311*m**2 + 13*m + 33. Is r(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 181529?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12710 is divided by 282.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 48 = 5*c, 4*c + q = -4*q - 51. Suppose 0*v + v = -y + 11, -7 = v - 5*y. Let p be -4*-8*(-2)\/v. Which is smaller: c or p?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 7, 6531, 0.2, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2\/17, 1, 57, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of -3*d + 0*d**2 + 4\/5*d**3 + 2 - 1\/30*d**4. Factor g(b).\nAnswer: -2*b*(b - 12)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -919196 + 54233806\/59. Is w not equal to 22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -310 (base 4) in base 11?\nAnswer: -48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, 11, 31?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 143012, 143646, 144704, 146186, 148092, 150422, 153176?\nAnswer: 156354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5161256 to the power of 1\/3, to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 2*r + 684 = 0, 0*u = 5*u - r - 678. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 8*d + 9*d - 13*d - 2 = 10, -33*d = 66 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the third derivative of b**6\/8 - b**4\/12 + 11*b**3\/6 - 28*b**2. Let l(s) = 7*s**3 - s + 5. Calculate -9*l(z) + 4*r(z).\nAnswer: -3*z**3 + z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 4*o**4 - 4*o**3 - 64*o**2 + 16*o + 192 = 0.\nAnswer: -3, -2, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 = -k - r + 25, -r + 8 = -2*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (f**3 + f**3 - f**3)*(-2*f + 4*f - f) - 37495*f + 37495*f + 27*f**4 + 20 in the form r*f**3 + s*f**2 + k*f**4 + t*f + w and give k.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3287824 to the power of 1\/2, to the nearest integer?\nAnswer: 1813","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a milligram in micrograms?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.96 - 2.312. What is b rounded to 2 dps?\nAnswer: -0.35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) -1\/3 (b) -0.08 (c) 8 (d) -2\/1221\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -5*p**2 - 2*p + 2. Let c(j) = 3*j**2 + j - 1. Let z(t) = -6*c(t) - 3*x(t). Let r(f) = -38*f + 1. What is z(r(a))?\nAnswer: -4332*a**2 + 228*a - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7311388, -7311389, -7311390?\nAnswer: -7311391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 172 a factor of 327?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 - 11. Is p(8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 955299 a multiple of 359?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/27 or -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j**2 - 4922568*j - 1514479732164 = 0 for j.\nAnswer: -615321","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -3*k - 4*z, 4*k + 64 = 4*z + 168. Calculate the highest common factor of k and 594.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**5 - 116*t**4 + 2690*t**3 - 31176*t**2 + 180576*t - 418176.\nAnswer: 2*(t - 12)**3*(t - 11)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.11 and -0.8.\nAnswer: -0.888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 9) to base 15\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 38799252 and 64665420.\nAnswer: 193996260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from rwgwgwwwrrryrror?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/20*-5*(-12)\/(-54).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14733 and 6.\nAnswer: 29466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-19))**24*(s\/(s**(2\/15)*s))\/s**(-8\/15) assuming s is positive.\nAnswer: s**(-2278\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 PM and 2:08 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -33, 1, 271 in ascending order.\nAnswer: -33, 1, 271","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 27165*-4\nAnswer: -108660","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5561446 + -12061846. Round x to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 9135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 114007?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mbmmmbbmmmmmmm. Give prob of sequence bbmb.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 19.04 to the nearest integer.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - -2a?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of 0 + 5\/6*o**3 - 8*o**2 + 0*o - 1\/70*o**5 - 1\/21*o**4 - 1\/630*o**6. Let m(z) be the first derivative of l(z). Factor m(w).\nAnswer: -4*(w + 1)*(w + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -7*s**2 + 60*s. Let z(m) = m**2. Calculate o(y) + 5*z(y).\nAnswer: -2*y**2 + 60*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1471\/245 - 39\/49. Let g = 7 + s. Sort -0.4, g, 1\/7, -1\/3 in ascending order.\nAnswer: -0.4, -1\/3, 1\/7, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of 289*l**8\/336 + 88*l**5\/15 + 8*l**2 - 24. What is the third derivative of m(x) wrt x?\nAnswer: 17340*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 26*f**2 - 3 - 105*f + 105*f + 4*f**2 with respect to f.\nAnswer: 60*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -11*v + 38. Let b(t) = 5*t - 19. Let c(a) = -7*b(a) - 3*n(a). What is the tens digit of c(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**5\/j*j**(-4))\/((j*j**(-2\/3))\/j**5)*(j**0*j)**14*j**(-4)*j\/j**(-6) assuming j is positive.\nAnswer: j**(65\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 1326?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-7) - (-861)\/(-3528). Let r(l) be the third derivative of 0 + 0*l + 5*l**2 + 1\/3*l**3 + 0*l**4 - d*l**6 + 0*l**5. Differentiate r(f) wrt f.\nAnswer: -15*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -18 + 78\/6 - (-118)\/22. Let 30\/11*j - 2\/11*j**5 - 28\/11*j**3 - u*j**2 - 14\/11*j**4 + 18\/11 = 0. Calculate j.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*j**2 + 2*j - 2*j)*(3 - 5 - 6*j + 9*j) as x*j + t*j**3 + k*j**2 + f and give t.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2027193601 rounded to 5 dps?\nAnswer: -0.20272","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-1\/2))**(-26))**31 assuming b is positive.\nAnswer: b**(-403)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 181 + 6*n**2 - n + 14*n**2 - 3*n**2 with respect to n.\nAnswer: 34*n - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b + 17. Let o(z) = -z**3 + 6*z**2 + 2*z + 8. Let p be o(6). Let y = 11 - p. Let d be w(y). Solve -d - 17 = -5*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -343*s**5\/6 - 3773*s**4\/6 - 1358*s**3 + 470*s**2\/3 + 1096*s\/3 + 64 = 0.\nAnswer: -8, -3, -2\/7, 4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(9\/5)\/(h*(h**(-12\/11)*h)\/h))\/((h\/h**18)\/h**(1\/10)) assuming h is positive.\nAnswer: h**(2089\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of -2*b**3\/3 - 36. Let p(j) = -39*j. Give o(p(w)).\nAnswer: -3042*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express ((4*i - 2*i - 3*i)*(3*i + 0*i - 5*i) - 5*i**2 + 0*i**2 + 4*i**2)*(4*i**2 + 4*i**2 - 5*i**2) as b*i**2 + g*i + n*i**3 + q*i**4 + l and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -747\/7 - -107. Which is the second biggest value? (a) 0.2 (b) y (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(720) - (sqrt(720)*-1 - sqrt(720)))*-5*-5 + 2 + sqrt(500) + 1 + 0)**2.\nAnswer: 5460*sqrt(5) + 4140509","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.22 times 32160\nAnswer: 7075.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 2, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 10*x = -3*x. Let j(a) = 9*a + 4. Let c be j(x). Solve 2*n = -2*w + c*n + 16, 0 = -5*w + 3*n + 30 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xysbsyszzswz. Give prob of sequence xsw.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 - 8*g**2 + 21*g - 75. Calculate the smallest common multiple of 115 and q(7).\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8853192*i**3*o**2 + 596*i**2*o**2 + 8*i*o + 4*o - 8 wrt i?\nAnswer: -53119152*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 80706 to the nearest integer?\nAnswer: 284","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lp when two letters picked without replacement from {l: 2, p: 2, y: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 - 12. Let f(l) = 2*l + 6*l**2 + l**2 + l**3 - 1 - 2*l**2 - l. What is f(c)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 2*l + 39. What is i(-20)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3*a + 3)*(3*a**2 - 2*a**2 - 3*a**2) + 125*a**3 - 2*a**2 - 21*a - 61*a**3 - 66*a**3.\nAnswer: 4*a**3 - 2*a**2 - 21*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 - 11*n**2 + n - 13. Let u be j(11). What is the remainder when 1 - (-1)\/(u\/(-120)) is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**2 + 8*w + 8. Let b(g) = -g - 1. Let f(u) = 2*b(u) + o(u). Calculate f(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 3 = 6. Let c(p) = p**2 - 18*p - 48. Calculate the remainder when c(21) is divided by -2 + f - (2 - 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 102*c*i**4 - 8*c*i + 6*c wrt i?\nAnswer: 1224*c*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -5, -1\/6, 3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 26832 and 26910.\nAnswer: 9257040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 964, -1381, -3722, -6059, -8392?\nAnswer: -10721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 5*c**3 + 5*c**2 + 13*c + 3. Give b(-2).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (27\/12 + 0)*((-277)\/17 + 2315\/7871).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*m + 22*m + 9 + 11*m.\nAnswer: -8*m + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -61*p + 18. Let k(u) = -61*u + 19. Let s(f) = 3*k(f) - 4*t(f). Calculate the remainder when s(3) is divided by 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -238973.2 rounded to the nearest one hundred?\nAnswer: -239000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = 3*k - 1048703 + 1048715, -4*k + 5*a - 16 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 128*a**3 - 123*a**2 wrt a?\nAnswer: 768","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -c**5 - 174*c**4 - 7385*c**3 + 16724*c**2 + 54912*c + 30976 = 0?\nAnswer: -88, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*s - 682*s**3 - 19*s**4 + 684*s**3 - 1 + 0 + 4 to f*s**2 + m*s**4 + p*s + v*s**3 + t and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvqqvvvqvvvqvqvvq. What is prob of picking 2 q?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6330 is divided by 19.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1868*d + 1499*d + 5535 for d.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -w - 4, -14 + 2 = -3*u + 4*w. Suppose -8*i - 8 = -10*i. Suppose 0 = 2*t + i - 12. Solve 4*n = u*v - 40, -t*v + 4*n + 45 = v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 332*i**2 + 327*i**2 - 660*i**2. Let j(w) = -221*w**2. Calculate j(x(t)).\nAnswer: -221*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(1700) - (sqrt(1700) + sqrt(1700)*-2 + sqrt(1700))**2) + (0 + sqrt(1700))*-3.\nAnswer: -90*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b**3 - 4916526 - 4916474 + 9832963 + 6*b**3.\nAnswer: 5*b**3 - 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 74505 divided by -4?\nAnswer: -74505\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 643716487 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, t: 2, n: 2, d: 2, q: 1}. Give prob of picking 1 d, 1 e, and 1 t.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*r - 7*r**3 - 31*r + 21*r + 7*r + 3*r.\nAnswer: -7*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 46423 and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are 566\/5 and 114 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -2*u**2 - 2*u + 1. Suppose -8*i + 20 = -4*i. Suppose 3*x - 4*x - 4 = -i*c, 0 = 5*x - c + 20. Let y(k) = -3*k**2 - 2*k + 1. What is x*y(v) + 5*q(v)?\nAnswer: 2*v**2 - 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1050419 (base 10) to base 6\nAnswer: 34303015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.7531672l?\nAnswer: 753.1672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104 = 11*k - 83. Calculate the greatest common factor of 17 and k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*k - 16. Suppose k*x - 15 = 33. Calculate the greatest common factor of 4 and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2001, 4017, 6033, 8049, 10065, 12081?\n\"Answer: 2016*t - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = -3*r - 76 + 70, 2*r = -3*l - 4 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = 3*v - 20, 3*s + 369 = -5*v + 379 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s*s\/(s*s*(s\/s**(-3\/5)*s)\/s*s)*s*s**(-2\/45))**29 assuming s is positive.\nAnswer: s**(464\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of f**3 - 5*f**2\/2 + 3*f + 45. Let j be s(1). Which is bigger: -5\/53 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (3 + -3)) + -4 + 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -97 - -103. Find y such that 95 + 0*y**4 + 8*y**3 - 120*y**2 + 21*y**3 + f*y**3 - 60*y - 15 + 15*y**4 = 0.\nAnswer: -4, -1, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/5, 5, -7, 0.4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, -0.0429, 86?\nAnswer: 86","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = 3999\/14855?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1344a6 (base 11) to base 4.\nAnswer: -303133102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 228*x + 219*x + 0 - 437*x.\nAnswer: 10*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l**4 + 2529*l**3 + 209106*l**2 + 4351692*l - 9560088 = 0 for l.\nAnswer: -753, -46, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 84*l**2 - l. Suppose -3*i + 33 = -5*r - 19, 0 = 2*i + 4*r - 20. Suppose -i*d + 19*d = 55. Calculate the remainder when o(-1) is divided by d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3655.\nAnswer: 5, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -270, -577, -858, -1101, -1294, -1425?\n\"Answer: 2*z**3 + z**2 - 324*z + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/((8883\/54)\/47).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 PM and 5:04 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = 4*k - 12, 294*k - 19 = 295*k + 5*p for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h\/((h\/h**(2\/3)*h)\/h)*h*h)\/h)\/(h*h**(-3\/2)) assuming h is positive.\nAnswer: h**(25\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kx when two letters picked without replacement from {k: 3, x: 5, n: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -26554 divided by 2\nAnswer: -13277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 60926, 60847, 60774, 60707, 60646?\n\"Answer: 3*i**2 - 88*i + 61011","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -78 + (1\/1 - 0). Suppose 8*k = 15*k - 791. Let t = j + k. Is t a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(180) + 5*sqrt(180) - sqrt(180))*-5 - (-3 + sqrt(80) - sqrt(10)\/(sqrt(18)\/sqrt(9))))**2.\nAnswer: -5418*sqrt(5) + 4077054","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -8*u**3 - 3 + 6*u - 4*u**2 - 2 + u + 2*u. Let b(y) = 4*y**3 + 2*y**2 - 5*y + 3. Let v be 2*(3 + -4) + -3. Let q(d) = v*b(d) - 3*g(d). Factor q(h).\nAnswer: 2*h*(h + 1)*(2*h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 46*k - 28. Let b be c(-17). Let z = b - -1394. What is the hundreds digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -354 (base 12) in base 5?\nAnswer: -3441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 415179.091 rounded to the nearest ten?\nAnswer: 415180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - ((-5 - 0) + 5)) + 4?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25247.\nAnswer: 25247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 3*d = 19, 0 = 9*c - 11*c - 4*d + 28. Solve -2*i = u + 5, 0*i - c*i - 4*u - 12 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12792*a = 4312*a - 478912 for a.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 65620?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24443, -24655, -24867, -25079, -25291, -25503?\nAnswer: -25715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117*i + 20*i = -254334. Is i a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1045*j - 600*j + 653*j)*(-j**4 - 3*j**3 + 3*j**3) - j**5 + 4*j**5 + 5*j**5.\nAnswer: -1090*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 - 142 = -4*i. Suppose 4*z = -4*k + i, 4*k + 3*z = 3*k + 16. What are the prime factors of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33 - 71 + 38 + 22482*y.\nAnswer: 22482*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 40\/1050*5 + 2\/14. What is the nearest to -0.1 in 1\/7, -2\/11, -1\/7, c?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j**5 - 2*j**5 + 3*j**5 + (2*j - 2*j - j)*(7*j**3 - 7*j**3 + 11*j**4) + (-j**3 - 4*j**3 + 4*j**3)*(-4*j**2 - j**2 - 2*j**2).\nAnswer: -3*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1246661 less than 1247131?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zd when two letters picked without replacement from khdszqs.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112\/5*z**2 + 256\/5*z + 7\/5*z**5 - 16 - 92\/5*z**3 - 23\/5*z**4 = 0. What is z?\nAnswer: -2, 2\/7, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3305589?\nAnswer: 3, 7, 113, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -79887 at least 3\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 464 is divided by 94.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 55 + 23. Is a a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.5862389 centuries?\nAnswer: 58.62389","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -22\/1225 and 6\/2605.\nAnswer: 638225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (7 + -3)\/((-2)\/(-11)). Let j = -1 + 1. Suppose v = s - 3*g, j = -2*g - g. Is s a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21187 + 21387. Solve -m*a - 84 = -172*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 16*v**2 + 451*v + 611. Determine h(-30).\nAnswer: 1481","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -272.552 rounded to the nearest 10?\nAnswer: -270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 5*l - 2. Let h(q) = 3*q**2 - 68*q - 353. Let k be h(27). Sort k, 3, l, -23.\nAnswer: -23, k, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -12*b**2 + 5 - 14*b**2 + 25*b**2 + 11*b. Let v be a(10). Let j be (3 - 42\/v)*5. Solve -j = s - 4 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 42466470 by -8493294.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -8*r - 5*l, 0 = 2*r + l - 105 + 105 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14371602.\nAnswer: 2, 3, 7, 48883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - m = 1, -7*l - 2 = -6*l + 2*m for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*x = 1310 + 1746. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/20 and 101\/5920.\nAnswer: 5920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((4\/10)\/((-6)\/(-20)))\/((-224)\/2352)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202011112 (base 3) in base 12?\nAnswer: 8612","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - 724?\nAnswer: -71a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-26)\/(m\/m**(-6\/11)) assuming m is positive.\nAnswer: m**(-303\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**6*u**5)**45 assuming u is positive.\nAnswer: u**495","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 + 7*s**2 + 7*s + 5. Let g be a(-6). Suppose -24*n + 28*n = -v - 16, n = -3*v + 7. Sort g, v, 2 in ascending order.\nAnswer: g, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 49, 74, 121, 196, 305, 454, 649, 896?\n\"Answer: l**3 + 5*l**2 + 3*l + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127588 is divided by 63723.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-33)*l)\/l*l**(-22))**28 assuming l is positive.\nAnswer: l**(-1512)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(363) + sqrt(363) + 2)**2)*-2*5.\nAnswer: -14610 - 880*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.850931 rounded to 1 dp?\nAnswer: 3.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-180)\/(-1140))\/(0 + 6\/(-4)). Suppose 0 = -2*h - h + 3. Which is greater: w or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-11 + 117\/9)*3\/(-48)*-2. Let w = 4.846 - 4.9. Put h, w, -0.3 in decreasing order.\nAnswer: h, w, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 16, -4, 5, -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {x: 9, c: 7}?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 - -18. Let z = 19 - -1. Is (z\/w)\/((-8)\/(-28)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-46*s + 44*s + 3 - 5)*(11 - 11 + 6*s).\nAnswer: -12*s**2 - 12*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3882745?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 - 2*t - 1. Suppose -2*c = -4*c + 4. Determine u(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 + 10*y**2 - 19*y - 238. Let l be n(-9). Solve 3*o - l*b + 16*b = 4, -3*o + 9 = -3*b for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -26522*g**2*x**3 - 287*g*x - 12*x**3 + 3*x**2 wrt g?\nAnswer: -53044*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -34359 + 34358.5. What is the nearest to 2\/81 in -1\/4, l, -1\/5, 11\/3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j. Let o(u) be the second derivative of u**5\/20 + 5*u**4\/12 + 5*u**2\/2 + 2*u. Let v(h) = -4*n(h) - o(h). Let k be -1 + (-1*12)\/4. Calculate v(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 3) in base 8?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1749\/1620 - 17\/(510\/(-4)) and -89\/36.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/3 and -15\/9710911.\nAnswer: 29132733","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**2 + 18*f - 78. Let i be 16\/(-936)*-13 + (-158)\/(-18). Let c be b(i). Solve 5*q + 0 = c*s + 4, 3*q - 6 = 3*s for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77 = 5*z + 3*m + 79, m = -3*z + 2 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11493*w**3 - 2*w**2 - 4290*w**3 - 298*w**3 + 4*w**2.\nAnswer: 6905*w**3 + 2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.1 + 0.4. Suppose 0 = 3*j - 4*h + 151, -j + 3*h - 147 = 2*j. Let l be 2\/(6\/j - 33\/90). Sort v, 4, l in ascending order.\nAnswer: l, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -32.877 - -0.027. Let g = -34 - z. Round g to one dp.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + h + 348. Suppose 4*n = 65 + h. Let l(v) = 4*v**2 - 3*v - 2. What is the remainder when n is divided by l(-2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 6) to base 2\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -15*(-22)\/495*-15\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(684) - (1 + sqrt(684) + -5)) + 4 + (1 + sqrt(684))**2)*5.\nAnswer: 60*sqrt(19) + 3465","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of -u**2\/2 + 6*u - 16. Let k be r(-2). Suppose -105 = 7*f + k*f. Which is smaller: -4 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 993*t - 3*q = 998*t - 266, 558 = -4*t + 7*q for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 10\/(-4)*12\/(-6). What is the third smallest value in 0, a, -0.3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 211*g**4 + 6718*g**3 + 52655181*g**2 wrt g?\nAnswer: 5064*g + 40308","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 37717 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - -2. Let w(n) be the first derivative of n**5 + q - 3*n + 0*n - 2*n. Differentiate w(h) wrt h.\nAnswer: 20*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22 - (5 + -11 + 0 - (97 - 108))\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1423, -2746, -4065, -5380, -6691, -7998, -9301?\nAnswer: -10600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 152 = l + 3*l. Suppose -3*p + 52 = -l. Is 10 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 - 5. Suppose -4*v = 3*p - 8, -p + 4 = -2*v - 2. What is the biggest value in 2, l, v?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4\/11 (b) -26 (c) -1\/10 (d) 5 (e) -5 (f) 8\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 + 15. Let x = 15 + h. Solve -3*u + x = -7*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h + 1. Let w(i) = i**2 + i + 7. Let g be (-17654)\/6790 - (-3)\/((-15)\/2). What is g*b(a) + w(a)?\nAnswer: a**2 + 4*a + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(132)*6 + sqrt(132))*-6)\/(sqrt(11) + sqrt(11) + sqrt(110)\/(sqrt(10)*1) + sqrt(11) + sqrt(132)\/sqrt(3)).\nAnswer: 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 39457 and 886006?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*i + 195 = -2*i - 45 for i.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 177400 divided by -20?\nAnswer: -8870","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - n + 12 = 0, -3*k = 2*k + 5*n - 15. Suppose -6*r = -k*r. Solve 2*m + 4 = 2*q + 4*m, -q - 3*m + 6 = r for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*k + 12. Suppose -5*c + 61 = -3*o + 71, -2*o + 4*c + 8 = 0. Sort -2, o, 4, k in increasing order.\nAnswer: -2, o, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the third derivative of 17*f**7\/210 + 3*f**3 + 11*f**2. Find the first derivative of x(v) wrt v.\nAnswer: 68*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uyyohyhyohyhyyyh. What is prob of sequence hhuh?\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -644 divided by 4?\nAnswer: -161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 344 = 5*r - 346. Is 46 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 352*y**2 + y - 2 - 402*y**2 - 257*y**2 - 2*y in the form k*y + v + b*y**2 and give b.\nAnswer: -307","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (6*8\/(-252))\/(4\/(((-180)\/10)\/(-9)))\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -587, -1 in decreasing order.\nAnswer: 4, -1, -587","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16 and 1300582376?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/6)\/((-9)\/4).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 11\/44 + 38\/8. Suppose 0 = -i + y*i - 64. Suppose -2*c + i = 3*z, -4*z - 5 = 5*c - 24. Is z a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*v + 15*o = -31*v - 105, 4*v = 878*o - 875*o + 21 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 432, 637, 842?\nAnswer: 1047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of o**5\/30 - o**2. Let q(y) = -5*y. Let h(t) = -t. Let a(w) = 12*h(w) - 3*q(w). Determine a(f(x)).\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i - 9. Give h(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24627352?\nAnswer: 2, 3078419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.63612 - 0.13612. What is the fourth biggest value in 5, -20, 0, a, 1\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -253*f + 235*f + 9324 = 0. What is the highest common factor of 70 and f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10101110 + 10?\nAnswer: 10110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/1 + (44 - -2). Suppose -7*p = -4*p - 9, 3*s + 30 = 2*p. Let z = s - -14. What is the greatest common divisor of z and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10728381 a multiple of 1100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 529*r**2 - 101*r - 31. Is q(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/5 (b) -979 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -17077 - 8?\nAnswer: -17084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gysg. Give prob of sequence sgy.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1)*p\/(p*(p*p**2)\/p*p*p))**(3\/16) assuming p is positive.\nAnswer: p**(-15\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -49, 0, 2, 3, -3, 5 in descending order.\nAnswer: 5, 3, 2, 0, -2, -3, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d - 3*k + 2067, k - 6*k + 1564 = 3*d. Calculate the greatest common divisor of d and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 PM and 2:24 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, 1, 3, -10, -9 in decreasing order.\nAnswer: 17, 3, 1, -9, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 26*i**6*x - 296*i**5*x + 378*i**2*x + 2*i**2 - 6*i*x - x wrt i?\nAnswer: 3120*i**3*x - 17760*i**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 s when two letters picked without replacement from {z: 6, s: 7}?\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1736016*u**2 + 1096157?\nAnswer: -3472032*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 10*q**3 + 5*q**3 - q**3.\nAnswer: 14*q**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/418 and (-1)\/7 - 4904\/1120*-5.\nAnswer: 836","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(475) - sqrt(475))**2*-3.\nAnswer: -1425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -5*4*(5 + -3 + sqrt(200) + sqrt(200) + sqrt(200) + 3)**2*1*-2.\nAnswer: 12000*sqrt(2) + 73003","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 2 (c) 1\/28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, -78, -207, -366, -543, -726?\nAnswer: -903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - p**3 + 4)*(0 + p**2 + 0) + 8*p**5 + 465 - 465.\nAnswer: 7*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g + 1. Let z be h(-4). Suppose 2*b - 4 = -2, -z*l - 5 = -5*b. Suppose w + 0*w + 2 = l. Sort 0, w, 3 in ascending order.\nAnswer: w, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1231944?\nAnswer: 2, 3, 7, 7333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 156 - 173. Let y be (-3 - -1) + 1 - 37. Let g = j - y. Solve 2*w + g = -5*p, -4*w + 5*p + 10 = -23 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 419.15 - 423. Let g = f - -10.2. What is g rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -6*(-2 + (-2 - -5)). Calculate the remainder when 0\/(-2) - (-56 + -9) is divided by 2*3\/(m\/(-22)).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 divided by -11?\nAnswer: -96\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 35.18397 litres?\nAnswer: 35183.97","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 2*w - i + 4 = 0, 1 = w - 4*i. Let a(x) = 47*x - 3. Let j be a(w). What is the tens digit of 8\/j + (-757)\/(-11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 4*u**2 - 3*u - 8. Let i be (230\/(-460))\/(1\/6). Let l(y) = -4*y**2 + 4*y + 9. Calculate i*l(h) - 4*q(h).\nAnswer: -4*h**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 2236299?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*d + 8 - 12 + 3*d + 15 - 23.\nAnswer: -5*d - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hovhh. Give prob of sequence hhov.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.8145 - -0.00523335586.\nAnswer: -3.80926664414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -127890200 rounded to the nearest one hundred thousand?\nAnswer: -127900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6994 and 1664?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -z - 14, -4*x - 2 + 44 = 2*z. Suppose -4*l + 9*l = 105. What is the remainder when l is divided by z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 129120.9999 rounded to the nearest ten thousand?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the third derivative of 2*v**4\/3 - 113*v**3\/6 - 65*v**2. Let t be l(7). Put 5, t, 42 in increasing order.\nAnswer: t, 5, 42","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 210616371 divided by -63\nAnswer: -3343117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 6 + 14 = 0. Suppose -1806501 = -4*f - l*g - 526521, 2*f + 4*g - 639980 = 0. Round f to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.3 (b) 1.1 (c) -2\/9 (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1102543 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-8)*(0 + 0). Let q be (d*2\/(-4))\/2. Solve q = -n + 1 - 5 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 3:59 AM?\nAnswer: 12:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -27*15\/(-9)*(-164)\/(-1230)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/21)\/(1\/9) + 2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 105465?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 0*y + 2*y - 3)*(1227 + 6629 - 1706 + 3892) as u*y + p and give p.\nAnswer: -20084","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 - 16. Which is the biggest value? (a) o (b) -0.5 (c) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 3*y - 47 = -u, 1423*u = 1413*u - 3*y - 65 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 846 = 4*c - 5*u, -2*c + 182 = 4*u - 228. Let m be ((-114)\/2)\/(-2 + -1). Calculate the highest common divisor of m and c.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (1 - (-3 + 0))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - -21333200103?\nAnswer: 21333200112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -813*z + 401*z + 435*z.\nAnswer: 23*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 - -8. Suppose -5*b + 2*p = -3*p - 20, t*p = -3*b + 17. Solve 2*a = -3*a - 5*o + 10, -3*a + 6 = -b*o for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 - -7776064.\nAnswer: 7776061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 939168 is divided by 220.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 270299 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 + 24. Let g be (-3)\/(3 - (-8)\/(-3)). Let u be g\/a - (-8000003)\/4. What is u rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -3462*r**4 - 12*r**3 + 12*r - 9769. Let x(b) = -3461*b**4 - 13*b**3 + 13*b - 9771. Let k(q) = 13*t(q) - 12*x(q). Differentiate k(v) wrt v.\nAnswer: -13896*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, m: 1, p: 2, v: 7, q: 3}. What is prob of picking 1 v, 1 q, and 1 w?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.28855kg to tonnes.\nAnswer: 0.00528855","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c - 7. Let o be p(-7). Suppose 2*d + 4 = o, 5*i + 7*d - 4*d + 161 = 0. What is the tens digit of i*(4 + -1 + -4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 211881?\nAnswer: 3, 70627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3054 and 7.\nAnswer: -21378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 928 = 53. Let l be s\/(-7) - 8\/(-28). Let b(h) = 25*h**2 + 21*h**2 + 1 - l*h**2. What is b(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25 - 0) + 207 + -191.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*r - 17*r - 5 + 1 = 12*l + 2, -20*l = r - 25 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*b*f**2*p + 1045*b*f*p**3*z - 2*b*p**2 - 10*f**2*p**3*z + f**2*p - p**2*z + 9*p**2 + 1 wrt p.\nAnswer: 6270*b*f*z - 60*f**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5393*m = 5503*m - 2200 for m.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -58*j*k**2 + 9*j - 11*k**2 + 77 wrt k.\nAnswer: -116*j*k - 22*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 194 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 18) + (-13 - -16).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000815507 to seven decimal places.\nAnswer: -0.0000816","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from aaaaaaaaaaaaaiaaaaaa.\nAnswer: 17\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 - -4. Let w = 15 - x. Suppose -w*m + 6 - 2 = 0. Solve -m = 2*t - 10 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 47*p**2 - 8*p - 7. Is q(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - -101000100101101101010?\nAnswer: 101000100101101101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.93 - -1.83. Let y be 5\/20*3\/6. Which is the smallest value? (a) y (b) 3 (c) v (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-38)\/646*17?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.997 - 2.997. What is the biggest value in -12\/11, h, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l + d - 10, -5*l - 6*d = -d - 10. Solve 7*g + 3 = l*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 4 + 2*r**2)*((46*r + 58*r + 282*r)*(3 - 3 - 2*r) + 35 - 35 - 10*r**2) as q*r**4 + t*r**2 + k*r**3 + a + b*r and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 174423267 to the nearest integer?\nAnswer: 559","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from {n: 6, y: 2}?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - 22a?\nAnswer: -22d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 - 14*d**2 + 12*d + 22. What is p(13)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 - 11. Suppose 12*i - 11*i - 19 = n. List the prime factors of i.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 + 2*f - 6. Give q(4).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1416 (base 14) in base 5?\nAnswer: 103143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 232*g + 29. Let a(u) = 276*u + 30. Give -4*a(i) + 5*z(i).\nAnswer: 56*i + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -9*p**3 - 4*p + 3. Give n(2).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2a (base 12) to base 2.\nAnswer: 100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -3. Let c be h + 4 + (-1 - 0). Suppose -c*a = -a - 2. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 59552 to the nearest integer?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 286\/5*m**2 - 92\/5*m - 121\/5*m**3 + 8\/5 = 0. What is m?\nAnswer: 2\/11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 - 5*b**2 + 8*b - 4. Suppose 3*i - 98 + 14 = -4*j, -3*i - 60 = -4*j. Suppose t + j = -2*t. Give f(t).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ifnuiffufykk. What is prob of sequence ii?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 7559968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of i**4\/24 - 97*i**3\/6 - 3*i**2 + 6*i + 3. Let p(g) = 49. Determine -2*m(w) - 5*p(w).\nAnswer: -2*w - 51","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7 and -627514.23.\nAnswer: -4392599.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 3*p = 0. Suppose s + 6 = 4*l, p = s - 2*l + 6 - 2. Is (5 + s)*(-23)\/(-3) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 = -5*f + 670. Let t = -128 + f. What are the prime factors of t\/(-2)*3*344\/12?\nAnswer: 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, 0, -5.\nAnswer: -5, -2\/3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -276*c*j**3*v**3 - 178*c*j**3*v**2 - 2021*j**3*v**2 + 3*j**3*v - 2*j**3 - j*v**3 + 10 wrt c.\nAnswer: -276*j**3*v**3 - 178*j**3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, k: 4, d: 4, b: 7}. Give prob of sequence bnbk.\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -56493817 plus 9.3?\nAnswer: -56493807.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1631 times 12.3?\nAnswer: 2.00613","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 + 26*n - 27. Calculate s(-27).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 2*d = 4. Let c(v) = -5*v - d*v - 1 - 2. What is the units digit of c(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 + 32. Suppose 4*p + 4 = c. Calculate the remainder when 13 is divided by p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*h = -2*h + 8*h + 5*p - 5, -p = 3*h + p - 12 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -657982*g**3*s**2 + 4*g**3*s - 13*g**3 - 559*g**2*s wrt s.\nAnswer: -1315964*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 + m + 3. Let g be x(0). Suppose 0 = q - 1 - g. Let y(p) = p**3 + 10*p**2 - 12*p - 4. Let c be y(-11). Solve 13 = q*f - c for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2468 + 2533. Calculate the remainder when 193 is divided by p.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 633 - 632.95. Let l = -5 - -23. Let h = l + -18.1. Are h and x non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1122 divided by -187\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*y**4 - 116358992*y**3 + 149604324*y**2 + 199472512*y - 66490832 = 0 for y.\nAnswer: -1, 2\/7, 2, 4155677","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.16 - -0.06. Which is the nearest to -2? (a) k (b) -1\/8 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67*h + 622*h + 159 - 159 + 596*h.\nAnswer: 1285*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (18\/15 - 0)\/((-10)\/25). Let m = -2 - -3. Let d = 25 - 24. What is the nearest to m in s, d, -2\/11?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 12656468 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**2 + 205*w - 7360.\nAnswer: 5*(w - 23)*(w + 64)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -3*q - 4 - 1, -3*q = -3*l + 9. Let t be (4 + -8)*(-3)\/3 + -83. Let a = t - -75. Sort a, l, -10 in increasing order.\nAnswer: -10, a, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*t**5 + t + 2*t + 11*t wrt t.\nAnswer: -120*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*k + 0*k - 2*k)*(-1 - 2 + 0) + 0 + k + 0)*(-k**4 - 3*k**4 + k**4) + (-k**4 + 3*k**4 - k**4)*(0 - k + 0) - k**5 + 79 - 79.\nAnswer: -23*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-38)\/5 + 22\/(-55). Let j be 2\/a + 1576\/32. Suppose -5*n - j = -3*i - 1, 5*i - 67 = 4*n. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(153) + -2.\nAnswer: -3 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -173266560, -173266558, -173266554, -173266548, -173266540?\n\"Answer: w**2 - w - 173266560","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -4, 19\/261, 1?\nAnswer: 19\/261","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 20929 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, -7.49, 0.3?\nAnswer: -7.49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -805 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2605 + 13?\nAnswer: -2562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 + 27*k**2 - 25*k + 29. Let n be r(26). What is the greatest common divisor of 11 and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -689 = -5*y + 421. Does 10 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 1018437.\nAnswer: 4073748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, -16, 3, 344, 5 in decreasing order.\nAnswer: 344, 5, 3, 0, -1, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from not. Give prob of picking 1 t and 1 n.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 87 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8*192\/((-64)\/2)*5*4?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*u + 32*u - 200. Let g be -3*((0 - 1) + -5). What is the least common multiple of u and (g\/3)\/((-3)\/(-10))?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8585155993 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**2 + 94. Let q(h) = 35*h**2. Calculate q(b(x)).\nAnswer: 35*x**4 - 6580*x**2 + 309260","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((140\/21)\/(-20)*(-6 - -2))\/((-140)\/945)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 539 + -530. Which is smaller: i or 87\/11?\nAnswer: 87\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 3) to base 11\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) 0.4 (c) 52\/19 (d) 2\/3 (e) 17 (f) -0.4 (g) 70\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (7\/2)\/((-7)\/28). Let o be 3\/((-6)\/4) - -8. Let i(a) = -2*a**2 - 3. Let z(q) = -2*q**2 - 5 - 3*q**2 - 2. Determine d*i(b) + o*z(b).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 + 12*b**2 - b + 15. Let o be q(9). What are the prime factors of (-6 + 9)\/(1*3\/o)?\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -620, -619, -614, -599, -568, -515, -434?\nAnswer: -319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 29 = 5*l - l, 3*l + 5*b - 29 = 0. Let p = 42 - l. Suppose 2*n - p = 44. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 108174200821.1 plus 0.49?\nAnswer: 108174200821.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 3 = 13. Let v be (0 - -27)*4\/6. Suppose -a + 5 = k*m, -4*a + m + 53 + v = 0. Does 17 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = 12 - 24 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 189 is divided by 22.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17)*2*-6 - sqrt(153)\/(sqrt(45)\/sqrt(5)))*6.\nAnswer: -78*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -422 - -30?\nAnswer: -3a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 + 26*a**2 + 12*a - 120. Is d(-19) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 93 + -93. Let p(j) be the first derivative of -2\/5*j**3 + f*j**2 - 4 - 9\/25*j**5 + 3\/4*j**4 + 0*j. Factor p(d).\nAnswer: -3*d**2*(d - 1)*(3*d - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(13) + 2) + sqrt(156)\/sqrt(300).\nAnswer: 6 + 16*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k**(3\/10)*k))\/(k*k*k*k**(2\/33)\/k*k))\/((k**(-2\/5)\/k)\/(k\/k**(-5))) assuming k is positive.\nAnswer: k**(1333\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of -j**3\/3 + 3*j**2 - 4*j + 4. What is the units digit of q(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -34.9 - -34.8999827. Round k to six dps.\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -36.78949 to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 249 - 227. Suppose -2*y - 4*c + v = 0, 10*y - 9*y + 4*c = 19. Let r be 5 - (1 + (0 - 0)). Solve r*i + 17 = o, 0 = y*i - 8*i - 2*o - 5 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, l: 1, k: 1, g: 1, u: 1}. What is prob of picking 1 r and 1 u?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11016, 44094, 99204, 176340, 275496, 396666, 539844?\nAnswer: 705024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - 1.06. Let c = -1.94 + w. Let f = c + 2.00075. Round f to 4 dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 201995632 and 16.\nAnswer: 201995632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1413706502 to three decimal places.\nAnswer: -0.141","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/10 - (-32)\/55. Let t = -5.155 - -0.155. Let f = -3.2 + 2.9. Which is the nearest to n? (a) t (b) -0.2 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -92 - -94. Solve -2*s - a = 2*d, 5 = -s - s + d for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7244*g + 22 = 7239*g + i, 0 = g + 4*i - 4 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 3*a + 2. Does 8 divide n(30)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59842 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23 + 2?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 + 14*y**2 + 22*y + 13. Calculate m(-3).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {s: 1, j: 4, m: 3, i: 1, l: 9}.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*h**4 + h**2*n + h*n - 2*n + 149 wrt h.\nAnswer: 16*h**3 + 2*h*n + n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.8164 + -0.0815. Let n = 1.7 - t. Round n to 2 dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 262735103.\nAnswer: 73, 3599111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 0 - 9\/4*d + 5\/2*d**3 - 1\/4*d**5 + 2*d**4 - 2*d**2 = 0.\nAnswer: -1, 0, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.0595 - 0.4595. What is the smallest value in v, 1\/7, -3, -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 0.9, 1\/7, 1\/5, -0.0647?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-18)\/(-8) + (-41)\/164. Factor 1\/3*h**q - 1\/3*h**3 + 0 + 0*h.\nAnswer: -h**2*(h - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*x + 27*x + 19 = -4*t, 5*x + 5*t + 25 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 2*s**3 - s**2 + 188*s - 367. Let k be i(2). Solve -81 = -k*a + 12*a for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.4 + 3.6. Let t = 5.4 + -5. Suppose 2*u = 5*u + 6. Which is the second smallest value? (a) t (b) n (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**17*z*z\/((z*(z\/z**(-11))\/z)\/z)*z**(-26)*z**(16\/5) assuming z is positive.\nAnswer: z**(-74\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(735)*1 + sqrt(15))\/(sqrt(27)*-4))**2.\nAnswer: 20\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 3112*w - 3117*w + 22 = 0, w = -2*h - 34 for h.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2.6? (a) 109\/5 (b) -0.1 (c) 19 (d) 1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/5? (a) -1 (b) 5 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/((z*z\/((z**(-2\/3)\/z)\/z))\/z))\/(z\/((z\/z**4)\/z)))**(-24)\/((z**(-2\/7)\/z*z)**(4\/7)\/(z**(1\/2))**(-20)) assuming z is positive.\nAnswer: z**(8534\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1030 * 155.\nAnswer: 159650","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2851091 to the nearest integer?\nAnswer: 1689","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 18*s - 52. Let g be h(5). Let 22*l**2 + g*l**4 - 2*l**5 - 22*l**2 - 32*l**4 = 0. Calculate l.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 6 = -f - 3, -1 = f for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 58, 47, 28, 1, -34, -77, -128?\nAnswer: -187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 36\/21 - 2 - (-391)\/119. Solve -11 - t = 7*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 - 5*p**2 + 2*p + 3. Calculate v(-6).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + 18*7\/2. Suppose 12*p - 16*p + 260 = 0. Is p greater than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-6)*f\/(f\/(f**(-4\/5)\/f))*((f*f**(8\/15)*f)\/f)\/f**19)**(-2\/43) assuming f is positive.\nAnswer: f**(758\/645)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*n**2 - 5*n**2 + 2*n**2 + (3 + 6*n - 3)*(n + 4 - 4*n + n).\nAnswer: -11*n**2 + 24*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3d0 - 4?\nAnswer: -3d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hb when two letters picked without replacement from hgbhbgzbgh?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -2*a - 13, -6*y = -3*a - 2*y - 11. What is the nearest to 1\/3 in 0.03, -0.3, a?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.1 + -5.1. Let v = -6.9 - -9. Let m = v + -2.2. What is the closest to m in 3\/4, j, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 PM and 12:26 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 15) in base 14?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o - 11. Let m be i(-8). Let w be m\/(-2 + 7\/5). Solve 2 = -3*v + w*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by -2343.\nAnswer: 7\/2343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 185628931 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7188 is divided by 141.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 234.7 + -235.2. Which is the closest to 2\/13? (a) l (b) -0.01 (c) -0.3 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.52 + -5.52. Sort r, -4, 5, -0.29 in descending order.\nAnswer: 5, -0.29, -4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 28*p**2 - 48*p + 106. Is t(17) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a microgram in nanograms?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*m + 26*m + 396 = 24*m for m.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/(-8)*(-1944)\/270.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7986.74229 * -0.4.\nAnswer: 3194.696916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-429)\/104)\/(306\/(-3264))?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 2)*(-3 + 2 + 0)*(9*i - 8*i - 4*i).\nAnswer: 9*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -404*w - 6. Let a be d(3). Is (a\/(-9))\/((-4)\/(-6)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 77 = x, 3*l = -2*l + 3*x + 198. Suppose b - 1 = 13. Calculate the remainder when l is divided by b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 i when three letters picked without replacement from {u: 9, i: 2}?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2 - 39*y + 114. Let t be d(21). What is the units digit of -6 - 69*(t\/18 - 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19005 divided by -15?\nAnswer: -1267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4633 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 172429921?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 5*t + 25, 4*u - 4*t - 13 = u. Suppose 3*f = -2*r - 11, -r - 1 = -0*r. Is u != f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s + 393 + 951 = 0. Let x = -194 + s. Put 5, -3, x, -5 in ascending order.\nAnswer: -5, -3, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(288)*1*-3 - ((-2*sqrt(288) - sqrt(288))*5 - sqrt(288))) + (sqrt(288)*2*3 - (0 + sqrt(288) + 5))**2.\nAnswer: -444*sqrt(2) + 7223","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 86?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {d: 1, r: 1, u: 1, v: 1, k: 4}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1445481 + 1445476. Let f = 0 + -0.028. Which is the closest to -1? (a) z (b) f (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.93580262 to two decimal places.\nAnswer: 3.94","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -76 + 110. Let y(z) = -2*z**2 - 2*z - 1. Let n be y(-1). Calculate the remainder when u is divided by (-13)\/n - (-1)\/(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 58715 - -13?\nAnswer: 58728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8983.45 and -6.02.\nAnswer: -54080.369","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 35965117.9999959 - 35965125. Let h = -7 - x. What is h rounded to six dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-two fifths of a litre?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*u - 4*w - w - 3, 740 = 11*u + 2*w + 760 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 18*d + 3. Let t be z(5). Let k = -24 + t. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25735064 is divided by 83.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4787*u**2 - 3622*u**2 + 122*u + 1257*u**2 + 669*u - 2051*u**2 - 1 wrt u.\nAnswer: -18406","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6312457731\/1384 + -4561023. Let x be (2\/(-6))\/((-346)\/3). Let m = x + l. Find the common denominator of m and -143\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -97*x**3 + 26*x**2 - 31*x - 1491. Is q(-25) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 - 5*j**2 + 7*j + 12. Calculate the remainder when 143 is divided by u(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26.6*0.08028.\nAnswer: -2.135448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 211 + -215.86. Let j = -0.56 - p. What is j rounded to zero dps?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -210054?\nAnswer: 2\/105027","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 13*n - 1360. Let v be l(105). Solve -j - v = 0, s + 0*j = 4*j + 18 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4 + 8 + 2\/(-2). Let x(s) = a - 3*s + 0*s + 12*s - 4*s. Let k(d) = 16*d + 10. Determine -3*k(c) + 10*x(c).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6533 - 6532.9. What is the closest to m in -0.5, 28, 5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 189 and 205443.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11 or 4611?\nAnswer: 4611","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -90, -92, -94, -96, -98?\n\"Answer: -2*p - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the second derivative of l**4\/8 - l**3\/6 - l**2 + 24*l. Let b(o) be the first derivative of w(o). Suppose 7*i - 5*i = -2. What is b(i)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.2 + 0.3. Let u = 13.4 - 13.5. Which is the nearest to n? (a) -3\/8 (b) u (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -13*c - 38. Let a(o) = 3*o**2 + 9. Determine -4*a(r) - u(r).\nAnswer: -12*r**2 + 13*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 0 + (-1 - 1) + 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -240562932, -481125860, -721688790, -962251722, -1202814656?\nAnswer: -1443377592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (11\/(-3) - -1)\/(2\/(-177)). Suppose -v = -5*u - 4*w, 126 = 2*u - 2*w + 28. Is 9 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 2)*(7 + 43*x - 7).\nAnswer: 43*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 119087788?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1566*v - 430510 = 5129*v - 163285 for v.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - 2)*(-210)\/(-84). Let x be -20*1\/(g\/8). What is the greatest common divisor of x and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -11*k. Let w(j) = 56*j. Give w(l(b)).\nAnswer: -616*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 35 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*h**2 + 4*h**2 - 2*h**3)*(1 + 1 + 2) - 3*h**3 - 3*h**3 + 0*h**3 + (h**3 + 0*h + 0*h)*(1 + 3 - 2) as u*h**2 + l + v*h + j*h**3 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 8, -r = 2*m - 6*r + 14. Suppose 5*x + 3 = -3*f, 0 = f + 4*f - m*x + 39. Let w = 19 - f. Is 25 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 5*j**2. Let i(z) = -1039*z**2 + 1. Calculate p(i(w)).\nAnswer: 5397605*w**4 - 10390*w**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of -b**6\/180 + b**3\/3 - b**2. Let w(p) be the first derivative of u(p). Let n(c) = -2*c**2. Give w(n(f)).\nAnswer: -8*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -7\/17 (b) 3\/104 (c) -0.4 (d) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*t = -2*t + 278856. Let l be 9\/(-21) + t\/(-84). Let i(o) = -23*o. Let j be i(-1). Calculate the greatest common factor of j and l.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + j + 109, 7*w - 4*j = 3*w - 140. Let i = 41 + w. What is the greatest common divisor of 1 and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l - 2*l - 24*l**2 + 14*l**2 + 11*l**2.\nAnswer: l**2","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 {x: 2, z: 10}?\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -23 + (4 - -3) + -7 + 7.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4729 is divided by 18?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -5*r**2 + 2*r - 2. Let i(d) = 107*d - 208*d + 106*d - 5 - 11*d**2. Give -5*g(o) + 2*i(o).\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -261eaa (base 15) to base 16\nAnswer: -1be941","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}